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Home » The displacement of a string is given by y(x,t) = 0.06 sin (2πx/3) cos (120πt) where x and y are in m and t in s. The length of the string is 1.5 m and its mass is 3.0 × 10-2kg.
The displacement of a string is given by y(x,t) = 0.06 sin (2πx/3) cos (120πt) where x and y are in m and t in s. The length of the string is 1.5 m and its mass is 3.0 × 10-2kg.
CBSE | Class 11 | NCERT Exemplar | Physics | Waves
The displacement of a string is given by y(x,t) = 0.06 sin (2πx/3) cos (120πt) where x and y are in m and t in s. The length of the string is 1.5 m and its mass is 3.0 × 10-2kg.

 a) it represents a progressive wave of frequency 60 Hz

b) it represents a stationary wave of frequency 60 Hz

c) it is the result of the superposition of two waves of wavelength 3 m, frequency 60 Hz each travelling with a speed of 180 m/s in the opposite direction

d) amplitude of this wave is constant

Answer:

The correct options are

b) it represents a stationary wave of frequency 60 Hz

c) it is the result of the superposition of two waves of wavelength 3 m, frequency 60 Hz each traveling with a speed of 180 m/s in the opposite direction

Explanation:

(B) The “sin” function has an x component, and the “cos” function has a t component, which depicts a stationary wave.
(C) In this case, we have:
 and 
So for frequency,
We know that:
i

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