The quantities of heat required to raise the temperature of two solid copper spheres of radii r_1 and r_2 ( r_1 = 1.5 r_2 ) through 1 K are in the rat - Physics MCQ NEET 2020 E1 2026 | ExamTest.live

hardMCQNEET 2020 E12026Physics

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The quantities of heat required to raise the temperature of two solid copper spheres of radii r_{1} and r_{2} (r_{1} = 1.5 r_{2}) through 1 K are in the ratio:

Solution & Step-by-step Explanation

Heat required Q = m c Δ T = (ρ V) c Δ T = ρ (\frac{4}{3} π r^{3}) c Δ T .Since ρ, c, and Δ T are same: Q \propto r^{3} . \frac{Q _{1}}{Q _{2}} = (\frac{r _{1}}{r _{2}})^{3} = (1.5)^{3} = (3/2)^{3} = 27/8

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The quantities of heat required to raise the temperature of two solid copper spheres of radii r_{1} and r_{2} (r_{1} = 1.5 r_{2}) through 1 K are in the ratio:

27/8

9/4

3/2

5/3

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