The volume of a metal block increases by 0.225% when its temperature is increased by 30. Hence coefficient of linear expansion of the material of metal block is (a) 7.5 × 10⁻⁵/. (b) 6.75 × 10⁻⁵/. (c) 2.5 × 10⁻⁵/. (d) 1.5 × 10⁻⁵/.

Answer: (c). (Δ V)/(V)=3αΔ T 0.00225=3α× 30⇒ α=(0.00225)/(90)=2.5×10⁻⁵/° C So the answer is (c).

The volume of a metal block increases by 0.225% when its temperature… | MHT CET 2023 (12 May, Shift 2)

Q33MHT CET 2023 · 12 MAY · SHIFT 2Easy

Thermometry & Thermal Expansion

The volume of a metal block increases by $0.225\%$ when its temperature is increased by $30^\circ\text{C}$ . Hence coefficient of linear expansion of the material of metal block is

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Answer: (c)

$\frac{\Delta V}{V}=3\alpha\Delta T$
$0.00225=3\alpha\times 30\Rightarrow \alpha=\frac{0.00225}{90}=2.5\times10^{-5}/^\circ$ C
So the answer is (c).

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