Chapter 10, Problem 74RPP

To determine

The expression that represents the period $T$

for one oscillation from Earth’s surface through the center, to the other side, and then back again, from the following options:

a. $2\pi {\left(\frac{3}{G4\pi \rho }\right)}^{\frac{1}{2}}$

b. $2\pi {\left(\frac{G4\pi \rho }{3}\right)}^{\frac{1}{2}}$

c. $2\pi {\left(\frac{3m}{G4\pi \rho }\right)}^{\frac{1}{2}}$

d. $2\pi {\left(\frac{mG4\pi \rho }{3}\right)}^{\frac{1}{2}}$

e. $2\pi {\left(\frac{m}{k}\right)}^{\frac{1}{2}}$