First slide

Elastic Modulie

Question

The temperature of a wire of length 1 m and area of cross-section 1 cm² is increased from 0⁰C to 100⁰C. If the rod is not allowed to increase in length, the force required will be ( $α$ = 10^-5 /⁰C and Y = 10¹¹Nm^-2)

Moderate

A

10³ N
B

10⁴ N
C

10⁵ N
D

10⁹ N

Solution

Force developed, $F = Y A α (Δ θ)$
$= 10^{11} \times 10^{- 4} \times 10^{- 5} \times 100 = 10^{4} N$

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