1
AIEEE 2005
MCQ (Single Correct Answer)
+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
$${{ - \pi } \over 3}$$
2
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
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 2004
MCQ (Single Correct Answer)
+4
-1
The bob of a simple pendulum executes simple harmonic motion in water with a period $$t,$$ while the period of oscillation of the bob is $${t_0}$$ in air. Neglecting frictional force of water and given that the density of the bob is $$\left( {4/3} \right) \times 1000\,\,kg/{m^3}.$$ What relationship between $$t$$ and $${t_0}$$ is true
A
$$t = 2{t_0}$$
B
$$t = {t_0}/2$$
C
$$t = {t_0}$$
D
$$t = 4{t_0}$$
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