Statement I: For a satellite very close to Earth's surface, T=2πgRe where g=Re2GM=34πGρRe.
Substituting: T=2π4πGρ3.
This shows period depends on Earth's density ρ. Statement I is TRUE.
Statement II: Given directly as T=2πgRe, which is the standard formula.
Statement II is TRUE.
Both statements are true.