Two identical mass$-$spring systems are set up side by side. Mass $1$ is displaced a distance of $1$ m$,$ while mass $2$ is displaced a distance of $2$ m$.$ What can be said about the periods of each system?

a$)$ Mass $2$ has a period twice a large as mass $1$ b$)$ They have the same period$$ c$)$ Mass $1$ has a period twice as large as mass $2$ d$)$ Mass $2$ has a period four times as large as mass $1.$