Current Electricity Charging Discharging Of Capacitors Question 545

Question: $ A5^{o}C $ rise in the temperature is observed in a conductor by passing some current. When the current is doubled, then rise in temperature will be equal to

[BHU 2004]

Options:

A) $ 5^{o}C $

B) $ 10^{o}C $

C) $ 20^{o}C $

D) $ 40^{o}C $

Show Answer

Answer:

Correct Answer: C

Solution:

Using conservation of energy Supplied electric energy = absorbed heat energy

Therefore $ i^{2}Rt=mST $

Therefore $ T\propto i^{2} $ (T - change in temperature) i.e. when i is doubled T will be four times i.e. $ 5\times 4=20^{o}C $