AIPMT MAINS2009Physics-Oscillations
AIPMT MAINS 2009 Physics Spring-Mass System MCQ Question
Type: MCQ-numerical-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 value 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 B
Detailed Explanation
The maximum extension occurs when the potential energy stored in the spring equals the gravitational potential energy lost by the mass. Using energy conservation, the extension is Mg/k.
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