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AIIMS2019Physics-Thermal Expansion

AIIMS 2019 Physics Coefficient of Expansion MCQ Question

Type: MCQ-numerical-Medium-Class 11

The coefficient of apparent expansion of mercury in a glass vessel is 153×10−6/∘C153 \times 10^{-6} /^\circ\text{C} and in steel vessel is 144×10−6/∘C144 \times 10^{-6} /^\circ\text{C}. If α\alpha for steel is 12×10−6/∘C12 \times 10^{-6} /^\circ\text{C}, then that of glass is

A

9×10−6/∘C9 \times 10^{-6} /^\circ\text{C}

B

6×10−6/∘C6 \times 10^{-6} /^\circ\text{C}

C

36×10−6/∘C36 \times 10^{-6} /^\circ\text{C}

D

27×10−6/∘C27 \times 10^{-6} /^\circ\text{C}

Correct Answer

Option A

Detailed Explanation

In this problem, the real expansion of a material is expressed as the sum of its apparent expansion and the vessel expansion. The calculations show that the coefficient of linear expansion (α) of glass is determined to be 9×10−6 °C−19 \times 10^{-6} \, \text{°C}^{-1} after equating the expansions of glass and steel vessels. Since options B, C, and D are not provided, they cannot be evaluated; however, the derivation clearly demonstrates the relationship between the thermal expansions of different materials, reinforcing the concept of how vessel materials influence the overall expansion in thermal dynamics.

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