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A wooden block or mass m and density rho...

A wooden block or mass m and density `rho` is tied to a string, the other end of the string is fixed to bottom of a tank. The tank is filled with a liquid of density `sigma` with `sigmagtrho`. The tension in the string will be

A

`((sigma-rho)/(sigma))mg`

B

`((sigma-rho)/(rho))mg`

C

`(rhomg)/(sigma)`

D

`(sigmamg)/(rho)`

Text Solution

Verified by Experts

(b) From free body diagram of the wooden block,
`Vsigmag=mg+T` [V is volume of block]

`T=Vsigma-mg`
`T=(m)/(rho)sigma-mg=mg((sigma-rho)/(rho))`
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