Question

One complete wave passes a putrefying pile of poached pickerel in 0.50 seconds. The piled pickerel protrude 20 cm along the beach. Calculate its wavelength

Answer 1

If the wave passes the putrefying pile of a poached pickerel in 0.5 seconds, then the wave has a period of 0.5s.

But we say that if F=1/T,
where F⇒frequency,
T⇒period.

F=1/0.5
= 2Hz

velocity of the wave = distance/time taken
= (20÷100)/0.5
= 0.2÷0.5
= 2/5

Now form the wave equation,
V=λF
Where V ⇒ velocity of the wave.
λ⇒wavelength of the wave.

So, λ=V/F

λ = 2/5 ÷ 2
=2/5 ×1/2
= 2/10
=0.2 m

The wavelength in cm is, 0.2×100 = 20 cm.