Question

Which of the following correctly compares the two waves?
(1) Wave X has half the amplitude of wave Y.
(2) Wave X has twice the amplitude of wave Y.
(3) Wave X has a lower frequency and longer wavelength than wave Y.
(4) Wave X has a higher frequency and shorter wavelength than wave Y.

Answer 1

Your problem has been solved.

Answer 2

answer : option (3) wave X has lower frequency and longer wavelength than wave Y.

explanation : we know,
wavelength is the minimum separation between two successive crest or two successive trough.

here two graph X and Y are given,

see figure, here it is clearly shown that wavelength of graph X is longer than wavelength of graph Y.
e.g., $\lambda_X>\lambda_Y$

as we know, frequency is inversely proportional to wavelength of wave
so, $\eta_X<\eta_Y$
e.g., frequency of wave X is lower than frequency of wave Y.

hence, option (3) is correct.