Verified answer

Answer:

To find the image distance we can use the mirror formula:

1/f = 1/v - 1/u

where:

f = focal length of the mirror

v = image distance

u = object distance

Given:

f = 2.5 cm

u = -5 cm (negative sign indicates that the object is in front of the mirror)

Plugging the values into the formula we can solve for v:

1/2.5 = 1/v - 1/-5

To simplify the equation let's find the common denominator:

1/2.5 = (1/v) + (1/5)

Multiplying both sides by 2.5v:

v = 2.5 + 0.5v

Simplifying the equation:

0.5v = 2.5

v = 2.5 / 0.5

v = 5 cm

Therefore the image distance is 5 cm.

Explanation:

u=-5 cm, f=10 cm

We know that

v

1

+

u

1

=

f

1

⇒

v

1

+

(−5)

1

=

10

1

⇒

v

1

=

20

1

+

5

1

=

10

3

∴v=

3

10

cm=3.33cm

The position of the image is 3.33 cm behind the convex mirror.

Magnification, m=−

u

v

=−

−5

3.33

=0.66

The image is virtual and erect.