Question

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

Answer 1

Answer:

hi,

answer is f = 48 cm

and d = 2.0833

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Step-by-step explanation:

Object distance (u) = - 24 cm

Image distance (v) = - 16 cm

Using Mirror Formula:

Focal length of the concave mirror = - 9.6  cm (Negative sign indicates that the image formed is real and inverted)

To find radius of curvature = (2) (Focal length of the concave mirror)

Radius Of Curvature of the Concave Mirror = - 19.2  cm

Magnification of concave mirror =

Magnification =

Simplifying further we get:

Therefore the focal length is - 9.6  cm and Radius of curvature of the concave mirror is - 19.2 cm and the magnification of the image is - 2/3.

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KalpeshprabhakarAdvanced Moderator

Answer:

Object Distance ( u ) = 24 cm

Image Distance ( v ) = 16 cm

Focal Length = ?

Radius of Curvature = ?

Magnification = ?

According to Mirror Formula,

1/v + 1/u = 1/f

According to Concave Mirror Convention,

u = -24 cm

v = -16 cm

Substituting them in the formula we get,

⇒ -1/24 - 1/16 = 1/f

Taking LCM we get,

⇒ ( -2 - 3 )/ 48 = 1/f

⇒ -5/48 = 1/f

⇒ f = -48/5 = -9.6 cm

Here '-' is just a convention.

Radius of Curvature = 2 × f

⇒ Radius of Curvature = 2 × 9.6 = 19.2 cm

Magnification = -v/u

⇒ Magnification = - ( -16 )/( -24 )

⇒ Magnification = 16/(-24) = - 2/3 = -0.67

'-' indicates that the image is diminished.

Here the image formed is real and diminished

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