List of top Questions asked in COMEDK UGET

If $\omega$ is a cube root of unity, then the value of determinant $\begin{vmatrix}1+\omega&\omega^{2}&\omega \\ \omega^{2} + \omega &-\omega &\omega^{2} \\ 1+\omega^{2} &\omega &\omega^{2} \end{vmatrix}$
If $y = \sin^{2} \left(\tan^{-1} \sqrt{\frac{1-x^{2}}{1+x^{2}}}\right), $ then $\frac{dy}{dx}$ =
The temperature of one mole of an ideal gas increases from 298 K when it absorbs 200 J of heat at constant volume. The change in the internal energy of the gas is
The volume of $CO_2$ (in $cm^3$) liberated at S.T.P. when 1.06 g of anhydrous sodium carbonate is treated with excess of dilute HCl is [atomic mass of Na= 23]
IUPAC name of $ {[CrCl_2(NH3)4]NO_3}$ is
A particle executes simple harmonic motion with amplitude A. The distance moved by the particle in one oscillation is
The current in a coil changes from 1 mA to 5 mA in 4 ms. ? If the coefficient of self-inductance of the 'coil is 10 mH,. the magnitude of "self-induced" emf is?
The heat of formation of $ {H_2O_{(l)}}$ is -286 kJ. The? heat of formation of $ { H_2O_{(g)}}$ is likely to be
The atomic number of the element with highest ionization energy among the following is
LCD stands for
A block of mass 0.1 kg is held against a wall by applying a horizontal force of 5 N on it. If $\mu,$ between the wall? and the block is 0.5, the magnitude of the frictional force acting on the block is
For the dissociation of limestone in the slag zone of the blast furnace, the reaction is
Which one of the following ores is obtained by floatation process?
If $\alpha, \beta , \gamma$ are the roots of the equation $x^3 - 3x^2 + 2x - 1 = 0$ then the value of $[(1 - \alpha) (1 -\beta )(1 - \gamma)]$ is
If $x =at + bt^2$ where $x$ is measured in m and t ins, thenthe dimension of (b/a) is
A ring rolls down an inclined plane. The ratio of rotational kinetic energy to translational kinetic energy is
In Lassaigne's test for nitrogen in an organic compound, the blue colouration is due to the formation of
The conjugate acid of $ NH_2^- $ is
The oxidation number of oxygen is -1 in
A glass hemisphere of radius 0.1 cm and refractive index 1.5 is placed over a spot on a table and the spot is viewed from above. The spot appears to be
An electron having spin quantum number, $s = -1/2$ and magnetic quantum number, $m = + 3$ can be present in
A particle is moving eastward with velocity $5 \, m \, s^{-1}$ In 10 s the velocity changes to $5\, m\, s^{-1}$ northwards. The average acceleration in this time is
The ratio of speed of sound in Hydrogen to that in Oxygen at the same temperature is
In the case of the Bohr atom model, if $E_k$ and $U$ are the kinetic and potential energies of an electron in an orbit then,
A mass of 0.1 kg is hung at the 20 cm mark from a 1 m rod weighing 0.25 kg pivoted at its centre. The rod will not topple if