9
MCQ (Single Correct Answer)
The equation of motion of a particle is $x=a \cos (\alpha t)^2$. The motion is
A
periodic but not oscillatory
B
periodic and oscillatory
C
oscillatory but not periodic
D
neither periodic nor oscillatory
10
MCQ (Single Correct Answer)
A particle executing SHM has a maximum speed of $30 \mathrm{~cm} / \mathrm{s}$ and a maximum acceleration of $60 \mathrm{~cm} / \mathrm{s}^2$. The period of oscillation is
A
$\pi \mathrm{sec}$
B
$\frac{\pi}{2} \mathrm{sec}$
C
$2 \pi \mathrm{sec}$
D
$\frac{\pi}{t} \mathrm{sec}$
11
MCQ (Multiple Correct Answer)
When a mass $m$ is connected individually to two springs $S_1$ and $S_2$, the oscillation frequencies are $v_1$ and $v_2$. If the same mass is attached to the two springs as shown in figure, the oscillation frequency would be
A
$v_1+v_2$
B
$\sqrt{v_1^2+v_2^2}$
C
$\left(\frac{1}{v_1}+\frac{1}{v_2}\right)^{-1}$
D
$\sqrt{v_1^2-v_2^2}$
12
MCQ (Multiple Correct Answer)
The rotation of earth about its axis is
A
periodic motion
B
simple harmonic motion
C
periodic but not simple harmonic motion
D
non-periodic motion
13
MCQ (Multiple Correct Answer)
Motion of a ball bearing inside a smooth curved bowl, when released from a point slightly above the lower point is
A
simple harmonic motion
B
non-periodic motion
C
periodic motion
D
periodic but not SHM