Two pendulums oscillate with a constant phase difference of 90- and same amplitude- The maximum velocity of one is v- The maximum velocity of other will be

The correct option is C vTwo pendulums oscillate with a constant phase difference of 90^∘ . This can only be possible if there angular velocities are same ...

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Standard XII

Physics

KE & PE Graph

Two pendulums...

Question

Two pendulums oscillate with a constant phase difference of $90^{\circ}$ , and same amplitude. The maximum velocity of one is v. The maximum velocity of other will be

\sqrt{2} v

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v \sqrt{2}

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Solution

The correct option is C v
Two pendulums oscillate with a constant phase difference of $90^{\circ}$ . This can only be possible if there angular velocities are same. i.e.
$ω_{1} = ω_{2}$
$A_{1} = A_{2}$ $∵$ it is given
$\Rightarrow A_{1} ω_{1} = A_{2} ω_{2} \Rightarrow v_{m a x 1} = v_{m a x 2} \Rightarrow v_{m a x 2} = v$

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Two pendulums oscillate with a constant phase difference of 90∘, and same amplitude. The maximum velocity of one is v. The maximum velocity of other will be

The correct option is C vTwo pendulums oscillate with a constant phase difference of 90∘. This can only be possible if there angular velocities are same. i.e.ω1=ω2A1=A2 ∵ it is given⇒A1ω1=A2ω2⇒vmax1=vmax2⇒vmax2=v

Two pendulums oscillate with a constant phase difference of $90^{\circ}$ , and same amplitude. The maximum velocity of one is v. The maximum velocity of other will be