The equation y = A sin2(kx -ωt) represents a wave motion with(a) amp

1.	The equation y = A sin2(kx -ωt) represents a wave motion with(a) amplitude A, frequency ω/2π (b) amplitude A/2, frequency ω/π(c) amplitude 2A, frequency ω/4π(d) does not represent a wave motion.
Answer» (b) amplitude A/2, frequency ω/π EXPLANATION: y = A sin²(kx-⍵t) →y =½A{1-cos(2kx-2⍵t)} →y' = ½Acos(2kx-2⍵t) It represents a wave motion with amplitude A/2 and frequency 2⍵/2π i.e. ⍵/π

The equation y = A sin2(kx -ωt) represents a wave motion with(a) amplitude A, frequency ω/2π (b) amplitude A/2, frequency ω/π(c) amplitude 2A, frequency ω/4π(d) does not represent a wave motion.

Answer»

(b) amplitude A/2, frequency ω/π

EXPLANATION:

y = A sin²(kx-⍵t)

→y =½A*{1-cos(2kx-2⍵t)}

→y' = ½A*cos(2kx-2⍵t)

It represents a wave motion with amplitude A/2 and frequency 2⍵/2π i.e. ⍵/π