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Q.

Four identical bulbs are connected to a battery as shown in the figure. After the switch S is closed,

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a

Brightness of all bulbs will increase

b

Brightness of all bulbs will decrease

c

Brightness of all bulbs will remain unchanged

d

Brightness of B1 and B4 will increase and brightness of B2 and B3 will decrease.

answer is C.

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Detailed Solution

initially current through each bulb,i1=V2RAfter S is closed, equivalent resistance of the circuit, RC=R×RR+R+R×RR+R=RSo, current through each bulb,  i2=12VR=V2R=i1Since brightness ∝i2  and i2=i1. brightness of the bulbs remains unchanged.
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