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Question

When electric bulbs of same power but different marked voltage are connected in series across the power line, their brightness will be:

A
proportional to their marked voltage
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B
inversely proportional to their marked voltage
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C
proportional to the square of their marked voltage
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D
inversely proportional to the square of their marked voltage
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E
the same for all of them
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Solution

The correct option is B proportional to the square of their marked voltage
We know, PR and VR
Higher wattage means less resistance, when a number of bulbs are connected in series, a bulb with lower resistance will consume less power & the P.D. across it will also be less. Therefore in series connection, a bulb with higher voltage will glow less brightly. Hence, their brightness will be proportional to the square of their marked voltage.

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