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Question

Assertion: If the angle between the two plane mirrors is 72 and the object is asymmetrically placed between the two mirrors, then 5 images of the object will be formed.
Reason: For a given system of mirrors, the total number of images formed due to successive reflection of an asymmetrically placed object is equal to either 360θ or 360θ1 accordingly as 360θ is odd or even respectively.

A
Both assertion and reason are correct and reason is the correct explanation of assertion.
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B
Both assertion and reason are correct and reason is not the correct explanation of assertion.
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C
Assertion is correct, but reason is incorrect.
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D
Both assertion and reason are incorrect.
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Solution

The correct option is A Both assertion and reason are correct and reason is the correct explanation of assertion.

For asymmetric placement of the object between the two plane mirrors inlined at some angle θ, the number of images formed will be,
360θ1, when 360θ is even
360θ, when 360θ is odd

Here, n=360θ=36072=5
As n is odd and the object is placed asymmetrically,
Number of images =5
Both assertion and reason are correct and reason is the correct explanation of assertion.

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