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NEET 2020 (Phase 1) · Calorimetry, Latent Heat & Mechanical Equivalent of Heat

Calorimetry, Latent Heat & Mechanical Equivalent of Heat question from NEET 2020 (Phase 1)

Q30NEET 2020 · PHASE 1Medium

Calorimetry, Latent Heat & Mechanical Equivalent of Heat

The quantities of heat required to raise the temperature of two solid copper spheres of radii r1 and r2 (r1 = 1.5r2) through 1 K are in the ratio:

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Answer: (d)

  1. Heat for 1 K1\text{ K} =mc= mc, and m=ρ⋅43πr3m = \rho \cdot \tfrac{4}{3}\pi r^3, so Q∝r3Q \propto r^3 (same material).
  2. Q1Q2=(r1r2)3=(1.5)3=278\dfrac{Q_1}{Q_2} = \left(\dfrac{r_1}{r_2}\right)^3 = (1.5)^3 = \dfrac{27}{8}
  3. So the answer is (d) 278\dfrac{27}{8}.
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