Question

an object is placed at a distance of 15cm from a convex mirror and image is formed at a distance of 5cm from the mirror. calculate the radius of curvature of the mirror
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Answer 1

Answer:

u= -15cm

v= 5cm

f= ?

and to find a radius of curvature formula is

R=2f

so, using mirror formula

1/f=1/u+1/v

putting values

1/f=1/-15+1/5

1/f=5+(-15)/75

1/f= -10/75

cross multiple

-10f=75

f=75/-10

f= -7.5

So, R=2f

2×-7.5

R= -15

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Answer 2

Solution :-

As per the given data ,

• Object distance (u) = - 15 cm
• Image distance (v) = 5 cm

By using mirror formula ,

➜ 1 / f = 1 / v + 1 / u

here ,

• f = focal length
• v = image distance
• u = object distance

➜ 1 / f = 1 / 5 - 1 / 15

➜ 1 / f = 3 - 1 / 15

➜ 1 / f = 2 / 15

➜ f = 15 / 2

➜ f = 7.5 cm

The focal length of the convex mirror is 7.5 cm

We know that ,

➜ R = 2 x f

here ,

• R = radius of curvature

➜ R = 2 x 7.5

➜ R = 15 cm

The radius of curvature of the mirror is 15 cm