Home
Class 11
PHYSICS
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 dimension of cube is

A

10 CM

B

20cm

C

`10sqrt(2) cm`

D

`5 sqrt(2) cm`

Text Solution

Verified by Experts

The correct Answer is:
C
Let l be the side of the cube
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=AxxDeltay xx rho, 1l^(2)=200 rArr l =10sqrt2`
Promotional Banner

Topper's Solved these Questions

  • MECHANICAL PROPERTIES OF FLUIDS

    NARAYNA|Exercise EXERCISE - II (C.W) (EQUATION OF CONTINUITY, BERNOULLI.S THEOREM AND ITS APPLICATIONS)|1 Videos

  • MECHANICAL PROPERTIES OF FLUIDS

    NARAYNA|Exercise EXERCISE - II (C.W) (TORRICELLI.S THEOREM)|7 Videos

  • MECHANICAL PROPERTIES OF FLUIDS

    NARAYNA|Exercise EXERCISE - II (C.W) (PRESSURE AND PASCAL.S LAW)|1 Videos

  • MATHEMATICAL REVIEW & PHYSICAL WORLD

    NARAYNA|Exercise C.U.Q|13 Videos

  • MECHANICAL PROPERTIES OF SOLIDS

    NARAYNA|Exercise LEVEL-II (H.W)|24 Videos

Similar Questions

Explore conceptually related problems

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 cube of wood supporting 200gm mass just floats in water. When the mass is removed, the cube ruses by 2cm. What is the size of the cube?

A cube of wood suppporting a 200 gm mass just floats in water. When the mass is removed the cube rises by 2 cm at equilirbrium. Find side of the cube.

A wooden cube supporting a mass of 100 g just floats in water. On removing the mass from the cube, the cube rises by 4 cm. The side of the cube is

A cube of wood floating in water supports a 200g mass resting at the centre of its top face. When the mass is removed, the cube rises 2 cm. find the volume of the cube.

A cube of wood floating in water supports a 200 g mass at the centre of its top face. When the mass is removed , the mass rises by 2cm. Determine the volume of cube.

A wooden cube floating in water supports a mass 0.2 kg on its top. When the mass is removed the cube rises by 2cm. What is the side legnth of the cube ? Density of water = 10^3 kg//m^3

A wooden cube first floats inside water when a 200 g mass is placed on it. When the mass is removed the cube is 2 cm above water level. The side of cube is

A cube of density 250 kg/ m^2 floats in water, then what part of total volume of the cube outside the water?