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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))`

Text Solution

Verified by Experts

The correct Answer is:
b
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Knowledge Check

  • An optical fibre communication system works on a wavelength of 1.3 mu_(m) . The number of subscribers it can feed if a channel required 20kHz are

    A
    `2.3xx10^(10)`
    B
    `1.15xx10^(10)`
    C
    `1xx10^(5)`
    D
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  • An optical fibre having core of refractive index sqrt3 and cladding of refractive index 1.5 is kept in air. The maximum angle of acceptance is

    A
    `60^(@)`
    B
    `45^(@)`
    C
    `30^(@)`
    D
    `15^(@)`

  • Optical Fibre: Optical fibre works on the principle of total internal reflection. Light rays can be used to transmit a huge amount of data, but there is a problem here - the light rays travel in straight lines. So unless we have a long straight wire without any bends at all, harnessing this advantage will be very tedious. Instead, the optical cables are designed such that they bend all the light rays' inwards (using TIR). Light rays travel continuously, bouncing off the optical fibre walls and transmitting end to end data. It is usually made of plastic or glass. Modes of transmission: Single-mode fibre is used for long-distance transmission, while multi mode fiber is used for shorter distances. The outer cladding of these fibres needs better protection than metal wires. Although light signals do degrade over progressing distances due to absorption and scattering. Then, optical Regenerator system is necessary to boost the signal. Types of Optical Fibres: The types of optical fibers depend on the refractive index, materials used, and mode of propagation of light. The classification based on the refractive index is as follows: • Step Index Fibres: It consists of a core surrounded by the cladding, which has a single uniform index of refraction. • Graded Index Fibres: The refractive index of the optical fibre decreases as the radial distance from the fibre axis increases. Light signal through optical fibre may degrade due to:

    A
    refraction
    B
    refraction and reflection.
    C
    diffraction and scattering.
    D
    scattering and absorption.

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