MHT CET 2023 14th May Evening Shift

Paper was held on
Sun, May 14, 2023 9:30 AM

## Chemistry

Which of the following is a structural formula of DDT?

View Question Which among the following is haloalkyne?

View Question What type of peptide is the glycylalanine?

View Question What is Henry's law constant of a gas if solubility of gas in water at $$25^{\circ} \mathrm{C}$$ is $$0.028 \mathrm{~mol

View Question Calculate the rate constant of the first order reaction if $$80 \%$$ of the reactant decomposes in 60 minutes.

View Question Which from following polymers is classified fibres depending on inter molecular forces?

View Question Calculate the frequency if wavelength is $$750 \mathrm{~nm}$$.

View Question Calculate the edge length of bcc unit cell if radius of metal atom is $$227 \mathrm{~pm}$$.

View Question Identify the compound '$$\mathrm{A}$$' in the following sequence of reactions.
$$\text { A } \xrightarrow[\text { Dryeth

View Question A solution of nonvolatile solute is obtained by dissolving $$15 \mathrm{~g}$$ in $$200 \mathrm{~mL}$$ water has depressi

View Question For a reaction $$\mathrm{A}+\mathrm{B} \rightarrow$$ products $$\Delta \mathrm{H}$$ is $$-84.2 \mathrm{~kJ}$$ and $$\Del

View Question The solubility product of $$\mathrm{PbCl}_2$$ at $$298 \mathrm{~K}$$ is $$3.2 \times 10^{-5}$$. What is its solubility i

View Question Which among the following elements does NOT exhibit ferromagnetic properties?

View Question Which of the following is a secondary allylic alcohol?

View Question Which from following elements is in liquid state at room temperature?

View Question Identify major product formed in the following reaction.
3-Bromo-2-methylpentane $$\xrightarrow[\Delta]{\text { Alc.KOH

View Question What is molecular formula of cyclohexylamine?

View Question Identify base$$_2$$ for following equation according to Bronsted-Lowry theory.
$$\mathrm{HCl}_{(\mathrm{aq})}+\mathrm{H}

View Question Which of the following is Clemmensen reduction?

View Question Which of the following gases is readily adsorbed by solid adsorbent?

View Question Which from following is an example of two dimensional nanostructures?

View Question A conductivity cell containing $$0.001 \mathrm{~M} \mathrm{~AgNO}_3$$ solution develops resistance $$6530 \mathrm{ohm}$$

View Question What is the number of $$\mathrm{sp}^3$$ hybrid carbon atoms in $$\mathrm{HO}\left(\mathrm{CH}_2\right)_3 \mathrm{CH}\lef

View Question Which from following thermodynamic properties is a path function?

View Question Which among the following species is reduced by tin easily?

View Question Which from following combinations is an example for construction of n-type semiconductor?

View Question Calculate the density of metal having molar mass $$210 \mathrm{~g} \mathrm{~mol}^{-1}$$ that forms simple cubic unit cel

View Question Which element from following rapidly loses its luster in air and tarnishes?

View Question A neon-dioxygen mixture contains $$64 \mathrm{~g} \mathrm{~O}_2$$ and $$160 \mathrm{~g} \mathrm{~Ne}$$. If the total pre

View Question Identify anionic sphere complex from following.

View Question What is the number of moles of ethane obtained from $$2 n$$ moles of bromomethane using $$2 n$$ moles of sodium atoms in

View Question Calculate $$\mathrm{E}_{\text {cell }}^0$$ for $$\mathrm{Cd}_{(\mathrm{s})}\left|\mathrm{Cd}_{(\mathrm{1M})}^{++}\right|

View Question Find the number of unpaired electrons for copper in ground state configuration.

View Question Identify the element having highest ionization enthalpy.

View Question What is the oxidation number of $$\mathrm{Pt}$$ in $$\mathrm{PtCl}_6^{2-}$$ ?

View Question What is the value of rate constant for first order reaction if slope for the graph of rate versus concentration is $$2.5

View Question An organic monobasic acid has dissociation constant $$2.25 \times 10^{-6}$$. What is percent dissociation in its $$0.01

View Question Which of the following pair of compounds demonstrates the law of multiple proportions?

View Question Which of the following amines on heating with chloroform generate foul smelling product?

View Question The rate law for the reaction $$\mathrm{A}+\mathrm{B} \rightarrow$$ product is rate $$=\mathrm{k}[\mathrm{A}][\mathrm{B}

View Question What is IUPAC name of following compound?

View Question Identify substrate 'A' in the following reaction.
2nA $$\mathrm{\buildrel {Dimethyl\,cadmium} \over
\longrightarrow}$$

View Question Which of the following is NOT a basic amino acid?

View Question Calculate the PV type of work for the following reaction at 1 bar pressure.
$$\mathrm{\mathop {{C_3}{H_{6(g)}}}\limits_{

View Question Which among the following is NOT dicarboxylic acid?

View Question Identify the element having positive electron gain enthalpy.

View Question Identify the use of HDP from following.

View Question Which coordination complex from following contains neutral ligand?

View Question What type of following solutions is the gasoline?

View Question What is formal charge on carbon in the following Lewis structure?
Image

View Question ## Mathematics

Let $$z \in C$$ with $$\operatorname{Im}(z)=10$$ and it satisfies $$\frac{2 z-n}{2 z+n}=2 i-1, i=\sqrt{-1}$$ for some na

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 $$\bar

View Question If both mean and variance of 50 observations $$x_1, x_2, \ldots, x_{50}$$ are equal to 16 and 256 respectively, then mea

View Question If the statement $$\mathrm{p} \leftrightarrow(\mathrm{q} \rightarrow \mathrm{p})$$ is false, then true statement/stateme

View Question If $$|\bar{a}|=2,|\bar{b}|=3,|\bar{c}|=5$$ and each of the angles between the vectors $$\bar{a}$$ and $$\bar{b}, \bar{b}

View Question The shaded region in the following figure represents the solution set for a certain linear programming problem. Then lin

View Question The function $\mathrm{f}$ defined on $$\left(-\frac{1}{3}, \frac{1}{3}\right)$$ by
$$\mathrm{f}(x)=\left\{\begin{array}{

View Question The mirror image of $$\mathrm{P}(2,4,-1)$$ in the plane $$x-y+2 z-2=0$$ is $$(\mathrm{a}, \mathrm{b}, \mathrm{c})$$, the

View Question If the slope of the tangent of the curve at any point is equal to $$-y+\mathrm{e}^{-x}$$, then the equation of the curve

View Question If $$A=\left[\begin{array}{ll}1 & -1 \\ 2 & -1\end{array}\right], B=\left[\begin{array}{cc}1 & 1 \\ 4 & -1\end{array}\ri

View Question The function $$\mathrm{f}(x)=x^3-6 x^2+9 x+2$$ has maximum value when $$x$$ is

View Question If $$I_n=\int_\limits0^{\frac{\pi}{4}} \tan ^n \theta d \theta$$, then $$I_{12}+I_{10}=$$

View Question The centre of the circle whose radius is 3 units and touching internally the circle $$x^2+y^2-4 x-6 y-12=0$$ at the poin

View Question A fair die with numbers 1 to 6 on their faces is thrown. Let $$\mathrm{X}$$ denote the number of factors of the number,

View Question Let $$\overline{\mathrm{u}}, \overline{\mathrm{v}}$$ and $$\overline{\mathrm{w}}$$ be the vectors such that $$|\overline

View Question If $$y=4 x-5$$ is a tangent to the curve $$y^2=\mathrm{p} x^3+\mathrm{q}$$ at $$(2,3)$$, then $$\mathrm{p}-\mathrm{q}$$

View Question If $$x=\sqrt{\mathrm{e}^{\sin ^{-1} t}}$$ and $$y=\sqrt{\mathrm{e}^{\cos ^{-1} t}}$$, then $$\frac{\mathrm{d}^2 y}{\math

View Question If $$\sum_\limits{r=1}^{50} \tan ^{-1} \frac{1}{2 r^2}=p$$ then $$\tan p$$ is

View Question The value of $$\int \mathrm{e}^x\left(\frac{x^2+4 x+4}{(x+4)^2}\right) \mathrm{d} x$$ is :

View Question The diagonal of a square is changing at the rate of $$0.5 \mathrm{~cm} / \mathrm{sec}$$. Then the rate of change of area

View Question Let $$\bar{a}=\hat{i}+2 \hat{j}-\hat{k}$$ and $$\bar{b}=\hat{i}+\hat{j}-\hat{k}$$ be two vectors. If $$\bar{c}$$ is a ve

View Question Let $$P \equiv(-3,0), Q \equiv(0,0)$$ and $$R \equiv(3,3 \sqrt{3})$$ be three points. Then the equation of the bisector

View Question If in a regular polygon, the number of diagonals are 54, then the number of sides of the polygon are

View Question Let $$x_0$$ be the point of local minima of $$\mathrm{f}(x)=\overline{\mathrm{a}} \cdot(\overline{\mathrm{b}} \times \ov

View Question If a body cools from $$80^{\circ} \mathrm{C}$$ to $$50^{\circ} \mathrm{C}$$ in the room temperature of $$25^{\circ} \mat

View Question If $$f(a)=2, f^{\prime}(a)=1, g(a)=-1, g^{\prime}(a)=2$$, then as $$x$$ approaches a, $$\frac{\mathrm{g}(x) \mathrm{f}(\

View Question The differential equation representing the family of curves $$y^2=2 \mathrm{c}(x+\sqrt{\mathrm{c}})$$, where $$\mathrm{c

View Question If $$\cos ^{-1} x-\cos ^{-1} \frac{y}{3}=\alpha$$, where $$-1 \leq x \leq 1$, $-3 \leq y \leq 3, x \leq \frac{y}{3}$$, t

View Question In a triangle $$\mathrm{A B C, m \angle A, m \angle B, m \angle C}$$ are in A.P. and lengths of two larger sides are 10

View Question The value of $$\tan ^{-1}\left(\frac{1}{8}\right)+\tan ^{-1}\left(\frac{1}{2}\right)+\tan ^{-1}\left(\frac{1}{5}\right)$

View Question The p.m.f. of a random variable $$\mathrm{X}$$ is $$\mathrm{P}(x)=\left\{\begin{array}{cl}\frac{2 x}{\mathrm{n}(\mathrm{

View Question If the lines $$\frac{x-\mathrm{k}}{2}=\frac{y+1}{3}=\frac{\mathrm{z}-1}{4}$$ and $$\frac{x-3}{1}=\frac{y-\frac{9}{2}}{2}

View Question If $$|\vec{a}|=3 ;|\vec{b}|=5 ; \bar{b} \cdot \bar{c}=10$$, angle between $$\overline{\mathrm{b}}$$ and $$\overline{\mat

View Question If $$\int \frac{x^2}{\sqrt{1-x}} \mathrm{~d} x=\mathrm{p} \sqrt{1-x}\left(3 x^2+4 x+8\right)+\mathrm{c}$$ where $$\mathr

View Question The centroid of the triangle formed by the lines $$x+3 y=10$$ and $$6 x^2+x y-y^2=0$$ is

View Question The statement $$[\mathrm{p} \wedge(\mathrm{q} \vee \mathrm{r})] \vee[\sim \mathrm{r} \wedge \sim \mathrm{q} \wedge \math

View Question If $$\mathrm{f}(x)=\frac{2 x-3}{3 x-4}, x \neq \frac{4}{3}$$, then the value of $$\mathrm{f}^{-1}(x)$$ is

View Question If $$\mathrm{f}^{\prime}(x)=\sin (\log x)$$ and $$y=\mathrm{f}\left(\frac{2 x+3}{3-2 x}\right)$$, then $$\frac{\mathrm{d

View Question The area bounded by the curve $$y=|x-2|, x=1, x=3$$ and $$X$$-axis is

View Question $$\int \frac{\mathrm{d} x}{\cot ^2 x-1}=\frac{1}{\mathrm{~A}} \log |\sec 2 x+\tan 2 x|-\frac{x}{\mathrm{~B}}+\mathrm{c}$

View Question There are 6 positive and 8 negative numbers. From these four numbers are chosen at random and multiplied. Then the proba

View Question If $$\mathrm{a} \cos 2 \theta+\mathrm{b} \sin 2 \theta=\mathrm{c}$$ has $$\alpha$$ and $$\beta$$ as its roots, then the

View Question A lot of 100 bulbs contains 10 defective bulbs. Five bulbs are selected at random from the lot and are sent to retail st

View Question Given $$0 \leq x \leq \frac{1}{2}$$, then the value of $$\tan \left(\sin ^{-1}\left(\frac{x}{\sqrt{2}}+\frac{\sqrt{1-x^2

View Question A vector parallel to the line of intersection of the planes $$\bar{r} \cdot(3 \hat{i}-\hat{j}+\hat{k})=1$$ and $$\bar{r}

View Question The length of the perpendicular drawn from the point $$(1,2,3)$$ to the line $$\frac{x-6}{3}=\frac{y-7}{2}=\frac{z-7}{-2

View Question If $$I=\int \frac{d x}{\sin (x-a) \sin (x-b)}$$, then I is given by

View Question Let $$\mathrm{P}(x)$$ be a polynomial of degree 2, with $$\mathrm{P}(2)=-1, \mathrm{P}^{\prime}(2)=0, \mathrm{P}^{\prime

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

View Question Let $$\mathrm{f}(x)=5-|x-2|$$ and $$\mathrm{g}(x)=|x+1|, x \in \mathrm{R}$$ If $$\mathrm{f}(x)$$ attains maximum value a

View Question ## Physics

The power factor of an R-L circuit is $$\frac{1}{\sqrt{2}}$$. If the frequency of $$\mathrm{AC}$$ is doubled the power f

View Question Ratio of longest wavelength corresponding to Lyman and Balmer series in hydrogen spectrum is

View Question A uniform circular disc of mass $$12 \mathrm{~kg}$$ is held by two identical springs. When the disc is slightly pressed

View Question A charge $$17.7 \times 10^{-4} \mathrm{C}$$ is distributed uniformly over a large sheet of area $$200 \mathrm{~m}^2$$. T

View Question Sound waves of frequency $$600 \mathrm{~Hz}$$ fall normally on a perfectly reflecting wall. The shortest distance from t

View Question A long solenoid has 1500 turns. When a current of $$3.5 \mathrm{~A}$$ flows through it, the magnetic flux linked with ea

View Question A metal rod cools at the rate of $$4{ }^{\circ} \mathrm{C} / \mathrm{min}$$ whon its temperature is $$90^{\circ} \mathrm

View Question On replacing a thin film of mica of thickness $$12 \times 10^{-5} \mathrm{~cm}$$ in the path of one of the interfering b

View Question In the hysteresis curve the value of magnetization (B) which will be present in a substance when value of magnetizing fo

View Question The output of following combination is same as that of

View Question A parallel plate capacitor with air medium between the plates has a capacitance of $$10 \mu \mathrm{F}$$. The area of ca

View Question Refractive index of a glass convex lens is 1.5. The radius of curvature of each of the two surfaces of the lens is $$20

View Question Earth is assumed to be a sphere of radius R. If '$$\mathrm{g}_\phi$$' is value of effective acceleration due to gravity

View Question Four identical uniform solid spheres each of same mass '$$M$$' and radius '$$R$$' are placed touching each other as show

View Question Two condensers one of capacity $$\frac{\mathrm{C}}{2}$$ and other capacity $$\mathrm{C}$$ are connected to a battery of

View Question When two light waves each of amplitude '$$A$$' and having a phase difference of $$\frac{\pi}{2}$$ superimposed then the

View Question In an n-p-n transistor, the collector current is $$28 \mathrm{~mA}$$. If $$80 \%$$ of electrons reach the collector, its

View Question A light spring is suspended with mass $$m_1$$ at its lower end and its upper end fixed to a rigid support. The mass is p

View Question The molecular mass of a gas having r.m.s. speed four times as that of another gas having molecular mass 32 is

View Question The position '$$x$$' of a particle varies with a time as $$x=a t^2-b t^3$$ where '$$a$$' and '$$b$$' are constants. The

View Question When the conductivity of a semiconductor is only due to the breaking of the covalent bonds, the semiconductor is called

View Question A coil having effective area A, is held with its plane normal to magnetic field of induction B. The magnetic induction i

View Question At constant temperature, increasing the pressure of a gas by $$5 \%$$ its volume will decrease by

View Question Half life of radio-active element is 1600 years. The fraction of sample remains undecayed after 6400 years will be

View Question Figure shows two semicircular loops of radii $$R_1$$ and $$R_2$$ carrying current $I$. The magnetic field at the common

View Question When radiation of wavelength '$$\lambda$$' is incident on a metallic surface, the stopping potential is 4.8 V. If the su

View Question A long wire is bent into a circular coil of one turn and then into a circular coil of smaller radius having $$\mathrm{n}

View Question When moving coil galvanometer (MCG) is converted into a voltmeter, the series resistance is '$$n$$' times the resistance

View Question The self induction (L) produced by solenoid of length '$$l$$' having '$$\mathrm{N}$$' number of turns and cross sectiona

View Question A wire $$P Q$$ has length $$4.8 \mathrm{~m}$$ and mass $$0.06 \mathrm{~kg}$$. Another wire QR has length $$2.56 \mathrm{

View Question When a monochromatic ray of light is passed through an equilateral glass prism, it is found that the refracted ray in gl

View Question A solid cylinder and a solid sphere having same mass and same radius roll down on the same inclined plane. The ratio of

View Question An alternating voltage $$E=200 \sqrt{2} \sin (100 t)$$ volt is connected to a $$1 \mu \mathrm{f}$$ capacitor through an

View Question A sonometer wire $$49 \mathrm{~cm}$$ long is in unison with a tuning fork of frequency '$$n$$'. If the length of the wir

View Question Two spherical soap bubbles of radii '$$a$$' and '$$b$$' in vacuum coalesce under isothermal conditions. The resulting bu

View Question A mass '$$M$$' is moving with constant velocity parallel to $$\mathrm{X}$$-axis. Its angular momentum with respect to th

View Question A block of mass '$$M$$' rests on a piston executing S.H.M. of period one second. The amplitude of oscillations, so that

View Question A machine gun fires bullets of mass $$30 \mathrm{~g}$$ with velocity of $$1000 \mathrm{~m} / \mathrm{s}$$. The man holdi

View Question The temperature of a gas is measure of

View Question A body (mass $$\mathrm{m}$$ ) starts its motion from rest from a point distant $$R_0\left(R_0>R\right)$$ from the centre

View Question An ideal refrigerator has freezer at a temperature of $$-13^{\circ} \mathrm{C}$$. The coefficient of performance of the

View Question 1000 small water drops of equal size combine to form a big drop. The ratio of final surface energy to the total initial

View Question It is easier to spray water to which soap is added because addition of soap to water

View Question What will be the phase difference between virtual voltage and virtual current when current in the circuit is wattless?

View Question Two wavelengths of sodium light $$590 \mathrm{~nm}$$ and $$596 \mathrm{~nm}$$ are used one after another to study diffra

View Question A coil having an inductance of $$\frac{1}{\pi} \mathrm{H}$$ is connected in series with a resistance of $$300 \Omega$$.

View Question The pressure and density of a diatomic gas $$\left(\gamma=\frac{7}{5}\right)$$ changes adiabatically from $$(\mathrm{P},

View Question A source of sound is moving towards a stationary observer with $$\left(\frac{1}{10}\right)^{\text {th }}$$ the of the sp

View Question If $$\mathrm{E}_{\mathrm{a}}$$ and $$\mathrm{E}_{\mathrm{q}}$$ represent the electric field intensity due to a short dip

View Question In potentiometer experiment, the balancing length is $$8 \mathrm{~m}$$ when two cells $$E_1$$ and $$E_2$$ are joined in

View Question