Mechanical Prop...

The dimensions of two wires $$A$$ and $$B$$ are the same. But their materials are different, Their load- extension graphs are shown. If $$Y_{A}$$ and $$Y_{B}$$ are the values of Young's modulus of elasticity of $$A$$ and $$B$$ respectively then :

The diameter of a brass rod is 4 mm and Young's modulus of brass is $$9\times 10^{10}N/m^{2}$$. The force required to stretch by 0.1% of its length is :-

Two wires of the same material and length but diameters in ratio $$1:2$$ are stretched by the same force. The potential energy per unit volume for the two wires when stretched will be in the ratio :-

The Young's modulus of a rubber string $$8\  cm$$ long and density $$1.5\ kg/m^ {3}$$ is $$5\times 10^{8}N/m^{2},$$ is suspending on the ceiling in a room. The increase in the length due to its own weight will be:

On increasing the length by $$0.5 mm$$ in a steel wire of length $$2 m$$ and area of cross-section $$2\:cm^{2}$$, the force required is [$$Y$$ for steel $$=2.2\times 10^{11}N/m^{2}$$]:

A brass rod of cross-sectional area $$1\:cm^{2}$$ and length $$0.2 m$$ is compressed lengthwise by a weight of $$5 $$kg. If Young's modulus of elasticity of brass is $$1\times 10^{11}N/m^{2}$$ and $$g=10\:m/s^{2}$$, then increase in the energy of the rod will be :

An increase in pressure required to decreases the $$100\  liters$$ volume of a liquid by $$0.004$$% in container is: (Bulk modulus of the liquid $$=2100\:MPa$$):

A ball falling in a lake of depth 200 m show 0.1% decrease in its volume at the bottom. What is the bulk modulus of the material of the ball:-

A steel wire $$1.5 m$$ long and of radius $$1 mm$$ is attached with a load $$3 kg$$ at one end the other end of the wire is fixed it is whirled in a vertical circle with a frequency $$2Hz$$. Find the elongation of the wire when the weight is at the lowest position:
($$Y=2\times 10^{11}N/m^{2}$$ and $$g=10\:m/s^{2}$$)

There is no change in the volume of a wire due to change in its length on stretching. The Poisson's  ratio of the material of the wire is :