Instruction: Solve this question, explain in multiple styles, classify type, and generate a similar question.


Instruction: Solve this question, explain in multiple styles, classify type, and generate a similar question.

Input:
•
	G	E	N	E	R	I	C	 	M	A	R	K	I	N	G	 	P	R	I	N	C	I	P	L	E	 	1	:
	M	a	r	k	s	 	m	u	s	t	 	b	e	 	a	w	a	r	d	e	d	 	i	n	 	l	i	n	e	 	w	i	t	h	:

	t	h	e	 	s	p	e	c	i	f	i	c	 	c	o	n	t	e	n	t	 	o	f	 	t	h	e	 	m	a	r	k	 	s	c	h	e	m	e	 	o	r	 	t	h	e	 	g	e	n	e	r	i	c	 	l	e	v	e	l	 	d	e	s	c	r	i	p	t	o	r	s	 	f	o	r	 	t	h	e	 	q	u	e	s	t	i	o	n
	•
	t	h	e	 	s	p	e	c	i	f	i	c	 	s	k	i	l	l	s	 	d	e	f	i	n	e	d	 	i	n	 	t	h	e	 	m	a	r	k	 	s	c	h	e	m	e	 	o	r	 	i	n	 	t	h	e	 	g	e	n	e	r	i	c	 	l	e	v	e	l	 	d	e	s	c	r	i	p	t	o	r	s	 	f	o	r	 	t	h	e	 	q	u	e	s	t	i	o	n
	•
	t	h	e	 	s	t	a	n	d	a	r	d	 	o	f	 	r	e	s	p	o	n	s	e	 	r	e	q	u	i	r	e	d	 	b	y	 	a	 	c	a	n	d	i	d	a	t	e	 	a	s	 	e	x	e	m	p	l	i	f	i	e	d	 	b	y	 	t	h	e	 	s	t	a	n	d	a	r	d	i	s	a	t	i	o	n	 	s	c	r	i	p	t	s	.
G	E	N	E	R	I	C	 	M	A	R	K	I	N	G	 	P	R	I	N	C	I	P	L	E	 	2	:
	M	a	r	k	s	 	a	w	a	r	d	e	d	 	a	r	e	 	a	l	w	a	y	s	 	w	h	o	l	e	 	m	a	r	k	s	 	(	n	o	t	 	h	a	l	f	 	m	a	r	k	s	,	 	o	r	 	o	t	h	e	r	 	f	r	a	c	t	i	o	n	s	)	.
•
	G	E	N	E	R	I	C	 	M	A	R	K	I	N	G	 	P	R	I	N	C	I	P	L	E	 	3	:
	M	a	r	k	s	 	m	u	s	t	 	b	e	 	a	w	a	r	d	e	d	 	p	o	s	i	t	i	v	e	l	y	:

	m	a	r	k	s	 	a	r	e	 	a	w	a	r	d	e	d	 	f	o	r	 	c	o	r	r	e	c	t	/	v	a	l	i	d	 	a	n	s	w	e	r	s	,	 	a	s	 	d	e	f	i	n	e	d	 	i	n	 	t	h	e	 	m	a	r	k	 	s	c	h	e	m	e	.	 	H	o	w	e	v	e	r	,	 	c	r	e	d	i	t	 	i	s	 	g	i	v	e	n	 	f	o	r	 	v	a	l	i	d	 	a	n	s	w	e	r	s	 	w	h	i	c	h	 	g	o	 	b	e	y	o	n	d	 	t	h	e	 	s	c	o	p	e	 	o	f	 	t	h	e
	s	y	l	l	a	b	u	s	 	a	n	d	 	m	a	r	k	 	s	c	h	e	m	e	,	 	r	e	f	e	r	r	i	n	g	 	t	o	 	y	o	u	r	 	T	e	a	m	 	L	e	a	d	e	r	 	a	s	 	a	p	p	r	o	p	r	i	a	t	e
	•
	m	a	r	k	s	 	a	r	e	 	a	w	a	r	d	e	d	 	w	h	e	n	 	c	a	n	d	i	d	a	t	e	s	 	c	l	e	a	r	l	y	 	d	e	m	o	n	s	t	r	a	t	e	 	w	h	a	t	 	t	h	e	y	 	k	n	o	w	 	a	n	d	 	c	a	n	 	d	o
	•
	m	a	r	k	s	 	a	r	e	 	n	o	t	 	d	e	d	u	c	t	e	d	 	f	o	r	 	e	r	r	o	r	s
	•
	m	a	r	k	s	 	a	r	e	 	n	o	t	 	d	e	d	u	c	t	e	d	 	f	o	r	 	o	m	i	s	s	i	o	n	s
	•
	a	n	s	w	e	r	s	 	s	h	o	u	l	d	 	o	n	l	y	 	b	e	 	j	u	d	g	e	d	 	o	n	 	t	h	e	 	q	u	a	l	i	t	y	 	o	f	 	s	p	e	l	l	i	n	g	,	 	p	u	n	c	t	u	a	t	i	o	n	 	a	n	d	 	g	r	a	m	m	a	r	 	w	h	e	n	 	t	h	e	s	e	 	f	e	a	t	u	r	e	s	 	a	r	e	 	s	p	e	c	i	f	i	c	a	l	l	y	 	a	s	s	e	s	s	e	d	 	b	y	 	t	h	e	 	q	u	e	s	t	i	o	n	 	a	s
	i	n	d	i	c	a	t	e	d	 	b	y	 	t	h	e	 	m	a	r	k	 	s	c	h	e	m	e	.	 	T	h	e	 	m	e	a	n	i	n	g	,	 	h	o	w	e	v	e	r	,	 	s	h	o	u	l	d	 	b	e	 	u	n	a	m	b	i	g	u	o	u	s	.
G	E	N	E	R	I	C	 	M	A	R	K	I	N	G	 	P	R	I	N	C	I	P	L	E	 	4	:
	R	u	l	e	s	 	m	u	s	t	 	b	e	 	a	p	p	l	i	e	d	 	c	o	n	s	i	s	t	e	n	t	l	y	,	 	e	.	g	.	 	i	n	 	s	i	t	u	a	t	i	o	n	s	 	w	h	e	r	e	 	c	a	n	d	i	d	a	t	e	s	 	h	a	v	e	 	n	o	t	 	f	o	l	l	o	w	e	d	 	i	n	s	t	r	u	c	t	i	o	n	s	 	o	r	 	i	n	 	t	h	e	 	a	p	p	l	i	c	a	t	i	o	n	 	o	f	 	g	e	n	e	r	i	c	 	l	e	v	e	l	 	d	e	s	c	r	i	p	t	o	r	s	.
G	E	N	E	R	I	C	 	M	A	R	K	I	N	G	 	P	R	I	N	C	I	P	L	E	 	5	:
	M	a	r	k	s	 	s	h	o	u	l	d	 	b	e	 	a	w	a	r	d	e	d	 	u	s	i	n	g	 	t	h	e	 	f	u	l	l	 	r	a	n	g	e	 	o	f	 	m	a	r	k	s	 	d	e	f	i	n	e	d	 	i	n	 	t	h	e	 	m	a	r	k	 	s	c	h	e	m	e	 	f	o	r	 	t	h	e	 	q	u	e	s	t	i	o	n	 	(	h	o	w	e	v	e	r	;	 	t	h	e	 	u	s	e	 	o	f	 	t	h	e	 	f	u	l	l	 	m	a	r	k	 	r	a	n	g	e	 	m	a	y	 	b	e	 	l	i	m	i	t	e	d
	a	c	c	o	r	d	i	n	g	 	t	o	 	t	h	e	 	q	u	a	l	i	t	y	 	o	f	 	t	h	e	 	c	a	n	d	i	d	a	t	e	 	r	e	s	p	o	n	s	e	s	 	s	e	e	n	)	.
G	E	N	E	R	I	C	 	M	A	R	K	I	N	G	 	P	R	I	N	C	I	P	L	E	 	6	:
	M	a	r	k	s	 	a	w	a	r	d	e	d	 	a	r	e	 	b	a	s	e	d	 	s	o	l	e	l	y	 	o	n	 	t	h	e	 	r	e	q	u	i	r	e	m	e	n	t	s	 	a	s	 	d	e	f	i	n	e	d	 	i	n	 	t	h	e	 	m	a	r	k	 	s	c	h	e	m	e	.	 	M	a	r	k	s	 	s	h	o	u	l	d	 	n	o	t	 	b	e	 	a	w	a	r	d	e	d	 	w	i	t	h	 	g	r	a	d	e	 	t	h	r	e	s	h	o	l	d	s	 	o	r	 	g	r	a	d	e	 	d	e	s	c	r	i	p	t	o	r	s	 	i	n
	m	i	n	d	.


Instruction: Solve this question, explain in multiple styles, classify type, and generate a similar question.


Instruction: Solve this question, explain in multiple styles, classify type, and generate a similar question.


Instruction: Solve this question, explain in multiple styles, classify type, and generate a similar question.


Instruction: Solve this question, explain in multiple styles, classify type, and generate a similar question.

Input:
Q	u	e	s	t	i	o	n
A	n	s	w	e	r
M	a	r	k	s
G	u	i	d	a	n	c	e
2
[	=	 	−	3	 	]
	E	(	S	1	 	+	 	S	2	 	+	 	S	3	 	–	 	L	)	 	=	 	1	6	 	x	 	3	 	–	 	5	1
B	1
O	e	,	 	u	s	i	n	g	 	L	 	–	 	(	S	1	 	+	 	S	2	 	+	 	S	3	 	)	.

[	=	 	2	.	1	]
	V	a	r	(	S	1	 	+	 	S	2	 	+	 	S	3	 	–	 	L	)	 	=	 	3	 	×	 	0	.	4	 	+	 	0	.	9
M	1

0
	−	 	−
	3	)

	[	=	 	2	.	0	7	0	]
	'	2	.	1	'
M	1
F	o	r	 	s	t	a	n	d	a	r	d	i	s	i	n	g	 	w	i	t	h	 	t	h	e	i	r	 	v	a	l	u	e	s	.

1	 	−	 	Φ	(	‘	2	.	0	7	0	’	)
M	1
F	o	r	 	a	r	e	a	 	c	o	n	s	i	s	t	e	n	t	 	w	i	t	h	 	t	h	e	i	r	 	v	a	l	u	e	s	.

=	 	0	.	0	1	9	2	 	(	3	 	s	f	)
A	1

5


Instruction: Solve this question, explain in multiple styles, classify type, and generate a similar question.

Input:
Q	u	e	s	t	i	o	n
A	n	s	w	e	r
M	a	r	k	s
G	u	i	d	a	n	c	e
4	(	a	)
a	 	x
	3
	1	8
	 	=	 	1
	(
	−
	)	d
	x
	2
	3
	x
	
	2
M	1
A	t	t	e	m	p	t	 	i	n	t	e	g	r	a	t	e	 	f	(	x	)	,	 	i	g	n	o	r	e	 	l	i	m	i	t	s	 	a	n	d	 	‘	=	 	1	’	.

a	x
	2	9
	3	 	2
	
	
	−
	+

	 	=	 	1
	x
	
	
A	1
O	E	 	C	o	r	r	e	c	t	 	i	n	t	e	g	r	a	t	i	o	n	 	a	n	d	 	l	i	m	i	t	s	.

2	7
	a
	a
	9

	 	=	 	1	 	a	 	=
	 	(	A	G	)
	
	
	−
	+
	1
	+
	−
	2
	3
	2
	4
	
	

A	1	 	 	M	u	s	t	 	s	e	e	 	c	o	r	r	e	c	t	 	s	u	b	s	t	i	t	u	t	i	o	n	 	o	f	 	l	i	m	i	t	s	.
	C	o	r	r	e	c	t	 	w	o	r	k	i	n	g	 	n	o	 	e	r	r	o	r	s	 	s	e	e	n	.

3


Instruction: Solve this question, explain in multiple styles, classify type, and generate a similar question.

Input:
Q	u	e	s	t	i	o	n
A	n	s	w	e	r
M	a	r	k	s
G	u	i	d	a	n	c	e
5	(	a	)
T	w	o	-	t	a	i	l	e	d	 	b	e	c	a	u	s	e	 	l	o	o	k	i	n	g	 	f	o	r	 	d	i	f	f	e	r	e	n	c	e
B	1

1


Instruction: Solve this question, explain in multiple styles, classify type, and generate a similar question.

Input:
Q	u	e	s	t	i	o	n
A	n	s	w	e	r
M	a	r	k	s
G	u	i	d	a	n	c	e
6	(	a	)
2
	2	.	7
	[	λ	 	=	 	2	.	7	]	 	1	 	−	 	e	−	2	.	7	(	1	 	+	 	2	.	7	 	+
	)	 	o	r	 	1	 	−	 	e	−	2	.	7	(	1	 	+	 	2	.	7	 	+	3	.	6	4	5	)
	2
	o	r	 	1	-	 	(	 	0	.	0	6	7	2	1	 	+	 	0	.	1	8	1	5	 	+	 	0	.	2	4	5	0	 	)
M	1
A	n	y	 	λ	.	 	A	l	l	o	w	 	o	n	e	 	e	n	d	 	e	r	r	o	r	.
	M	u	s	t	 	s	e	e	 	e	x	p	r	e	s	s	i	o	n	.

=	 	0	.	5	0	6	 	(	3	 	s	f	)
A	1
S	C	 	u	n	s	u	p	p	o	r	t	e	d	 	a	n	s	w	e	r	 	0	.	5	0	6	 	s	c	o	r	e	s	 	B	1	.

2


Instruction: Solve this question, explain in multiple styles, classify type, and generate a similar question.

Input:
Q	u	e	s	t	i	o	n
A	n	s	w	e	r
M	a	r	k	s
G	u	i	d	a	n	c	e
6	(	b	)
λ	 	=	 	1	.	9	5
B	1

2
	3
	1	.	9	5
	1	.	9	5
	e	−	1	.	9	5	(	1	 	+	 	1	.	9	5	 	+
	 	+
	)	 	o	r	 	e	−	1	.	9	5	(	1	 	+	 	1	.	9	5	 	+	 	1	.	9	0	1	2	5	 	+	1	.	2	3	5	8	)
	2
	3	!
	o	r	 	0	.	1	4	2	3	 	+	 	0	.	2	7	7	4	+	 	0	.	2	7	0	5	 	+	 	0	.	1	7	5	8
M	1
A	n	y	 	λ	.	 	A	l	l	o	w	 	o	n	e	 	e	n	d	 	e	r	r	o	r	.
	M	u	s	t	 	s	e	e	 	e	x	p	r	e	s	s	i	o	n	.

=	 	0	.	8	6	6
A	1
S	C	 	u	n	s	u	p	p	o	r	t	e	d	 	a	n	s	w	e	r	 	0	.	8	6	6	 	s	c	o	r	e	s	 	B	1	B	1	.

3

6	(	c	)
1	 	–	 	e	-	2	.	1	x	 	⩾	 	0	.	9	0	 	o	r	 	1	 	–	 	e	−	λ	 	⩾	 	0	.	9	0
M	1
O	E	 	C	o	n	d	o	n	e	 	u	s	e	 	o	f	 	‘	=	’	 	t	h	r	o	u	g	h	o	u	t	.

[	e	−	2	.	1	x	 	<	 	0	.	1	]	 	o	r	 	e	−	λ	 	<	 	0	.	1
	−	2	.	1	x	 	<	 	l	n	0	.	1	 	o	r	 	−	λ	 	<	 	l	n	0	.	1	 	[	 	λ	 	>	 	2	.	3	0	2	6	,	 	2	.	3	0	2	6	/	2	.	1	 	]
M	1
R	e	a	r	r	a	n	g	e	 	a	n	d	 	a	t	t	e	m	p	t	 	t	a	k	e	 	l	o	g	s	 	o	f	 	r	e	l	e	v	a	n	t	 	f	o	r	m	.

1	.	0	9	6	 	o	r	 	1	0	.	9	6	 	a	c	c	e	p	t	 	1	.	0	9	7	 	o	r	 	1	0	.	9	7
*	A	1
S	e	e	n	.

S	h	e	 	m	u	s	t	 	w	a	i	t	 	f	o	r	 	a	t	 	l	e	a	s	t	 	1	1	 	m	i	n	u	t	e	s
A	1	 	d	e	p

U
	 	 	U
	 	 	λ
	 	 	T
	S	C	 	U	s	e	 	o	f	 	t	r	i	a	l	 	a	n	d	 	i	m	p	r	o	v	e	m	e	n	t	.
	s	e	 	o	f	 	1	–	e	-	λ	 	 	a	n	y	 	n	u	m	e	r	i	c	a	l	 	λ	 	(	n	o	t	 	2	.	1	)	 	i	e	 	o	n	e	 	t	r	i	a	l	 	M	1	.
	s	e	 	o	f	 	e	n	o	u	g	h	 	t	r	i	a	l	s	 	t	o	 	g	i	v	e	 	a	n	 	a	n	s	w	e	r	 	o	f	 	0	.	9	0	 	(	2	s	f	)	 	M	1	.
	=	2	.	3	0	 	i	.	e	.	 	3	s	f	 	a	c	c	u	r	a	c	y	 	A	N	D	 	1	.	0	9	…	 	o	r	 	1	0	.	9	 	…	 	A	1	.
	h	e	n	 	1	1	 	A	1	 	d	e	p	.

4


Instruction: Solve this question, explain in multiple styles, classify type, and generate a similar question.

Input:
Q	u	e	s	t	i	o	n
A	n	s	w	e	r
M	a	r	k	s
G	u	i	d	a	n	c	e
7	(	a	)
λ	 	=	 	6	.	6
B	1

2
	6	.	6
	P	(	X	 	<	 	2	)	 	=	 	e	−	6	.	6	(	1	 	+	 	6	.	6	 	+
	)	 	[	=	 	0	.	0	4	0	0	]	 	[	 	<	 	0	.	0	5	 	]
	2
	o	r	 	e	−	6	.	6	(	1	 	+	 	6	.	6	 	+	 	2	1	.	7	8	 	)
	o	r	 	0	.	0	0	1	3	6	0	 	+	 	0	.	0	0	8	9	7	8	 	+	 	0	.	0	2	9	6	3
M	1
E	x	p	r	e	s	s	i	o	n	 	m	u	s	t	 	b	e	 	s	e	e	n	.	 	N	o	 	e	n	d	 	e	r	r	o	r	s	.
	A	l	l	o	w	 	u	s	e	 	o	f	 	3	.	3	 	h	e	r	e	.

2
	3
	3
	6	.	6
	6	.	6
	6	.	6
	P	(	X	 	<	 	3	)	 	=	 	e	−	6	.	6	(	1	 	+	 	6	.	6	 	+
	+
	)	 	o	r	 	0	.	0	4	0	0	 	+	 	e	−	6	.	6	×
	 	=
	2
	3	!
	3	!
	0	.	1	0	5	 	[	 	>	 	0	.	0	5	 	]
B	1
C	o	n	d	o	n	e	 	u	n	s	u	p	p	o	r	t	e	d	 	0	.	1	0	5	.

P	(	T	y	p	e	 	I	 	e	r	r	o	r	)	 	=	 	0	.	0	4	0	0	 	(	3	 	s	f	)
A	1
S
	A	l	l	o	w	 	0	.	0	4	0	 	o	r	 	0	.	0	4	 	A	W	R	T
	C	 	u	n	s	u	p	p	o	r	t	e	d	 	a	n	s	 	o	f	 	0	.	0	4	0	0	 	c	a	n	 	s	c	o	r	e	 	m	a	x	 	B	1	B	1	B	1	.

4

7	(	b	)
H	0	:	 	λ	 	=	 	6	.	6	,	 	H	1	:	 	λ	 	<	 	6	.	6

B	1	 	 	M	a	y	 	b	e	 	s	e	e	n	 	i	n	 	p	a	r	t	 	(	a	)	 	a	n	d	 	a	w	a	r	d	 	B	1	 	m	a	r	k	 	h	e	r	e	.
	A	c	c	e	p	t	 	µ	 	o	r	 	λ	.
	A	c	c	e	p	t	 	3	.	3	 	o	r	 	6	.	6	.

[	P	(	X	 	<	 	2	)	 	=	 	0	.	0	4	0	0	]	 	`	 	0	.	0	4	 	`	 	<	 	0	.	0	5
M	1
F	o	r	 	c	o	m	p	a	r	i	n	g	 	t	h	e	i	r	 	P	(	X	 	<	 	2	)	 	a	n	y	 	λ	 	w	i	t	h	 	0	.	0	5	.

[	R	e	j	e	c	t	 	H	0	]	 	T	h	e	r	e	 	i	s	 	e	v	i	d	e	n	c	e	 	t	o	 	s	u	g	g	e	s	t	 	t	h	a	t	 	m	e	a	n	 	n	u	m	b	e	r	 	o	f
	a	c	c	i	d	e	n	t	s	 	h	a	s	 	d	e	c	r	e	a	s	e	d
A	1
I
	n	 	c	o	n	t	e	x	t	,	 	n	o	t	 	d	e	f	i	n	i	t	e	.
	N	o	 	c	o	n	t	r	a	d	i	c	t	i	o	n	s	.
	C	W	O	.

3


Instruction: Solve this question, explain in multiple styles, classify type, and generate a similar question.

Input:
Q	u	e	s	t	i	o	n
A	n	s	w	e	r
M	a	r	k	s
G	u	i	d	a	n	c	e
7	(	c	)
P	(	X	 	>	 	2	)	 	a	t	t	e	m	p	t	e	d	,	 	w	i	t	h	 	a	n	y	 	λ
M	1

2
	1	.	2
	P	(	X	 	>	 	2	)	 	=	 	1	 	−	 	e	−	1	.	2	(	1	 	+	 	1	.	2	 	+
	)
	2
	o	r	 	=	 	1	 	−	 	e	−	1	.	2	(	1	 	+	 	1	.	2	 	+	0	.	7	2	)
	o	r	 	=	 	1	 	–	 	(	 	0	.	3	0	1	2	 	+	 	0	.	3	6	1	4	 	+	 	0	.	2	1	6	9	 	)
M	1
E	x	p	r	e	s	s	i	o	n	 	m	u	s	t	 	b	e	 	s	e	e	n	.
	C	o	r	r	e	c	t	 	λ	.
	N	o	 	e	n	d	 	e	r	r	o	r	s	.

0	.	1	2	1	 	(	3	 	s	f	)	 	o	r	 	0	.	1	2	0
A	1
S	C	 	u	n	s	u	p	p	o	r	t	e	d	 	a	n	s	w	e	r	 	s	c	o	r	e	s	 	B	2	.

3

7	(	d	)
N	(	1	8	,	 	1	8	)	 	s	e	e	n	 	o	r	 	i	m	p	l	i	e	d
B	1

1	0	.	5
	−
	1	8
	 	[	=	 	−	1	.	7	6	8	]
	1	8
M	1
A	l	l	o	w	 	w	i	t	h	 	n	o	 	o	r	 	i	n	c	o	r	r	e	c	t	 	c	o	n	t	i	n	u	i	t	y	 	c	o	r	r	e	c	t	i	o	n	.
	T	h	e	i	r	 	1	8	.

P	(	X	 	>	 	‘	−	1	.	7	6	8	’	)	 	=	 	Φ	(	‘	1	.	7	6	8	’	)
M	1
f	t	 	t	h	e	i	r	 	s	t	a	n	d	a	r	d	i	s	e	d	 	v	a	l	u	e	.
	A	r	e	a	 	c	o	n	s	i	s	t	e	n	t	 	w	i	t	h	 	t	h	e	i	r	 	v	a	l	u	e	s	.

=	 	0	.	9	6	1	 	o	r	 	0	.	9	6	2	 	(	3	 	s	f	)
A	1

4


Instruction: Solve this question, explain in multiple styles, classify type, and generate a similar question.


Instruction: Solve this question, explain in multiple styles, classify type, and generate a similar question.


Instruction: Solve this question, explain in multiple styles, classify type, and generate a similar question.


Instruction: Solve this question, explain in multiple styles, classify type, and generate a similar question.


Instruction: Solve this question, explain in multiple styles, classify type, and generate a similar question.


Instruction: Solve this question, explain in multiple styles, classify type, and generate a similar question.

Input:
X

Y


Instruction: Solve this question, explain in multiple styles, classify type, and generate a similar question.


Instruction: Solve this question, explain in multiple styles, classify type, and generate a similar question.

Input:
s	a	m	p	l	e	 	X
s	a	m	p	l	e	 	Y
p	r	e	s	s	u	r	e

a	m	o	u	n	t	 	o	f
	s	u	b	s	t	a	n	c	e

m	e	a	n	-	s	q	u	a	r	e	 	s	p	e	e	d
	o	f	 	m	o	l	e	c	u	l	e	s

i	n	t	e	r	n	a	l	 	e	n	e	r	g	y


Instruction: Solve this question, explain in multiple styles, classify type, and generate a similar question.


Instruction: Solve this question, explain in multiple styles, classify type, and generate a similar question.

Input:
0

2

4

6

8

1	0

1	2

h	 	/	 	c	m


Instruction: Solve this question, explain in multiple styles, classify type, and generate a similar question.


Instruction: Solve this question, explain in multiple styles, classify type, and generate a similar question.


Instruction: Solve this question, explain in multiple styles, classify type, and generate a similar question.


Instruction: Solve this question, explain in multiple styles, classify type, and generate a similar question.

Input:
0
0	.	0	1

0	.	0	2
0	.	0	3
	0	.	0	4
	t	 	/	 	s


Instruction: Solve this question, explain in multiple styles, classify type, and generate a similar question.


Instruction: Solve this question, explain in multiple styles, classify type, and generate a similar question.


Instruction: Solve this question, explain in multiple styles, classify type, and generate a similar question.


Instruction: Solve this question, explain in multiple styles, classify type, and generate a similar question.


Instruction: Solve this question, explain in multiple styles, classify type, and generate a similar question.


Instruction: Solve this question, explain in multiple styles, classify type, and generate a similar question.


Instruction: Solve this question, explain in multiple styles, classify type, and generate a similar question.


Instruction: Solve this question, explain in multiple styles, classify type, and generate a similar question.


Instruction: Solve this question, explain in multiple styles, classify type, and generate a similar question.


Instruction: Solve this question, explain in multiple styles, classify type, and generate a similar question.


Instruction: Solve this question, explain in multiple styles, classify type, and generate a similar question.

Input: [Image: qdata/images/9702_s24_ms_41.pdf_page_1_figure_1.jpeg]


Instruction: Solve this question, explain in multiple styles, classify type, and generate a similar question.

Input:
M
	 	 	
	G	E	N	E	R	I	C	 	M	A	R	K	I	N	G	 	P	R	I	N	C	I	P	L	E	 	1	:
	a	r	k	s	 	m	u	s	t	 	b	e	 	a	w	a	r	d	e	d	 	i	n	 	l	i	n	e	 	w	i	t	h	:

	t	h	e	 	s	p	e	c	i	f	i	c	 	c	o	n	t	e	n	t	 	o	f	 	t	h	e	 	m	a	r	k	 	s	c	h	e	m	e	 	o	r	 	t	h	e	 	g	e	n	e	r	i	c	 	l	e	v	e	l	 	d	e	s	c	r	i	p	t	o	r	s	 	f	o	r	 	t	h	e	 	q	u	e	s	t	i	o	n
	t	h	e	 	s	p	e	c	i	f	i	c	 	s	k	i	l	l	s	 	d	e	f	i	n	e	d	 	i	n	 	t	h	e	 	m	a	r	k	 	s	c	h	e	m	e	 	o	r	 	i	n	 	t	h	e	 	g	e	n	e	r	i	c	 	l	e	v	e	l	 	d	e	s	c	r	i	p	t	o	r	s	 	f	o	r	 	t	h	e	 	q	u	e	s	t	i	o	n
	
	t	h	e	 	s	t	a	n	d	a	r	d	 	o	f	 	r	e	s	p	o	n	s	e	 	r	e	q	u	i	r	e	d	 	b	y	 	a	 	c	a	n	d	i	d	a	t	e	 	a	s	 	e	x	e	m	p	l	i	f	i	e	d	 	b	y	 	t	h	e	 	s	t	a	n	d	a	r	d	i	s	a	t	i	o	n	 	s	c	r	i	p	t	s	.
	
M
	G	E	N	E	R	I	C	 	M	A	R	K	I	N	G	 	P	R	I	N	C	I	P	L	E	 	2	:
	a	r	k	s	 	a	w	a	r	d	e	d	 	a	r	e	 	a	l	w	a	y	s	 	w	h	o	l	e	 	m	a	r	k	s	 	(	n	o	t	 	h	a	l	f	 	m	a	r	k	s	,	 	o	r	 	o	t	h	e	r	 	f	r	a	c	t	i	o	n	s	)	.
M
	 	 	
	G	E	N	E	R	I	C	 	M	A	R	K	I	N	G	 	P	R	I	N	C	I	P	L	E	 	3	:
	a	r	k	s	 	m	u	s	t	 	b	e	 	a	w	a	r	d	e	d	 	p	o	s	i	t	i	v	e	l	y	:

	m	a	r	k	s	 	a	r	e	 	a	w	a	r	d	e	d	 	f	o	r	 	c	o	r	r	e	c	t	/	v	a	l	i	d	 	a	n	s	w	e	r	s	,	 	a	s	 	d	e	f	i	n	e	d	 	i	n	 	t	h	e	 	m	a	r	k	 	s	c	h	e	m	e	.	 	H	o	w	e	v	e	r	,	 	c	r	e	d	i	t	 	i	s	 	g	i	v	e	n	 	f	o	r	 	v	a	l	i	d	 	a	n	s	w	e	r	s	 	w	h	i	c	h	 	g	o	 	b	e	y	o	n	d
	t	h	e	 	s	c	o	p	e	 	o	f	 	t	h	e	 	s	y	l	l	a	b	u	s	 	a	n	d	 	m	a	r	k	 	s	c	h	e	m	e	,	 	r	e	f	e	r	r	i	n	g	 	t	o	 	y	o	u	r	 	T	e	a	m	 	L	e	a	d	e	r	 	a	s	 	a	p	p	r	o	p	r	i	a	t	e
	m	a	r	k	s	 	a	r	e	 	a	w	a	r	d	e	d	 	w	h	e	n	 	c	a	n	d	i	d	a	t	e	s	 	c	l	e	a	r	l	y	 	d	e	m	o	n	s	t	r	a	t	e	 	w	h	a	t	 	t	h	e	y	 	k	n	o	w	 	a	n	d	 	c	a	n	 	d	o
	
	m	a	r	k	s	 	a	r	e	 	n	o	t	 	d	e	d	u	c	t	e	d	 	f	o	r	 	e	r	r	o	r	s
	
	m	a	r	k	s	 	a	r	e	 	n	o	t	 	d	e	d	u	c	t	e	d	 	f	o	r	 	o	m	i	s	s	i	o	n	s
	
	a	n	s	w	e	r	s	 	s	h	o	u	l	d	 	o	n	l	y	 	b	e	 	j	u	d	g	e	d	 	o	n	 	t	h	e	 	q	u	a	l	i	t	y	 	o	f	 	s	p	e	l	l	i	n	g	,	 	p	u	n	c	t	u	a	t	i	o	n	 	a	n	d	 	g	r	a	m	m	a	r	 	w	h	e	n	 	t	h	e	s	e	 	f	e	a	t	u	r	e	s	 	a	r	e	 	s	p	e	c	i	f	i	c	a	l	l	y	 	a	s	s	e	s	s	e	d	 	b	y	 	t	h	e
	
	q	u	e	s	t	i	o	n	 	a	s	 	i	n	d	i	c	a	t	e	d	 	b	y	 	t	h	e	 	m	a	r	k	 	s	c	h	e	m	e	.	 	T	h	e	 	m	e	a	n	i	n	g	,	 	h	o	w	e	v	e	r	,	 	s	h	o	u	l	d	 	b	e	 	u	n	a	m	b	i	g	u	o	u	s	.
R
	G	E	N	E	R	I	C	 	M	A	R	K	I	N	G	 	P	R	I	N	C	I	P	L	E	 	4	:
	u	l	e	s	 	m	u	s	t	 	b	e	 	a	p	p	l	i	e	d	 	c	o	n	s	i	s	t	e	n	t	l	y	,	 	e	.	g	.	 	i	n	 	s	i	t	u	a	t	i	o	n	s	 	w	h	e	r	e	 	c	a	n	d	i	d	a	t	e	s	 	h	a	v	e	 	n	o	t	 	f	o	l	l	o	w	e	d	 	i	n	s	t	r	u	c	t	i	o	n	s	 	o	r	 	i	n	 	t	h	e	 	a	p	p	l	i	c	a	t	i	o	n	 	o	f	 	g	e	n	e	r	i	c	 	l	e	v	e	l
	d	e	s	c	r	i	p	t	o	r	s	.


Instruction: Solve this question, explain in multiple styles, classify type, and generate a similar question.

Input:
1
	E	x	a	m	i	n	e	r	s	 	s	h	o	u	l	d	 	c	o	n	s	i	d	e	r	 	t	h	e	 	c	o	n	t	e	x	t	 	a	n	d	 	s	c	i	e	n	t	i	f	i	c	 	u	s	e	 	o	f	 	a	n	y	 	k	e	y	w	o	r	d	s	 	w	h	e	n	 	a	w	a	r	d	i	n	g	 	m	a	r	k	s	.	 	A	l	t	h	o	u	g	h	 	k	e	y	w	o	r	d	s	 	m	a	y	 	b	e	 	p	r	e	s	e	n	t	,	 	m	a	r	k	s
	s	h	o	u	l	d	 	n	o	t	 	b	e	 	a	w	a	r	d	e	d	 	i	f	 	t	h	e	 	k	e	y	w	o	r	d	s	 	a	r	e	 	u	s	e	d	 	i	n	c	o	r	r	e	c	t	l	y	.
2
	T	h	e	 	e	x	a	m	i	n	e	r	 	s	h	o	u	l	d	 	n	o	t	 	c	h	o	o	s	e	 	b	e	t	w	e	e	n	 	c	o	n	t	r	a	d	i	c	t	o	r	y	 	s	t	a	t	e	m	e	n	t	s	 	g	i	v	e	n	 	i	n	 	t	h	e	 	s	a	m	e	 	q	u	e	s	t	i	o	n	 	p	a	r	t	,	 	a	n	d	 	c	r	e	d	i	t	 	s	h	o	u	l	d	 	n	o	t	 	b	e	 	a	w	a	r	d	e	d	 	f	o	r
	a	n	y	 	c	o	r	r	e	c	t	 	s	t	a	t	e	m	e	n	t	 	t	h	a	t	 	i	s	 	c	o	n	t	r	a	d	i	c	t	e	d	 	w	i	t	h	i	n	 	t	h	e	 	s	a	m	e	 	q	u	e	s	t	i	o	n	 	p	a	r	t	.	 	W	r	o	n	g	 	s	c	i	e	n	c	e	 	t	h	a	t	 	i	s	 	i	r	r	e	l	e	v	a	n	t	 	t	o	 	t	h	e	 	q	u	e	s	t	i	o	n	 	s	h	o	u	l	d	 	b	e	 	i	g	n	o	r	e	d	.
3
	A	l	t	h	o	u	g	h	 	s	p	e	l	l	i	n	g	s	 	d	o	 	n	o	t	 	h	a	v	e	 	t	o	 	b	e	 	c	o	r	r	e	c	t	,	 	s	p	e	l	l	i	n	g	s	 	o	f	 	s	y	l	l	a	b	u	s	 	t	e	r	m	s	 	m	u	s	t	 	a	l	l	o	w	 	f	o	r	 	c	l	e	a	r	 	a	n	d	 	u	n	a	m	b	i	g	u	o	u	s	 	s	e	p	a	r	a	t	i	o	n	 	f	r	o	m	 	o	t	h	e	r
	s	y	l	l	a	b	u	s	 	t	e	r	m	s	 	w	i	t	h	 	w	h	i	c	h	 	t	h	e	y	 	m	a	y	 	b	e	 	c	o	n	f	u	s	e	d	 	(	e	.	g	.	 	e	t	h	a	n	e	 	/	 	e	t	h	e	n	e	,	 	g	l	u	c	a	g	o	n	 	/	 	g	l	y	c	o	g	e	n	,	 	r	e	f	r	a	c	t	i	o	n	 	/	 	r	e	f	l	e	c	t	i	o	n	)	.
4
	T	h	e	 	e	r	r	o	r	 	c	a	r	r	i	e	d	 	f	o	r	w	a	r	d	 	(	e	c	f	)	 	p	r	i	n	c	i	p	l	e	 	s	h	o	u	l	d	 	b	e	 	a	p	p	l	i	e	d	,	 	w	h	e	r	e	 	a	p	p	r	o	p	r	i	a	t	e	.	 	I	f	 	a	n	 	i	n	c	o	r	r	e	c	t	 	a	n	s	w	e	r	 	i	s	 	s	u	b	s	e	q	u	e	n	t	l	y	 	u	s	e	d	 	i	n	 	a	 	s	c	i	e	n	t	i	f	i	c	a	l	l	y
	c	o	r	r	e	c	t	 	w	a	y	,	 	t	h	e	 	c	a	n	d	i	d	a	t	e	 	s	h	o	u	l	d	 	b	e	 	a	w	a	r	d	e	d	 	t	h	e	s	e	 	s	u	b	s	e	q	u	e	n	t	 	m	a	r	k	i	n	g	 	p	o	i	n	t	s	.	 	F	u	r	t	h	e	r	 	g	u	i	d	a	n	c	e	 	w	i	l	l	 	b	e	 	i	n	c	l	u	d	e	d	 	i	n	 	t	h	e	 	m	a	r	k	 	s	c	h	e	m	e
	w	h	e	r	e	 	n	e	c	e	s	s	a	r	y	 	a	n	d	 	a	n	y	 	e	x	c	e	p	t	i	o	n	s	 	t	o	 	t	h	i	s	 	g	e	n	e	r	a	l	 	p	r	i	n	c	i	p	l	e	 	w	i	l	l	 	b	e	 	n	o	t	e	d	.
5
	‘	L	i	s	t	 	r	u	l	e	’	 	g	u	i	d	a	n	c	e

	F	o	r	 	q	u	e	s	t	i	o	n	s	 	t	h	a	t	 	r	e	q	u	i	r	e	 	n	 	r	e	s	p	o	n	s	e	s	 	(	e	.	g	.	 	S	t	a	t	e	 	t	w	o	 	r	e	a	s	o	n	s	 	…	)	:

	T	h	e	 	r	e	s	p	o	n	s	e	 	s	h	o	u	l	d	 	b	e	 	r	e	a	d	 	a	s	 	c	o	n	t	i	n	u	o	u	s	 	p	r	o	s	e	,	 	e	v	e	n	 	w	h	e	n	 	n	u	m	b	e	r	e	d	 	a	n	s	w	e	r	 	s	p	a	c	e	s	 	a	r	e	 	p	r	o	v	i	d	e	d	.
	
	A	n	y	 	r	e	s	p	o	n	s	e	 	m	a	r	k	e	d	 	i	g	n	o	r	e	 	i	n	 	t	h	e	 	m	a	r	k	 	s	c	h	e	m	e	 	s	h	o	u	l	d	 	n	o	t	 	c	o	u	n	t	 	t	o	w	a	r	d	s	 	n	.
	
	I	n	c	o	r	r	e	c	t	 	r	e	s	p	o	n	s	e	s	 	s	h	o	u	l	d	 	n	o	t	 	b	e	 	a	w	a	r	d	e	d	 	c	r	e	d	i	t	 	b	u	t	 	w	i	l	l	 	s	t	i	l	l	 	c	o	u	n	t	 	t	o	w	a	r	d	s	 	n	.
	
	R	e	a	d	 	t	h	e	 	e	n	t	i	r	e	 	r	e	s	p	o	n	s	e	 	t	o	 	c	h	e	c	k	 	f	o	r	 	a	n	y	 	r	e	s	p	o	n	s	e	s	 	t	h	a	t	 	c	o	n	t	r	a	d	i	c	t	 	t	h	o	s	e	 	t	h	a	t	 	w	o	u	l	d	 	o	t	h	e	r	w	i	s	e	 	b	e	 	c	r	e	d	i	t	e	d	.	 	C	r	e	d	i	t	 	s	h	o	u	l	d	 	n	o	t	 	b	e
	
	a	w	a	r	d	e	d	 	f	o	r	 	a	n	y	 	r	e	s	p	o	n	s	e	s	 	t	h	a	t	 	a	r	e	 	c	o	n	t	r	a	d	i	c	t	e	d	 	w	i	t	h	i	n	 	t	h	e	 	r	e	s	t	 	o	f	 	t	h	e	 	r	e	s	p	o	n	s	e	.	 	W	h	e	r	e	 	t	w	o	 	r	e	s	p	o	n	s	e	s	 	c	o	n	t	r	a	d	i	c	t	 	o	n	e	 	a	n	o	t	h	e	r	,	 	t	h	i	s
	s	h	o	u	l	d	 	b	e	 	t	r	e	a	t	e	d	 	a	s	 	a	 	s	i	n	g	l	e	 	i	n	c	o	r	r	e	c	t	 	r	e	s	p	o	n	s	e	.
	N	o	n	-	c	o	n	t	r	a	d	i	c	t	o	r	y	 	r	e	s	p	o	n	s	e	s	 	a	f	t	e	r	 	t	h	e	 	f	i	r	s	t	 	n	 	r	e	s	p	o	n	s	e	s	 	m	a	y	 	b	e	 	i	g	n	o	r	e	d	 	e	v	e	n	 	i	f	 	t	h	e	y	 	i	n	c	l	u	d	e	 	i	n	c	o	r	r	e	c	t	 	s	c	i	e	n	c	e	.
	


Instruction: Solve this question, explain in multiple styles, classify type, and generate a similar question.

Input:
6
	C	a	l	c	u	l	a	t	i	o	n	 	s	p	e	c	i	f	i	c	 	g	u	i	d	a	n	c	e

	C	o	r	r	e	c	t	 	a	n	s	w	e	r	s	 	t	o	 	c	a	l	c	u	l	a	t	i	o	n	s	 	s	h	o	u	l	d	 	b	e	 	g	i	v	e	n	 	f	u	l	l	 	c	r	e	d	i	t	 	e	v	e	n	 	i	f	 	t	h	e	r	e	 	i	s	 	n	o	 	w	o	r	k	i	n	g	 	o	r	 	i	n	c	o	r	r	e	c	t	 	w	o	r	k	i	n	g	,	 	u	n	l	e	s	s	 	t	h	e	 	q	u	e	s	t	i	o	n	 	s	t	a	t	e	s	 	‘	s	h	o	w
	y	o	u	r	 	w	o	r	k	i	n	g	’	.

	F	o	r	 	q	u	e	s	t	i	o	n	s	 	i	n	 	w	h	i	c	h	 	t	h	e	 	n	u	m	b	e	r	 	o	f	 	s	i	g	n	i	f	i	c	a	n	t	 	f	i	g	u	r	e	s	 	r	e	q	u	i	r	e	d	 	i	s	 	n	o	t	 	s	t	a	t	e	d	,	 	c	r	e	d	i	t	 	s	h	o	u	l	d	 	b	e	 	a	w	a	r	d	e	d	 	f	o	r	 	c	o	r	r	e	c	t	 	a	n	s	w	e	r	s	 	w	h	e	n	 	r	o	u	n	d	e	d
	b	y	 	t	h	e	 	e	x	a	m	i	n	e	r	 	t	o	 	t	h	e	 	n	u	m	b	e	r	 	o	f	 	s	i	g	n	i	f	i	c	a	n	t	 	f	i	g	u	r	e	s	 	g	i	v	e	n	 	i	n	 	t	h	e	 	m	a	r	k	 	s	c	h	e	m	e	.	 	T	h	i	s	 	m	a	y	 	n	o	t	 	a	p	p	l	y	 	t	o	 	m	e	a	s	u	r	e	d	 	v	a	l	u	e	s	.

	F	o	r	 	a	n	s	w	e	r	s	 	g	i	v	e	n	 	i	n	 	s	t	a	n	d	a	r	d	 	f	o	r	m	 	(	e	.	g	.	 	a	 		 	1	0	n	)	 	i	n	 	w	h	i	c	h	 	t	h	e	 	c	o	n	v	e	n	t	i	o	n	 	o	f	 	r	e	s	t	r	i	c	t	i	n	g	 	t	h	e	 	v	a	l	u	e	 	o	f	 	t	h	e	 	c	o	e	f	f	i	c	i	e	n	t	 	(	a	)	 	t	o	 	a	 	v	a	l	u	e	 	b	e	t	w	e	e	n	 	1
	a	n	d	 	1	0	 	i	s	 	n	o	t	 	f	o	l	l	o	w	e	d	,	 	c	r	e	d	i	t	 	m	a	y	 	s	t	i	l	l	 	b	e	 	a	w	a	r	d	e	d	 	i	f	 	t	h	e	 	a	n	s	w	e	r	 	c	a	n	 	b	e	 	c	o	n	v	e	r	t	e	d	 	t	o	 	t	h	e	 	a	n	s	w	e	r	 	g	i	v	e	n	 	i	n	 	t	h	e	 	m	a	r	k	 	s	c	h	e	m	e	.

	U	n	l	e	s	s	 	a	 	s	e	p	a	r	a	t	e	 	m	a	r	k	 	i	s	 	g	i	v	e	n	 	f	o	r	 	a	 	u	n	i	t	,	 	a	 	m	i	s	s	i	n	g	 	o	r	 	i	n	c	o	r	r	e	c	t	 	u	n	i	t	 	w	i	l	l	 	n	o	r	m	a	l	l	y	 	m	e	a	n	 	t	h	a	t	 	t	h	e	 	f	i	n	a	l	 	c	a	l	c	u	l	a	t	i	o	n	 	m	a	r	k	 	i	s	 	n	o	t	 	a	w	a	r	d	e	d	.
	E	x	c	e	p	t	i	o	n	s	 	t	o	 	t	h	i	s	 	g	e	n	e	r	a	l	 	p	r	i	n	c	i	p	l	e	 	w	i	l	l	 	b	e	 	n	o	t	e	d	 	i	n	 	t	h	e	 	m	a	r	k	 	s	c	h	e	m	e	.
7
	G	u	i	d	a	n	c	e	 	f	o	r	 	c	h	e	m	i	c	a	l	 	e	q	u	a	t	i	o	n	s

	M	u	l	t	i	p	l	e	s	 	/	 	f	r	a	c	t	i	o	n	s	 	o	f	 	c	o	e	f	f	i	c	i	e	n	t	s	 	u	s	e	d	 	i	n	 	c	h	e	m	i	c	a	l	 	e	q	u	a	t	i	o	n	s	 	a	r	e	 	a	c	c	e	p	t	a	b	l	e	 	u	n	l	e	s	s	 	s	t	a	t	e	d	 	o	t	h	e	r	w	i	s	e	 	i	n	 	t	h	e	 	m	a	r	k	 	s	c	h	e	m	e	.

	S	t	a	t	e	 	s	y	m	b	o	l	s	 	g	i	v	e	n	 	i	n	 	a	n	 	e	q	u	a	t	i	o	n	 	s	h	o	u	l	d	 	b	e	 	i	g	n	o	r	e	d	 	u	n	l	e	s	s	 	a	s	k	e	d	 	f	o	r	 	i	n	 	t	h	e	 	q	u	e	s	t	i	o	n	 	o	r	 	s	t	a	t	e	d	 	o	t	h	e	r	w	i	s	e	 	i	n	 	t	h	e	 	m	a	r	k	 	s	c	h	e	m	e	.


Instruction: Solve this question, explain in multiple styles, classify type, and generate a similar question.

Input:
B	 	m	a	r	k	s
T	h	e	s	e	 	a	r	e	 	i	n	d	e	p	e	n	d	e	n	t	 	m	a	r	k	s	,	 	w	h	i	c	h	 	d	o	 	n	o	t	 	d	e	p	e	n	d	 	o	n	 	o	t	h	e	r	 	m	a	r	k	s	.	 	F	o	r	 	a	 	B	 	m	a	r	k	 	t	o	 	b	e	 	a	w	a	r	d	e	d	,	 	t	h	e	 	p	o	i	n	t	 	t	o	 	w	h	i	c	h	 	i	t	 	r	e	f	e	r	s	 	m	u	s	t	 	b	e
	s	e	e	n	 	s	p	e	c	i	f	i	c	a	l	l	y	 	i	n	 	t	h	e	 	c	a	n	d	i	d	a	t	e	’	s	 	a	n	s	w	e	r	.
M	 	m	a	r	k	s
T	h	e	s	e	 	a	r	e	 	m	e	t	h	o	d	 	m	a	r	k	s	 	u	p	o	n	 	w	h	i	c	h	 	A	 	m	a	r	k	s	 	l	a	t	e	r	 	d	e	p	e	n	d	.	 	F	o	r	 	a	n	 	M	 	m	a	r	k	 	t	o	 	b	e	 	a	w	a	r	d	e	d	,	 	t	h	e	 	p	o	i	n	t	 	t	o	 	w	h	i	c	h	 	i	t	 	r	e	f	e	r	s	 	m	u	s	t	 	b	e	 	s	e	e	n
	s	p	e	c	i	f	i	c	a	l	l	y	 	i	n	 	t	h	e	 	c	a	n	d	i	d	a	t	e	’	s	 	a	n	s	w	e	r	.	 	I	f	 	a	 	c	a	n	d	i	d	a	t	e	 	i	s	 	n	o	t	 	a	w	a	r	d	e	d	 	a	n	 	M	 	m	a	r	k	,	 	t	h	e	n	 	t	h	e	 	l	a	t	e	r	 	A	 	m	a	r	k	 	c	a	n	n	o	t	 	b	e	 	a	w	a	r	d	e	d	 	e	i	t	h	e	r	.
C	 	m	a	r	k	s
T	h	e	s	e	 	a	r	e	 	c	o	m	p	e	n	s	a	t	o	r	y	 	m	a	r	k	s	 	w	h	i	c	h	 	c	a	n	 	b	e	 	a	w	a	r	d	e	d	 	e	v	e	n	 	i	f	 	t	h	e	 	p	o	i	n	t	s	 	t	o	 	w	h	i	c	h	 	t	h	e	y	 	r	e	f	e	r	 	a	r	e	 	n	o	t	 	w	r	i	t	t	e	n	 	d	o	w	n	 	b	y	 	t	h	e	 	c	a	n	d	i	d	a	t	e	,
	p	r	o	v	i	d	i	n	g	 	s	u	b	s	e	q	u	e	n	t	 	w	o	r	k	i	n	g	 	g	i	v	e	s	 	e	v	i	d	e	n	c	e	 	t	h	a	t	 	t	h	e	y	 	m	u	s	t	 	h	a	v	e	 	k	n	o	w	n	 	t	h	e	m	.	 	F	o	r	 	e	x	a	m	p	l	e	,	 	i	f	 	a	n	 	e	q	u	a	t	i	o	n	 	c	a	r	r	i	e	s	 	a	 	C	 	m	a	r	k	 	a	n	d	 	t	h	e
	c	a	n	d	i	d	a	t	e	 	d	o	e	s	 	n	o	t	 	w	r	i	t	e	 	d	o	w	n	 	t	h	e	 	a	c	t	u	a	l	 	e	q	u	a	t	i	o	n	 	b	u	t	 	d	o	e	s	 	c	o	r	r	e	c	t	 	w	o	r	k	i	n	g	 	w	h	i	c	h	 	s	h	o	w	s	 	t	h	e	 	c	a	n	d	i	d	a	t	e	 	k	n	e	w	 	t	h	e	 	e	q	u	a	t	i	o	n	,	 	t	h	e	n	 	t	h	e
	C	 	m	a	r	k	 	i	s	 	a	w	a	r	d	e	d	.
	I	f	 	a	 	c	o	r	r	e	c	t	 	a	n	s	w	e	r	 	i	s	 	g	i	v	e	n	 	t	o	 	a	 	n	u	m	e	r	i	c	a	l	 	q	u	e	s	t	i	o	n	,	 	a	l	l	 	o	f	 	t	h	e	 	p	r	e	c	e	d	i	n	g	 	C	 	m	a	r	k	s	 	a	r	e	 	a	w	a	r	d	e	d	 	a	u	t	o	m	a	t	i	c	a	l	l	y	.	 	 	I	t	 	i	s	 	o	n	l	y	 	n	e	c	e	s	s	a	r	y	 	t	o
	c	o	n	s	i	d	e	r	 	e	a	c	h	 	o	f	 	t	h	e	 	C	 	m	a	r	k	s	 	i	n	 	t	u	r	n	 	w	h	e	n	 	t	h	e	 	n	u	m	e	r	i	c	a	l	 	a	n	s	w	e	r	 	i	s	 	n	o	t	 	c	o	r	r	e	c	t	.
A	 	m	a	r	k	s
T	h	e	s	e	 	a	r	e	 	a	n	s	w	e	r	 	m	a	r	k	s	.	 	 	T	h	e	y	 	m	a	y	 	d	e	p	e	n	d	 	o	n	 	a	n	 	M	 	m	a	r	k	 	o	r	 	a	l	l	o	w	 	a	 	C	 	m	a	r	k	 	t	o	 	b	e	 	a	w	a	r	d	e	d	 	b	y	 	i	m	p	l	i	c	a	t	i	o	n	.


Instruction: Solve this question, explain in multiple styles, classify type, and generate a similar question.

Input:
Q	u	e	s	t	i	o	n
A	n	s	w	e	r
M	a	r	k	s
1	(	a	)
w	o	r	k	 	d	o	n	e	 	p	e	r	 	u	n	i	t	 	m	a	s	s
B	1

w	o	r	k	 	d	o	n	e	 	m	o	v	i	n	g	 	m	a	s	s	 	f	r	o	m	 	i	n	f	i	n	i	t	y	 	(	t	o	 	t	h	e	 	p	o	i	n	t	)
B	1
1	(	b	)	(	i	)
p	o	t	e	n	t	i	a	l	 	i	s	 	z	e	r	o	 	a	t	 	i	n	f	i	n	i	t	y
B	1

w	o	r	k	 	i	s	 	d	o	n	e	 	b	y	 	(	t	w	o	)	 	m	a	s	s	e	s	 	i	n	 	m	o	v	i	n	g	 	t	h	e	m	 	c	l	o	s	e	r	 	t	o	g	e	t	h	e	r
	o	r
	w	o	r	k	 	i	s	 	d	o	n	e	 	o	n	 	(	t	w	o	)	 	m	a	s	s	e	s	 	i	n	 	m	o	v	i	n	g	 	t	h	e	m	 	a	p	a	r	t
B	1
1	(	b	)	(	i	i	)
m	a	g	n	i	t	u	d	e	 	o	f	 	p	o	t	e	n	t	i	a	l	 	s	h	o	w	n	 	a	s	 	4	
B	1

p	o	t	e	n	t	i	a	l	 	n	e	g	a	t	i	v	e	 	a	n	d	 	s	h	o	w	n	 	a	s	 	a	 	m	u	l	t	i	p	l	e	 	o	f	 	–		 	 	[	p	o	t	e	n	t	i	a	l	 	=	 	–	4		 	i	f	 	f	u	l	l	y	 	c	o	r	r	e	c	t	]
B	1
1	(	b	)	(	i	i	i	)
f	i	e	l	d	 	s	t	r	e	n	g	t	h	 	a	t	 	X	:	 	 		 	/	 	4	R
A	1

f	i	e	l	d	 	s	t	r	e	n	g	t	h	 	a	t	 	Y	:
	4		 	/	 	R
A	1

p	o	t	e	n	t	i	a	l	 	e	n	e	r	g	y	 	a	t	 	X	:	 	 	–	M	
A	1

p	o	t	e	n	t	i	a	l	 	e	n	e	r	g	y	 	a	t	 	Y	:	 	–	8	M	
A	1


Instruction: Solve this question, explain in multiple styles, classify type, and generate a similar question.

Input:
Q	u	e	s	t	i	o	n
A	n	s	w	e	r
M	a	r	k	s
2	(	a	)	(	i	)
0	 	K
B	1
2	(	a	)	(	i	i	)
(	m	e	a	s	u	r	e	m	e	n	t	)	 	d	e	p	e	n	d	s	 	o	n	 	p	r	o	p	e	r	t	i	e	s	 	o	f	 	t	h	e	 	l	i	q	u	i	d
B	1
2	(	b	)	(	i	)
r	e	s	i	s	t	i	v	i	t	y	 	v	a	r	i	e	s	 	w	i	t	h	 	t	e	m	p	e	r	a	t	u	r	e
	
	v	a	r	i	a	t	i	o	n	 	w	i	t	h	 	t	e	m	p	e	r	a	t	u	r	e	 	i	s	 	l	i	n	e	a	r
	
	u	n	i	q	u	e	 	v	a	l	u	e	 	o	f	 	r	e	s	i	s	t	i	v	i	t	y	 	f	o	r	 	e	a	c	h	 	(	d	i	f	f	e	r	e	n	t	 	v	a	l	u	e	 	o	f	)	 	t	e	m	p	e	r	a	t	u	r	e
	
	A	n	y	 	t	w	o	 	p	o	i	n	t	s	,	 	1	 	m	a	r	k	 	e	a	c	h
B	2
2	(	b	)	(	i	i	)
t	h	e	r	m	o	m	e	t	e	r	 	h	a	s	 	h	i	g	h	 	h	e	a	t	 	c	a	p	a	c	i	t	y	/	s	p	e	c	i	f	i	c	 	h	e	a	t	 	c	a	p	a	c	i	t	y
	o	r
	e	n	e	r	g	y	 	t	r	a	n	s	f	e	r	 	n	e	e	d	e	d	 	f	o	r	 	t	h	e	r	m	o	m	e	t	e	r	 	t	o	 	r	e	a	c	h	 	c	o	r	r	e	c	t	 	t	e	m	p	e	r	a	t	u	r	e
	o	r
	t	h	e	r	m	o	m	e	t	e	r	 	t	a	k	e	s	 	t	i	m	e	 	t	o	 	r	e	a	c	h	 	t	h	e	 	c	o	r	r	e	c	t	 	t	e	m	p	e	r	a	t	u	r	e
B	1
2	(	b	)	(	i	i	i	)
t	h	e	r	m	o	c	o	u	p	l	e
B	1
2	(	c	)
(	v	a	r	i	a	t	i	o	n	 	i	s	)	 	i	n	v	e	r	s	e
	o	r
	(	v	a	r	i	a	t	i	o	n	 	i	s	)	 	n	o	n	-	l	i	n	e	a	r
B	1


Instruction: Solve this question, explain in multiple styles, classify type, and generate a similar question.

Input:
Q	u	e	s	t	i	o	n
A	n	s	w	e	r
M	a	r	k	s
3	(	a	)	(	i	)
g	a	s	 	f	o	r	 	w	h	i	c	h	 	p	V	 		 	T
M	1

w	h	e	r	e	 	T	 	i	s	 	t	h	e	r	m	o	d	y	n	a	m	i	c	 	t	e	m	p	e	r	a	t	u	r	e
A	1
3	(	a	)	(	i	i	)
n	o	 	i	n	t	e	r	m	o	l	e	c	u	l	a	r	 	f	o	r	c	e	s
B	1

(	s	o	)	 	p	o	t	e	n	t	i	a	l	 	e	n	e	r	g	y	 	i	s	 	z	e	r	o
B	1
3	(	b	)	(	i	)
p	V	 	=	 	N	k	T
C	1

N	 	 	=	 	(	2	.	0	 		 	1	0	5	 		 	0	.	2	6	)	 	/	 	(	1	.	3	8	 		 	1	0	–	2	3	 		 	2	9	0	)

	=	 	1	.	3	 		 	1	0	2	5
A	1
3	(	b	)	(	i	i	)
E	K	 	 	=	 	(	3	/	2	)	 	k	T
C	1

E	K	 	 	 	=	 	(	3	/	2	)	 		 	1	.	3	8	 		 	1	0	–	2	3	 		 	2	9	0
	=	 	6	.	0	 		 	1	0	–	2	1	 	J
A	1
3	(	b	)	(	i	i	i	)
i	n	t	e	r	n	a	l	 	e	n	e	r	g	y	 	=	 	t	o	t	a	l	 	K	E	 	+	 	P	E	 	o	f	 	m	o	l	e	c	u	l	e	s
	o	r
	P	E	 	=	 	0	 	s	o	 	i	n	t	e	r	n	a	l	 	e	n	e	r	g	y	 	=	 	t	o	t	a	l	 	K	E	 	o	f	 	m	o	l	e	c	u	l	e	s
B	1

i	n	t	e	r	n	a	l	 	e	n	e	r	g	y	 	=	 	1	.	3	 		 	1	0	2	5	 		 	6	.	0	 		 	1	0	–	2	1

	=	 	7	.	8	 		 	1	0	4	 	J
A	1
3	(	c	)
s	t	r	a	i	g	h	t	 	l	i	n	e	 	w	i	t	h	 	p	o	s	i	t	i	v	e	 	g	r	a	d	i	e	n	t
B	1

l	i	n	e	 	p	a	s	s	i	n	g	 	t	h	r	o	u	g	h	 	t	h	e	 	o	r	i	g	i	n
B	1


Instruction: Solve this question, explain in multiple styles, classify type, and generate a similar question.

Input:
Q	u	e	s	t	i	o	n
A	n	s	w	e	r
M	a	r	k	s
4	(	a	)
o	s	c	i	l	l	a	t	i	o	n	 	(	o	f	 	o	b	j	e	c	t	)	 	a	t	 	m	a	x	i	m	u	m	 	a	m	p	l	i	t	u	d	e
B	1

w	h	e	n	 	d	r	i	v	i	n	g	 	f	r	e	q	u	e	n	c	y	 	=	 	n	a	t	u	r	a	l	 	f	r	e	q	u	e	n	c	y	 	(	o	f	 	s	y	s	t	e	m	)
B	1
4	(	b	)	(	i	)
l	i	g	h	t	 	d	a	m	p	i	n	g
B	1
4	(	b	)	(	i	i	)
o	s	c	i	l	l	a	t	i	o	n	s	 	(	o	f	 	b	a	l	l	)	 	l	o	s	e	 	e	n	e	r	g	y
B	1

(	d	u	e	 	t	o	)	 	r	e	s	i	s	t	i	v	e	 	f	o	r	c	e	s	 	(	a	c	t	i	n	g	 	o	n	 	b	a	l	l	)
B	1
4	(	b	)	(	i	i	i	)
f	r	e	q	u	e	n	c	y	 	 	=	 	1	 	/	 	0	.	2	5

	=	 	4	.	0	 	H	z
A	1
4	(	c	)
c	u	r	v	e	 	s	h	o	w	i	n	g	 	a	 	m	a	x	i	m	u	m	 	a	m	p	l	i	t	u	d	e	 	a	t	 	a	 	s	i	n	g	l	e	 	n	o	n	-	z	e	r	o	 	f	r	e	q	u	e	n	c	y
B	1

s	i	n	g	l	e	 	m	a	x	i	m	u	m	 	a	m	p	l	i	t	u	d	e	 	s	h	o	w	n	 	a	t	 	4	.	0	 	H	z
B	1


Instruction: Solve this question, explain in multiple styles, classify type, and generate a similar question.

Input:
Q	u	e	s	t	i	o	n
A	n	s	w	e	r
M	a	r	k	s
5	(	a	)
f	o	r	c	e	 	p	e	r	 	u	n	i	t	 	c	h	a	r	g	e
B	1

f	o	r	c	e	 	o	n	 	p	o	s	i	t	i	v	e	 	c	h	a	r	g	e
B	1
5	(	b	)	(	i	)
f	o	u	r	 	s	t	r	a	i	g	h	t	 	v	e	r	t	i	c	a	l	 	p	a	r	a	l	l	e	l	 	l	i	n	e	s	,	 	a	p	p	r	o	x	i	m	a	t	e	l	y	 	e	v	e	n	l	y	 	s	p	a	c	e	d
B	1

a	r	r	o	w	s	 	d	o	w	n	w	a	r	d	s
B	1
5	(	b	)	(	i	i	)
E	 	 	=	 	V	 	/	 	d
C	1

E	 	 	=	 	4	3	0	 	/	 	0	.	0	6	7
	=	 	6	.	4	 		 	1	0	3	 	N	 	C	–	1
A	1
5	(	b	)	(	i	i	i	)
s	m	o	o	t	h	 	c	u	r	v	e	 	w	i	t	h	i	n	 	p	l	a	t	e	s	 	a	n	d	 	s	t	r	a	i	g	h	t	 	l	i	n	e	s	 	o	u	t	s	i	d	e	 	p	l	a	t	e	s
B	1

d	i	r	e	c	t	i	o	n	 	o	f	 	d	e	f	l	e	c	t	i	o	n	 	s	h	o	w	n	 	a	s	 	u	p	w	a	r	d	s
B	1
5	(	c	)	(	i	)
i	n	t	o	 	t	h	e	 	p	a	g	e
B	1
5	(	c	)	(	i	i	)
f	o	r	c	e	s	 	a	r	e	 	i	n	 	o	p	p	o	s	i	t	e	 	d	i	r	e	c	t	i	o	n	s
B	1

(	u	n	d	e	v	i	a	t	e	d	)	 	w	h	e	n	 	(	m	a	g	n	i	t	u	d	e	s	 	o	f	)	 	f	o	r	c	e	s	 	a	r	e	 	e	q	u	a	l
B	1
5	(	c	)	(	i	i	i	)
E	q	 	=	 	B	q	v
C	1

B	 	 	=	 	E	 	/	 	v	 	=	 	(	6	.	4	 		 	1	0	3	)	 	/	 	(	2	.	6	 		 	1	0	7	)
	=	 	2	.	5	 		 	1	0	–	4	 	T
A	1


Instruction: Solve this question, explain in multiple styles, classify type, and generate a similar question.

Input:
Q	u	e	s	t	i	o	n
A	n	s	w	e	r
M	a	r	k	s
6	(	a	)
p	.	d	.	 	a	c	r	o	s	s	 	c	a	p	a	c	i	t	o	r	 	p	r	o	p	o	r	t	i	o	n	a	l	 	t	o	 	c	h	a	r	g	e	 	o	n	 	c	a	p	a	c	i	t	o	r
	
	p	.	d	.	 	a	c	r	o	s	s	 	c	a	p	a	c	i	t	o	r	 	=	 	p	.	d	.	 	a	c	r	o	s	s	 	r	e	s	i	s	t	o	r
	
	c	u	r	r	e	n	t	 	i	n	 	r	e	s	i	s	t	o	r	 	p	r	o	p	o	r	t	i	o	n	a	l	 	t	o	 	p	.	d	.	 	a	c	r	o	s	s	 	r	e	s	i	s	t	o	r
	
	c	u	r	r	e	n	t	 	i	n	 	r	e	s	i	s	t	o	r	 	=	 	r	a	t	e	 	o	f	 	d	e	c	r	e	a	s	e	 	o	f	 	c	h	a	r	g	e	 	o	n	 	c	a	p	a	c	i	t	o	r
	
	A	n	y	 	t	w	o	 	p	o	i	n	t	s	,	 	1	 	m	a	r	k	 	e	a	c	h
B	2

c	h	a	r	g	e	 	p	r	o	p	o	r	t	i	o	n	a	l	 	t	o	 	c	u	r	r	e	n	t	 	s	o	 	r	a	t	e	 	o	f	 	d	e	c	r	e	a	s	e	 	o	f	 	c	u	r	r	e	n	t	 	d	e	c	r	e	a	s	e	s	 	a	s	 	c	u	r	r	e	n	t	 	d	e	c	r	e	a	s	e	s	 	(	t	h	e	r	e	f	o	r	e	 	e	x	p	o	n	e	n	t	i	a	l	 	s	h	a	p	e	)
B	1
6	(	b	)	(	i	)
R	 	 	=	 	V	 	/	 	I

	=	 	1	2	 	/	 	(	0	.	1	3	 		 	1	0	–	3	)
C	1

=	 	9	.	2	 		 	1	0	4	 	
A	1
6	(	b	)	(	i	i	)
c	o	r	r	e	c	t	 	r	e	a	d	-	o	f	f	 	o	f	 	a	t	 	l	e	a	s	t	 	o	n	e	 	p	a	i	r	 	o	f	 	v	a	l	u	e	s	 	f	o	r	 	I	 	a	n	d	 	t
C	1

o
	 	 	s
	a	t	t	e	m	p	t	e	d	 	r	e	a	d	-	o	f	f	 	o	f	 	t	 	w	h	e	n	 	I	 	=	 	0	.	0	4	8	 	m	A
	r
	u	b	s	t	i	t	u	t	i	o	n	 	o	f	 	a	 	c	o	r	r	e	c	t	 	p	a	i	r	 	o	f	 	v	a	l	u	e	s	 	o	f	 	I	 	a	n	d	 	t	 	i	n	t	o	 	I	 	=	 	0	.	1	3	 	e	x	p	 	(	–	 	t	 	/	 		)
C	1

=	 	4	.	3	 	s
	
A	1
6	(	c	)
=	 	R	C
	
C	1

C	 	 	=	 		 	/	 	R	 	=	 	4	.	3	 	/	 	(	9	.	2	 		 	1	0	4	)
	=	 	4	.	7	 		 	1	0	–	5	 	F
A	1


Instruction: Solve this question, explain in multiple styles, classify type, and generate a similar question.

Input:
Q	u	e	s	t	i	o	n
A	n	s	w	e	r
M	a	r	k	s
7	(	a	)
r	e	c	t	i	f	i	c	a	t	i	o	n	 	(	o	f	 	t	h	e	 	i	n	p	u	t	 	v	o	l	t	a	g	e	)
M	1

f	u	l	l	-	w	a	v	e
A	1
7	(	b	)	(	i	)
o
	 	 	m
	P	 	=	 	V	2	 	/	 	R
	r
	a	x	i	m	u	m	 	V	 	=	 	9	.	0	 	V
C	1

P	M	A	X	 	=	 	9	.	0	2	 	/	 	3	7	0	 	=	 	0	.	2	2	 	W
A	1
7	(	b	)	(	i	i	)
s	i	n	u	s	o	i	d	a	l	 	s	h	a	p	e	 	w	i	t	h	 	m	i	n	i	m	a	 	s	i	t	t	i	n	g	 	o	n	 	t	h	e	 	t	i	m	e	 	a	x	i	s
B	1

c	o	r	r	e	c	t	 	f	r	e	q	u	e	n	c	y	 	a	n	d	 	p	h	a	s	e	,	 	w	i	t	h	 	m	i	n	i	m	a	 	a	t	 	0	,	 	0	.	0	2	,	 	0	.	0	4	,	 	0	.	0	6	 	a	n	d	 	0	.	0	8	 	s	 	a	n	d	 	m	a	x	i	m	a	 	a	t	 	0	.	0	1	,	 	0	.	0	3	,	 	0	.	0	5	 	a	n	d	 	0	.	0	7	 	s
B	1

a	l	l	 	m	a	x	i	m	a	 	s	h	o	w	n	 	a	t	 	0	.	2	2	 	W
B	1
7	(	b	)	(	i	i	i	)
m	e	a	n	 	p	o	w	e	r	 	=	 	p	e	a	k	 	p	o	w	e	r	 	/	 	2	 	=	 	0	.	2	2	 	/	 	2
	=	 	0	.	1	1	 	W
A	1
7	(	c	)
p	o	w	e	r	–	t	i	m	e	 	g	r	a	p	h	 	i	s	 	i	d	e	n	t	i	c	a	l
B	1

(	s	o	)	 	m	e	a	n	 	p	o	w	e	r	s	 	a	r	e	 	e	q	u	a	l
B	1


Instruction: Solve this question, explain in multiple styles, classify type, and generate a similar question.

Input:
Q	u	e	s	t	i	o	n
A	n	s	w	e	r
M	a	r	k	s
8	(	a	)
p	a	c	k	e	t	 	/	 	q	u	a	n	t	u	m	 	o	f	 	e	n	e	r	g	y
M	1

o	f	 	e	l	e	c	t	r	o	m	a	g	n	e	t	i	c	 	r	a	d	i	a	t	i	o	n
A	1
8	(	b	)	(	i	)
e	l	e	c	t	r	o	n	(	s	)
B	1
8	(	b	)	(	i	i	)
X	 	l	a	b	e	l	l	e	d	 	–	 	a	n	d	 	Y	 	l	a	b	e	l	l	e	d	 	+
B	1
8	(	c	)	(	i	)
0	.	0	3	2	 	M	e	V
A	1
8	(	c	)	(	i	i	)
m	o	m	e	n	t	u	m	 	=	 	E	 	/	 	c
C	1

m	o	m	e	n	t	u	m	 	 	 	=	 	(	0	.	0	3	2	 	×	 	1	.	6	0	 		 	1	0	–	1	3	)	 	/	 	(	3	.	0	0	 		 	1	0	8	)

	=	 	1	.	7	 		 	1	0	–	2	3	 	N	 	s
A	1
8	(	c	)	(	i	i	i	)
E	 	=	 	h	f	 	 	a	n	d	 	 		 	=	 	c	 	/	 	f
C	1

=	 	h	c	 	/	 	E
	
	=	 	(	6	.	6	3	 		 	1	0	–	3	4	 	×	 	3	.	0	0	 		 	1	0	8	)	 	/	 	(	0	.	0	3	2	 		 	1	.	6	0	 	×	 	1	0	–	1	3	)
C	1


	 	=	 	3	.	9	 		 	1	0	–	1	1	 	m
A	1
8	(	d	)
d	i	s	c	u	s	s	i	o	n	 	o	f	 	b	o	n	e	 	a	n	d	 	s	o	f	t	 	t	i	s	s	u	e
B	1

d	i	s	c	u	s	s	i	o	n	 	o	f	 	d	i	f	f	e	r	e	n	t	 	a	t	t	e	n	u	a	t	i	o	n	 	(	c	o	e	f	f	i	c	i	e	n	t	s	)
	o	r
	d	i	s	c	u	s	s	i	o	n	 	d	i	f	f	e	r	e	n	c	e	s	 	i	n	 	p	e	n	e	t	r	a	t	i	o	n	 	/	 	t	r	a	n	s	m	i	s	s	i	o	n	 	/	 	a	b	s	o	r	p	t	i	o	n
B	1

t	r	a	n	s	m	i	t	t	e	d	 	i	n	t	e	n	s	i	t	i	e	s	 	(	b	y	 	b	o	n	e	 	a	n	d	 	t	i	s	s	u	e	)	 	a	r	e	 	v	e	r	y	 	d	i	f	f	e	r	e	n	t	 	(	l	e	a	d	i	n	g	 	t	o	 	g	o	o	d	 	c	o	n	t	r	a	s	t	 	i	m	a	g	e	s	)
B	1


Instruction: Solve this question, explain in multiple styles, classify type, and generate a similar question.

Input:
Q	u	e	s	t	i	o	n
A	n	s	w	e	r
M	a	r	k	s
9	(	a	)
t	i	m	e	 	f	o	r	 	a	c	t	i	v	i	t	y	 	(	o	f	 	s	a	m	p	l	e	)	 	t	o	 	h	a	l	v	e
B	1
9	(	b	)	(	i	)
a	c	t	i	v	i	t	y	 	(	o	f	 	X	 	a	t	 	t	i	m	e	 	t	)
B	1
9	(	b	)	(	i	i	)
Y	 	i	s	 	a	 	s	t	a	b	l	e	 	i	s	o	t	o	p	e
	
	t	o	t	a	l	 	n	u	m	b	e	r	 	o	f	 	n	u	c	l	e	i	 	i	s	 	c	o	n	s	t	a	n	t
	
	h	a	l	f	-	l	i	f	e	 	(	o	f	 	X	)	 	i	s	 	1	3	.	6	 	s
	
	d	e	c	a	y	 	c	o	n	s	t	a	n	t	 	(	o	f	 	X	)	 	i	s	 	0	.	0	5	1	 	s	–	1
	
	a	m	o	u	n	t	 	(	o	f	 	X	)	 	a	t	 	t	 	=	 	0	 	i	s	 	0	.	0	6	6	 	m	o	l
	
	
	a	c	t	i	v	i	t	y	 	(	o	f	 	X	)	 	a	t	 	t	 	=	 	0	 	i	s	 	2	.	0	 		 	1	0	2	1	 	B	q
	A	n	y	 	t	h	r	e	e	 	p	o	i	n	t	s	,	 	1	 	m	a	r	k	 	e	a	c	h
B	3
9	(	c	)
m	a	s	s	 	o	f	 	1	 	n	u	c	l	e	u	s	 	=	 	(	7	.	3	 		 	1	0	–	4	)	 	/	 	(	4	.	0	 		 	1	0	2	2	)
C	1

n	u	c	l	e	o	n	 	n	u	m	b	e	r	 	 	=	 	m	a	s	s	 	o	f	 	n	u	c	l	e	u	s	 	/	 	(	1	.	6	6	 		 	1	0	–	2	7	)
C	1

=	 	(	7	.	3	 		 	1	0	–	4	)	 	/	 	(	4	.	0	 	×	 	1	0	2	2	 		 	1	.	6	6	 	×	 	1	0	–	2	7	)

	=	 	1	1	 	a	n	d	 	g	i	v	e	n	 	a	s	 	a	n	 	i	n	t	e	g	e	r
A	1


Instruction: Solve this question, explain in multiple styles, classify type, and generate a similar question.

Input:
Q	u	e	s	t	i	o	n
A	n	s	w	e	r
M	a	r	k	s
1	0	(	a	)	(	i	)
t	o	t	a	l	 	p	o	w	e	r
B	1

p	o	w	e	r	 	r	a	d	i	a	t	e	d	 	(	b	y	 	t	h	e	 	s	t	a	r	)
B	1
1	0	(	a	)	(	i	i	)
s	t	a	n	d	a	r	d	 	c	a	n	d	l	e	 	h	a	s	 	k	n	o	w	n	 	l	u	m	i	n	o	s	i	t	y
B	1

r	a	d	i	a	n	t	 	f	l	u	x	 	i	n	t	e	n	s	i	t	y	 	m	e	a	s	u	r	e	d	 	b	y	 	o	b	s	e	r	v	e	r
B	1

(	d	i	s	t	a	n	c	e	 	c	a	l	c	u	l	a	t	e	d	 	u	s	i	n	g	)	 	F	 	=	 	L	 	/	 	4		d	2
B	1
1	0	(	b	)	(	i	)
l	u	m	i	n	o	s	i	t	y	 	 	=	 	4			 	r	2	T	4

	=	 	4		 		 	5	.	6	7	 		 	1	0	–	8	 		 	(	6	.	9	6	 		 	1	0	8	)	2	 	×	 	5	7	8	0	4
C	1

=	 	3	.	8	5	 	×	 	1	0	2	6	 	W
A	1
1	0	(	b	)	(	i	i	)

	M	A	X	T	 	=	 	c	o	n	s	t	a	n	t
C	1

t	e	m	p	e	r	a	t	u	r	e	 	 	=	 	(	5	7	8	0	 		 	5	0	1	)	 	/	 	6	2	4

	=	 	4	6	4	0	 	K
A	1


Instruction: Solve this question, explain in multiple styles, classify type, and generate a similar question.


Instruction: Solve this question, explain in multiple styles, classify type, and generate a similar question.


Instruction: Solve this question, explain in multiple styles, classify type, and generate a similar question.


Instruction: Solve this question, explain in multiple styles, classify type, and generate a similar question.


Instruction: Solve this question, explain in multiple styles, classify type, and generate a similar question.


Instruction: Solve this question, explain in multiple styles, classify type, and generate a similar question.


Instruction: Solve this question, explain in multiple styles, classify type, and generate a similar question.


Instruction: Solve this question, explain in multiple styles, classify type, and generate a similar question.


Instruction: Solve this question, explain in multiple styles, classify type, and generate a similar question.


Instruction: Solve this question, explain in multiple styles, classify type, and generate a similar question.


Instruction: Solve this question, explain in multiple styles, classify type, and generate a similar question.


Instruction: Solve this question, explain in multiple styles, classify type, and generate a similar question.