Assertion :In the circuit in fig, both cells are ideal and of fixed emf, the resistor $R_{1}$ has fixed resistance and the resistance of resistor $R_{2}$ can be varied (but $R_{2}$ is always nonzero). Then the electric power delivered to the resistor of resistance $R_{1}$ is independent of the value of resistance $R_{2}$ . Reason: If potential difference across a fixed resistance is unchanged, the power delivered to the resistor remains constant.

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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Assertion is incorrect but Reason is correct

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Solution

The correct option is A Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
Here the potential across $R_{1}$ is always $| E_{1} - E_{2} |$ . Thus, Power in $R_{1}$ is $P_{1} = \frac{(| E_{1} - E_{2} |)^{2}}{R_{1}}$ which is independent of $R_{2}$ . Hence, both Assertion and Reason are correct and Reason is the correct explanation for Assertion.

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