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A cube of wood supporting 200 g mass jus...

A cube of wood supporting 200 g mass just floats in water. When the mass is removed, the cube rises by 1 cm, the linear dimesion of cube is

A

10 cm

B

20 cm

C

`10sqrt(2)cm`

D

`5sqrt(2)cm`

Text Solution

Verified by Experts

The correct Answer is:
C
Let `l` be the side of the tube.
Volume of the cube outside `=` volume of water displaced due to mass.
Water displaced is 200 gm and its volume is 200 `cm^(3)`
`m=AxxDeltayxxrho,1l^(2)=200impliesl=10sqrt(2)`
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