A $50 \,W$ bulb connected in series with a heater coil is put to an $AC$ mains. Now the bulb is replaced by a $100 \,W$ bulb. The heater output will ...........
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(c)
$P_1=\left(\frac{E}{R+R^{\prime}}\right)^2 R^{\prime}$
$P_2=\frac{E R^{\prime}}{\left(\frac{R}{2}+R^{\prime}\right)^2}$
$P_2 > P_1$
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