Mechanical Prop...

Two identical wires of different materials have Young's moduli of elasticity as $$22\times10^{10}N/m^2$$ and $$11\times10^{10}N/m^2$$ respectively. If these are stretched by equal loads then the ratio of extensions produced in them will be:

A spherical ball is compressed by $$0.01$$% when a pressure of $$100 $$ atmosphere is applied on it. Its bulk modulus of elasticity in $$dyne/cm^{2}$$ will be approximately

Two identical wires are suspended from a roof, but one is of copper and other is of iron. Young's modulus of iron is thrice that of copper. The weights to be added on copper and iron wires so that the ends are on the same level must be in the ratio of

For a material $$\sigma=-0.25$$ under an external stress, the longitudinal strain is $$10^{-2}$$. The percentage change in the diameter of the wire is

A wire of density $$9\times10\space kg\space m^{-3}$$ stretched between two clamps $$1\space m$$ apart is subjected to an extension of $$4.9\times10^{-4}\space m$$. If Young's modulus of the wire is $$9\times10^{-4}\space m$$. The lowest frequency of transverse vibrations in the wire is

A steel rod of length l, area of cross section A, Young's modulus E and linear coefficient of expansion a is heated through $$t^{\circ}C$$. The work that can be performed by the rod when heated is

A wire made of the material of Young's modulus $$Y$$ has an stress $$S$$ applied to it. If Poisson's ratio of the wire is $$\sigma$$, the lateral strain is:

Which of the following pairs is not correct?

If a wire is stretched by applying force at one of its ends, then the elastic potential energy density in terms of Young's modulus Y and linear strain $$\alpha$$ will be

A steel girder can bear a load of $$20 tons$$. If the thickness of girder is double, then for the same depression it can bear a load of :