In a water tank,on throwing a stone 20 full ripples are produced in 1 sec.the distance a crest and a through is 10 cm.calculate:
(a) the wavelength of ripple
(b) frequncy of ripple
(c) velocity of the ripples.
Frequency=20
Wavelength=10*2=20cm=0.2m
.
. .V=wavelength*frequency=0.2*20=4.0m/s
wavelength=10 into 2 =20m.frequency=20hz.velocity=frequency into wavelength=20 into 20=400ms
To calculate the wavelength, frequency, and velocity of the ripples, we can use the formula:
Velocity (v) = Wavelength (λ) × Frequency (f)
(a) Wavelength (λ):
The distance between a crest and a trough is equal to half the wavelength. In this case, the distance is given as 10 cm. So the full wavelength will be 20 cm (crest + trough).
Wavelength (λ) = 20 cm = 0.2 m (converting cm to meters)
(b) Frequency (f):
The number of ripples produced in one second is given as 20. This corresponds to the frequency of the ripples.
Frequency (f) = 20 Hz (Hertz)
(c) Velocity (v):
Since we know the wavelength (λ) and the frequency (f), we can now calculate the velocity using the formula mentioned earlier.
Velocity (v) = Wavelength (λ) × Frequency (f)
= 0.2 m × 20 Hz
= 4 m/s
Therefore, the answers are:
(a) The wavelength of the ripple is 0.2 m.
(b) The frequency of the ripple is 20 Hz.
(c) The velocity of the ripples is 4 m/s.