Mechanical Prop...

What is the density of lead under a pressure of $$2.0\times 10^{8} N/m^{2}$$ , if the bulk modulus of lead is $$8.0\times10^{9} N/m^{2}$$. Also, the initial density of lead is $$11.4 g/cm$$$$^{3}$$.

Three blocks, each of same mass $$m$$, are connected with wire $$W_{1}$$ and $$W_{2}$$ of same cross sectional area 'a' and Young's modulus Y. Neglecting friction, the strain developed in wire $$W_{2}$$ is

A thin rod of negligible mass and cross-sectional area $$4\times 10$$$$^{-6}m^{2}$$ , suspended vertically from one end, has a length of  0.5 m at 100$$^{o}$$C . The rod is cooled to 0$$^{o}$$C .Young's modulus $$=$$ 10$$^{11}$$Nm$$^{-2}$$, coefficient of linear expansion $$=$$ 10$$^{-5}$$K$$^{-1}$$ and g $$=10\ ms^{-2}$$. The total energy stored in the rod is :

A stone of $$0.5 kg$$ mass is attached to one end of a $$0.8 m$$ long aluminium wire of $$0.7 mm$$ diameter and suspended vertically. The stone is now rotated in a horizontal plane at a rate such that wire makes an angle of 85$$^{o}$$ with the vertical. If Y $$=$$ 7x10$$^{10}$$ Nm$$^{-2}$$ , sin 85$$^{o}=$$  0.9962 and cos85$$^{o}=$$  0.0872 , the increase in length of wire is

A wire of radius $$r$$, Youngs modulus $$Y$$ and length $$l$$ is hung from a fixed point and supports a heavy metal cylinder of volume $$V$$ at its lower end. The change in length of wire when cylinder is immersed in a liquid of density $$\rho $$ is in fact

One end of a string of length L and cross-sectional area A is fixed to a support and the other end is fixed to a bob of mass m. The bob is revolved in a horizontal circle of radius r, with an angular velocity $$\omega $$, such that the string makes an angle $$\theta $$ with the vertical. The increase $$\Delta L$$ in length of the string is

One end of a string of length $$L$$ and cross-sectional area $$A$$ is fixed to a support and the other end is fixed to a bob of mass $$m$$. The bob is revolved in a horizontal circle of radius $$r$$ with an angular velocity $$\omega $$ such that the string makes an angle $$\theta $$ with the vertical. The stress in the string is :

In Young's double slit experiment, the two equally bright slits are coherent, but of phase difference  $$\dfrac{\pi}{3}$$ .If maximum intensity on the screen is$$I_0$$, the intensity at the point on the screen equidistant from the slits is____?

Two blocks of masses $$m$$ and $$M $$ = $$ 2m$$ are connected by means of a metal wire of cross sectional area A, passing over a frictionless fixed pulley as shown in figure. The system is then released.
The stress produced in the wire is :

The average depth of Indian Ocean is about 3000 m. Calculate the fractional compression,$$\frac{\Delta V}{V}$$ of water at the bottom of the ocean, given that the bulk modulus of water is $$2.2 \times 10^9Nm^{-2}$$ (consider $$g=10  ms^{-2}$$)