With resistances P and Q in the left and the right gap respectively of a metre bridge, the null point divides the wire in the ratio `3:4` . When P and

Question

With resistances P and Q in the left and the right gap respectively of a metre bridge, the null point divides the wire in the ratio `3:4` . When P and

With resistances P and Q in the left and the right gap respectively of a metre bridge, the null point divides the wire in the ratio `3:4` . When P and Q are increased by `20Omega` each, the null point divides the wire in the ratio `5:6` . The values of P and Q are
A. `30 Omega, 40 Omega`
B. `20 Omega, 40Omega`
C. `30 Omega, 80Omega`
D. `20 Omega, 20Omega`

Monjur Alahi

5 views

2025-01-04 04:42

1 Answers

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Salim Ahmed Kawsar · Accepted Answer · 2023-02-05T15:29:48+06:00

Salim Ahmed Kawsar

Correct Answer - A
For balanced bridge, `(X)/(R)=(l_(x))/(l_(r))`
`:.(P)/(Q)=(3)/(4)`
`:.3Q-4P=0` .... (i)
Now, `(P+20)/(Q+20)=5/6`
`:.5Q-6P=20` ...(ii)
From equation (i) and (ii), we have,
`P=30 Omega ` and `Q=40Omega`

5 views Answered 2023-02-05 15:29