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A hollow sphere of mass M = 50 kg and ra...

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))`

A

`125sqrt(2)N`

B

`125N`

C

`250sqrt(2)N`

D

`250N`

Text Solution

Verified by Experts

The correct Answer is:
C
`T_(1)=T_(2), Mg+sqrt(2)T_(1)=4/3pir^(3)rho_(w)gT_(1)=250sqrt(2)N`
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