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BITSAT 2016 Solved Question Paper
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© examsnet.com
Question : 6
Total: 150
Two wires are made of the same material and have the same volume. However wire 1 has cross-sectional area A and wire 2 has cross-sectional area 3A. If the length of wire 1 increases by Δx on applying force F, how much force is needed to stretch wire 2 by the same amount?
4 F
6 F
9 F
F
Validate
Solution:
As shown in the figure, the wires will have the sameYoung’s modulus (same material) and the length of the wire of area of cross-section 3A will be A/3 (same volume as wire 1).
For wire 1,
Y
=
F
A
∆
x
l
....(1)
For wire 2,
Y
=
F
I
3
A
∆
x
(
l
3
)
...(2)
From (i) and (ii)
F
A
×
l
∆
x
=
F
′
3
A
×
l
3
∆
x
⇒
F
′
=
9
F
© examsnet.com
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