1
AIPMT 2009
MCQ (Single Correct Answer)
+4
-1
A simple pendulum performs simple harmonic motion about x = 0 with an amplitude a and time period T. The speed of the pendulum at x = a/2 will be
A
$${{\pi a} \over T}$$
B
$${{3{\pi ^2}a} \over T}$$
C
$${{\pi a\sqrt 3 } \over T}$$
D
$${{\pi a\sqrt 3 } \over {2T}}$$
2
AIPMT 2008
MCQ (Single Correct Answer)
+4
-1
Two simple harmonic motions of angular frequency 100 and 1000 rad s$$-$$1 have the same displacement amplitude. The ratio of their maximum acceleration is
A
$$1:{10^3}$$
B
$$1:{10^4}$$
C
$$1:10$$
D
$$1:{10^2}$$
3
AIPMT 2007
MCQ (Single Correct Answer)
+4
-1
The particle executing simple harmonic motion has a kinetic energy K0cos2$$\omega $$t. The maximum values of the potential energy and the total energy are respectively
A
K0/2 and K0
B
K0 and 2K0
C
K0 and K0
D
0 and 2k0
4
AIPMT 2007
MCQ (Single Correct Answer)
+4
-1
The phase difference between the instantaneous velocity and acceleration of a particle executing simple harmonic motion is
A
$$\pi $$
B
0.707 $$\pi $$
C
zero
D
0.5 $$\pi $$
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