Two rods of different materials having coefficients of linear expansion α₁ and α₂ , Young's modulii Y₁ and Y₂ respectively are fixed between two rigid massive walls. The rods are heated such that they undergo the same increase in temperature. There is no bending of rods. If α₁ : α₂ =2 : 3, the thermal stresses developed in the two rods are equal provided Y₁ : Y₂ is equal to :

A uniform elastic plank moves due to a constant force F placed over a smooth surface. The area of end face is S and Young's modulus of the material is E. What is the average strain produced in the direction of the force?

The Young's modulus of a wire is Y. If the energy per unit volume is E, then the strain will be :

The magnitude of the force developed by raising the temperature from 0^oC to 100^oC of the iron bar 1.00 m long and 1 cm² cross-section when it is held so that it is not permitted to expand or bend is :

(Given : α = 10^-5 /^oC and Y = 10¹¹ N/m²)

A steel wire of uniform cross-section of 2 mm² is heated upto 50^oC and clamped rigidly at two ends. If the temperature of wire falls to 30^oC then change in tension in the wire will be :

(Given :  Coefficient of linear expansion of steel is 1.1 x 10^-5°C and Young's modulus of elasticity of steel is 2 x 10¹¹N/m²)

The upper end of a wire, 1 m long and 4 mm radius, is clamped. The lower end is twisted by an angle of 30^o. The angle of shear at the surface is :

The length of an iron wire is L and area of cross-section is A. The increase in length is l on applying the force F on its two ends. Which of the statement is correct ?

A bridge can bear 4 x 10⁴ kg weight. If the breaking stress is 47 x 10³ N/m³ and factor of safety is 5 then the area of cross section of the rod will be : 

A metal block is experencing an atmospheric pressure of 10⁵ N/m². When the same block is placed in a vaccum chamber, the fractional change in its volume : (the bulk modulus of metal is 1.25 x 10¹¹ N/m²)