The volume of a metal sphere increases by 0.33% when its temperature is raised by 50. The coefficient of linear expansion of the metal is (a) 2.2 × 10⁻⁵/ (b) 6.6 × 10⁻⁵/ (c) 13.2 × 10⁻⁵/ (d) 19.8 × 10⁻⁵/

Answer: (a). (Δ V)/(V)=γΔ T=3αΔ T 0.0033=3α× 50⇒ α=(0.0033)/(150)=2.2×10⁻⁵/° C So the answer is (a).

The volume of a metal sphere increases by 0.33% when its temperature… | MHT CET 2025 (25 Apr, Shift 2)

Q16MHT CET 2025 · 25 APR · SHIFT 2Easy

Thermometry & Thermal Expansion

The volume of a metal sphere increases by $0.33\%$ when its temperature is raised by $50^\circ\text{C}$ . The coefficient of linear expansion of the metal is

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Answer: (a)

$\frac{\Delta V}{V}=\gamma\Delta T=3\alpha\Delta T$
$0.0033=3\alpha\times 50\Rightarrow \alpha=\frac{0.0033}{150}=2.2\times10^{-5}/^\circ$ C
So the answer is (a).

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