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  • An object is at a distance of 10 cm of a mirror and image of the object is at a distance of 30 cm from the mirror from the same side as the object. Then the nature of the mirror and its power

An object is at a distance of 10 cm of a mirror and image of the object is at a distance of 30 cm from the mirror from the same side as the object. Then the nature of the mirror and its power is 

Option: 1

Concave,\frac{40}{3}D


Option: 2

Convex,\frac{40}{3}D

 

 


Option: 3

Concave,\frac{20}{3}D


Option: 4

Convex,\frac{20}{3}D


Answers (1)

best_answer

As we learn

Optical power of a mirror -

P= -\frac{1}{f}

 

- wherein

f= focal length with sign and is in meters unit of power = diopter

 

 \frac{1}{f}=\frac{1}{v}+\frac{1}{u}

 

u = -10 cm , v = -30 cm

\frac{1}{f}=\frac{-1}{10}-\frac{1}{30}= -\frac{4}{30} or f= -7.5 cm

\therefore mirror is concave

p=\frac{-100}{f}D=\frac{100}{7.5}D= \frac{40}{3}D

 

 

 

Posted by

HARSH KANKARIA

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