Current Electricity Ques 98

98. A $5^{\circ} C$ rise in temperature is observed in a conductor by passing a current. When the current is doubled the rise in temperature will be approximately

(a) $10^{\circ} C$

(b) $16^{\circ} C$

(c) $20^{\circ} C$

(d) $12^{\circ} C$

[1998]

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Answer:

Correct Answer: 98.(c)

Solution:

  1. (c) Since $H \propto I^{2}$, doubling the current will produce 4 times heat. Hence, the rise in temperature will also be 4 times i.e., rise in temperature $=4 \times 5=20^{\circ} C$.