Question

An object is placed
$\left(i\right)$ Asymmetrically
$\left(ii\right)$ Symmetrically, between two plane mirrors inclined at an angle of ${50}^{\circ }$. Find the number of images formed.

• A. $\left(1\right)7$, $\left(ii\right)7$
• B. $\left(1\right)6$, $\left(ii\right)6$
• C. $\left(1\right)6$, $\left(ii\right)7$
• D. $\left(1\right)7$, $\left(ii\right)6$

Answer 1

The correct option is D $\left(1\right)7$, $\left(ii\right)6$

Case (a):
Two plane mirrors places asymmetrically at 50 degrees.
Number of images $=\frac{360}{50}=7$ (highest integral value)
Case (b):
Two plane mirrors places symmetrically at 50 degrees.
Number of images $=\frac{360}{50}-1=6$ (highest integral value)