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Q.

A resistance of 2Ω is connected across one gap of a meter bridge (the length of the wire is 100 cm ) and an unknown resistance, greater than 2Ω, is connected across the other gap. When these resistances are interchanged, the balance point shifts by 20 cm. Neglecting any corrections, the unknown resistance is

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a

3 Ω

b

4Ω

c

5 Ω

d

6 Ω

answer is A.

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Detailed Solution

R>2Ω100-x > xApplying, PQ=RSWe have, 2R=x100-xR2=x+2080-xSolving the equations,R=3Ω

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