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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

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The correct Answer is:
b
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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:

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. Optical fibre is made of:

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. Optical fibre works on the principle of:

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In an optical fibre ,the refractive indices of the core and the cladding are given by n_(1) and n_(2) respectively . Light can travel through the optical fibre if

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