How to find The Natural Frequency of a spring-mass system?

Question

The Natural Frequency of a spring-mass system on earth is ω_n. 

_{The Natural Frequency of this system on the moon is :}

_A) ω_n

_{B) 0.408} ω_n

_{C) 0.204}ω_n

_D)0.167 ω_n

_{Explain Procedure with answer also .}

Answer 1

A is the answer.

Natural Frequency,ω_{n  =} √k/m

The natural frequency depends on the spring constant and the mass, but not on g.

So no change in natural frequency.