Mechanical Prop...

The length of an iron wire is $$L$$ and area of cross-section is $$A$$. The increase in length is $$l$$ on applying the force $$F$$ on its two ends. Which of the statement is correct?

From a steel wire of density $$\rho$$ is suspended a brass block of density $$\rho_b$$. The extension of steel wire comes to $$e$$. If the brass block is now fully immersed in a liquid of density $$\rho_{\gamma}$$ the extension becomes $$e'$$. The ratio $$\dfrac{e}{e^{'}}$$ will be 

If a rubber ball is taken at the depth of $$200m$$ in a pool, its voulme decreases by $$0.1\%$$. If the density of the water is $$1\times 10^3kg/m^3$$ and $$g=10m/s^2$$, then the volume elasticity in $$N/m^2$$ will be

A cube at temperature $$0^oC$$ is compressed equally from all sides by an external pressure $$P$$. By what amount should its temperature be raised to bring it back to the size it had before the external pressure was applied. The bulk modulus of the material of the cube is $$B$$ and the coefficient of linear expansion is $$\alpha$$.

$$A$$ and $$B$$ are two wires. The radius of $$A$$ is twice that of $$B$$. They are stretched by the same load. Then the stress on $$B$$ is 

When a pressure of $$100$$ atmosphere is applied on a spherical ball, then its volume reduces to $$0.01\%$$. The bulk modulus of the material of the rubber in $$dyne/cm^2$$ is :

A rubber cord catapult has cross-section area $$25mm^2$$ and initial length of rubber cord is $$10cm$$. It is stretched to $$5cm$$ and then released to project a missile of mass $$5gm$$. Taking, $$Y_{rubber}=5\times 10^8N/m^2$$, velocity of projected missile is 

Two wire $$A$$ and $$B$$ are of the same material. Their lengths are in the ratio of $$1:2$$ and the diameter are in the ratio $$2:1$$. If they are pulled by the same force, then increase in length will be in the ratio of 

When a $$4kg$$ mass is hung vertically on a light spring that obeys Hooke's law, the spring stretches by $$2cms$$. The work required to be done by an external agent in stretching this spring by $$5cms$$ will be $$(g=9.8m/sec^2)$$

A mass m is suspended from a wire. Change in length of the wire is $$\Delta l$$. Now the same wire is stretched to double its length and the same mass is suspended from the wire. The change in length in this case will become (it is assumed that elongation in the wire is within the proportional limit)