1
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
2
AIPMT 2007
+4
-1
A mass of 2.0 kg is put on a flat pan attached to a vertical spring fixed on the ground as shown in the figure. The mass of the spring and the pan is negligible.

When pressed slightly and released the mass executes a simple harmonic motion. The spring constant is 200 N/m. What should be the minimum amplitude of the motion so that the mass gets detached from the pan (take g = 10 m/s2).

A
10.0 cm
B
any value less than 12.0 cm
C
4.0 cm
D
8.0 cm
3
AIPMT 2007
+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
+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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