1
AIEEE 2005
MCQ (Single Correct Answer)
+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 $${{2\pi } \over \omega }$$
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 2005
MCQ (Single Correct Answer)
+4
-1
When two tuning forks (fork $$1$$ and fork $$2$$) are sounded simultaneously, $$4$$ beats per second are heated. Now, some tape is attached on the prong of the fork $$2.$$ When the tuning forks are sounded again, $$6$$ beats per second are heard. If the frequency of fork $$1$$ is $$200$$ $$Hz$$, then what was the original frequency of fork $$2$$ ?
A
$$202$$ $$Hz$$
B
$$200$$ $$Hz$$
C
$$204$$ $$Hz$$
D
$$196$$ $$Hz$$
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