The amplitude of damped oscillator becomes half in one minute. The amplitude after 3 minutes will be `1//x` times the original, where x is

Options

A. ` 2 xx 3`
B. ` 2^(3) `
C. ` 3 xx 2^(2) `
D. `3^(2) `

Answer

B

Explanation

After 1 minute ` A_(1) = A/ 2`
After 2 minutes ` A_(2) = A/4`
After 3 minutes `A_(3) = A/8 = A/2^(3) :. X = 2^(3) `