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An electric bulb is rated `220 V and 100 W`. When it is operated on `110 V`, the power consumed will be :
A. 100W
B. 75W
C. 50W
D. 25W

1 Answer

+1 vote
by (67.7k points)
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Best answer
Correct Answer - D
In the first case:
Power, `P = 100W`
Potential difference, `V = 220V`
And, Resistance, `R = ?` (To be calculated)
Now, `P = (V^(2))/(R)`
SO, `100 = ((220)^(2))/(R)`
And `R = (220 xx 220)/(100) = 484 Omega`
The resistance of `484 Omega` of the bulb will remain unchanged.
In the second case:
Power, `P = ?` (To be calculated)
Potential difference, `V = 110V`
And, Resistance, `R = 484 Omega` (Calculated above)
Now, `P = (V^(2))/(R)`
`P = ((110)^(2))/(484) = (110 xx 110)/(484) = 25 W`
Thus, the correct answer is : (d) 25 W.

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