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Gravitational fields (A-level only)

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Question 10

An astrophysicist compiles a database of various exoplanets of mass M M\,M and the orbital radii r r\,r of their close-in moons in circular orbits. The database is used to analyze the orbital frequency f f\,f of these moons. The data show that f f\,f is directly proportional to:

(Mr3)1/2\left(\frac{M}{r^3}\right)^{1/2}(r3M​)1/2

(M3r)1/2\left(\frac{M^3}{r}\right)^{1/2}(rM3​)1/2

(r3M)1/2\left(\frac{r^3}{M}\right)^{1/2}(Mr3​)1/2

(Mr)1/2\left(\frac{M}{r}\right)^{1/2}(rM​)1/2

Gravitational fields (A-level only) Questions

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