1
AIEEE 2006
MCQ (Single Correct Answer)
+4
-1
A coin is placed on a horizontal platform which undergoes vertical simple harmonic motoin of angular frequency $$\omega .$$ The amplitude of oscillation is gradually increased. The coin will leave contact with the platform for the first time
A
at the mean position of the platform
B
for an amplitude of $${g \over {{\omega ^2}}}$$
C
For an amplitude of $${{{g^2}} \over {{\omega ^2}}}$$
D
at the height position of the platform
2
AIEEE 2006
MCQ (Single Correct Answer)
+4
-1
Starting from the origin a body oscillates simple harmonically with a period of $$2$$ $$s.$$ After what time will its kinetic energy be $$75\% $$ of the total energy?
A
$${1 \over 6}s$$
B
$${1 \over 4}s$$
C
$${1 \over 3}s$$
D
$${1 \over 12}s$$
3
AIEEE 2005
MCQ (Single Correct Answer)
+4
-1
If a simple harmonic motion is represented by $${{{d^2}x} \over {d{t^2}}} + \alpha x = 0.$$ its time period is
A
$${{2\pi } \over {\sqrt \alpha }}$$
B
$${{2\pi } \over \alpha }$$
C
$$2\pi \sqrt \alpha $$
D
$$2\pi \alpha $$
4
AIEEE 2005
MCQ (Single Correct Answer)
+4
-1
The bob of a simple pendulum is a spherical hollow ball filled with water. A plugged hole near the bottom of the oscillating bob gets suddenly unplugged. During observation, till water is coming out, the time period of oscillation would
A
first decrease and then increase to the original value
B
first increase and then decrease to the original value
C
increase towards a saturation value
D
remain unchanged
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