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Question

Physics Question on Reflection Of Light By Spherical Mirrors

An object is placed at a distance 20cm20\, cm from the pole of a convex mirror of focal length 20cm20\, cm. The image is produced at :

A

13.3 cm

B

20 cm

C

25 cm

D

10 cm

Answer

10 cm

Explanation

Solution

u=20cm,f=20cmu =-20\, cm,\, f =20\, cm
From mirror formula,
1f=1v+1u\frac{1}{ f }=\frac{1}{ v }+\frac{1}{ u }
120=1v+120\frac{1}{20}=\frac{1}{ v }+\frac{1}{-20}
1v=120+120\frac{1}{ v }=\frac{1}{20}+\frac{1}{20}
1v=220\frac{1}{ v }=\frac{2}{20}
v=10cm\Rightarrow v =10\, cm