Question Details

The length of a wire increases by 1% by a load of 2 kg-wt. The linear strain produced in the wire will be

Options

A

0.02

B

0.001

C

0.01

D

0.002

Correct Answer :

0.01

Solution :

To find the linear strain produced in the wire, we can use the definition of strain.

Linear strain (often denoted by ε) is defined as the ratio of the change in length of the body (ΔL) to its original length (L):

Strain=ΔLL

The problem states that the length of the wire increases by 1%. This means that the change in length is 1% of the original length:

ΔL=1%·L=1100·L=0.01·L

Substituting this relationship into the formula for linear strain, we get:

Strain=0.01·LL=0.01

Thus, the linear strain produced in the wire is 0.01.

The correct option is 0.01.

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