Question

The radius of curvature of a concave mirror is 30cm if the object placed at 10 cm from the mirror then the image is

Answer 1

Answer:

V=30cm

Explanation:

r=-30cm

f=-30/2= -15cm

u= -10cm

1/f=1/v+1/u

1/-15=1/v+1/-10

1/-15+1/10=1/v

1/v= -2+3/30

1/v=1/30

V=30cm

Hope this helps u..

Answer 2

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Given:-

Radius of Curvature ,R = -30

Object distance ,u = -10cm

To Find:-

Image distance ,v

Solution:-

As we know that the relationship between Radius of Curvature and Focal length .

• f = R/2

Where

f is the focal length

R is the radius of Curvature

Substitute the value we get

→ f = -30/2

→ f = -15

focal length of mirror is -15 cm.

Now, Using Mirror Formula

• 1/v + 1/u = 1/f

Substitute the value we get

→ 1/v + 1/(-10) = 1/(-15)

→ 1/v - 1/10 = -1/15

→ 1/v = -1/15 + 1/10

→ 1/v = -2+3/30

→ 1/v = 1/30

→ v = 30 cm

Therefore , the image distance is 30 cm .