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At 40^(@)C a brass wire of 1mm radius is...

At `40^(@)C` a brass wire of 1mm radius is hung from the ceiling. A small mass, M is hung from the free end of the wire. When the wire is cooled down from` 40^(@)C` to `20^(@)C` it regains its original length of 0.2 m the value of M is close to (coefficient of linear expansion and young's modulus of brass are `10^(-5)//.^(@)C` and `10^(11)//N//m^(2)` respectively `g=10ms^(-2))`

A

9 kg

B

1.5 kg

C

0.5 kg

D

0.9 kg

Text Solution

Verified by Experts

The correct Answer is:
A
`y=("stress")/("strain")=(F//A)/(Deltal//l)`
`y=(mg)/(Aa DeltaT)," "m=(yA a DeltaT)/(g)=2pi`
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