Question

An imaginary reflection in a spherical mirror with a curved radius of 36 cm is three times the size of the object. Is it true, three times and vice versa?​

Answer 1

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Question

A virtual image three time's the size of the object with a concave mirror of radius of curvature 36cm. Find the distance of the object from the mirror.

Medium

Solution

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Given that,

Magnification m=3

We know that,

The magnification is

m=−

u

v

3=−

u

v

v=−3u

Now, by using mirror formula

f

1

=

v

1

+

u

1

f

1

=

−3u

1

+

u

1

f

1

=

3u

2

....(I)

We know that,

f=

2

R

f=

2

36

f=−18cm

Now, put the value of f in equation (I)

f

1

=

3u

2

18

−1

=

3u

2

−3u=36

u=−

3

36

u=−12cm

Hence, the distance of the object from the mirror is -12cm

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