A steel wire of 1 m long and cross section area 1 mm2 is hang from rigid end. When mass of 1kg is hung from it then change in length will be: (given Y=2×1011N/m2)
1. 0.5 mm
2. 0.25 mm
3. 0.05 mm
4. 5 mm
An iron rod of length 2m and cross section area of 50 X 10-6 m2 , is stretched by 0.5 mm, when a mass of 250 kg is hung from its lower end. Young's modulus of the iron rod is-
1. 19.6×1010N/m2
2. 19.6×1015N/m2
3. 19.6×1018N/m2
4. 19.6×1020N/m2
In which case, there is a maximum extension in the wire, if the same force is applied on each wire?
1. L = 500 cm, d = 0.05 mm
2. L = 200 cm, d = 0.02 mm
3. L = 300 cm, d = 0.03 mm
4. L = 400 cm, d = 0.01 mm
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 4×10-5 per unit atmospheric pressure. The decrease in volume of 100 cubic centimeter of water under a pressure of 100 atmosphere will be -
1. 0.4 cc
2. 4×10-5cc
3. 0.025 cc
4. 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 1×103kg/m3 and g=10m/s2, then the volume elasticity in will be
1. 108
2. 2×108
3. 109
4. 2×109
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 / cm2 is:
1. 10×1012
2. 100×1012
3. 1×1012
4. 20×1012
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