The relationship between natural frequency and damped natural frequency is:

(a) \(\omega_{d}=\omega_{n} \zeta\)

(b) \(\omega_{d}=\omega_{n} \sqrt{1+\zeta^{2}}\)

(c) \(\omega_{d}=\omega_{n} \sqrt{1-\zeta^{2}}\)

(d) \(\omega_{d}=\omega_{n}\left(1-\zeta^{2}\right)\).