Simple Harmonic Motion: JEE Main Physics Previous Year Questions

372 previous year questions from Simple Harmonic Motion. Here are the 25 most important ones; open any question for the correct answer and a full step-by-step solution.

1. $A particle is executing simple harmonic motion (SHM) of amplitude A, along the x-axis, about x = 0. When its potential Energy (PE) equals kinetic energy (KE), the positio\dots$
2. $A cylindrical block of mass M and area of cross section A is floating in a liquid of density ρ and with its axis vertical. When depressed a little and releas\dots$
3. $A mass 0.9 kg, attached to a horizontal spring, executes SHM with an amplitude A_{1} . When this mass passes through its mean position, then a smaller mass of 124 g is p\dots$
4. $A 10 kg metal block is attached to a spring of spring constant 1000 N m^{- 1} . A block is displaced from equilibrium position by\dots$
5. $The displacement of a particle is given by the relation x = 4 (cos πt + sin πt) . The amplitude of the particle is$
6. $Two pendulums of length 121 cm and 100 cm start vibrating in phase. At some instant, the two are at their mean position in the same phase. The minimum number of vibration\dots$
7. $A pendulum is hung from the roof of a sufficiently high building and is moving freely to and fro like a simple harmonic oscillator. The acceleration of the bob of the pen\dots$
8. $For a particle executing simple harmonic motion, the kinetic energy of the particle at a distance of 4 cm from the mean position is \frac{1}{3} rd of the maxi\dots$
9. $The average energy possessed by an oscillator at a temperature 300 K is (Boltzmann constant = 1.38 \times 10^{- 23} JK^{- 1})$
10. $The ratio of kinetic energy to the potential energy of a particle executing SHM at a distance equal to half its amplitude, the distance being measured from its equilibriu\dots$
11. $The displacement of a particle along the χ ‐axis is given by χ = a si n^{2} ωt . The motion of the particle corresponds to$
12. $A particle executes simple harmonic motion represented by displacement function as x (t) = A sin (ωt + φ) If the position and velocity of the\dots$
13. $A particle executes simple harmonic motion. Its amplitude is 8 cm and time period is 6s. The time it will take to travel from its position of maximum displacement to the\dots$
14. $The phase difference between the instantaneous velocity and acceleration of a particle executing simple harmonic motion is$
15. $A particle is executing two different simple harmonic motions, mutually perpendicular, of different amplitudes and having phase difference of \frac{π}{2} . The path\dots$
16. $Two mutually perpendicular simple harmonic vibrations have same amplitude, frequency and phase. When they superimpose, the resultant form of vibration will be:$
17. $A rectangular block of mass 5 kg attached to a horizontal spiral spring executes simple harmonic motion of amplitude 1 m and time period 3.14 s. The maximum force exerted\dots$
18. $The composition of two simple harmonic motions of equal periods at right angle to each other and with a phase difference of π results in the displacement of the particle\dots$
19. $A sliver atom in a solid oscillates in simple harmonic motion in some direction with a frequency of 1 0^{12} /sec. What is the force constant of the bonds connecting one\dots$
20. $The bob of simple pendulum of length L is released from a position of small angular displacement θ . Its linear displacement at time t is (g = accelerati\dots$
21. $Identify the function which represents a periodic motion. [NEET 2020]$
22. $Two springs of spring constants k_{1} and k_{2} are joined in series. The effective spring constant of the combination is given by$
23. $Two bodies A and B of equal mass are suspended from two massless springs of spring constant k_{1} and k_{2}, respectively. If the bodies oscillate vertically su\dots$
24. $In a simple pendulum experiment for determination of acceleration due to gravity (g) time taken for 20 oscillations is measured by using a watch of\dots$
25. $The displacement of a particle executing SHM is given by x = 3 sin (2 πt + \frac{π}{4}) where ' x' is in metres and ' t' is in seconds. The a\dots$

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Simple Harmonic Motion: JEE Main Physics Previous Year Questions

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