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

Question

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

Identify the correct statements.

The image executs periodic motoin.

The image executes non-periodic motion.

The turning points of the image are asymmetric w.r.t. the image of the point at $x=10$ $cm$.

The distance between the turning points of the oscillation of the image is ${{100} \over {21}}\,cm.$

Solution

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