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Physics-Temperature & Heat

NEET Physics Temperature & Heat MCQ Question

Type: MCQ-numerical-Hard-Class 11

If a rectangular sheet of a solid material with a length of 2 m and breadth of 1 m experiences a temperature increase of 100 K, and its coefficient of linear expansion αl\alpha_l is 10−5 K−110^{-5} \text{ K}^{-1}, what is the approximate increase in its area?

A

0.004 m²

B

0.002 m²

C

0.006 m²

D

0.008 m²

Correct Answer

Option A

Detailed Explanation

The increase in area ΔA=αlAΔT(2+αlΔT)\Delta A = \alpha_l A \Delta T (2 + \alpha_l \Delta T). Substituting αl=10−5 K−1,A=2×1=2 m2,ΔT=100 K\alpha_l = 10^{-5} \text{ K}^{-1}, A = 2 \times 1 = 2 \text{ m}^2, \Delta T = 100 \text{ K}, we find ΔA≈0.004 m2\Delta A \approx 0.004 \text{ m}^2.

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