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Resistors P and Q are connected in the g...

Resistors P and Q are connected in the gaps of the meter bridge. The balancing point is obtained ` (1)/(3)` m from the zero end. If a `6Omega` resistance is connected in series with P the balance point shifts to ` (2)/(3)` m from the same end. P and Q are :

A

` 4,2 `

B

` 2,4`

C

` both a and b

D

neither a nor b

Text Solution

Verified by Experts

The correct Answer is:
B
`(P)/(Q) = (1//3)/(1-1//3) = (1//3)/(2//3)`
` rArr " " P : Q = 1: 2`
` " " P =k, Q = 2k `
` " " ( P +6)/(Q) = ((2)/(3))/(1-(2)/(3))`
`rArr " " ( P+6)/(Q) = (2)/(1)`
` " "(K+6)/(2k) =(2)/(1)`
` rArr " " K+6= 4k `
` rArr " " k=2`
` therefore " "P = 2Omega , Q = 4 Omega`
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