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Question: In meter bridge the balancing length from left and when standard resistance of 1 Ω is in right gas i...

In meter bridge the balancing length from left and when standard resistance of 1 Ω is in right gas is found to be 20 cm. The value of unknown resistance is

A

0.25 Ω

B

0.4 Ω

C

0.5 Ω

D

4 Ω

Answer

0.25 Ω

Explanation

Solution

The condition of wheatstone bridge gives XR=20r80r\frac { X } { R } = \frac { 20 r } { 80 r }

r- resistance of wire per cm, X- unknown resistance

X=2080×R=14×1=0.25ΩX = \frac { 20 } { 80 } \times R = \frac { 1 } { 4 } \times 1 = 0.25 \Omega