1
AIPMT 2007
MCQ (Single Correct Answer)
+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).

AIPMT 2007 Physics - Oscillations Question 36 English
A
10.0 cm
B
any value less than 12.0 cm
C
4.0 cm
D
8.0 cm
2
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
3
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 $$\pi $$
4
AIPMT 2006
MCQ (Single Correct Answer)
+4
-1
A rectangular block of mass m and area of cross-section A floats in a liquid of density $$\rho $$. If it is given a small vertical displacement from equilibrium it undergoes with a time period T, then
A
$$T \propto {1 \over {\sqrt m }}$$
B
$$T \propto \sqrt \rho $$
C
$$T \propto {1 \over {\sqrt A }}$$
D
$$T \propto {1 \over \rho }$$
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