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Question:

ii) Find the vector equation of the plane determined by the points (1, 0, −1), (0, 1, 1) and (−1, 1, 0).

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Question:

i) Find the angle between the vectors $\sqrt{2i+2j}+2k$ and i $\sqrt{2j}+\sqrt{2k}.$

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Question:

State whether the following statements are True or False? Justify your answers with the help of a short proof or a counter example: (10)
a) The function f, defined by $f(x)=cos\,x+sin\,x,$ is an odd function.
b) $\frac{\mathrm{d} }{\mathrm{d} x}\left [ \int_{2}^{e^x}1n\,t\,dt \right ]=x-1n\,2.$

c) The function f, defined by $f(x)=|x-2|,$ is differentiable in [0,1].
d) $y=x^2-3x^3$ has no points of inflection.
e) $y=-x^2$ is increasing in [− ,5 − 3].

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Question:

Give the characteristics bands observed in the IR spectra of carboxylic acids and carboxylic acid anhydrides

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Question:

i) List different factors which govern the position and intensity of bands appearing in the IR spectrum of an organic compound.

ii) The C–C stretching vibration is infrared inactive (or nearly inactive). Give reason. In which region, C–H stretching absorptions of alkanes are exhibited?

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Question:

Explain the degrees of freedom for polyatomic molecules.

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Question:

Explain the electronic spectra of the acetylenic and benzenoid chromophore.

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Question:

Explain bathochromic shift with a suitable example.

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Question:

Give the schematic diagram of the order of molecular orbital energies and give the possible electronic transitions in them.

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Question:

(i) The attack of the electrophile in furan occurs at the C-2 (or) position. Explain with the help of a suitable example.
(ii) Write the preparation of pyridine.

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Question:

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Question:

Give IUPAC name of the following compounds:

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Question:

How are the signals in an atomic spectrum characterized? Illustrate your answer.

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Question:

What is the necessary condition for observing IR spectrum? Describe in brief the

types of vibrations for a polyatomic molecule.

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Question:

Write the expression of Lambert’s and Beer’s law. List the factors responsible for the deviation from Beer-Lambert’s law.

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Question:

Write the shortcomings of wave model of electromagnetic radiation. Describe the model that was able to explain these shortcomings.

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Question:

An impure sample of $C_aC_2O_4-H_2O$ is analyzed using TGA technique. TG curve of the sample indicates the total mass change from 85 mg to 30.7 mg when this sample was heated up to 1173 K. calculate the purity of the sample.