A meter bridge is set up as shown, to determine an unknown resist… - Vidyadip

MCQ

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 endcorrections are $1\,cm$ and $2\,cm$ respectively for the ends $A$ and $B$. The determined value of ' $X$ ' is $..........\Omega$

A
$10.2$
✓
$10.6$
C
$10.8$
D
$11.1$

✓

Answer

Correct option: B.

$10.6$

b
$b$

At Null point $\frac{X}{\ell_1}=\frac{10}{\ell_2} \Rightarrow$

$\frac{X}{53}=\frac{10}{50} \quad \therefore X=\frac{53}{5}=10.6 \Omega$

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