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Two electric bulbs , rated at (25W,220V...

Two electric bulbs , rated at (25W,220V) and (100W,220V), are connected in series across a 220 V voltage source , if the 25W and 100W bulbs draw powers `P_(1) and P_(2)` Respectively , then :

A

`P_(1) =4W, P_(2) = 16 W`

B

`P_(1) = 16W, P_(2) = 9W`

C

`P_(1) = 16W, P_(2) = 4W`

D

`P_(1) = 9W, P_(2) = 16 W`

Text Solution

Verified by Experts

The correct Answer is:
C
`R_(1) = V^(2)/P =(220 xx 220)/25 = 1936 Omega`
`R_(2) = (220 xx 200)/100 = 484 Omega`
`I = 220/(1936 + 484) = 220/2420 = 11/121 = 1/11` Amp.
`P_(1) = i^(2)R= 1/121 xx 1936 = 16W`
`P_(2) = 1/121 xx 484 = 4W`
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