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Q.

Four Resistances P,Q,R,X formed a wheat stone bridge. The bridge is balanced when R=100  Ω .If P and Q   are inter changed the bridge balance for121  Ω  .The value of X is

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a

300   Ω

b

110   Ω

c

200   Ω

d

100   Ω

answer is D.

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Detailed Solution

Resistance R=100Ω Resistance R=121Ω
Balancing condition for wheat stone bridge
PQ=RXPQ=100X...(1)

P and Q are inter changed QP=RX QP=121X....(2)

on 1×2 we get PQ×QP=100X×121X1=100Xx121XX=110Ω

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Four Resistances P,Q,R,X formed a wheat stone bridge. The bridge is balanced when R=100  Ω .If P and Q   are inter changed the bridge balance for121  Ω  .The value of X is