COMEDK 2024 Evening Shift

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Sun, May 12, 2024 12:00 PM

## Chemistry

Given are 4 statements related to the chemical properties of Glucose.
Identify the two incorrect statements from the fol

View Question At $$700 \mathrm{~K}$$, the Equilibrium constant value for the formation of $$\mathrm{HI}$$ from $$\mathrm{H}_2$$ and $$

View Question A compound having molecular formula $$\mathrm{C}_4 \mathrm{H}_{11} \mathrm{N}$$, reacts with $$\mathrm{CHCl}_3$$ in alco

View Question A Hydrocarbon [A] (molecular formula $$\mathrm{C}_3 \mathrm{H}_6$$) on reaction with $$\mathrm{Br}_2 / \mathrm{CCl}_4$$

View Question Identify the end-product [D] formed when solution salicylate undergoes the following series of reactions

View Question For a given reaction, ,$$\mathrm{X}(\mathrm{g})+\mathrm{Y}(\mathrm{g} \rightarrow \mathrm{Z}(\mathrm{g})$$, the order of

View Question Study the graph between partial pressure and mole fraction of some gases and arrange the gases P, Q, R and S dissolved i

View Question Identify the final product formed when Toluene undergoes a series of reactions with reagents given in the order:
(i) $$\

View Question 4 statements are given below. Identify the incorrect statement
A. Phenol has lower $$\mathrm{pK}_{\mathrm{a}}$$ value th

View Question One of the reactions A, B, C, D given below yields a product which will not answer Hinsberg's test when reacted with Ben

View Question Identify the correct statement from the following.

View Question Identify the compound which is non-aromatic in nature.

View Question Given that the freezing point of benzene is $$5.48^{\circ} \mathrm{C}$$ and its $$\mathrm{K}_{\mathrm{f}}$$ value is $$5

View Question Identify the final product formed when Benzamide undergoes the following reactions:

View Question Identify the correct statement regarding corrosion of iron rod left exposed to atmosphere.

View Question Two statements, Assertion and Reason are given below. Choose the correct option.
Assertion: n-propyl tert-butyl ether ca

View Question Two statements, Assertion and Reason are given. Choose the correct option from the following.
Assertion: In the secondar

View Question An inorganic compound $$\mathrm{W}$$ undergoes the following reactions:
$$
\begin{gathered}
W+\frac{\mathrm{Na}_2 \mathr

View Question Given are the names of 4 compounds. Two of these compounds will not undergo Cannizzaro's reaction. Identify the two.
A.

View Question Identify the product $$[\mathrm{C}]$$ formed at the end of the reaction below
1,1,2,2- Tetrabromopropane + 2 $$\mathrm{Z

View Question What is/are the product/s formed when Benzaldehyde and Ethanal react in presence of dil. $$\mathrm{NaOH}$$ followed by h

View Question In the estimation of element $$\mathrm{X}$$ in an organic compound, $$0.8 \mathrm{~g}$$ of the compound containing $$\ma

View Question Identify the pair of molecules in which one of them is a molecule with an odd electron and the other has an expanded oct

View Question Arrange the following compounds in the increasing order of their reactivity when each of them is reacted with chloroetha

View Question What mass of Silver chloride, in grams, gets precipitated when $$150 \mathrm{~ml}$$ of $$32 \%$$ solution of Silver nitr

View Question Which of the following 2 compounds exhibit both Geometrical and Structural isomerism?
$$\begin{aligned}
& \mathrm{A}=\le

View Question What is the wave number (Units $$\mathrm{cm}^{-1}$$) of the longest wave length transition in the Balmer series of Hydro

View Question Given below are 2 statements: Assertion and Reason. Choose the correct option.
Assertion: When Molar conductivity for a

View Question Based on Valence Bond Theory, match the complexes listed in Column I with the number of unpaired electrons on the centra

View Question What are the Principal & Azimuthal quantum number values of the valence electrons in tripositive Lutetium?

View Question What is the quantity of charge, in Faraday units, required for the reduction of 3.5 moles of $$\mathrm{Cr}_2 \mathrm{O}

View Question A dry cell consists of a moist paste of $$\mathrm{NH}_4 \mathrm{Cl}$$ and $$\mathrm{ZnCl}_2$$ contained in a $$\mathrm{Z

View Question Compounds $$\mathrm{A}$$ and $$\mathrm{B}$$, having the same molecular formula $$(\mathrm{C}_4 \mathrm{H}_8 \mathrm{O})$

View Question Match the names of reactions given in Column I with the appropriate reactions given in Column II.
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View Question With reference to Pauling's Electronegativity scale, which one of the following options shows the correct order of elect

View Question What volume of $$0.2 \mathrm{~M}$$ Acetic acid is to be added to $$100 \mathrm{ml}$$ of $$0.4 \mathrm{M}$$ Sodium acetat

View Question Arrange the compounds $$\mathrm{A}, \mathrm{B}, \mathrm{C}$$ and $$\mathrm{D}$$ in the increasing order of their reactiv

View Question For a reaction $$5 X+Y \rightarrow 3 Z$$, the rate of formation of $$Z$$ is $$2.4 \times 10^{-5} \mathrm{~mol} \mathrm{~

View Question In the redox reaction between $$\mathrm{Cr}_2 \mathrm{O}_7^{2-} / \mathrm{H}^{+}$$ and sulphite ion, what is the number

View Question Which of the following two molecular species are Diamagnetic in nature?
$$[\mathrm{A}]=\mathrm{O}_2^{-} \quad[\mathrm{B}

View Question A solute $$\mathrm{X}$$ is found to exist as a dimer in water. A 4 molal solution of $$\mathrm{X}$$ shows a boiling poin

View Question The Lanthanoid ion which would form coloured compounds is -------------.
Atomic numbers: $$\mathrm{Yb}=70, \quad \mathrm

View Question Given below are 4 statements. Two of these are correct statements. Identify them.
A. $$\mathrm{Co}^{2+}$$ is easily oxid

View Question The Enthalpy of combustion of $$\mathrm{C}_6 \mathrm{H}_5 \mathrm{COOH}(\mathrm{s})$$ at $$25^{\circ} \mathrm{c}$$ and 1

View Question Sulphuric acid used in Lead Storage battery has a concentration of $$4.5 \mathrm{~M}$$ and a density of $$1.28 \mathrm{~

View Question Given :
$$
\begin{gathered}
\Delta \mathrm{H}^0 \mathrm{f}_{\text {of }} \mathrm{CO}_2(\mathrm{~g})=-393.5 \mathrm{~kJ}

View Question A current of 3.0A is passed through 750 ml of 0.45 M solution of CuSO$$_4$$ for 2 hours with a current efficiency of 90%

View Question Match the Vitamins given in Column I with the diseases caused by their deficiency as given in Column II.
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View Question Which one of the following is the correct order of reagents to be used to convent [A] to [X] ?
$$
\text { Reagents: } \

View Question Arrange the following redox couples in the increasing order of their reducing strength:
$$\begin{array}{ll}
{[\mathrm{A}

View Question In the presence of a catalyst at a given temperature of $$27^{\circ} \mathrm{C}$$, the Activation energy of a specific r

View Question 5.0 moles of an Ideal gas at 3.0 atm pressure and $$27^{\circ} \mathrm{C}$$ is compressed isothermally to half its volum

View Question Identify the products C, D and F formed in the following sets of reactions.

View Question Given below are 4 reactions. Two of these reactions will give product which is an equimolar mixture of the d and 1 forms

View Question $$200 \mathrm{ml}$$ of an aqueous solution contains $$3.6 \mathrm{~g}$$ of Glucose and $$1.2 \mathrm{~g}$$ of Urea maint

View Question The following data was recorded for the decomposition of XY compound at 750K
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View Question Identify the final product $$[\mathrm{D}]$$ formed when Benzyl alcohol undergoes the following series of reactions
$$\ma

View Question Choose the incorrect statement from the following:
A. Isoelectronic molecules/ions have the same bond order.
B. Dipole m

View Question Based on Crystal Field theory, match the Complex ions listed in Column I with the electronic configuration in the d orbi

View Question The Activation energy for the reaction $$A \rightarrow B+C$$, at a temperature $$\mathrm{TK}$$ was $$0.04606 \mathrm{~RT

View Question ## Mathematics

$$
\text { The rate of change of the volume of a sphere with respect to its surface area } \mathrm{S} \text { is }
$$

View Question While shuffling a pack of cards, 3 cards were accidently dropped, then find the probability that the missing cards belon

View Question The area of the triangle whose vertices are $$(-2, a)(2,-6)$$ and $$(5,4)$$ is 35 sq units then the value of '$$\mathrm{

View Question $$
\text { If } 3 A+4 B^t=\left(\begin{array}{ccc}
7 & -10 & 17 \\
0 & 6 & 31
\end{array}\right) \text { and } 2 B-3 A^t

View Question The domain of the function $$y=\frac{1}{\log _{10}(3-x)}+\sqrt{x+7}$$ is

View Question Consider an infinite geometric series with first term '$$a$$' and common ratio '$$r$$'.
If the sum of infinite geometric

View Question Let $$\alpha$$ and $$\beta$$ be the distinct roots of $$a x^2+b x+c=0$$, then $$\lim _\limits{x \rightarrow \alpha} \fra

View Question If two positive numbers are in the ratio $$3+2 \sqrt{2}: 3-2 \sqrt{2}$$, then the ratio between their A.M (arithmetic me

View Question $$
\text { The value of the integral } \int_\limits{\frac{1}{3}}^1 \frac{\left(x-x^3\right)^{\frac{1}{3}}}{x^4} d x \tex

View Question $$
\text { The area of the region enclosed by the curve }\left\{(x, y): 4 x^2+25 y^2=100\right\} \text { is }
$$

View Question The mean of five observations is 4 and their variance is 5.2 . If three of these observations are 1, 2 and 6, then the o

View Question The line joining two points $$A(2,0) B(3,1)$$ is rotated about $$A$$ in anticlockwise direction through an angle of $$15

View Question $$
\text { The value of } \lim _\limits{x \rightarrow 1} \frac{x^{15}-1}{x^{10}-1}=
$$

View Question Let $$\mathrm{A}$$ and $${B}$$ be two events such that $$P(A / B)=\frac{1}{2}$$ and $$P(B / A)=\frac{1}{3}$$ and $$P(A \

View Question $$
\text { If } \frac{\cos x}{\cos (x-2 y)}=\lambda \text { then } \tan (x-y) \tan y=
$$

View Question $$
\text { If } y=f(x), \quad p=\frac{d y}{d x} ; q=\frac{d^2 y}{d x^2} \text { then } \frac{d^2 x}{d y^2} \text { is eq

View Question $$
\text { If } \hat{\imath}+\hat{\jmath}-\hat{k} \quad \&~ 2 \hat{\imath}-3 \hat{\jmath}+\hat{k} \text { are adjacent s

View Question Which of the following relations on the set of real numbers $$\mathrm{R}$$ is an equivalence relation?

View Question A number consists of three digits in geometric progression. The sum of the right hand and left hand digits exceeds twice

View Question $$
\text { If } y=\sqrt{\sin x+y} \text { then find } \frac{d y}{d x} \text { at } x=0, \quad y=1
$$

View Question $$
\text { If } A=\left[\begin{array}{cc}
5 a & -b \\
3 & 2
\end{array}\right] \text { and } A \operatorname{adj} A=A A^

View Question $$
\text { If } f(x)=\left\{\begin{array}{cc}
x & , \quad 0 \leq x \leq 1 \\
2 x-1 & , \quad x>1
\end{array}\right. \tex

View Question The measure of the angle between the lines $$x=k+1, \quad y=2 k-1, \quad z=2 k+3, \quad k \in R \quad$$ and $$\quad \fra

View Question $$
\text { Evaluate: } \cot ^{-1}\left(-\frac{3}{\sqrt{3}}\right)-\sec ^{-1}\left(-\frac{2}{\sqrt{2}}\right)-\operatorna

View Question The shaded region in the Venn diagram represents

View Question $$
\text { The solution set for the inequality } 13 x-5

View Question The general solution of the differential equation $$x \frac{d y}{d x}=y+x \tan \left(\frac{y}{x}\right)$$ is

View Question $$
\sqrt{2+\sqrt{2+\sqrt{2+2 \cos 8 \theta}}} \text { where } \theta \in\left[-\frac{\pi}{8}, \frac{\pi}{8}\right] \text

View Question The turning point of the function $$y=\frac{a x-b}{(x-1)(x-4)}$$ at the point $$P(2,-1)$$ is

View Question A coin is tossed until a head appears or until the coin has been tossed three times. Given that 'head' does not appear o

View Question $$
\text { The value of } \int \frac{d x}{\sqrt{2 x-x^2}} \text { is }
$$

View Question The equation of the circle which touches the $$x$$-axis, passes through the point $$(1,1)$$ and whose centre lies on the

View Question If the matrix $A$ is such that $$A\left(\begin{array}{cc}-1 & 2 \\ 3 & 1\end{array}\right)=\left(\begin{array}{cc}-4 & 1

View Question In the parabola $$y^2=4 a x$$ the length of the latus rectum is 6 units and there is a chord passing through its vertex

View Question The points on the $$x$$-axis whose perpendicular distance from the line $$\frac{x}{3}+\frac{y}{4}=1$$ is 4 units are

View Question The side of a cube is equal to the diameter of a sphere. If the side and radius increase at the same rate then the ratio

View Question Suppose we have three cards identical in form except that both sides of the first card are coloured red, both sides of t

View Question $$
\text { The function } f(x)=\tan ^{-1}(\sin x+\cos x) \text { is an increasing function in }
$$

View Question For an examination a candidate has to select 7 questions from three different groups $$\mathrm{A}, \mathrm{B}$$ and C. T

View Question The letters of the word "COCHIN" are permuted and all the permutations are arranged in alphabetical order as in an Engli

View Question The co-ordinate of the foot of the perpendicular from $$P(1,8,4)$$ on the line joining $$R(0,-1,3)$$ and $$Q(2,-3,-1)$$

View Question $$
\text { The general solution of the differential equation }(1+\tan y)(d x-d y)+2 x d y=0 \text { is }
$$

View Question If $$a$$ is a real number such that $$\int_\limits0^a x d x \leq a+4$$ then

View Question Find the value of '$$b$$' such that the scalar product of the vector $$\hat{\imath}+\hat{\jmath}+\hat{k}$$ with the unit

View Question $$
\text { Value of } \cos 105^{\circ} \text { is }
$$

View Question The area bounded by the curve $$y=\cos x, x=0$$ and $$x=\pi$$ is

View Question $$
\text { If } I_n=\int_\limits0^{\frac{\pi}{4}} \tan ^n x d x \text {, for } n \geq 2 \text {, then } I_n+I_{n-2}=
$$

View Question In the expansion $$\left(\frac{1}{x}+x \sin x\right)^{10}, \quad$$ the co - efficient of $$6^{\text {th }}$$ term is equ

View Question $$
\text { If }(1-4 i)^3=a+i b \text { then the value of } \mathrm{a} \text { and } \mathrm{b} \text { is }
$$

View Question Two finite sets have '$$m$$' and '$$n$$' number of elements respectively. The total number of subsets of the first set i

View Question The sum of the order and degree of the differential equation $$\left(\frac{d^2 y}{d x^2}\right)^5+\frac{4\left(\frac{d^2

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

View Question $$
\text { Evaluate: } \cos ^{-1}\left(\cos \frac{35 \pi}{18}\right)-\sin ^{-1}\left(\sin \frac{35 \pi}{18}\right)
$$

View Question The maximum value of $$P=500 x+400 y$$ for the given constraints $$x+y \leq 200, \quad x \geq 20, \quad y \geq 4 x, \qua

View Question $$
\text { If } y=\sin ^{-1}\left(\frac{5 x+12 \sqrt{1-x^2}}{13}\right) \text { then } \frac{d y}{d x} \text { equals }

View Question If the straight lines $$\frac{x-2}{1}=\frac{y-3}{1}=\frac{z-4}{-t}$$ and $$\frac{x-1}{t}=\frac{y-4}{2}=\frac{z-5}{1}$$ a

View Question $$
\text { If } \frac{d y}{d x}=y+3>0 \text { and } y(0)=2 \text { then } y(\log 2) \text { is equal to }
$$

View Question What is the probability of a randomly chosen 2 digit number being divisible by 3 ?

View Question If $$A=\left[\begin{array}{ccc}0 & x & 16 \\ x & 5 & 7 \\ 0 & 9 & x\end{array}\right]$$ is a singular matrix then $$x$$

View Question What is the nature of the function $$f(x)=x^3-3 x^2+4 x$$ on real numbers?

View Question ## Physics

The binding energy per nucleon for $$\mathrm{C}^{12}$$ is $$7.68 \mathrm{~MeV}$$ and that for $$\mathrm{C}^{13}$$ is $$7

View Question The distance of closest approach when an alpha particle of kinetic energy $$6.5 \mathrm{~MeV}$$ strikes a nucleus of ato

View Question A scooter moves with a speed of $$7 \mathrm{~ms}^{-1}$$, on a straight road and is stopped by applying the brakes. Befor

View Question In Young's double slit experiment light of wavelength $$500 \mathrm{~nm}$$ is used to form interference pattern. A unifo

View Question Figure below shows a network of resistors, cells, and a capacitor at steady state.
What is the current through the resi

View Question A cricketer of height $$2.5 \mathrm{~m}$$ throws a ball at an angle of $$30^{\circ}$$ with the horizontal such that it i

View Question If an electron in a hydrogen atom jumps from the third orbit to the second orbit, it emits a photon of wavelength $$\lam

View Question A solid cylinder of mass $$2 \mathrm{~kg}$$ and radius $$0.2 \mathrm{~m}$$ is rotating about its own axis without fricti

View Question A neutral water molecule is placed in an electric field $$E=2.5 \times 10^4 \mathrm{NC}^{-1}$$. The work done to rotate

View Question A telescope has an objective of focal length $$60 \mathrm{~cm}$$ and eyepiece of focal length $$5 \mathrm{~cm}$$. The te

View Question A parallel plate capacitor having a dielectric constant 5 and dielectric strength $$10^6 \mathrm{~V} \mathrm{~m}^{-1}$$

View Question The coefficient of volume expansion of glycerine is $$49 \times 10^{-5} \mathrm{~K}^{-1}$$. The percentage change in its

View Question A current I flows in an infinitely long wire with cross section in the form of semi-circular ring of radius $$1 \mathrm{

View Question Three bulbs of $$40 \mathrm{~W}, 60 \mathrm{~W}$$, and $$100 \mathrm{~W}$$ are arranged in series with a $$220 \mathrm{~

View Question A photon emitted during the de-excitation of electron from a state $$\mathrm{n}$$ to the second excited state in a hydro

View Question The acceleration due to gravity at pole and equator can be related as

View Question A bar magnet is held perpendicular to a uniform field. If the couple acting on the magnet is to be halved, by rotating i

View Question A negative charge particle is moving upward in a magnetic field which is towards north. The particle is deflected toward

View Question Two point charges $$\mathrm{M}$$ and $$\mathrm{N}$$ having charges $$+q$$ and $$-q$$ respectively are placed at a distan

View Question A conducting circular loop is placed in a uniform magnetic field $$\mathrm{B}=0.125 \mathrm{~T}$$ with its plane perpend

View Question Figure below shows a lens of refractive index, $$\mu=1.4$$. $$C_1$$ and $$C_2$$ are the centres of curvature of the two

View Question The temperature of a wire is doubled. The Young's modulus of elasticity

View Question A wire of length $$2 \mathrm{~m}$$ carries a current of $$1 \mathrm{~A}$$ along the $$\mathrm{x}$$ axis. A magnetic fiel

View Question The dimension $$[\mathrm{ML}^{-1} \mathrm{~T}^{-2}]$$ is the physical quantity of

View Question The resistance of a $$10 \mathrm{~m}$$ long wire is $$10 \Omega$$. Its length is increased by $$25 \%$$ by stretching th

View Question A body is executing SHM. When its displacements from the mean position are $$4 \mathrm{~cm}$$ and $$5 \mathrm{~cm}$$ it

View Question When water falls from a height of $$80 \mathrm{~m}$$ at the rate of $$20 \mathrm{~kg} \mathrm{~s}^{-1}$$ to operate a tu

View Question An electron has a mass of $$9.1 \times 10^{-31} \mathrm{~kg}$$. It revolves round the nucleus in a circular orbit of rad

View Question $$
\text { If the nuclear radius of }{ }^{27} \mathrm{Al} \text { is } 3.6 \text { fermi, the nuclear radius of }{ }^{12

View Question When an A.C. source is connected to a inductive circuit,

View Question A satellite is revolving around the earth in a circular orbit with kinetic energy of $$1.69 \times 10^{10} \mathrm{~J}$$

View Question A ball is moving in a circular path of radius $$5 \mathrm{~m}$$. If tangential acceleration at any instant is $$10 \math

View Question If 216 drops of the same size are charged at $$200 \mathrm{~V}$$ each and they combine to form a bigger drop, the potent

View Question The conductivity of a semiconductor increases with increase in temperature because
A) number density of free current car

View Question Four resistors, each of resistance R, are connected as shown in the figure below.

View Question In the $$\mathrm{A} . \mathrm{C}$$. circuit given below, voltmeters $$\mathrm{V}_1$$ and $$\mathrm{V}_2$$ read $$100 \ma

View Question Joule second is the unit of

View Question When a biconvex lens of glass of refractive index 1.5 is dipped in a liquid, it acts like a plane sheet of paper.
This m

View Question The latent heat of vaporisation of water is $$2240 \mathrm{~J}$$. If the work done in the process of vaporisation of $$1

View Question A particle of mass $$2 \mathrm{mg}$$ has the same wavelength as a neutron moving with a velocity of $$3 \times 10^5 \mat

View Question Two narrow parallel slits illuminated by a coherent monochromatic light produces an interference pattern on a screen
pla

View Question Three point charges are located on a circular arc at $$\mathrm{A}, \mathrm{B}$$ and $$\mathrm{C}$$ as shown in the figur

View Question A voltmeter of resistance $$1000 \Omega .0 .5 \mathrm{~V} /$$ div is to be converted into a voltmeter to make it to read

View Question Column - I lists the waves of the electromagnetic spectrum. Column - II gives approximate frequency range of these waves

View Question A monochromatic light of wavelength $$800 \mathrm{~nm}$$ is incident normally on a single slit of width $$0.020 \mathrm{

View Question Internal energy of $$\mathrm{n}_1$$ moles of hydrogen at temperature T is equal to internal energy of $$\mathrm{m}_2$$ m

View Question A body initially at rest undergoes rectilinear motion. The forcetime (F-t) graph for the motion of the body is given bel

View Question Incident light of wavelength $$\lambda=800 \mathrm{~nm}$$ produces a diffraction pattern on a screen $$1.5 \mathrm{~m}$$

View Question A transformer of $$100 \%$$ efficiency has 200 turns in the primary and 40000 turns in the secondary. It is connected to

View Question Action and reaction can never balance out because

View Question The current in a coil changes steadily from $$3 \mathrm{~A}$$ to $$5 \mathrm{~A}$$ in $$0.2 \mathrm{~s}$$ when an emf of

View Question
The output of the given circuit is
A. Negatively rectified half wave
B. Positively rectified half wave
C. Negatively re

View Question For a paramagnetic material, the dependence of the magnetic susceptibility $$\chi$$ on the absolute temperature is given

View Question The magnetic flux linked with a coil is given by the equation: $$\phi=8 t^2+t+10$$. The e.m.f. induced in the coil in th

View Question A cylinder of fixed capacity 44.81 contains hydrogen gas at STP. What is the amount of heat needed to raise the temperat

View Question A hollow prism is filled with water and placed in air. It will deviate the incident rays

View Question The number of possible natural oscillations of air column in a pipe closed at one end of length $$85 \mathrm{~cm}$$ whos

View Question The figure shows a network of five capacitors connected to a 20 V battery. Calculate the charge acquired by each 10 $$\m

View Question What is the relation obeyed by the angles of contact $$\theta_1, \theta_2$$ and $$\theta_3$$ of 3 liquids of different d

View Question The following are the graphs of potential barrier versus width of the depletion region for a p-n junction diode.
Which

View Question