JEE Main & Advanced Physics Elasticity Question Bank

done Bulk Modulus Total Questions - 21

• 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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