AIPMT PRELIMS2007Physics-Oscillations
AIPMT PRELIMS 2007 Physics Simple Harmonic Motion MCQ Question
Type: MCQ-numerical-Medium-Class 11
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
Correct Answer
Option A
Detailed Explanation
For the mass to detach, the maximum acceleration must be equal to g. Using a = ω²A and ω = √(k/m), solving gives A = 0.1 m or 10 cm.
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