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In the determination of the Young's mod...

In the determination of the Young's modulus of a given wiere, the force, length, radius and extension in the wire are measured as
`(100 +- 0.01)N, (1.25 +- 0.02)m`
`(0.01 +- 0.0002)m` and `(0.01 +- 0.00002)m`, respectively. The percentage error in teh measurement of Young's modulus is

A

`4.37`

B

`2.37`

C

`0.77`

D

`2.77`

Text Solution

Verified by Experts

The correct Answer is:
A
`Y = (FL)/(Ae) = (FL)/(pi r^(2) e), (Delta Y)/(Y) xx 100 = [(Delta F)/(F) + (DeltaL)/(L) + (2Delta r)/(r) + (Delta e)/(e)] xx100`
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