Home
Class 11
PHYSICS
A solid body floats in a liquid at 50^(@...

A solid body floats in a liquid at `50^(@)C`, being completely submerged in it. What fraction of the volume of the body would be submerged when it is cooled to `0^(@)C`? The coefficient of volume expansion for the solid is `0.3 times 10^(-5)K^(-1)` and that of the liquid is `8.0 times 10^(-5)K^(-1)`.

Text Solution

Verified by Experts

The correct Answer is:
0.997
Promotional Banner

Topper's Solved these Questions

  • EXPANSION OF SOLIDS AND LIQUIDS

    CHHAYA PUBLICATION|Exercise EXERCISE - HOST NUMERICAL PROBLEMS|6 Videos

  • EXPANSION OF SOLIDS AND LIQUIDS

    CHHAYA PUBLICATION|Exercise ENTRANCE CORNER - ASSERTION-REASON TYPE|5 Videos

  • EXPANSION OF SOLIDS AND LIQUIDS

    CHHAYA PUBLICATION|Exercise EXERCISE - PROBLEM SET - I|17 Videos

  • EXPANSION OF GASES

    CHHAYA PUBLICATION|Exercise CBSE Scanner|1 Videos

  • FIRST AND SECOND LAW OF THERMODYNAMICS

    CHHAYA PUBLICATION|Exercise CBSE SCANNER|18 Videos

Similar Questions

Explore conceptually related problems

The volume of a metal sphere increases by 0.24% when its temperature is raised by 40^(@)C . The coefficient of linear expansion of the metal is n times 10^(-5@)C^(-1) . Find the value of n.

A rectangular copper block measures 20cm times 12cm times 3cm . What will be the change in volume of the block when it is heated from 0^(@)C " to " 800^(@)C ? Coefficient of linear expansion of copper is 0.16 times 10^(-4@)C^(-1) .

A brass rod of length 50 cm and diameter 3.0 mm is joined to a steel rod of the same length and diameter. What is the change in length of the combined rod at 250^(@)C , if the original lengths are at 40.0^(@)C ? The ends of the rod are free to expand (coefficient of linear expansion of brass =2.0 times 10^(-5)K^(-1) , steel =1.2 times 10^(-5)K^(-1) ).

A barometer with a brass scale reads 75.34 cm at 25^(@)C . The scale was graduated at 20^(@)C. What will be the reading of the barometer at 0^(@)C ? Coefficient of linear expansion alpha for brass =18 times 10^(-6@)C^(-1) and coefficient of linear expansion gamma for mercury =18 times 10^(-5@)C^(-1).

A solid shell loses half of its weight in water. Relative density of shell is 5.0. What fraction of its volume is hollow?

A body, at 4^(@)C, floats with 0.98 part of its volume immersed in water. At what temperature the body will just immerse in water? Coefficient of real expansion of water =3.3 times 10^(-4@)C^(-1). Neglect expansion of the solid body.

The length of a zinc rod, when heated from 20^(@)C " to " 80^(@)C , increase by 0.6 cm. If the coefficient of linear expansion of zinc is 27 times 10^(-6@)C^(-1) , what is the initial length of the rod?