Home
Class 11
PHYSICS
A circular hole of diameter 2.00 cm is m...

A circular hole of diameter 2.00 cm is made in an aluminum ate at `0^@C`. What will be the diameter at `100^@C`? Alpha for aluminium `=2.3 xx 10^(-5) C^(-1)`.

Text Solution

Verified by Experts

`D_1=2cm =2xx 10^-2m`, d_2=?`
`t_1 = 0 ^0C, t_2= 100^@C ` V ` alpha al = 2.3 xx 10^-5 /^0C `
`:.d_2=d_1 (1+alpha Delta t)`
`=2xx10^-2(1+2.3xx 10^-5xx 10^2)`
`= 2 xx 10^-2( 1+2.3 xx 10^-3)`
`=2xx 10^-2+2.3xx 2xx 10^-5 `
`= 0.02+0.000046`
`=0.020046m~~ 2.0046cm `
Promotional Banner

Similar Questions

Explore conceptually related problems

The power of a heater is 500W at 800^(@)C . What will be its power at 200^(@)C it alpha=4xx10^(-4) per .^(@)C ?

A metallic cylinder of diameter 5cm. And height 3(1)/(3) cm is melted and cast into a sphere. What is its diameter.

What should be the lengths of a brass and an aluminium rod at 0^(@) . if the difference between their lengths is to be maintained equal to 5 cm at any temperature ? (For brass alpha=18xx10^(-6)""^(@)C^(-1) and for aluminium alpha=24xx10^(-6)" "^(@)C^(-1) )

How much heat should be given to an Aluminium sphere of 200 g to carry it from 26^(@)C to 66^(@)C temperature ? What will be the heat capacity of the Aluminium sphere ? C=0.215" cal g"^(-1)C^(0-1)

An aluminium sphere of 20cm diameter is heated from 0^(@)C to 100^(@)C . Its volume changes by (given that the coefficient of linear expanison for aluminium (alpha_(Al) = 23 xx 10^(-6//0)C)

A hole is drilled in a copper sheet. The diameter of the hole is 4.24 " cm at " 27.0 ^(@) C . What is the change in the diameter of the hole when the sheet is heated to 227^(@) C ? Coefficient of Imear expansion of copper = 1.70 xx 10^(-5) K^(-1) .

At 20^(@)C a liquid is filled upto 10 cm height in a container of glass of length 20 cm and cross-sectional area 100 cm^(2) . Scale is marked on the surface of container. This scale gives correct reading at 20^(@)C . Given gamma_(L) = 5 xx 10 ^(-5) k^(-1) , alpha^(g) = 1 xx 10^(-5) "^(@)C^(-1) The actual height of liquid at 40^(@)C is -

At 20^(@)C a liquid is filled upto 10 cm height in a container of glass of length 20 cm and cross-sectional area 100 cm^(2) . Scale is marked on the surface of container. This scale gives correct reading at 20^(@)C . Given gamma_(L) = 5 xx 10 ^(-5) k^(-1) , alpha^(g) = 1 xx 10^(-5) "^(@)C^(-1) The actual volume of liquid at 40^(@)C is -

A copper rod of 88cm and an aluminimum rod of unknown length have their increase in length independent of increase in temperature. The length of aluminium rod is: (alpha_(Cu) =1.7 xx 10^(-5) K^(-1) and alpha_(Al)= 2.2 xx 10^(-5) K^(-1))

An object of mass 5 kg is suspended by a copper wire of length 2 m and diameter 5 mm. Calculate the increase in the length of the wire. In order not to exceed the elastic limit, what should be the minimum diameter of the wire ? For copper, elastic limit =1.5 xx 10 ^(9) "dyne" //cm ^(2) , (Y) = 1.1 xx 10 ^(12) "dyne"//cm^(2).