Current Electricity Ques 78
- A meter bridge is set-up as shown in figure, to determine an unknown resistance $X$ using a standard $10$ $ \Omega$ 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 determined value of $X$ is
(2011)
(a) $10.2 $ $\Omega$
(b) $10.6 $ $\Omega$
(c) $10.8 $ $\Omega$
(d) $11.1 $ $\Omega$
Show Answer
Answer:
Correct Answer: 78.(b)
Solution:
Formula:
- Using the concept of balanced Wheat stone bridge, we have,
$\quad \frac{P}{Q} =\frac{R}{S} $
$\therefore \quad \frac{X}{(52+1)} =\frac{10}{(48+2)} $
$\therefore \quad X =\frac{10 \times 53}{50}=10.6 $ $\Omega$
$\therefore \quad $ Correct option is (b).
BETA
