Home
Class 11
PHYSICS
A sheet of brass 50 cm long and 8cm broa...

A sheet of brass 50 cm long and 8cm broad at `0^@C`. If the surface area at `100^@C` is `401.57cm^2`, find the coefficient of linear expansion of brass

Text Solution

Verified by Experts

Given
` T_1 =0^@C `
` T_2 = 100^@ C`
` A_1 = 50 xx 8 = 400 cm^2`
` A_1 = 50 xx 8 = 400 cm^2`
` A_2 = 401 .57 cm^2`
we have
` beta = 2 alpha = (A_2 -A_1)/(A_1 (T_2 -T_1))`
` =( (401.57 -400) cm^2)/( 400 cm^2 xx (100 -0)^@ C )`
` = ( 1.57 )/(400 xx 100) = 0.3925 xx 10^(-4) ""^(@)C^(-1)`
` therefore alpha = 0.1962 xx 10^(-4) ""^(@) C^(-1)`
`= 1.962 xx 10^(-5) ""^(@)C^(-1)`
` therefore ` Coeffcient of linear expansion of brass is `1.962 xx 10^(-5) //^(@) C.`
Promotional Banner

Similar Questions

Explore conceptually related problems

The length of an iron rod at 100^@C is 300.36 cm and at 150^@C it is 300.54 cm. find the coefficient of linear expansion of its material and the length of rod at 0^@C .

Solve the following problems : A silver square sheet of length 10 cm is heated from temperature 20 ⁰C to 70 ⁰C . If the change in ita area is 0.18 cm^2 , then find the coefficient of areal expansion of silver .

Total surface area of a cube is 216 cm^2. Find its volume.

The length of a metal rod at 27^@ C is 4 cm. The length increases to 4.02 cm when the metal rod is heated upto 387^@ C . Determine the coefficient of linear expansion of the metal rod.

Find the surface area of sphere of radius 7 cm.

Answer the following : An aluminium sheet of area 0.1 m^2 , initially at temperature 30 ⁰C is heated such that it reaches the temperature of 70 ⁰C . If the coefficient of areal expansion of aluminium is 46.2 x 10^-6 (1/⁰C) , find the change in area of the sheet .

Find the surface area of a sphere of radius 3.5 cm.

A metal block of mass 10 kg is kept on a table. If the contact surface area is 100 cm^2 . Find the pressure on the table.

For a sphere, surface area is 154 sq.cm. Find its volume.