Q.

Is it true that in case of a concave mirror, if the image is formed on the left side of the mirror, then the image distance will be positive and if the image is formed on the right side of the mirror, then the image distance will be negative.


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a

True

b

False 

answer is B.

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Detailed Solution

The above statement is False.
If the image forms on the left side of a concave mirror, then the image distance (v) will become negative, and if the image is formed on the other (right) side of the mirror, the image distance (v) will become positive. The reason behind this is that distances measured to the left are negative and to the right of the mirror are positive.
Question Image           Cartesian Sign Convention: In the case of the spherical mirror, all signs are taken from the Pole of the spherical mirror, which is often called the origin or origin point. This sign convention is known as New Cartesian Sign Convention.
The sign is taken as – (negative) from the pole of a spherical mirror towards an object along the principal axis. This means the sign is always taken as – (negative) in front of a spherical mirror. For example, the object's distance is always taken as – (negative) in the case of both types of a spherical mirrors, i.e. concave and convex mirrors.
The correct statement would be, if the image forms on the left side of a concave mirror, then the image distance (v) will become negative, and if the image is formed on the other (right) side of the mirror, the image distance (v) will become positive.
      
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Is it true that in case of a concave mirror, if the image is formed on the left side of the mirror, then the image distance will be positive and if the image is formed on the right side of the mirror, then the image distance will be negative.