JEE Main & Advanced Physics Elasticity Question Bank

done Rigidity Modulus Total Questions - 18

• question_answer1)
  Modulus of rigidity of diamond is
  A)
  Too less  done clear
  B)
                  Greater than all matters done clear
  C)
                  Less than all matters             done clear
  D)
                  Zero done clear
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• question_answer2)
  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        done clear
  B)
                  16 : 1 done clear
  C)
                  8 : 1        done clear
  D)
                  1 : 1 done clear
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• question_answer3)
  Which statement is true for a metal     [DPMT 2001]
  A)
                  \[Y<\eta \]              done clear
  B)
                  \[Y=\eta \] done clear
  C)
                  \[Y>\eta \]              done clear
  D)
                  \[Y<1/\eta \] done clear
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• question_answer4)
  Which of the following relations is true              [CPMT 1984]
  A)
                  \[3Y=K(1-\sigma )\] done clear
  B)
                              \[K=\frac{9\eta Y}{Y+\eta }\] done clear
  C)
                  \[\sigma =(6K+\eta )Y\] done clear
  D)
                              \[\sigma =\frac{0.5Y-\eta }{\eta }\] done clear
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• question_answer5)
  Two wires A and B of same length and of the same material have the respective radii \[{{r}_{1}}\] and \[{{r}_{2}}\]. Their one end is fixed with a rigid support, and at the other end equal twisting couple is applied. Then the ratio of the angle of twist at the end of A and the angle of twist at the end of B will be [AIIMS 1980]
  A)
                  \[\frac{r_{1}^{2}}{r_{2}^{2}}\]    done clear
  B)
                  \[\frac{r_{2}^{2}}{r_{1}^{2}}\] done clear
  C)
                  \[\frac{r_{2}^{4}}{r_{1}^{4}}\]    done clear
  D)
                  \[\frac{r_{1}^{4}}{r_{2}^{4}}\] done clear
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• question_answer6)
  When a spiral spring is stretched by suspending a load on it, the strain produced is called
  A)
  Shearing done clear
  B)
                              Longitudinal done clear
  C)
                  Volume done clear
  D)
                              Transverse done clear
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• question_answer7)
  The Young's modulus of the material of a wire is \[6\times {{10}^{12}}\,N/{{m}^{2}}\] and  there is no transverse strain in it, then its modulus of rigidity will be
  A)
                  \[3\times {{10}^{12}}\,N/{{m}^{2}}\] done clear
  B)
                              \[2\times {{10}^{12}}\,N/{{m}^{2}}\] done clear
  C)
                  \[{{10}^{12}}\,N/{{m}^{2}}\] done clear
  D)
                              None of the above done clear
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• question_answer8)
  If the Young's modulus of the material is 3 times its modulus of rigidity, then its volume elasticity will be
  A)
  Zero        done clear
  B)
                  Infinity done clear
  C)
                  \[2\times {{10}^{10}}\,N/{{m}^{2}}\] done clear
  D)
                              \[3\times {{10}^{10}}\,N/{{m}^{2}}\] done clear
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• question_answer9)
  Modulus of rigidity of a liquid                          [RPET 2000]
  A)
  Non zero constant done clear
  B)
              Infinite done clear
  C)
              Zero     done clear
  D)
              Cannot be predicted done clear
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• question_answer10)
  For a given material, the Young's modulus is 2.4 times that of rigidity modulus. Its Poisson's ratio is [EAMCET 1990; RPET 2001]
  A)
  2.4 done clear
  B)
                              1.2 done clear
  C)
                  0.4          done clear
  D)
                  0.2 done clear
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• question_answer11)
  A cube of aluminium of sides 0.1 m is subjected to a shearing force of 100 N. The top face of the cube is displaced through 0.02 cm with respect to the bottom face. The shearing strain would be                               
  A)
  0.02        done clear
  B)
                  0.1 done clear
  C)
                  0.005      done clear
  D)
                  0.002 done clear
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• question_answer12)
  The reason for the change in shape of a regular body is [EAMCET 1980]
  A)
  Volume stress done clear
  B)
                              Shearing strain done clear
  C)
                  Longitudinal strain done clear
  D)
                  Metallic strain done clear
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• question_answer13)
  The lower surface of a cube is fixed. On its upper surface, force is applied at an angle of 30° from its surface. The change will be of the type
  A)
  Shape     done clear
  B)
                  Size done clear
  C)
                  None      done clear
  D)
                  Shape and size done clear
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• question_answer14)
  The upper end of a wire of radius 4 mm and length 100 cm is clamped and its other end is twisted through an angle of\[30{}^\circ \]. Then angle of shear is    [NCERT 1990; MP PMT 1996]
  A)
                  \[12{}^\circ \]       done clear
  B)
                  \[0.12{}^\circ \] done clear
  C)
                  \[1.2{}^\circ \]      done clear
  D)
                  \[0.012{}^\circ \] done clear
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• question_answer15)
  Mark the wrong statement                                    [MP PMT 2003]
  A)
  Sliding of molecular layer is much easier than compression or expansion done clear
  B)
                  Reciprocal of bulk modulus of elasticity is called compressibility done clear
  C)
                   It is difficult to twist a long rod as compared to small rod done clear
  D)
                  Hollow shaft is much stronger than a solid rod of same length and same mass done clear
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• question_answer16)
  A 2 m long rod of radius 1 cm which is fixed from one end is given a twist of 0.8 radians. The shear strain developed will be                                                             [RPET 1997]
  A)
  0.002      done clear
  B)
                  0.004 done clear
  C)
                  0.008      done clear
  D)
                  0.016 done clear
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• question_answer17)
  A rod of length l and radius r is joined to a rod of length l/2 and radius r/2 of same material. The free end of small rod is fixed to a rigid base and the free end of larger rod is given a twist of \[\theta {}^\circ \], the twist angle at the joint will be       [RPET 1997]
  A)
                  \[\theta /4\]              done clear
  B)
                  \[\theta /2\] done clear
  C)
                  \[5\theta /6\]           done clear
  D)
                  \[8\theta /9\] done clear
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• question_answer18)
  Shearing stress causes change in [RPET 2002; BCECE 2001, 04]
  A)
  Length done clear
  B)
                       Breadth done clear
  C)
              Shape  done clear
  D)
              Volume done clear
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