Mechanical Prop...

A wire suspended from one end carries a sphere at its other end. The elongation in the wire reduces from $$2 mm$$ to $$1.6 mm$$ on completely immersing the sphere in water. The density of the material of the sphere is

If the force constant of a wire is $$K$$, the work done in increasing the length $$l$$ of the wire by $$l$$ is

A 8m long string of rubber, having density 1.5 x 10$$^{3}$$ kg/m$$^{3}$$ and young's modulus $$5\times10^{6}$$ N/m$$^{2}$$ is suspended from the ceiling of a room. The increase in its length due to its own weight will be (g$$=$$10m/s$$^{2}$$)

Two wires of different materials each of length $$l$$ and cross sectional area ‘$$A$$’ are joined in series to form a composite wire. If their Young’s modulii are $$Y$$ and $$2Y$$, the total elongation produced by applying a force $$F$$ to stretch the composite wire.

A force of $$15N$$ increases the length of a wire by 1mm. The additional force required to increase the length by $$2.5mm$$ in N is

The density of water at the surface of the ocean is $$\rho $$ . If the bulk modulus of water is B, what is the density of ocean water at a depth where the pressure is nP$$_{o}$$ , where P$$_{o}$$ is the atmosphreic pressure:

When a mass is suspended from the end of a wire the top end of which is attached to the roof of the lift, the extension is $$e$$ when the lift is stationary. If the lift moves up with a constant acceleration $$g/2$$, the extension of the wire would be

When a sphere of radius $$2 cm$$ is suspended at the end of a wire, elongation is $$'e$$'. When the same wire is loaded with a sphere of radius $$3cm$$ and made of the same material, the elongation would be :

Two bars $$A$$ and $$B$$ of circular section and of the same volume and made of the same material are subjected to tension. If the diameter of $$A$$ is half that of $$B$$ and if the force supplied to both the rods is the same and is within the elastic limit, the ratio of the extension of $$A$$ to that of $$B$$ will be

The density of a metal at normal pressure is $$\rho$$. It's density when it is subjected to an excess pressure p is $$\rho$$'. If B is the bulk modulus of the metal, the ratio $$\rho $$'/$$\rho$$ is :