A wave is described by the following equation:
y = (1.0 nm) sin 2π[t/.01s-x/2cm]
<br>(i) Calculate the time period and the wavelength of the wave.
<br>(ii) Obtain the expression for the velocity of the particles.
<br>(iii) Calculate the speed of the particles at x = 3.0 cm, 5.0 cm and 7.0 cm at t = 0.01 s.
<br>(iv) Calculate speed of the particles at x = 1.0 cm, at t = 0.011 s, 0.012 s and 0.013s.
The time period& of the wave:& T = 2π / (2π/0.01) = 100 s,& the wavelength is& λ = 2π / (2π/2) = 2 cm. The velocity is dy/dt = 200π cos 2π[t/.01-x/2] [nm/s] & V(x=3.0cm, t= 0.01 s) = 200π cos 2π(.01/.01-3/2) = -627.999 nm/s & V(x=5.0cm, t= 0.01 s) =& -627.992 nm/s & V(x=7.0cm, t= 0.01 s) =& -627.980 nm/s
A wave is described by the following equation: y = (1.0 nm) sin
2π[t/.01s-x/2cm] (i) Calculate the time period and the wavelength of
the wave. standard wave form is y= a sin (kx-wt) and my doubt is we
should consider (-) sing also while comparing time period and
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