Mechanical Prop...

The bulk modulus of rubber is $$9.8\times 10^{8}N/m^{2}$$. To what depth a rubber ball be taken in a lake so that its volume is decreased by $$0.1$$% ?

When a force is applied on a wire of uniform cross-sectional area $$3\times 10^{-6}m^{2}$$ and length $$4 m$$, the increase in length is $$1\ mm$$. Energy stored in it will be ($$Y=2\times 10^{11}N/m^{2}$$):

If the potential energy of a spring is V on stretching it by 2 cm then its potential energy when it is stretched by 10 cm will be

If the ratio of lengths, radii and Youngs modulii of steel and brass wires in the figure are a, b and c respectively. Then the corresponding ratio of increase in their lengths would be:

Copper wire of length $$3m$$ and area of cross-section $$1\:mm^{2}$$, passes through an arrangement of two frictionless pulleys, $$P_{1}$$ and $$P_{2}$$. One end of the wire is rigidly clamped and a mass of $$1 kg$$ is hanged from the other end. If Young's modulus for copper is $$10\times 10^{10}N/m^{2}$$, the elongation in the wire is :

The diameter of a brass rod is $$4mm$$ and Youngs modulus of brass is $$\displaystyle 9\times 10^{10}N/m^{2}$$ The force required to stretch it by $$0.1\%$$ of its length is

The graph showing the extension of is wire of length 1 m suspended from the top of a roof at one end and with a load W connected to the other end. of the cross-sectional area of the wire is $$1{mm}^{2}$$, then the Young's modulus of the material  of the wire .( In graph, X-axis 1 unit =  10mm)  .

A metal block is experiencing an atmospheric pressure of $$\displaystyle 1\times 10^{5}N/m^{2}$$ when the same block is placed in a vaccum chamber the fractional change in its volume is (the bulk modulus of metal is $$\displaystyle 1.25\times 10^{11}N/m^{2}$$) 

Two wires of equal length and cross section area suspended as shown in figure. Their Youngs modulus are $$\displaystyle Y_{1}\: \: and\: \: Y_{2}$$ respectively The equivalent Youngs modulus will be 

A force F is needed to break a copper wire having radius R The force needed to break a copper wire of radius 2R will be