Physics-Temperature & Heat

NEET Physics Temperature & Heat MCQ Question

Type: MCQ-numerical-Medium-Class 11

If a rectangular sheet of solid material with a linear expansivity αl=105 K1\alpha_l = 10^{-5} \text{ K}^{-1} experiences a temperature increase of ΔT=50 K\Delta T = 50 \text{ K}, what is the approximate increase in its area given that its initial area is 2 m22 \text{ m}^2?

A

0.002 m²

B

0.004 m²

C

0.001 m²

D

0.005 m²

Correct Answer

Option B

Detailed Explanation

Using ΔA=αlAΔT(2+αlΔT)\Delta A = \alpha_l A \Delta T (2 + \alpha_l \Delta T), and given αl=105 K1\alpha_l = 10^{-5} \text{ K}^{-1}, A=2 m2A = 2 \text{ m}^2, and ΔT=50 K\Delta T = 50 \text{ K}, the increase in area ΔA2×105×2×50×2=0.004 m2\Delta A \approx 2 \times 10^{-5} \times 2 \times 50 \times 2 = 0.004 \text{ m}^2.

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