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Q.

In a meter bridge circuit as shown, when one more resistance of 100 Ω is connected is parallel with unknown resistance x, then ratio l1l2become 2. If l1 is balance length of the uniform wire A B, then the value of x must be:

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a

50 Ω

b

100 Ω

c

200 Ω

d

400 Ω

answer is B.

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Detailed Solution

∵wheat stone bridge is in balanced conditionSo 100ℓ1=100x100+xℓ2∵ℓ1ℓ2=2 ⇒x=100Ω
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In a meter bridge circuit as shown, when one more resistance of 100 Ω is connected is parallel with unknown resistance x, then ratio l1l2become 2. If l1 is balance length of the uniform wire A B, then the value of x must be: