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question_answer1)
The isothermal elasticity of a gas is equal to [CPMT 1981; MP PMT 2004]
A)
Density done
clear
B)
Volume done
clear
C)
Pressure done
clear
D)
Specific heat done
clear
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question_answer2)
The adiabatic elasticity of a gas is equal to\[\] [CPMT 1982]
A)
\[\gamma \times \]density done
clear
B)
\[\gamma \times \]volume done
clear
C)
\[\gamma \times \]pressure done
clear
D)
\[\gamma \times \]specific heat done
clear
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question_answer3)
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 \[{{E}_{\varphi }}\] and \[{{E}_{\theta }}\] respectively. The ratio of \[{{E}_{\varphi }}\] to \[{{E}_{\theta }}\] is [MP PMT 1989; MP PET 1992]
A)
\[{{C}_{v}}/{{C}_{p}}\] done
clear
B)
\[{{C}_{p}}/{{C}_{v}}\] done
clear
C)
\[{{C}_{p}}{{C}_{v}}\] done
clear
D)
\[1/{{C}_{p}}{{C}_{v}}\] done
clear
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question_answer4)
The only elastic modulus that applies to fluids is [BCECE 2003]
A)
Young's modulus done
clear
B)
Shear modulus done
clear
C)
Modulus of rigidity done
clear
D)
Bulk modulus done
clear
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question_answer5)
The ratio of the adiabatic to isothermal elasticities of a triatomic gas is [MP PET 1991]
A)
3/4 done
clear
B)
4/3 done
clear
C)
1 done
clear
D)
5/3 done
clear
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question_answer6)
If the volume of the given mass of a gas is increased four times, the temperature is raised from 27°C to 127°C. The elasticity will become
A)
4 times done
clear
B)
1/4 times done
clear
C)
3 times done
clear
D)
1/3 times done
clear
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question_answer7)
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 [MP PMT 1990]
A)
0.4 cc done
clear
B)
\[4\times {{10}^{-5}}\,cc\] done
clear
C)
0.025 cc done
clear
D)
0.004 cc done
clear
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question_answer8)
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 \[g=10\,m/{{s}^{2}}\], then the volume elasticity in \[N/{{m}^{2}}\] will be [MP PMT 1991]
A)
\[{{10}^{8}}\] done
clear
B)
\[2\times {{10}^{8}}\] done
clear
C)
\[{{10}^{9}}\] done
clear
D)
\[2\times {{10}^{9}}\] done
clear
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question_answer9)
The compressibility of a material is
A)
Product of volume and its pressure done
clear
B)
The change in pressure per unit change in volume strain done
clear
C)
The fractional change in volume per unit change in pressure done
clear
D)
None of the above done
clear
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question_answer10)
When a pressure of 100 atmosphere is applied on a spherical ball, then its volume reduces to 0.01%. The bulk modulus of the material of the rubber in \[dyne/c{{m}^{2}}\] is [MP PET 1985; DPMT 2002]
A)
\[10\times {{10}^{12}}\] done
clear
B)
\[100\times {{10}^{12}}\] done
clear
C)
\[1\times {{10}^{12}}\] done
clear
D)
\[20\times {{10}^{12}}\] done
clear
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question_answer11)
In the three states of matter, the elastic coefficient can be
A)
Young's modulus done
clear
B)
Coefficient of volume elasticity done
clear
C)
Modulus of rigidity done
clear
D)
Poisson's ratio done
clear
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question_answer12)
Bulk modulus was first defined by [CPMT 1987]
A)
Young done
clear
B)
Bulk done
clear
C)
Maxwell done
clear
D)
None of the above done
clear
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question_answer13)
A uniform cube is subjected to volume compression. If each side is decreased by 1%, then bulk strain is [EAMCET (Engg.) 1995; DPMT 2000]
A)
0.01 done
clear
B)
0.06 done
clear
C)
0.02 done
clear
D)
0.03 done
clear
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question_answer14)
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 [AFMC 1997]
A)
\[19.6\times {{10}^{8}}\,N/{{m}^{2}}\] done
clear
B)
\[19.6\times {{10}^{-10}}\,N/{{m}^{2}}\] done
clear
C)
\[19.6\times {{10}^{10}}\,N/{{m}^{2}}\] done
clear
D)
\[19.6\times {{10}^{-8}}\,N/{{m}^{2}}\] done
clear
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question_answer15)
The isothermal bulk modulus of a gas at atmospheric pressure is [AIIMS 2000; KCET 1999; Pb. PMT 2003]
A)
\[1\,mm\]of Hg done
clear
B)
\[13.6\,mm\]of Hg done
clear
C)
\[1.013\times {{10}^{5}}\,N/{{m}^{2}}\] done
clear
D)
\[2.026\times {{10}^{5}}N/{{m}^{2}}\] done
clear
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question_answer16)
Coefficient of isothermal elasticity \[{{E}_{\theta }}\] and coefficient of adiabatic elasticity \[{{E}_{\varphi }}\]are related by\[(\gamma ={{C}_{p}}/{{C}_{v}})\] [MP PET 2000]
A)
\[{{E}_{\theta }}=\gamma \,{{E}_{\varphi }}\] done
clear
B)
\[{{E}_{\varphi }}=\gamma \,{{E}_{\theta }}\] done
clear
C)
\[{{E}_{\theta }}=\gamma /{{E}_{\varphi }}\] done
clear
D)
\[{{E}_{\theta }}={{\gamma }^{2}}{{E}_{\varphi }}\] done
clear
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question_answer17)
The bulk modulus of an ideal gas at constant temperature [MP PMT 2004]
A)
Is equal to its volume V done
clear
B)
Is equal to p/2 done
clear
C)
Is equal to its pressure p done
clear
D)
Cannot be determined done
clear
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question_answer18)
The Bulk modulus for an incompressible liquid is [BHU 2004]
A)
Zero done
clear
B)
Unity done
clear
C)
Infinity done
clear
D)
Between 0 to 1 done
clear
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question_answer19)
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)
\[\frac{P}{\alpha \beta }\] done
clear
B)
\[\frac{P\alpha }{\beta }\] done
clear
C)
\[\frac{P\beta }{\alpha }\] done
clear
D)
\[\frac{\alpha \beta }{P}\] done
clear
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question_answer20)
The pressure of a medium is changed from 1.01 ´ 105 Pa to 1.165 ´ 105 Pa and change in volume is 10% keeping temperature constant. The Bulk modulus of the medium is
A)
\[204.8\times {{10}^{5}}Pa\] done
clear
B)
\[102.4\times {{10}^{5}}Pa\] done
clear
C)
51.2 ´ 105 Pa done
clear
D)
1.55 ´ 105 Pa done
clear
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question_answer21)
For a constant hydraulic stress on an object, the fractional change in the object's volume\[\left( \frac{\Delta V}{V} \right)\]and its bulk modulus are related as
A)
\[\frac{\Delta V}{V}\propto B\] done
clear
B)
\[\frac{\Delta V}{V}\propto \frac{1}{B}\] done
clear
C)
\[\frac{\Delta V}{V}\propto {{B}^{2}}\] done
clear
D)
\[\frac{\Delta v}{v}\propto {{B}^{-2}}\] done
clear
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