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Question:
A container is filled with
water ($\mu$ = 1.33) up to a
height of 33.25 cm. A
concave mirror is placed
15 cm above the water
level and the image of an
object placed at the bottom
is formed 25 cm below the
water level. The focal
length of the mirror is
A container is filled with
water ($\mu$ = 1.33) up to a
height of 33.25 cm. A
concave mirror is placed
15 cm above the water
level and the image of an
object placed at the bottom
is formed 25 cm below the
water level. The focal
length of the mirror is
Updated On: May 19, 2022
- 10 cm
- 15 cm
- 20 cm
- 25 cm
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The Correct Option is C
Solution and Explanation
Distance of object from mirror
$\hspace20mm =15+\frac{33.25}{1.33}=$40 cm
Distance of image from mirror = 15 + $\frac{25}{1.33}=$33.8 cm
For the mirror,$\, \, \, \, \, \, \frac{1}{v}+\frac{1}{u}=\frac{1}{f}$
$\therefore \hspace20mm \frac{1}{-33.8}+ \frac{1}{-40}=\frac{1}{f}$
$\therefore \hspace20mm f=$-18.3cm
$\therefore$ Most suitable answer is (c).
$\hspace20mm =15+\frac{33.25}{1.33}=$40 cm
Distance of image from mirror = 15 + $\frac{25}{1.33}=$33.8 cm
For the mirror,$\, \, \, \, \, \, \frac{1}{v}+\frac{1}{u}=\frac{1}{f}$
$\therefore \hspace20mm \frac{1}{-33.8}+ \frac{1}{-40}=\frac{1}{f}$
$\therefore \hspace20mm f=$-18.3cm
$\therefore$ Most suitable answer is (c).
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Concepts Used:
Spherical Mirrors
A spherical mirror is a mirror which has been cut out of a spherical surface.
There are two kinds of spherical mirrors:
- Convex Mirror
- Concave Mirror
Concave Mirror
Concave mirrors are also called converging mirrors, because in these types of mirrors, light rays converge at a point after impact and reflect back from the reflective surface of the mirror.
Convex Mirror
The convex mirror has a reflective surface that is curved outward. Regardless of the distance between the subject and the mirrors, these mirrors are "always" virtual, upright and reduced.
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