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AP EAMCET · PHYSICS · Oscillations

If the amplitude of a lightly damped oscillator decreases by \(1.5 \%\) then the mechanical energy of the oscillator lost in each cycle is

  1. A \(1.5 \%\)
  2. B \(0.75 \%\)
  3. C \(6 \%\)
  4. D \(3 \%\)
Verified Solution

Answer & Solution

Correct Answer

(D) \(3 \%\)

Step-by-step Solution

Detailed explanation

We know that, mechanical energy of oscillator lost in each cycle is proportional to the square of amplitude \((A)\). Then fractional change in energy \(\frac{\Delta E}{E} \simeq \frac{d E}{E}=\frac{d A^2}{A^2}\)…