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Q.

Of the two bulbs, one glows brighter than the other. Which bulb has a higher resistance (connecting the two bulbs one by one with the same voltage source, not together)?

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a

Both have the same resistance.

b

The bright bulb.

c

The dim bulb.

d

Brightness is independent of resistance.

answer is D.

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Detailed Solution

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Power $(P) = \frac{V^{2}}{R}$
According to the formula above, power is inversely proportional to resistance when the potential remains constant.
The maximum power-draining bulb will light more brightly than the others, and current is inversely proportional to resistance.
As a result, a dim bulb will have higher resistance, whereas one that is nearly as bright as the other will have lower resistance.

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