CBSE Class 11-science Answered
The amplitude of simple harmonic oscillation is doubled. How would this affect :
(i) Time period
(ii) Maximum velocity
(iii) Acceleration at mean position,
(iv) Kinetic energy at mean position?
(i) The time period of oscillation of simple harmonic oscillator is
Since the time period is independent of amplitude of vibration, therefore, time period remains unchanged on doubling the amplitude of oscillation.
(ii) Maximum velocity of particle undergoing simple harmonic oscillation is
Where A is amplitude. On doubling the amplitude the maximum velocity becomes twice.
(iii) Acceleration at mean position is zero, independent of amplitude of vibration. Therefore, acceleration at mean position remains unaffected.
(iv) Kinetic energy at mean position
If amplitude of oscillation gets doubled, then kinetic energy at mean position increases to four times.
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