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An electric bulb marked 220 V, 100 W wil...

An electric bulb marked `220 V, 100 W` will get fused if it is made to consume `150 W` or more. What voltage fluctuation will the bulb withstand?

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To solve the problem, we need to determine the voltage fluctuation that the electric bulb can withstand before it fuses. The bulb is rated at 220 V and 100 W, and it will fuse if it consumes 150 W or more. ### Step-by-Step Solution: 1. **Calculate the Resistance of the Bulb**: The resistance \( R \) of the bulb can be calculated using the formula: \[ R = \frac{V^2}{P} \] where \( V \) is the voltage rating of the bulb (220 V) and \( P \) is the power rating (100 W). Substituting the values: \[ R = \frac{(220)^2}{100} = \frac{48400}{100} = 484 \, \Omega \] 2. **Determine the Maximum Power Before Fusing**: The bulb will fuse if it consumes 150 W or more. We can use the same formula for resistance to find the voltage at which the bulb consumes 150 W. 3. **Calculate the Voltage for 150 W**: Rearranging the formula \( P = \frac{V^2}{R} \) gives us: \[ V^2 = R \times P \] Therefore, we can find \( V \) by taking the square root: \[ V = \sqrt{R \times P} \] Substituting \( R = 484 \, \Omega \) and \( P = 150 \, W \): \[ V = \sqrt{484 \times 150} \] Calculating: \[ V = \sqrt{72600} \approx 270 \, V \] 4. **Conclusion**: The bulb can withstand a voltage fluctuation up to approximately 270 V before it fuses. ### Final Answer: The voltage fluctuation that the bulb can withstand is approximately **270 V**.

To solve the problem, we need to determine the voltage fluctuation that the electric bulb can withstand before it fuses. The bulb is rated at 220 V and 100 W, and it will fuse if it consumes 150 W or more. ### Step-by-Step Solution: 1. **Calculate the Resistance of the Bulb**: The resistance \( R \) of the bulb can be calculated using the formula: \[ R = \frac{V^2}{P} ...
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HC VERMA ENGLISH-THERMAL AND CHEMICAL EFFECT OF ELECTRIC CURRENT-Exercise
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