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 : 

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 :

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 :

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?

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 :

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)

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

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 :

Young's modulus of the material of a wire of length L and radius r is Y N/m². If the length is reduced to ^L/₂ and radius to ^r/₂, the Young's modulus will be :

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%?