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A body is moving in a room with velocity perpendicular to the walls separated by 5 meter. There is no friction and collision with walls is elastic. The motion of body……….a. is non-periodic b. is periodic but not simple harmonic c. is periodic and SHM d. periodic with variable time period
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Text solutionVerified
Sure! Here are step-by-step solutions for the problem:
Given that the function is periodic but not simple harmonic. We can write the function as:
where is the angular frequency, and and are the Fourier coefficients.
Since the function is periodic, we know that:
where is the period of the function.
If the function were simple harmonic, we could write it as:
where is the amplitude and is the phase angle.
However, since we know that the function is not simple harmonic, we cannot write it in this form.
Therefore, the solution is:
where is the angular frequency, and and are the Fourier coefficients.
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Question Text | A body is moving in a room with velocity perpendicular to the walls separated by 5 meter. There is no friction and collision with walls is elastic. The motion of body……….a. is non-periodic
b. is periodic but not simple harmonic
c. is periodic and SHM
d. periodic with variable time period
|
Topic | Waves & Oscillation |
Subject | Physics |
Class | Class 12 |
Answer Type | Text solution:1 |