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Question: The length of a metallic rod is 5m at 0°C and becomes 5.01 m, on heating upto 100°C. The linear expa...

The length of a metallic rod is 5m at 0°C and becomes 5.01 m, on heating upto 100°C. The linear expansion of the metal will be

A

2.33 × 10–5 /°C

B

6.0 × 10–5 /°C

C

4.0 × 10–5 /°C

D

2.0 × 10–5 /°C

Answer

2.0 × 10–5 /°C

Explanation

Solution

α=ΔLL0×Δθ=0.015×100=2×105/C\alpha = \frac{\Delta L}{L_{0} \times \Delta\theta} = \frac{0.01}{5 \times 100} = 2 \times 10^{- 5}/{^\circ}C