Tag: derivation of formula for curved mirrors

Questions Related to derivation of formula for curved mirrors

Magnification for erect and invented image is

  1. $+ve$ and $-ve$ respectively

  2. $-ve$ and $+ve$ respectively

  3. $+ve$

  4. $-ve$


Correct Option: A
Explanation:

Magnification is the ratio of height of image and object .

And by convention , height of image formed below principal axis is taken negative and above is taken positive.

Hence, for erect image, $m=+ve$ and for inverted image $m=-ve$.

Answer-(A).

A convex lens of 2 D power is joined with a concave mirror of 1 D power. Equivalent power of instrument will be

  1. $-3D$

  2. $+3D$

  3. $-5D$

  4. $+5D$


Correct Option: B

If image is real and inverted, mangification will be:

  1. two

  2. negative

  3. one

  4. zero


Correct Option: B
Explanation:

According to new Cartesian sign convention, image size for erect image is considered positive and that of inverted image is considered negative.

The object being always erect, the object size is always positive.
So, magnification for a real image, being a ratio of image size and object size is considered negative.

The magnification produced by a concave mirror

  1. is always more than one

  2. is always less than one

  3. is always equal to one

  4. may be less than or greater than one


Correct Option: D
Explanation:

if object distance < f then m>1

else if object distance >f then m<1

The mirror used in automobiles to see the rear field of view is

  1. concave

  2. convex

  3. plane

  4. none of these


Correct Option: B
Explanation:

Convex mirrors are used in automobiles to see the near field of view as convex mirror has a wider field of view and it has higher magnification.