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Question

An electric kettle has two coils. When one coil is connected to the ac mains, the water in the kettle boils in 10minutes. When the other coil is used, the same quantity of water takes 15minutes to boil. The time taken by the same quantity of water to boil if the two coils are connected in parallel is

A
6 min
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B
12 min
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C
18 min
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D
24 min
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Solution

The correct option is B 6 min
Q=E2×10R1Q=E2×15R2
When connected in parallel

Q=E2[1R1+1R2]×t

Q=[Q10+Q15]×t

t=10×1525=6min

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