Tag: longitudinal and transverse waves

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Questions Related to longitudinal and transverse waves

Multiple choice physics properties of waves longitudinal and transverse waves travelling waves types of waves

A transverse wave travels along z-axis. The particles of the medium moves

  1. Along the z-axis

  2. Along the x-axis

  3. Along the y-axis

  4. In the x-y plane
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

The particles of medium moves perpendicular to the direction of the propagation of the wave in the case of transverse wave.

In the given question, a transverse wave travels along z-axis. All the lines in the X-Y plane are perpendicular to z-axis, hence the particle of the medium must move in the X-Y plane.
The correct option is D.

Multiple choice physics properties of waves longitudinal and transverse waves travelling waves types of waves

The particle displacement of a travelling longitudinal wave is represented by S=S (x,t). The midpoints of a compression zone and an adjacent rarefaction zone are represented by the letter 'C' and 'R' Which of the following is true?

  1. ${ \left| \partial S/\partial x \right| } _{ C }={ \left| \partial S/\partial x \right| } _{ R }$
  2. ${ \left| \partial S/\partial t \right| } _{ C }={ \left| \partial S/\partial t \right| } _{ R }=0$
  3. ${ \left( pressure \right) } _{ C }-{ \left( pressure \right) } _{ R }=2{ \left| \partial S/\partial x \right| } _{ C }x$ Bulk modulus of air.

  4. Particles of air are stationary mid-way between 'C' and 'R'.
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

In a longitudinal wave, the displacement gradient (dS/dx) represents the strain. At the center of a compression (C) and a rarefaction (R), the displacement is zero, but the magnitude of the strain (the slope of the displacement curve) is equal.

Multiple choice physics properties of waves longitudinal and transverse waves travelling waves types of waves

Two small boats are $10m$ apart on a lake. Each pops up and down with a period of $4.0 seconds$ due to wave motion on the surface of water. When one boat is at its highest point, the other boat is at its lowest point. Both boats are always within a single cycle of the waves. The speed of the waves is:

  1. $2.5m/s$
  2. $5.0m/s$
  3. $14m/s$
  4. $40m/s$
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

The distance between a crest and a trough is half a wavelength (lambda/2). Given 10m = lambda/2, the wavelength lambda is 20m. Using the wave speed formula v = lambda / T, where T = 4.0s, we get v = 20m / 4.0s = 5.0m/s.

Multiple choice physics properties of waves longitudinal and transverse waves travelling waves types of waves

Disturbance $y(x, t)$ of a wave propagating in the position x-direction is given by $y = \dfrac {1}{1 + x^{2}}$ at time $t = 0$ and by $y = \dfrac {1}{[1 + (x - 1^{2})]}$ at $t = 2\ s$, where $x$ and $y$ are in meters. The shape of the wave disturbance does not change during the propagation. The velocity of wave in m/s is

  1. $2.0$
  2. $4.0$
  3. $0.5$
  4. $1.0$
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Comparing the wave function at t = 0 and t = 2, the disturbance shifts from f(x) to f(x - 1), which means the wave profile shifted by 1 meter in 2 seconds. The wave velocity is distance divided by time, which is 1 / 2 = 0.5 m/s.

Multiple choice physics properties of waves longitudinal and transverse waves travelling waves types of waves

In gases which wave cannot propagate

  1. standing wave

  2. longitudinal wave

  3. transverse wave

  4. none
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Transverse waves cannot propagate in gases because there are no forces to cause motion perpendicular to the direction of the wave. A transverse wave propagates in a solid because each atom of the solid has an "equilibrium location" where the forces on it from all its neighboring atoms balance. If one atom is pulled out of its equilibrium location by a disturbance, it will tend to be pulled back to that location. However, when it's out of its equilibrium location, it pulls its neighbors out of their equilibrium locations too, and so on down the line. The result is that a transverse wave disturbance propagates through the material.