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Meter Bridge

In a meter br...

Question

In a meter bridge experiment, the ratio of the left gap resistance to right gap resistance is $2 : 3$ , the balance point from left is?

A

60

cm

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B

50

cm

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C

40

cm

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D

20

cm

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Solution

The correct option is D $40$ cm
Let $X$ is the left gap resistance and $R$ is the right gap resistance
$l_{1}$ be the balance point from left

From meter Bridge principle:-
$⟹ \frac{X}{R} = \frac{l_{1}}{100 - l_{1}} = \frac{2}{3}$

$⟹ 200 - 2 l_{1} = 3 l_{1} ⟹ 200 = 5 l_{1}$

$l_{1} = 40 c m$

Hence option $(C)$ is correct

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