NCERT Class 11 Physics Solutions: Chapter 15 – Waves-Part 5

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Question 15.9:

For the wave described in Exercise, plot the displacement graphs for What are the shapes of these graphs? In which aspects does the oscillatory motion in travelling wave differ from one point to another: amplitude, frequency or phase?

Answer:

All the waves have different phases.

The given transverse harmonic wave is:

For , the equation reduces to:

Also,

Now, plotting graphs using the different values of , as listed in the given table.

the y vs.t graphs using the different values of t is showing …

Figure Shown the Y vs.t Graphs

For the phases of the three waves will get changed. This is because amplitude and frequency are invariant for any change in The plots of the three waves are shown in the given figure:

the y-t plots of the three waves showing in figure.

Figure Shown the Y-T Plots of the Three Waves

Question 15.10:

For the travelling harmonic wave

Where are in . Calculate the phase difference between oscillatory motion of two points separated by a distance of

Answer:

Equation for a travelling harmonic wave is given as:

Where,

Propagation constant,

Amplitude,

Angular frequency,

Phase difference is given by the relation:

For

:

For

For

For