A wave is travelling along a string. At an instant, shape of the string is as shown in fig. At this instant, point $A$ is moving upwards. Which of the following statements is/are correct
Medium
Download our app for free and get startedPlay store
(d) Since $A$ is moving upwards, therefore, after an elemental time interval the wave will be as shown dotted in following fig. It means, the wave is travelling leftward. Therefore, $(a)$ is wrong.

Displacement amplitude of the wave means maximum possible displacement of medium particles due to propagation of the wave, which is equal to the displacement at $B$ at the instant shown in fig. Hence $(b)$ is correct.

The phase difference between two points will be equal to $\frac{\pi }{2}$ if distance between them is equal to $\frac{\lambda }{4}.$

Between $A$ and $C,$ the distance is less than $\frac{\lambda }{2}.$ It may be equal to $\frac{\lambda }{4}.$

Hence, phase difference between these two points may be equal to $\frac{\pi }{2}.$

art

Download our app
and get started for free

Experience the future of education. Simply download our apps or reach out to us for more information. Let's shape the future of learning together!No signup needed.*

Similar Questions

  • 1
    A car $P$ approaching a crossing at a speed of $10\, m/s$ sounds a horn of frequency $700\, Hz$ when $40\, m$ in front of the crossing. Speed of sound in air is $340\, m/s$. Another car $Q$ is at rest on a road which is perpendicular to the road on which car $P$ is reaching the crossing (see figure). The driver of car $Q$ hears the sound of the horn of car $P$ when he is $30\, m$ in front of the crossing. The apparent frequency heard by the driver of car $Q$ is .... $Hz$
    View Solution
  • 2
    A longitudinal wave is represented by $x =10 \sin 2 \pi\left( nt -\frac{ x }{\lambda}\right) \,cm$. The maximum particle velocity will be four times the wave velocity if the determined value of wavelength is equal to .....................
    View Solution
  • 3
    A hospital uses an ultrasonic scanner to locate tumours in a tissue. What is the wavelength of sound in the tissue in which the speed of sound is $1.7\; km s ^{-1}$ ? The operating frequency of the scanner is $4.2 \;MHz$
    View Solution
  • 4
    Sound waves in air are
    View Solution
  • 5
    Which of the following equations represents a wave
    View Solution
  • 6
    A rope of length $L$ and mass $M$ hangs freely from the ceiling. If the time taken by a transverse wave to travel from the bottom to the top of the rope is $T$, then time to cover first half length is
    View Solution
  • 7
    A steel wire has a length of $12.0 \;m$ and a mass of $2.10 \;kg .$ What should be the tension in the wire so that speed of a transverse wave on the wire equals the speed of sound in dry air at $20\,^{\circ} C =343\; m s ^{-1}$
    View Solution
  • 8
    An observer starts moving with uniform acceleration $'a'$ towards a stationary sound source of frequency $f.$ As the observer approaches the source, the apparent frequency $f'$ heard by the observer varies with time $t$ as:
    View Solution
  • 9
    Consider ten identical sources of sound all giving the same frequency but having phase angles which are random. If the average intensity of each source is ${I_0}$, the average of resultant intensity $I$ due to all these ten sources will be
    View Solution
  • 10
    A sound source $S$ is moving along a straight track with speed $v,$ and is emitting sound of frequency $v_{o}$ (see figure). An observer is standing at a finite clistance, at the point $O$, from the track. The time variation of frequency heard by the observer is best represented by

    $\left(t_{0}\right.$ represents the instant when the distance between the source and observer is minimum)

    View Solution