When a compressible wave is sent towards bottom of sea from a stationary ship it is observed that its echo is hear after `2s`. If bulk modulus of elasticity of water is `2xx10^(9)N//m^(2)`, mean temperature of water is `4^(@)` and mean density of water is `1000kg//m^(3)`, then depth of sea will be

Options

A. 707 m
B. 1414 m
C. 2828 m
D. `2000 xx 10^(3) m`

Answer

B

Explanation

`v = (2x)/(t)`
`2x = v t = sqrt((k)/(rho))t`
`2x = sqrt((2 xx 10^(9))/(10^(3)) xx 2`
`x = sqrt2 xx 10^(3) = 1.414 xx 10^(3)`
`x = 1414 m`