List of top Questions asked in COMEDK UGET

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?
Amplitude of the complex number $i\, \sin \bigg( \frac{\pi}{19} \bigg)$ 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
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
If $\int\limits \frac{\cos \, 8x + 1}{ \tan \, 2x - \cot \, 2x} dx = a \, \cos \, 8x + c , $ then $a$ =
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
If $A = \begin{bmatrix}1&0\\ 1&1\end{bmatrix}$ and $A^8 = aA +bI,$ then $(a , b) = $
The mean or average value of $AC$ over a complete cycle is
Pick the incorrect statement among those given below.
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)
Which of the following compounds is responsible for depletion of ozone layer?
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
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?
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
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
Consider the acid strength of the carboxylic acids: (i) $ {PhCOOH}$ (ii) $o - { NO_2C_6H_4COOH}$ (iii) $p- {NO_2C_6H_4COOH}$ (iv) $m- {NO_2C_6H_4COOH}$
$\lambda^{\circ}_m$ 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}$
The wireless communication frequency bands for Cellular Mobile Radio (mobile to base station) are in range of
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?
Sulphur sol is an example of
Gabriel phthalimide synthesis is used for the preparation of
A mass $M$ is suspended from a light spring. An additional mass $m$ added displaces the spring further by a distance $X$. Now the combined mass will oscillate on the spring with period
The average energy of molecules in a sample of oxgen gas at $ {300 \, K}$ are $ {6.21 \times 10^{-21} \, J}$. The corresponding values at $ {600\, K}$ are
An urn contains $9$ balls, $2$ of which are white, $3$ blue and $4$ black. $3$ balls are drawn at random from the urn. The chance that $2$ balls will be of the same colour and the third of a different colour is