An aluminium rod of Young's modulus 7.0 x 10⁹ N/m² has a breaking strain of 0.2%. The minimum cross-sectional area of the rod in m² in order to support a load of 10⁴ newton is :

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 :

The Poisson's ratio for a material is 0.1. If the longitudinal strain of a rod of this material is 1 x 10^-3, then the percentage change in the volume of rod will be :

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 :

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

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 volume of a solid rubber ball when it is carried from the surface to the bottom of a 200 m deep lake decreases by 0.1%. The value for bulk modulus of elasticity for rubber will be :

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 :

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

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 ?