List of practice Questions

If glucose of $36\, g$ weight is dissolved in $2 \,kg$ of $H_2O$ then, change in boiling point $(\Delta T_b)$ at 1.013 bar will be ($K_b$ for ${H_2O}$ is ${ 0.52\, K\, kg \,mol^{-1}}$)

Concentrated aqueous sulphuric acid is $98 \% \,H _{2} SO _{4}$ by mass and has a density of $1.80 \,g .\, mL ^{-1}$ Volume of acid required to make $1$ litre of $0.1\, M \,H _{2} SO _{4}$ solution is:

With increase in temperature, which one of these changes?

In the plot of $ PV $ vs $ P $ at $ 273\, K $ , positive deviation from ideal behaviour under all pressure conditions is shown by the gas

A particle executing $SHM $ has a maximum speed of $0.5 \, ms^{ -1}$ and maximum acceleration of $1.0 \, ms^{-2}$ The angular frequency of oscillation is

A cylinder of radius $R$, length $L$ and density $\rho$ floats upright in a fluid of density $\rho_0$. If it is given a small downward displacement of amplitude $x$, the time period of resulting undamped oscillation is

Time period of pendulum, on a satellite orbiting the earth, is

In a first order reaction, the time taken for 90% decay is 12 days. The time taken for 99% decay is

Thermal decomposition of $HI$ on gold surface is a

The overall order of a reaction which has the rate expression, rate = $k[A]^{1/2}\, [B]^{1/2}$ is

For a 1st order reaction the unit of rate constant is

Inversion of cane sugar by acid hydrolysis in excess of water is

$ 50\% $ of a first order reaction is complete in $ 23 $ minutes. Calculate the time required to complete $ 90\% $ of the reaction

75% of a first order reaction was completed in 32 min. When would 50% of the reaction completed?

The half life period of a radio active element is $30$ days, after $90$ days the following quantity will be left

What weight of $ HCl $ is present in $ 155\, ml $ of a $ 0.54\, M $ solution?

Two pith balls, each of mass 1.8 g are suspended from the same point by silk threads each of length 20 cm. When equal charge $Q$ is given to both the balls, they separate until the two threads become perpendicular. Then the charge $Q$ on each pith ball is $\left[\frac{1}{4\pi \varepsilon_0 }=9 \times10^{9} N m^{2} C^{-2}\right]$

A charge $Q$ is to be divided into two parts : $q$ and $Q - q$. What is the relation between $q$ and $Q$ if the two parts, when placed apart, has maximum coloumb repulsion

Three concentric metallic spherical shells of radii $R, 2R$ and $3R$ are given charges $Q_1, Q_2, Q_3$ respectively. It is found that the surface charge densities on the outer surface of the shells are equal. Then the ratio of the charges given to the shells $Q_1 : Q_2 : Q_3$ is

A charge $+q$ is placed at origin. There are two concentric spherical surfaces; $S_1$ of radius $R$ and $S_2$ of radius $2R$. Both the surfaces have their centres at the origin. Let $\phi_1$ denote the flux through $S_1$ and $\phi_2$ the flux through $S_2$. The relation between $\phi_1$ and $\phi_2$ is

The correct statement about electric dipole is

Three identical charges are placed at the vertices of an equilateral triangle. The force experienced by each charge, (if k = 1/4$\pi\varepsilon_{0}$) is

The increasing order of bond order of $O_2, O_2^+ , O_2^-$ and $O_2^{-}$ is

An electron initially at rest, is accelerated through a potential difference of 200 volt, so that it acquires a velocity ${8.4 \times 10^6 m s^{-1}}$, the value of $e/m$ of electron will be

Among the following, the achiral amino acid is