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Electric Bulbs

Five bulbs wi...

Question

Five bulbs with power rating $B_{1} = B_{4} = 60 W - 200 V, B_{2} = B_{3} = 100 W - 200 V$ and $B_{5} = 40 W - 200 V$ now, 200 V are connected as shown in figure. Then
1. $B_{5}$ will glow the most
2. $B_{1}$ will glow more than $B_{4}$
3. $B_{2}$ and $B_{3}$ will glow the most

Only 1 is correct

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1 and 2 are correct

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1, 2, and 3 are correct

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None

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Solution

The correct option is B 1 and 2 are correct

$R_{1} = R_{n} = \frac{200^{2}}{60}$
$R_{2} = R_{2} = \frac{200^{2}}{100}$
$R_{5} = \frac{200^{2}}{40}$
As $R_{1} + R_{2} + R_{3} < R_{4} + R_{5} \Rightarrow i_{2} > i_{1}$
So by power out put $P = i^{2} R \Rightarrow P_{1} > P_{n}$
As $R_{2} < R_{1} \Rightarrow P_{1} > P_{2} = P_{3}$
and $P_{1} < P_{5}$

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Five bulbs with power rating $B_{1} = B_{4} = 60 W - 200 V, B_{2} = B_{3} = 100 W - 200 V$ and $B_{5} = 40 W - 200 V$ now, 200 V are connected as shown in figure. Then
1. $B_{5}$ will glow the most
2. $B_{1}$ will glow more than $B_{4}$
3. $B_{2}$ and $B_{3}$ will glow the most