Oscillations-Quiz-11

OSCILLATIONS QUIZ 11

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JEE Advanced Physics Syllabus can be referred by the IIT aspirants to get a detailed list of all topics that are important in cracking the entrance examination. JEE Advanced syllabus for Physics has been designed in such a way that it offers very practical and application-based learning to further make it easier for students to understand every concept or topic by correlating it with day-to-day experiences. In comparison to the other two subjects, the syllabus of JEE Advanced for physics is developed in such a way so as to test the deep understanding and application of concepts..

Q1. For a particle executing SHM the displacement x is given by x=A cos⁡ωt. Identify the graph which represents the variation of potential energy (PE) as a function of time t and displacement x.

•  a) I, III
•  b) II, IV
•  c) II, III
•  d) I, IV

Solution

Q2.A particle performs SHM on the x-axis with amplitude A and time period T. The time taken by the particle to travel a distance A/5 starting from rest is

•  T/20
•  T/2π cos^(-1)(4/5)
•  T/2π cos^(-1)(1/5)
•  T/2π sin^(-1)(1/5)

Solution

Q3.  The variation of velocity of a particle executing SHM with time is shown in figure. The velocity of the particle when a phase change of π/6 takes place from the instant it is at one of the extreme positions will be

•  3.53 m/s
•  2.5 m/s
•  4.330 m/s
•  None of these

Solution

Q4. A plank of mass 12 kg is supported by two identical springs as shown in figure. The plank always remains horizontal. When the plank is pressed down and released, it performs simple harmonic motion with time period 3 s. When a block of mass m is attached to the plank the time period changes to 6 s. The mass of the block is

•  a) 48 kg
•  b) 36 kg/span>
•  c) 24 kg
•  d) 12 kg

Solution

Q5.Two simple pendulums of lengths l and 4l are suspended from same point and brought aside together and released at the same time. If the time period of smaller pendulum is T then after how much time will they be together again and moving in the same direction?

•  T/2
•  T
•  2T
•  None of these

Solution
 

Q6. A particle performs SHM about x=0 such that at t=0 it is at x=0 and moving towards positive extreme.The time taken to go from x=0 to x=A/2 is …. times the time taken to go from x=A/2 to a. The most suitable option for the blank space is

•  2
•  1/2
•  11/12
•  12/11

Solution

Q7. A rod length l is in motion such that its ends A and B are moving along the x-axis and the y-axis, respectively. It is given that dθ/dt=2 rad/s always. P is a fixed point on the rod. Let M be the projection of P on the x-axis. For the time interval in which θ changes from 0 to π/2, choose the correct statement

•  The acceleration of M is always direction towards right
•  M executes SHM
•  M moves with constant speed
•  M moves with constant acceleration

Solution

Q8.A particle of mass 4 kg moves between two points A and B on a smooth horizontal surface under the action of two forces such that when it is at a point P, the forces are F₁=2((PA) )N and F₂=2((PB))N. If the particle is released from rest from A, the time period of motion is

•  πs
•  2πs
•  3πs
•  √2 πs

Solution

Q9.Two bodies M and N of equal masses are suspended from two separate massless springs of force constants k_1 and k_2 respectively. If the two bodies oscillate vertically such that their maximum velocities are equal, the ratio of the amplitude M to that of N is

•  k₁/k₂
•  √(k₁/k₂ )
•  k₂/k₁
•  √(k₂/k₁)

Solution