Question

The equation y = A sin (kx - ωt) represent s a wave with amplitude ......... and frequency .......
(a) A, ω/2π
(b) A/2, ω/π
(c) 2A, ω/4π
(d) √A, ω/2π

Answer 1

Answer:

(a) A , ω/2π

Explanation:

The given equation is

y = A sin (kx - ωt) ......(1)

The standard equation of a trigonometric periodic function is given by

y= A.sin(ω.t+c)........(2)

where,  A= amplitide

              ω=2.π.f=angular frequency

       and c= phase shift

by comparing equation (1) and (2), we get

        amplitude =A

  and frequecy=ω/2π

Hence, the amplitude and frequency of given periodic function is A and ω/2π respectively.

Answer 2

Answer:

Option (a) is correct

Explanation:

Since it is given that the equation y = A sin (kx - ωt) represent s a wave.

we know that this is a general equation of wave in which y represents displacement, A represents amplitude of wave, ω represents angular frequency, k represents wave number and t represents instantaneous time.

we know that

ω =2πf         where f=frequency

so

f=ω/2π

So wave having A as amplitude and ω/2π as frequency.

So, option (a) is correct.