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Physics - SHM Question with Solution | TestHub

PhysicsSHMCalculation of time periodEasy2 minPYQ_2020

PhysicsEasysingle choice

A particle moves on x-axis according to the equation $x = x_{0} \sin^{2} ω t$ , the motion is simple harmonic

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Answer:

Solution:

$x = x_{0} \sin^{2} ω t = \frac{x_{0}}{2} (1 - \cos 2 ω t) = \frac{x_{0}}{2} - \frac{x_{0}}{2} \cos 2 ω t$

Frequency $ω^{'} = 2 ω$

$\Rightarrow \frac{2 π}{T^{'}} = 2 ω$

$\Rightarrow T^{'} = (\frac{π}{ω})$

Amplitude = $\frac{x_{0}}{2}$

Stream:NTA_ABHYAS_NEETSubject:PhysicsTopic:SHMSubtopic:Calculation of time period

⏱ 2mℹ️ Source: PYQ_2020

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