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When a wave travels in a medium, the particle displacement is given by the equation $y = a \sin 2 π (b t - c x)$ where a, b and c are constants. The maximum particle velocity will be twice the wave velocity if

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Important Questions on Wave Motion on a String

HARD

Physics>Oscillations and Waves>Wave Motion on a String>Terms in Wave Motion

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>Wave Motion on a String>Terms in Wave Motion

A transverse wave along a stretched string has a speed of

30 m s^{- 1}

and a frequency of

250 Hz

. The phase difference between two points on the string,

10 cm

apart, at the same instant is

HARD

Physics>Oscillations and Waves>Wave Motion on a String>Terms in Wave Motion

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:

HARD

Physics>Oscillations and Waves>Wave Motion on a String>Terms in Wave Motion

A point particle is acted upon by a restoring force

- k x^{3} .

The time period of oscillation is

T

when the amplitude is

A .

The time period for an amplitude

2 A

will be:

MEDIUM

Physics>Oscillations and Waves>Wave Motion on a String>Terms in Wave Motion

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>Wave Motion on a String>Terms in Wave Motion

On an average, a human heart is found to beat

72

times a minute. Its frequency and period are

EASY

Physics>Oscillations and Waves>Wave Motion on a String>Terms in Wave Motion

The phase difference between the following two waves $y_{2}$ and $y_{1}$ is:

$y_{1} = a \sin (ω t - k x)$

$y_{2} = b \cos (ω t - k x + \frac{π}{3})$

EASY

Physics>Oscillations and Waves>Wave Motion on a String>Terms in Wave Motion

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>Wave Motion on a String>Terms in Wave Motion

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

EASY

Physics>Oscillations and Waves>Wave Motion on a String>Terms in Wave Motion

A simple harmonic progressive wave is represented as

y = 0.03 s i n π (2 t - 0.01 x) m

. At a given instant of time, the phase difference between two particles

25 m

apart is

EASY

Physics>Oscillations and Waves>Wave Motion on a String>Terms in Wave Motion

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>Wave Motion on a String>Terms in Wave Motion

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

EASY

Physics>Oscillations and Waves>Wave Motion on a String>Terms in Wave Motion

Two waves are represented by:

x_{1} = A \sin (ω t + \frac{π}{6})

and

x_{2} = A \cos ω t

. Then the phase difference between them is

EASY

Physics>Oscillations and Waves>Wave Motion on a String>Terms in Wave Motion

The distance between two points differing in phase by

60 °

on a wave having wave velocity

360 m s^{- 1}

and frequency

500 Hz

EASY

Physics>Oscillations and Waves>Wave Motion on a String>Terms in Wave Motion

A transverse wave is represented by

x = A \sin (k x - ω t)

. The velocity of the wave is given by ________

MEDIUM

Physics>Oscillations and Waves>Wave Motion on a String>Terms in Wave Motion

A simple harmonic motion is represented by:

y = 5 (\sin 3 π t + \sqrt{3} \cos 3 π t) cm

The amplitude and time period of the motion are:

MEDIUM

Physics>Oscillations and Waves>Wave Motion on a String>Terms in Wave Motion

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>Wave Motion on a String>Terms in Wave Motion

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

EASY

Physics>Oscillations and Waves>Wave Motion on a String>Terms in Wave Motion

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>Wave Motion on a String>Terms in Wave Motion

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

When a wave travels in a medium, the particle displacement is given by the equation y=asin⁡2πbt-cx where a, b and c are constants. The maximum particle velocity will be twice the wave velocity if

Important Questions on Wave Motion on a String

Learn and Prepare for any exam you want !

When a wave travels in a medium, the particle displacement is given by the equation $y = a \sin 2 π (b t - c x)$ where a, b and c are constants. The maximum particle velocity will be twice the wave velocity if