Question

What is the radius of curvature of a concave mirror at a distance of 200cm from the face of a man, if he sees in it
his image that is 1.5 times greater than on a plane mirror placed at the same distance from the face ?
a) 6 m
b) 12 m
c) 18 m
d) 24 m
answer fast.... ND get brainlest
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Answer 1

Explanation:

What is the radius of curvature of a concave mirror at a distance of 200cm from the face of a man, if he sees in it

his image that is 1.5 times greater than on a plane mirror placed at the same distance from the face ?

a) 6 m

b) 12 m

c) 18 m

d) 24 m

answer fast.... ND get brainlest

Answer 2

Answer:

The radius of curvature of a concave mirror is 2.4m

Explanation:

Concave mirror: If the inner surface of the spherical mirror is the reflecting surface, then it is called a concave mirror. It is also called a focusing mirror/converging mirror.

The size of the image produced by these mirrors can be larger or smaller than the object, depending upon the distance of the object from the mirror.

The concave mirror can form both real as well as virtual images of any object.

Magnification: In a concave mirror, the magnification is the ratio of the height of the image to the height of the object.

When the image is real, the magnification will be negative because the real image is inverted.

When the image is virtual, the magnification will be positive because the virtual image is erect.

$m=\frac{v}{u}$

where m is magnificent, v is the distance of the image from the mirror, and u is the distance of the object from the mirror.

Mirror Formula:

$\frac{1}{f} =\frac{1}{v} +\frac{1}{u}$

where f is focal length v is the distance of the image from the mirror, and u is the distance of the object from the mirror.

Magnification, m = 1.5 times greater than on a plane mirror

$m=1$(since magnification of flat mirror is 1)

or, $\frac{v}{u} =1.5$

$v=1.5u$

$\frac{1}{1.5u} +\frac{1}{u}= \frac{2}{R}$

u =200 cm= 2m

$\frac{1}{1.5 \times2}+\frac{1}{2} =\frac{2}{R}$

$\frac{1}{3} +\frac{1}{2} =\frac{2}{R} \\\\\frac{2+3}{6} =\frac{2}{R}\\\\\frac{5}{6} =\frac{2}{R}\\\\R=\frac{12}{5} \\R=2.4m$

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