Physics
Purpose of an optical filter is to

Dispense light into component colours
Transmit or absorb light of different colours
Refract light of different colours
Reflect lights of different colours

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Physics
The blue colour of sky is due to

Scattering of shorter wavelengths of sunlight in the atmosphere
Reflection of sunlight
Refraction of sunlight
Scattering of longer wavelengths of sunlight in the atmosphere

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