Q 12-03-082JEE MainJEE Main 2024 (5 Apr, Shift 2)Easy
A $20\ \Omega$ resistor is connected in series with a parallel combination of $5\ \Omega$ and $10\ \Omega$ resistors across a $10\ \text{V}$ battery. The ratio of heat dissipated per second through the $5\ \Omega$ and $10\ \Omega$ resistances is
Answer: (B) $2:1$
The $5\ \Omega$ and $10\ \Omega$ resistors are in parallel, so they have the same voltage. With $P = \dfrac{V^2}{R}$:
$$\frac{P_5}{P_{10}} = \frac{10}{5} = 2:1$$
Solution by Sreeraj P, M.Sc Physics