A metal rod (A) of length 20 cm expands by 0.075 cm when its… | MHT CET 2026 (14 May, Shift 2)

Q12MHT CET 2026 · 14 MAY · SHIFT 2Difficult

Thermometry & Thermal Expansion

A metal rod (A) of length $20$ cm expands by $0.075$ cm when its temperature changes from $0^{\circ}$ C to $100^{\circ}$ C. Another metal rod (B) of different metal of same length expands by $0.045$ cm for same temperature change. A third rod of same length is composed of 2 parts, one of metal A and another of metal B. For same temperature change, this rod expands by $0.060$ cm. The portion made of metal A has the length

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Answer: (b)

Expansion per cm for $100^\circ$ C: A gives $0.075/20 = 0.00375$ , B gives $0.045/20 = 0.00225$ .
Let A part be $x$ : $0.00375x + 0.00225(20 - x) = 0.060$
$0.0015x = 0.015 \Rightarrow x = 10$ cm
So the answer is (b) 10 cm.

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Thermometry & Thermal Expansion question from MHT CET 2026 (14 May, Shift 2)

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