The amplitude of a damped oscillation reduces to one third of its original value `a_(0)` in 20s. The amplitude of such oscillation after a period of 40s will be……………..

Options

A. `a_(0)//9`
B. `a_(0)//6`
C. `a_(0)//2`
D. `a_(0)//27`

Answer

A

Explanation

In the first 20s, the amplitude reduces to one-third of the original value, i.e., to `a_(0)//3`. In the next 20s, it will reduce to one-third of the reduced value, i.e., to `a_(0)//9`.