Consider the function fx cosbsqrt of x where b 628 cm-05a, Ask an Expert

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Consider the function f(x) = cos(b*sqrt of x), where b= 6.28 cm^-0.5.

a) Argue that this wave has crests at x=0.1 cm, 4cm, 9cm, and so on.

b) sketch a graph of this function , and argue that it looks like a wave whose wavelength is increasing as x increases .

c) estimate the local wavelength of this function at x=4.0cm by averaging the distance to adjacent crests on either side.

d) compute the local wavelength of this function at x=4.0cm and compare with your answer for part c .

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