Question

calculate the no. of images formed by two mirrors inclined at an angle of 72° for symmetrical and symmetrical setup​

Answer 1

Answer:

$\boxed{\mathfrak{No. \ of \ images \ formed \ when \ object \ is \ placed \ symmetrically = 4}}$

$\boxed{\mathfrak{No. \ of \ images \ formed \ when \ object \ is \ placed \ unsymmetrically = 5}}$

Explanation:

Angle of inclination between two mirror = 72°

When $\sf \dfrac{360 ^{ \circ} }{ \theta}$ comes out to be odd number then object placed symmetrically & unsymmetrically will give different number of total number of images formed.

As, $\sf \dfrac{360 ^{ \circ} }{ \theta}$ comes out to odd in this case i.e.

$\rm \dfrac{360 \degree}{72 \degree} = 5$

So,

Number of images formed when object is placed symmetrically is given as:

$\rm \implies \frac{360 \degree}{ \theta} - 1 \\ \\ \rm \implies 5- 1 \\ \\ \rm \implies 4$

Number of images formed when object is placed unsymmetrically is given as:

$\rm \implies \frac{360 \degree}{ \theta}\\ \\ \rm \implies 5$