Question

9 IMAGES ARE NOTICED FOR AN OBJECT PLACE INFRONT OF TWO PLANE MIRRORS INCLINED AT AN ANGLE THETA . THEN THE VALUOF THET is

Answer 1

Answer:

When 9 is number of images(odd)

$\frac{360}{theta} - 1 = 9$

Thus theta is 36°

Answer 2

Answer:

The value of angle θ is 36°.

Explanation:

The formula for the calculation:

The angle which determines the number of mirror images formed by an object placed in front of them is calculated using the formula

$\frac{360}{\theta }-1 = n$ where, n = the number of mirror images formed, and,
                              θ = the angle between the object and the mirrors

Calculation:

Given that, n = 9, the angle between the mirror images and the object (θ):

$\frac{360}{\theta }-1 = 9$

⇒ $\frac{360}{\theta } = 9 + 1$

⇒ $\frac{360}{\theta } = 10$

⇒ $\theta = 36$

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