Assertion :A resistor of resistance R is connected to an ideal battery. If the value of R is decreased, the power dissipated in the circuit will increase. Reason: The power dissipated in the circuit is directly proportional to the resistance of the circuit.

Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

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Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion

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Assertion is correct but Reason is incorrect

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Both Assertion and Reason are incorrect

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Solution

The correct option is C Assertion is correct but Reason is incorrect
The relation between power dissipation and resistance is given by:
P = $\frac{E^{2}}{R}$ i.e Power dissipation is indirectly proportional to the resistance. Hence if the value of R is decreased, the power dissipation in the circuit will increase. Hence the assertion is correct. But the reason is incorrect as it mentions that the power dissipation is directly proportional to the resistance of the circuit which contradicts the relation between power dissipation and resistance of the circuit.

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