Home
Class 12
PHYSICS
A metal rod has length L, radius of its ...

A metal rod has length L, radius of its cross-section r. Youngs modulus Y and thermal coefficient of linear expansion is α.It is clamped between two rigid supports with negligible tension. If its temperature is increased by `T^@C`, then force exerted by the rod on any of the supports is

A

`2π^2YT`

B

`2πr^2YαT`

C

`πr^2YLT`

D

`πr^2YαT`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Similar Questions

Explore conceptually related problems

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

A metal rod of Young's modules Y and coefficient of thermal expansion alpha is held at its two ends such that its length remains constant. If its temperature is raised by t^(@)C , the linear stress developed in it is

A rod of length / and radius r is held between two rigid walls so that it is not allowed to expand. If its temperature is increased, then the force developed in it is proportional to

A metal rod of Young's modulas Y and coefficient of thermal expansion alpha is held at its two ends such that its length remains invariant. If its temperature is raised by t^(@)c , then the linear stress developed in it is

A rod of aluminium is fixed between two rigid support. If the temperature of rod is increased by 10°C , then the thermal stress on the rod is (Take Y= 7×10^10 Pa and alpha =2.4* 10^-5 K^-1 )

A cord of mass m length L, area of cross section A and Young's modulus y is hanging from a ceiling with the help of a rigid support. The elogation developed in the wire due to its own weight is

A flexible metallic wire at temperature 0^(@)C has young's modulus Y, length l coefficient of thermal expansion alpha , volume mass density rho . It is clamped between two rigid supports at a distance l from each other. If it cools down temperature Deltatheta such that a transverse wave can travel through it with speed v. Then

find out the increase in moment of inertia I of a uniform rod (coefficient of linear expansion alpha ) about its perpendicular bisector when its temperature is slightly increased by Delta T.

A metallic rod l cm long, A square cm in cross-section is heated through t^(@)"C" . If Young’s modulus of elasticity of the metal is E and the mean coefficient of linear expansion is alpha per degree celsius, then the compressional force required to prevent the rod from expanding along its length is

Consider three rods of length L_(1), L_(2) and L_(3) espectively joined in series. Each has same cross - sectional area with Young's moduli Y, 2Y and 3Y respectively and thermal coefficients of linear expansion alpha, 2alpha and 3 alpha respectively. They are placed between two rigid fixed walls. The temperature of the whole system is increased and it is found that length of the middle rod does not change with temperature rise. Find the value of (9L_(1))/(L_(3)) .