waves associated with a moving particle under suitable conditions

MEDIUM

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Which term describes the highest point of a tide?

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Important Questions on Oscillations

HARD

Physics>Oscillations and Waves>Oscillations>Simple Harmonic Motion

Four electrons, each of mass

m_{e}

are in a one dimensional box of size

L

. Assume that, the electrons are non-interacting, obey the Pauli exclusion principle and are described by standing De Broglie waves confined within the box. Define

α = \frac{h^{2}}{8 m_{e} L^{2}}

and

U_{0}

to be the ground state energy. Then,

EASY

Physics>Oscillations and Waves>Oscillations>Simple Harmonic Motion

In Raman scattering, Stokes and Antistokes lines respectively represents lines with ______ and ______ wavelength.

EASY

Physics>Oscillations and Waves>Oscillations>Simple Harmonic Motion

Matter waves are

HARD

Physics>Oscillations and Waves>Oscillations>Simple Harmonic Motion

Two masses

m

and

\frac{m}{2}

are connected at the two ends of a massless rigid rod of length

l .

The rod is suspended by a thin wire of torsional constant

k

at the centre of mass of the rod-mass system (see figure). Because of torsional constant

k,

the restoring torque is

τ = k θ

for angular displacement

θ .

If the rod is rotated by

θ_{0}

and released, the tension in it when it passes through its mean position will be:
Question Image

EASY

Physics>Oscillations and Waves>Oscillations>Simple Harmonic Motion

A simple pendulum of length

L

has mass

M

and it oscillates freely with amplitude

A

. At the extreme position, its potential energy is (

g

= acceleration due to gravity)

EASY

Physics>Oscillations and Waves>Oscillations>Simple Harmonic Motion

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

MEDIUM

Physics>Oscillations and Waves>Oscillations>Simple Harmonic Motion

If the uncertainty in the position of an electron is

10^{- 10} m,

then the value of uncertainty in its momentum will be _____

kg {ms}^{- 1} . (h = 6.62 \times 10^{- 34} J^{- s})

EASY

Physics>Oscillations and Waves>Oscillations>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>Oscillations and Waves>Oscillations>Simple Harmonic Motion

A particle is performing SHM starting from extreme position. Graphical representation shows that, between displacement and acceleration, there is a phase difference of

MEDIUM

Physics>Oscillations and Waves>Oscillations>Simple Harmonic Motion

A transverse wave travels on a taut steel wire with a velocity of

v

when tension in it is

2.06 \times 10^{4} N .

When the tension is changed to

T,

the velocity changed to

\frac{v}{2} .

The value of

T

is close to:

EASY

Physics>Oscillations and Waves>Oscillations>Simple Harmonic Motion

A uniform rope of length

10 m

and mass

3 kg

hangs vertically from a rigid support. A block of mass

1 kg

is attached to the free end of the rope. A transverse pulse of wavelength

0.05 m

is produced at the lower end of the rope. The wavelength of the pulse when it reaches the top of the rope is

EASY

Physics>Oscillations and Waves>Oscillations>Simple Harmonic Motion

The frequency of an electromagnetic wave is

6 \times 10^{15} s^{- 1}

. Its wave number would be

MEDIUM

Physics>Oscillations and Waves>Oscillations>Simple Harmonic Motion

A transverse harmonic wave on a string is described by

y (x, t) = 3.0 \sin (36 t + 0.018 x + \frac{π}{4})

where

x

and

y

are in

cm

and

t

s

. The positive direction of

x

is from left to right.

Plot the displacement $(y)$ versus $(t)$ graphs for $x = 0, 2$ and $4 cm$ . What are the shapes of these graphs? In which aspects does the oscillatory motion in travelling wave differ from one point to another: amplitude, frequency or phase?

MEDIUM

Physics>Oscillations and Waves>Oscillations>Simple Harmonic Motion

The equation of a SHM is given by y=

10 \sin (\frac{2 π}{45} t + a)

. If the displacement is 5 cm at t=0, then the total phase at t=7.5s is

MEDIUM

Physics>Oscillations and Waves>Oscillations>Simple Harmonic Motion

A uniform rope of length 10 m and mass 3 kg hangs vertically from a rigid support. A block of mass 1 kg is attached to the free end of the rope. A transverse pulse of wavelength 0.05 m is produced at the lower end of the rope. The wavelength of the pulse when it reaches the top of the rope is

MEDIUM

Physics>Oscillations and Waves>Oscillations>Simple Harmonic Motion

A stone dropped from the top of a tower of height $300 m$ high splashes into the water of a pond near the base of the tower. When is the splash heard at the top given that the speed of sound in air is $340 {ms}^{- 1}$ ? $(g = 9.8 {ms}^{- 2})$

EASY

Physics>Oscillations and Waves>Oscillations>Simple Harmonic Motion

A plane progressive wave is given by y=2cos 6.284 (30t-x). What is period of the wave?

MEDIUM

Physics>Oscillations and Waves>Oscillations>Simple Harmonic Motion

The equation of a wave is given by

y = 10 \sin (\frac{2 π}{45} t + a)

. If the displacement is

5 cm

t = 0

, then the total phase at

t = 7.5 s

MEDIUM

Physics>Oscillations and Waves>Oscillations>Simple Harmonic Motion

At a moment in a progressive wave, the phase of a particle executing SHM is

\frac{π}{3}

. Then the phase of the particle

15 cm

ahead and at time

\frac{T}{2}

will be, if the wavelength is

60 cm

EASY

Physics>Oscillations and Waves>Oscillations>Simple Harmonic Motion

A metal wire of linear mass density of

9.8 g m^{- 1}

is stretched with a tension of

10 kg - wt

between two rigid supports

1

metre apart. The wire passes at its middle point between the poles of a permanent magnet, and it vibrates in resonance when carrying an alternating current of frequency

υ

. The frequency

υ

of the alternating source is

Which term describes the highest point of a tide?

Important Questions on Oscillations

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