NEET Physics Work, Energy, Power & Collision / कार्य, ऊर्जा और शक्ति NEET PYQ-Work Energy Power and Collision

  • question_answer
    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 un stretched. The maximum extension produced in the length of the spring will be [AIPMT (S) 2009]

    A) \[Mg/k\]

    B) \[-\,2\text{ }Mg/k~\]

    C) \[4\,\,Mg/k\]

    D) \[Mg/2k\]

    Correct Answer: B

    Solution :

    Key Idea Use the law of conservation of energy.
    Let y be the extension in the spring.
    Applying conservation of energy
    \[mgx-\frac{1}{2}\,k{{x}^{2}}=0-0\Rightarrow x=\frac{2mg}{k}\]


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