1
AIEEE 2011
MCQ (Single Correct Answer)
+4
-1
A mass $$M,$$ attached to a horizontal spring, executes $$S.H.M.$$ with amplitude $${A_1}.$$ When the mass $$M$$ passes through its mean position then a smaller mass $$m$$ is placed over it and both of them move together with amplitude $${A_2}.$$ The ratio of $$\left( {{{{A_1}} \over {{A_2}}}} \right)$$ is :
A
$${{M + m} \over M}$$
B
$${\left( {{M \over {M + m}}} \right)^{{1 \over 2}}}$$
C
$${\left( {{{M + m} \over M}} \right)^{{1 \over 2}}}$$
D
$${M \over {M + m}}$$
2
AIEEE 2011
MCQ (Single Correct Answer)
+4
-1
Two particles are executing simple harmonic motion of the same amplitude $$A$$ and frequency $$\omega $$ along the $$x$$-axis. Their mean position is separated by distance $${X_0}\left( {{X_0} > A} \right)$$. If the maximum separation between them is $$\left( {{X_0} + A} \right),$$ the phase difference between their motion is:
A
$${\pi \over 3}$$
B
$${\pi \over 4}$$
C
$${\pi \over 6}$$
D
$${\pi \over 2}$$
3
AIEEE 2009
MCQ (Single Correct Answer)
+4
-1
If $$x,$$ $$v$$ and $$a$$ denote the displacement, the velocity and the acceleration of a particle executing simple harmonic motion of time period $$T,$$ then, which of the following does not change with time?
A
$$aT/x$$
B
$$aT + 2\pi v$$
C
$$aT/v$$
D
$${a^2}{T^2} + 4{\pi ^2}{v^2}$$
4
AIEEE 2007
MCQ (Single Correct Answer)
+4
-1
A particle of mass $$m$$ executes simple harmonic motion with amplitude a and frequency $$v.$$ The average kinetic energy during its motion from the position of equilibrium to the end is
A
$$2{\pi ^2}\,m{a^2}{v^2}$$
B
$${\pi ^2}\,m{a^2}{v^2}$$
C
$${1 \over 4}\,m{a^2}{v^2}$$
D
$$4{\pi ^2}m{a^2}{v^2}$$
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