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On interchanging the resistances, the ba...

On interchanging the resistances, the balance point of a meter bridge shifts to the left by 10 cm. The resistance of their series combination is `1k Omega`. How much was the resistance on the left slot before interchanging the resistances ?

A

550 `Omega`

B

910 `Omega`

C

990 `Omega`

D

505 `Omega`

Text Solution

Verified by Experts

The correct Answer is:
A
Initially
`r(100-x) = (1000-r)x`….. (i)
After interchaning
`(1000-r)[100-(x-10)] =r(x-10)`…….. (ii)
(i) `rArr 100r -rx = 1000 x - rx rArr r = 10 x`
(ii) `rArr (1000 -r)(110-r/10) = r(r/10 -10)`
`rArr r = 550 Omega`
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