1
AIPMT 2009
+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 2009
+4
-1
Which one of the following equations of motion represents simple harmonic motion ?

where k, k0, k1 and a are all positive.
A
Acceleration = $$-$$ k (x + a)
B
Acceleration = k(x + a)
C
Acceleration = $$-$$ $$\omega$$2x
D
Acceleration = $$-$$ k0x + k1x2
3
AIPMT 2008
+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
$$1:{10^2}$$
4
AIPMT 2007
+4
-1
A particle executes simple harmonic oscillation with an amplitude $$a$$. The period of oscillation is T. The minimum time taken by the particle to travel half of the amplitude from the equilibrium position is
A
T/8
B
T/12
C
T/2
D
T/4
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