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NEET AIPMT SOLVED PAPER 2001

  • question_answer
                      In SHM restoring force is \[F=-kx,\] where k is force constant, x is displacement and A is amplitude of motion, then total energy depends upon:                                                                                                            

    A)                 k, A and M                         

    B)                 k, x, M 

    C)                 k, A                       

    D)                 k, x

    Correct Answer: C

    Solution :

                    In SHM, the total energy = potential energy + kinetic energy                 or E = U + K                 \[=\frac{1}{2}m{{\omega }^{2}}{{x}^{2}}+\frac{1}{2}m{{\omega }^{2}}({{A}^{2}}-{{x}^{2}})\]                 \[=\frac{1}{2}m{{\omega }^{2}}{{A}^{2}}\]                 \[=\frac{1}{2}k{{A}^{2}}\]                 where k = force constant = \[m{{\omega }^{2}}\]                 Thus, total energy depends on k and A.


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