MEDIUM

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Is restoring force in an SHM directed towards mean position?

Important Questions on Waves

MEDIUM

Physics>Waves and Thermodynamics>Waves>Simple Harmonic Motion

A body of mass

1 kg

is made to oscillate on a spring of force constant

15 N / m

. Calculate the frequency of vibrations.

EASY

Physics>Waves and Thermodynamics>Waves>Simple Harmonic Motion

The function of time representing a simple harmonic motion with a period of

\frac{π}{ω}

is :

MEDIUM

Physics>Waves and Thermodynamics>Waves>Simple Harmonic Motion

A wave along a string has the following equation

y = 0.05 \sin (28 t - 1.78 x) m

(where,

t

is in seconds and

x

is in meters). What are the amplitude

(A),

frequency

(f)

and wavelength

(λ)

of the wave ?

EASY

Physics>Waves and Thermodynamics>Waves>Simple Harmonic Motion

An object undergoing simple harmonic motion takes

0.5 s

to travel from one point of zero velocity to the next such point. The angular frequency of the motion is,

MEDIUM

Physics>Waves and Thermodynamics>Waves>Simple Harmonic Motion

A simple harmonic oscillator of frequency

1 Hz

has a phase of

1

radian. By how much should the origin be shifted in time so as to make the phase of the oscillator vanish. (time in seconds).

MEDIUM

Physics>Waves and Thermodynamics>Waves>Simple Harmonic Motion

A body of mass

1 kg

is made to oscillate on a spring of force constant

15 N / m

. Calculate the angular frequency

EASY

Physics>Waves and Thermodynamics>Waves>Simple Harmonic Motion

The time period of a simple pendulum inside a stationary lift is

T

. If the lift starts moving upwards with an acceleration of

\frac{g}{3}

, its time period will be,

EASY

Physics>Waves and Thermodynamics>Waves>Simple Harmonic Motion

Two massless springs with spring constants

2 k

and

9 k

, carry

50 g

and

100 g

masses at their free ends. These two masses oscillate vertically such that their maximum velocities are equal. Then, the ratio of their respective amplitudes will be :

EASY

Physics>Waves and Thermodynamics>Waves>Simple Harmonic Motion

The weight suspended from a spring oscillates up and down. The acceleration of weight will be zero at

EASY

Physics>Waves and Thermodynamics>Waves>Simple Harmonic Motion

A mass

M

is suspended from a spring of negligible mass. The spring is pulled a little and then released so that the mass executes

S . H . M .

of period

T

. If the mass is increased by

m

, the time period becomes

\frac{5 T}{3} .

What is the ratio

(\frac{M}{m})

EASY

Physics>Waves and Thermodynamics>Waves>Simple Harmonic Motion

For a particle performing linear SHM, its average speed over one oscillation is (

A =

amplitude of S.H.M.,

n =

frequency of oscillation)

MEDIUM

Physics>Waves and Thermodynamics>Waves>Simple Harmonic Motion

The displacement of a particle executing simple harmonic motion is given by,

y = A_{0} + A s i n ω t + B c o s ω t .

Then, the amplitude of its oscillation is given by

MEDIUM

Physics>Waves and Thermodynamics>Waves>Simple Harmonic Motion

A body of mass

M

and charge

q

is connected to a spring of spring constant

k

. It is oscillating along

x

-direction about its equilibrium position in the horizontal plane, taken to be at

x = 0

, with an amplitude

A

. An electric field

E

is applied along the

x

-direction. Which of the following statements is correct?

MEDIUM

Physics>Waves and Thermodynamics>Waves>Simple Harmonic Motion

An object was found to make oscillations governed by the equation

y = \cos^{2} (ω t + \frac{π}{4}) - 0.5

. The amplitude and angular frequency of these oscillations, respectively, are

HARD

Physics>Waves and Thermodynamics>Waves>Simple Harmonic Motion

A load of mass $m$ falls from a height $h$ on the scale pan hung from a spring as shown. If the spring constant is $k$ and the mass of the scale pan is zero and the mass $m$ does not bounce relative to the pan, then the amplitude of vibration is

Question Image

EASY

Physics>Waves and Thermodynamics>Waves>Simple Harmonic Motion

A particle of mass

m

is moving along the

x - a x i s

under the potential

V (x) = \frac{k x^{2}}{2} + \frac{λ}{x^{'}}

where

k

and

x^{'}

are positive constants of appropriate dimensions. The particle is slightly displaced from its equilibrium position. The particle oscillates with the angular frequency

(ω)

given by

EASY

Physics>Waves and Thermodynamics>Waves>Simple Harmonic Motion

A body of mass $0.01 kg$ executes simple harmonic motion about $x = 0$ under the influence of a force shown below. The period of the SHM is approximately

Question Image

EASY

Physics>Waves and Thermodynamics>Waves>Simple Harmonic Motion

A person is listening to a tone of

500 Hz

sitting at a distance of

450 m

from the source of the sound. What is the time interval between successive compressions from the source?

MEDIUM

Physics>Waves and Thermodynamics>Waves>Simple Harmonic Motion

A horizontal spring-block system of mass $2 kg$ executes SHM. When the block is passing through its equilibrium position, an object of mass $1 kg$ is put on it and the two move together. The new amplitude of vibration is ( $A$ being its initial amplitude)

EASY

Physics>Waves and Thermodynamics>Waves>Simple Harmonic Motion

In the arrangement shown in the figure, the spring has a spring constant of $2 N m^{- 1}$ . The mass $M = 3 kg$ and $m = 1 kg$ . Mass $M$ is in contact with a smooth surface. The coefficient of friction between the two blocks is $0.1$ . The time period of SHM executed by the system is:

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Is restoring force in an SHM directed towards mean position?

Important Questions on Waves

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