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In meter bridge experiment AB is wire of...

In meter bridge experiment AB is wire of 1m of uniform cross section area. If resistivity of AB wire is `rho,` null point is obtained at a point `'l_(2)'` distance from A. If resistivity is `2rho` null point will be ‘`'l_(2)'` from A and if left half of the wire has resistivity `rho` and right half has resistivity `2rho` then null point is at `'l_(3)'`. Choose the correct statement:

A

`l_(1)=l_(2)=l_(3)`

B

`l_(1) = l_(2) gt l_(3)`

C

`l_(1) gt l_(2)=l_(3)`

D

`l_(1)=l_(2) lt l_(3)`

Text Solution

Verified by Experts

The correct Answer is:
D
if resistivity is uniform then position of null point does not depend on its value so `l_(1)=l_(2)`.
If left half has resistivity `rho` and right half has resistivity `2rho` then to get some ratio null point has to be shifted towards right `(l_(3)gtl_(2))`.
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