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

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

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

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

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

Text Solution

Verified by Experts

The correct Answer is:

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

`._(3)mu_(1)`

`._(3) mu_(2)`

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

`._(4)mu_(2)`

""_(i)u_(j) represents refractive index when a light ray goes from medium I to medium j, then the product ""_(2)µ_(1)xx ""_(3)µ_(2)xx ""_(4)µ_(2) is equal to

`""_(3)µ_(1)`

`""_(3)µ_(2)`

`(1)/(""_(1)µ_(4))`

`""_(4)µ_(2)`

If ._imu_j represnts the refractive index when a ray of light goes from medium i to j, then the product ._2mu_1xx._1mu_3xx._3mu_4 is equal to

`._3mu_1`

`._3mu_2`

`._2mu_3`

`._2mu_4`