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Oscillations · Question 17

JEE Main 2025 (Online) 3rd April Morning ShiftMCQMedium📈 Topic in 16% papers+4−1
1

[figure] 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 ( = coefficient of friction between the two blocks) Choose the correct answer from the options given below :

  1. B, C, D Only
  2. C, D, E Only
  3. A, B, D Only
  4. A, B, C Only

Answer

(3) A, B, D Only

Solution

Without slipping both blocks move together; only the spring force acts horizontally on the system:

(M + m)a = -kx a = - kxM + m B correct

= kM + m T = 2 m + Mk A correct

Friction alone accelerates the upper block:

f = m|a| = mk|x|M + m (contains k, not ) C incorrect

Normal reaction on m is mg f = mg, not (M + m)g E incorrect

No slipping even at the extreme position (|x| = A):

mkAM + m mg A = (M + m)gk D correct

A, B, D only

Answer: (3)

JEE Main 2025 (Online) 3rd April Morning Shift

Keep practising — Oscillations

2

A particle is subjected to two simple harmonic motions as : x1 = 7 5t cm and x2 = 2 7 (5t + 3 )cm where x is displacement and t is time in seconds. The maximum acceleration of the particle is x 10-2 m s-2. The value of x is :

  1. 5 7
  2. 125
  3. 25 7
  4. 175
JEE Main 2025 (Online) 2nd April Morning Shift
3

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 most appropriate answer from the options given below :

  1. Both (A) and (R) are true but (R) is not the correct explanation of (A).
  2. (A) is true but (R) is false.
  3. Both (A) and (R) are true and (R) is the correct explanation of (A).
  4. (A) is false but (R) is true.
JEE Main 2025 (Online) 29th January Morning Shift
4

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. (A) is true but (R) is false
  2. Both (A) and (R) are true but (R) is NOT the correct explanation of (A)
  3. (A) is false but (R) is true
  4. Both (A) and (R) are true and (R) is the correct explanation of (A)
JEE Main 2025 (Online) 28th January Evening Shift

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