Assertion : Two electric bulbs of 50 and `100 W` are given. When connected in series `50 W` bulb glows more but When connected parallel `100 W` bulb glows more .
Reason : In series combination, power is directly proportional to the resistance of circuit. But in parallel combination, power is inversely proportional to the resistance of the circuit.

Options

A. If both assertion and reason are true and the reason is the correct explanation of the assertion.
B. If both assertion and reason are true but reason is not the correct explanation of the assertion
C. If assertion is true but reason is false
D. If the assertion and reason both are false.

Answer

A

Explanation

Resistance of 50 W bulb is two times the resistance of 100 W bulb. When bulbs are connected in series, 50 W bulb will glow more as `P = i^(2)R` (current remains same in series). In parallel the 100 W bulb will glow more as `P= V^(2)//R` = (potential difference remains same in parallel).