The extension of a wire by the application of load is 3 mm. The extension in a wire of the same material and length but half the radius by the same load is -

(1) 12 mm                                 

(2) 0.75 mm

(3) 15 mm

(4) 6 mm

The isothermal elasticity of a gas is equal to

(1) Density                                     

(2) Volume

(3) Pressure                                    

(4) Specific heat

The adiabatic elasticity of a gas is equal to
1. γ × density
2. γ × volume
3. γ × pressure
4. γ × specific heat

The compressibility of water is $4\times {10}^{-5}$ per unit atmospheric pressure. The decrease in volume of 100 cubic centimeter of water under a pressure of 100 atmosphere will be -

(a) 0.4 cc           (b) $4\times {10}^{-5}cc$

(c) 0.025 cc       (d) 0.004 cc 

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

(1) ${10}^8$                                       

(2) $2\times {10}^8$

(3)${10}^9$                                         

(4) $2\times {10}^9$

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

(1) $10\times {10}^{12}$                               

(2) $100\times {10}^{12}$

(3) $1\times {10}^{12}$                                 

(4) $20\times {10}^{12}$

A uniform cube is subjected to volume compression. If each side is decreased by 1%, then bulk strain is

(1) 0.01                             

(2) 0.06

(3) 0.02                             

(4) 0.03

A ball falling in a lake of depth 200 m shows 0.1% decrease in its volume at the bottom. What is the bulk modulus of the material of the ball

(1) $19.6\times {10}^{8}N/m^2$               

(2) $19.6\times {10}^{-10}N/m^2$

(3) $19.6\times {10}^{10}N/m^2$               

(4) $19.6\times {10}^{-8}N/m^2$

The Bulk modulus for an incompressible liquid is

(1) Zero                                           

(2) Unity

(3) Infinity                                       

(4) Between 0 to 1

The ratio of lengths of two rods \(A\) and \(B\) of the same material is \(1:2\) and the ratio of their radii is \(2:1\). The ratio of modulus of rigidity of \(A\) and \(B\) will be: