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PhysicsSHMAngular SHMMedium2 minPYQ_2025

PhysicsMediumsingle choice

Two simple pendulums having lengths $l_{1}$ and $l_{2}$ with negligible string mass undergo angular displacements $θ_{1}$ and $θ_{2}$ , from their mean positions, respectively. If the angular accelerations of both pendulums are same, then which expression is correct?

Options:

Answer:

Solution:

$ω = \frac{g}{ℓ} α = - ω^{2} θ ∴ \frac{g}{ℓ _{1}} θ_{1} = \frac{g}{ℓ _{2}} θ_{2} \Rightarrow θ_{1} ℓ_{2} = θ_{2} ℓ_{2}$

Stream:JEESubject:PhysicsTopic:SHMSubtopic:Angular SHM

⏱ 2mℹ️ Source: PYQ_2025

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