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VITEEE 2021 Solved Paper
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Section:
Physics
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© examsnet.com
Question : 2
Total: 80
Two wires A and B are of the same material. Their lengths are in the ratio of
1
:
2
and the diameter are in the ratio
2
:
1
. If they are pulled by the same force, then increase in length will be in the ratio of
2
:
1
1
:
4
1
:
8
8
:
1
Validate
Solution:
We know that Young's modulus
Y
=
F
π
r
2
×
L
l
Since Y, F are same for both the wires, we have,
1
r
1
2
L
1
l
1
=
1
r
2
2
L
2
l
2
or,
l
1
l
2
=
r
2
2
×
L
1
r
1
2
×
L
2
=
(
D
2
∕
2
)
2
×
L
1
(
D
1
∕
2
)
2
×
L
2
or,
l
1
l
2
=
D
2
2
×
L
1
D
1
2
×
L
2
=
D
2
2
(
2
D
2
)
2
×
L
2
2
L
2
=
1
8
So,
l
1
:
l
2
=
1
:
8
© examsnet.com
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