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If ""(x) mu(y) represents the refractive...

If `""_(x) mu_(y)` represents the refractive index when a ray of light goes from medium x to medium y , then the product `""_(2) mu_(1) xx ""_(3) mu_(2) xx ""_(4) mu_(3)` is equal to

A

`""_(2) mu_(1)`

B

`(1)/(""_(1) mu_(4))`

C

`""_(3) mu_(2)`

D

`""_(4) mu_(2)`

Text Solution

Verified by Experts

The correct Answer is:
B
` ""_(x) mu_(y) = ("Velocity of light in medium x ")/("Velocity of light in medium y") = (v_(x))/(v_(y))`
`therefore ""_(2) mu_(1) = (v_(2))/(v_(1)) , ""_(3) mu_(2) = (v_(3))/(v_(2)) ` and `""_(4) mu_(3) = (v_(4))/(v_(3))`
`therefore ""_(2) mu_(A)xx ""_(3) mu_(2) xx ""_(4) mu_(3) = (v_(2))/(v_(1)) xx (v_(3))/(v_(2)) xx (v_(4))/(v_(3)) = (v_(4))/(v_(1)) = ""_(4) mu_(1) = (1)/(""_(1) mu_(4))`
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