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A hollow sphere of mass M and radius r i...

A hollow sphere of mass M and radius r is immersed in a tank of water (denstiy `rho_(w)`). The sphere would float if it were set free. The sphere is tied to the bottom of the tank by two wires which makes angle `45^(@)` with the horizontal as shown in the figure. The tension `T_(1)` in the wire is :

A

`((4)/(3)pi R^(3)rho_(w)g-Mg)/(sqrt2)`

B

`(2)/(3)piR^(3) rho_(w)g-Mg`

C

`((4)/(3)piR^(3)rho_(w)g-Mg)/(2)`

D

`(4)/(3)piR^(3)rho_(w)g=Mg`

Text Solution

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The correct Answer is:
A
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