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A resistance of 2 Omega is connected acr...

A resistance of `2 Omega` is connected across one gap of a meter bridge (the length of the wire is `100 cm` and an unknown resistance, greater than ` 2 Omega`, is connected across the other gap. When these resistance are interchanged, the balance point shifts by `20cm`. Neglecting any corrections, the unknown resistance is.
(a)` 3 Omega`
(b) `4 Omega`
( c) `5 Omega`
(d) `6 Omega`.

Text Solution

Verified by Experts

The correct Answer is:
A
`R gt 2 Omega rArr :. 100 -x gtx`

Applying `P/Q= R/S`
We have `2/R=x/(100-x)` ….(i)
`R/2= (x+20)/(80-x)` …(ii)
Solving Eqs. (i) and (ii), we get, `R = 3 Omega`
`:.` Correct option is (a).
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Knowledge Check

  • A resistance of 2Omega is connected across one gap of a meter bridge (the length of the wire is 100 cm ) and an unknown resistance, greater than 2Omega is conneted across the other gap. When these resistances are interchanged, the balance point shifts by 20 cm . Neglecting any corrections,the unknown resistance is

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