MHT CET 2023 11th May Morning Shift

Paper was held on
Thu, May 11, 2023 3:30 AM

## Chemistry

Name the accelerator used to introduce network of crosslink in elastomer.

View Question Which of the following is a property of alkali metals?

View Question The IUPAC name of following compound is:

View Question If $$\mathrm{K}_{\mathrm{b}}$$ denote molal elevation constant of water, then boiling point of an aqueous solution conta

View Question Which metal halide from following has lowest ionic character ( $$\mathrm{M}=$$ metal atom)?

View Question Which among the following reagents is called as Hinsberg's reagent?

View Question Which among the following amines has highest value of $$\mathrm{pK}_{\mathrm{b}}$$ ?

View Question What is vapour pressure of a solution containing $$1 \mathrm{~mol}$$ of a nonvolatile solute in $$36 \mathrm{~g}$$ of wa

View Question Identify the product obtained when phenol is reacted with dilute nitric acid at low temperature.

View Question For an elementary reaction
$$2 \mathrm{~A}+\mathrm{B} \longrightarrow 3 \mathrm{C}$$
rate of appearance of $$\mathrm{C}$

View Question Which among the following alkenes is most stable?

View Question Identify a CORRECT formula for spin only magnetic moment.

View Question Which of the following salts turns red litmus blue in its aqueous solution?

View Question What is the value of increase in internal energy when system does $$8 \mathrm{~J}$$ of work on surrounding by supplying

View Question Benzonitrile on reduction with stannous chloride in presence of hydrochloric acid followed by acid hydrolysis forms:

View Question Which among the following is TRUE for isobaric process?

View Question Which among the following statements is TRUE about gammexane?

View Question Which of the following is primary allylic alcohol?

View Question Which of following is NOT correct about fructose?

View Question Which among following salts shows decrease in solubility with increase in temperature?

View Question Find the number of faradays of electricity required to produce $$45 \mathrm{~g}$$ of $$\mathrm{Al}$$ from molten $$\math

View Question Identify the reagent that confirms the presence of five $$-\mathrm{OH}$$ groups in glucose.

View Question What is the concentration of $$\mathrm{OH}^{-}$$ ion in a solution containing $$0.05 \mathrm{~M} \mathrm{~H}^{+}$$ ions?

View Question Which formula is used to calculate edge length in bcc structure?

View Question Identify the products of following reaction:

View Question What is the volume in $$\mathrm{dm}^3$$ occupied by $$3 \mathrm{~mol}$$ of ammonia gas at STP?

View Question Slope of the graph between $$\log \frac{[\mathrm{A}]_0}{[\mathrm{~A}]_{\mathrm{t}}}$$ (y axis) and time ( $$x$$ axis) fo

View Question What is total number of donor atoms in $$\left[\mathrm{Co}\left(\mathrm{H}_2 \mathrm{O}\right)\left(\mathrm{NH}_3\right)

View Question Which from following equations is used to express the angular momentum of an electron in a stationary state?

View Question Which emission transition series is obtained when electron jumps from $$\mathrm{n}_2=\infty$$ to $$\mathrm{n}_1=1$$ ?

View Question What is half life time of a first order reaction if initial conc. of reactant is $$0.01 \mathrm{~mol} \mathrm{~L}^{-1}$$

View Question Which among the following pairs of polymers contains both members as copolymers?

View Question What is atomic mass of an element with $$\mathrm{BCC}$$ structure and density $$10 \mathrm{~g} \mathrm{~cm}^{-3}$$ havin

View Question Oxidation state of manganese in potassium permanganate is:

View Question Which among following complexes is a neutral complex?

View Question Which among the following halogens combines readily with metals to form metal halides with highest ionic character?

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

View Question Identify physisorption from following.

View Question Identify the product of following reaction.
Benzoyl chloride $$\stackrel{\mathrm{H}_2 \mathrm{O}}{\longrightarrow}$$ pro

View Question What is IUPAC name of the compound?

View Question Calculate the $$\mathrm{pH}$$ of $$1.36 \times 10^{-2} \mathrm{M}$$ solution of perchloric acid.

View Question Which of the following formulae is used to determine compressibility factor for measurement of deviation from ideal beha

View Question The molar conductivity of $$0.02 \mathrm{~M} \mathrm{~AgI}$$ at $$298 \mathrm{~K}$$ is $$142.3 \Omega^{-1} \mathrm{~cm}^

View Question What is IUPAC name of following compound?

View Question Identify a molecule with incomplete octet from following.

View Question What is the number of unit cells present in a cubic pack crystal lattice having 4 atoms per unit cell and weighing $$0.6

View Question Identify 'A' in the following reaction.

View Question Which among the following is CORRECT formula for determination of cell constant?

View Question Identify the catalyst (A) used in following reaction.
$$\mathrm{CO}+\mathrm{H}_2 \mathrm{O} \stackrel{\mathrm{A}}{\right

View Question What is value of PV type of work for following reaction at 1 bar?
$$\underset{(200 \mathrm{~mL})}{\mathrm{C}_2 \mathrm{H

View Question ## Mathematics

$$\int\limits_0^\pi \frac{d x}{4+3 \cos x}=$$

View Question If $$y=\log _{\sin x} \tan x$$, then $$\left(\frac{\mathrm{d} y}{\mathrm{~d} x}\right)_{x=\frac{\pi}{4}}$$ has the value

View Question $$\lim _\limits{x \rightarrow 2}\left[\frac{1}{x-2}-\frac{2}{x^3-3 x^2+2 x}\right]$$ is equal to

View Question From a lot of 20 baskets, which includes 6 defective baskets, a sample of 2 baskets is drawn at random one by one withou

View Question If the angle between the lines represented by the equation $$x^2+\lambda x y-y^2 \tan ^2 \theta=0$$ is $$2 \theta$$, the

View Question Number of common tangents to the circles $$x^2+y^2-6 x-14 y+48=0$$ and $$x^2+y^2-6 x=0$$ are

View Question The left-hand derivative of $$\mathrm{f}(x)=[x] \sin (\pi x)$$, at $$x=\mathrm{k}, \mathrm{k}$$ is an integer and [.] is

View Question Let $$\mathrm{f}(x)=\int \frac{\sqrt{x}}{(1+x)^2} \mathrm{~d} x, x \geq 0$$, then $$\mathrm{f}(3)-\mathrm{f}(1)$$ is equ

View Question Value of $$c$$ satisfying the conditions and conclusions of Rolle's theorem for the function $$\mathrm{f}(x)=x \sqrt{x+6

View Question Three of six vertices of a regular hexagon are chosen at random. The probability that the triangle with these three vert

View Question If the direction cosines $$l, \mathrm{~m}, \mathrm{n}$$ of two lines are connected by relations $$l-5 \mathrm{~m}+3 \mat

View Question Let $$\mathrm{f}(x)=\log (\sin x), 0

View Question Five students are to be arranged on a platform such that the boy $$B_1$$ occupies the second position and such that the

View Question If the volume of the parallelopiped is $$158 \mathrm{~cu}$$. units whose coterminus edges are given by the vectors $$\ba

View Question Let $$\mathrm{f}(x)$$ be positive for all real $$x$$. If $$\mathrm{I}_1=\int_\limits{1-\mathrm{h}}^{\mathrm{h}} x \mathr

View Question The mirror image of the point $$(1,2,3)$$ in a plane is $$\left(-\frac{7}{3},-\frac{4}{3},-\frac{1}{3}\right)$$. Thus, t

View Question If $$\alpha=3 \sin ^{-1} \frac{6}{11}$$ and $$\beta=3 \cos ^{-1}\left(\frac{4}{9}\right)$$, where the inverse trigonomet

View Question $$\text { The value of } \sec ^2\left(\tan ^{-1} 2\right)+\operatorname{cosec}^2\left(\cot ^{-1} 3\right) \text { is }$$

View Question The value of $$\tan \left(\frac{\pi}{8}\right)$$ is _________.

View Question A plane is parallel to two lines, whose direction ratios are $$1,0,-1$$ and $$-1,1,0$$ and it contains the point $$(1,1,

View Question The domain of the function given by $$2^x+2^y=2$$ is

View Question If $$\mathrm{f}(x)=x \mathrm{e}^{x(1-x)}, x \in \mathrm{R}$$, then $$\mathrm{f}(x)$$ is

View Question The solution of the differential equation $$\frac{\mathrm{d} y}{\mathrm{~d} x}=\frac{1+y^2}{1+x^2}$$ is

View Question If $$\bar{a}, \bar{b}, \bar{c}$$ are three vectors such that $$\overline{\mathrm{a}} \cdot(\overline{\mathrm{b}}+\overli

View Question Let $$\bar{a}=2 \hat{i}+\hat{j}-2 \hat{k}$$ and $$\bar{b}=\hat{i}+\hat{j}$$. If $$\bar{c}$$ is a vector such that $$\ove

View Question $$\int_\limits{-1}^3\left(\cot ^{-1}\left(\frac{x}{x^2+1}\right)+\cot ^{-1}\left(\frac{x^2+1}{x}\right)\right) \mathrm{d

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

View Question If $$\mathrm{f}(x)=\left\{\begin{array}{ll}\frac{\sqrt{1+\mathrm{m} x}-\sqrt{1-\mathrm{m} x}}{x}, & -1 \leq x

View Question The area of the region bounded by the parabola $$y=x^2$$ and the curve $$y=|x|$$ is

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

View Question A binomial random variable $$\mathrm{X}$$ satisfies $$9. p(X=4)=p(X=2)$$ when $$n=6$$. Then $$p$$ is equal to

View Question If in $$\triangle \mathrm{ABC}$$, with usual notations, $$a \cdot \cos ^2 \frac{C}{2}+c \cos ^2 \frac{A}{2}=\frac{3 b}{2

View Question The lines $$\frac{x-1}{3}=\frac{y+1}{2}=\frac{z-1}{5} \quad$$ and $$\frac{x+2}{4}=\frac{y-1}{3}=\frac{z+1}{2}$$

View Question A curve passes through the point $$\left(1, \frac{\pi}{6}\right)$$. Let the slope of the curve at each point $$(x, y)$$

View Question For the following shaded area, the linear constraints except $$x,y \ge 0$$ are

View Question Let $$\omega \neq 1$$ be a cube root of unity and $$S$$ be the set of all non-singular matrices of the form $$\left[\beg

View Question The value of $$2 \tan ^{-1} \frac{1}{2}+\tan ^{-1} \frac{1}{7}$$

View Question $$\int \frac{\mathrm{e}^x(1+x)}{\cos ^2\left(\mathrm{e}^x \cdot x\right)} \mathrm{d} x=$$

View Question In a triangle $$\mathrm{ABC}$$, with usual notations, if $$\mathrm{m} \angle \mathrm{A}=60^{\circ}, \mathrm{b}=8, \mathr

View Question If variance of $$x_1, x_2 \ldots \ldots, x_n$$ is $$\sigma_x^2$$, then the variance of $$\lambda x_1, \lambda x_2, \ldot

View Question If $$\quad \overline{\mathrm{a}}=\hat{\mathrm{i}}+\hat{\mathrm{j}}, \quad \overline{\mathrm{b}}=2 \hat{\mathrm{j}}-\hat{

View Question If $$\mathrm{z}=x+\mathrm{i} y$$ and $$\mathrm{z}^{1 / 3}=\mathrm{p}+\mathrm{iq}$$, where $$x, y, \mathrm{p}, \mathrm{q}

View Question If $$\int \frac{\mathrm{d} x}{x \sqrt{1-x^3}}=\mathrm{k} \log \left(\frac{\sqrt{1-x^3}-1}{\sqrt{1-x^3}+1}\right)+\mathrm

View Question The statement pattern $$\mathrm{p} \rightarrow \sim(\mathrm{p} \wedge \sim \mathrm{q})$$ is equivalent to

View Question $$\mathrm{a}$$ and $$\mathrm{b}$$ are the intercepts made by a line on the co-ordinate axes. If $$3 \mathrm{a}=\mathrm{b

View Question Let $$\bar{a}, \bar{b}$$ and $$\bar{c}$$ be three unit vectors such that $$\bar{a} \times(\bar{b} \times \bar{c})=\frac{

View Question The vector equation of the line $$2 x+4=3 y+1=6 z-3$$ is

View Question If $$\overline{\mathrm{a}}$$ and $$\overline{\mathrm{b}}$$ are two unit vectors such that $$\overline{\mathrm{a}}+2 \ove

View Question $$\int \frac{\log (\cot x)}{\sin 2 x} d x=$$

View Question $$\text { If } y=\sqrt{\frac{1-\sin ^{-1}(x)}{1+\sin ^{-1}(x)}} \text {, then } \frac{\mathrm{d} y}{\mathrm{~d} x} \text

View Question ## Physics

A coil of radius '$$r$$' is placed on another coil (whose radius is $$\mathrm{R}$$ and current flowing through it is cha

View Question Two capillary tubes of the same diameter are kept vertically in two different liquids whose densities are in the ratio $

View Question Two spherical black bodies of radii '$$r_1$$' and '$$r_2$$' at temperature '$$\mathrm{T}_1$$' and '$$\mathrm{T}_2$$' res

View Question For a particle executing S.H.M., its potential energy is 8 times its kinetic energy at certain displacement '$$x$$' from

View Question The maximum kinetic energies of photoelectrons emitted are $$\mathrm{K}_1$$ and $$\mathrm{K}_2$$ when lights of waveleng

View Question A particle moves along a circular path with decreasing speed. Hence

View Question Identify the correct circuit diagrams for the normal operation from the following.

View Question With the gradual increase in frequency of an a. c. source, the impedance of an LCR series circuit

View Question In energy band diagram of insulators, a band gap and the conduction band is respectively

View Question Two positively charged identical spheres separated by a distance 'd' exert some force (F) on each other when they are ke

View Question A string fixed at both the ends forms standing wave with node separation of $$5 \mathrm{~cm}$$. If the velocity of the w

View Question A ball of mass '$$\mathrm{m}$$' is attached to the free end of a string of length '$$l$$'. The ball is moving in horizon

View Question Radius of gyration of a thin uniform circular disc about the axis passing through its centre and perpendicular to its pl

View Question When a current of $$1 \mathrm{~A}$$ is passed through a coil of 100 turns, the flux associated with it is $$2.5 \times 1

View Question A spherical liquid drop of radius $$\mathrm{R}$$ is divided into 8 equal droplets. If surface tension is $$\mathrm{S}$$,

View Question The rate of flow of heat through a metal rod with temperature difference $$40^{\circ} \mathrm{C}$$ is $$1600 \mathrm{~ca

View Question Two charges of equal magnitude '$$q$$' are placed in air at a distance '$$2 r$$' apart and third charge '$$-2 \mathrm{q}

View Question The size of the real image produced by a convex lens of focal length $$F$$ is '$$m$$' times the size of the object. The

View Question A double slit experiment is immersed in water of refractive index 1.33. The slit separation is $$1 \mathrm{~mm}$$, dista

View Question Potential difference between the points P and Q is nearly

View Question An electron in the hydrogen atom jumps from the first excited state to the ground state. What will be the percentage cha

View Question In series LCR circuit, the voltage across the inductance and the capacitance are not

View Question If the temperature of a hot body is increased by $$50 \%$$, then the increase in the quantity of emitted heat radiation

View Question The second overtone of an open pipe has the same frequency as the first overtone of a closed pipe of length '$$L$$'. The

View Question The radius of earth is $$6400 \mathrm{~km}$$ and acceleration due to gravity $$\mathrm{g}=10 \mathrm{~ms}^{-2}$$. For th

View Question A car sounding a horn of frequency $$1000 \mathrm{~Hz}$$ passes a stationary observer. The ratio of frequencies of the h

View Question The time period of a simple pendulum inside a stationary lift is '$$T$$'. When the lift starts accelerating upwards with

View Question The mutual inductance of a pair of coils, each of '$$N$$' turns, is '$$M$$' henry. If a current of '$$I$$' ampere in one

View Question To manufacture a solenoid of length $$1 \mathrm{~m}$$ and inductance $$1 \mathrm{~mH}$$, the length of thin wire require

View Question In a radioactive disintegration, the ratio of initial number of atoms to the number of atoms present at time $$t=\frac{1

View Question A bullet is fired on a target with velocity '$$\mathrm{V}$$'. Its velocity decreases from '$$\mathrm{V}$$' to '$$\mathrm

View Question In the experiment of diffraction due to a single slit, if the slit width is decreased, the width of the central maximum

View Question A cylindrical magnetic rod has length $$5 \mathrm{~cm}$$ and diameter $$1 \mathrm{~cm}$$. It has uniform magnetization $

View Question In biprism experiment, if $$5^{\text {th }}$$ bright band with wavelength $$\lambda_1^{\prime}$$ coincides with $$6^{\te

View Question A body of mass '$$\mathrm{m}$$' kg starts falling from a distance 3R above earth's surface. When it reaches a distance '

View Question In the case of NAND gate, if A and B are the inputs and $$\mathrm{Y}$$ is the output then

View Question A monoatomic gas at pressure '$$\mathrm{P}$$', having volume '$$\mathrm{V}$$' expands isothermally to a volume '$$2 \mat

View Question In potentiometer experiments, two cells of e. m. f. '$$E_1$$' and '$$E_2$$' are connected in series $$\left(E_1>E_2\righ

View Question A diatomic gas $$\left(\gamma=\frac{7}{5}\right)$$ is compressed adiabatically to volume $$\frac{V_i}{32}$$ where $$V_i$

View Question A disc has mass $$M$$ and radius $$R$$. How much tangential force should be applied to the rim of the disc, so as to rot

View Question An electron moving with velocity $$1.6 \times 10^7 \mathrm{~m} / \mathrm{s}$$ has wavelength of $$0.4 \mathop A\limits^o

View Question The prism has refracting angle '$$\mathrm{A}$$'. The second refracting surface of the prism is silvered. Light ray falli

View Question Two parallel wires of equal lengths are separated by a distance of $$3 \mathrm{~m}$$ from each other. The currents flowi

View Question Three point charges $$+\mathrm{q},+2 \mathrm{q}$$ and $$+\mathrm{Q}$$ are placed at the three vertices of an equilateral

View Question If a gas is compressed isothermally then the r.m.s. velocity of the molecules

View Question The bob of a simple pendulum of length '$$L$$' has a mass '$$\mathrm{m}$$' and charge '$$\mathrm{q}$$'. The pendulum is

View Question An electron is projected along the axis of circular conductor carrying current I. Electron will experience

View Question Two identical capacitors have the same capacitance '$$C$$'. One of them is charged to a potential $$V_1$$ and the other

View Question A transverse wave $$\mathrm{Y}=2 \sin (0.01 \mathrm{x}+30 \mathrm{t})$$ moves on a stretched string from one end to anot

View Question A body of density '$$\rho$$' is dropped from rest at a height '$$h$$' into a lake of density '$$\sigma' (\sigma>\rho)$$.

View Question