A meter bridge with resistance R1 and R2 connected in two gaps is balanced at 0.4 m from zero end. If smaller resistance is connected in series with 10Ω resistance, the balance point is shifted to 0.4 m from other end. The value of smaller resistance is
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a
40 Ω
b
60 Ω
c
20 Ω
d
8 Ω
answer is D.
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Detailed Solution
From the concept of meter bridge,R1R2=0.40.6⇒R1R2=23R1+10R2=0.60.4⇒R1+103/2R1=32∴R1=8Ω
A meter bridge with resistance R1 and R2 connected in two gaps is balanced at 0.4 m from zero end. If smaller resistance is connected in series with 10Ω resistance, the balance point is shifted to 0.4 m from other end. The value of smaller resistance is