EASY

Earn 100

Define the angular frequency?

Important Questions on Waves

MEDIUM

Physics>Oscillations and Waves>Waves>Transverse and Longitudinal waves

A transverse wave of frequency

500 Hz

and speed

100 m s^{- 1}

is travelling in the positive,

x

direction on a long string. A time

t = 0 s

the displacements at

x = 0.0 m

and at

x = 0.25 m

are

0.0 m

and

0.02 m,

respectively. The displacement at

x = 0.2 m

t = 5 \times 10^{4} s

is,

EASY

Physics>Oscillations and Waves>Waves>Transverse and Longitudinal waves

Two simple harmonic motion, are represented by the equations $y_{1} = 10 \sin (3 π t + \frac{π}{3}); y_{2} = 5 (\sin 3 π t + \sqrt{3} \cos 3 π t)$ . Ratio of amplitude of $y_{1}$ to $y_{2} = x : 1$ . The value of $x$ is

EASY

Physics>Oscillations and Waves>Waves>Transverse and Longitudinal waves

A travelling harmonic wave is represented by the equation

y (x, t) = 10^{- 3} \sin (50 t + 2 x),

where

x

and

y

are in meter and

t

is in seconds. Which of the following is a correct statement about the wave?

EASY

Physics>Oscillations and Waves>Waves>Transverse and Longitudinal waves

A progressive wave travelling along the positive

x -

direction is represented by

y (x, t) = A s i n (k x - ω t + ϕ)

. Its snapshot at

t = 0

is given in the figure.
Question Image

For this wave, the phase

ϕ

is:

MEDIUM

Physics>Oscillations and Waves>Waves>Transverse and Longitudinal waves

A transverse wave is represented by :

y = \frac{10}{π} sin (\frac{2 π}{T} t - \frac{2 π}{λ} x)

For what value of the wavelength the wave velocity is twice the maximum particle velocity?

EASY

Physics>Oscillations and Waves>Waves>Transverse and Longitudinal waves

A simple wave motion is represented by $y = 5 (\sin 4 π t + \sqrt{3} \cos 4 π t)$ . Its amplitude is

MEDIUM

Physics>Oscillations and Waves>Waves>Transverse and Longitudinal waves

A longitudinal wave is represented by

y = 10 \sin 2 π (n t - \frac{x}{λ}) cm

. The maximum particle velocity will be four times the wave velocity if the determined value of wavelength is equal to

MEDIUM

Physics>Oscillations and Waves>Waves>Transverse and Longitudinal waves

A transverse wave propagating along $x$ -axis is represented by

$y (x, t) = 8.0 \sin (0.5 π x - 4 π t - \frac{π}{4})$

where $x$ is in meters and $t$ is in seconds. The speed of the wave is

MEDIUM

Physics>Oscillations and Waves>Waves>Transverse and Longitudinal waves

A travelling wave in a medium is given by the equation

y = asin (ωt - kx)

. The maximum acceleration of the particle in the medium is

HARD

Physics>Oscillations and Waves>Waves>Transverse and Longitudinal waves

A particle of mass

\frac{2}{3} kg

with velocity

v = - 15 m s^{- 1}

t = - 2 s

is acted upon by a force

F = k - β t^{2}

. Here,

k = 8 N

and

β = 2 N s^{- 2}

. The motion is one-dimensional. Then, the speed at which the particle acceleration is zero again, is

MEDIUM

Physics>Oscillations and Waves>Waves>Transverse and Longitudinal waves

Assume that the displacement

(s)

of air is proportional to the pressure difference

(Δ p)

created by a sound wave. Displacement

(s)

further depends on the speed of sound

(v)

, density of air

(ρ)

and the frequency

(f)

. If

Δ p = 10 Pa, n = 300 m s^{- 1}, p = 1 kg m^{- 3}

and

f = 1000 Hz

, then

s

will be of the order of (take the multiplicative constant to be

1

)

EASY

Physics>Oscillations and Waves>Waves>Transverse and Longitudinal waves

Consider a wire with density

(d)

and stress

(σ) .

For the same density, if the stress increases

2

times, the speed of the transverse waves along the wire changes by

MEDIUM

Physics>Oscillations and Waves>Waves>Transverse and Longitudinal waves

The driver of bus approaching a big wall notices that the frequency of his bus's horn changes from

420 Hz

490 Hz

when he hears it after it gets reflected from the wall. Find the speed of the bus if speed of the sound is

330 {ms}^{- 1}

EASY

Physics>Oscillations and Waves>Waves>Transverse and Longitudinal waves

The figure below shows pressure variation in two different sound waves in air with time at a given position. Both the figures are drawn to the same scale.

Question Image

Which of the following statement is true?

EASY

Physics>Oscillations and Waves>Waves>Transverse and Longitudinal waves

In a resonance tube experiment when the tube is filled with water up to a height of

17.0 cm,

from bottom, it resonates with a given tuning fork. When the water level is raised the next resonance with the same tuning fork occurs at a height of

24.5 cm .

If the velocity of sound in air is

330 m s^{- 1},

the tuning fork frequency is :

EASY

Physics>Oscillations and Waves>Waves>Transverse and Longitudinal waves

A pendulum vibrates with a time period of

1

second. The sound produced in it is in the range of

HARD

Physics>Oscillations and Waves>Waves>Transverse and Longitudinal waves

A ball is moving uniformly in a circular path of radius

1 m

with a time period of

1.5 s

. If the ball is suddenly stopped at

t = 8.3 s,

the magnitude of the displacement of the ball with respect to its position at

t = 0 s

is closest to:

EASY

Physics>Oscillations and Waves>Waves>Transverse and Longitudinal waves

A transverse wave described by

y = (0.02 m) \sin [(1.0 m^{- 1}) x + (30 s^{- 1}) t]

propagates on a stretched string having a linear mass density of

1.2 \times 10^{- 4} kg m^{- 1}

. Tension in the string is

EASY

Physics>Oscillations and Waves>Waves>Transverse and Longitudinal waves

The displacement of a wave is represented by

y = 0.6 \times 10^{- 3} \sin (500 t - 0.05 x),

where all the quantities are in their proper units. The maximum particle velocity

(i n m s^{- 1})

of the medium is

MEDIUM

Physics>Oscillations and Waves>Waves>Transverse and Longitudinal waves

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:

Define the angular frequency?

Important Questions on Waves

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