Question 1

Which equation describes the magnification ($$m) $$produced by a mirror, and what does it represent?

Accepted Answer

$$m = \frac{y'}{y}$$, where $$y' is $$the image height and $$y is $$the object height

Question 2

A concave mirror has a radius of curvature $$R. $$What is the focal length $$f of $$the mirror?

Accepted Answer

$$f = \frac{R}{2}$$

Question 3

Which equation is used to relate the object distance ($$DO$$), image distance ($$DI$$), and focal length ($$f) $$for a spherical mirror?

Accepted Answer

$$\frac{1}{f} = \frac{1}{DO} + \frac{1}{DI}$$

Question 4

If an object is placed beyond the center of curvature ($$C) of a $$concave mirror, what is the nature of the image formed?

Accepted Answer

Real, inverted, and diminished

Question 5

What is spherical aberration in a mirror, and how does it affect image quality?

Accepted Answer

It causes blurriness at the edges due to rays not converging at a single point

Question 6

A person uses a concave mirror for makeup. If their face is between the focal point ($$F) $$and the mirror, what type of image do they see?

Accepted Answer

Virtual, erect, and enlarged

Question 7

Which law governs the angle of incidence ($$	heta_I) $$and the angle of reflection ($$	heta_{REFL}) $$for mirrors?

Accepted Answer

$$	heta_I = 	heta_{REFL}$$

Question 8

Why are parabolic mirrors used in telescopes instead of spherical mirrors?

Accepted Answer

Parabolic mirrors focus all incoming parallel rays to a single point, reducing spherical aberration

Question 9

The Hubble Space Telescope initially produced blurry images. What was the cause?

Accepted Answer

Spherical aberration due to the mirror being polished to the wrong gradient

Question 10

What is the effect of astigmatism on vision, as shown in the diagrams of the cornea and eye?

Accepted Answer

Light rays are focused at multiple points, causing blurred vision

Question 11

A ray diagram for a concave mirror shows an object placed at the center of curvature ($$C). $$What is the nature of the image formed?

Accepted Answer

Real, inverted, and same size as the object

Question 12

Which equation is used to find the position of the image ($$s') $$formed by a concave spherical mirror?

Accepted Answer

$$\frac{2}{R} = \frac{1}{DO} + \frac{1}{DI}$$

Question 13

In the paraxial approximation for a concave mirror, what is assumed about the rays?

Accepted Answer

Rays make small angles with the optic axis and converge at a single point

Question 14

A concave mirror is used in a reflecting telescope. What is the primary function of the mirror?

Accepted Answer

To collect and focus light to a single point

Question 15

If an object is placed between the focal point ($$F) $$and the center of curvature ($$C) of a $$concave mirror, what is the nature of the image?

Accepted Answer

Real, inverted, and enlarged

Question 16

Which optical defect is corrected by using toric lenses?

Accepted Answer

Astigmatism

Question 17

A concave mirror forms a real image of an object placed at infinity. Where is the image formed?

Accepted Answer

At the focal point ($$F)$$

Question 18

What is the main reason the human eye is large, as discussed in the context of collecting light rays?

Accepted Answer

To collect several light rays at once for better image formation

Question 19

In a ray diagram for a concave mirror, what happens to a ray parallel to the optic axis?

Accepted Answer

It reflects through the focal point ($$F)$$

Question 20

Which of the following best describes the correction made to the Hubble Space Telescope to fix its blurry vision?

Accepted Answer

A secondary mirror was added to correct the spherical aberration

Optic - Geometric Optics: Spherical Mirrors and Image Formation

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