Calculate the force required to prevent a steel wire of $1 \mathrm{~mm}^2$ cross-section from contracting when it cools from $60^{\circ} \mathrm{C}$ to $15^{\circ} \mathrm{C}$, if Young's modulus for steel is $2 \times 10^{11} \mathrm{~Nm}^{-2}$ and its coefficient of linear expansion is $0.000011^{\circ} \mathrm{C}^{-1}$.

JEE PHYSICS MCQ: THERMAL PROPERTIES OF MATTER

1 Medium

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Application +4 | -1

Calculate the force required to prevent a steel wire of

1 \mathrm{~mm}^2

cross-section from contracting when it cools from

60^{\circ} \mathrm{C}

15^{\circ} \mathrm{C}

, if Young's modulus for steel is

2 \times 10^{11} \mathrm{~Nm}^{-2}

and its coefficient of linear expansion is

0.000011^{\circ} \mathrm{C}^{-1}

View answer and explanation

Correct option: A

99 \mathrm{~N}

Option A (

99 \mathrm{~N}

) is correct because it is the force required to prevent contraction, calculated using Young's modulus and the coefficient of linear expansion.