Doubts
Sign in
12thPass logo
New chatPYQ LibraryDoubtsRank report
Sign in to see Recents
Sign in to save progress →
Doubts
Sign in

Simple Harmonic Motion question

2025 · 2 Apr · Shift 1 · Q59
Guest · try one question or challengeGuest · try one question or challenge
  1. PYQ Library
  2. /JEE Main
  3. /Physics
  4. /Simple Harmonic Motion
  5. /2025 · 2 Apr · Shift 1 · Q59

Simple Harmonic Motion question

2025 · 2 Apr · Shift 1 · Q59

JEE MainPhysicsSimple Harmonic MotionMCQ+4 / −1
A particle is subjected to two simple harmonic motions as : x1=7sin⁡5tcmx_1=\sqrt{7} \sin 5 \mathrm{tcm}x1​=7​sin5tcm and x2=27sin⁡(5t+π3)cmx_2=2 \sqrt{7} \sin \left(5 t+\frac{\pi}{3}\right) \mathrm{cm}x2​=27​sin(5t+3π​)cm where xxx is displacement and ttt is time in seconds. The maximum acceleration of the particle is x×10−2 ms−2x \times 10^{-2} \mathrm{~ms}^{-2}x×10−2 ms−2. The value of xxx is :
  1. A
    575 \sqrt{7}57​
  2. B
    125
  3. C
    25725 \sqrt{7}257​
  4. D
    175
Next

More from Simple Harmonic Motion

  • Two blocks of masses m and M,(M>m), are placed on a frictionless table as shown in figure. A massless spring with spring constant k is attached with the lower block. If the system is slightly displaced and released, then ( μ=… Includes diagram2025 · MCQ
  • Two simple pendulums having lengths l1​ and l2​ with negligible string mass undergo angular displacements θ1​ and θ2​, from their mean positions, respectively. If the angular accelerations of both pendulums are same, then…2025 · MCQ
  • A block of mass 2 kg is attached to one end of a massless spring whose other end is fixed at a wall. The spring-mass system moves on a frictionless horizontal table. The spring's natural length is 2 m and spring constant is 200 N/m. The…2025 · MCQ
  • Given below are two statements. One is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion (A) : A simple pendulum is taken to a planet of mass and radius, 4 times and 2 times, respectively, than the Earth. The…2025 · MCQ
  • A light hollow cube of side length 10 cm and mass 10 g , is floating in water. It is pushed down and released to execute simple harmonic oscillations. The time period of oscillations is yπ×10−2 s, where the value…2025 · MCQ
  • A particle is executing simple harmonic motion with time period 2 s and amplitude 1 cm . If D and d are the total distance and displacement covered by the particle in 12.5 s , then dD​ is2025 · MCQ
  • A particle oscillates along the x-axis according to the law, x(t)=x0​sin2(2t​) where x0​=1 m. The kinetic energy (K) of the particle as a function of x is correctly…2025 · MCQ
  • Given below are two statements. One is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion (A) : Knowing initial position x0​ and initial momentum p0​ is enough to determine the position and momentum…2025 · MCQ