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 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 ?

In the given figure, if the dimensions of the wires are the same and materials are different, Young's modulus is more for :

A thick rope of density 'ρ' and length 'L' is hung from a rigid support. The Young's modulus of the material of rope is 'Y'. The increase in length of the rope due to its own weight is :

For the same cross-sectional area and for a given load, teh ratio of depressions for the beam of a square cross-section and circular cross-section is :

A metal block is experiencing 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)

The bulk modulus of rubber is 9 x 10⁸ N/m². To what depth below the surface of sea should the rubber ball taken as to decrease its volume by 0.1%?

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 wire of density 9 gm/cm³ is stretched and clamped between two clamps distant 100 cm apart by a force which produces an elongation of 0.05 cm in it. If Y = 9 x 10¹¹ dyne/cm² then the minimum frequency of transverse vibrations will be :