Ncert Exercises & Solutions

15.9 For the wave described in Exercise 15.8, plot the displacement (y) versus (t) graphs for x = 0, 2 and 4 cm. What are the shapes of these graphs? In which aspects does the oscillatory motion in the travelling wave differ from one point to another: amplitude, frequency or phase?

$The given transverse harmonic wave is :$
$y (x, t) = 3.0 \sin (36 t + 0.018 x + \frac{π}{4}) . . . (i)$
$For x = 0, y (0, t) = 3.0 \sin (36 t + \frac{π}{4})$
$Also, ω = \frac{2 π}{T} = 36 rad / s^{- 1}$
$∴ T = \frac{π}{8} \sec$

Now, plotting y vs. t graphs using the different values of t,

For x = 0, x = 2, and x = 4, the phases of the three waves will be different. This is because amplitude and frequency are constant for any change in x. The y-t plots of the three waves are shown in the given figure.

NEET Information

courses

Company

Botany Questions

Chemistry Questions

Physics Questions

Zoology Questions