List of practice Questions

The sum of n terms of the following series; $1^3 + 3^3 + 5^3 + 7^3 + ....$ is
Assign the Bravais lattice type of the following unit cell structure.
Among the following groupings, which one represents the set of iso-electronic species?
The correct IUPAC name of $H_{3}C-C\left(CH_{3}\right)_{2} -CH =CH_{2}$ is
Which structure for $XeO_{3} \, and XeF_{4}$ are consistent with the VSEPR model?
Which property that polyacetylene exhibits is unusual for an organic polymer?
Which one of the following does not produce $O_{2}$ as the only gaseous product on heating?
Hologram is based on phenomenon of
If $i_1 = 3 \, \sin \, \omega t$ and $i_2 = 4 \, \cos \, \omega t$, then $i_3$ is
For a current carrying inductor, emf associated is 20mV. Now, current through it changes from 6A to 2A in 2s. The coefficient of mutual inductance is
If the nuclear radius of $^{27}Al$ is 3.6 Fermi, the approximate nuclear radius of $^{64}Cu$ in Fermi is
IUPAC name of valeric acid is
A layer of oil with density $724\, kg/m^3$ floats on water of density $1000\, kg/m^3$. A block floats at the oil-water interface with $1/6$ of its volume in oil and $5/6$ of its volume in water, as shown in the figure. What is the density of the block?
Anisole is treated with HI under two different conditions. $\ce{ C + D [conc.HI] A + B }$ The nature of A to D will be
An ionic compound has a unit cell consisting of A ions at the corners of a cube and B ions on the centres of the faces of the cube. The empirical formula for this compound would be
An n-p-n transistor of current gain 80 in common emitter mode gives emitter current equal to 8.1 mA. The base current is
Esterification of acid chloride with ethanol is usually carried out in the presence of pyridine. The function of pyridine is
The number of values of $k$ for which the equation $x^2 - 3x + k = 0$ has two distinct roots lying in the interval $(0, 1)$ are
The points of the ellipse $16x^2 + 9y^2 = 400$ at which the ordinate decreases at the same rate at which the abscissa increases is/are given by
In $\Delta ABC \left(a-b\right)^{2} cos^{2} \frac{C}{2} + \left(a+b\right)^{2} sin^{2} \frac{C}{2} = $
Which one of the following reactions of xenon compounds is not feasible?
Which of the two acids form anhydrides? (I) Oxalic acid (II) Succinic acid (III) Benzoic acid (IV) Phthalic acid
Two solenoids are given - 1st has 1 turn per unit length and 2nd has n turns per unit length. Ratio of magnetic fields at their centres is
Which statement is correct for the given circuit?
The wavelength of an electron for transition from a state $n_1$ to $n_2$ is $\frac{ 9}{8R}$. Which of the following wavelengths is possible for a transition from $n_2$ to $n_1$.