Physics-Thermal Expansion

NEET Physics Thermal Expansion MCQ Question

Type: MCQ-diagram based-Medium-Class 11

Consider a diagram showing a cube of material with an initial length ll that expands when heated. If the coefficient of linear expansion is αl\alpha_l and the temperature change is ΔT\Delta T, which expression represents the change in volume ΔV\Delta V of the cube due to thermal expansion?

Question diagram
A

3l2αllΔT3l^2 \alpha_l l \Delta T

B

2l2αllΔT2l^2 \alpha_l l \Delta T

C

l3αlΔTl^3 \alpha_l \Delta T

D

lαlΔTl \alpha_l \Delta T

Correct Answer

Option A

Detailed Explanation

The change in volume ΔV\Delta V for a cube of length ll is given by ΔV=3l2Δl\Delta V = 3l^2 \Delta l. Substituting Δl=αllΔT\Delta l = \alpha_l l \Delta T, we get ΔV=3l2αllΔT\Delta V = 3l^2 \alpha_l l \Delta T.

Found an issue with this question?