The equation of a damped simple harmonic motion is `m(d^2x)/(dt^2)+b(dx)/(dt)+kx=0`. Then the angular frequency of oscillation is

Options

A. `omega=((k)/(m)-(b^(2))/(4m^(2)))^(1//2)`
B. `omega=((k)/(m)-(b)/(4m))^(1//2)`
C. `omega=((k)/(m)-(b^(2))/(4m))^(1//2)`
D. `omega=((k)/(m)-(b^(2))/(4m^(2)))`

Answer

A

Explanation

For damped harmonic oscillation.
`omega=sqrt(omega_(0)^(2)-lamda^(2))=((k)/(m)-(b^(2))/(4m^(2)))^(1//2)`