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If we use 100 Omega and 200 Omega in pla...

If we use `100 Omega` and `200 Omega` in place of `R` and `X` we get null point deflection, `l = 33cm`. If we interchange the resistors, the null point length is found to be `67 cm` Find end corrections `prop and beta`.

A

`alpha=1cm`, `beta=1cm`

B

`alpha=2cm`, `beta=1cm`

C

`alpha=1cm`, `beta=2cm`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
A

`alpha=(R_(2)l_(1)-R_(1)l_(2))/(R_(1)-R_(2))`
`=((200)(33)-(100)(67))/(100-200)=1cm`
`beta=(R_(1)l_(1)-R_(2)l_(2))/(R_(1)-R_(2))-100`
`=((100)-(200)(67))/(100-200)-100=1cm`
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Knowledge Check

  • With resistances P and Q in the left gap and right gap respectively, of a meter bridge. The null point is obtained at 60 cm from left end. When Q is increased by 10Omega the null point is obtained at 40 cm from left end. The values of P and Q are

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