When white light passes through a cool cloud of gas, we seea) an absorption line spectrum. b)infrared light. c) thermal radiation. d) an emission line spectrum. e)visible light.

Answer:

White light passes through a cool cloud of gas an absorption line spectrum is formed.

Explanation:

An absorption line spectrum appears if an material that absorbs the light is placed between a source material like cloud of gas , layers of star and the observer. A cloud which is built up of gas comprises of atoms. A typical gas cloud  in space contains a lot of hydrogen () and helium (He) and also traces of heavier elements like nitrogen, carbon, oxygen and perhaps iron. The atoms that is present inside the cloud of gas contains a  nucleus with  positively charged protons and no charge neutrons.This nucleus is Surrounding by 1 or more electrons. As we that electron is the primary source for stellar spectrum, when we pass white light through the gas cloud am absorption spectrum is produced .

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we have been given a quadratic function and we need to restrict the domain such that it becomes a one to one function.

we know that vertex of this quadratic function occurs at (5,2).

further, we know that range of this function is .

if we restrict the domain of this function to either or , it will become one to one function.

let us know find its inverse.

upon interchanging x and y, we get:

let us now solve this function for y.

hence, the inverse function would be if we restrict the domain of original function to and the inverse function would be if we restrict the domain to .