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Question

You have learnt in thetext how Huygens’ principle leads to the laws of reflection andrefraction. Use the same principle to deduce directly that a pointobject placed in front of a plane mirror produces a virtual imagewhose distance from the mirror is equal to the object distance fromthe mirror.

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Solution

Let an object at O beplaced in front of a plane mirror MO’ at a distance r(as shown in the given figure).

A circle is drawn fromthe centre (O) such that it just touches the plane mirror at pointO’. According to Huygens’ Principle, XY is the wavefrontof incident light.

If the mirror isabsent, then a similar wavefront X’Y’ (as XY) would formbehind O’ at distance r (as shown in the given figure).

canbe considered as a virtual reflected ray for the plane mirror. Hence,a point object placed in front of the plane mirror produces a virtualimage whose distance from the mirror is equal to the object distance(r).


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