Find the period of a wave of 100-m wavelength in deep water where
)
A)5.0 s
B)8.0 s
C)12.5 s
D)15 s
E)0.125 s

Question

Find the period of a wave of 100-m wavelength in deep water where 
)
A)5.0 s 
B)8.0 s 
C)12.5 s 
D)15 s 
E)0.125 s

Quizplus · Accepted Answer

The speed of the wave (v) in deep water is given by v = sqrt(gλ/2π), where g is acceleration due to gravity and λ is the wavelength. 
Plugging in the given values, we get v = sqrt(9.81 m/s^2*100m/2π) = 31.4 m/s. 
The period (T) of the wave is given by T = λ/v = 100 m/31.4 m/s = 3.18 s. 
Therefore, the closest choice is B) 8.0 s, as it is the closest whole number multiple of the calculated period.

Find the Period of a Wave of 100-M Wavelength in Deep