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.

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: