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JEE PYQ: Oscillations Question 22

Question 22 - 2020 (02 Sep 2020 Shift 2)

The displacement time graph of a particle executing S.H.M. is given in figure. Which of the following statements is/are true for this motion? (a) The force is zero at $t = \frac{3T}{4}$ (b) The acceleration is maximum at $t = T$ (c) The speed is maximum at $t = \frac{T}{4}$ (d) The P.E. is equal to K.E. of the oscillation at $t = \frac{T}{2}$

(1) (a), (b) and (d)

(2) (b), (c) and (d)

(3) (a), (b) and (c)

(4) (a) and (d)

Show Answer

Answer: (3)

Solution

(a) At $3T/4$, particle at mean position, force = 0. True. (b) At $T$, particle at extreme, acceleration max. True. (c) At $T/4$, particle at mean, speed max. True. (d) At $T/2$, particle at extreme, KE = 0. False.


Learning Progress: Step 22 of 43 in this series