Tag: properties of waves

Questions Related to properties of waves

Particles in the combination of longitudinal and transverse waves moves in 

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

  1. straight line

  2. circles

  3. rectangles

  4. vibrates

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Correct Option: B
Explanation:

Particles move in circular paths at the surface of a medium and hence form at the boundary of two mediums.

The correct option is (b)

Waves created in Tsunami are

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

  1. Longitudinal waves

  2. Transverse waves

  3. Longitudinal and transverse waves

  4. Neither longitudinal or transverse

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Correct Option: C
Explanation:

Tsunami waves are water waves and hence have both the elements of transverse and longitudinal.

Thus option (c) is the correct option

Two particles in a medium are vibrating with a path difference of $10$ m and corresponding time difference is $0.1$s. The speed of wave in the medium is?

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

  1. $100$ m/s

  2. $300$ m/s

  3. $50$ m/s

  4. $200$ m/s

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Correct Option: A
Explanation:

Path difference=10m

time difference=0.1 sec

Speed= $\dfrac{10}{0.1} $ m/s

$=100$ m/s

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

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

  1. Along the z-axis

  2. Along the x-axis

  3. Along the y-axis

  4. In the x-y plane

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Correct Option: D
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.

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?

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

  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'.

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Correct Option: A

The equation of a transverse wave travelling in a rope is given by $y = 5\sin (4t - 0.02x)$, where $y$ and $x$ are in cm and time $t$ is in second.
Then the maximum transverse speed of wave in the rope is

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

  1. $125\ cm/s$

  2. $200\ cm/s$

  3. $250\ cm/s$

  4. $100\ cm/s$

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Correct Option: B

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:

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

  1. $2.5m/s$

  2. $5.0m/s$

  3. $14m/s$

  4. $40m/s$

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Correct Option: B

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

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

  1. $2.0$

  2. $4.0$

  3. $0.5$

  4. $1.0$

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Correct Option: B

In gases which wave cannot propagate

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

  1. standing wave

  2. longitudinal wave

  3. transverse wave

  4. none

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Correct Option: C
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.

A transverse wave consists of:

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

  1. only crest

  2. only trough

  3. both crest and trough

  4. rarefaction and compressions

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Correct Option: C
Explanation:

A transverse wave travels through a medium in the form of crests and troughs.

Hence it consists of both crests and troughs
Option C is the right answer