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What would be the greatest length of a s...

What would be the greatest length of a steel wire, which when fixed at one end can hang freely without breaking?
(Density of steel `= 7800 kg//m^(3)`, Breaking stress form steel `= 7.8 xx 10^(8) N//m^(2) , g = 10 m//s^(2)`)

A

`L = 2 km`

B

`L = 5 km`

C

`L = 8 km`

D

`L = 10 km`

Text Solution

Verified by Experts

The correct Answer is:
D
Breaking stress `= (Mg)/(A) = (AL dg)/(A) = Ldg`
`:. L = ("Breaking stress")/(dg)`
`= (7.8 xx 10^(8))/(7.8 xx 10^(3) xx 10) = 10^(4)m = 10 km`
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