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A block of wood floats with 1//4 of its ...

A block of wood floats with 1//4 of its volume under water. What is he density of wood? (Density of water `=1000 kg //m^(3))`

A

`750 kg//m^(3)`

B

`250 kg//m^(3)`

C

`300 kg//m^(3)`

D

`260 kg//m^(3)`

Text Solution

Verified by Experts

(b) Let the volume of wood piece is `V_(0)`
The dipped portion of he piece is
`V(V_(0))/(4)`
`:.` For equilibrium of wood piece,
`mg=rhoVg`
or `sigma C_(0)g=(rhoC_(0))/(4)g`
`:. Sigma =(rho)/(4)=("density of water")/(4)`
`=(1000)/(4)=250 kg//m^(3)`
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