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JEE Main 202124 FebruaryMorning Shift

Exam: JEE Main
Year: 2021
Date: 24 February
Shift: Morning Shift
Subject: Physics
Chapter: Thermal Properties of Matter

JEE Main 2021 · 24 February · Morning Shift · Physics · Thermal Properties of Matter

Each side of a box made of metal sheet in cubic shape is a at room...

Each side of a box made of metal sheet in cubic shape is

a

at room temperature

T

, the coefficient of linear expansion of the metal sheet is

\alpha

. The metal sheet is heated uniformly, by a small temperature

\DeltaT

, so that its new temperature is

T + \DeltaT

. Calculate the increase in the volume of the metal box.

Options

A $4{a}^{3}\alpha\DeltaT$
B $3{a}^{3}\alpha\DeltaT$
C $4\pi{a}^{3}\alpha\DeltaT$
D $\dfrac{4}{3}\pi{a}^{3}\alpha\DeltaT$

Correct answer

B. $3{a}^{3}\alpha\DeltaT$

Step-by-step solution

$\DeltaV = V\gamma\DeltaT$

$\DeltaV = 3{a}^{3}\alpha\DeltaT$

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