COMEDK 2024 Morning Shift

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Sun, May 12, 2024 3:00 AM

## Chemistry

What would be the EMF of the cell in which the following reaction occurs:
$$\begin{aligned}
& \mathrm{Cd}(\mathrm{S})+2

View Question $$\text { Identify }[\mathrm{B}] \text { and }[\mathrm{C}] \text { formed in the reactions given below. }$$

View Question Identify the 2 chemical tests which is not answered by Glucose having an open chain structure
[A] Reaction with Schiff's

View Question A d - block metal $$\mathrm{X}(\mathrm{Z}=26)$$ forms a compound $$[\mathrm{X}(\mathrm{CN})_2(\mathrm{CO})_4]^{+}$$. Cal

View Question Which one of the following compounds shows Geometrical isomerism?

View Question A sweet smelling organic compound $$[\mathrm{A}]\left(\mathrm{C}_9 \mathrm{H}_{10} \mathrm{O}_2\right)$$ undergoes acid

View Question Arrange the following ions in the increasing order of their $$\Delta H_{(\text {hydration})}$$ values.
$$\mathrm{Cr}^{2+

View Question What is the final product formed when Toluene undergoes the following series of reactions?

View Question The time required for $$80 \%$$ of a first order reaction is "$$y$$" times the half-life period of the same reaction. Wh

View Question The standard enthalpy of formation of $$\mathrm{CH}_4$$, the standard enthalpy of sublimation of Carbon and the bond dis

View Question From the following compounds, identify the one which is most acidic.

View Question An inorganic salt comprises of atoms of elements $$\mathrm{A}, \mathrm{B}$$ and $$\mathrm{C}$$. If the oxidation numbers

View Question The rate constant for the reaction $$\mathrm{A} \rightarrow \mathrm{B}+\mathrm{C}$$ at $$500 \mathrm{~K}$$ is given as $

View Question An organic compound $$[\mathrm{A}]\left(\mathrm{C}_5 \mathrm{H}_{12} \mathrm{O}\right)$$, on reaction with conc. $$\math

View Question For the reaction $$\mathrm{Cl}_{2(\mathrm{~g})}+2 \mathrm{NO}_{(\mathrm{g})} \rightarrow 2 \mathrm{NOCl}_{(\mathrm{g})}$

View Question $$\mathrm{K}_{\mathrm{H}}$$ for $$\mathrm{O}_2$$ at $$293 \mathrm{~K}$$ is $$34.86 \mathrm{~kbar}$$. What should be the

View Question The permanganate ion in acid medium acts as an oxidant and gets converted to its lower oxidation state. What would be th

View Question $$\mathrm{A}_3 \mathrm{~B}_4$$ is a sparingly soluble salt with a solubility of $$\mathrm{s} g / \mathrm{L}$$. If the Mo

View Question Given below are 4 graphs [A], [B], [C] and [D]
Identify the 2 graphs that represent a Zero order reaction?

View Question A given mass of a hydrocarbon on complete combustion produced $$176 \mathrm{~g}$$ of $$\mathrm{CO}_2$$ and $$90 \mathrm{

View Question An unsaturated hydrocarbon $$[\mathrm{A}]$$ reacts with $$\mathrm{HBr}$$ in presence of Benzoyl peroxide to yield [B]
Co

View Question Match the compounds given in Column I with their characteristic features listed in Column II
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View Question Choose the group of ions / molecules in which none of the species undergo Disproportionation reaction.

View Question What is the amount of ice that separates out on cooling a solution containing $$60 \mathrm{~g}$$ of Ethylene glycol in $

View Question $$\text { If a compound } \mathrm{X}_3 \mathrm{Y} \text { is } 60 \% \text { ionised in aqueous medium, what is its van'

View Question A Coordination compound is represented by the formula $$[\mathrm{CoBr}_3(e n) x]$$. This compound required one mole of $

View Question Propane in presence of $$\mathrm{O}_2$$ gas undergoes complete combustion to produce $$\mathrm{CO}_2$$ and $$\mathrm{H}_

View Question Arrange the following compounds in the decreasing order of reactivity towards $$\mathrm{S}_{\mathrm{N}} 1$$ reaction.

View Question
Above figure represents Vapour pressure versus Temperature graphs of 2 pure volatile liquids and a solution formed by t

View Question Which one of the following statements is incorrect regarding acetal and ketal formation when Propanal and Propanone are

View Question Choose the incorrect statement from the following.

View Question $$0.1 \mathrm{M}$$ solution of $$\mathrm{AgNO}_3$$ is taken in a Conductivity cell and a potential difference of $$40 \m

View Question A statement of Assertion followed by a statement of Reason is given.
Choose the correct answer out of the following opti

View Question $$300 \mathrm{ml}$$ of an aqueous solution of $$\mathrm{NaOH}$$ with $$\mathrm{pH}$$ value of 10 is mixed with $$200 \ma

View Question Aniline undergoes reactions with reagents given in the order shown
(i) Aqueous $$\mathrm{Br}_2$$
(ii) $$\mathrm{NaNO}_2

View Question Which one of the following shows the correct increasing order of basic nature of the given compounds?
A: Phenylmethanami

View Question Given: $$\Delta \mathrm{G}^0{ }_{\mathrm{f}}$$ of $$\mathrm{C}_2 \mathrm{H}_2$$ is $$2.09 \times 10^5 \mathrm{~J} / \mat

View Question A Carbonyl compound $$\mathrm{X}$$ when reacted with Methyl magnesium bromide followed by hydrolysis gave product $$\mat

View Question Identify the Reagents I and II to be used in the course of the given reactions.

View Question Given below are 4 species with one odd electron on the Carbon atom.
$$\begin{array}{ll}
\mathrm{A}=\left(\mathrm{CH}_3\r

View Question Which one of the following compounds when reacted with $$\mathrm{NaOH}$$ (aq) undergoes Substitution Nucleophilic Bimole

View Question A statement of Assertion followed by a statement of Reason is given. Choose the correct answer out of the following opti

View Question Match the Hormones listed in Column I with their characteristics listed in Column II
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View Question Identify the product [D] formed when Reactant [A] $$(M M 78 \mathrm{~g} / \mathrm{mol})$$ undergoes the series of reacti

View Question The boiling point of a $$4 \%$$ aqueous solution of a non-volatile solute $$\mathrm{P}$$ is equal to the boiling point o

View Question Given below are 4 statements about Insulin. Which of these statement/(s) is/are correct?
[A] Insulin is a globular prote

View Question Given below are 4 subatomic particles travelling with the same velocity "v". Which of them will have the shortest wavele

View Question The mass number of an element $$\mathrm{X}$$ is 175 with 104 neutrons in its nucleus. Into which one of the following or

View Question What is the number of mono-chloro derivatives of Ethyl cyclohexane possible?

View Question Which one of the following is the correct IUPAC name of the given compound?

View Question An aromatic hydrocarbon $$[\mathrm{A}]\left(\mathrm{Molecular}\right.$$ formula $$\left.\mathrm{C}_9 \mathrm{H}_{12}\rig

View Question A given chemical reaction is represented by the following stoichiometric equation.
$$3 X+2 Y+\frac{5}{2} Z \rightarrow P

View Question Match the chemical reactions taking place at the Anode of the cell with the correct cell in which the reaction occurs.

View Question If the enthalpy of formation of a diatomic molecule $$\mathrm{AB}$$ is $$-400 \mathrm{~kJ} / \mathrm{mol}$$ and the bond

View Question Choose the incorrect statement from the following

View Question Given below are 4 equations showing Molar conductivities at infinite dilution of various electrolytes. Which one of them

View Question On the basis of VSEPR theory, match the molecules listed in Column I with their shapes given in Column II.
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View Question Match the compounds given in column I with the corresponding most stable Carbocations formed by each, as given in Column

View Question Identify the pair of molecules, both of which have positive values of Dipole moment.

View Question Given below are 4 molecular species/ions. Identify the species/ion which exhibits diamagnetic nature.
$$[\mathrm{A}]=\ma

View Question ## Mathematics

The side of an equilateral triangle expands at the rate of $$\sqrt{3} \mathrm{~cm} / \mathrm{sec}$$. When the side is $$

View Question $$
\text { If } P=\left[\begin{array}{lll}
1 & \alpha & 3 \\
1 & 3 & 3 \\
2 & 4 & 4
\end{array}\right] \text { is the ad

View Question $$
\text { If } f(x)=\left\{\begin{array}{cc}
\frac{1-\sin x}{(\pi-2 x)^2} & , \quad \text { if } x \neq \frac{\pi}{2} \

View Question $$\begin{aligned}
&\begin{aligned}
& \text { A, B, C are subsets of the Universal set U } \\
& \text { If } \mathrm{A}=\

View Question The foot of the perpendicular from $$(2,4,-1)$$ to the line $$x+5=\frac{1}{4}(y+3)=-\frac{1}{9}(z-6)$$ is

View Question In how many ways can the word "CHRISTMAS" be arranged so that the letters '$$\mathrm{C}$$' and '$$\mathrm{M}$$' are neve

View Question $$\lim _\limits{x \rightarrow 0} \frac{\sqrt{a+x}-\sqrt{a}}{x \sqrt{a(a+x)}}$$ equals to

View Question A and B each have a calculator which can generate a single digit random number from the set $$\{1,2,3,4,5,6,7,8\}$$. The

View Question If $$\cos \theta=\frac{1}{2}\left(x+\frac{1}{x}\right)$$ then $$\frac{1}{2}\left(x^2+\frac{1}{x^2}\right)=$$

View Question The probability that a randomly chosen number from one to twelve is a divisor of twelve is

View Question Evaluate : $$\cos ^{-1}\left[\cos \left(-680^{\circ}\right)\right]+\sin ^{-1}\left[\sin \left(-600^{\circ}\right)\right]

View Question If $$f(x)=f^{\prime}(x)$$ and $$f(1)=2$$, then $$f(3)$$ is

View Question The equation of an ellipse, whose focus is $$(1,0)$$, directrix is $$x=4$$ and whose eccentricity is a root of the quadr

View Question If $$A=\left[\begin{array}{ccc}-1 & 1 & 2 \\ 1 & 2 & 3 \\ 3 & 1 & 1\end{array}\right]$$ then the inverse of $$(A I)^t$$

View Question $$
\text { If } x, y, z \text { are non zero real numbers, then inverse of matrix } A=\left[\begin{array}{lll}
x & 0 & 0

View Question If $$\left[{ }^{n+1} C_{r+1}\right]:\left[{ }^n C_r\right]:\left[{ }^{n-1} C_{r-1}\right]=11: 6: 3$$ then $$n r=$$

View Question If $$\int \frac{1}{\sqrt{\sin ^3 x \cos x}} d x=\frac{k}{\sqrt{\tan x}}+c$$ then the value of $$k$$ is

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

View Question A geometric progression consists of an even number of terms. If the sum of all the terms is 5 times the sum of the terms

View Question The particular solution of $$\frac{d y}{d x}+\sqrt{\frac{1-y^2}{1-x^2}}=0$$, when $$x=0, y=\frac{1}{2}$$ is

View Question If the events A and B are mutually exclusive events such that $$P(A)=\frac{1}{3}(3 x+1)$$ and $$P(B)=\frac{1}{4}(1-x)$$

View Question The mean of the numbers $$a, b, 8,5,10$$ is 6 and the variance is 6.80 , then which of the following gives possible valu

View Question If $$f(x)=2 x^3+9 x^2+\lambda x+20$$ is a decreasing function of $$x$$ in the largest possible interval $$(-2,-1)$$, the

View Question $$\int \sqrt{x^2-4 x+2} d x=$$

View Question $$4\left(1+\cos \frac{\pi}{8}\right)\left(1+\cos \frac{3 \pi}{8}\right)\left(1+\cos \frac{5 \pi}{8}\right)\left(1+\cos \

View Question The minimum value of $$Z=150 x+200 y$$ for the given constraints
$$\begin{aligned}
& 3 x+5 y \geq 30 \\
& x+y \geq 8 ; x

View Question The vector equation of two lines are
$$\begin{aligned}
& \vec{r}=(1-t) \hat{\imath}+(t-2) \hat{\jmath}+(3-2 t) \hat{k} \

View Question $$
\text { If the matrix } A=\left(\begin{array}{cc}
1 & -1 \\
-1 & 1
\end{array}\right) \text { then } A^{n+1}=
$$

View Question $$
\text { If } A=\{1,2,3,4,5\} \text { and } B=\{2,3,6,7\} \text { then number of elements in the set }(A \times B) \ca

View Question If $$
\left[\begin{array}{lll}
1 & x & 1
\end{array}\right]\left[\begin{array}{ccc}
1 & 3 & 2 \\
2 & 5 & 1 \\
15 & 3 & 2

View Question $$
\int \frac{x}{x^4-16} d x=
$$

View Question Find the direction in which a straight line must be drawn through the point $$(1,2)$$ so that its point of intersection

View Question An urn contains 2 white and 2 black balls. A ball is drawn at random. If it is white it is not replaced into the urn. Ot

View Question The perpendicular distance of a line from the origin is 5 units and its slope is $$-1$$.
The equation of the line is

View Question Given $$a, b, c$$ are three unequal numbers such that $$\mathrm{b}$$ is arithmetic mean of $$a$$ and $$c$$ and $$(b-a),(

View Question $$
\text { If } y=\log _e\left(\frac{x^2}{e^2}\right) \text {, then } \frac{d^2 y}{d x^2} \text { is equal to }
$$

View Question The equation of a circle passing through the origin is $$x^2+y^2-6 x+2 y=0$$. The equation of one of its diameter is

View Question The particular solution of the differential equation $$\cos x \frac{d y}{d x}+y=\sin x$$ at $$y(0)=1$$

View Question A random variable X with probability distribution is given below
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View Question $$
\text { The point on the curve } x^2=x y \text { which is closest to }(0,5) \text { is }
$$

View Question $$
\text { If } y=\tan ^{-1}\left(\frac{3-2 x}{1+6 x}\right) \text { then } \frac{d y}{d x} \text { is }
$$

View Question $$
\text { The modulus of the following complex number } \frac{1+i}{1-i}-\frac{1-i}{1+i} \text { is }
$$

View Question The area (in sq units) of the minor segment bounded by the circle $$x^2+y^2=a^2$$ and the line $$x=\frac{a}{\sqrt{2}}$$

View Question Let $$f: R \rightarrow R$$ be a function defined by $$f=\frac{e^{|x|}-e^{-x}}{e^x+e^{-x}}$$ then

View Question $$
\lim _\limits{x \rightarrow 0}\left(\frac{\sin a x}{\sin b x}\right)^k \text { equals }
$$

View Question $$
\text { If } \sin y=x(\cos (a+y)) \text {, then find } \frac{d y}{d x} \text { when } x=0
$$

View Question The vector $$(\vec{r})$$ whose magnitude is $$3 \sqrt{2}$$ units which makes an angle of $$\frac{\pi}{4}$$ and $$\frac{\

View Question $$
\text { The value of } \sin ^{-1}\left[\cot \left(\frac{1}{2} \tan ^{-1} \frac{1}{\sqrt{3}}+\cos ^{-1} \frac{\sqrt{12

View Question For a given curve $$y=2 x-x^2$$, when $$x$$ increases at the rate of 3 units/sec, then how does the slope of the curve c

View Question The coefficient of the third term in the expansion of $$\left(x^2-\frac{1}{4}\right)^n$$, when expanded in the descendin

View Question $$
\text { If }|\vec{a} \times \vec{b}|^2+|\vec{a} \cdot \vec{b}|^2=144 ~\&~|\vec{a}|=4 \text { then }|\vec{b}|=
$$

View Question $$
\text { If } \sin A=\frac{4}{5} \text { and } \cos B=\frac{-12}{13} \text { where } A \text { and } B \text { lie in

View Question $$
\int_\limits{-1}^1 \frac{d}{d x}\left(\tan ^{-1} \frac{1}{x}\right) d x \text { is }
$$

View Question $$
\text { If } \frac{1}{2}\left(\frac{3 x}{5}+4\right) \geq \frac{1}{3}(x-6), x \in R \text { then }
$$

View Question $$
\text { The area (in sq units) enclosed by the parabola } y^2=8 x \text {, its latus-rectum and the } x \text {-axis

View Question The most economical proportion of the height of a covered box of fixed volume whose base is a rectangle with one side th

View Question Express the set $$A=\{1,7,17,31,49\}$$ in set builder form

View Question $$
(32) \times(32)^{\frac{1}{6}} \times(32)^{\frac{1}{36}} \times-----\infty \text { is equal to }
$$

View Question $$
\text { The value of } \int \frac{1}{x+\sqrt{x-1}} d x \text { is }
$$

View Question Which of the following is not a homogenous function of $$x$$ and $$y$$

View Question ## Physics

The resistance of the galvanometer and shunt of an ammeter are $$90 \mathrm{~ohm}$$ and $$10 \mathrm{~ohm}$$ respectivel

View Question A glass of hot water cools from $$90^{\circ} \mathrm{C}$$ to $$70^{\circ} \mathrm{C}$$ in 3 minutes when the temperature

View Question When two objects are moving along a straight line in the same direction, the distance between them increases by $$6 \mat

View Question In the Young's double slit experiment $$n^{\text {th }}$$ bright for red coincides with $$(n+1)^{\text {th }}$$ bright f

View Question A metal ball of $$20 \mathrm{~g}$$ is projected at an angle $$30^{\circ}$$ with the horizontal with an initial velocity

View Question The threshold frequency for a metal surface is '$$n_0$$'. A photo electric current '$$I$$' is produced when it is expose

View Question A $$500 \mathrm{~W}$$ heating unit is designed to operate on a $$400 \mathrm{~V}$$ line. If line voltage drops to $$160

View Question Current flows through uniform, square frames as shown in the figure.
In which case is the magnetic field at the centre o

View Question A transformer which steps down $$330 \mathrm{~V}$$ to $$33 \mathrm{~V}$$ is to operate a device having impedance $$110 \

View Question A cell of emf E and internal resistance r is connected to two external resistances $$\mathrm{R_1}$$ and $$\mathrm{R_2}$$

View Question Select the unit of the coefficient of mutual induction from the following.

View Question Steel is preferred to soft iron for making permanent magnets because,

View Question A particle executes a simple harmonic motion of amplitude $$\mathrm{A}$$. The distance from the mean position at which i

View Question A body of mass $$5 \mathrm{~kg}$$ at rest is rotated for $$25 \mathrm{~s}$$ with a constant moment of force $$10 \mathrm

View Question In the normal adjustment of an astronomical telescope, the objective and eyepiece are $$32 \mathrm{~cm}$$ apart. If the

View Question In a given semiconductor, the ratio of the number density of electron to number density of hole is $$2: 1$$. If $$\frac{

View Question If $$\mathrm{A}$$ is the areal velocity of a planet of mass $$\mathrm{M}$$, then its angular momentum is

View Question When a particular wave length of light is used the focal length of a convex mirror is found to be $$10 \mathrm{~cm}$$. I

View Question The mass of a particle $$\mathrm{A}$$ is double that of the particle $$\mathrm{B}$$ and the kinetic energy of $$\mathrm{

View Question A coil of inductance $$1 \mathrm{H}$$ and resistance $$100 \Omega$$ is connected to an alternating current source of fre

View Question The current through a conductor is '$$\mathrm{a}$$' when the temperature is $$0^{\circ} \mathrm{C}$$. It is '$$\mathrm{b

View Question Which of the following graph shows the variation of velocity with mass for the constant momentum?

View Question For a $$30^{\circ}$$ prism when a ray of light is incident at an angle $$60^{\circ}$$ on one of its faces, the emergent

View Question A coil offers a resistance of $$20 \mathrm{~ohm}$$ for a direct current. If we send an alternating current through the s

View Question A square shaped aluminium coin weighs $$0.75 \mathrm{~g}$$ and its diagonal measures $$14 \mathrm{~mm}$$. It has equal a

View Question If the earth has a mass nine times and radius four times that of planet X, the ratio of the maximum speed required by a

View Question Two similar coils $A$ and $B$ of radius '$$r$$' and number of turns '$$N$$' each are placed concentrically with their pl

View Question An ideal diode is connected in series with a capacitor. The free ends of the capacitor and the diode are connected acros

View Question Which of the following statement is true regarding the centre of mass of a system?

View Question A ray of light travelling through a medium of refractive index $$\frac{5}{4}$$ is incident on a glass of refractive inde

View Question The ratio of the radii of the nucleus of two element $$\mathrm{X}$$ and $$\mathrm{Y}$$ having the mass numbers 232 and 2

View Question When light wave passes from a medium of refractive index '$$\mu$$' to another medium of refractive index '$$2 \mu$$' the

View Question On increasing the temperature of a conductor, its resistance increases because

View Question The difference in energy levels of an electron at two excited levels is $$13.75 \mathrm{~eV}$$. If it makes a transition

View Question A string of length $$25 \mathrm{~cm}$$ and mass $$10^{-3} \mathrm{~kg}$$ is clamped at its ends. The tension in the stri

View Question A cubical box of side $$1 \mathrm{~m}$$ contains Boron gas at a pressure of $$100 \mathrm{~Nm}^{-2}$$. During an observa

View Question Around the central part of an air cored solenoid of length $$20 \mathrm{~cm}$$ and area of cross section $$1.4 \times 10

View Question A circular coil of radius $$0.1 \mathrm{~m}$$ is placed in the $$\mathrm{X}-\mathrm{Y}$$ plane and a current $$2 \mathrm

View Question A body is moving along a circular path of radius '$$r$$' with a frequency of revolution numerically equal to the radius

View Question Which of the given dimensional formula represents heat capacity

View Question If potential (in volt) in a region is expressed as $$\mathrm{V}(\mathrm{x}, \mathrm{y}, \mathrm{z})=6 \mathrm{xy}-\mathr

View Question The closest approach of an alpha particle when it make a head on collision with a gold nucleus is $$10 \times 10^{-14} \

View Question A one $\mathrm{kg}$ block of ice at $$-1.5^{\circ} \mathrm{C}$$ falls from a height of $$1.5 \mathrm{~km}$$ and is found

View Question 64 rain drops of the same radius are falling through air with a steady velocity of $$0.5 \mathrm{~cm} \mathrm{~s}^{-1}$$

View Question The capacitance of a parallel plate capacitor is $$400 \mathrm{~pF}$$. It is connected to an ac source of $$100 \mathrm{

View Question Though $$\mathrm{Sn}$$ and $$\mathrm{Si}$$ are $$4^{\text {th }}$$ group elements, $$\mathrm{Sn}$$ is a metal while $$\m

View Question Five charges, '$$q$$' each are placed at the comers of a regular pentagon of side '$$a$$' as shown in figure. First, cha

View Question Two circular coils of radius '$$a$$' and '$$2 a$$' are placed coaxially at a distance ' $$x$$ and '$$2 x$$' respectively

View Question A metallic rod of $$2 \mathrm{~m}$$ length is rotated with a frequency $$100 \mathrm{~Hz}$$ about an axis passing throug

View Question The power of a gun which fires 120 bullet per minute with a velocity $$120 \mathrm{~ms}^{-1}$$ is : (given the mass of e

View Question The width of the fringes obtained in the Young's double slit experiment is $$2.6 \mathrm{~mm}$$ when light of wave lengt

View Question An electric bulb of volume $$300 \mathrm{~cm}^3$$ was sealed off during manufacture at a pressure of $$1 \mathrm{~mm}$$

View Question Find the binding energy of the tritium nucleus:
[Given: mass of $$1 \mathrm{H}^3=3.01605 \mathrm{~u} ; \mathrm{~m}_{\mat

View Question In a single slit diffraction experiment, for slit width '$$\alpha$$' the width of the central maxima is '$$\beta$$'. If

View Question Two charges '$$-q$$' each are fixed, separated by distance '$$2 d$$'. A third charge '$$q$$' of mass '$$m$$' placed at t

View Question Two metal spheres, one of radius $$\frac{R}{2}$$ and the other of radius $$2 \mathrm{R}$$ respectively have the same sur

View Question Find the value of '$$n$$' in the given equation $$P=\rho^n v^2$$ where '$$P$$' is the pressure, '$$\rho$$' density and '

View Question A stone of mass $$2 \mathrm{~kg}$$ is hung from the ceiling of the room using two strings. If the strings make an angle

View Question A parallel plate capacitor is filled by a dielectric whose relative permittivity varies with the applied voltage (U) as

View Question If the ratio of lengths, radii and Young's Moduli of steel and brass wires in the figure are $$\mathrm{a}, \mathrm{b}$$

View Question