Interpret the circuit

The two resistors of $5\,\Omega$ and $10\,\Omega$ are connected in parallel across the same potential difference.

Hence, if the voltage across each resistor is $V$, then the heat dissipated per second (i.e. power) in each resistor is:

$P = \frac{V^2}{R}$

Power in each resistor

• For $5\,\Omega$ resistor: $P_5 = \frac{V^2}{5}$

• For $10\,\Omega$ resistor: $P_{10} = \frac{V^2}{10}$

Take the ratio

$\frac{P_5}{P_{10}} = \frac{V^2/5}{V^2/10} = \frac{10}{5} = 2$

Therefore,

$P_5 : P_{10} = 2 : 1$

Match with options

This corresponds to Option B.

Comparison with stored correct answer

Stored correct answer: B

Derived answer: B

So, the derived answer agrees with the stored correct answer.