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  • The quantities of heat required to raise the temperature of two solid copper spheres of radii r1 and r2 (<img alt="r_1 = 1.5r_2" src="http://entrancecorner.onco

The quantities of heat required to raise the temperature of two solid copper spheres of radii r1 and r2 (r_1 = 1.5r_2) through 1K are in the ratio:

Option: 1

\frac{27}{8}


Option: 2

\frac{9}{4}


Option: 3

\frac{3}{2}


Option: 4

\frac{5}{3}


Answers (1)

best_answer

Q=ms\Delta T=\rho Vs\Delta T=\rho (\frac{4}{3}\pi r^3)s\Delta T

Since s ,\rho ,\Delta T  is same for both

So Q \ \alpha \ r^3

So \frac{Q_1}{Q_2}=(\frac{r_1}{r_2})^3=(\frac{1.5r_2}{r_2})^3=(\frac{3}{2})^3=\frac{27}{8}

Posted by

Irshad Anwar

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