Wave Mechanics Question 560
Question: Two particles execute SHM on same straight line with same mean position, same time period 6 second and same amplitude 5cm. Both the particles start SHM from their mean position (in same direction) with a time gap of 1 second. The maximum separation between the two particles during their motion is
Options:
A) 2cm
B) 3cm
C) 4cm
D) 5cm
Show Answer
Answer:
Correct Answer: D
Solution:
[d] Figure shows the mapping of the two SHMs with circular motions having phase difference $ \phi =\omega t=\frac{2\pi }{6}\times 1=\frac{\pi }{3}rad $ The maximum separation between the two particles is $ {S _{\max }}=2A,\sin ,\frac{\pi }{6} $
$ or,{S _{\max }}=2\times 5\times \frac{1}{2}=5cm. $
BETA
