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

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

 

Answers (1)

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.

Hence, the answer is option (b) and option (d).

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infoexpert24

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