1
AIEEE 2006
+4
-1
The maximum velocity of a particle, executing simple harmonic motion with an amplitude $$7$$ $$mm,$$ is $$4.4$$ $$m/s.$$ The period of oscillation is
A
$$0.01$$ $$s$$
B
$$10$$ $$s$$
C
$$0.1$$ $$s$$
D
$$100$$ $$s$$
2
AIEEE 2005
+4
-1
The function $${\sin ^2}\left( {\omega t} \right)$$ represents
A
a periodic, but not $$SHM$$ with a period $${\pi \over \omega }$$
B
a periodic, but not $$SHM$$ with a period $${{2\pi } \over \omega }$$
C
a $$SHM$$ with a period $${\pi \over \omega }$$
D
a $$SHM$$ with a period $${{2\pi } \over \omega }$$
3
AIEEE 2005
+4
-1
Two simple harmonic motions are represented by the equations $${y_1} = 0.1\,\sin \left( {100\pi t + {\pi \over 3}} \right)$$ and $${y_2} = 0.1\,\cos \,\pi t.$$ The phase difference of the velocity of particle $$1$$ with respect to the velocity of particle $$2$$ is
A
$${\pi \over 3}$$
B
$${{ - \pi } \over 6}$$
C
$${\pi \over 6}$$
D
$${{ - \pi } \over 3}$$
4
AIEEE 2005
+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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