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Physics-

General

Easy

Question

In the circuit shown in figure, the heat produced in 5 ohm resistance is 10 calories per second. The heat produced in 4 resistance is

1 cal / sec
2 cal/sec
3 cal / sec
4 cal/sec

The correct answer is: 2 cal/sec

$fraction numerator i subscript 1 end subscript over denominator i subscript 2 end subscript end fraction equals fraction numerator R subscript 2 end subscript over denominator R subscript 1 end subscript end fraction equals fraction numerator 10 over denominator 5 end fraction equals fraction numerator 2 over denominator 1 end fraction$
Also heat produced per sec i.e. $fraction numerator H over denominator t end fraction equals P equals i to the power of 2 end exponent R$
Þ $fraction numerator P subscript 5 end subscript over denominator P subscript 4 end subscript end fraction equals open parentheses fraction numerator i subscript 1 end subscript over denominator i subscript 2 end subscript end fraction close parentheses to the power of 2 end exponent cross times fraction numerator 5 over denominator 4 end fraction equals open parentheses fraction numerator 2 over denominator 1 end fraction close parentheses to the power of 2 end exponent cross times fraction numerator 5 over denominator 4 end fraction equals fraction numerator 5 over denominator 1 end fraction$ Þ $P subscript 4 end subscript equals fraction numerator 10 over denominator 5 end fraction equals 2 c a l divided by s$

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