A block of silver of mass 4 kg haning from a string is immersed in a liquid of relative density 0.72. If releative density of silver is 10, then tension in the string will be (take `g = 10 m//s^(2)`)

Options

A. 37.12 N
B. 42 N
C. 73 N
D. 21 N

Answer

A

Explanation

Let `rho_(S),rho_(L)` be the density of silver and liquid Also m and V be the mass and volume of silver block
`:.` Tension in string = mg - bouyant
force
`T = rho_(S) Vg - rho_(L) Vg = (rho_(S) - rho_(L))Vg`
Also `V = (m)/(rho s)`
`:. T = ((rhoS- rhos)/(rhos))mg`
`=((10-0.72)xx10^(3))/(10 xx 10^(3))xx 4 xx 10=37.12 N`