Home
Class 11
PHYSICS
A lead bullet has a volume of 2.5 cm^(3)...

A lead bullet has a volume of `2.5 cm^(3) " at " 0^(@)C`. Its volume increases by `0.021cm^(3)` when heated to `98^(@)C`. Find the coefficient of linear expansion of lead.

Text Solution

Verified by Experts

By definition, coefficient of volume expansion of lead, `gamma=(V_(t)-V_(0))/(V_(0)t)`
Given, `V_(t)-V_(0)=0.021 cm^(3), V_(0)=2.5cm^(3) " and " t=98^(@)C`
`therefore " " gamma=0.021/(2.5 times 98)=85.7 times 10^(-6@)C^(-1)`
`therefore` Coefficient of linear expansion of lead,
`alpha=gamma/3=(8.57 times 10^(-6))/3=2.86 times 10^(-6@)C^(-1).`
Promotional Banner

Topper's Solved these Questions

  • EXPANSION OF SOLIDS AND LIQUIDS

    CHHAYA PUBLICATION|Exercise SECTION RELATED QUESTIONS|6 Videos

  • EXPANSION OF SOLIDS AND LIQUIDS

    CHHAYA PUBLICATION|Exercise HIGHGER ORDER THINKING SKILL (HOTS) QUESTIONS|31 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

1 g water has a volume of 1 cm^(3) at 4^(@)C . Its volume at 60^(@)C is 1.0169cm^(3) . Calculate the average coefficient of real expansion of water between these two temperatures.

When the temperature of a 3 m long iron rod is increased from 0^(@)C to 200^(@)C , the rod increases in length by 7.2 mm. Determine the coefficient of linear expansion of iron.

A brass rod has a length of 150 cm at 40^(@)C . What will be its length at 100^(@)C ? The coefficient of linear expansion of brass is 18 times 10^(-6@)C^(-1) .

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.

When the temperature of a metallic sphere is increased by 40^(@)C then its volume increases by 0.24%. Coefficient of linear expansion of the metal in ""^(@)C^(-1) is

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).

The lengths of a copper rod are 200.166 cm and 200.664 cm at 50^(@)C and 200^(@)C respectively. What is the coefficient of linear expansion of copper?

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) .