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Question

A meter bridge setup as shown below is used to determine an unknown resistance X using a standard 21 Ω resistor. If null point is at 40 cm from A, and end correction at A, B are 2.0 cm each, find value of X,


A
21 Ω
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B
31 Ω
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C
41 Ω
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D
51 Ω
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Solution

The correct option is B 31 Ω
Using the concept of proportion between the lengths and their respective resistances we can write,

Rl1=Xl2

Since, l1=40+2=42 cm, and l2=60+2=62 cm

R40+2=X60+2

X=2142×62

X=31 Ω

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