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NEET 2020
Exam
NEET
Year
2020
Subject
Physics
Chapter
Thermal Properties of Matter

NEET 2020 · Physics · Thermal Properties of Matter

The quantities of heat required to raise the temperature of two...

The quantities of heat required to raise the temperature of two solid copper spheres of radii r1and{r}_{1} and{r}_{2}(r1=1.5r2)\left({r}_{1} = 1.5{r}_{2}\right) through 1K1K are in the ratio:

Options

  1. A94\dfrac{9}{4}
  2. B32\dfrac{3}{2}
  3. C53\dfrac{5}{3}
  4. D278\dfrac{27}{8}

Correct answer

D. 278\dfrac{27}{8}

Step-by-step solution

Heat supplied \DeltaQ=Ms\DeltaT\DeltaQ = Ms\DeltaT

For same material 'ss' same.

\DeltaQ∝M\DeltaQ ∝ M and M=43πr3ρM = \dfrac{4}{3}\pi{r}^{3}ρ

\DeltaQ∝r3\DeltaQ ∝ {r}^{3}

ΔQ1ΔQ2=(r1r2)3=(1.51)3=278\dfrac{\Delta{Q}_{1}}{\Delta{Q}_{2}} = {\left(\dfrac{{r}_{1}}{{r}_{2}}\right)}^{3} = {\left(\dfrac{1 . 5}{1}\right)}^{3} = \dfrac{27}{8}

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