NCERT Solution Class X Science Light – Reflection and Refraction Question 14 (Ex 10.5)

Question 14:

An object 5.0 cm in length is placed at a distance of 20 cm in front of a convex

mirror of radius of curvature 30 cm. Find the position of the image, its nature

and size.

Answer:

Object distance, u = −20 cm

Object height, h = 5 cm

Radius of curvature, R = 30 cm

Radius of curvature = 2 × Focal length

R = 2f

f = 15 cm

According to the mirror formula,

 

The positive value of v indicates that the image is formed behind the mirror.

 

The positive value of magnification indicates that the image formed is virtual.

 

The positive value of image height indicates that the image formed is erect.

Therefore, the image formed is virtual, erect, and smaller in size.

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