What is the resonance frequency if the capacitor value is doubled and the inductor value is halved? express your answer with the appropriate units?

In an LC circuit, the resonance frequency is given by

where L is the value of the inductance and C is the value of the capacitance.
If we double the capacitance: C'=2C and the inductance is halved: L'=L/2, the new resonance frequency is

so, the new frequency of resonance is equal to the original value, so it didn't change.

The masses of the objects and their densities

The answer is orbit around nucleus