Question

A long wave travels in 20m depth of water. If the amplitude of this wave in 20m depth water is 1.1 m , what is the amplitude of the same wave in 6.2 m depth? Assume the wave is traveling perpendicular to the coast.

Answer 1

A = 3.55 m

Step-by-step explanation:

given,

depth of water = 20 m

Amplitude of wave at 20 m depth = 1.1 m

Amplitude at the depth of 6.2 m

amplitude is inversely proportional to depth of water

so,

`(A_1)/(A_2) = (d_2)/(d_1)`

`A_2= A_1(d_1)/(d_2)`

`A_2= 1.1(20)/(6.2)`

A = 3.55 m

hence, the amplitude of the wave at the depth of 6.2 m is 3.55 m.