The potential energy of a particle of mass 4 ~kg in motion along the x-axis is given by U=4(1- cos 4 x) J. The time period of the particle for small oscillation (sin θ θ) is ((π)/K) s. The value of K is _ _ _ _ _.

Oscillations and Waves: JEE Main 2022 Physics question

JEE Main 2022 · 28 Jul, Evening shift · Q68

JEE Main 202228 Jul, Evening shiftPhysicsMediumOscillations and Waves185× since 2002

The potential energy of a particle of mass

4 \mathrm{~kg}

in motion along the x-axis is given by

\mathrm{U}=4(1-\cos 4 x)

J. The time period of the particle for small oscillation

(\sin \theta \simeq \theta)

\left(\frac{\pi}{K}\right) s

. The value of

\mathrm{K}

is _________.

Your answerType your answer. Integers and decimals are accepted.

JEE Main 2022 Oscillations and Waves Question with Answer (28 Jul Evening shift, Q68) | JEE Arc