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Under what condition angular frequency ω of the damped oscillator would be equivalent to angular velocity Ω of the undamped oscillator.
  • a)
    Velocity of oscillator is small
  • b)
    Damping constant, b is small
  • c)
    Damping constant ,b is large
  • d)
    Force applied is small
Correct answer is option 'B'. Can you explain this answer?
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The angular frequency of a system depends on the frequency and the period of the system. The angular frequency is defined as the rate at which an object rotates around a fixed point or axis. It is measured in radians per second (rad/s).

The angular frequency (ω) of a system can be calculated using the formula:

ω = 2πf = 2π/T

Where:
- ω is the angular frequency
- f is the frequency of the system (measured in hertz, Hz)
- T is the period of the system (measured in seconds, s)

Therefore, the condition under which the angular frequency is determined is when the frequency or period of the system is known.
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