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VITEEE Oscillations — practice questions — page 2

Explore 65 free Oscillations questions in VITEEE Physics. Open each question or exercise to read its content, reference answers and available explanation.

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Oscillations questions and exercises with answers

Showing questions 31–60 of 65.

A mass m on a vertical spring of constant k. The equilibrium extension is x0 = mg/k. The mass is set into SHM. Frequency depends on:Read the answer and worked solution →Two simple pendulums of lengths 1 m and 4 m start swinging in phase. They will be in phase again after:Read the answer and worked solution →A particle has SHM with x = A cos(ωt). At t = 0, the particle is at:Read the answer and worked solution →Phase difference between displacement and velocity in SHM:Read the answer and worked solution →The total energy of SHM is proportional to:Read the answer and worked solution →NEET · Physics · Oscillation Period — Gap FillRead the answer and worked solution →Match the SHM quantity to its formulaRead the answer and worked solution →Period and frequencyRead the answer and worked solution →Counting oscillationsRead the answer and worked solution →Period, frequency and unitsRead the answer and worked solution →The SHM displacementRead the answer and worked solution →Symbol to meaning in SHMRead the answer and worked solution →Angular frequencyRead the answer and worked solution →SHM and circular motionRead the answer and worked solution →Velocity and acceleration amplitudesRead the answer and worked solution →Acceleration in SHMRead the answer and worked solution →The restoring forceRead the answer and worked solution →Odd one out: SHM quantitiesRead the answer and worked solution →Energy of an oscillatorRead the answer and worked solution →Where the energy goesRead the answer and worked solution →Bigger or smallerRead the answer and worked solution →Hooke's law oscillatorRead the answer and worked solution →The linear oscillatorRead the answer and worked solution →Formula to systemRead the answer and worked solution →The simple pendulumRead the answer and worked solution →Read the oscillationRead the answer and worked solution →Odd one out: oscillating systemsRead the answer and worked solution →Phase and amplitudeRead the answer and worked solution →Quantity to formulaRead the answer and worked solution →Oscillations, mixed checkRead the answer and worked solution →

Worked practice questions

A mass m on a vertical spring of constant k. The equilibrium extension is x0 = mg/k. The mass is set into SHM. Frequency depends on:

  1. Only g
  2. m, k, and g
  3. m and k only
  4. Only x0
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Correct answer: C. m and k only

f = (1/(2π))√(k/m). g determines equilibrium position x0, not the oscillation frequency. SHM about equilibrium has same frequency as on horizontal frictionless surface.

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Two simple pendulums of lengths 1 m and 4 m start swinging in phase. They will be in phase again after:

  1. T2 (period of longer)
  2. LCM of T1 and T2
  3. T1 (period of shorter)
  4. Never
Show answer and solution

Correct answer: B. LCM of T1 and T2

T1 = 2π√(1/g) and T2 = 2π√(4/g) = 2T1. Pendulums in phase when both complete integer cycles. Smallest such time is LCM(T1, T2) = 2T1 = T2. So after T2.

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A particle has SHM with x = A cos(ωt). At t = 0, the particle is at:

  1. x = A/2
  2. Random
  3. x = A (extreme position, v = 0)
  4. x = 0 with maximum velocity
Show answer and solution

Correct answer: C. x = A (extreme position, v = 0)

At t = 0: x = A cos(0) = A. So particle starts from extreme position (x = A). Velocity v = -Aω sin(ωt), at t=0 is 0. Particle starts from rest at maximum displacement.

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