List of practice Questions

A unit vector which is perpendicular to the vector $2\hat{i} - \hat{j} + 2\hat{k}$ and is coplanar with the vectors $\hat{i} + \hat{j} - \hat{k}$ and $2\hat{i} + \hat{j} - 2\hat{k}$ is
A value of $tan^{-1}\left[sin\left(cos^{-1}\left(\sqrt{\frac{2}{3}}\right)\right)\right]$ is
A thin liquid film formed between a U-shaped wire and a light slider supports a weight of $1.5 ??10^{-2}\, N$ (see figure). The length of the slider is $30\, cm$ and its weight negligible. The surface tension of the liquid film is :
The value of the integral $\int\limits^{0.9}_{{0}}[x - 2 [x]] dx ,$ where $[.]$ denotes the greatest integer function is
A spherical drop of capacitance 1 $\mu$F is broken into eight drops of equal radius. Then, the capacitance of each small drop is
$\displaystyle \lim_{x\to0} \frac{sin\left(\pi\,cos^{2} x\right)}{x^{2}}$ equals
Let p and q denote the following statements p : The sun is shining q: I shall play tennis in the afternoon The negation of the statement "If the sun is shining then I shall play tennis in the afternoon", is
The equation of the normal to the parabola $x^2=8y$ at $x=4$ is
If the lines $\frac{x-2}{1}=\frac{y-3}{1}=\frac{z-4}{-k}$ and $\frac{x-1}{k}=\frac{y-4}{2}=\frac{z-5}{1}$ are coplanar, then k can have
The middle term in the expansion of $\left(1-\frac{1}{x}\right)^{n} \left(1-x^{n}\right)$ in powers of x is
A solid has a $'bcc?? structure. If the distance of nearest approach between two atoms is $1.73??, the edge length of the cell is
As per IUPAC nomenclature, the name of the complex $[Co (H_2O )_4(NH_3 )_2]Cl_3$ is
Which of the following is a natural dye?
Which of the following represents a chelating ligand?
Which one of the following does not differ in E.coli and Chlamydomonas
Which one of the following forms the constituent of cell wall of plant cells?
Which one of the following is a taxonomic aid for identification of plants and animals based on similarities and dissimilarities
Which one of the following is a saprophytic protist ?
Which one of the following is not used as a filler in laundry soaps?
Which one of the following is NOT true regarding electromeric effect ?
Which one of the following is the correct order of field strength of ligands in spectrochemical series?
Which one of the following sets forms the biodegradable polymer ?
Which one of the following structures is an organelle within an organelle?
Which of the following exhibits only + 3 oxidation state ?
Which of the following compounds can be used as antifreeze in automobile radiators ?