A meter bridge is set up as shown, to determine an unknown resistance `X` using a standard 10 ohm resistor. The galvanometer shows null point when tapping -key is at 52 cm mark. The end-corrections are 1 cm and 2 cm respectively for the ends A and B. The determine value of `X` is

Options

A. 10.2 ohm
B. 10.6 ohm
C. 10.8 ohm
D. 11.1 ohm

Answer

B

Explanation

(b) At null point

`X / l_1 = 10 / l_2`
Here `l_1 = 52 + End correction = 52 + 1 = 53 cm`
`l_2 = 48 + End correction = 48 + 2 = 50 cm.
`:. X/(53) = 10/50 rArr X=53/5 = 10.6 `Omega`.