InterviewSolution
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InterviewSolution
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Two independent harmonic oscillators of equal mass are oscillating about the origin with angular frequencies `(omega_1) and (omega_2) and have total energies (E_1 and E_2), respectively. The variations of their momenta (p) with positions (x) are shown (s) is (are). A. `E_(1)omega_(1) = E_(2)omega_(2)`B. `(omega_(2))/(omega_(1)) - n^(2)`C. `omega_(1)omega_(2) = n^(2)`D. `(E_(1))/(omega_(1)) = (E_(2))/(omega_(2))` |
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Answer» Correct Answer - B::D For forst oscillator `E_(1) = (1)/(2) m omega_(1)^(2)a^(2)`, and `p = mv = m omega_(1)a = b rArr (a)/(b) = (1)/(m omega_(1)) …….(i)` for second oscillator `E_(2) = (1)/(2) m omega_(2)^(2) R^(2)`, and `m omega_(2) = 1………….(ii)` `((a)/(b)) = (omega_(2))/(omega_(1) =n^(2))` `(E_(1))/(omega_(1)^(2)a^(2))= (E_(2))/(omega_(2)^(2)R^(2)) rArr (E_(1))/(omega_(1)) = (E_(2))/(omega_(2))` |
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