Question: Q. 4. Use the mirror equation to show that:

(i) An object placed between f and 2f of a concave mirror produces a real image beyond 2f.

(ii) a convex mirror always produces a virtual image independent of the location of the object.

(iii) an object placed between the pole and the focus of a concave mirror produces a virtual and enlarged image.

A[OD 2011]

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Solution:

Ans. (i) Try yourself Similar Q. 1 Short Answer Type Questions-I

(ii) Try yourself Similar Q. 2 (ii) Short Answer Type Questions-II

(iii) Using mirror formula

1v+1u=1f

For concave mirror,

f1v+1u<0 1v1u<0 1v<1u

v>u as v is always positive so image is virtual.

Now, m=|vu|>1, Hence image is always enlarged. 1

Commonly Made Error

  • Many candidates made lengthy calculations, which were not required. In some cases they started with correct formula, but did wrongly sign conversions in between.


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