Wave Mechanics Question 552
Question: A body oscillates with SHM according to the equation (in SI units), $ x=5,\cos ,( 2\pi t\frac{\pi }{4} ) $ . Its instantaneous displacement at t = 1 second is
Options:
A) $ \frac{\sqrt{2}}{5}m $
B) $ \frac{1}{\sqrt{3}}m $
C) $ \frac{5}{\sqrt{2}}m $
D) $ \frac{1}{2}m $
Show Answer
Answer:
Correct Answer: C
Solution:
[c] Given $ t=1s $
$ \
Therefore x=5\cos ( 2\pi +\frac{\pi }{4} )=5\cos ,\frac{\pi }{4}=\frac{5}{\sqrt{2}}m $ i.e., displacement at $ t=1,s,is,\frac{5}{\sqrt{2}}m $
BETA
