JEE Main & Advanced Physics Simple Harmonic Motion Question Bank Assertion and Reason

  • question_answer
    Assertion             :       The amplitude of oscillation can never be infinite.  Reason                 :       The energy of oscillator is continuously dissipated.

    A)             If both assertion and reason are true and the reason is the correct explanation of the assertion.

    B)             If both assertion and reason are true but reason is not the correct explanation of the assertion.

    C)             If assertion is true but reason is false.

    D)             If the assertion and reason both are false.

    E)             If assertion is false but reason is true.

    Correct Answer: A

    Solution :

                       From equation, amplitude of oscillation           \[A=\frac{{{F}_{0}}/m}{\sqrt{{{({{\omega }^{2}}-\omega _{0}^{2})}^{2}}+{{(b\omega /m)}^{2}}}}\] In absence of damping force (b = 0), that the steady state amplitude approaches infinity as \[\omega \to {{\omega }_{0}}.\] That is, if there is no resistive force in the system and then it is possible to drive an oscillator with sinusoidal force at the resonance frequency, the amplitude of motion will build up without limit. This does not occur in practice because some damping is always present in real oscillation.


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