COMEDK 2023 Evening Shift
Paper was held on Sun, May 28, 2023 4:30 AM
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Chemistry

Identify the starting compound from the following data: $$\mathrm{C}_6 \mathrm{H}_{14} \mathrm{O}(\mathrm{X})$$ on react
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$$5.8 \mathrm{~g}$$ of a gas maintained at $$95^{\circ} \mathrm{C}$$ occupies the same volume as $$0.368 \mathrm{~g}$$ o
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A first order reaction proceeds to $$90 \%$$ completion. What will be the approximate time taken for $$90 \%$$ completio
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What would be the volume of water required to dissolve $$0.2 \mathrm{~g}$$ of $$\mathrm{PbCl}_2$$ of molar mass $$278 \m
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Which one of the following compounds would not undergo Aldol condensation?
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Match the following characteristics of transition metals given in Column I with the examples listed in Column II .tg {
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Gaseous Nitrous oxide decomposes at $$298 \mathrm{~K}$$ to form Nitrogen gas and Oxygen gas. The $$\Delta \mathbf{H}$$ f
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In neutral medium $$\mathrm{KMnO}_4$$ oxidises $$\mathrm{MnSO}_4$$ to _________
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What would be the van't Hoff factor for a solution prepared by dissolving $$3.42 \mathrm{~g}$$ of $$\mathrm{CaCl}_2$$ in
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The Molar conductivity of $$0.05 \mathrm{M}$$ solution of $$\mathrm{MgCl}_2$$ is $$194.5 \mathrm{~ohm}^{-1} \mathrm{~cm}
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The equilibrium constants for the reactions $$a, b$$, and $$c$$ are as given: a) $$\mathrm{N}_2+3 \mathrm{H}_2=2 \mathrm
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Identify the correct IUPAC name of $$[\mathrm{CoCl}_2(\mathrm{NO}_2)(\mathrm{NH}_3)_3]$$
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From among the following, identify the compound which forms two moles of a ketone on ozonolysis. [A] 2,3-Dimethylbutane.
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If electrolysis of water is carried out for a time duration of 2 hours, how much electric current in amperes would be re
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For a reaction of the type, $$2 \mathrm{X}+\mathrm{Y} \rightarrow \mathrm{A}+\mathrm{B}$$, the following is the data col
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Select the strongest base from the given compounds: [A] p- $$\mathrm{NO}_2-\mathrm{C}_6 \mathrm{H}_4 \mathrm{NH}_2$$ [B]
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The conversion of Propyne to Benzene can be brought out in 4 steps. Choose the reagents to be used, in the proper sequen
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Para and ortho hydrogen differ in:
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What is the mole fraction of solute in a $$5 \mathrm{~m}$$ aqueous solution?
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Identify the reagents $$\mathrm{X}, \mathrm{Y}$$ and $$\mathrm{Z}$$ used to bring out the following reactions.
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Choose the incorrect statement.
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A proton having mass equal to $$1.66 \times 10^{-27} \mathrm{~kg}$$ is accelerated to one tenth of the velocity of light
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Match the details given in Column I with those given in Column II .tg {border-collapse:collapse;border-spacing:0;} .tg
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Match the items in Column I with their description in Column II .tg {border-collapse:collapse;border-spacing:0;} .tg t
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Choose the incorrect statement.
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When Lead Storage battery is in the process of getting charged which one of the following reactions takes place?
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The group number of the element in the periodic table with the electronic configuration $$(\mathrm{n}-1) \mathrm{d}^2 \m
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Identify the final product formed during the course of the given reactions. Pentan-2-one $$\xrightarrow{\mathrm{NaCN} /
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Which one of the following will give a positive result when it is warmed with Chloroform and alcoholic solution of $$\ma
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Choose the incorrect statement:
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What would be the products obtained when a mixture of p-Methoxy benzaldehyde and Methanal are heated with $$50 \%$$ conc
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Which of the following will show geometrical isomerism?
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Identify the compounds A, B, C and D. $$ \text { 1,2,2,2-tetrachloroethane } \xrightarrow[\Delta]{\mathrm{Zn}}[\mathrm{A
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Match the Coordination compounds given in Column I with their characteristic features listed in Column II. .tg {border
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Choose the correct order of increasing acidic strength of the following compounds.
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$$\mathrm{Mg}(\mathrm{OH})_2$$ is used as an antacid. If a person, suffering from acidity, produces $$2.5 \mathrm{~L}$$
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Given below are graphs showing the variation in velocity constant with temperature on Kelvin scale. Identify the graph w
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Identify the correct statement describing the characteristics of $$\mathrm{C}_2$$ molecule.
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One among the 4 Vitamins belonging to $$\mathrm{B}$$ Complex, can be stored in our body. Identify the Vitamin.
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Which one of the following statements is correct?
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In the given Redox equation, identify the stoichiometric coefficients $$\mathrm{w}, \mathrm{x}, \mathrm{y}$$ and $$\math
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In the following question, Assertion (A) is given followed by a statement of Reason (R). Choose the correct answer. Asse
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Structures of 3 Monosaccharides are given below. Two of them are Anomers. Identify the two Anomers.
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Which one of the following is an incorrect statement pertaining to the properties of Coordination compounds?
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$$\mathrm{X}$$ is an electrolyte with a concentration of $$0.04 \mathrm{M}$$ whose formula is of the type $$\mathrm{X}_2
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Identify the catalyst used in the reaction between Iodide and persulphate ions. $$2 \mathrm{I}^{-}+\mathrm{S}_2 \mathrm{
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Find the correct matches of the substances, given in Column I, from their characteristic properties given in Column II.
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A Gas taken in a closed vessel is heated from $$54^{\circ} \mathrm{C}$$ to $$1254^{\circ} \mathrm{C}$$. The pressure of
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Which one of the following correctly represents the decreasing order of acidic nature of the given carboxylic acids: [A]
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If the depression in freezing point of an aqueous solution containing a solute, which is neither dissociated nor associa
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The rate constant for a First order reaction at $$560 \mathrm{~K}$$ is $$1.5 \times 10^{-6}$$ per second. If the reactio
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What would be the final product [$$\mathbf{X}$$] formed when p-Toluidine undergoes the following series of reactions? $$
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The energy of an electron in the ground state of Hydrogen atom is $$-2.18 \times 10^{-18} \mathrm{~J}$$. What would be t
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Identify the incorrect statement.
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Choose the incorrect statement regarding Cellulose.
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Which one of the following Coordination entities exhibits Facial and Meridional isomerism?
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Arrange the following in the decreasing order of their Dipole moments. a. Chlorobenzene b. 1,2-Dichlorobenzene c. 1,3-Di
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The reactions taking place with $$\mathrm{2- Phenyl-2-bromopropane}$$ as the starting material is shown below. Identify
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The reaction taking place in a galvanic cell is as given $$\mathrm{A}(\mathrm{s})+\mathrm{B}^{2+}\left(\mathbf{1} \mathb
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Which one of the following will undergo Nucleophilic substitution, by $$\mathrm{S}_{\mathrm{N}}{ }^1$$ mechanism, fastes
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Mathematics

The particular solution of $$e^{\frac{d y}{d x}}=2 x+1$$ given that $$y=1$$ when $$x=0$$ is
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$$ \text { If } A=\left(\begin{array}{ll} 1 & 2 \\ 0 & 1 \end{array}\right) \quad P=\left(\begin{array}{cc} \cos \theta
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$$A$$ and $$B$$ are invertible matrices of the same order such that $$\left|(A B)^{-1}\right|=8$$ if $$|A|=2$$ then $$|B
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The centre of the circle passing through $$(0,0)$$ and $$(1,0)$$ and touching the circle $$x^2+y^2=9$$ is
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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
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Which of the following is a singleton set?
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If the conjugate of $$(x+i y)(1-2 i)$$ be $$1+i$$, then
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If the length of the major axis of an ellipse is 3 times the length of the minor axis, then its eccentricity is
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A die is thrown twice and the sum of numbers appearing is observed to be 8 . What is the conditional probability that th
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$$\int x^x(1+\log x) d x$$ is equal to
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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
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$$ \lim _\limits{x \rightarrow 0} \frac{a^x-b^x}{x} \text { is equal to } $$
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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
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How many factors of $$2^5 \times 3^6 \times 5^2$$ are perfect squares?
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The general solution of the differential equation $$\left(1+y^2\right) d x=\left(\tan ^{-1} y-x\right) d y$$
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The function $$f(x)=\frac{x}{2}+\frac{2}{x}$$ has a local minimum at
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The scalar components of a unit vector which is perpendicular to each of the vectors $$\hat{\imath}+2 \hat{\jmath}-\hat{
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A candidate is required to answer 7 questions out of 12 questions which are divided into two groups each containing 6 qu
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$$ \int \sqrt{\operatorname{cosec} x-1} d x= $$
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$$ \int_0^2\left|x^2+2 x-3\right| d x \text { is equal to } $$
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Bag A contains 3 white and 2 red balls. Bag B contains only 1 white ball. A fair coin is tossed. If head appears then 1
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Let $$X$$ and $$Y$$ be the set of all positive divisors of 400 and 1000 respectively (including 1 and the number). Then
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In a 12 storey house, 10 people enter a lift cabin. It is known that they will leave the lift in pre-decided groups of 2
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If three numbers $$a, b, c$$ constitute both an A.P and G.P, then
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$$ \cos ^6 A-\sin ^6 A \text { is equal to } $$
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The distance between the foci of a hyperbola is 16 and its eccentricity is $$\sqrt{2}$$. Then its equation is
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The ratio in which the line $$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$$ i
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If $$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 &
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$$ \text { If } \operatorname{cosec}(90+A)+x \cos A \cot (90+A)=\sin (90+A) \text { then the value of } x \text { is } $
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$$ \mathrm{P} \text { is a point on the line segment joining the points }(3,2,-1) \text { and }(6,2,-2) \text {. If the
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The area of the upper half of the circle whose equation is $$(x-1)^2+y^2=1$$ is given by
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In the set $$\mathrm{W}$$ of whole numbers an equivalence relation $$\mathrm{R}$$ is defined as follows $$\mathrm{aRb}$$
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$$ \text { If } P(B)=\frac{3}{5} \quad P(A / B)=\frac{1}{2} \text { and } P(A \cup B)=\frac{4}{5} \text { then } P(A \cu
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$$ \text { The function defined by } f(x)=\left\{\begin{array}{cc} \frac{\sin x}{x}+\cos x & x>0 \\ -5 k & x=0 \\ \frac{
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$$ f(x)=2 x-\tan ^{-1} x-\log (x+\sqrt{x^2+1}) \text { is monotonically increasing, when } $$
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Consider the first 10 natural numbers. If we multiply each number by $$-$$1 and add 1 to each number, the variance of th
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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
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$$ \text { Let } f(x)=\cos ^{-1}(3 x-1) \text {, then domain of } f(x) \text { is equal to } $$
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The solution of the differential equation $$\frac{d y}{d x}+y \cos x=\frac{1}{2} \sin 2 x$$
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The area bounded by the curve $$y^2=4 a^2(x-1)$$ and the lines $$x=1, y=4 a$$ is
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$$ \text { If } f(x)=\sin ^{-1}\left(\frac{2^{x+1}}{1+4^x}\right) \text { then } f^{\prime}(0) \text { is equal to } $$
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If $$\left[\begin{array}{ccc}2+x & 3 & 4 \\ 1 & -1 & 2 \\ x & 1 & -5\end{array}\right]$$ is a singular matrix, then $$x$
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The sum of the degree and order of the following differential equation $$\left[1-\left(\frac{d y}{d x}\right)^2\right]^{
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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
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Solution of $$x-y+z=4 ; x-2 y+2 z=9$$ and $$2 x+y+3 z=1$$ is
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If $$\cos \alpha=k \cos \beta$$ then $$\cot \left(\frac{\alpha+\beta}{2}\right)$$ is equal to
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$$ \int e^x\left(1+\tan x+\tan ^2 x\right) d x \text { is equal to } $$
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In a $$\triangle A B C$$, if coordinates of point $$A$$ is $$(1,2)$$ and equation of the medians through $$B$$ and $$C$$
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The distance of the point $$(2,3,4)$$ from the line $$1-x=\frac{y}{2}=\frac{1}{3}(1+z)$$ is
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The altitude of a cone is $$20 \mathrm{~cm}$$ and its semi vertical angle is $$30^{\circ}$$. If the semi vertical angle
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If the position vector of a point $$A$$ is $$\vec{a}+2 \vec{b}$$ and $$\vec{a}$$ divides $$A B$$ in the ratio $$2: 3$$,
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$$ \text { The value of } \sin ^{-1}\left[\cos \left(39 \frac{\pi}{5}\right)\right] \text { is } $$
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The probability distribution of a discrete random variable X is given as .tg {border-collapse:collapse;border-spacing:
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18 Points are indicated on the perimeter of a triangle $$\mathrm{ABC}$$ as shown below. If three points are chosen then
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$$ \text { If } \vec{a} \text { and } \vec{b} \text { are unit vectors, then the angle between } \vec{a} \text { and } \
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If the volume of a sphere is increasing at a constant rate, then the rate at which its radius is increasing is
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What can be said regarding a line if its slope is negative?
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The range of $$x$$ which satisfy the inequation : $$-5 \leq \frac{2-3 x}{4} \leq 9$$ is
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$$ \int \frac{\cos 4 x+1}{\cot x-\tan x} d x= $$
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Le $$x$$ be the arithmetic mean and $$y, z$$ be the two geometric means between any two positive numbers, then $$\frac{y
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Physics

A man grows into a giant such that his height increases to 8 times his original height. Assuming that his density remain
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The mass number of two nuclei $$\mathrm{P}$$ and $$\mathrm{Q}$$ are 27 and 125 respectively. The ratio of their radii $$
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The current sensitivity of a galvanometer having 20 divisions is $$10 \mu \mathrm{A} /$$ div. If the resistance of the g
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In a nuclear reaction 2 deuteron nuclei combine to form a helium nucleus. The energy released in $$\mathrm{MeV}$$ will b
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Two point charges $$20 \mu \mathrm{C}$$ and $$-10 \mu \mathrm{C}$$ are separated by a distance of $$1 \mathrm{~m}$$ in a
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The critical angle of a medium having the refractive index $$\sqrt2$$ is :
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A spherical metal ball of density '$$\rho$$' and radius '$$r$$' is immersed in a liquid of density '$$\sigma$$'. When an
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In an adiabatic expansion of air, the volume is increased by $$6.2 \%$$. The percentage change in pressure is $$(\gamma=
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Water from a tap of cross-sectional area $$1 \mathrm{~cm}^2$$, falls vertically downwards at $$2 \mathrm{~m} / \mathrm{s
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In the figure, first the capacitors are fully charged by closing the key $$\mathrm{K}$$. Then after opening the Key a d
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The energy gap between valance band and the conduction band for a given material is $$6 \mathrm{~eV}$$, then the materia
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PQRS is square of side $$1 \mathrm{~m}$$. A charge of $$100 \mu \mathrm{C}$$ is placed at the centre of the square. Then
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When angle of incidence on one face of the equilateral glass prism is $$3 / 4^{\text {th }}$$ of the angle of prism, the
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If the ratio of specific heat of a gas at constant pressure to that at constant volume is $$\gamma$$, the change in inte
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A magnetic field does not interact with:
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A person has a normal near point $$25 \mathrm{~cm}$$. What is the magnifying power of the simple microscope he used, if
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If reaction is $$\mathrm{R}$$ and coefficient of friction is $$\mu$$, what is work done against friction in moving a bod
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The electric flux from cube of side $$1 \mathrm{~m}$$ is '$$\Phi$$' When the side of the cube is made $$3 \mathrm{~m}$$
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An uniform sphere of mass $$M$$ and radius $$R$$ exerts a force of $$F$$ on a small mass $$m$$ placed at a distance of 3
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The magnetic permeability '$$\mu$$' a of a paramagnetic substance is :
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A lens of power $$+1 \mathrm{D}$$ is made in contact with another lens of power $$-2 \mathrm{D}$$ the combination will t
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A particle at rest decays in to two particles of mass $$m_1$$ and $$m_2$$ and move with velocities $$v_1$$ and $$v_2$$.
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An electron and a proton having mass $$m_e$$ and $$m_p$$ respectively, initially at rest, move through the same distance
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$$220 \mathrm{~V}$$ ac is more dangerous than $$220 \mathrm{~V}$$ dc Why?
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The ground state energy of hydrogen atom is $$-13.6 \mathrm{~eV}$$. If the electron jumps from the $$3^{\text {rd }}$$ e
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In the young's double slit experiment the fringe width of the interference pattern is found to be $$3.2 \times 10^{-4} \
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What will be change in wave length, if a light of wave length $$600 \mathrm{~nm}$$ travels from air enters a medium of r
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A resistor of wire $$24 \mathrm{~cm}$$ length and resistance $$8 \Omega$$ is stretched in to a uniform wire of $$48 \mat
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A metallic rod of $$10 \mathrm{~cm}$$ is rotated with a frequency 100 revolution per second about an axis perpendicular
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Two open organ pipes A and B of length $$22 \mathrm{~cm}$$ and $$22.5 \mathrm{~cm}$$ respectively produce 2 beats per se
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The time dependence of a physical quantity P is give by $$\mathrm{P=P}_0 \exp \left(-\alpha t^2\right)$$ where $$\alpha$
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The molecules of a given mass of a gas have root mean square speed of $$120 \mathrm{~m} / \mathrm{s}$$ at $$88^{\circ} \
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The acceleration due to gravity at a height of $$7 \mathrm{~km}$$ above the earth is the same as at a depth d below the
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A tentative explanation of observations without assuming that it is true is called
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Find the pole strength of a magnet of length $$2 \mathrm{~cm}$$, if the magnetic field strength $B$ at distance $$10 \ma
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In the head-on collision of two alpha particles $$\alpha_1$$ and $$\alpha_2$$ with the gold nucleus, the closest approac
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Two black bodies $$\mathrm{P}$$ and $$\mathrm{Q}$$ have equal surface areas and are kept at temperatures $$127^{\circ} \
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The SI unit of electrical conductivity is :
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What should be the inductance of an inductor connected to $$200 \mathrm{~V}, 50 \mathrm{~Hz}$$ source so that the maximu
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The nucleus of a helium atom travels along the inside of a straight hollow tube $$4 \mathrm{~m}$$ long which forms part
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In the given circuit the diode $$D_1$$ and $$D_2$$ have the forward resistance $$25 \Omega$$ and infinite backward resis
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The radius of the current carrying circular coil is doubled keeping the current passing through it the same. Then the ra
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If the resultant of all external forces acting on a system of particles is zero, then from an inertial frame one can sur
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The reverse current in the semiconductor diode changes from $$20 \mu \mathrm{A}$$ to $$40 \mu \mathrm{A}$$ when the reve
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A drone is flying due west, a little above the train, with a speed of $$10 \mathrm{~m} / \mathrm{s}$$. A 270 meter long
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$$\mathrm{F}_{\mathrm{A}}, \mathrm{F}_{\mathrm{B}}$$ and $$\mathrm{F}_{\mathrm{C}}$$ are three forces acting at point $$
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A wheel is free to rotate about a horizontal axis through O. A force of $$200 \mathrm{~N}$$ is applied at a point $$\mat
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A hockey player hits the ball at an angle of $$37^{\circ}$$ from the horizontal with an initial speed of $$40 \mathrm{~m
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What feature of the infrared waves make it useful for the haze photography?
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A spring of force constant $$k$$ is cut into lengths of ratio $$1:3:4$$. They are connected in series and the new force
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A light having wavelength $$6400^{\circ} \mathrm{A}$$ is incident normally on a slit of width $$2 \mathrm{~mm}$$. Then t
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Which of the following statement is true when a gamma decay occurs from the nucleus of an atom?
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The current passing through the 100$$\Omega$$ resistor in the given electrical circuit is :
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The force between two electric point charges at rest in air is $$F_1$$ When the same arrangement is kept inside water, t
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A neutron makes a head on elastic collision with a lead nucleus. The ratio of nuclear mass to neutron mass is 206 . The
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A battery is made of 12 cells having emf $$5 \mathrm{~V}$$ each. If three cells are unknowingly connected wrong, the res
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A circular loop of area $$0.04 \mathrm{~m}^2$$ carrying a current of $$10 \mathrm{~A}$$ is held with its plane perpendic
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In the photoelectric experiment, the frequency of the incident radiation is doubled. What will be its effect on the phot
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One volt induced emf is produced in the secondary coil when the current through the primary coil is changed from $$3 \ma
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The current drawn by the primary coil of an ideal transformer, which steps up $$22 \mathrm{~V}$$ into $$220 \mathrm{~V}$
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