MHT CET 2023 10th May Morning Shift

Paper was held on
Wed, May 10, 2023 3:30 AM

## Chemistry

Identify the compound with highest acidic strength from following.

View Question Which of the following species is NOT isoelectronic with neon?

View Question Conductivity of a solution is $$1.26 \times 10^{-2} \Omega^{-1} \mathrm{~cm}^{-1}$$ Calculate molar conductivity for $$0

View Question Identify the molecule from following that does NOT involve $$\mathrm{sp}^3$$ hybridisation.

View Question Which among the following compounds is hemiacetal?

View Question Calculate the concentration of $$\mathrm{H}^{+}$$ ions in a solution if pOH is 11.

View Question Identify the name of compound
from following.

View Question Identify the physical quantity that is measured in Candela.

View Question Calculate the edge length of unit cell of metal which crystallises to bcc structure.
(Radius of metal atom $$=173 \mathr

View Question What is new temperature of a gas when its initial volume $$3 \mathrm{~dm}^3$$ at $$300 \mathrm{~K}$$ is doubled at const

View Question Which among the following phenols does NOT correctly match with their IUPAC names?

View Question Which among following statements is NOT true according to principles of green chemistry?

View Question What is the value of effective atomic number of cobalt in $$\left[\mathrm{Co}\left(\mathrm{NH}_3\right)_6\right]^{3+}$$

View Question For the reaction, $$3 \mathrm{~I}+\mathrm{S}_2 \mathrm{O}_8^{2-} \rightarrow \mathrm{I}_3^{-}+2 \mathrm{SO}_4^{2-}$$, at

View Question What is the total number of Bravais lattices present for different crystal systems?

View Question Identify compound $$\mathrm{Y}$$ in the following reaction. $$\mathrm{C}_2 \mathrm{H}_5 \mathrm{Cl}+\mathrm{Y} \stackrel

View Question Aniline is treated with $$\mathrm{NaNO}_2+\mathrm{HCl}$$ at low temperature to form:

View Question Which of the following is NOT a difficulty in setting SHE?

View Question Lewis acid is a substance that :

View Question Which among the following $$\alpha$$-amino acids does NOT have chiral carbon atom?

View Question The difference between $$\Delta \mathrm{H}$$ and $$\Delta \mathrm{U}$$ is usually significant for systems consisting of

View Question Which of the following elements is doped with to obtain fibre amplifiers for optical fibre communication system?

View Question What is the half life of a first order reaction if rate constant is $$4.2 \times 10^{-2}$$ per day?

View Question What type of solution is the ethyl alcohol in water?

View Question Which among the following colours is obtained in Schiff test of aldehydes?

View Question Which from following monomers is used to prepare thermocol?

View Question Which of the following is character of lyophilic colloid?

View Question Find the depression in freezing point of solution when 3.2 gram non volatile solute with molar mass $$128 \mathrm{~gram}

View Question What is the value of $$x$$ in order to balance following redox reaction?
$$\mathrm{Mn}_{(\mathrm{aq})}^{2+}+x \mathrm{Cl

View Question The reaction, $$3 \mathrm{ClO}^{-} \rightarrow \mathrm{ClO}_3^{-}+2 \mathrm{Cl}^{-}$$ occurs in two steps:
i. $$\quad 2

View Question Acetic acid dissociated to $$1.20 \%$$ in its $$0.01 \mathrm{~M}$$ solution. What is the value of its dissociation const

View Question The structure of functional group of secondary amide is :

View Question Which of the following solutions exhibits lowest value of boiling point elevation assuming complete dissociation?

View Question Identify heteroleptic complex from following.

View Question Which among the following statements of group-1 elements is NOT true?

View Question Identify glycosidic linkage present in lactose.

View Question Which of the following compounds reacts with $$\mathrm{HBr}$$ to form 1-Bromo-1-methylcyclohexane?

View Question Identify degenerate orbitals from following for hydrogen atom.

View Question Identify the product P obtained in following reaction.
Benzene + ozone (excess) $$\stackrel{\mathrm{CCl}_4}{\longrightar

View Question Identify strongest oxoacid of halogen from following.

View Question Identify the reagent $$\mathrm{R}$$ used in the reaction stated below.
Benzene diazonium chloride $$+\mathrm{R} \rightar

View Question Identify lanthanoid element from following.

View Question What is change in internal energy when system releases $$8 \mathrm{~kJ}$$ of heat and performs $$660 \mathrm{~J}$$ of wo

View Question Identify the method used to obtain $$\mathrm{SO}_2$$ gas in industry.

View Question Which among the following compounds reacts fastly with $$\mathrm{HBr}$$ ?

View Question Identify biodegradable polymer from following.

View Question What mass of $$\mathrm{Mg}$$ is produced during electrolysis of molten $$\mathrm{MgCl}_2$$ by passing $$2 \mathrm{~amp}$

View Question Calculate the final volume when 2 moles of an ideal gas expand from $$3 \mathrm{~dm}^3$$ at constant external pressure 1

View Question Calculate the molar mass of an element with density $$2.7 \mathrm{~g} \mathrm{~cm}^{-3}$$ that forms fcc structure. $$\l

View Question Identify ketone from the following.

View Question ## Mathematics

A group consists of 8 boys and 5 girls, then the number of committees of 5 persons that can be formed, if committee cons

View Question Scalar projection of the line segment joining the points $$\mathrm{A}(-2,0,3), \mathrm{B}(1,4,2)$$ on the line whose dir

View Question For a binomial variate $$\mathrm{X}$$ with $$\mathrm{n}=6$$ if $$P(X=4)=\frac{135}{2^{12}}$$, then its variance is

View Question If $$\overline{\mathrm{a}}=2 \hat{\mathrm{i}}+3 \hat{\mathrm{j}}+2 \hat{\mathrm{k}}, \overline{\mathrm{b}}=2 \hat{\mathr

View Question The number of integral values of $$\mathrm{p}$$ in the domain $$[-5,5]$$, such that the equation $$2 x^2+4 x y-p y^2+4 x

View Question An open metallic tank is to be constructed, with a square base and vertical sides, having volume 500 cubic meter. Then t

View Question The p.d.f. of a discrete random variable is defined as
$$\mathrm{f}(x)=\left\{\begin{array}{l}
\mathrm{k} x^2, 0 \leq x

View Question The variance, for first six prime numbers greater than 5, is

View Question The value of $$\lim _\limits{x \rightarrow a} \frac{\sqrt{a+2 x}-\sqrt{3 x}}{\sqrt{3 a+x}-2 \sqrt{x}}$$ is

View Question The points $$(1,3),(5,1)$$ are opposite vertices of a diagonal of a rectangle. If the other two vertices lie on the line

View Question Considering only the principal values of an inverse function, the set
$$\mathrm{A}=\left\{x \geq 0 / \tan ^{-1} x+\tan ^

View Question The line $$\frac{x-2}{3}=\frac{y-1}{-5}=\frac{z+2}{2}$$ lies in the plane $$x+3 y-\alpha z+\beta=0$$, then the value of

View Question The vector projection of $$\overline{\mathrm{AB}}$$ on $$\overline{\mathrm{CD}}$$, where $$A \equiv(2,-3,0), B \equiv(1,

View Question If the circles $$x^2+y^2=9$$ and $$x^2+y^2+2 \alpha x+2 y+1=0$$ touch each other internally, then the value of $$\alpha^

View Question If $$y=\cos ^{-1}\left(\frac{\mathrm{a}^2}{\sqrt{x^4+\mathrm{a}^4}}\right)$$, then $$\frac{\mathrm{d} y}{\mathrm{~d} x}$

View Question The population $$\mathrm{P}=\mathrm{P}(\mathrm{t})$$ at time $$\mathrm{t}$$ of certain species follows the differential

View Question The vertices of the feasible region for the constraints $$x+y \leq 4, x \leq 2, y \leq 1, x+y \geq 1, x, y \geq 0$$ are

View Question The value of $$\tan \frac{\pi}{8}$$ is

View Question If $$B=\left[\begin{array}{lll}1 & \alpha & 2 \\ 1 & 2 & 2 \\ 2 & 3 & 3\end{array}\right]$$ is the adjoint of a $$3 \tim

View Question The logical statement $$[\sim(\sim p \vee q) \vee(p \wedge r)] \wedge(\sim q \wedge r)$$ is equivalent to

View Question If $$w=\frac{z}{z-\frac{1}{3} i}$$ and $$|w|=1, i=\sqrt{-1}$$, then $$z$$ lies on

View Question If one side of a triangle is double the other and the angles opposite to these sides differ by $$60^{\circ}$$, then the

View Question If $$\int \sqrt{\frac{x-7}{x-9}} d x=A \sqrt{x^2-16 x+63}+\log \left|(x-8)+\sqrt{x^2-16 x+63}\right|+c,$$
(where $$\math

View Question A player tosses 2 fair coins. He wins ₹5 if 2 heads appear, ₹ 2 if one head appears and ₹ 1 if no head appears. Then the

View Question Area of the region bounded by the curve $$y=\sqrt{49-x^2}$$ and $$\mathrm{X}$$-axis is

View Question The solution of the equation $$\tan ^{-1}(1+x)+\tan ^{-1}(1-x)=\frac{\pi}{2}$$ is

View Question The differential equation $$\frac{\mathrm{d} y}{\mathrm{~d} x}=\frac{\sqrt{1-y^2}}{y}$$ determines a family of circles w

View Question A square plate is contracting at the uniform rate $$4 \mathrm{~cm}^2 / \mathrm{sec}$$, then the rate at which the perime

View Question If the function $$\mathrm{f}(x)$$ is continuous in $$0 \leq x \leq \pi$$, then the value of $$2 a+3 b$$ is where
$$f(x)=

View Question For $$x>1$$, if $$(2 x)^{2 y}=4 \mathrm{e}^{2 x-2 y}$$, then $$(1+\log 2 x)^2 \frac{\mathrm{d} y}{\mathrm{~d} x}$$ is eq

View Question The vectors are $$\bar{a}=2 \hat{i}+\hat{j}-2 \hat{k}, \bar{b}=\hat{i}+\hat{j}$$. If $$\bar{c}$$ is a vector such that $

View Question $$\int \frac{1}{7-6 x-x^2} d x=$$

View Question $$\int \frac{d x}{\sin x+\cos x}=$$

View Question A ladder of length $$17 \mathrm{~m}$$ rests with one end against a vertical wall and the other on the level ground. If t

View Question Let $$\mathrm{P}$$ be a plane passing through the points $$(2,1,0),(4,1,1)$$ and $$(5,0,1)$$ and $$R$$ be the point $$(2

View Question The co-ordinates of the point, where the line through $$A(3,4,1)$$ and $$B(5,1,6)$$ crosses the $$\mathrm{XZ}$$-plane, a

View Question The number of possible solutions of $$\sin \theta+\sin 4 \theta+\sin 7 \theta=0, \theta \in(0, \pi)$$ are

View Question If $$\mathrm{I}=\int \frac{\mathrm{d} x}{x^2\left(x^4+1\right)^{\frac{3}{4}}}$$, then $$\mathrm{I}$$ is

View Question If $$\bar{a}=\hat{i}+2 \hat{j}+\hat{k}, \bar{b}=\hat{i}-\hat{j}+\hat{k}, \bar{c}=\hat{i}+\hat{j}-\hat{k}$$, then a vecto

View Question The number of solutions of $$\tan x+\sec x=2 \cos x$$ in $$[0,2 \pi]$$ are

View Question If $$\int_\limits0^{\frac{1}{2}} \frac{x^2}{\left(1-x^2\right)^{\frac{3}{2}}} \mathrm{~d} x=\frac{\mathrm{k}}{6}$$, then

View Question General solution of the differential equation $$\cos x(1+\cos y) \mathrm{d} x-\sin y(1+\sin x) \mathrm{d} y=0$$ is

View Question If the line $$a x+b y+c=0$$ is a normal to the curve $$x y=1$$, then

View Question Let $$\bar{a}, \bar{b}, \bar{c}$$ be three non-zero vectors, such that no two of them are collinear and $$(\bar{a} \time

View Question If $$\mathrm{f}(x)=\mathrm{e}^x, \mathrm{~g}(x)=\sin ^{-1} x$$ and $$\mathrm{h}(x)=\mathrm{f}(\mathrm{g}(x))$$, then $$\

View Question The given circuit is equivalent to

View Question A kite is $$120 \mathrm{~m}$$ high and $$130 \mathrm{~m}$$ of string is out. If the kite is moving away horizontally at

View Question $$\mathrm{ABC}$$ is a triangle in a plane with vertices $$\mathrm{A}(2,3,5), \mathrm{B}(-1,3,2)$$ and $$\mathrm{C}(\lamb

View Question Three critics review a book. For the three critics the odds in favor of the book are $$2: 5, 3: 4$$ and $$4: 3$$ respect

View Question $$\mathrm{f}: \mathrm{R} \rightarrow \mathrm{R} ; \mathrm{g}: \mathrm{R} \rightarrow \mathrm{R}$$ are two functions such

View Question ## Physics

An open organ pipe having fundamental frequency (n) is in unison with a vibrating string. If the tube is dipped in water

View Question A graph of magnetic flux $$(\phi)$$ versus current (I) is plotted for four inductors A, B, C, D. Larger value of self in

View Question An electron accelerated through a potential difference '$$V_1$$' has a de-Broglie wavelength '$$\lambda$$'. When the pot

View Question In case of a stationary wave pattern which of the following statement is CORRECT?

View Question If 'I' is moment of inertia of a thin circular disc about an axis passing through the tangent of the disc and in the pla

View Question A parallel plate capacitor has plate area '$$\mathrm{A}$$' and separation between plates is '$$d$$'. It is charged to a

View Question The shortest wavelength in the Balmer series of hydrogen atom is equal to the shortest wavelength in the Brackett series

View Question If the length of stretched string is reduced by $$40 \%$$ and tension is increased by $$44 \%$$ then the ratio of final

View Question A square loop of area $$25 \mathrm{~cm}^2$$ has a resistance of $$10 \Omega$$. This loop is placed in a uniform magnetic

View Question Two capacitors $$\mathrm{C}_1=3 \mu \mathrm{F}$$ and $$\mathrm{C}_2=2 \mu \mathrm{F}$$ are connected in series across d.

View Question To obtain the truth-table shown, from the following logic circuit, the gate G should be

View Question An electric dipole consisting of two opposite charges of $$2 \times 10^{-6} \mathrm{C}$$ separated by a distance of $$3

View Question In insulators

View Question Seven identical discs each of mass $$M$$ and radius $$\mathrm{R}$$ are arranged in a hexagonal plane pattern so as to to

View Question A satellite moves in a stable circular orbit round the earth if (where $$\mathrm{V}_{\mathrm{H}}, \mathrm{V}_{\mathrm{c}

View Question The mean electrical energy density between plates of a charged air capacitor is (where $$\mathrm{q}=$$ charge on capacit

View Question A person is observing a bacteria through a compound microscope. For better observation and to improve its resolving powe

View Question The inductive reactance of a coil is '$$\mathrm{X}_{\mathrm{L}}$$'. If the inductance of a coil is tripled and frequency

View Question In the circuit shown the ratio of quality factor and the bandwidth is

View Question Water flows through a horizontal pipe at a speed '$$\mathrm{V}$$'. Internal diameter of the pipe is '$$\mathrm{d}$$'. If

View Question In Young's double slit experiment the separation between the slits is doubled without changing other setting of the expe

View Question A body is released from the top of a tower '$$\mathrm{H}$$' metre high. It takes $$t$$ second to reach the ground. The h

View Question There is a second's pendulum on the surface of earth. It is taken to the surface of planet whose mass and radius are twi

View Question Two long parallel wires carrying currents $$8 \mathrm{~A}$$ and $$15 \mathrm{~A}$$ in opposite directions are placed at

View Question A body of mass 200 gram is tied to a spring of spring constant $$12.5 \mathrm{~N} / \mathrm{m}$$, while other end of spr

View Question Which of the following is NOT involved in the formation of secondary rainbow?

View Question For a satellite orbiting around the earth in a circular orbit, the ratio of potential energy to kinetic energy at same h

View Question Maximum kinetic energy of photon is '$$E$$' when wavelength of incident radiation is '$$\lambda$$'. If wavelength of inc

View Question Consider the Doppler effect in two cases. In the first case, an observer moves towards a stationary source of sound with

View Question According to Curie's law in magnetism, the correct relation is ( $$\mathrm{M}=$$ magnetization in paramagnetic sample, $

View Question A double convex air bubble in water behaves as

View Question Three liquids have same surface tension and densities $$\rho_1, \rho_2$$, and $$\rho_3\left(\rho_1>\rho_2>\rho_3\right)$

View Question If a lighter body of mass '$$\mathrm{M}_1$$' and velocity '$$\mathrm{V}_1$$' and a heavy body (mass $$M_2$$ and velocity

View Question Electron of mass '$$\mathrm{m}$$' and charge '$$\mathrm{q}$$' is travelling with speed '$$v$$' along a circular path of

View Question In a series LR circuit, $$X_L=R$$, power factor is $$P_1$$. If a capacitor of capacitance $$C$$ with $$X_C=X_L$$ is adde

View Question If only $$1 \%$$ of total current is passed through a galvanometer of resistance '$$G$$' then the resistance of the shun

View Question A voltmeter of resistance $$150 \Omega$$ connected across a cell of e.m.f. $$3 \mathrm{~V}$$ reads $$2.5 \mathrm{~V}$$.

View Question Two conducting circular loops of radii '$$R_1$$' and '$$R_2$$' are placed in the same plane with their centres coincidin

View Question The average force applied on the walls of a closed container depends on $$T^x$$ where $$T$$ is the temperature of an ide

View Question A black body radiates maximum energy at wavelength '$$\lambda$$' and its emissive power is $$\mathrm{E}$$. Now due to ch

View Question A Carnot engine with efficiency $$50 \%$$ takes heat from a source at $$600 \mathrm{~K}$$. To increase the efficiency to

View Question The amplitude of a particle executing S.H.M. is $$3 \mathrm{~cm}$$. The displacement at which its kinetic energy will be

View Question A piece of metal at $$850 \mathrm{~K}$$ is dropped in to $$1 \mathrm{~kg}$$ water at $$300 \mathrm{~K}$$. If the equilib

View Question Heat energy is incident on the surface at the rate of X J/min . If '$$a$$' and '$$r$$' represent coefficient of absorpti

View Question Identify the mismatch out of the following.

View Question Two sources of light $$0.6 \mathrm{~mm}$$ apart and screen is placed at a distance of $$1.2 \mathrm{~m}$$ from them. A l

View Question The ratio of longest to shortest wavelength emitted in Paschen series of hydrogen atom is

View Question The height of liquid column raised in a capillary tube of certain radius when dipped in liquid '$$A$$' vertically is $$5

View Question A particle of mass '$$\mathrm{m}$$' is rotating along a circular path of radius '$$r$$' having angular momentum '$$L$$'.

View Question A sample of gas at temperature $$T$$ is adiabatically expanded to double its volume. The work done by the gas in the pro

View Question