How much `(` in per cen `)` does the free oscllation frequency `omega` of a circuit with quality factor `Q=5.0` differ from the natural oscillation frequency `omega_(0)` of that circuit ?

Explanation

`Q=(pi)/(betaT)=(omega)/( 2 beta)`
` :. omega=2 beta Q, beta=( omega)/( 2Q)`
Now ` omega_(0)=omegasqrt(1+(1)/(4Q^(2)))`or `omega=(omega_(0))/(sqrt(1+(1)/(4Q^(2))))`
or, `|(omega_(0) - omega)/( omega_(0))|xx100%~= (1)/(8Q^(2))xx100%=0.5%`