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An optical fibre consists of core of mu(...

An optical fibre consists of core of `mu_(1)` surrounded by a cladding of `mu_(2) lt mu_(1)`. A beam of light enters from air at an angle `alpha` with axis of fibre. The highest `alpha` for which ray can be travelled through fibre is

A

`cos^(-1)sqrt(mu_(2)^(2)-mu_(1)^(2))`

B

`sin^(-1)sqrt(mu_(1)^(2)-mu_(2)^(2))`

C

`tan^(-1)sqrt(mu_(1)^(2)-mu_(2)^(2))`

D

`sec^(-1)sqrt(mu_(1)^(2)-mu_(2)^(2))`

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