Question

ok, the question is if the ratio of amplitudes of 2 waves is 2 : 3 , find the ratio of their frequencies. i have observed that the answer given by majority of the people is "1:1" and the reason being that frequency and amplitude don't depend on each other in any manner. but the thing is that it is not said that the frequencies are equal. why cant it be "x:y"
if u tell the proper answer i will mark u brainliest!!

Answer 1

because frequency depends on source as it us property of source. so it's ratio is 1:1.
also amplitude change due to change of medium.

Answer 2

the solution that i gave to you is only a special case there is generally no relation between these twoquantity(f and A). Now considering  the equation of the wave y(x,t)=Acos(kx−ωt), if we differentiate it with respect to t, our equation becomes v(x,t)=−ωAcos(kx−ωt), the substitution for ω=2πf yields v(x,t)=−2πfAcos(kx−2πft), if we consider the case of maximum velocity our equation becomes v= 2πfA, so the ratio of the frequency will be 3:2