Q. In the circuit shown in figure, the heat produced in $5\ ohm$ resistance is $10\ calories\ per\ second.$ The heat produced in $4\ ohm$ resistance is
A) $1\ cal/sec$
B) $2\ cal/sec$
C) $3\ cal/sec$
D) $4\ cal/sec$
Explanation
(b) $\frac{i_{1}}{i_{2}} = \frac{R_{2}}{R_{1}} = \frac{10}{5} = \frac{2}{1}$
Also heat produced per $\sec{i.e.}\frac{H}{t} = P = i^{2}R$
$\Rightarrow \frac{P_{5}}{P_{4}} = \left( \frac{i_{1}}{i_{2}} \right)^{2} \times \frac{5}{4} = \left( \frac{2}{1} \right)^{2} \times \frac{5}{4} = \frac{5}{1} \Rightarrow P_{4} = \frac{10}{5} = 2cal/s$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.