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For the following questions answer them individually
Area bounded by parabola $$y^{2} = x$$ and straight line 2y = x is
$$\frac{1}{3}$$
$$\frac{2}{3}$$
$$\frac{3}{3}$$
$$\frac{4}{3}$$
Area bounded by curve $$y^{2} = x$$; and $$y = |x|$$, in square units is
$$\frac{1}{6}$$
$$\frac{5}{6}$$
$$\int_{0}^{a} \frac{xdx}{\sqrt{a^2 + x^2}}$$=
$$a(\sqrt{2} - 1)$$
$$a(\sqrt{2} + 1)$$
$$a(1 - \sqrt{2})$$
$$2a\sqrt{5}$$
$$\int_{0}^{a} \frac{x^{4}dx}{(a^{2} + x^{2})^4}$$=
$$\frac{1}{16}a^{3}(\frac{\pi}{4} - \frac{1}{3})$$
$$\frac{1}{16}a^{3}(\frac{\pi}{4} + \frac{1}{3})$$
$$\frac{1}{16a^{3}}(\frac{\pi}{4} - \frac{1}{3})$$
$$\frac{1}{16a^{3}}(\frac{\pi}{4} + \frac{1}{3})$$
$$\int_{0}^{\frac{\pi}{6}} \frac{\sin x}{\cos^{3}} dx$$=
$$\frac{1}{2}$$
Image
Identify the name of the above molecular shape
Octahedral
Square pyramidal
Bisphenoidal
Trigonal bipyramidal
The bond order between oxygen atoms in ozone molecules is
1
2
1.5
1.66
Paramagnetism arises from the presence of unpaired electrons, each such electron having a magnetic moment associated with its spin angular momentum and orbital angular momentum.
$$\mu = n \sqrt{n + 2}$$
$$\mu = \sqrt{(n(n + 2))}$$
$$\mu = n \sqrt{(n - 2)}$$
$$\mu = n \sqrt{(2n)}$$
Keto-enol isomerism is an example of
enantiomerism
stereoisomerism
tautomerism
conformers
Which one of the following molecules is not aromatic
Naphthalene
Furan
Cyclobutadiene
cyclotetradecaheptaene
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