Physics · JEE

Simple harmonic motion (S.H.M.) and its equation, phase Mock Test for JEE

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Syllabus context

Part of Oscillations and Waves in JEE Main Physics.

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Q1PhysicsUnit 10: Oscillations and Waves

Assertion The graph between velocity and displacement for a harmonic oscillator is an ellipse. Reason Velocity does not change uniformly with displacement in harmonic motion.

Q2PhysicsUnit 10: Oscillations and Waves

The maximum acceleration of a particle in SHM is made two times keeping the maximum speed to be constant. It is possible when

Q3PhysicsUnit 10: Oscillations and Waves

Assertion For a particle performing SHM, its speed decreases as it goes away from the mean position. Reason In SHM, the acceleration is always opposite to the velocity of the particle.

Q4PhysicsUnit 10: Oscillations and Waves

A particle moves along the X-axis according to the equation

\boldsymbol{x}=

10 \sin ^{3}(\pi t) .

the amplitudes and frequencies of component SHMs are

Q5PhysicsUnit 10: Oscillations and Waves

The displacement

x

of a particle in motion is given in terms of time by

x(x-

=1-5 \cos \omega t

Q6PhysicsUnit 10: Oscillations and Waves

A particle executing S.H.M. completes a distance (taking friction as negligible) in one complete one time period.

Q7PhysicsUnit 10: Oscillations and Waves

A particle performing SHM with a frequency of

5 \mathrm{Hz}

and amplitude

2 \mathrm{cm}

is initially in the positive extreme position. The equation for its displacement is

Q8PhysicsUnit 10: Oscillations and Waves

Assertion Path of a particle in SHM is always a straight line. Reason All straight line motions are not simple harmonic.

Q9PhysicsUnit 10: Oscillations and Waves

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:

Q10PhysicsUnit 10: Oscillations and Waves

In the equations below,

A, B, \omega

and

\phi

are constants;

y

and

t

are variables;

t

represents time. Only one of the following equations does not represent SHM. Which one is that?

Q11PhysicsUnit 10: Oscillations and Waves

Three simple harmonic motions in the same direction having the same amplitude

A

and same period are superposed. If each differs in phase from the next by

45^{0},

then

Q12PhysicsUnit 10: Oscillations and Waves

A particle is acted simultaneously by mutually perpendicular simple harmonic motions

x=a c o s \omega t

and

y=

asinwt. The trajectory of motion of the particle will be

Q13PhysicsUnit 10: Oscillations and Waves

The phase difference between the displacement and acceleration of particle executing S.H.M. in radian

Q14PhysicsUnit 10: Oscillations and Waves

A particle is in SHM. Then the graph of its acceleration as a function of displacement is a

Q15PhysicsUnit 10: Oscillations and Waves

The displacement-time graph of a particle executing SHM is shown in the figure. Then This question has multiple correct options

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