Assertion : When current through a bulb decre | vedclass

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(A) The glow of a bulb is determined by the power dissipated,given by $P = I^2R$.Using the concept of relative error,we have $\frac{dP}{P} = 2 \left(

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If both Assertion and Reason are correct and Reason is the correct explanation of Assertion.

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(A) The glow of a bulb is determined by the power dissipated,given by $P = I^2R$.Using the concept of relative error,we have $\frac{dP}{P} = 2 \left( \frac{dI}{I} ight)$.Given that the current decreases by $0.5\%$,we have $\frac{dI}{I} = 0.5\%$.Substituting this into the error formula: $\frac{dP}{P} = 2 	imes 0.5\% = 1\%$.Thus,the glow of the bulb decreases by $1\%$.Since the power is indeed proportional to the square of the current $(P \propto I^2)$,the Reason correctly explains the Assertion.

Assertion : When current through a bulb decreases by $0.5\%$,the glow of bulb decreases by $1\%$.
Reason : Glow (Power) is directly proportional to the square of current.

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Assertion : When current through a bulb decreases by $0.5\%$,the glow of bulb decreases by $1\%$.Reason : Glow (Power) is directly proportional to the square of current.