As a result of temperature rise of 32^(@...

As a result of temperature rise of `32^(@)C` a bar with a crack at its centre buckles upwards. If the fixed distance be `L_(0)=4.0m` and the temperature coefficient of linear expansion be `alpha=25xx10^(-6)//C^(@)`, find the distance `x` by which the centre rises.

Text Solution

Verified by Experts

The correct Answer is:

`8cm`

Topper's Solved these Questions

ERRORS AND THEIR MEASUREMENTS
NN GHOSH|Exercise EXERCISES|17 Videos
FIRST LAW OF THERMODYNAMICS
NN GHOSH|Exercise All Questions|39 Videos

Similar Questions

Explore conceptually related problems

As a result of temp rise of 32^(@)C , a bar with a crack at its centre buckless upward. If the fixed distance l_(0) is 4m , and coefficeient of linear expansion of bar in 25 xx 10^(-5)'^(@)C^(-1) . Find the rise x (in cm) of the centre.

As a result of a temperature rise of 64^@C , a bar with a crack at centre buckles upward (Fig . 18-20 ). The fixed distance L_0 is 3.77 m and the coefficient of linear expansion of the bar is Find the rise 25 xx 10^(-6)//""^@C of the centre .

The coefficient of linear expansion of a metal rod is 12 xx 10^(-6//0)C , its value in per ^(0)F

A pendulum clock keeps correct time at 0^(@)C . Its mean coefficient of linear expansions is alpha//.^(@)C , then the loss in seconds per day by the clock if the temperature rises by t^(@)C is

A cube of edge (L) and coefficient of linear expansion (alpha) is heated by 1^(0)C . Its surface area increases by

A uniform metal rod is used as a bar pendulum. If the room temperature rises by 10^(@)C , and the coefficient of linear expansion of the metal of the rod is 2 xx 10^(-6) per^(@)C , the period of the pendulum will have percentage increase of

An iron sphere of radius 10 cm is at temperature , 10^(@)C . If the sphere is heated upto temperature 110^(@)C , find the change in the volume of the sphere coefficient of linear expansion of iron = 11 xx 10^(-6) .^(@)C^(-1)

An iron sphere has a radius 8 cm at a temperature of 0^(@)C . Calculate the change in volume of the sphere if is temperature is raised to 80^(@)C . Coefficient of liner expansion of iron =11xx10^(-6) .^(@)C^(-1) .

NN GHOSH-EXPANSION OF SOLIDS-All Questions

A certain property eta varies according to the law eta=(alpha(t-t(0)))...
Text Solution
|
A circular hole in an aluminium plate is 2.50cm at 0^(@)C. What is its...
Text Solution
|
A steel metere scale isto be ruled so that the millimetre intervals ar...
Text Solution
|
A weight thermometer contains 500g of mercury at 0^(@)C. If the temper...
Text Solution
|
A piece of metal weighs 46 g in air and 30 g in lipuid of density 1.24...
Text Solution
|
A vessel of volume V=0.03m^(3) contains an ideal gas at 0^(@)C. After ...
Text Solution
|
A vessel of volume V contains n(1) moles of oxygen and n(2) moles of c...
Text Solution
|
A steel rod is 3.000cm in diameter at 25^(@)C. A brass ring has an int...
Text Solution
|
A circular hole in an aluminium plate has a diameter of 4cm at 0^(@)C....
Text Solution
|
An iron scale is correct at 0^(@)C an at this temperature, a zinc rod ...
Text Solution
|
If a clock with an uncompensated pendulum of steel keeps correct time ...
Text Solution
|
The linear expansivity of glass is 8xx10^(-6)K^(-1) and cubical expans...
Text Solution
|
A glass hydrometer reads 9200 in a liquid at 45^(@)C. What would be th...
Text Solution
|
A vertical cylinder closed at both ends is divided into two parts by a...
Text Solution
|
The pendulum of a clocl beats 1//2 a second at 20^(@)C. By how many se...
Text Solution
|
As a result of temperature rise of 32^(@)C a bar with a crack at its c...
Text Solution
|
A composite bar of length L=L(1)+L(2) is made from a bar of material 1...
Text Solution
|
The coefficient of linear expansion varies linearly from alpha(1) and ...
Text Solution
|