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

  • question_answer
    Assertion             :       Damped oscillation indicates loss of energy.  Reason                 :       The energy loss in damped oscillation may be due to friction, air resistance etc.

    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: B

    Solution :

                       Energy of damped oscillator at an any instant t is given by                    \[E={{E}_{0}}{{e}^{-bt/m}}\] [where \[{{E}_{0}}=\frac{1}{2}k{{x}^{2}}\]= maximum energy]                  Due to damping forces the amplitude of oscillator will go on decreasing with time whose energy is expressed by above equation.


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