List of practice Questions

For two isomorphous crystals $A$ and $B$, the ratio of density of $A$ to that of $B$ is $1.6$ while the ratio of the edge length of $B$ to that of $A$ is $2$. If the molar mass of crystal $B$ is $200\,g\,mol^{-1}$, then that of crystal $A$ is

Gabriel synthesis is used for the synthesis of:

Homolytic fission of a covalent bond leads to the formation of

Identify the product and its colour when $MnO_2$ is fused with solid $KOH$ in the presence of $O_2$

The carbonate that will not decompose on heating is

The charge on the central metal ion in the complex $[Ni(CO)_4]$ is

The correct order of boiling points of $2, 2-dimethylpropane$, $2-methylbutane$ and $n-pentane$ is

The dihalogen derivative $'X'$ of a hydrocarbon with three carbon atoms reacts with alcoholic $ KOH $ and produces another hydrocarbon which forms a red precipitate with ammoniacal $ C{{u}_{2}}C{{l}_{2}} $ . $ 'X' $ gives an aldehyde on reaction with aqueous $ KOH $ . The compound $'X'$ is

A particle of mass $m$ and charge $q$ with an initial velocity $v$ is subjected to a uniform magnetic field $B$ along the vertical direction. The particle will

A particle of mass m is moving along the x-axis under the potential $V (x) = \frac{kx^2}{2} + \frac{\lambda}{x}$, where $k $ and $\lambda$ are positive constants of appropriate dimensions. The particle is slightly displaced from its equilibrium position. The particle oscillates with the angular frequency $\omega$ given by

A stone falls freely from rest from a height $h$ and it travels a distance $\frac{9h}{25}$ in the last second. The value of $h$ is

An electric dipole consists of two opposite charges each 0.05 $\mu$C separated by 30 mm. The dipole is placed in an uniform external electric field of $ 10^6 \, NC^{ - 1}$. The maximum torque exerted by the field on the dipole is

Choose the weak monobasic acid, among the following

Identify the mismatched pair from the following

If the unit of force and length are doubled, the unit of energy will be

In petrochemical industry, alcohols are directly converted to gasoline by passing over heated

The value of ($\Delta H - \Delta E$) for the reaction $C_6H_6(1) + 7\frac{1}{2} O_2(g) \rightarrow 6CO_2(g) + 3H_2O(I)$ at 270C is (R = 2 cal K-1 mol-1)

The wavelength of a 1 keV photon is 1.24 nm. The frequency of 1 MeV photon is:

A voltage $V_{PQ} = V_0 \, \cos \, \omega t$ (where $V_0$ is a real amplitude) is applied between the points P and Q in the network shown in the figure. The values of capacitance and inductance are $C = \frac{1}{\omega R \sqrt{3}}$ and $L = \frac{R \sqrt{3}}{\omega}$ Then, the total impedance between P and Q is

For signal transmission, modulation is necessary

In alkaline medium $ Cl{{O}_{2}} $ oxidizes $ {{H}_{2}}{{O}_{2}} $ to $ {{O}_{2}} $ and itself gets reduced to $ C{{l}^{-}} $ . How many moles of $ H_20_2 $ are oxidized by 1 mole of $ Cl{{O}_{2}} $ ?

Primary, secondary and tertiary alcohols can be distinguished by

The length of a rubber cord is $ {{l}_{1}} $ metre when the tension is $ 4\, N $ and $ {{l}_{2}} $ metre when the tension is $ 6\, N $ . The length when the tension is $9\,N$, is

The reaction of propene with $HBr$ in peroxide proceeds through the intermediate

Two planets have radii $r_1$ and $r_2$ and densities $d_1$ and $d_2$ respectively. Then the ratio of accelerations due to gravity on them is