Sound WavesHard
Question
A wave disturvance in a medium is described by
y(x,t) = 0.02 cos
cos(10π)
where x and y are in meters and t is in seconds
y(x,t) = 0.02 cos
cos(10π)where x and y are in meters and t is in seconds
Options
A.A node occurs at x = 0.15 m
B.An antinode occurs at x = 0.3 m
C.The speed of wave is 5 ms-1
D.The wavelength of wave is 0.2 m
Solution
It is given that y(x,t) = 0.02 coscos(10πx)
A cos(ωt + π/2) cos kx
Node occurs when kx =
etc.
10 πx =
⇒ x = 0.05 m, 0.15 m option (a)
Antinode occurs when kx = π, 2π 3π etc.
10πx = π, 2π 3π
⇒ x = 0.1m, 0.2m, 0.3m option (b)
Speed of wave is given by
v =
= 
= 5 m/s option (c)
Wavelength is given by
λ =
m = 0.2m option (d)
cos(10πx) A cos(ωt + π/2) cos kx Node occurs when kx =
etc. 10 πx =
⇒ x = 0.05 m, 0.15 m option (a)
Antinode occurs when kx = π, 2π 3π etc.
10πx = π, 2π 3π
⇒ x = 0.1m, 0.2m, 0.3m option (b)
Speed of wave is given by
v =
= = 5 m/s option (c)Wavelength is given by
λ =
m = 0.2m option (d)Create a free account to view solution
View Solution FreeMore Sound Waves Questions
The diagram shows two water pulses which were originally produced at point A and are beginning to be reflected from a wi...The time period of a seconds pendulum is 2 sec.The spherical bob which is empty frominside has a mass 50 gram, This now ...An object of spcific gravity ρ is hung from a thin steel wire. he findamental frequency for transervse standing wav...In short wave communication wave of which of the following frequencies will be reflected back by the ionospheric layer h...A wave on a starting is travelling and the displacement of particles on it is given by x = A sin (2t - 0.1 x). Then the ...