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Question

Question: A copper wire of length 0.9 m and cross-sectional area 1.0 mm<sup>2</sup> is stretched by a load of ...

A copper wire of length 0.9 m and cross-sectional area 1.0 mm2 is stretched by a load of 1kg. Young's modulus for copper is 1.2 × 1011 N/m2 and g = 10m/s2. The extension in wire in mm is –

A

.013

B

.075

C

.11

D

.13

Answer

.075

Explanation

Solution

Y =FLAΔL\frac{FL}{A\Delta L}

\ DL =FLYA\frac{FL}{YA}=1×10×0.91.2×1011×106\frac{1 \times 10 \times 0.9}{1.2 \times 10^{11} \times 10^{- 6}}= .075 × 10–3 m

= .075 mm