Question 179: Ray Optics

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.
![](https://app-content.cdn.examgoal.net/fly/@width/image/1l7u6wqcx/b646bfc4-2cee-4aa1-a276-fadfb563a622/aa1f2e10-3015-11ed-ab58-4f43f7f8c851/file-1l7u6wqcy.png?format=png)

Accepted Answer

When object is at 8 cm,
the image distance (v
1
) = ${{F 	imes 4} \over {u - f}}$ = ${{5 	imes 8} \over {8 - 5}}$ = $-$ ${{40} \over 3}$  cm
When object is at 12 cm,
the  image distance (v
2
) = ${{f 	imes 4} \over {u - f}} = {{5 	imes 12} \over {12 - 5}} = $ $-$ ${{60} \over 7}$ cm
$	herefore\,\,\,\,$ Separation =  $\left| {{\upsilon _1} - {\upsilon _2}} ight|$ = ${{40} \over 3} - {{60} \over 7}$ = ${{100} \over {21}}\,$ cm

Answer

The image executs periodic motoin.

Answer

The image executes non-periodic motion.

Answer

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

Answer

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

Ray Optics

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.

Choose the correct answer: