question_answer

The displacement of an object attached to a spring and executing simple harmonic motion is given by\[2x+3y+z=1\]\[x+3y+2z=2\] metre. The time at which the maximum speed first occurs is [AIEEE 2007]

A)  0.5 s           

B)       0.75 s

C)  0.125s          

D)                   0.25s

Correct Answer: A

Solution :

[a] To determine the position, velocity etc; at first, we write the general representation of wave and then compare the given wave equation with the general wave equation. Given,               This gives,          At i.e., the object is at positive extreme, so to acquire maximum speed (i.e., to reach mean position) it takes th of time period.          Required time Where,         So, required time