A metal block of houl capacity \(80 \mathrm{~J} /{ }^{\circ} \mathrm{C}\) being
heated cloctrically is placod in a room at \(20^{\circ} \mathrm{C}\). The heater
is switched off when temperature of the block reaches \(30^{\circ} \mathrm{C}
.\) The temperature of block rises at rate \(2^{\circ} \mathrm{C} /
\mathrm{sJust}\) alter heater was switched ON and falls at the rate
\(0.2^{\circ} \mathrm{C} / \mathrm{s}\) when switch OFF. (Assume Newton's law of
cooling holds).
Find power of heater
(a) \(120 \mathrm{~W}\)
(b) \(140 \mathrm{~W}\)
(c) \(160 \mathrm{~W}\)
(d) \(200 \mathrm{~W}\)