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Q.

The resistance wire AB in the balancing setup shown in figure is 10 cm long. When AC = 40 cm, no deflection occurs in the galvanometer. The unknown resistance R (in Ω) is ________

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answer is 15.

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Detailed Solution

In a meter bridge null deflection occurs at balancing state of Wheatstone bridge for which we use10R=ACCB⇒R=10CBAC=(10)100−4040=106040⇒R=15Ω
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The resistance wire AB in the balancing setup shown in figure is 10 cm long. When AC = 40 cm, no deflection occurs in the galvanometer. The unknown resistance R (in Ω) is ________