Two point objects, P and Q are situated in front of a plane mirror at distances of 15 cm
and 30 cm respectively on the same straight line. Calculate the distance between the
object P and the image of Q.
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Answer:
The distance between object P and the image of Q is 15 cm.
Explanation:
Given data:
- Distance between the plane mirror and object P (u) = 15 cm
- Distance between the plane mirror and object Q (v) = -30 cm (negative sign indicates the object is on the other side of the mirror)
To find: Distance between object P and image of Q (I)
Formula:
For a plane mirror, the image distance (v') is equal to the object distance (u).
Therefore, the distance between the object and the image (I) is given by:
I = v' - u
Calculation:
As per the formula, v' = -v = 30 cm (since the object is situated at the same distance behind the mirror as in front of it)
I = 30 cm - 15 cm = 15 cm
Therefore, the distance between object P and the image of Q is 15 cm.
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