Assertion : If the angle between the two plan | vedclass

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Question

(A) The number of images $n$ formed by two plane mirrors inclined at an angle $	heta$ is given by $n = \frac{360^o}{	heta} - 1$ if $\frac{360^o}{	h

Vedclass · Accepted Answer

If both Assertion and Reason are correct and the Reason is a correct explanation of the Assertion.

Vedclass · Answer

(A) The number of images $n$ formed by two plane mirrors inclined at an angle $	heta$ is given by $n = \frac{360^o}{	heta} - 1$ if $\frac{360^o}{	heta}$ is an even integer.If $\frac{360^o}{	heta}$ is an odd integer,then $n = \frac{360^o}{	heta} - 1$ if the object is placed symmetrically,and $n = \frac{360^o}{	heta}$ if the object is placed asymmetrically.Given $	heta = 72^o$,so $\frac{360^o}{72^o} = 5$,which is an odd integer.Since the object is placed asymmetrically,the number of images formed is $n = 5$.Thus,the Assertion is correct.The Reason states the general rule for the number of images formed by two inclined plane mirrors,which is correct.Since the Assertion is a direct application of the rule stated in the Reason,the Reason is the correct explanation of the Assertion.

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