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Two simple pendulums having lengths \({l}_{1}\) and \({l}_{2}\) with negligible string mass undergo angular displacement…

Q1

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

[JEE Main 2025, 4 Apr (Shift 1)]

a

\({\theta }_{1}{l}_{2}^{2}={\theta }_{2}{l}_{1}^{2}\)

b

\({\theta }_{1}{l}_{1}={\theta }_{2}{l}_{2}\)

c

\({\theta }_{1}{l}_{1}^{2}={\theta }_{2}{l}_{2}^{2}\)

d

\({\theta }_{1}{l}_{2}={\theta }_{2}{l}_{1}\)

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