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JEE Main Physics · Simple Harmonic Motion · Set 1 (Q1-30)

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  1. 1.
    A particle is executing simple harmonic motion (SHM) of amplitude A, along the x-axis, about x = 0. When its potential Energy (PE) equals kinetic energy (KE), the position of the particle will be:
    1. (1)
    2. (2)
    3. (3)A
    4. (4)
  2. 2.
    A cylindrical block of mass and area of cross section is floating in a liquid of density and with its axis vertical. When depressed a little and released the block starts oscillating. The period of oscillation is .
    1. (1)
    2. (2)
    3. (3)
    4. (4)
  3. 3.
    A metal block is attached to a spring of spring constant . A block is displaced from equilibrium position by and released. The maximum acceleration of the block is
    1. (1)
    2. (2)
    3. (3)
    4. (4)
  4. 4.
    The displacement of a particle is given by the relation . The amplitude of the particle is
    1. (1)-4
    2. (2)4
    3. (3)
    4. (4)8
  5. 5.
    Two pendulums of length 121 cm and 100 cm start vibrating in phase. At some instant, the two are at their mean position in the same phase. The minimum number of vibrations of the shorter pendulum after which the two are again in phase at the mean position is [NEET 2022]
    1. (1)9
    2. (2)10
    3. (3)8
    4. (4)11
  6. 6.
    A pendulum is hung from the roof of a sufficiently high building and is moving freely to and fro like a simple harmonic oscillator. The acceleration of the bob of the pendulum is at a distance of 5 m from the mean position. The time period of oscillation is [NEET 2018]
    1. (1)2 s
    2. (2)
    3. (3)
    4. (4)1 s
  7. 7.
    For a particle executing simple harmonic motion, the kinetic energy of the particle at a distance of from the mean position is rd of the maximum kinetic energy. The amplitude of the motion is
    1. (1)
    2. (2)
    3. (3)
    4. (4)
  8. 8.
    The average energy possessed by an oscillator at a temperature is (Boltzmann constant )
    1. (1)
    2. (2)
    3. (3)
    4. (4)
  9. 9.
    The ratio of kinetic energy to the potential energy of a particle executing SHM at a distance equal to half its amplitude, the distance being measured from its equilibrium position is
    1. (1)
    2. (2)
    3. (3)
    4. (4)
  10. 10.
    The displacement of a particle along the ‐axis is given by . The motion of the particle corresponds to
    1. (1)simple harmonic motion of frequency
    2. (2)simple harmonic motion of frequency
    3. (3)non-simple harmonic motion
    4. (4)simple harmonic motion of frequency
  11. 11.
    The phase difference between the instantaneous velocity and acceleration of a particle executing simple harmonic motion is
    1. (1)
    2. (2)
    3. (3)zero
    4. (4)
  12. 12.
    A particle is executing two different simple harmonic motions, mutually perpendicular, of different amplitudes and having phase difference of . The path of the particle will be:
    1. (1)circular
    2. (2)straight line
    3. (3)parabolic
    4. (4)elliptical
  13. 13.
    Two mutually perpendicular simple harmonic vibrations have same amplitude, frequency and phase. When they superimpose, the resultant form of vibration will be:
    1. (1)A circle
    2. (2)An ellipse
    3. (3)A straight line
    4. (4)A parabola
  14. 14.
    The composition of two simple harmonic motions of equal periods at right angle to each other and with a phase difference of π results in the displacement of the particle along
    1. (1)Straight line
    2. (2)Circle
    3. (3)Ellipse
    4. (4)Figure of eight
  15. 15.
    A sliver atom in a solid oscillates in simple harmonic motion in some direction with a frequency of /sec. What is the force constant of the bonds connecting one atom with the other? (Mole wt. of silver =108 and Avogadro number = 6.02 × gm )
    1. (1)2.2 N/m
    2. (2)5.5 N/m
    3. (3)6.4 N/m
    4. (4)7.1 N/m
  16. 16.
    The bob of simple pendulum of length is released from a position of small angular displacement . Its linear displacement at time is ( acceleration due to gravity)
    1. (1)
    2. (2)
    3. (3)
    4. (4)
  17. 17.
    Identify the function which represents a periodic motion. [NEET 2020]
    1. (1)
    2. (2)
    3. (3)
    4. (4)
  18. 18.
    Two springs of spring constants and are joined in series. The effective spring constant of the combination is given by
    1. (1)
    2. (2)/2
    3. (3)
    4. (4)k1k2/
  19. 19.
    Two bodies A and B of equal mass are suspended from two massless springs of spring constant and , respectively. If the bodies oscillate vertically such that their amplitudes are equal, the ratio of the maximum velocity of to the maximum velocity of is
    1. (1)
    2. (2)
    3. (3)
    4. (4)
  20. 20.
    In a simple pendulum experiment for determination of acceleration due to gravity time taken for oscillations is measured by using a watch of second least count. The mean value of time taken comes out to be. The length of pendulum is measured by using a meter scale of least count and the value obtained is The percentage error in the determination of is close to:
    1. (1)
    2. (2)
    3. (3)
    4. (4)
  21. 21.
    The displacement of a particle executing SHM is given by where ' ' is in metres and ' ' is in seconds. The amplitude and maximum speed of the particle is
    1. (1)
    2. (2)
    3. (3)
    4. (4)
  22. 22.
    The equation of motion of a particle executing simple harmonic motion is given by , where is in metres and is in seconds. The ratio of the potential and kinetic energies of the particle at time is
    1. (1)
    2. (2)
    3. (3)
    4. (4)
  23. 23.
    A block of mass m attached to a massless spring is performing oscillatory motion
    of amplitude 'A' on a frictionless horizontal plane. If half of the mass of the block breaks off when it is passing through its equilibrium point, the amplitude of oscillation for the remaining system become fA. The value of is:
    1. (1)
    2. (2)
    3. (3)1
    4. (4)
  24. 24.
    Two particles are executing simple harmonic motion of the same amplitude A and frequency ꞷ along the x-axis. Their mean position is separated by distance ( > A). If the maximum separation between them is ( + A), the phase difference between their motion is:
    1. (1)
    2. (2)
    3. (3)
    4. (4)
  25. 25.
    A block of mass ' ' rests on a piston executing S.H.M. of period one second. The amplitude of oscillations, so that the mass is separated from the piston, is (acceleration due to gravity, )
    1. (1)
    2. (2)
    3. (3)
    4. (4)
  26. 26.
    A mass 0.9 kg, attached to a horizontal spring, executes SHM with an amplitude . When this mass passes through its mean position, then a smaller mass of 124 g is placed over it and both masses move together with amplitude . If the ratio is , then the value of will be____.
  27. 27.
    A particle executes simple harmonic motion represented by displacement function as If the position and velocity of the particle at t=0s are 2cm and respectively, then its amplitude is where the value of x is
  28. 28.
    A particle executes simple harmonic motion. Its amplitude is 8 cm and time period is 6s. The time it will take to travel from its position of maximum displacement to the point corresponding to half of its amplitude, is________s.
  29. 29.
    A rectangular block of mass 5 kg attached to a horizontal spiral spring executes simple harmonic motion of amplitude 1 m and time period 3.14 s. The maximum force exerted by spring on block is___N.
  30. 30.
    When the displacement of a simple harmonic oscillator is one third of its amplitude, the ratio of total energy to the kinetic energy is , where _______