The Total solution for NCERT class 6-12
The velocity of the oscillation at a given point and timeis given as:
Now, the equation of a propagating wave is given by:
Hence, the velocity of the wave oscillation at x = 1 cm and t = 1 s is not equal to the velocity of the wave propagation.
(b) Propagation constant is related to wavelength as:
Therefore, all the points at distances nλ
, i.e. ± 12.56 m, ± 25.12 m, … and so on for x = 1 cm, will have the same displacement as the x = 1 cm points at t = 2 s, 5 s, and 11 s.