AIPMT PRELIMS2009Physics-Oscillations

AIPMT PRELIMS 2009 Physics Simple Harmonic Motion MCQ Question

Type: MCQ-conceptual-Medium-Class 11

A block of mass M is attached to the lower end of a vertical spring. The spring is hung from a ceiling and has force constant k. The mass is released from rest with the spring initially unstretched. The maximum extension produced in the length of the spring will be:

A

2 Mg/k

B

4 Mg/k

C

Mg/2k

D

Mg/k

Correct Answer

Option D

Detailed Explanation

The maximum extension occurs when the gravitational force is balanced by the spring force, giving Mg = kx, hence x = Mg/k.

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