AIPMT 2007 | Oscillations Question 35 | Physics

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

AIPMT 2007 Physics - Oscillations Question 36 English

10.0 cm

any value less than 12.0 cm

4.0 cm

8.0 cm

AIPMT 2007

MCQ (Single Correct Answer)

-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

T/8

T/12

T/2

T/4

AIPMT 2006

MCQ (Single Correct Answer)

-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

$$T \propto {1 \over {\sqrt m }}$$

$$T \propto \sqrt \rho $$

$$T \propto {1 \over {\sqrt A }}$$

$$T \propto {1 \over \rho }$$

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