Home
Class 11
PHYSICS
A container has a square cross-section o...

A container has a square cross-section of `10 cm xx 10 cm`. A cubical ice block of side length 6 cm is floating in water in the container. Water level in the container is 6 cm high. The ice block is at a temperature of `0^(@)C` and the water is at `16.15^(@)C`. Assume that heat exchange take place between the ice block and water only. What length of ice block will remain submerged in water when the system reaches thermal equilibrium? Assume that the ice block maintains its cubical shape as it melts. Take - density of ice `= 0.9 g//c c`, density of water = `1.0 g//c c`
Specific heat capacity of water `= 1 cal g^(-1) .^(@)C^(-1)`, Specific latent heat of fusion of ice `= 80 cal g^(-1)`

Text Solution

Verified by Experts

The correct Answer is:
`4.5 cm`
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

A piece of ice is floating in a jar containing water. What will be the effect on the level of water in jar, when ice melts and the temperature of water falls from 4^(@)C to 1^(@)C .

A cubical ice block of side length 'a' is floating in water in a beaker. Find the change in height of the centre of mass of (water+ice) system when the ice block melts completely. It is given that ratio of mass of water to mass of ice originally in the containe is 4:1.

Knowledge Check

  • A piece of ice is floating in a beaker containing water. When whole of the ice melts

    A
    the level of water will come down
    B
    the level of water will come up.
    C
    the level of water will first rise and then fall.
    D
    the level of water will remain the same.

  • A 5 g piece of ice at -20^@C is put into 10 g of water at 30^@C . Assuming that heat is exchanged only between the ice and water. The final temperature of the mixture.

    A
    `10^@C`
    B
    `20^@C`
    C
    `0^@C`
    D
    `15^@C`

  • A block of ice is floating in a glass containing water .When the ice melts completely ,the level of the water in the glass will :

    A
    rise
    B
    fall
    C
    not change
    D
    none of these

    • Similar Questions

    Explore conceptually related problems

    There is a metal cube inside a block of ice which is floating on the surface of water. The ice melts completely and metal falls in the water. Water level in the container

    A piece of ice is floating in a jar containing water. When the ice melts, then the level of water

    A piece of ice is floating in a jar containing water. When the ice melts, then the level of water

    A piece of ice is floating in water at 4°C in a beaker, when the ice melts completely, the water level in the beaker will : rise

    A cube of ice of side length 10 cm is floating in water of density 1000 kg//m^(3) . Then pick up the correct statement (density of ice = 900 kg//m^(3) )

    Home
    Profile