List of top Questions asked in COMEDK UGET

The decreasing order of stability of oxides of halogen is
A $2\,kg$ mass lying on a table is displaced in the horizontal direction through $50\,cm$. The work done by the normal reaction will be
The numbers of $ {H^+}$ ions present in 1 mL of a solution whose pH is 13
A mixture of methylamine and dimethylamine is given to you. The reagents used to separate the components of the mixture are
$\cot^{-1} (21) + \cot^{-1} (13) + \cot^{-1} (-8) =$
The shortest distance between the lines $\frac{ x - 3}{3} = \frac{y-8}{-1}= \frac{z - 3}{1} $ and $\frac{ x + 3}{-3} = \frac{y +7}{2}= \frac{z - 6}{4} $ is
A message signal of frequency $10\, kHz$ and peak value of $10\,volts$ is used to moderate a carrier of frequency $1 \,MHz$ and peak voltage $20 \, volts$. The modulation index and side bands produced are
If $A = \begin{bmatrix}1&0\\ 1&1\end{bmatrix}$ and $A^8 = aA +bI,$ then $(a , b) = $
Pick the incorrect statement among those given below.
If $\int\limits \frac{\cos \, 8x + 1}{ \tan \, 2x - \cot \, 2x} dx = a \, \cos \, 8x + c , $ then $a$ =
A uniform chain of length $L$ is lying partly on a table, the remaining part hanging down from the edge of the table. If the coefficient of friction between the chain and the table is $0.5$, what is the minimum length of the chain that should lie on the table, to prevent the chain from slipping down to the ground?
The angle between the curves $y^2 = 4ax$ and $ay = 2x^2$ is
The area in square units bounded by the normal at $(1, 2)$ to the parabola $y^2 = 4x, x$-axis and the curve is given by
The mean or average value of $AC$ over a complete cycle is
Which of the following compounds is responsible for depletion of ozone layer?
A equiangular glass prism of refractive index 1.6 is kept fully immersed in water of refractive index 4/3, for a certain ray of monochromatic light.What is the closest value for the angle of minimum deviation of the light ray in this setup? (Take sine 37 = 0.6)
All lights are switched off, except for a bright point-light source kept at the bottom of a swimming pool filled with clear water of refractive index $4/3$. As a result, only a circular patch of $6\, m$ diameter of the water surface is visible to spectators standing around the swimming pool. Which of the following gives the nearest value of the depth of the pool?
Under a constant pressure head, the rate of flow of orderly volume flow of liquid through a capillary tube is $V$. If the length of the capillary is doubled and the diameter of the bore is halved, the rate of flow would become
Amplitude of the complex number $i\, \sin \bigg( \frac{\pi}{19} \bigg)$ is
A person sitting firmly over a rotating stool has his arms stretched. If he folds his arms, his angular momentum about the axis of rotation
$\lambda^{\circ}_m$ for $ {NH_4Cl, NaOH}$ and $ {NaCl}$ are $130, 248$ and $ {126.5\, ohm^{-1} \, cm^2 \, mol^{-1}}$ respectively. The $\lambda^{\circ}_m$ of $ {NH_4OH}$
A ladder $5\,m$ long is leaning against a wall. The bottom of the ladder is pulled along the ground away from the wall, at the rate of $2m/sec$. The speed at which its height on the wall decreases when the foot of the ladder is $4\, m$ away from the wall is
The wireless communication frequency bands for Cellular Mobile Radio (mobile to base station) are in range of
Consider the acid strength of the carboxylic acids: (i) $ {PhCOOH}$ (ii) $o - { NO_2C_6H_4COOH}$ (iii) $p- {NO_2C_6H_4COOH}$ (iv) $m- {NO_2C_6H_4COOH}$
A $10\,kg$ collar is attached to a spring (spring constant $600\, N/m$), it slides without friction over a horizontal rod. The collar is displaced from its equilibrium position by $20\,cm$ and released. What is the speed of the oscillation?