Mechanical Prop...

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

Two wires A and B are of the same materials. Their lengths are in the ratio $$1:2$$ and the diameters are in the ratio $$2:1$$, When stretched by force $$F_A$$ and $$F_B$$ respectively they get equal increase in their lengths. Then the ratio $$\dfrac{F_A}{F_B}$$ should be:

The average depth of Indian ocean is about $$3000\ m$$. The value of fractional compression $$ \dfrac{\Delta V}{V}$$ of water at the bottom of the ocean is:

Let L be the length and d be the diameter of cross-section of a wire. Wires of the same material with different L and d are subjected to the same tension along the length of the wire. In which of the following cases, the extension of wire will be the maximum?

The Poisson's ratio of a material is $$0.5$$. If a force is applied to a wire of this material, there is a decrease in the cross-sectional area by 4%. The percentage increase in the length is :

A uniform aluminium wire of length $$3$$m and area of cross-section $$2$$ $$mm^2$$ is extended through $$12\ mm$$. The energy stored in the wire is ___________. ($$Y_{Al}=7\times 10^{10}N/m^2$$)

The ability of the material to deform without breaking is called :

A ball is falling in a lake of depth $$200 m$$ creates a decrease of $$0.1$$% in its volume at the bottom. The bulk modulus of the material of the ball will be:

A tension of $$22$$ N is applied to a copper wire of cross-sectional area $$0.02\ cm^2$$. Young's modulus of copper is $$1.1\times 10^{11}N/m^2$$ and Poisson's ratio $$0.32$$. The decrease in cross sectional area will be:

A steel wire if $$1\ m$$ long and $$1\ mm^2$$ cross section area is hanged from rigid end when weight of $$1\ kg$$ is hang from it, then change in length will be
(Young's coefficient for wire $$Y=2\times 10^{11}N/m^2)$$