A weakly damped harmonic oscillator of frequency n1 is driven by an external periodic force of frequency n2. When the steady state is reached, the frequency of the oscillator will be
A
n1
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
n2
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
C
n1+n22
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
(n1+n2)
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution
The correct option is Bn2 Given,
Frequency of weakly damped harmonic oscillator =n1
Frequency of external periodic force =n2
Steady state is achieved when external force has acted for a sufficiently long time. Therefore, system starts oscillating with the frequency of driving force. ∴ Frequency of oscillator will be equal to n2.