The equation of progressive is y=3cos(60t+2x) where x and y are in meters and t in secs .Which of the following statement is wrong ?
the wave velocity of 30ms^-1
the wave length is πm
the amplitude is 3m
the frequency is 30Hz
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Answers
Heya !
Here's your answer:-
The equation of a given progressive wave is
y=5sin(100πt−0.4πx) ..(i)
The standard equation of a progressive wave is
y=asin(ωt−Kx) ...(ii)
Comparing (i) and (ii), we get
a=5m,ω=100π rad s
−1
,k=o.4πm
−1
(1) Amplitude of the wave, a=5m
(2) Wavelength of the wave, λ=
k
2π
=
0.4π
2π
=5m
(3)Frequency of the wave, υ=
2π
ω
=
2π
100π
=50Hz
(4) Velocity of the wave, ν=υλ=(50s−1(5m)=250ms−1.
Answer:
(1) Amplitude of the wave, a=5m
(2) Wavelength of the wave, λ= k 2π = 0.4π 2π =5m
(3)Frequency of the wave, υ= 2π ω = 2π 100π =50Hz
(4) Velocity of the wave, ν=υλ=(50s⁻¹(5m)=250ms⁻¹
Explanation:
The wave pace method says it's miles the made of wavelength and the frequency of the wave. I.e., Wave pace (v) mathematically is given with the aid of using, ⇒v=wk.
The wavelength is calculated from the wave velocity and frequency with the aid of using λ = wave velocity/frequency, or λ = v / f.
The amplitude of a wave refers back to the most quantity of displacement of a particle at the medium from its relaxation function. In a sense, the amplitude is the space from relaxation to crest. Similarly, the amplitude may be measured from the relaxation function to the trough function.
The equation of a given revolutionary wave is
y=5sin(100πt−0.4πx) ..(i)
The popular equation of a revolutionary wave is
y=asin(ωt−Kx) ...(ii)
Comparing (i) and (ii), we get
a=5m,ω=100π rad s ⁻¹ ,okay=o.4πm⁻¹
(1) Amplitude of the wave, a=5m
(2) Wavelength of the wave, λ= okay 2π = 0.4π 2π =5m
(3)Frequency of the wave, υ= 2π ω = 2π 100π =50Hz
(4) Velocity of the wave, ν=υλ=(50s⁻¹(5m)=250ms⁻¹
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