A metal rope of density 6000`kg//m^(3)` has a breaking stress `9.8xx10^(8)N//m^(2)`. This rope is used to measure the depth of the sea. Then the depth of the sea that can be measured without breaking is

Options

A. `10xx10^(3)m`
B. `16.66xx10^(3)m`
C. `30xx10^(3)m`
D. `40xx10^(-3)m`

Answer

B

Explanation

Breaking stress `=rho L g`
`L=("Breakling stress")/(rho g)`
`=(9.8xx10^(8))/(6xx10^(3) xx 9.8)=(10^(5))/(6)`
`=0.166xx10^(5)`
`L= 16.66xx10^(3)m`.