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List of top Questions asked in COMEDK UGET

The numbers of $ {H^+}$ ions present in 1 mL of a solution whose pH is 13
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
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 mean or average value of $AC$ over a complete cycle is
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) = $
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)
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 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 angle between the curves $y^2 = 4ax$ and $ay = 2x^2$ is
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
Pick the incorrect statement among those given below.
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?
Which of the following compounds is responsible for depletion of ozone layer?
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?
The dimensions of four wires of the same material are given below. In which wire the increase in length will be maximum when the same tension is applied?

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