Physics Simple Harmonic Motion (Oscillations) JEE Main / Advanced Problems ( Previous Years) MCQ (Single Correct)

Two independent harmonic oscillators of equal mass are oscillating about the origin with angular frequencies ꞷ 1 and ꞷ 2 and have total energies E 1 and E 2 , respectively. The variations of their momenta p with positions x are shown in figures. If and , then the correct equation(s) is (are):

A
E 1 ꞷ 1 = E 2 ꞷ 2
B
C
ꞷ 1 ꞷ 2 = n 2
D

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Verified by Experts
The correct answer is:
CHECK THE SOLUTION.

(b, d)

For first oscillator

b = maꞷ 1

= = n 2

E 1 =

= × n 2 =

For Second oscillator

= 1

= n 2

E 2 =

= =

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