List of practice Questions

The mass of a non-volatile solute of molar mass $40\, g \,mol^{-1}$ that should be dissolved in $114\, g$ of octane to lower its vapour pressure by $20 \%$ is

The $s$-block element used as a catalyst in the manufacture of Buna-$S$ rubber is

A body when fully immersed in a liquid of specific gravity $1.2\, $ weighs $44\,gwt$. The same body when fully immersed in water weighs $50\, gwt$. The mass of the body is

If the velocity of light in vacuum is $3\times10^{8}\, ms^{-1},$ the time taken (in nanosecond) to travel through a glass plate of thickness $10 \,cm$ and refractive index $1.5$ is

$20\, mL\, 0.1( N )$ acetic acid is mixed with $10\, mL$ $0.1( N )$ solution of $NaOH$. The $pH$ of the resulting solution is $\left( p K_{a}\right.$ of acetic acid is $4.74$ )

In the adjoining figure the potential difference between $X$ and $Y$ is $60\,V$. The potential difference the points $M$ and $N$ will be

Under identical conditions, the $S_N1$ reaction will occur most efficiently with

The state of hybridization of the central atom and the number of lone pairs over the central atom in $POCl_{3}$ are

Let $p, q$ and $r$ be the sides opposite to the angles $P, Q$ and $R$, respectively in a $\Delta P Q R$. If $r^{2} \sin P \sin Q=p q$, then the triangle is

If the kinetic energy of an electron is increased four times, the wavelength of the de-Broglie wave associated with it would become

The number of diagonals in a regular polygon of $100$ sides is

The normal at $\left(2,\frac{3}{2}\right)$ to the ellipse, $\frac{x^{2}}{16}+\frac{y^{2}}{3} = 1$ touches a parabola, whose equation is

A thin hollow sphere of mass m is completely filled with a liquid of mass $m$. When the sphere rolls with a velocity $v$, kinetic energy of the system is (neglect friction)

EDTA is a hexadentate ligand. Denticity of a ligand is given by number of lone pairs donated to central atom by a ligand.

A charge $+q$ is placed at the origin $O$ of $X-Y$ axes as shown in the figure. The work done in taking a charge $Q$ from $A$ to $B$ along the straight line $AB$ is

The total number of terms in the expansion of $ ( 1 + x ) ^{2n} - ( 1 - x ) ^{2n} $ after simplification is

In the Rutherford experiment, $\alpha$-particles are scattered from a nucleus as shown. Out of the four paths, which path is not possible?

Which one among the following alcohols will give iodoform on treatment with iodine and sodium hydroxide?

According to Le-Chatelier's principle, the equilibrium constant of a reversible reaction will not shift by

If the point $(1, a)$ lies between the straight lines $x + y = 1$ and $2(x+y) = 3$ then a lies in interval

The parabola $y^2=x$ divides the circle $x^2 +y^2 = 2$ into two parts whose areas are in the ratio

If $\frac{d}{dx}G\left(x\right) = \frac{e^{tan\,x}}{x},x\in\left(0, \pi/2\right),$ then $\int\limits^{1/2}_{1/4} \frac{2}{x}. e^{tan\left(\pi\,x^2\right)}dx $ is equal to

A transition metal M forms a volatile chloride which has a vapour density of 94.8. If it contains 74.75% of chlorine the formula of the metal chloride will be

The density of a $ 3M $ sodium thiosulphate $ (Na_2S_2O_3) $ solution is $ 1.25\, g/mL $ . Calculate the percent by weight of sodium thiosulphate

If $S$ be the area of the region enclosed by $ y = e^{-x^2} $, $y = 0,x = 0$ and $x = 1$ . Then,