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Which series shows molecules in order of increasing bond angle?
(A) $ C{{H}_{4}} < B{{F}_{3}} < N{{H}_{3}} $
(B) $ {{H}_{2}}O < C{{O}_{2}} < B{{F}_{3}} $
(C) $ N{{H}_{3}} < C{{H}_{4}} < C{{O}_{2}} $
(D) $ N{{H}_{3}} < C{{H}_{4}} < {{H}_{2}}O $

Answer
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Hint: We need to find the increasing bond angle. We are going to take the help of VSEPR theory. The compound in which the central atom has least number of atoms attached will have the highest bond angle.

Complete step by step answer
We will start by looking at the structure of the following compounds.
As we know ammonia has trigonal pyramidal shape, the ammonia molecule has a trigonal pyramidal shape as predicted by the valence shell electron pair repulsion theory (VSEPR theory) with an experimentally determined bond angle of $ {106.7^0} $ . The central nitrogen atom has five outer electrons with an additional electron from each hydrogen atom.
For Methane we know that it is a compound containing two elements, carbon and hydrogen. It exists naturally as a molecule. Each methane molecule has a central carbon atom joined to and surrounded by four hydrogen atoms. It has a tetrahedral geometry. It turns out that due to its tetrahedral geometry, it has 4 equal bond angles of $ 109.5^\circ $
Carbon Dioxide is a gas with a molecular structure composed of two oxygen atoms and one carbon atom. It has a linear structure. The carbon dioxide bond angle is $ {180^ \circ } $ .
Hence, the correct order of increasing bond angle is $ N{H_3} < C{H_4} < C{O_2} $
So, we need to select the correct option.
Thus, the correct option is C.

Note
Ammonia, also known as $ N{H_3} $ , is a colourless gas with a distinct odour composed of nitrogen and hydrogen atoms. It is produced naturally in the human body and in nature—in water, soil and air, even in tiny bacteria molecules.
Methane gas is relatively non-toxic. Methane is extremely flammable; it's considered a greenhouse gas, like carbon dioxide. Methane comes from natural sources, such as wetlands and animal digestion, along with thermogenic sources, including oil and gas production
Carbon dioxide is a chemical compound that is found in Earth's atmosphere as a gas. It is an important greenhouse gas because of its ability to absorb infrared wavelengths.