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PhysicsSHMCalculation of time periodEasy2 minPYQ_2020

PhysicsEasysingle choice

The ratio of frequencies of oscillations of two simple pendulums is $3 : 4$ , then their lengths are in the ratio

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Solution:

Frequency of simple pendulum is given by $f ∴ \frac{3}{4} ∴ \frac{ℓ _{1}}{ℓ _{2}} = \frac{1}{2 π} \frac{g}{ℓ} ∴ \frac{f _{1}}{f _{2}} = \frac{ℓ _{2}}{ℓ _{1}} = \frac{ℓ _{2}}{ℓ _{1}} or \frac{9}{16} = \frac{ℓ _{2}}{ℓ _{1}} = \frac{16}{9}$

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

⏱ 2mℹ️ Source: PYQ_2020

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