Questions
The amplitude of vibration of a particle is given by where and are positive. The condition for a single resonant frequency is
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a
b2=4ac
b
b2>4ac
c
b2=5ac
d
b2=7ac
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Correct option is A
For resonance, Amplitude is maximum (infinity) as denominator function is quadratic equation ax2+bx+c=0 aω2-bω+c=0Roots of ω , ω = +b±b2−4ac2a if ω = 0 ⇒ b2−4ac=0 b2=4acSimilar Questions
The amplitude of a damped oscillator becomes half in one minute. The amplitude after 3 minute will be times the original, where X is
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