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. ` 125 sqrt 2 N `
B. ` 125 N `
C. ` 250 sqrt2 N `
D. ` 250 N `

Answer

C

Explanation

Net force = 0 , ` Mg + 2T cos 45 ^@ = V rho g `
` 50 g + 2 T xx (1)/(sqrt2 ) = (4)/(3) pi ( 3 ) /( 40 pi ) rho g , sqrt 2 T = 1000 - 500 rArr T = 250 sqrt 2 N`