The adiabatic elasticity of a gas is equal to

(a) $\gamma ×$density                                (b) $\gamma ×$volume

(c) $\gamma ×$pressure                              (d) $\gamma ×$specific heat

Concept Questions :-

Stress-strain
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The specific heat at constant pressure and at constant volume for an ideal gas are ${C}_{p}$ and ${C}_{v}$ and its adiabatic and isothermal elasticities are ${E}_{\varnothing }$ and${E}_{\theta }$  respectively. The  ratio of ${E}_{\varnothing }$ to ${E}_{\theta }$ is

(a) ${C}_{v}/{C}_{p}$

(b) ${C}_{p}/{C}_{v}$

(c) ${C}_{p}{C}_{v}$

(d) $1/{C}_{p}{C}_{v}$

Concept Questions :-

Stress-strain
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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) $4×{10}^{-5}cc$

(c) 0.025 cc       (d) 0.004 cc

Concept Questions :-

Stress-strain
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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 $1×{10}^{3}kg/{m}^{3}$ and $g=10m/{s}^{2}$, then the volume elasticity in  will be

(a) ${10}^{8}$                                        (b) $2×{10}^{8}$

(c)${10}^{9}$                                         (d) $2×{10}^{9}$

Concept Questions :-

Stress-strain
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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  is:

(a) $10×{10}^{12}$                                (b) $100×{10}^{12}$

(c) $1×{10}^{12}$                                  (d) $20×{10}^{12}$

Concept Questions :-

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

(a) 0.01                              (b) 0.06

(c) 0.02                              (d) 0.03

Concept Questions :-

Stress-strain
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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

(a) $19.6×{10}^{8}N/{m}^{2}$                (b) $19.6×{10}^{-10}N/{m}^{2}$

(c) $19.6×{10}^{10}N/{m}^{2}$               (d) $19.6×{10}^{-8}N/{m}^{2}$

Concept Questions :-

Stress-strain
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The Bulk modulus for an incompressible liquid is

(a) Zero                                           (b) Unity

(c) Infinity                                       (d) Between 0 to 1

Concept Questions :-

Stress-strain
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The pressure applied from all directions on a cube is P. How much its temperature should be raised to maintain the original volume ? The volume elasticity of the cube is  $\beta$ and the coefficient of volume expansion is $\alpha$ -

(a) $\frac{P}{\alpha \beta }$                                 (b) $\frac{P\alpha }{\beta }$

(c) $\frac{P\beta }{\alpha }$                                 (d) $\frac{\alpha \beta }{P}$

Concept Questions :-

Stress-strain
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The ratio of lengths of two rods A and B of same material is 1 : 2 and the ratio of their radii is 2 : 1, then the ratio of modulus of rigidity of A and B will be

(a)       4 : 1                                           (b)   16 : 1

(c)       8 : 1                                           (d)   1 : 1

Concept Questions :-

Stress-strain
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