A particle is oscillating on the X -axis with an amplitude 2 cm about the point x_0=10 cm, with a frequency ω. A concave mirror of focal length 5 cm…

A particle is oscillating on the X -axis with an amplitude $\displaystyle 2$ cm about the point $\displaystyle x_0=10 \mathrm{~cm}$, with a frequency $\displaystyle \omega$. A concave mirror of focal length $\displaystyle 5$ cm is placed at the origin (see figure).

Identify the correct statements.

The image executes periodic motion.

The image executes non-periodic motion.

The turning points of the image are asymmetric w.r.t. the image of the point at $\displaystyle x=10 \mathrm{~cm}$.

The distance between the turning points of the oscillation of the image is $\displaystyle \frac{100}{21} \mathrm{~cm}$.