If an object is placed in between two plane mirrors inclined at and angle 45°, then the number of image formed will be 9.

Question

Write true or false for the following statements:

If an object is placed in between two plane mirrors inclined at and angle 45°, then the number of image formed will be 9.

Answer 1

False

The number of images formed if two plane mirrors are kept at an angle θ is given by,

\(\frac{360o}{\theta}\,if\,\frac{360^o}{\theta}\) is odd and it is given by \(\frac{360o}{\theta}\,-1\,if\,\frac{360^o}{\theta}\) is even.

For θ = 45°, number of images is \(\frac{360o}{45^o}\,-1\,=\,8\,-\,1=\,7\,as\,\frac{360^o}{45^o}\,=\,8\) is an even number.