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  • Displacement versus time curve for a particle executing SHM is shown in figure. Choose the correct statements.

Displacement versus time curve for a particle executing SHM is shown in figure. Choose the correct statements.
(a) Phase of the oscillator is same at t = 0s and t = 2 s
(b) Phase of the oscillator is same at t = 2s and t = 6 s
(c) Phase of the oscillator is same at t = 1s and t = 7 s
(d) Phase of the oscillator is same at t = 1s and t = 5 s


 

Answers (1)

The answer is the option (b) Phase of the oscillator is same at t = 2s & t = 6s and (d) The phase of the oscillator is the same at t = 1s & t = 5s

Explanation: If the mode of vibration of two particles is the same, then they are said to be in the same phase. That means, their distance will be n\lambda, where, n = 1, 2, 3,4, …..

(a) Here the particles are not in the same phase as the distance between them is \frac{\lambda }{2}.

(b) The particles are at a distance \lambda. Thus, they are in the same phase.

(c) The distance between particles is \lambda =\frac{\lambda }{2}=\frac{3\lambda }{2}. Thus, they are not in the same phase.

(d) The distance between the particles is \lambda. Thus, they are in the same phase.

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