Two particles of mass m, 2m are revolving along different circles of radii in the ratio of 2:3 whose time
periods are in the ratio 2:3. The ratio of their angular momenta is
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ω
1
=
2τ
2π
, ω
2
=
3τ.
2π
L=m νR=mωR
2
L
2
L
1
=
m
2
m
1
ω
2
ω
1
R
2
2
R
1
2
=
2
1
×
2
3
×
3
2
2
2
=
3
1
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