In the circuit shown in the below figure, the potential difference between B and D is zero. The unknown resistance X is of

# In the circuit shown in the below figure, the potential difference between B and D is zero. The unknown resistance X is of

1. A

$4\text{\hspace{0.17em}\hspace{0.17em}}\Omega$

2. B

$2\text{\hspace{0.17em}\hspace{0.17em}}\Omega$

3. C

$3\text{\hspace{0.17em}\hspace{0.17em}}\Omega$

4. D

E.m.f. of a cell is required to find the value of X

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### Solution:

By balanced Wheatstone bridge condition, $\frac{16}{\mathrm{X}}\text{\hspace{0.17em}}=\frac{4}{0.5}$

$⇒\text{\hspace{0.17em}\hspace{0.17em}\hspace{0.17em}\hspace{0.17em}}\mathrm{X}\text{\hspace{0.17em}}=\text{\hspace{0.17em}}\frac{8}{4}\text{\hspace{0.17em}}=\text{\hspace{0.17em}}2\text{\hspace{0.17em}\hspace{0.17em}}\mathrm{\Omega }$

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