The wave number (k) and the angular frequency of a wave are 6.2rad/m and 12rad/s respectively. Which of the followings could be the equation of the wave? a. 8sin(12x-6.2t)
b. 8sin(6.2x-12t)
c. 12 sin (6.2x-8t)
d. all of the above

B.

Explanation:

The general equation of a wave is expressed as

A is the amplitude of the wave

k is the wave number and it is expressed as

is the angular frequency expressed as

is the wavelength and f is the angular frequency

Given k = 6.2rad/m and

On substituting this value into the general wave equation;

From the expression gotten, the only equation that could be the equation of the wave is

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