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Question

An electric heater, operating at 220 V, boils 5 l of water in 5 minutes. If it is used on a 110 V line, it will boil the same amount of water in:

A
10 minutes
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B
20 minutes
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C
5 minutes
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D
1 minute
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Solution

The correct option is B 20 minutes
Heat required to boil the water will be same in the two cases.
Heat produced by heater is:
H=V2Rt
V2=HRt
Hence, other things remaining constant, V21t

Let the first case be labeled by subscript 1 and the second by subscript 2. Then,

t2t1=V21V22
t2=2202×51102
t2=20 min

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