Heat and Thermal ExpansionHard

Question

Two wires are made of the same material and have the same volume. However wire 1 has crosssectional area A and wire-2 has cross-sectional area 3A. If the length of wire 1 increases by ᐃx on applying force F, how much force is needed to stretch wire 2 by the same amount?

Options

A.F
B.4F
C.6F
D.9F

Solution

A1 l1 = A2 l2 ⇒ l2 =
ᐃx1 =         .....(i)
ᐃx2 =         .....(ii)
Here ᐃx1 = ᐃx2

F2 = 3F1 × = 3F1 × 3 = 9F

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