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10-1.Thermometry, Thermal Expansion and Calorimetry
medium
The quantities of heat required to raise the temperature of two solid copper spheres of radil $r _{1}$ and $r _{2}\left( r _{1}=1.5 r _{2}\right)$ through $1\;K$ are in the ratio
A
$\frac{5}{3}$
B
$\frac{27}{8}$
C
$\frac{9}{4}$
D
$\frac{3}{2}$
(NEET-2020)
Solution
Heat supplied $\Delta Q= Ms \Delta T$
For same material $'s'$ same.
$\Delta Q \propto M \quad$ and $\quad M=\frac{4}{3} \pi r^{3} \rho$
$\Delta Q \propto r^{3}$
$\frac{\Delta Q _{1}}{\Delta Q _{2}}=\left(\frac{ r _{1}}{ r _{2}}\right)^{3}=\left(\frac{1.5}{1}\right)^{3}=\frac{27}{8}$
Standard 11
Physics
