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

\(\frac{3}{2}\) \(\frac{5}{3}\) \(\frac{27}{8}\) \(\frac{9}{4}\)

\(\frac{27}{8}\)

\(\Delta \)Q = m c \(\Delta\)T m = \(\frac{4 \pi r^3}{3} \rho\) c \(\Delta\)T \(\frac{\Delta Q_1}{\Delta_2}\) = [\(\frac{r_1}{r_2}\)]3 = \(\frac{27}{8}\)