For a transvers wave travelling, along a straight line, the distance between two peaks (crests) is 5 m , while the distance between one crest and one trough is 1 . 5 m . The possible wavelengths (in m ) of the waves are:

Step-by-step solution

Trough to crest distance 1 .5 = 2 n 1 + 1 λ 2 ...... ( 1 ) Trough to trough distance 5 = n 2 λ ..... ( 2 ) from ( 1 ) and ( 2 ) 1 .5 5 = 2 n 1 + 1 2 n 2 3 n 2 = 10 n 1 + 5 n 1 and n 2 are integer ( 1 ) n 1 = 1 ,   n 2 = 5 ,   λ = 1 ( 2 ) n 1 = 4 ,   n 2 = 15 ,   λ = 1 / 3 ( 3 ) n 1 = 7 ,   n 2 = 25 ,   λ = 1 / 5