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Q.

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

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a

proportional to their marked voltage

b

proportional to the square of their marked voltage

c

inversely proportional to their marked voltage

d

inversely proportional to the square of their marked voltage

answer is C.

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Detailed Solution

detailed_solution_thumbnail

As bulbs are connected in series, the current will be the same.

So, P=V2R​=I2R

As I is constant,

P ∝ R

Now put the formula of resistance of bulb ​​ Rbulb =V2markedPmarked

Since ​Pmarked is constant for all the bulbs,

It is proportional to ​V2marked.

So, P ∝  V2marked

So, power is proportional to the square of their marked voltage.

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