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Oscillations

JEE Main 2025 (Online) 22nd January Evening ShiftMCQEasy📈 Topic in 13% papers+4−1
Ques. 1JEE Main 2025, 22 January (Evening Shift)

Given below are two statements. One is labelled as Assertion (A) and the other is labelled as Reason (R). In the light of the above statements, choose the correct answer from the options given below :

  1. Both (A) and (R) are true and (R) is the correct explanation of (A)
  2. (A) is false but (R) is true
  3. (A) is true but (R) is false
  4. Both (A) and (R) are true but (R) is NOT the correct explanation of (A)

Answer

(4) Both (A) and (R) are true but (R) is NOT the correct explanation of (A)

Solution

g= GMR2: g'= G(4M)(2R)2=g same T=2 /g (A) true

(R) is true, but T does not depend on the mass at all (R) is NOT the explanation

Answer: (4)

Keep practising — Oscillations

Ques. 2JEE Main 2026, 8 April (Evening Shift)

The frequency of oscillation of a mass m suspended by a spring is 1. If the length of the spring is cut to half, the same mass oscillates with frequency 2. The value of 2 1 is .

  1. 1
  2. 2
  3. 2
  4. 3
Ques. 3JEE Main 2026, 6 April (Morning Shift)

A particle is executing simple harmonic motion. Its amplitude is A and time period is 5 sec. The time required by it to move from x=A to x= A 2 is sec.

  1. 1/4
  2. 5/4
  3. 5/8
  4. 3/8
Ques. 4JEE Main 2026, 6 April (Evening Shift)

A spring stretches by 2 mm when it is loaded with a mass of 200 g. From equilibrium position the mass is further pulled down by 2 mm and released. The frequency associated with the system and maximum energy in the spring are Hz and J, respectively. (Take g = 10 m/s2)

  1. 5 50 and 8 10-3
  2. 5 50 and 8
  3. 10 50 and 2 10-3
  4. 5 50 and 16 10-3
Ques. 5JEE Main 2026, 5 April (Evening Shift)

Match List-I with List-II. Choose the correct answer from the options given below :

  1. A-III, B-I, C-IV, D-II
  2. A-II, B-I, C-III, D-IV
  3. A-III, B-II, C-IV, D-I
  4. A-II, B-I, C-IV, D-III
Ques. 6JEE Main 2026, 4 April (Morning Shift)

The velocity of a particle executing simple harmonic motion along x-axis is described as v2=50-x2, where x represents displacement. If the time period of motion is x7 s, the value of x is .

Ques. 7JEE Main 2026, 4 April (Evening Shift)

A uniform disc of radius R and mass M is free to oscillate about the axis A as shown in the figure. For small oscillations the time period is . (g is acceleration due to gravity) [figure]

  1. 2 5R4g
  2. 2 2R3g
  3. 2 3R2g
  4. 2 3Rg
Ques. 8JEE Main 2026, 2 April (Evening Shift)

The equation of motion of a particle is given by x=a (50t+ /3) cm. The particle will come to rest at time t1 and it will have zero acceleration at time t2. The t1 and t2 respectively are .

  1. 300 s, 75 s
  2. 75 s, 300 s
  3. 300 s, 25 s
  4. 50 s, 100 s
Ques. 9JEE Main 2026, 28 January (Morning Shift)

The displacement of a particle, executing simple harmonic motion with time period T, is expressed as x(t) = A t, where A is the amplitude. The maximum value of potential energy of this oscillator is found at t = T/2 . The value of is .

Ques. 10JEE Main 2026, 28 January (Evening Shift)

As shown in the figure, a spring is kept in a stretched position with some extension by holding the masses 1 kg and 0.2 kg with a separation more than spring natural length and are released. Assuming the horizontal surface to be frictionless, the angular frequency (in SI unit) of the system is : [figure]

  1. 20
  2. 5
  3. 30
  4. 27
Ques. 11JEE Main 2026, 24 January (Morning Shift)

A cylindrical block of mass M and area of cross section A 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. 2 AMg
  2. 2M Ag
  3. 2 M Ag
  4. AMg

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