# An Object is 24 Cm Away from a Concave Mirror and Its Image is 16 Cm from the Mirror. Find the Focal Length and Radius of Curvature of the Mirror, and the Magnification of the Image. - Science

An object is 24 cm away from a concave mirror and its image is 16 cm from the mirror. Find the focal length and radius of curvature of the mirror, and the magnification of the image.

#### Solution

Distance of object (u) = -24 cm
Distance of image (v) = -16 cm
We have to find the focal length of the mirror (f) and the magnification of the image (m).

Using the mirror formula, we get

1/f=1/u+1/v

1/f=1/-24+1/-16

or 1/f=(-2-3)/48

or 1/f=(-5)/48

or f=-48/5

f=-9.6 cm

Therefore, the focal length of the concave mirrio is 9.6

R=2xx-9.6

R=-19.2 cm

Therefore, the radius of curvature of the mirror is 19.2 cm

Now, using the magnification formula, we get

m =(-v)/u

m=(-16)/-24

m=0.66

Thus, the image is real, inverted and small in size.

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#### APPEARS IN

Lakhmir Singh Class 10 Physics (Science)
Chapter 4 Reflection of Light
Q 31 | Page 199
Lakhmir Singh Class 10 Physics (Science)
Chapter 4 Reflection of Light
Q 31 | Page 199
Lakhmir Singh Class 10 Physics (Science)
Chapter 4 Reflection of Light
Q 32 | Page 199
Lakhmir Singh Class 10 Physics (Science)
Chapter 4 Reflection of Light
Q 31 | Page 199