Basic Maths and Units and DimensionsHard
Question
Two independent harmonic oscillators of equal mass are oscillating about the origin with angular frequencies ω1 and ω2 and have total energies E1 and E2, respectively. The variations of their momenta p with positions x are shown in the figures. If
= n2 and
= n, then the correct equation (s) is (are)


Options
A.E1ω1 = E2ω2
B.
= n2
C.ω1ω2 = n2
D.
Solution
P1 max = maω1 = b
P2 max = mRω2 = R

= n2
E1 =
m ω12a2
E2 =
mω22R2



P2 max = mRω2 = R
E1 =
E2 =
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