Q.

Which of the following curves possibly represent one-dimensional motion of a particle         [2025]

Choose the correct answer from the options given below:

1 A, B and D only  
2 A, B and C only  
3 A and B only  
4 A, C and D only  

Ans.

(1)

A. Phase increase with time in SHM, ϕ = kt + C

For example, in SHM, x = A sin ϕ

 Correct

B. In SHM Velocity and displacement are related in elliptical/circular relation

i.e.v2+x2 = constant, it can be 1 D motion

 Correct

C. At same time particle can't have two velocities  Incorrect.

D. Distance always increases  Correct

Hence A, B and D are correct.