Question

A vase is kept in front of two plane mirrors inclined at angle A with each other if 4 images of Vase is formed then the angle between the mirror is​

Answer 1

Answer:

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Answer 2

Answer:

The angle between the two plane mirrors inclined to each other can be 90° (asymmetrically) or 72° (symmetrically).

Explanation:

The number of images of vase formed is 4. Hence, n=4.

If the vase is kept asymmetrically, then the angle between the mirrors can be found by the formula:

n=360°/Ф

∅=360°/n

∅=360°/4

∅=90°

If the vase is kept symmetrically, then the angle between the mirrors can be found by the formula:

n=360°/Ф-1

n+1=360°/∅

4+1=360°/∅

∅=360°/5

∅=72°

Thus, the angle between the plane mirrors can be 90° when the vase is kept asymmetrically or it can be 72° when the vase is kept symmetrically