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A stress of 3.18xx10^(8)" Nm"^(-2) is ap...

A stress of `3.18xx10^(8)" Nm"^(-2)` is applied to a steel rod of length 1 m along its length, its Young's modulus is `2xx10^(11)"Nm"^(-2)`. Then the elongation in mm produced in the rod, is

A

3.18

B

6.36

C

5.18

D

1.59

Text Solution

Verified by Experts

The correct Answer is:
D

Young's modulus `Y=(FL)/(A Delta l)`
`implies" "Deltal=("FL")/("AY")`
`:." "Deltal=(3.18xx10^(8)xx1)/(2xx10^(11))`
`=1.59xx10^(-3)` m
`=1.59" mm"`
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