Physics-Thermal Expansion

NEET Physics Thermal Expansion MCQ Question

Type: MCQ-diagram based-Easy-Class 11

Imagine a cube with initial side length 'l' that undergoes thermal expansion due to a temperature increase ΔT\Delta T. Which equation correctly represents the relationship between the change in volume ΔV\Delta V and the coefficient of linear expansion αl\alpha_l?

Question diagram
A

ΔV=3l2αllΔT\Delta V = 3l^2 \alpha_l l \Delta T

B

ΔV=2l2αllΔT\Delta V = 2l^2 \alpha_l l \Delta T

C

ΔV=l2αllΔT\Delta V = l^2 \alpha_l l \Delta T

D

ΔV=4l2αllΔT\Delta V = 4l^2 \alpha_l l \Delta T

Correct Answer

Option A

Detailed Explanation

The change in volume is given by ΔV=3l2Δl\Delta V = 3l^2 \Delta l where Δl=αllΔT\Delta l = \alpha_l l \Delta T, thus ΔV=3l2αllΔT\Delta V = 3l^2 \alpha_l l \Delta T.

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