List of practice Questions

Effective resistance between $A$ and $B$ in the following circuit
Four metal plates are arranged as shown. Capacitance between $X$ and $Y (A \to$ Area of each plate, $d \to$ distance between the plates)
If $\vec{a}$ and $\vec{b}$ are unit vectors then what is the angle between $\vec{a}$ and $\vec{b}$ for $\sqrt{3} \, \vec{a} - \vec{b}$ to be unit vector ?
Van-Arkel method of refining Zirconium involves,

When an electrolyte is dissociated in solution, the van't Hoff factor \((i)\) is,

A metallic wire of cross sectional area $ 4 \, mm^{2} $ carries a current of $ 3.2 \, A $ . If $ 5 \times 10^{26} $ charge carriers flow across the wire per unit volume, then their drift velocity in $ m \,s^{-1} $ is
An $1800\, W$ toaster, a $1.3 \, KW$ electric fan and a $100W$ lamp are plugged in the same $120V$ circuit i.e. all the three devices are in parallel. What is the approximate value of the total current (i.e. sum of the current drawn by the three devices) through circuit ?
The value of $\tan \frac{\pi}{8}$ is equal to
In a 3.2 Kbp long piece of DNA, 820 adenine bases were found. What would be the number of cytosine bases?
One mole of hydrazine $(N_2H_4)$ loses $10$ moles of electrons in a reaction to form a new compound $X$. Assuming that all the nitrogen atoms in hydrazine appear in the new compound, what is the oxidation state of nitrogen in $X$ ? (Note: There is no change in the oxidation state of hydrogen in the reaction)
The equation of continuity in incompressible fluid flow is based on the principle of conservation of
Narcotic analgesic is
Which one of the following is a benzenoid aromatic compound?
One of the builders present in scouring soaps?
The flow of liquid in a tube is laminar, when the value of Reynold�s number lies between
In a room where the temperature is $30^{\circ}C$ a body cools from $61^{\circ}C$ to $59^{\circ}C$ in 4 minutes. The time taken by the body to cool from $51^{\circ}C$ to $49^{\circ}C$ will be about
A body falls freely for $10\,sec$. Its average velocity during this journey (take $g = 10 \, ms^{-2}$)
From the following pedigree chart of a family, one can make an analysis that,
The hybridisation of $C$ in diamond, graphite and ethyne is in the order
If the letters of the word KRISNA are arranged in all possible ways and these words are written out as in a dictionary, then the rank of the word KRISNA is
The spin-only magnetic moment of $\left[crF_{6}\right]^{4-}$ (atomic number of Cr is 24) is
Which reaction is not appropriate for the synthesis of the following?
If $[x]$ denotes the greatest integer less than or equal to $x$, then the value of the integral $\int\limits^{{2}}_{{0}}x^2 [x] dx$
The letters of the word COCHIN are permuted and all permutation are arranged in an alphabetical order as in an English dictionary. The number of words that appear before the word COCHIN is
If the matrix $A=\begin{pmatrix}2&0&0\\ 0&2&0\\ 2&0&2\end{pmatrix},$ then $A^{n}=\begin{pmatrix}a&0&0\\ 0&a&0\\ b&0&a\end{pmatrix}, n\,\in\,N$ where