A forced oscillator is acted upon by a force F- F -sin- t- The amplitude of oscillation is given by 55-2-2 - 36- - 9- The resonant angular frequency is

The correct option is D 9 unit At resonance, amplitude of oscillation is maximum ⇒ 2ω^2 36ω + 9 is maximum ⇒ 4ω 36 = 0 (derivative is zero) ...

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Standard X

Physics

Forced Oscillations

A forced osci...

Question

A forced oscillator is acted upon by a force $F = F_{\circ} s i n ω t .$ . The amplitude of oscillation is given by $\frac{55}{\sqrt{2 ω^{2} - 36 ω + 9}}$ . The resonant angular frequency is

2 u n i t

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9 u n i t

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18 u n i t

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36 u n i t

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Solution

The correct option is D $9 u n i t$
At resonance, amplitude of oscillation is maximum
$\Rightarrow 2 ω^{2} - 36 ω + 9$ is maximum
$\Rightarrow 4 ω - 36 = 0$ (derivative is zero)
$\Rightarrow ω = 9$

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A forced oscillator is acted upon by a force F=F∘sinωt.. The amplitude of oscillation is given by 55√2ω2−36ω+9. The resonant angular frequency is

The correct option is D 9 unitAt resonance, amplitude of oscillation is maximum⇒2ω2−36ω+9 is maximum⇒4ω−36=0 (derivative is zero)⇒ω=9

A forced oscillator is acted upon by a force $F = F_{\circ} s i n ω t .$ . The amplitude of oscillation is given by $\frac{55}{\sqrt{2 ω^{2} - 36 ω + 9}}$ . The resonant angular frequency is

The correct option is D $9 u n i t$
At resonance, amplitude of oscillation is maximum
$\Rightarrow 2 ω^{2} - 36 ω + 9$ is maximum
$\Rightarrow 4 ω - 36 = 0$ (derivative is zero)
$\Rightarrow ω = 9$