Question

In case of simple harmonic oscillators of each frequency n amplitude A mass of each is m
Column 1 Column 2
a) particles acceleration amplitude e) $2\pi nA$
b) particle velocity amplitude f)$-4{\pi }^2{n}^{2}A$
c) the frequency of K.E of oscillations g) $zero$
d) Average acceleration vector period h) $2n$

• A. $a-f,b-g,c-h,d-e$
• B. $a-g,b-e,c-h,d-f$
• C. $a-f,b-e,c-h,d-g$
• D. $a-h,b-e,c-f,d-h$

Answer 1

Answer: (C)

$a-f,b-e,c-h,d-g$

Particles acceleration amplitude
As frequency is n; $\omega =2\pi n$
$a=-{\omega }^{2}A$ $a=-4{\pi }^2{n}^{2}A$
Particle velocity $\forall =A\omega =2\pi nA$
In each oscillation there are two occasions when
the KE reaches maximum and minimum
thus frequency $=$ 2 times frequency $=$ 2n
Acceleration vector period is Zero because acceleration
has equal amounts of positive and negative cycles and its average is Zero.