Test Details

Oscillations

MCQ

Mar 20, 11:00 PM

30 minutes

Mar 21, 11:00 PM

35.0 marks

MCQ

15 questions

Raushan Kumar

Raushan Kumar B.Tech., M. Tech., IIT Delhi MBA , University of California Former Deputy CEO Boeing Company * Produced AIR - 5 and 360 in IIT-JEE 2021 * Saket Jha scores 100 percentile in JEE main 2021 * Produced AIR -20 in NEET

Class Details

Physics

Maha Samkalp -3

Physics

A batch with 100% determination to secure All India Rank within 100

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Question Text

Question 1 :
Non harmonic motion is a motion of a particle in which

Question 2 :
In forced oscillation of a particle the amplitude is maximum for a frequency $\omega_1$ of force, while the energy is maximum for a frequency $\omega_2$ of the force, then:

Question 3 :
The equation of a simple harmonic motion is given by $y=6\sin{10\pi t}+8\cos{10\pi t}$. The initial phase of this motion is _____

Question 4 :
The vertical extension in a light spring by a weight of $1\ kg$ suspended from the wire is $9.8\ cm$. The period of oscillation:

Question 5 :
Assertion: An elastic spring of force constant $k$ is stretched by a small length $x$. The work done in extending the spring by a further length $x$ is $2k{x}^{2}$ Reason: The work done in extending an elastic spring by a length $x$ is proportional to ${x}^{2}$

Question 6 :
The elastic potential energy of a stretched spring is given by $E=50{x}^{2}$ where $x$ is the displacement in meter and $E$ is in joule, then the force constant of the spring is

Question 7 :
A point mass 0.1 kg in SHM of amplitude 0.1 m. When the particle passes through the mean position, its kinetic energy is 8x10$^{-3}$J. The equation of motion of this particle if the initial phase of oscillation is $45^{\circ}$ is:<br/>

Question 8 :
An object of mass 0.2 kg executes SHM along x-axis with a frequency of $\dfrac{25}{\pi}Hz$. At the position x=0.04 m the object has kinetic energy 0.5 J. The amplitude of oscillation will be:

Question 9 :
A plank with a small block on top of it is under going vertical SHM. Its period is $2\:s$. The minimum amplitude at which the block will separate from plank is:

Question 10 :
The kinetic energy and the potential energy of a particle executing S.H.M. are equal. The ratio of its displacement and amplitude will be

Question 11 :
For a particle performing linear S.H.M. Its average speed over one oscillation is (a = amplitude of S.H.M, n = frequency of oscillation)

Question 12 :
A particle is performing SHM of amplitude "A" and time period "T". Find the time taken by the particle to go from 0 to A /$\sqrt{2}$.

Question 13 :
A particle executes SHM on a straight line path. The amplitude of oscillation is 2 cm. When the displacement of the particle from the mean position is 1 cm, the numerical value of the magnitude of acceleration is equal to the numerical value of the magnitude of the velocity. The frequency of SHM is:

Question 14 :
A point particle of mass $0.1\ kg$ is executing S.H.M of amplitude of $0.1\ m$. When the particle passes through the mean position, its kinetic energi is $18\times 10^{-3}\ J$. The equation of motion of this particle when the initial phase of oscillation is $45^o$ can be given by :<br>

Question 15 :
A spring mass system oscillates with a frequency $v$. If it is taken in an elevator slowly accelerating upward, the frequency will:

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