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Q.

In a circuit shown in fig. the heat produced in 5 ohm resistor due to a current flowing in it is 10 calories per second. The heat produced in 4 ohm resistor is

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a

1 cal per sec

b

2 cal per sec

c

3 cal per sec

d

4 cal per sec

answer is B.

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Detailed Solution

Resistance of upper branch, R1 =10ΩResistance of lower branch, R2  = 5 ΩAs they are connected in parallel, hence potential difference across each will be same = VGiven that V24⋅2R2=10cal/sec∴ V2=4⋅2×10×5=210or V=(210) volt Current in 4 Ω resistance=V/R1={(210)/10}Heat produced =i2R/4⋅2cal/sec=210100×44⋅2=2cal/sec
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