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One end of steel wire is fixed ti ceilin...

One end of steel wire is fixed ti ceiling of an elevator moving up with an acceleration `2 m//s^(2)` amd a load of 10 kg hangs from other end. Area of cross- section of the wire is `2cm^(2)` .The longitudinal strain in the wire is `(g= 10 m//s^(2) and Y= 2 xx 10^(11)Nm^(2))`.

A

`8 xx 10^(6) N//m^(2)`

B

`16 xx 10^(6) N//m^(2)`

C

`20 xx 10^(6) N//m^(2)`

D

`32 xx 10^(6) N//m^(2)`

Text Solution

Verified by Experts

The correct Answer is:
D
Tension in the wire (T) = m (g+a) = 8[9.8 + 2.2] = 96 N
`:.` Stress `= (F)/(A) = (T)/(A) = (96 N)/(3 xx 10^(-6) m^(2))`
`= 32 xx 10^(6) N//m^(2)`
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