JEE Main & Advanced Physics Simple Harmonic Motion Question Bank

done Acceleration of Simple Harmonic Motion Total Questions - 21

• question_answer1)
  Which of the following is a necessary and sufficient condition for S.H.M.                                                [NCERT 1974]
  A)
             Constant period done clear
  B)
             Constant acceleration done clear
  C)
             Proportionality between acceleration and displacement from equilibrium position done clear
  D)
             Proportionality between restoring force and displacement from equilibrium position done clear
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• question_answer2)
  If a hole is bored along the diameter of the earth and a stone is dropped into hole                                           [CPMT 1984]
  A)
             The stone reaches the centre of the earth and stops there done clear
  B)
             The stone reaches the other side of the earth and stops there done clear
  C)
             The stone executes simple harmonic motion about the centre of the earth done clear
  D)
             The stone reaches the other side of the earth and escapes into space done clear
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• question_answer3)
   The acceleration of a particle in S.H.M. is       [MP PMT 1993]
  A)
             Always zero done clear
  B)
             Always constant done clear
  C)
             Maximum at the extreme position done clear
  D)
             Maximum at the equilibrium position done clear
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• question_answer4)
  The displacement of a particle moving in S.H.M. at any instant is given by\[y=a\sin \omega t\]. The acceleration after time \[t=\frac{T}{4}\] is (where T is the time period) [MP PET 1984]
  A)
             \[a\omega \]                        done clear
  B)
             \[-a\omega \] done clear
  C)
             \[a{{\omega }^{2}}\] done clear
  D)
             \[-a{{\omega }^{2}}\] done clear
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• question_answer5)
  The amplitude of a particle executing S.H.M. with frequency of 60 Hz is 0.01 m. The maximum value of the acceleration of the particle is [DPMT 1998; CBSE PMT 1999; AFMC 2001; Pb. PMT 2001; Pb. PET 2001, 02; CPMT 1993, 95, 04; RPMT 2005; MP PMT 2005]
  A)
             \[144{{\pi }^{2}}m/se{{c}^{2}}\]                                       done clear
  B)
             \[144m/se{{c}^{2}}\] done clear
  C)
             \[\frac{144}{{{\pi }^{2}}}m/se{{c}^{2}}\]                       done clear
  D)
             \[288{{\pi }^{2}}m/se{{c}^{2}}\] done clear
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• question_answer6)
  A small body of mass 0.10 kg is executing S.H.M. of amplitude 1.0 m and period 0.20 sec. The maximum force acting on it is
  A)
             98.596 N                                  done clear
  B)
             985.96 N done clear
  C)
             100.2 N                                    done clear
  D)
             76.23 N done clear
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• question_answer7)
  A body executing simple harmonic motion has a maximum acceleration equal to \[24metres/se{{c}^{2}}\] and maximum velocity equal to \[16\ metres/sec\]. The amplitude of the simple harmonic motion is [MP PMT 1995; DPMT 2002; RPET 2003; Pb. PET 2004]
  A)
             \[\frac{32}{3}metres\]      done clear
  B)
             \[\frac{3}{32}metres\] done clear
  C)
             \[\frac{1024}{9}metres\] done clear
  D)
             \[\frac{64}{9}metres\] done clear
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• question_answer8)
  For a particle executing simple harmonic motion, which of the following statements is not correct [MP PMT 1997; AIIMS 1999; Kerala PMT 2005]
  A)
             The total energy of the particle always remains the same done clear
  B)
             The restoring force of always directed towards a fixed point done clear
  C)
             The restoring force is maximum at the extreme positions done clear
  D)
             The acceleration of the particle is maximum at the equilibrium position done clear
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• question_answer9)
  A particle of mass 10 grams is executing simple harmonic motion with an amplitude of 0.5 m and periodic time of \[(\pi /5)\] seconds. The maximum value of the force acting on the particle is [MP PET 1999; MP PMT 2000]
  A)
             25 N                                          done clear
  B)
             5 N done clear
  C)
             2.5 N                                         done clear
  D)
             0.5 N done clear
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• question_answer10)
  The displacement of an oscillating particle varies with time (in seconds) according to the equation y (cm) = sin \[\frac{\pi }{2}\left( \frac{t}{2}+\frac{1}{3} \right)\]. The maximum acceleration of the particle is approximately                                          [AMU 1995]
  A)
             \[5.21cm/{{s}^{2}}\]          done clear
  B)
             \[3.62cm/{{s}^{2}}\] done clear
  C)
             \[1.81cm/s\]                         done clear
  D)
             \[0.62cm/{{s}^{2}}\] done clear
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• question_answer11)
  A particle moving along the x-axis executes simple harmonic motion, then the force acting on it is given by [CBSE PMT 1994]
  A)
             ? A Kx                                      done clear
  B)
             A cos (Kx) done clear
  C)
             A exp (? Kx)                           done clear
  D)
             A Kx Where A and K are positive constants done clear
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• question_answer12)
  A body is vibrating in simple harmonic motion with an amplitude of 0.06 m and frequency of 15 Hz. The velocity and acceleration of body is                                                [AFMC 1999]
  A)
             \[5.65\,m/s\] and \[5.32\times {{10}^{2}}m/{{s}^{2}}\]       done clear
  B)
             \[6.82\,m/s\] and \[7.62\times {{10}^{2}}m/{{s}^{2}}\] done clear
  C)
             \[8.91\,m/s\] and \[8.21\times {{10}^{2}}m/{{s}^{2}}\] done clear
  D)
             \[9.82\,m/s\] and \[9.03\times {{10}^{2}}m/{{s}^{2}}\] done clear
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• question_answer13)
  A particle executes harmonic motion with an angular velocity and maximum acceleration of 3.5 rad/sec and 7.5 m/s2 respectively. The amplitude of oscillation is [AIIMS 1999; Pb. PET 1999]
  A)
             0.28 m                                      done clear
  B)
             0.36 m done clear
  C)
             0.53 m                                      done clear
  D)
             0.61 m done clear
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• question_answer14)
  A 0.10 kg block oscillates back and forth along a horizontal surface. Its displacement from the origin is given by: \[x=(10\,cm)\cos [(10\,rad/s)\,t+\pi /2\,rad]\]. What is the maximum acceleration experienced by the block      [AMU (Engg.) 2000]
  A)
             \[10\,\,m/{{s}^{2}}\]         done clear
  B)
             \[10\,\pi \,m/{{s}^{2}}\] done clear
  C)
             \[\frac{10\pi }{2}\,m/{{s}^{2}}\]                                       done clear
  D)
             \[\frac{10\pi }{3}\,m/{{s}^{2}}\] done clear
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• question_answer15)
  In S.H.M. maximum acceleration is at  [RPET 2001; BVP 2003]
  A)
             Amplitude                              done clear
  B)
             Equilibrium done clear
  C)
             Acceleration is constant   done clear
  D)
             None of these done clear
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• question_answer16)
  A particle is executing simple harmonic motion with an amplitude of 0.02 metre and frequency 50 Hz. The maximum acceleration of the particle is    [MP PET 2001]
  A)
             \[100\,\,m/{{s}^{2}}\]       done clear
  B)
             \[100\,{{\pi }^{2}}\,m/{{s}^{2}}\] done clear
  C)
             \[100\,\,m/{{s}^{2}}\]       done clear
  D)
             \[200\,{{\pi }^{2}}\,m/{{s}^{2}}\] done clear
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• question_answer17)
  Acceleration of a particle, executing SHM, at it?s mean position is              [MH CET (Med.) 2002]
  A)
             Infinity                                     done clear
  B)
             Varies done clear
  C)
             Maximum                              done clear
  D)
             Zero done clear
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• question_answer18)
  Which one of the following statements is true for the speed v and the acceleration a of a particle executing simple harmonic motion                                                    [CBSE PMT 2004]
  A)
             When v is maximum, a is maximum done clear
  B)
             Value of a is zero, whatever may be the value of v done clear
  C)
             When v is zero, a is zero done clear
  D)
             When v is maximum, a is zero done clear
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• question_answer19)
  What is the maximum acceleration of the particle doing the SHM \[y=2\sin \left[ \frac{\pi t}{2}+\varphi  \right]\]where 2 is in cm [DCE 2003]
  A)
             \[\frac{\pi }{2}cm/{{s}^{2}}\] done clear
  B)
             \[\frac{{{\pi }^{2}}}{2}cm/{{s}^{2}}\] done clear
  C)
             \[\frac{\pi }{4}cm/{{s}^{2}}\] done clear
  D)
             \[\frac{\pi }{4}cm/{{s}^{2}}\] done clear
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• question_answer20)
  A particle executes linear simple harmonic motion with an amplitude of 2 cm. When the particle is at 1 cm from the mean position the magnitude of its velocity is equal to that of its acceleration. Then its time period in seconds is [Kerala PET 2005]
  A)
             \[\frac{1}{2\pi \sqrt{3}}\] done clear
  B)
             \[2\pi \sqrt{3}\] done clear
  C)
             \[\frac{2\pi }{\sqrt{3}}\]   done clear
  D)
             \[\frac{\sqrt{3}}{2\pi }\] done clear
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• question_answer21)
  In simple harmonic motion, the ratio of acceleration of the particle to its displacement at any time is a measure of                    [UPSEAT 2001]
  A)
             Spring constant                    done clear
  B)
             Angular frequency done clear
  C)
             (Angular frequency)2        done clear
  D)
             Restoring force done clear
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