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NEET PhysicsMedium

The quantities of heat required to raise the temperature of two solid copper spheres of radii r1r_1 and r2r_2 (r1=1.5r2r_1 = 1.5 r_2) through 1 K are in the ratio :

1

\frac{27}{8}

2

\frac{9}{4}

3

\frac{3}{2}

4

\frac{5}{3}

Step-by-Step Solution

ΔQ=msΔT\Delta Q = ms\Delta T. ΔQ=43πr3ρsΔT\Delta Q = \frac{4}{3}\pi r^3 \rho s \Delta T. ΔQ1ΔQ2=(r1r2)3=(1.5)3=278\frac{\Delta Q_1}{\Delta Q_2} = \left(\frac{r_1}{r_2}\right)^3 = (1.5)^3 = \frac{27}{8}.

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