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JEE PHYSICS MCQ: OSCILLATIONS

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Application +4 | -1
The displacement of two particles of same mass executing simple harmonic motions are x1=16sin⁡(10t+π2)x_1=16 \sin \left(10 t+\frac{\pi}{2}\right) and x2=25cos⁡(ωt)x_2=25 \cos (\omega t) respectively.
The value of ' ω\omega ' for which the energies of both the particles remain the same is
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Correct option: D
6.4 unit
Option D (6.4 unit) is correct because it is the value of ω\omega that equates the energies of the two particles, derived by setting E1=E2E_1 = E_2 and solving for ω2\omega_2.

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