List of practice Questions

A liquid of bulk modulus $k$ is compressed by applying an external pressure such that its density increases by $0.01\%$. The pressure applied on the liquid is

Temperature of an ideal gas, initially at $27^{\circ}$C, is raised by $6^{\circ}$C. The rms velocity of the gas molecules will,

How many faradays are required to reduce $1\, mol$ of $Cr_{2} O_{7}^{2-}$ to $Cr^{3+}$ in acid medium?

The value of $I$ in the figure shown below is

By passing electric current, \(NaClO_3\) is converted into \(NaClO_4\) according to the following equation \(Na ClO_3 + H_2 O \rightarrow NaClO_4 + H_2\) How many moles of \(NaClO_4\) will be formed when three Faradays of charge is passed through \(NaClO_3\) ?

Square planar complexes of the type $M_{ABXL}$ (where $A, B, X$ and $L$ are unidentate ligands) shows following set of isomers

Let $\vec{a}, \vec{b}$ & $\vec{c}$ be non-coplanar unit vectors equally inclined to one another at an acute angle $\theta$. Then $| [ \vec{a} \; \vec{b} \; \vec{c}] |$ in terms of $\theta$ is equal to

The value of $cos^2 \, 45^{\circ} - sin^2 \, 15^{\circ}$ is

Which of the following compounds will exhibit geometrical isomerism?

A ball impinges directly on a similar ball at rest. The first ball is brought to rest by the impact. If half of the kinetic energy is lost by impact, the value of coefficient of restitution is

The instantaneous voltages at three terminals marked $X , Y$ and $Z$ are given by $V _{ x }= V _{0} \sin \omega t$ $V _{ y }= V _{0} \sin \left(\omega t +\frac{2 \pi}{3}\right)$ and $V _{ z }= V _{0} \sin \left(\omega t +\frac{4 \pi}{3}\right)$ An ideal voltmeter is configured to read $rms$ value of the potential difference between its terminals. It is connected between points $X$ and $Y$ and then between $Y$ and $Z$. The reading(s) of the voltmeter will be

A bird sitting on a single high tension wire does not get electrocuted because

A square loop ABCD, carrying a current I, is placed near and coplanar with a long straight conductor XY carrying a current I, as shown in figure. The net force on the loop will be

$A\, 6\%$ solution of sucrose $C_{22}H_{22} O_{11}$ is isotonic with $3\%$ solution of an unknown organic substance. The molecular weight of unknown organic substance will be:

Azeotropic mixtures are formed only by non-ideal solutions and they may have boiling points either greater than both the components or lesser than both the components. The composition of the vapour phase is same as that of the liquid phase of an azeotropic mixture.

For a solution formed by mixing liquids $L$ and $M$, the vapour pressure of $L$ plotted against the mole fraction of $M$ in solution is shown in the following figure. Here $x _{ L }$ and $x _{ M }$ represent mole fractions of $L$ and $M$, respectively, in the solution. The correct statement $(s)$ applicable to this system is (are)

The depression in freezing point of $0.1\, M$ aqueous solutions of $HCl$, $CuSO_4$ and $K_2SO_4$ are in the ratio

A spring of force constant $k$ is cut into lengths of ratio $1 : 2 : 3$. They are connected in series and the new force constant is $k'$. Then they are connected in parallel and force constant is $k"$ . Then $k' : k''$ is :

A string has a length of 5m between fixed points and has fundamental frequency of 20 Hz. What is the frequency of the second overtone ?

Four massless springs whose force constants are $2k, 2k, k$ and $2k$ respectively are attached to a mass $M$ kept on a frictionless plane as shown in the figure. If the mass $M$ is displaced in the horizontal direction, then the frequency of the system is

When a simple pendulum is moved from the Earth's surface to deep mine, the period of oscillation

For a reaction $\frac{1}{2} A \to 2B$ rate of disappearance of $A$ is related to rate of appearance of $B$ by the expression

In Bryophyta, a specialized organ of the sporophyte for attachment to the gametophyte is called :

Equivalent weight of NH in the reaction, N $?$ NH is 17/3 while that of N is 28/6. Equivalent weight $\quad\quad \quad \quad \quad= \frac{Molecular\, weight}{Number\, of\, e^{-} lost or gained per mole}$