Question

A floating leaf oscillates up and down two complete cycles in one second as a water wave passes by. The wave's wavelength is 10 meters. What is the wave's speed?A) 40 m/s
B) 2 m/s
C) 20 m/s
D) 10 m/s
E) more than 40 m/s

Answer 1

Answer:

C) 20 m/s

Explanation:

Wave: A wave is a disturbance that travels through a medium and transfers energy from one point to another, without causing any permanent displacement of the medium itself. Examples of wave are, water wave, sound wave, light rays, radio waves. etc.

The velocity of a moving wave is

v = λf ............................ Equation 1

Where v = speed of the wave, λ = wave length, f = frequency of the wave.

Given: f = 2 Hz (two complete cycles in one seconds), λ = 10 meters

Substituting these values into equation 1

v = 2×10

v = 20 m/s.

Thus the speed of the wave = 20 m/s

The right option is C) 20 m/s

Answer 2

The  speed of the wave will be  $V=20\frac{m}{s}$  

what will be the speed of the wavelength?

A wave is actually a disturbance that travels from a medium from one position to another position there are different types of the waves like mechanical electromagnetic sound waves.

The velocity of a propagating wave is given by

$V=\lambda f$

Where

v = speed of the wave,

λ = wavelength,

f = frequency of the wave.

It is given:

f = 2 Hz (two complete cycles in one second),

λ = 10 meters

By putting the values in the formula

$V= 2\times 10$

$V=20\dfrac{m}{s}$

The  speed of the wave will be  $V=20\frac{m}{s}$  

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