MHT CET 2023 13th May Morning Shift

Paper was held on
Sat, May 13, 2023 3:30 AM

## Chemistry

Identify cationic sphere complex from following.

View Question Identify substrate '$$\mathrm{A}$$' in the following conversion.
$$\mathrm{A}+\underset{\text { (excess) }}{\mathrm{CH}_

View Question Identify FALSE statement regarding adsorption from following.

View Question Find the rate of formation of $$\mathrm{NO}_{2(\mathrm{~g})}$$ in the following reaction.
$$\begin{aligned}
& 2 \mathrm{

View Question Which from following properties is exhibited by group 2 elements?

View Question Calculate the rate constant of the first order reaction if $$20 \%$$ of the reactant decomposes in 15 minutes.

View Question Which from following methods of structural formula representation uses conventionally a point for front carbon and a cir

View Question Identify substrate '$$\mathrm{A}$$' in the following sequence of reactions.
A $$\mathrm{\mathrel{\mathop{\kern0pt\longri

View Question Which of the following is tertiary benzylic alcohol?

View Question Which among the following is a feature of $$\mathrm{S}_{\mathrm{N}} 1$$ mechanism?

View Question The volume of a gas is $$4 \mathrm{~dm}^3$$ at $$0^{\circ} \mathrm{C}$$. Calculate new volume at constant pressure when

View Question Which following reagent is used in Etard reaction?

View Question Which of the following processes exhibits increase in internal energy?

View Question Calculate $$\mathrm{E}_{\text {cell }}^0$$ if the equilibrium constant for following reaction is $$1.2 \times 10^6$$.
$$

View Question Which from following alloys is used to make statues?

View Question Which of the following molecules does NOT obey octet rule?

View Question Calculate van't Hoff factor of $$\mathrm{K}_2 \mathrm{SO}_4$$ if $$0.1 \mathrm{~m}$$ aqueous solution of $$\mathrm{K}_2

View Question Find the radius of fourth orbit of hydrogen atom if its radius of first orbit is $$\mathrm{R}$$ pm.

View Question Which noble gas element from following exhibits highest number of different oxidation states?

View Question Which among the following is a pair of monocarboxylic acids?

View Question Identify the overall oxidation reaction that occurs in lead storage cell during discharge.

View Question What is the change in oxidation number of selenium in the following redox reaction?
$$\mathrm{SeO}_{3(\text { (a) })}^{2

View Question A buffer solution is prepared by mixing equimolar acetic acid and sodium acetate. If '$$\mathrm{K}_d$$' of acetic acid i

View Question What is the number of moles of nascent hydrogen required to prepare 1 mole of methane from iodomethane?

View Question Which from following metal has hcp crystal structure?

View Question One mole of an ideal gas performs $$900 \mathrm{~J}$$ of work on surrounding. If internal energy increases by $$625 \mat

View Question Which of the following temperature values in Fahrenheit $$\left({ }^{\circ} \mathrm{F}\right)$$ is equal to $$50^{\circ}

View Question Which from following formulae is of trioxalatocobaltate(III) ion?

View Question Which of the following pair of nuclides is an example of isotones?

View Question Identify FALSE statement from following.

View Question What is IUPAC name of crotonyl alcohol?

View Question A solution of $$5.6 \mathrm{~g}$$ non-volatile solute in $$50 \mathrm{~g}$$ solvent has elevation in boiling point $$1.7

View Question What is the common name of benzene-1,3-diol?

View Question Identify the CORRECT decreasing order of basic strength of compounds from following.

View Question Calculate the work done in the following reaction at $$300 \mathrm{~K}$$ and at constant pressure.
$$\left(\mathrm{R}=8.

View Question The solubility product of $$\mathrm{Mg}(\mathrm{OH})_2$$ is $$1.8 \times 10^{-11}$$ at $$298 \mathrm{~K}$$. What is its

View Question If $$\mathrm{K}_{\mathrm{sp}}$$ is solubility product of $$\mathrm{Al}(\mathrm{OH})_3$$, its solubility is expressed by

View Question Which from following is the slope of the graph of $$[\mathrm{A}]_{\mathrm{t}}$$ versus time for zero order reaction?

View Question Which from following statements is NOT true about natural rubber?

View Question What is the molal elevation constant if one gram mole of a nonvolatile solute is dissolved in $$1 \mathrm{~kg}$$ of ethy

View Question Which from following elements exhibits ferromagnetic properties?

View Question Which of the following is NOT a globular protein?

View Question Calculate the time required in second to deposit $$6.35 \mathrm{~g}$$ copper from its salt solution by passing 5 ampere

View Question Which from following nanomaterial has one dimension less than $$100 \mathrm{~nm}$$ ?

View Question Which among the following compounds has highest boiling point?

View Question Calculate the radius of metal atom in bcc unit cell having edge length $$287 \mathrm{~pm}$$.

View Question Identify A in the following reaction.
$$\mathrm{{C_6}{H_{12}}{O_6}\mathrel{\mathop{\kern0pt\longrightarrow}
\limits_{dil

View Question Which of the following is formed when propene is heated with chlorine at high temperature?

View Question Identify the monomer used to prepare Teflon.

View Question Calculate the number of atoms present in unit cell if an element having molar mass $$23 \mathrm{~g} \mathrm{~mol}^{-1}$$

View Question ## Mathematics

If $$\mathrm{f}(x)=x^3+\mathrm{b} x^2+\mathrm{c} x+\mathrm{d}$$ and $$0

View Question Differentiation of $$\tan ^{-1}\left(\frac{\sqrt{1+x^2}-1}{x}\right)$$ w.r.t. $$\cos ^{-1}\left(\sqrt{\frac{1+\sqrt{1+x^

View Question The function $$\mathrm{f}(\mathrm{t})=\frac{1}{\mathrm{t}^2+\mathrm{t}-2}$$ where $$\mathrm{t}=\frac{1}{x-1}$$ is discon

View Question A random variable $$X$$ has the following probability distribution
.tg {border-collapse:collapse;border-spacing:0;}
.t

View Question If $$\mathrm{I}=\int \frac{2 x-7}{\sqrt{3 x-2}} \mathrm{~d} x$$, then $$\mathrm{I}$$ is given by

View Question Let $$\mathrm{X}$$ be random variable having Binomial distribution $$B(7, p)$$. If $$P[X=3]=5 P[X=4]$$, then variance of

View Question The scalar product of vectors $$\overline{\mathrm{a}}=\hat{\mathrm{i}}+2 \hat{\mathrm{j}}+\hat{\mathrm{k}}$$ and a unit

View Question $$\int \frac{\log \left(x^2+a^2\right)}{x^2} d x=$$

View Question The parametric equations of the curve $$x^2+y^2+a x+b y=0$$ are

View Question The sides of a triangle are three consecutive natural numbers and its largest angle is twice the smallest one, then the

View Question $$x, y, z$$ are in G.P. and $$\tan ^{-1} x, \tan ^{-1} y, \tan ^{-1} z$$ are in A.P., then

View Question In $$\triangle A B C$$ with usual notation, $$\frac{\cos A}{a}=\frac{\cos B}{b}=\frac{\cos C}{c}$$ and $$a=\frac{1}{\sqr

View Question If $$\hat{\mathrm{a}}$$ and $$\hat{\mathrm{b}}$$ are unit vectors and $$\overline{\mathrm{c}}=\hat{\mathrm{b}}-(\hat{\ma

View Question Angles of a triangle are in the ratio $$4: 1: 1$$. Then the ratio of its greatest side to its perimeter is

View Question If a continuous random variable $$\mathrm{X}$$ has probability density function $$\mathrm{f}(x)$$ given by
$$f(x)=\left\

View Question The value of $$\begin{aligned} \cos \left(18^{\circ}-\mathrm{A}\right) \cdot \cos ( & \left.18^{\circ}+\mathrm{A}\right)

View Question If $$\int x^5 e^{-4 x^3} \mathrm{~d} x=\frac{1}{48} \mathrm{e}^{-4 x^3} \mathrm{f}(x)+\mathrm{c}$$, where $$\mathrm{c}$$

View Question The solution of the differential equation $$\mathrm{e}^{-x}(y+1) \mathrm{d} y+\left(\cos ^2 x-\sin 2 x\right) y \mathrm{

View Question If $$A=\left[\begin{array}{ccc}1 & 2 & 3 \\ -1 & 1 & 2 \\ 1 & 2 & 4\end{array}\right]$$ and $$A_{i j}$$ is a cofactor of

View Question Rate of increase of bacteria in a culture is proportional to the number of bacteria present at that instant and it is fo

View Question The slope of the normal to the curve $$x=\sqrt{t}$$ and $$y=t-\frac{1}{\sqrt{t}}$$ at $$t=4$$ is

View Question If $$3 \mathrm{f}(x)-\mathrm{f}\left(\frac{1}{x}\right)=8 \log _2 x^3, x>0$$, then $$\mathrm{f}(2), \mathrm{f}(4)$$, $$f

View Question If the angle between the lines given by $$x^2-3 x y+\lambda y^2+3 x-5 y+2=0 ; \lambda \geq 0$$ is $$\tan ^{-1}\left(\fra

View Question A line drawn from the point $$\mathrm{A}(1,3,2)$$ parallel to the line $$\frac{x}{2}=\frac{y}{4}=\frac{z}{1}$$, intersec

View Question The value of $$\frac{\mathrm{i}^{248}+\mathrm{i}^{246}+\mathrm{i}^{244}+\mathrm{i}^{242}+\mathrm{i}^{240}}{\mathrm{i}^{2

View Question If $$\mathrm{f}(x)=\int \frac{x^2 \mathrm{~d} x}{\left(1+x^2\right)\left(1+\sqrt{1+x^2}\right)}$$ and $$\mathrm{f}(0)=0$

View Question A line $$\mathrm{L}_1$$ passes through the point, whose p. v. (position vector) $$3 \hat{i}$$, is parallel to the vector

View Question If $$y=\tan ^{-1}\left(\frac{4 \sin 2 x}{\cos 2 x-6 \sin ^2 x}\right)$$, then $$\left(\frac{\mathrm{d} y}{\mathrm{~d} x}

View Question The expression $$(p \wedge \sim q) \vee q \vee(\sim p \wedge q)$$ is equivalent to

View Question The raw data $$x_1, x_2, \ldots \ldots, x_{\mathrm{n}}$$ is an A.P. with common difference $$\mathrm{d}$$ and first term

View Question The particular solution of differential equation $$\mathrm{e}^{\frac{d y}{d x}}=(x+1), y(0)=3$$ is

View Question A card is drawn at random from a well shuffled pack of 52 cards. The probability that it is black card or face card is

View Question If $$\bar{a}=2 \hat{i}+3 \hat{j}-4 \hat{k}$$ and $$\bar{b}=\hat{i}-\hat{j}-\hat{k}$$, then the projection of $$\bar{b}$$

View Question If $$\mathrm{f}(x)=\left\{\begin{array}{ll}\mathrm{e}^{\cos x} \sin x & , \text { for }|x| \leq 2 \\ 2, & \text { otherw

View Question The equation of the line passing through the point $$(-1,3,-2)$$ and perpendicular to each of the lines $$\frac{x}{1}=\f

View Question Let $$\mathrm{f}: \mathrm{R} \rightarrow \mathrm{R}$$ be a function such that $$\mathrm{f}(x)=x^3+x^2 \mathrm{f}^{\prime

View Question If $$A(1,4,2)$$ and $$C(5,-7,1)$$ are two vertices of triangle $$A B C$$ and $$G\left(\frac{4}{3}, 0, \frac{-2}{3}\right

View Question The base of an equilateral triangle is represented by the equation $$2 x-y-1=0$$ and its vertex is $$(1,2)$$, then the l

View Question Five persons $$\mathrm{A}, \mathrm{B}, \mathrm{C}, \mathrm{D}$$ and $$\mathrm{E}$$ are seated in a circular arrangement.

View Question The distance of the point $$(-1,-5,-10)$$ from the point of intersection of the line $$\frac{x-2}{3}=\frac{y+1}{4}=\frac

View Question Negation of inverse of the following statement pattern $$(p \wedge q) \rightarrow(p \vee \sim q)$$ is

View Question If $$\mathrm{f}(x)=3 x^{10}-7 x^8+5 x^6-21 x^3+3 x^2-7$$, then $$\lim _\limits{\alpha \rightarrow 0} \frac{f(1-\alpha)-f

View Question The area (in sq. units) of the region bounded by curves $$y=3 x+1, y=4 x+1$$ and $$x=3$$ is

View Question Values of $$c$$ as per Rolle's theorem for $$f(x)=\sin x+\cos x+6$$ on $$[0,2 \pi]$$ are

View Question A vector $$\bar{a}$$ has components 1 and $$2 p$$ with respect to a rectangular Cartesian system. This system is rotated

View Question A line is drawn through the point $$(1,2)$$ to meet the co-ordinate axes at $$\mathrm{P}$$ and $$\mathrm{Q}$$ such that

View Question If feasible region is as shown in the figure, then related inequalities are

View Question The general solution of the equation $$3 \sec ^2 \theta=2 \operatorname{cosec} \theta$$ is

View Question A right circular cone has height $$9 \mathrm{~cm}$$ and radius of base $$5 \mathrm{~cm}$$. It is inverted and water is p

View Question If $$\theta$$ is angle between the vectors $$\bar{a}$$ and $$\bar{b}$$ where $$|\bar{a}|=4,|\bar{b}|=3$$ and $$\theta \i

View Question ## Physics

Select the 'WRONG' statement out of the following.

View Question Two cells $$E_1$$ and $$E_2$$ having equal EMF '$$E$$' and internal resistances $$r_1$$ and $$r_2\left(r_1>r_2\right)$$

View Question Which one of the following represents correctly the variation of volume (V) of an ideal gas with temperature $$(\mathrm{

View Question Using variation of force and time given below, final velocity of a particle of mass $$2 \mathrm{~kg}$$ moving with initi

View Question $$\mathrm{dQ}$$ is the heat energy supplied to an ideal gas under isochoric conditions. If $$\mathrm{dU}$$ and $$\mathrm

View Question A black body at temperature $$127^{\circ} \mathrm{C}$$ radiates heat at the rate of $$5 \mathrm{~cal} / \mathrm{cm}^2 \m

View Question The following graph represents

View Question A rigid body rotates with an angular momentum L. If its rotational kinetic energy is made four times, its angular moment

View Question A radioactive sample has half-life of 5 years. The percentage of fraction decayed in 10 years will be

View Question Three coils of inductance $$\mathrm{L}_1=2 \mathrm{H}, \mathrm{L}_2=3 \mathrm{H}$$ and $$\mathrm{L}_3=6 \mathrm{H}$$ are

View Question A Carnot engine has the same efficiency between (i) $$100 \mathrm{~K}$$ and $$600 \mathrm{~K}$$ and (ii) $$\mathrm{T} \m

View Question For which of the following substances, the magnetic susceptibility is independent of temperature?

View Question When a light of wavelength $$300 \mathrm{~nm}$$ fall on a photoelectric emitter, photo electrons are emitted. For anothe

View Question In a given meter bridge, the current flowing through $$40 \Omega$$ resistor is

View Question A body of mass $$0.04 \mathrm{~kg}$$ executes simple harmonic motion (SHM) about $$\mathrm{x}=0$$ under the influence of

View Question A large number of water droplets each of radius '$$t$$' combine to form a large drop of Radius '$$R$$'. If the surface t

View Question In resonance tube, first and second resonance are obtained at depths $$22.7 \mathrm{~cm}$$ and $$70.2 \mathrm{~cm}$$ res

View Question Twenty seven droplets of water each of radius $$0.1 \mathrm{~mm}$$ merge to form a single drop then the energy released

View Question If two inputs of a NAND gate are shorted, the resulting gate is

View Question Venturimeter is used to

View Question Which of the following statements is 'WRONG' for the conductors?

View Question A circular coil of radius '$$r$$' and number of turns ' $n$ ' carries a current '$$I$$'. The magnetic fields at a small

View Question A spherical surface of radius of curvature '$$R$$' separates air from glass of refractive index 1.5. The centre of curva

View Question The rotational kinetic energy and translational kinetic energy of a rolling body are same, the body is

View Question Two concentric circular coils A and B have radii $$20 \mathrm{~cm}$$ and $$10 \mathrm{~cm}$$ respectively lie in the sam

View Question A charged spherical conductor of radius '$$R$$' is connected momentarily to another uncharged spherical conductor of rad

View Question The magnet is moved towards the coil with speed '$$\mathrm{V}$$'. The induced e.m.f. in the coil is '$$\mathrm{e}$$'. Th

View Question A uniform wire $$20 \mathrm{~m}$$ long and weighing $$50 \mathrm{~N}$$ hangs vertically. The speed of the wave at mid po

View Question A large number of bullets are fired in all directions with same speed '$$U$$'. The maximum area on the ground on which t

View Question A transformer has 20 turns in the primary and 100 turns in the secondary coil. An ac voltage of $$\mathrm{V}_{\text {in

View Question On increasing the reverse bias to a large value in a P-N junction diode, current

View Question For an ideal gas the density of the gas is $$\rho_0$$ when temperature and pressure of the gas are $$T_0$$ and $$P_0$$ r

View Question The temperature gradient in a rod of length $$75 \mathrm{~cm}$$ is $$40^{\circ} \mathrm{C} / \mathrm{m}$$. If the temper

View Question In an oscillating LC circuit, the maximum charge on the capacitor is '$$Q$$'. When the energy is stored equally between

View Question A body of mass '$$\mathrm{m}$$' is raised through a height above the earth's surface so that the increase in potential e

View Question With increase in frequency of a.c. supply, the impedance of an L-C-R series circuit

View Question A passenger is sitting in a train which is moving fast. The engine of the train blows a whistle of frequency '$$n$$'. If

View Question If the magnitude of intensity of electric field at a distance '$$r_1$$' on an axial line and at a distance '$$r_2$$' on

View Question In an a.c. circuit the instantaneous current and emf are represented as $$\mathrm{I}=\mathrm{I}_0, \sin [\omega \mathrm{

View Question In a biprism experiment, monochromatic light of wavelength '$$\lambda$$' is used. The distance between two coherent sour

View Question Three charges each of value $$+q$$ are placed at the corners of an isosceles triangle $$\mathrm{ABC}$$ of sides $$\mathr

View Question Light of frequency 1.5 times the threshold frequency is incident on photosensitive material. If the frequency is halved

View Question A solid cylinder of mass $$3 \mathrm{~kg}$$ is rolling on a horizontal surface with velocity $$4 \mathrm{~m} / \mathrm{s

View Question Which one of the following statements is Wrong?

View Question The fundamental frequency of a sonometer wir carrying a block of mass '$$M$$' and density '$$\rho$$' is '$$n$$' Hz. When

View Question A simple pendulum has a time period '$$T$$' in air. Its time period when it is completely immersed in a liquid of densit

View Question Array of light is incident at an angle of incidence '$$i$$' on one surface of a prism of small angle $$\mathrm{A}$$ and

View Question An isotope of the original nucleus can be formed in a radioactive decay, with the emission of following particles.

View Question If two identical spherical bodies of same material and dimensions are kept in contact, the gravitational force between t

View Question $$\mathrm{A}$$ and $$\mathrm{B}$$ are two interfering sources where $$\mathrm{A}$$ is ahead in phase by $$54^{\circ}$$ r

View Question