What is the change in volume of an iron sphere of volume 400 cm ³, when it is heated from 0 to 50? ( αiron = 12 × 10⁻⁶/) (a) 0.36 cm³ (b) 0.18 cm³ (c) 0.72 cm³ (d) 0.54 cm³

Answer: (c). γ=3α=36×10⁻⁶/° C, Δ V=VγΔ T Δ V=400× 36×10⁻⁶× 50=0.72 cm ³ So the answer is (c) 0.72 cm ³.

What is the change in volume of an iron sphere of volume 400 cm ³… | MHT CET 2026 (12 May, Shift 2)

Q3MHT CET 2026 · 12 MAY · SHIFT 2Easy

Thermometry & Thermal Expansion

What is the change in volume of an iron sphere of volume $400$ cm $^3$ , when it is heated from $0^\circ\text{C}$ to $50^\circ\text{C}$ ? ( $\alpha_{\text{iron}} = 12 \times 10^{-6}/^\circ\text{C}$ )

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Answer: (c)

$\gamma=3\alpha=36\times10^{-6}/^\circ$ C, $\Delta V=V\gamma\Delta T$
$\Delta V=400\times 36\times10^{-6}\times 50=0.72$ cm $^3$
So the answer is (c) $0.72$ cm $^3$ .

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