Question

A $20$g particle moves in SHM with a frequency of $3$ oscillations per second and amplitude of $5$ cm.The total distance does the particle move during one oscillation is

• A. $10cm$
• B. $15cm$
• C. $20cm$
• D. $25cm$

Answer 1

Answer: (C)

$20cm$

$f=3$ oscillation per second
$w=2\pi f=6\pi \frac{rad}{sec}$
In one oscillation the particle moves to one extreme from mean position comes back to mean and then to the other extreme and then to the mean, that means 4 times the amplitude. This accounts to $20$ cm.