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

Step-by-step solution

We know that, mechanical energy of oscillator lost in each cycle is proportional to the square of amplitude (A) . Then fractional change in energy E E d E E = d A^2 A^2 aligned & = 2 A d A A^2 =2 d A A & =2 1.5 %=3 % aligned