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The resistances in left and right gap of...

The resistances in left and right gap of a meter brigdge are 20 `omega` and 30 `omega` respecitively when the resistance in the left gap is reduced to half its value then balance point shifts by

A

15 cm to the right

B

15 cm to the left

C

20 cm to the right

D

20 cm to the left

Text Solution

Verified by Experts

The correct Answer is:
a

Balance condition in meter bridge is given by
`(P)/(Q)=(l)/(100-l)`
where P is the resistance in left gap and Q is the resistance in right gap and L is length of wire from one end (i.e left end ) where null or balance point is obtained
here `20/30 =(l)/(100-l) rarr l =40 cm`
Now `P=(20)/(2)=10` cm
`therefore 10/230 =(l)/(100-I)rarr I=25 cm`
so balance point shifts by (40-25) cm i.e 15 cm to the left
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