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

Answer:

A  = 3.55 m

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,                                      

$\dfrac{A_1}{A_2} = \dfrac{d_2}{d_1}$

$A_2= A_1\dfrac{d_1}{d_2}$

$A_2= 1.1\dfrac{20}{6.2}$

A  = 3.55 m

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