AIIMS2019Physics-Mechanics

AIIMS 2019 Physics Simple Harmonic Motion MCQ Question

Type: MCQ-conceptual-Medium-Class 11

Find the maximum tension in the spring if initially spring at its natural length when block is released from rest.

Question diagram
A

4mg

B

mg/2

C

3mg/2

D

2mg

Correct Answer

Option D

Detailed Explanation

In this scenario, when the block is released from rest, it will fall under the influence of gravity, causing the spring to stretch. The maximum tension in the spring occurs at the point of maximum extension, which can be determined by considering the equilibrium of forces at that point. Since the spring is initially at its natural length, the maximum tension will equal the weight of the block (mg) plus the additional force due to the spring's extension, which can exceed 4mg depending on the spring constant and the distance stretched. Therefore, option D is correct as it indicates that the maximum tension can be greater than the provided options. The other options are incorrect as they do not account for the dynamics of the spring-mass system and the potential energy stored in the spring during maximum extension.

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