Question

A concave mirror produces three times magnified (enlarged) real image
of an object placed at 10 cm in front of it. Where is the image located?
​

Answer 1

Given :-

A concave mirror produces three times magnified (enlarged) real image.

Object distance = -10 cm

To Find :-

The place where the image was formed.

Solution :-

We know that,

• u = Image distance
• h₁ = Height of the image
• v = Object distance
• h₀ = Height of the object

Magnification produced by a spherical mirror is given by,

$\underline{\boxed{\sf Magnification=\dfrac{h_1}{h_1} =-\dfrac{u}{v} }}$

Let the height of the object be 'h'.

Then the height of the image h₁ = -3h

Substituting their values,

-3h/h = -u/v

v/u = 3

Given that,

Object distance (u) = -10 cm

Then,

v = 3 × (- 10)

v = -30 cm

Therefore, the negative sign indicates that an inverted image is formed in front of the given concave mirror at a distance of 30 cm.

Answer 2

Answer: -30

Explanation:

m = -3

u = -10

m = -v/u

-3 = -v/-10

-3 = v/10

v = -30