A newly discovered planet, "Cosmo," has a mass that is 4 times the mass of the Earth

PHYSICS · Single correct · A Level · Physics · Fields and their consequences · Fields and their consequences

Problem

3. A newly discovered planet, "Cosmo," has a mass that is 4 times the mass of the Earth. The radius of the Earth is

R_{\mathrm{e}}

. The gravitational field strength at the surface of Cosmo is equal to that at the surface of the Earth if the radius of Cosmo is equal to (A)

1 / 2 R_{\mathrm{e}}

(B)

R_{\mathrm{e}}

(C)

2 R_{e}

(D)

\sqrt{R_{e}}

(E)

R_{\mathrm{e}}{ }^{2}