Tag: reflection of light at curved surfaces

Questions Related to reflection of light at curved surfaces

Mark the incorrect statement regarding mirror formula.

  1. Values of known and unknown parameters can be used with their proper signs

  2. Sign of unknown parameter comes of its own after calculation

  3. Mirror formula is applicable for both concave and convex mirrors

  4. All


Correct Option: A
Explanation:

The values of known parameter should be used with their proper sign convention. No sign should be attached to the unknown parameter during calculation. Its sign will come of its own after calculation.

The relation among u, v and f for a mirror is

  1. $f = uv/(u+v)$

  2. $v = fu/(u+f)$

  3. $u = fv/(f+v)$

  4. All of these


Correct Option: A
Explanation:

According to mirror equation.

$\cfrac{1}{f} = \cfrac{1}{u}+ \cfrac{1}{v}$
$\cfrac{1}{f} = \cfrac{u+v}{uv}$
$f = \cfrac{uv}{u+v}$

Similarly,
$v = \cfrac{fu}{u-f}$
$u = \cfrac{fv}{v-f}$

The relation among $u,v$ and $f$ for a mirror is:

  1. $f=uv(u+v)$

  2. $v=fu(u+f)$

  3. $u=fv(f+v)$

  4. None of these


Correct Option: D
Explanation:

from mirror formula

              $\dfrac { 1 }{ v } +\dfrac { 1 }{ u } =\dfrac { 1 }{ f } $
              $\Rightarrow \quad \boxed { f=\dfrac { uv }{ u+v }  } $
and
          $1+\dfrac { v }{ u } =\dfrac { v }{ f } \Rightarrow \boxed { u=\dfrac { fv }{ f-v }  } $

A object moving at a speed of $5$ m/s towards a concave mirror of focal length $f=1$m is at a distance of $9$m. The average speed of the image is?

  1. $\dfrac{1}{5}$ m/s

  2. $\dfrac{1}{10}$ m/s

  3. $\dfrac{4}{5}$ m/s

  4. $\dfrac{2}{5}$ m/s


Correct Option: C

Which is the wrong statement out of the following?

  1. A concave mirror can give a virtual image.

  2. A convex mirror can give a virtual image.

  3. A concave mirror can give a diminished virtual image.

  4. A convex mirror cannot give a real image.


Correct Option: C
Explanation:

The properties of image formed for different object distance are listed below:
Concave mirror:
1)u<f----virtual image , enlarged.
2)f,u,2f---Real, inverted, magnified.
3)u>2f----Real, inverted, diminished.
Convex mirror:
for any object distance virtual,errect and enlarged image.

State whether true or false.
A concave mirror is always used as a street light reflector.

  1. True

  2. False


Correct Option: B
Explanation:

Convex mirrors are used as reflectors in street lights because they are able to spread the light over a wide area.

The temperature in a spherical reflector type solar cooker is raised to more than $500^o C$ by :

  1. concentrating energy at one point by using a concave reflector

  2. proper insulation of the cooker

  3. concentrating energy at one point by using a covex reflector

  4. both (A) and (B)


Correct Option: A
Explanation:

The temperature in a spherical reflector type solar cooler is raided to more than $500^\circ C $ by concentrating energy at one point by using a concave reflector.

Which of the following mirrors is used to concentrate light on a given spot?

  1. concave mirror

  2. convex mirror

  3. plane mirror

  4. both (B) and (C)


Correct Option: A
Explanation:

concave mirror focuses a beam of light from infinity at a point

The mirror used in search lights is.

  1. concave

  2. convex

  3. plane

  4. convex lens


Correct Option: A
Explanation:

The mirror used in search lights is a concave mirror

Concave mirrors are used in :

  1. reflecting telescopes

  2. magic-lanterns

  3. cinema projectors

  4. all the above


Correct Option: D
Explanation:

All the above mentioned optical objects use  concave mirrors.