A hollow sphere of mass `M = 50 kg` and radius `r=(3/(40pi))^(1//3)m` is immersed in a tank of water (density `rho_(w)=10^(3)kg//m^(3)`). The sphere is tied to the bottom of a tank by two wires `A` and `B` as shown. Tension in wire `A` is `(g = 10 m//s^(2))`

Options

A. `125sqrt(2)N`
B. `125N`
C. `250sqrt(2)N`
D. `250N`

Answer

C

Explanation

`T_(1)=T_(2), Mg+sqrt(2)T_(1)=4/3pir^(3)rho_(w)gT_(1)=250sqrt(2)N`