List-I (Hybridization) | List-II (Orientation in Space) |
---|---|
(A) sp3 | (I) Trigonal bipyramidal |
(B) dsp2 | (II) Octahedral |
(C) sp3d | (III) Tetrahedral |
(D) sp3d2 | (IV) Square planar |
\[\text{sp}^3 \rightarrow \text{Tetrahedral}\]
\[\text{dsp}^2 \rightarrow \text{Square planar}\]
\[\text{sp}^3\text{d} \rightarrow \text{Trigonal bipyramidal}\]
\[\text{sp}^3\text{d}^2 \rightarrow \text{Octahedral}\]
LIST I (Instrumentation/Technique) | LIST II (Useful for) | ||
A. | Hybridization | I. | Purification of biomolecules |
B. | Confocal scanning microscope | II. | Separation of proteins |
C. | Western Blotting | III. | Three-dimensional image |
D. | Chromatography | IV. | Location of complementary DNA |
Let \( y = f(x) \) be the solution of the differential equation
\[ \frac{dy}{dx} + 3y \tan^2 x + 3y = \sec^2 x \]
such that \( f(0) = \frac{e^3}{3} + 1 \), then \( f\left( \frac{\pi}{4} \right) \) is equal to:
Find the IUPAC name of the compound.
If \( \lim_{x \to 0} \left( \frac{\tan x}{x} \right)^{\frac{1}{x^2}} = p \), then \( 96 \ln p \) is: 32