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An iron bar whose cross sectional area i...

An iron bar whose cross sectional area is `4cm^(2)` is heated from `0^(@)C` and `10^(@)C`. The force required to prevent the expansion of the rod is [`Y` of Iron `= 2 xx 10^(12) "dyne" // cm^(2)`
`alpha` of Iron `= 12 xx 10^(-6 //@) C`]

A

`0.96 xx 10^(8)N`

B

`0.96 xx 10^(7)N`

C

`9.6 xx 10^(7)N`

D

`96 xx 10^(2)N`

Text Solution

Verified by Experts

The correct Answer is:
D
`Deltal = (Fl)/(AY)` …..(1)
Increase in length `Deltal = lalphaDeltat` …….(2)
from `(1)` and `(2) (Fl)/(AY) = lalphaDeltat rArr F = YAalphaDeltaT`
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