The graph shows a wave moving from left to right.If the period of this wave motion is 50 ms,the wave is moving with a velocity of
A)40$\pi$ cm/s
B)1.6$\pi$ m/s
C)1.6 m/s
D)80 cm/s
E)0.40 cm/s

Question

The graph shows a wave moving from left to right.If the period of this wave motion is 50 ms,the wave is moving with a velocity of 
A)40$\pi$ cm/s 
B)1.6$\pi$ m/s 
C)1.6 m/s 
D)80 cm/s 
E)0.40 cm/s

Quizplus · Accepted Answer

The velocity of a wave is given by the formula:

v = λ/T

where v is velocity, λ is wavelength, and T is period.

From the graph, we can see that one wavelength spans from 0 to 20 cm. Therefore,

λ = 20 cm

The period is given in the question as 50 ms, which is the time for one complete cycle of the wave. We need to convert this to seconds:

T = 50 ms = 0.05 s

Substituting the values into the formula above:

v = (20 cm)/(0.05 s) = 400 cm/s = 4 m/s

Therefore, the wave is moving with a velocity of 1.6 m/s (option C).

The Graph Shows a Wave Moving from Left to Right π\piπ

The Graph Shows a Wave Moving from Left to Right $\pi$