The wave function for a travelling wave on a taut string is in SI units sx- t-0-350msin 10- t-3- x- -4- What are wavelength and frequency of the wave-

On comparing the given statement with #160; #160; s(x,t) = Asin (wt kx+ ϕ) We get #160; #160; w = 10 π #160; #160; #160; #160; ...

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Standard XII

Physics

Frequency

The wave func...

Question

The wave function for a travelling wave on a taut string is (in SI units) $s (x, t) = (0.350 m) sin (10 π t - 3 π x + π / 4)$ . What are wavelength and frequency of the wave?

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Solution

On comparing the given statement with $s (x, t) = A sin (w t - k x + ϕ)$

We get $w = 10 π$ $k = 3 π$ $ϕ = \frac{π}{4}$

Frequency of wave $f = \frac{w}{2 π} = \frac{10 π}{2 π} = 5 H z$

Wavelength of wave $λ = \frac{2 π}{k} = \frac{2 π}{3 π} = 0.67 m$

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The wave function for a travelling wave on a taut string is (in SI units) s(x,t)=(0.350m)sin(10πt−3πx+π/4). What are wavelength and frequency of the wave?

On comparing the given statement with s(x,t)=Asin(wt−kx+ϕ)We get w=10 π k=3π ϕ=π4Frequency of wave f=w2π=10π2π=5 HzWavelength of wave λ=2πk=2π3π=0.67 m

The wave function for a travelling wave on a taut string is (in SI units) $s (x, t) = (0.350 m) sin (10 π t - 3 π x + π / 4)$ . What are wavelength and frequency of the wave?

On comparing the given statement with $s (x, t) = A sin (w t - k x + ϕ)$

We get $w = 10 π$ $k = 3 π$ $ϕ = \frac{π}{4}$

Frequency of wave $f = \frac{w}{2 π} = \frac{10 π}{2 π} = 5 H z$

Wavelength of wave $λ = \frac{2 π}{k} = \frac{2 π}{3 π} = 0.67 m$