Physics-Thermal Expansion

NEET Physics Thermal Expansion MCQ Question

Type: MCQ-diagram based-Hard-Class 11

A diagram illustrates a cube of initial side length ll that undergoes thermal expansion when heated by a temperature ΔT\Delta T. If Δl\Delta l represents the change in length, what is the expression for the change in volume ΔV\Delta V of the cube?

Question diagram
A

3l2Δl3l^2 \Delta l

B

3lΔl23l \Delta l^2

C

l2Δll^2 \Delta l

D

l3Δll^3 \Delta l

Correct Answer

Option A

Detailed Explanation

The increase in volume ΔV\Delta V for a cube with side length ll is given by ΔV=3l2Δl\Delta V = 3l^2 \Delta l, neglecting higher-order terms of Δl\Delta l as it is small. This follows from the equation ΔV3l2Δl\Delta V \approx 3l^2 \Delta l as described in the NCERT context.

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