A metal rod of length l, cross-sectional...

A metal rod of length l, cross-sectional area A, Young's modulus Y and coefficient of linear expansion `alpha` is heated to `t^(@)C`. The work that can be performed by the rod when heated is

`(YAalphat)xx(lalphat)`

`1/2(YAalphat)xx(lalphat)`

`1/2(YAalphat)xx1/2(lalphat)`

`2(YAalphat)xx(lalphat)`

Text Solution

Verified by Experts

The correct Answer is:

Topper's Solved these Questions

ELASTICITY AND WAVES
FIITJEE|Exercise Assignment Problems (Objective) Level-II|15 Videos
ELASTICITY AND WAVES
FIITJEE|Exercise Assignment Problems (Subjective) Level-II & III|15 Videos
CURRENT ELECTRICITY
FIITJEE|Exercise Comprehension -4|3 Videos
ELECTROMAGNETIC INDUCTION
FIITJEE|Exercise EXERCISE|9 Videos

Similar Questions

Explore conceptually related problems

A metal rod of length l, cross-sectional area A, Youngs modulus Y and coefficient of linear expansion alpha is heated to t^(@)C . The work that can be performed by the rod when heated is

A metal rod of length 'L', cross-sectional area 'A', Young's modulus 'Y' and coefficient of linear expansion 'alpha' is heated to 't'^(@)C . The work that can be perfomred by the rod when heated is

A metallic rod of length 'L' and cross-section 'A' has Young's modulus 'Y' and coefficent of linear expansion 'alpha' . If the rod is heated to a temperature. 'T' the energy stored per unit volume is:

A metal bar of length L and area of cross-section A is clamped between two rigid supports. For the material of the rod. It Young's modulus is T and Coefficient if linear expansion is alpha . If the temperature of the rod is increased by Deltat^(@)C , the force exerted by the rod on the supports is

A metal wire of length L, area of cross-section A and Young's modulus Y behaves as a spring of spring constant k.

A rod of length l and coefficient of linear expansion alpha . Find increase in length when temperature changes from T to T+ DeltaT

A metallic rod of length l and cross-sectional area A is made of a material of Young's modulus Y. If the rod is elongated by an amount y,then the work done is proportional to

FIITJEE-ELASTICITY AND WAVES -Assignment Problems (Objective) Level-I

A spherical ball contracts in volume by 0.01% when subjected to a norm...
Text Solution
|
If a gas is heated at constant pressure, its isothermal compressibilit...
Text Solution
|
A beam of metal supported at the two edges is loaded at the centre. Th...
Text Solution
|
When metal wire is stretched by a load the fectional change in its vol...
Text Solution
|
The length of a metal wire is l(1) when the tension in it is T(1) and ...
Text Solution
|
A uniform pressure P is exerted on all sides of a solid cube at temper...
Text Solution
|
A steel wire is suspended vertically from a rigid support. When loaded...
Text Solution
|
A metal rod of length l, cross-sectional area A, Young's modulus Y and...
Text Solution
|
The Young's modulus of brass and steel are respectively 1.0xx10^(11)N/...
Text Solution
|
A wire of uniform cross-sectional area A and young's modulus Y is stre...
Text Solution
|
Inside a gas, sound transmission is possible for
Text Solution
|
One end of a uniform wire of length L and weight W is attached rigidly...
Text Solution
|
The displacement y of a particle executing periodic motion is given by...
Text Solution
|
A given quantity of a ideal gas is at pressure P and absolute tempera...
Text Solution
|
One end of a long mettalic wire of length L is tied to the ceiling. T...
Text Solution
|
Waves traveling in same medium having equations: y(1)=Asin(lamdat-beta...
Text Solution
|
A sonometer wire resonates with a given tuning fork forming a standing...
Text Solution
|
The ratio of the speed of sound in nitrogen gas to that in helium gas,...
Text Solution
|
Statement-1: Speed of sound is maximum in solids and minimum in gases....
Text Solution
|
Assertion : To hear distinct be beats, difference in frequencies of tw...
Text Solution
|