question_answer

Two electric bulbs, rated at (25 W, 220 V) and (100 W, 220 V), are connected in series across a 220 V voltage source. If the 25 W and 100 W bulbs draw powers \[{{P}_{1}}\]and \[{{P}_{2}}\]respectively, then  [JEE Main 12-Jan-2019 Morning]

A) \[{{P}_{1}}=9W,{{P}_{2}}=16W\]

B) \[{{P}_{1}}=16\,W,{{P}_{2}}=4W\]

C) \[{{P}_{1}}=4\,W,{{P}_{2}}=16W\]

D) \[{{P}_{1}}=16\,W,{{P}_{2}}=9W\]

Correct Answer: B

Solution :

[b]

Resistance across 25 W bulb

Resistance across 100 W bulb

Total Resistance

Total current

Power consumed by 25 W bulb

Power consumed by 100 W bulb