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Question

Which of the following figures represents damped harmonic motion?


Correct Answer
A
Your Answer
B
Your Answer
C
Your Answer
D

Solution

The correct option is A
The oscillations in which the amplitude decreases gradually with the passage of time are called damped oscillations.

Equation of a damped oscillation is given by y=A0eγtsin(ωt+ϕ)
This equation will be satisfied by the graph in option (a).

Graph in option (b) represents motion of a particle with variations in amplitude, but the amplitude of oscillations doesn't continuously decrease with time. So, option (b) is a wrong answer.

Graph in option (c) represents a particle whose amplitude increases with time and becomes constant at steady state. So, option (c) is also wrong.

Graph in option (d) represents a particle whose amplitude decreases with time exponentially but has no oscillatory motion. Hence, option (d) is also wrong. 
Thus, option (a) is the correct answer.

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