1.

Figure shows two binary star systems such that the distance of lighter star from the centre of rotation is same in both cases. If the ratio of time periods of rotation is (T_(1))/(T_(2))=n/8 sqrt(3/2) where n is an integer, find n

Answer»


SOLUTION :`2/3 l_(1)=3/4 l_(2)IMPLIES(l_(1))/(l_(2))=9/8`
`M_(1)=3M, M_(2)=4M`
`((T_(1))/(T_(2)))^(2)=((l_(1))/(l_(2)))^(2)xx(M_(2))/(M_(1))=(9/8)^(2)xx4/3`
`implies(T_(1))/(T_(2))=9/8sqrt(3/2)`


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