Two plane mirrors each 1.6 m long, are facing each other. The distance between the mirrors is 20 cm. A light incident on one end of one of the mirrors at an angle of incidence of `30^(@)`. How many times is the ray reflected before it reaches the other end?A. There are 15 reflections counting the first oneB. There are 13 refelections counting the first oneC. There are 12 reflections counting the first oneD. None of the above

Two plane mirrors each 1.6 m long, are facing each other. The distance

1.	Two plane mirrors each 1.6 m long, are facing each other. The distance between the mirrors is 20 cm. A light incident on one end of one of the mirrors at an angle of incidence of `30^(@)`. How many times is the ray reflected before it reaches the other end?A. There are 15 reflections counting the first oneB. There are 13 refelections counting the first oneC. There are 12 reflections counting the first oneD. None of the above
Answer» (a) From the figure, given in question, `tan30^(2)=(l_(0))/dimpliesl_(0)=d tan 30^(@)=20/(sqrt(3)` `:.` Number of reflections `=[L/(l_(0))]=[(1.6xx100cm)/(20/(sqrt(3))cm)]=14` If first reflection is considered then `n=14+1=15`

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