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Assertion: In a meter bridge experiment,...

Assertion: In a meter bridge experiment, the balancing length AC corresponding to null deflection of the galvanometer is x.
If the radius of the wire AB is doubled then the balanced length becomes 4x.
Reason: The resistance of a wire is inversel proportional to the square of its radius.
Which one of the following statement is correct?

A

Both assertion and reason are true and reason explains assertion correctly.

B

Both assertion and reason are true and reasons does not explain assertion correctly.

C

Assertion is true and reason is false.

D

Assertion is false and reason is true.

Text Solution

Verified by Experts

The correct Answer is:
D
If the radius is doubled the ratio of resistance will remain unchanged.
But, `R_1/R_2 = l_1/l_2` = constant.
Hence the balancing length will remain same.
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