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AIEEE 2012 Solved Paper
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© examsnet.com
Question : 35
Total: 89
This question has Statement 1 and Statement 2 . Of the four choices given after the Statements, choose the one that best describes the two Statements.
If two springs
S
1
and
S
2
of force constants
k
1
and
k
2
, respectively, are stretched by the same force, it is found that more work is done on spring
S
1
than on spring
S
2
.
STATEMENT 1: If stretched by the same amount work done on
S
1
, Work done on
S
1
is more than
S
2
STATEMENT 2:
k
1
<
k
2
Statement 1 is false, Statement 2 is true
Statement 1 is true, Statement 2 is false
Statement 1 is true, Statement 2 is true, Statement 2 is the correct explanation for Statement 1
Statement 1 is true, Statement 2 is true, Statement 2 is not the correct explanation for Statement 1
Validate
Solution:
We know force
(
F
)
=
k
x
W
=
1
2
k
x
2
W
=
(
k
x
)
2
2
k
∴
W
=
F
2
2
k
[
as
F
=
k
x
]
When force is same then,
W
∝
1
k
Given that,
W
1
>
W
2
∴
k
1
<
k
2
Statement-2 is true.
For the same extension,
x
1
=
x
2
=
x
Work done on spring
S
1
is
W
1
=
1
2
k
1
x
1
2
=
1
2
k
1
x
2
Work done on spring
S
2
is
W
2
=
1
2
k
2
x
2
2
=
1
2
k
2
x
2
∴
W
1
W
2
=
k
1
k
2
As
k
1
<
k
2
then
W
1
<
W
2
So, Statement-1 is false.
© examsnet.com
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