Mechanical Prop...

Young's modulus of rubber is $$10^4$$ N$$/m^2$$ and area of cross-section is $$2$$ $$cm^2$$. If force of $$2\times 10^5$$ dyne is applied along its length, then its final length becomes.

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

A ball falling-in a lake of depth 400 m has a decrease of $$0.2\%$$ in its volume at the bottom. The bulk modulus of the material of the ball is (in $$Nm^-{2}$$)

One end of a uniform bar of weight $$\displaystyle { w }_{ 1 }$$ is suspended from the roof and a weight $$\displaystyle { w }_{ 2 }$$ is suspended from the other end, the area of cross-section is A. What is the stress at the mid point of the rod?

When temperature of a gas is $$20^{\circ}C$$ and pressure is changed from $$p_{1} = 1.01\times 10^{5} Pa$$ to $$p_{2} = 1.165\times 10^{5} Pa$$, the volume changes by $$10\%$$. The bulk modulus is

The Poisson's ratio of a material is $$0.8$$. If a force is applied to a wire of this material decreases its cross-sectional area by $$4\%$$, then the percentage increase in its length will be.

In the shown figure, length of the rod is $$L$$, area of cross-section $$A$$, Young's modulus of the material of the rod is $$Y$$. Then, $$B$$ and $$A$$ is subjected to a tensile force $$F_{A}$$ while force applied at end $$B, F_{B}$$ is lesser than $$F_{A}$$. Total change in length of the rod will be

An aluminium rod (Young's modulus $$= 7\times 10^{9} N/m^{2})$$ has a breaking strain of $$0.2$$%. The minimum cross-sectional area of the rod in order to support a load of $$10^{4}$$ Newton's is:

One end of a long metallic wire of length $$L$$ is tied to the ceiling. The other end is tied to massless spring of spring constant $$k$$. A mass $$m$$ hangs freely from the free end of the spring. The area of cross-section and Young's modulus of the wire are $$A$$ and $$Y$$ respectively. If the mass is slightly pulled down and released, it will oscillate with a time period $$T$$ equal to

A cubical ball is taken to a depth of $$200 m$$ in a sea. The decrease in volume observed to be $$0.1$$%. The bulk modulus of the ball is - $$(g = 10/ m/s^{-2})$$