In a meter bridge experiment with an unknown resistance X in the left gap and a resistance of 60 ohm in the right gap null point is obtained at a distance. If the unknown is shunted by equal resistance in order to get the same null point the value of known resistance in the right gap is

30 ohm

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15 ohm

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25 ohm

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16 ohm

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Solution

The correct option is A 30 ohm
When $x$ a nd $x$ are in parallel the effective resistance is $x / 2$
$\frac{x}{60} = \frac{l_{1}}{P_{2}} \frac{x / 2}{y} = \frac{l_{1}}{R_{2}} \Rightarrow y = 30 Ω$
New known resistance $= 30 Ω$

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In a meter bridge experiment with an unknown resistance X in the left gap and a resistance of 60 ohm in the right gap null point is obtained at a distance. If the unknown is shunted by equal resistance in order to get the same null point the value of known resistance in the right gap is

The correct option is A 30 ohmWhen xa nd x are in parallel the effective resistance is x/2x60=l1P2x/2y=l1R2⇒y=30ΩNew known resistance =30Ω

The correct option is A 30 ohm
When $x$ a nd $x$ are in parallel the effective resistance is $x / 2$
$\frac{x}{60} = \frac{l_{1}}{P_{2}} \frac{x / 2}{y} = \frac{l_{1}}{R_{2}} \Rightarrow y = 30 Ω$
New known resistance $= 30 Ω$