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Q.

In the determination of the Young’s modulus of a given wire, the force, length, radius and extension in the wire are measured as (100 ± 0.01) N, (1.25 ± 0.002)m, (0.001 ± 0.00002)m, and (0.01 ± 0.00002)m, respectively. The percentage error in the measurement of Young’s modulus is

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a

2.77

b

2.37

c

0.77

d

4.37

answer is A.

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Detailed Solution

Y=FLAe=FLπr2e;ΔYY×100=ΔFF+ΔLL+2Δrr+Δee×100

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In the determination of the Young’s modulus of a given wire, the force, length, radius and extension in the wire are measured as (100 ± 0.01) N, (1.25 ± 0.002)m, (0.001 ± 0.00002)m, and (0.01 ± 0.00002)m, respectively. The percentage error in the measurement of Young’s modulus is