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

Subtopic:  Young's modulus |
 77%
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The isothermal elasticity of a gas is equal to

(1) Density                                     

(2) Volume

(3) Pressure                                    

(4) Specific heat

Subtopic:  Stress - Strain |
 65%
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The adiabatic elasticity of a gas is equal to
1. γ × density
2. γ × volume
3. γ × pressure
4. γ × specific heat

Subtopic:  Stress - Strain |
 78%
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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 -

(a) 0.4 cc           (b) 4×10-5cc

(c) 0.025 cc       (d) 0.004 cc 

Subtopic:  Shear and bulk modulus |
 64%
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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

Subtopic:  Shear and bulk modulus |
 69%
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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

Subtopic:  Shear and bulk modulus |
 67%
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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

Subtopic:  Shear and bulk modulus |
 65%
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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) 19.6×108N/m2               

(2) 19.6×10-10N/m2

(3) 19.6×1010N/m2               

(4) 19.6×10-8N/m2

Subtopic:  Shear and bulk modulus |
 77%
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The Bulk modulus for an incompressible liquid is

(1) Zero                                           

(2) Unity

(3) Infinity                                       

(4) Between 0 to 1

Subtopic:  Shear and bulk modulus |
 71%
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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:

1. \(4:1\) 2. \(16:1\)
3. \(8:1\) 4. \(1:1\)
Subtopic:  Stress - Strain |
 55%
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