Question

A woman is standing in the ocean, and she notices that after a wave crest passes, five more crests pass in a time of 50.0 s. The distance between two successive crests is 32 m. Determine, if possible, the wave's
(a) period.
(b) frequency.
(c) wavelength.
(d) speed.
(e) amplitude.
If it is not possible to determine any of these quantities, then so state.

Answer 1

Answer

given,

number of crest (N)= 5

time(t) = 50 s

distance between to successive crest = 32 m

a) Period

   $T = \dfrac{t}{N}$

   $T = \dfrac{50}{5}$

  $T = 10\ s$

b) frequency

   $f = \dfrac{1}{T}$

   $f = \dfrac{1}{10}$

   $f =0.1\ Hz$

c) wavelength

   distance between to consecutive crest is wavelength

    wavelength = 32 m

d) speed

         v = f λ

         v = 0.1 x 32

         v = 3.2 m/s

e) Amplitude

    We cannot determine amplitude because data is not given.