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in Physics by (79.8k points)

A particle performs harmonic oscillations along the x-axis according to the law 

x = A cos ω t .

Assuming the probability P of the particle to fall within an interval from –A to A to be equal to unity, find how the probability density dP/dx depends on x. Here dP denotes the probability of the particle within the interval from x to x + dx.

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The velocity of the particle at any time t is

Time taken by the particle in traversing a distance from x to x + dx is

Time taken by the particle in traversing the distance –A to A is T/2.

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