Explanation:
A We know that,
Heat, $H=\frac{V^{2}}{R}$ for the same potential difference, the heat produced per second $\mathrm{H} \propto \frac{1}{\mathrm{R}}$ one part of the heater coil
Hence, $\frac{\mathrm{H}_{2}}{\mathrm{H}_{1}}=\frac{\mathrm{R}_{1}}{\mathrm{R}_{2}}=\frac{\mathrm{R}}{\mathrm{R} / 3}$
$\frac{\mathrm{H}_{2}}{100}=\frac{3 \mathrm{R}}{\mathrm{R}}$
$\mathrm{H}_{2}=3 \times 100$
$\mathrm{H}_{2}=300 \text { calories }$