COMEDK 2022

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Sun, Jun 19, 2022 3:30 AM

## Chemistry

The chemical formula of Lucas reagent is

View Question Alkyl halides undergoing SN2 reaction do inverse

View Question X and Y in the following reactions are

View Question For the reaction, H$$_2$$(g) + I$$_2$$(g) $$\rightleftharpoons$$ 2HI(g) the position of equilibrium can be shifted to th

View Question Which of the following are not path functions?
I. H $$-$$ TS
II. W
III. q
IV. q + W

View Question The system that forms maximum boiling azeotropes is

View Question KMnO$$_4$$ acts as an oxidising agent in acidic medium. The number of moles of KMnO$$_4$$ that will be required to react

View Question What can be A and B in the following reaction?

View Question Which of the following is a false statement?

View Question Which of the following molecules does not exhibit dipole moment?
(i) CCl$$_4$$ (ii) CO$$_2$$ (iii) NH$$_3$$ (iv) CHCl$$_

View Question Which of the following is highly basic?

View Question The relation between work done in reversible and irreversible process is

View Question What is the function platelets?

View Question The monosaccharides of maltose is

View Question Which of the following does not affect solubility of a gas in liquid?

View Question A newly prepared radioactive nuclide has a decay constant of 6.93 s$$^{-1}$$. What is the half-life of the nuclide?

View Question The essential amino acids are
(i) Leucine (ii) Glutamic acid (iii) Asparagine (iv) Valine
correct option is

View Question Increasing order of bond order of oxygen and its ions is

View Question Minimum number of nodes are present in

View Question pH of 10$$^{-3}$$ M solution of KOH is

View Question Which of the product is not possible in Wurtz reaction?

View Question On treatment of glucose with bromine water the product formed is

View Question Which among the following forms minimum boiling azeotropes?
(i) Heptane + Octane
(ii) Water + Nitric acid
(iii) Ethanol

View Question Which of the following statement is incorrect about activation energy?

View Question The P-O bond order in PO$$_4^{3-}$$ is

View Question $$\mathrm{O^{2-},F^-,Mg^{2+},Al^{3+},O_2,F_2}$$. How many of the species given above isoelectronic?

View Question The equilibrium constant, $$K_C$$ for $$3C_2H_2(g) \rightleftharpoons C_6H_6(g)$$ is 4 L$$^2$$mol$$^{-2}$$. If the equil

View Question Identify the product formed in the given reaction.

View Question Which of the following gas readily de-colourises the acidified KMnO$$_4$$ solution?

View Question What will be the emf of the following cell at 25$$^\circ$$C?
Fe/Fe$$^{2+}$$ (0.001 M) | | H$$^+$$ (0.01 M) | H$$_2$$(g)

View Question Which of the following vitamin is responsible for Beri-Beri disease?

View Question Find the product formed for the given reaction.
$$\mathrm{{C_6}{H_5}CHO + {H_3}C - C{H_2} - CHO\buildrel {Dil.\,NaOH/\De

View Question In which of the following changes, entropy decreases?

View Question Which among the following will not liberate nitrogen on reaction with nitrous acid?

View Question The complex which does not show optical isomerism is

View Question The solution which have lowest freezing point is

View Question Calculate the molar conductance of 0.025 M aqueous solution of calcium chloride at 25$$^\circ$$C. The specific conductan

View Question For the reaction 2N$$_2$$O$$_5$$ $$\to$$ 4NO$$_2$$ + O$$_2$$.
If initial pressure is 100 atm and rate constant $$k$$ is

View Question The difference between heat capacity at constant pressure and heat capacity at constant volume is

View Question Which of the following compound does not exists?

View Question The major product in the given reaction is

View Question The spectrum of He$$^+$$ is similar to

View Question The Paschen series of hydrogen spectrum lies in which region?

View Question The oxidation state of nickel in [Ni(CO$$_4$$)] is

View Question ## Mathematics

The value of $${3^{{{\log }_4}5}} - {5^{{{\log }_4}3}}$$ is

View Question If the tangent to the curve $$xy + ax + by = 0$$ at (1, 1) is inclined at an angle $${\tan ^{ - 1}}2$$ with X-axis, then

View Question If $$\mathop {\lim }\limits_{x \to 0} {{(1 + {a^3}) + 8{e^{1/x}}} \over {1 + (1 - {b^3}){e^{1/x}}}} = 2$$, then

View Question If two circles $${(x - 1)^2} + {(y - 3)^2} = {r^2}$$ and $${x^2} + {y^2} - 8x + 2y + 8 = 0$$ intersect in two distinct p

View Question The approximate value of $$(0.007)^{1/3}$$ is

View Question the circle $${x^2} + {y^2} + 4x - 7y + 12 = 0$$ cuts an intercept on Y-axis of length

View Question Let $$f(x) = a - {(x - 3)^{8/9}}$$, then maxima of $$f(x)$$ is

View Question If the derivative of the function $$f(x) = \left\{ {\matrix{
{b{x^2} + ax + 4;} & {x \ge - 1} \cr
{a{x^2} + b;}

View Question If $$\mathop {\lim }\limits_{x \to \infty } {\left( {1 + {a \over x} + {b \over {{x^2}}}} \right)^{2x}} = {e^2}$$, then

View Question $$S\equiv x^2+y^2+2x+3y+1=0$$ and $$S'\equiv x^2+y^2+4x+3y+2=0$$ are two circles. The point $$(-3,-2)$$ lies

View Question The probability of choosing randomly a number c from the set {1, 2, 3, ... 9} such that the quadratic equation $$x^2+4x+

View Question Shade the feasible region for the inequations $$6x+4y\le120, 3x+10y\le180,x,y\ge0$$ in a rough figure.

View Question The maximum of Z is where, $$Z=4x+2y$$ subject to constraints $$4x+2y\ge46,x+3y\le24$$ and $$x,y\ge0$$ is

View Question If for any 2 $$\times$$ 2 square matrix A,
A (adj A) = $$\left[ {\matrix{
8 & 0 \cr
0 & 8 \cr
} } \right]$$,

View Question If $$A = \left[ {\matrix{
a & 0 & 0 \cr
0 & a & 0 \cr
0 & 0 & a \cr
} } \right]$$, then $$|A||adj\,A|$$

View Question If $$A = \left[ {\matrix{
{2 - k} & 2 \cr
1 & {3 - k} \cr
} } \right]$$ is a singular matrix, then the value

View Question If $$\theta$$ be the angle between the vectors $$a = 2\widehat i + 2\widehat j - \widehat k$$ and $$b = 6\widehat i - 3\

View Question If x, y and z are non-zero real numbers and $$a = x\widehat i + 2\widehat j,b = y\widehat j + 3\widehat k$$ and $$c = x\

View Question Maximum value of $$z=12x+3y$$, subject to constraints $$x\ge0,y\ge0,x+y\ge5$$ and $$3x+y\le9$$ is

View Question If $$\mathbf{p}=\hat{i}+\hat{j}, \mathbf{q}=4 \hat{k}-\hat{j}$$ and $$\mathbf{r}=\hat{i}+\hat{k}$$, then the unit vector

View Question The line $$\frac{x-3}{4}=\frac{y-4}{5}=\frac{z-5}{6}$$ is parallel to the plane

View Question $$\int \frac{1}{x \sqrt{a x-x^2}} d x$$ is

View Question $$\int \frac{3^x}{\sqrt{1-9^x}} d x$$ is equal to

View Question $$\int\limits_{ - {\pi \over 2}}^{{\pi \over 2}} {\cos x\,dx} $$

View Question The angle between the lines $${{x + 4} \over 3} = {{y - 1} \over 5} = {{z + 3} \over 4}$$ and $${{x + 1} \over 1} = {{y

View Question The point of intersection of the lines $${{x - 1} \over 1} = {{y - 1} \over 2} = {{z - 2} \over 3}$$ and $${{x -5} \over

View Question Five persons A, B, C, D and E are in queue of a shop. The probability that A and B are always together is

View Question If the probability for A to fail in an examination is 0.2 and that for B is 0.3, then the probability that either A or B

View Question Three vertices are chosen randomly from the seven vertices of a regular 7-sided polygon. The probability that they form

View Question If A, B and C are three mutually exclusive and exhaustive events such that P(A) = 2P(B) = 3P(C). What is P(B)?

View Question If $$U_{n+1}=3 U_n-2 U_{n-1}$$ and $$U_0=2, U_1=3$$, then $$U_n$$ is equal to

View Question If $$4^n+15n+P$$ is divisible by 9 for all $$n\in N$$, then the least negative integral value of P is

View Question $$(2^{3n}-1)$$ is divisible by

View Question If $$S = {{{2^2} - 1} \over 2} + {{{3^2} - 2} \over 6} + {{{4^2} - 3} \over {12}}\, + \,...$$ upto 10 terms, then S is e

View Question $$\sum\limits_{n = 1}^m {n\,.\,n!} $$ is equal to

View Question The first and fifth terms of an A.P. are $$-14$$ and 2 respectively and the sum of its n terms is 40. The value of n is

View Question The solution of the differential equation $${{{d^2}y} \over {d{x^2}}} = 0$$ represents

View Question The solution of the differential equation $$\frac{d y}{d x}+\sqrt{\frac{1-y^2}{1-x^2}}=0$$ is

View Question The solution of the differential equation $$x \frac{d y}{d x}=\cot y$$ is

View Question If nC3 = 220, then n = ?

View Question A multiple choice examination has 5 questions. Each question has three alternative answers of which exactly one is corre

View Question If $$\sin A+\sin B=a$$ and $$\cos A+\cos B=b$$, then $$\cos (A+B)$$ equals?

View Question What is $${{\cos \theta } \over {1 - \tan \theta }} + {{\sin \theta } \over {1 - \cot \theta }}$$ equal to?

View Question Find the general solution of $$\sin 2x + \cos x = 0$$.

View Question If $$f(x)+2f(1-x)=x^2+5,\forall$$ real values of $$x$$, then $$f(x)$$ is given by

View Question If $$A=\{3,5,7\}$$ and $$B=\{1,2,3,5\}$$, then $$A \times B \cap B \times A$$ is equal to

View Question Total number of elements in the power set of A containing 17 elements is

View Question The argument of $${{1 - i\sqrt 3 } \over {1 + i\sqrt 3 }}$$ is

View Question Evaluate $${\left[ {{i^{22}} + {{\left( {{1 \over i}} \right)}^{25}}} \right]^3}$$

View Question $${(i + \sqrt 3 )^{100}} + {(i - \sqrt 3 )^{100}} + {2^{100}}$$ is equal to

View Question There are 12 points in a plane out of which 3 points are collinear. How many straight lines can be drawn by joining any

View Question A regular polygon of n sides has 170 diagonals, then n is equal to

View Question Let the equation of the pair of lines $$y=p x$$ and $$y=q x$$ can be written as $$(y-p x)(y-q x)=0$$. Then the equation

View Question The distance of the point $$(1,2)$$ from the line $$x+y+2=0$$ measured along the line parallel to $$2 x-y=5$$ is equal t

View Question The slope of lines which makes an angle 45$$^\circ$$ with the line $$2x-y=-7$$

View Question If 2 and 3 are intercepts of a line L = 0, then the distance of L $$\equiv$$ 0 from the origin is

View Question The total number of terms in the expansion of $${(x + y)^{100}} + {(x - y)^{100}}$$ is

View Question The coefficient of $${x^{20}}$$ in the expansion of $${(1 + 3x + 3{x^2} + {x^3})^{20}}$$ is

View Question In the expansion of $${(1 - 3x + 3{x^2} - {x^3})^{2n}}$$, the middle term is

View Question How many 5-digit numbers greater than 50,000 can be formed using the digits 1, 2, 3, 4, 5 without repetition?

View Question ## Physics

During the phenomenon of resonance

View Question If the earth were to spin faster, acceleration due to gravity at the poles

View Question If heat engine is filled at temperature 27$$^\circ$$C and heat of 100 k cal is taken from source at temperature 677$$^\c

View Question During $$\alpha$$-decay, atomic mass of parent nuclei is

View Question A point object is placed on the optic axis of a convex lens of focal length $$f$$ at a distance of $$2f$$ to the left of

View Question For CE transistor amplifier, the audio signal voltage across the collector resistance of 4 k$$\Omega$$ is 5 V. If the cu

View Question From the following p-V diagram, an ideal gas undergoing a change of state from A to B. Four different processes I, II, I

View Question A copper and a steel wire of same diameter are connected end to end. A deforming force F$$_1$$ is applied to the wire wh

View Question If kinetic energy of a body is increased by 300%, then percentage change in momentum will be

View Question Which of the following diagram represents the variation of the electric field with distance r from the centre of a unifo

View Question A DC ammeter and a hot wire ammeter are connected to a circuit in series. When a direct current is passed through circui

View Question A bullet of mass $m$ hits a mass $$M$$ and gets embedded in it. If the block rises to a height $$h$$ as a result of this

View Question A particle of mass $$m$$ is moving in a horizontal circle of radius $$r$$ under a centripetal force given by $$\left(\fr

View Question The height at which the acceleration due to gravity becomes $$\frac{g}{16}$$ (where, g = acceleration due to gravity on

View Question Which of the following series spectrum of hydrogen atom lies in ultraviolet region?

View Question Speed of electromagnetic wave in a medium having relative permittivity $$\varepsilon_r$$ and relative permeability $$\mu

View Question The wavelength of the second line of Balmer series is 486.4 nm. What is the wavelength of the first line of Lyman series

View Question A bat emitting an ultrasonic wave of frequency 4.5 $$\times$$ 104 Hz at speed of 6 m/s between two parallel walls. The t

View Question A disc of moment of inertia 4 kg - m$$^2$$ revolving with 16 rad/s is placed on another disc of moment of inertia 8 kg -

View Question An electric current $I$ enters and leaves a uniform circular wire of radius $r$ through diametrically opposite points. A

View Question Television frequencies are of the order of 100 MHz, while radio frequencies are of the order of 1 MHz. Using these as ty

View Question A particle is performing simple harmonic motion. Equation of its motion is $$x = 5\sin \left( {4t - {\pi \over 6}} \rig

View Question A raft of density 600 g/m$$^3$$ and mass 120 kg floats in water. How much weight can be put on the raft to make it just

View Question The displacement $$x$$ of a particle in a straight line motion is given by $$x=1-t-t^2$$. The correct representation of

View Question A galvanometer having a resistance of 4 $$\Omega$$ is shunted by a wire of resistance 2 $$\Omega$$. If the total current

View Question In Young's double slit experiment, the two slits are separated by 0.2 mm and they are 1 m from the screen. The wavelengt

View Question A series L-C-R circuit is connected to an AC source of 220 V and 50 Hz shown in figure. If the readings of the three vol

View Question A regular hexagon of side $$m$$ which is a wire of length 24 m is coiled on that hexagon. If current in hexagon is $$I$$

View Question Which of the following gate give the similar output as the output of circuit diagram shown in the figure?

View Question Water is poured in a tank through a cylindrical tube of area of cross-section A and ejecting water at a constant speed 4

View Question If R and C denote resistance and capacitance of a material, then the dimension of CR will be :

View Question An ideal gas is taken through the cycle A $$\to$$ B $$\to$$ C $$\to$$ A, as shown in the figure. If the net heat supplie

View Question From a circular disc of radius R, a square is cut out with a radius as its diagonal. The centre of mass of remaining por

View Question A bar magnet of length $$6 \mathrm{~cm}$$, is placed in the magnetic meridian with $$N$$ pole, pointing towards the geog

View Question A force F applied on the wire of radius r and length L and change in the length of the wire is $$l$$. If the same force

View Question A 30 mW laser beam has a cross-sectional area of 15 mm2. The magnitude of the maximum electric field in this electromagn

View Question The average kinetic energy of a molecule in air at room temperature of 20$$^\circ$$C

View Question Two guns P and Q can fire bullets at speeds 2 km/s and 4 km/s, respectively. From a point on a horizontal ground, they a

View Question A cell of emf 2 V is connected with a load of resistance 1.5 $$\Omega$$. The power delivered by the cell to the load is

View Question A plane glass mirror of thickness 3 cm of material of $$\mu=\frac{3}{2}$$ is silvered on the black surface. When a point

View Question Ultraviolet light of wavelength 99 mm falls on a metal plate of work function 1.0 eV. If the mass of the electron is 9.1

View Question In Young's double slit experiment, the fringe width is found to be 0.4 mm. If the whole apparatus is immersed in a liqui

View Question There are two identical containers C$$_1$$ and C$$_2$$ containing to identical gases. Gas in C$$_1$$ is reduced to half

View Question If K$$_1$$ and K$$_2$$ are maximum kinetic energies of photoelectrons emitted when lights of wavelengths $$\lambda_1$$ a

View Question A car is moving with a speed of 54 km/h. If after 3 s, the driver applies brakes and it stops, then how much distance is

View Question A source of sound emits sound waves at frequency $$f_0$$. It is moving towards an observer with fixed speed $${v_s}$$ ($

View Question In which mode of transmission, the heat waves travel along straight line with the speed of light?

View Question The escape velocity of a projectile on the earth's surface is 11.2 km/s. A body is projected out with thrice this speed.

View Question Consider a compound slab consisting of two different materials having equal lengths, thickness and thermal conductivitie

View Question A circular coil of 20 turns and radius 10 cm is placed in a uniform magnetic field of 0.10 T normal to the plane of the

View Question With what minimum acceleration can a fireman slide down a rope while breaking strength of the rope is $$\frac{2}{3}$$ of

View Question The string of length 2 m is fixed at both ends. If the string vibrates in its fourth normal mode with a frequency of 500

View Question An alternating voltage = 200 $$\sin 100t$$ is applied to a series combination of $$R=30\Omega$$ and an inductor of 400 m

View Question In the network shown in figure, the equivalent capacitance between points P and Q is

View Question The resultant of two forces acting at an angle of 120$$^\circ$$ is 10 kg-W and is perpendicular to one of the forces. Th

View Question Choose the incorrect statements.

View Question Charge on electron is

View Question Two charged spheres of $$-20\mu$$C and $$60\mu$$C are kept at a certain distance. They are touched and kept again at the

View Question The AC voltage across a resistance can be measured using a

View Question