AIIMS2019Physics-Oscillations

AIIMS 2019 Physics Simple Harmonic Motion MCQ Question

Type: MCQ-numerical-Medium-Class 11

Maximum amplitude of SHM so block A will not slip on block B, K=100 N/m\text{K} = 100\text{ N/m}

Question diagram
A

2

B

4

C

6

D

8

Correct Answer

Option C

Detailed Explanation

To find the amplitude AA, we use the equation A=μgω2A = \frac{\mu g}{\omega^2}. Substituting μ=0.4\mu = 0.4, g=9.8m/s2g = 9.8 \, \text{m/s}^2, and ω=1001.5\omega = \sqrt{\frac{100}{1.5}}, we calculate AA. The correct calculation yields A=(0.4)(9.8)(1001.5)2=6cmA = \frac{(0.4)(9.8)}{(\sqrt{\frac{100}{1.5}})^2} = 6 \, \text{cm}, confirming option C. Other options are not applicable as they do not provide valid calculations or results related to the problem.

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