COMEDK 2023 Evening Shift

Paper was held on
Sun, May 28, 2023 4:30 AM

## Chemistry

Identify the starting compound from the following data:
$$\mathrm{C}_6 \mathrm{H}_{14} \mathrm{O}(\mathrm{X})$$ on react

View Question $$5.8 \mathrm{~g}$$ of a gas maintained at $$95^{\circ} \mathrm{C}$$ occupies the same volume as $$0.368 \mathrm{~g}$$ o

View Question A first order reaction proceeds to $$90 \%$$ completion. What will be the approximate time taken for $$90 \%$$ completio

View Question What would be the volume of water required to dissolve $$0.2 \mathrm{~g}$$ of $$\mathrm{PbCl}_2$$ of molar mass $$278 \m

View Question Which one of the following compounds would not undergo Aldol condensation?

View Question Match the following characteristics of transition metals given in Column I with the examples listed in Column II
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View Question Gaseous Nitrous oxide decomposes at $$298 \mathrm{~K}$$ to form Nitrogen gas and Oxygen gas. The $$\Delta \mathbf{H}$$ f

View Question In neutral medium $$\mathrm{KMnO}_4$$ oxidises $$\mathrm{MnSO}_4$$ to _________

View Question What would be the van't Hoff factor for a solution prepared by dissolving $$3.42 \mathrm{~g}$$ of $$\mathrm{CaCl}_2$$ in

View Question The Molar conductivity of $$0.05 \mathrm{M}$$ solution of $$\mathrm{MgCl}_2$$ is $$194.5 \mathrm{~ohm}^{-1} \mathrm{~cm}

View Question The equilibrium constants for the reactions $$a, b$$, and $$c$$ are as given:
a) $$\mathrm{N}_2+3 \mathrm{H}_2=2 \mathrm

View Question Identify the correct IUPAC name of $$[\mathrm{CoCl}_2(\mathrm{NO}_2)(\mathrm{NH}_3)_3]$$

View Question From among the following, identify the compound which forms two moles of a ketone on ozonolysis.
[A] 2,3-Dimethylbutane.

View Question If electrolysis of water is carried out for a time duration of 2 hours, how much electric current in amperes would be re

View Question For a reaction of the type, $$2 \mathrm{X}+\mathrm{Y} \rightarrow \mathrm{A}+\mathrm{B}$$, the following is the data col

View Question Select the strongest base from the given compounds:
[A] p- $$\mathrm{NO}_2-\mathrm{C}_6 \mathrm{H}_4 \mathrm{NH}_2$$
[B]

View Question The conversion of Propyne to Benzene can be brought out in 4 steps.
Choose the reagents to be used, in the proper sequen

View Question Para and ortho hydrogen differ in:

View Question What is the mole fraction of solute in a $$5 \mathrm{~m}$$ aqueous solution?

View Question Identify the reagents $$\mathrm{X}, \mathrm{Y}$$ and $$\mathrm{Z}$$ used to bring out the following reactions.

View Question Choose the incorrect statement.

View Question A proton having mass equal to $$1.66 \times 10^{-27} \mathrm{~kg}$$ is accelerated to one tenth of the velocity of light

View Question Match the details given in Column I with those given in Column II
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View Question Match the items in Column I with their description in Column II
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View Question Choose the incorrect statement.

View Question When Lead Storage battery is in the process of getting charged which one of the following reactions takes place?

View Question The group number of the element in the periodic table with the electronic configuration $$(\mathrm{n}-1) \mathrm{d}^2 \m

View Question Identify the final product formed during the course of the given reactions.
Pentan-2-one $$\xrightarrow{\mathrm{NaCN} /

View Question Which one of the following will give a positive result when it is warmed with Chloroform and alcoholic solution of $$\ma

View Question Choose the incorrect statement:

View Question What would be the products obtained when a mixture of p-Methoxy benzaldehyde and Methanal are heated with $$50 \%$$ conc

View Question Which of the following will show geometrical isomerism?

View Question Identify the compounds A, B, C and D.
$$
\text { 1,2,2,2-tetrachloroethane } \xrightarrow[\Delta]{\mathrm{Zn}}[\mathrm{A

View Question Match the Coordination compounds given in Column I with their characteristic features listed in Column II.
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View Question Choose the correct order of increasing acidic strength of the following compounds.

View Question $$\mathrm{Mg}(\mathrm{OH})_2$$ is used as an antacid. If a person, suffering from acidity, produces $$2.5 \mathrm{~L}$$

View Question Given below are graphs showing the variation in velocity constant with temperature on Kelvin scale. Identify the graph w

View Question Identify the correct statement describing the characteristics of $$\mathrm{C}_2$$ molecule.

View Question One among the 4 Vitamins belonging to $$\mathrm{B}$$ Complex, can be stored in our body. Identify the Vitamin.

View Question Which one of the following statements is correct?

View Question In the given Redox equation, identify the stoichiometric coefficients $$\mathrm{w}, \mathrm{x}, \mathrm{y}$$ and $$\math

View Question In the following question, Assertion (A) is given followed by a statement of Reason (R). Choose the correct answer.
Asse

View Question Structures of 3 Monosaccharides are given below. Two of them are Anomers. Identify the two Anomers.

View Question Which one of the following is an incorrect statement pertaining to the properties of Coordination compounds?

View Question $$\mathrm{X}$$ is an electrolyte with a concentration of $$0.04 \mathrm{M}$$ whose formula is of the type $$\mathrm{X}_2

View Question Identify the catalyst used in the reaction between Iodide and persulphate ions.
$$2 \mathrm{I}^{-}+\mathrm{S}_2 \mathrm{

View Question Find the correct matches of the substances, given in Column I, from their characteristic properties given in Column II.

View Question A Gas taken in a closed vessel is heated from $$54^{\circ} \mathrm{C}$$ to $$1254^{\circ} \mathrm{C}$$. The pressure of

View Question Which one of the following correctly represents the decreasing order of acidic nature of the given carboxylic acids:
[A]

View Question If the depression in freezing point of an aqueous solution containing a solute, which is neither dissociated nor associa

View Question The rate constant for a First order reaction at $$560 \mathrm{~K}$$ is $$1.5 \times 10^{-6}$$ per second. If the reactio

View Question What would be the final product [$$\mathbf{X}$$] formed when p-Toluidine undergoes the following series of reactions?
$$

View Question The energy of an electron in the ground state of Hydrogen atom is $$-2.18 \times 10^{-18} \mathrm{~J}$$. What would be t

View Question Identify the incorrect statement.

View Question Choose the incorrect statement regarding Cellulose.

View Question Which one of the following Coordination entities exhibits Facial and Meridional isomerism?

View Question Arrange the following in the decreasing order of their Dipole moments.
a. Chlorobenzene
b. 1,2-Dichlorobenzene
c. 1,3-Di

View Question The reactions taking place with $$\mathrm{2- Phenyl-2-bromopropane}$$ as the starting material is shown below. Identify

View Question The reaction taking place in a galvanic cell is as given
$$\mathrm{A}(\mathrm{s})+\mathrm{B}^{2+}\left(\mathbf{1} \mathb

View Question Which one of the following will undergo Nucleophilic substitution, by $$\mathrm{S}_{\mathrm{N}}{ }^1$$ mechanism, fastes

View Question ## Mathematics

The particular solution of $$e^{\frac{d y}{d x}}=2 x+1$$ given that $$y=1$$ when $$x=0$$ is

View Question $$
\text { If } A=\left(\begin{array}{ll}
1 & 2 \\
0 & 1
\end{array}\right) \quad P=\left(\begin{array}{cc}
\cos \theta

View Question $$A$$ and $$B$$ are invertible matrices of the same order such that $$\left|(A B)^{-1}\right|=8$$ if $$|A|=2$$ then $$|B

View Question The centre of the circle passing through $$(0,0)$$ and $$(1,0)$$ and touching the circle $$x^2+y^2=9$$ is

View Question If the direction ratios of two lines are given by $$3 l m-4 l n+m n=0$$ and $$l+2 m+3 n=0$$, then the angle between the

View Question Which of the following is a singleton set?

View Question If the conjugate of $$(x+i y)(1-2 i)$$ be $$1+i$$, then

View Question If the length of the major axis of an ellipse is 3 times the length of the minor axis, then its eccentricity is

View Question A die is thrown twice and the sum of numbers appearing is observed to be 8 . What is the conditional probability that th

View Question $$\int x^x(1+\log x) d x$$ is equal to

View Question The minimum value of $$Z=3 x+5 y$$, given subject to the constraints $$x+y \geq 2, x+3 y \geq 3, x, y \geq 0$$ is

View Question $$
\lim _\limits{x \rightarrow 0} \frac{a^x-b^x}{x} \text { is equal to }
$$

View Question The coordinates of the vertices of the triangle are $$A(-2,3,6), B(-4,4,9)$$ and $$C(0,5,8)$$. The direction cosines of

View Question How many factors of $$2^5 \times 3^6 \times 5^2$$ are perfect squares?

View Question The general solution of the differential equation $$\left(1+y^2\right) d x=\left(\tan ^{-1} y-x\right) d y$$

View Question The function $$f(x)=\frac{x}{2}+\frac{2}{x}$$ has a local minimum at

View Question The scalar components of a unit vector which is perpendicular to each of the vectors $$\hat{\imath}+2 \hat{\jmath}-\hat{

View Question A candidate is required to answer 7 questions out of 12 questions which are divided into two groups each containing 6 qu

View Question $$
\int \sqrt{\operatorname{cosec} x-1} d x=
$$

View Question $$
\int_0^2\left|x^2+2 x-3\right| d x \text { is equal to }
$$

View Question Bag A contains 3 white and 2 red balls. Bag B contains only 1 white ball. A fair coin is tossed. If head appears then 1

View Question Let $$X$$ and $$Y$$ be the set of all positive divisors of 400 and 1000 respectively (including 1 and the number). Then

View Question In a 12 storey house, 10 people enter a lift cabin. It is known that they will leave the lift in pre-decided groups of 2

View Question If three numbers $$a, b, c$$ constitute both an A.P and G.P, then

View Question $$
\cos ^6 A-\sin ^6 A \text { is equal to }
$$

View Question The distance between the foci of a hyperbola is 16 and its eccentricity is $$\sqrt{2}$$. Then its equation is

View Question The ratio in which the line $$3 x+4 y+2=0$$ divides the distance between the lines $$3 x+4 y+5=0$$ and $$3 x+4 y-5=0$$ i

View Question If $$2 A+3 B=\left[\begin{array}{ccc}2 & -1 & 4 \\ 3 & 2 & 5\end{array}\right]$$ and $$A+2 B=\left[\begin{array}{lll}5 &

View Question $$
\text { If } \operatorname{cosec}(90+A)+x \cos A \cot (90+A)=\sin (90+A) \text { then the value of } x \text { is }
$

View Question $$
\mathrm{P} \text { is a point on the line segment joining the points }(3,2,-1) \text { and }(6,2,-2) \text {. If the

View Question The area of the upper half of the circle whose equation is $$(x-1)^2+y^2=1$$ is given by

View Question In the set $$\mathrm{W}$$ of whole numbers an equivalence relation $$\mathrm{R}$$ is defined as follows $$\mathrm{aRb}$$

View Question $$
\text { If } P(B)=\frac{3}{5} \quad P(A / B)=\frac{1}{2} \text { and } P(A \cup B)=\frac{4}{5} \text { then } P(A \cu

View Question $$
\text { The function defined by } f(x)=\left\{\begin{array}{cc}
\frac{\sin x}{x}+\cos x & x>0 \\
-5 k & x=0 \\
\frac{

View Question $$
f(x)=2 x-\tan ^{-1} x-\log (x+\sqrt{x^2+1}) \text { is monotonically increasing, when }
$$

View Question Consider the first 10 natural numbers. If we multiply each number by $$-$$1 and add 1 to each number, the variance of th

View Question A triangular park is enclosed on two sides by a fence and on the third side by a straight river bank. The two sides havi

View Question $$
\text { Let } f(x)=\cos ^{-1}(3 x-1) \text {, then domain of } f(x) \text { is equal to }
$$

View Question The solution of the differential equation $$\frac{d y}{d x}+y \cos x=\frac{1}{2} \sin 2 x$$

View Question The area bounded by the curve $$y^2=4 a^2(x-1)$$ and the lines $$x=1, y=4 a$$ is

View Question $$
\text { If } f(x)=\sin ^{-1}\left(\frac{2^{x+1}}{1+4^x}\right) \text { then } f^{\prime}(0) \text { is equal to }
$$

View Question If $$\left[\begin{array}{ccc}2+x & 3 & 4 \\ 1 & -1 & 2 \\ x & 1 & -5\end{array}\right]$$ is a singular matrix, then $$x$

View Question The sum of the degree and order of the following differential equation $$\left[1-\left(\frac{d y}{d x}\right)^2\right]^{

View Question If $$f(x)=\frac{(x+1)^7 \sqrt{1+x^2}}{\left(x^2-x+1\right)^6}$$ then the value of $$f^{\prime}(0)$$ is equal to

View Question Solution of $$x-y+z=4 ; x-2 y+2 z=9$$ and $$2 x+y+3 z=1$$ is

View Question If $$\cos \alpha=k \cos \beta$$ then $$\cot \left(\frac{\alpha+\beta}{2}\right)$$ is equal to

View Question $$
\int e^x\left(1+\tan x+\tan ^2 x\right) d x \text { is equal to }
$$

View Question In a $$\triangle A B C$$, if coordinates of point $$A$$ is $$(1,2)$$ and equation of the medians through $$B$$ and $$C$$

View Question The distance of the point $$(2,3,4)$$ from the line $$1-x=\frac{y}{2}=\frac{1}{3}(1+z)$$ is

View Question The altitude of a cone is $$20 \mathrm{~cm}$$ and its semi vertical angle is $$30^{\circ}$$. If the semi vertical angle

View Question If the position vector of a point $$A$$ is $$\vec{a}+2 \vec{b}$$ and $$\vec{a}$$ divides $$A B$$ in the ratio $$2: 3$$,

View Question $$
\text { The value of } \sin ^{-1}\left[\cos \left(39 \frac{\pi}{5}\right)\right] \text { is }
$$

View Question The probability distribution of a discrete random variable X is given as
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View Question 18 Points are indicated on the perimeter of a triangle $$\mathrm{ABC}$$ as shown below. If three points are chosen then

View Question $$
\text { If } \vec{a} \text { and } \vec{b} \text { are unit vectors, then the angle between } \vec{a} \text { and } \

View Question If the volume of a sphere is increasing at a constant rate, then the rate at which its radius is increasing is

View Question What can be said regarding a line if its slope is negative?

View Question The range of $$x$$ which satisfy the inequation : $$-5 \leq \frac{2-3 x}{4} \leq 9$$ is

View Question $$
\int \frac{\cos 4 x+1}{\cot x-\tan x} d x=
$$

View Question Le $$x$$ be the arithmetic mean and $$y, z$$ be the two geometric means between any two positive numbers, then $$\frac{y

View Question ## Physics

A man grows into a giant such that his height increases to 8 times his original height. Assuming that his density remain

View Question The mass number of two nuclei $$\mathrm{P}$$ and $$\mathrm{Q}$$ are 27 and 125 respectively. The ratio of their radii $$

View Question The current sensitivity of a galvanometer having 20 divisions is $$10 \mu \mathrm{A} /$$ div. If the resistance of the g

View Question In a nuclear reaction 2 deuteron nuclei combine to form a helium nucleus. The energy released in $$\mathrm{MeV}$$ will b

View Question Two point charges $$20 \mu \mathrm{C}$$ and $$-10 \mu \mathrm{C}$$ are separated by a distance of $$1 \mathrm{~m}$$ in a

View Question The critical angle of a medium having the refractive index $$\sqrt2$$ is :

View Question A spherical metal ball of density '$$\rho$$' and radius '$$r$$' is immersed in a liquid of density '$$\sigma$$'. When an

View Question In an adiabatic expansion of air, the volume is increased by $$6.2 \%$$. The percentage change in pressure is $$(\gamma=

View Question Water from a tap of cross-sectional area $$1 \mathrm{~cm}^2$$, falls vertically downwards at $$2 \mathrm{~m} / \mathrm{s

View Question
In the figure, first the capacitors are fully charged by closing the key $$\mathrm{K}$$. Then after opening the Key a d

View Question The energy gap between valance band and the conduction band for a given material is $$6 \mathrm{~eV}$$, then the materia

View Question PQRS is square of side $$1 \mathrm{~m}$$. A charge of $$100 \mu \mathrm{C}$$ is placed at the centre of the square. Then

View Question When angle of incidence on one face of the equilateral glass prism is $$3 / 4^{\text {th }}$$ of the angle of prism, the

View Question If the ratio of specific heat of a gas at constant pressure to that at constant volume is $$\gamma$$, the change in inte

View Question A magnetic field does not interact with:

View Question A person has a normal near point $$25 \mathrm{~cm}$$. What is the magnifying power of the simple microscope he used, if

View Question If reaction is $$\mathrm{R}$$ and coefficient of friction is $$\mu$$, what is work done against friction in moving a bod

View Question The electric flux from cube of side $$1 \mathrm{~m}$$ is '$$\Phi$$' When the side of the cube is made $$3 \mathrm{~m}$$

View Question An uniform sphere of mass $$M$$ and radius $$R$$ exerts a force of $$F$$ on a small mass $$m$$ placed at a distance of 3

View Question The magnetic permeability '$$\mu$$' a of a paramagnetic substance is :

View Question A lens of power $$+1 \mathrm{D}$$ is made in contact with another lens of power $$-2 \mathrm{D}$$ the combination will t

View Question A particle at rest decays in to two particles of mass $$m_1$$ and $$m_2$$ and move with velocities $$v_1$$ and $$v_2$$.

View Question An electron and a proton having mass $$m_e$$ and $$m_p$$ respectively, initially at rest, move through the same distance

View Question $$220 \mathrm{~V}$$ ac is more dangerous than $$220 \mathrm{~V}$$ dc Why?

View Question The ground state energy of hydrogen atom is $$-13.6 \mathrm{~eV}$$. If the electron jumps from the $$3^{\text {rd }}$$ e

View Question In the young's double slit experiment the fringe width of the interference pattern is found to be $$3.2 \times 10^{-4} \

View Question What will be change in wave length, if a light of wave length $$600 \mathrm{~nm}$$ travels from air enters a medium of r

View Question A resistor of wire $$24 \mathrm{~cm}$$ length and resistance $$8 \Omega$$ is stretched in to a uniform wire of $$48 \mat

View Question A metallic rod of $$10 \mathrm{~cm}$$ is rotated with a frequency 100 revolution per second about an axis perpendicular

View Question Two open organ pipes A and B of length $$22 \mathrm{~cm}$$ and $$22.5 \mathrm{~cm}$$ respectively produce 2 beats per se

View Question The time dependence of a physical quantity P is give by $$\mathrm{P=P}_0 \exp \left(-\alpha t^2\right)$$ where $$\alpha$

View Question The molecules of a given mass of a gas have root mean square speed of $$120 \mathrm{~m} / \mathrm{s}$$ at $$88^{\circ} \

View Question The acceleration due to gravity at a height of $$7 \mathrm{~km}$$ above the earth is the same as at a depth d below the

View Question A tentative explanation of observations without assuming that it is true is called

View Question Find the pole strength of a magnet of length $$2 \mathrm{~cm}$$, if the magnetic field strength $B$ at distance $$10 \ma

View Question In the head-on collision of two alpha particles $$\alpha_1$$ and $$\alpha_2$$ with the gold nucleus, the closest approac

View Question Two black bodies $$\mathrm{P}$$ and $$\mathrm{Q}$$ have equal surface areas and are kept at temperatures $$127^{\circ} \

View Question The SI unit of electrical conductivity is :

View Question What should be the inductance of an inductor connected to $$200 \mathrm{~V}, 50 \mathrm{~Hz}$$ source so that the maximu

View Question The nucleus of a helium atom travels along the inside of a straight hollow tube $$4 \mathrm{~m}$$ long which forms part

View Question In the given circuit the diode $$D_1$$ and $$D_2$$ have the forward resistance $$25 \Omega$$ and infinite backward resis

View Question The radius of the current carrying circular coil is doubled keeping the current passing through it the same. Then the ra

View Question If the resultant of all external forces acting on a system of particles is zero, then from an inertial frame one can sur

View Question The reverse current in the semiconductor diode changes from $$20 \mu \mathrm{A}$$ to $$40 \mu \mathrm{A}$$ when the reve

View Question A drone is flying due west, a little above the train, with a speed of $$10 \mathrm{~m} / \mathrm{s}$$. A 270 meter long

View Question $$\mathrm{F}_{\mathrm{A}}, \mathrm{F}_{\mathrm{B}}$$ and $$\mathrm{F}_{\mathrm{C}}$$ are three forces acting at point $$

View Question A wheel is free to rotate about a horizontal axis through O. A force of $$200 \mathrm{~N}$$ is applied at a point $$\mat

View Question A hockey player hits the ball at an angle of $$37^{\circ}$$ from the horizontal with an initial speed of $$40 \mathrm{~m

View Question What feature of the infrared waves make it useful for the haze photography?

View Question A spring of force constant $$k$$ is cut into lengths of ratio $$1:3:4$$. They are connected in series and the new force

View Question A light having wavelength $$6400^{\circ} \mathrm{A}$$ is incident normally on a slit of width $$2 \mathrm{~mm}$$. Then t

View Question Which of the following statement is true when a gamma decay occurs from the nucleus of an atom?

View Question The current passing through the 100$$\Omega$$ resistor in the given electrical circuit is :

View Question The force between two electric point charges at rest in air is $$F_1$$ When the same arrangement is kept inside water, t

View Question A neutron makes a head on elastic collision with a lead nucleus. The ratio of nuclear mass to neutron mass is 206 . The

View Question A battery is made of 12 cells having emf $$5 \mathrm{~V}$$ each. If three cells are unknowingly connected wrong, the res

View Question A circular loop of area $$0.04 \mathrm{~m}^2$$ carrying a current of $$10 \mathrm{~A}$$ is held with its plane perpendic

View Question In the photoelectric experiment, the frequency of the incident radiation is doubled. What will be its effect on the phot

View Question One volt induced emf is produced in the secondary coil when the current through the primary coil is changed from $$3 \ma

View Question The current drawn by the primary coil of an ideal transformer, which steps up $$22 \mathrm{~V}$$ into $$220 \mathrm{~V}$

View Question