MHT CET 2023 12th May Morning Shift

Paper was held on
Fri, May 12, 2023 3:30 AM

## Chemistry

Find $$[\mathrm{OH}]$$ if a monoacidic base is $$3 \%$$ ionised in its $$0.04 \mathrm{~M}$$ solution.

View Question Calculate $$\Delta \mathrm{G}^{\circ}$$ for the reaction $$\mathrm{Mg}_{(\mathrm{s})}+\mathrm{Sn}_{(\mathrm{aq})}^{++} \

View Question If lattice enthalpy and hydration enthalpy of $$\mathrm{KCl}$$ are $$699 \mathrm{~kJ} \mathrm{~mol}^{-1}$$ and $$-681.8

View Question Which of the following compounds does NOT undergo Williamson's synthesis?

View Question What is the expression for solubility product of silver chromate if it's solubility is expressed as $$\mathrm{S} \mathrm

View Question Which from following is a non-ferrous alloy?

View Question What are the number of octahedral and tetrahedral voids in 0.3 mole substance respectively if it forms hcp structure?

View Question Calculate the molar mass of an element having density $$7.8 \mathrm{~g} \mathrm{~cm}^{-3}$$ that forms bcc unit cell. $$

View Question Which among the following compounds exhibits +2 oxidation state of oxygen?

View Question Identify substrate $$\mathrm{A}$$ in the following reaction.
$$\mathrm{A}+\mathrm{AgOH} \underset{\mathrm{ii)}~\Delta}{\

View Question What volume of $$\mathrm{CO}_{2(\mathrm{~g})}$$ at STP is obtained by complete combustion of $$6 \mathrm{~g}$$ carbon?

View Question Identify the chiral molecule from the following.

View Question Calculate the time needed for reactant to decompose $$99.9 \%$$ if rate constant of first order reaction is 0.576 minute

View Question What is the number of moles of $$\mathrm{sp}^3$$ hybrid carbon atoms in one mole of 2-Methylbut-2-ene?

View Question Identify major product $$\mathrm{A}$$ in following reaction.
3-Bromo-2-methylpentane $$\mathrm{\mathrel{\mathop{\kern0pt

View Question For reaction, $$\mathrm{CO}_{(\mathrm{g})}+\frac{1}{2} \mathrm{O}_{2(\mathrm{~g})} \longrightarrow \mathrm{CO}_{2(\mathr

View Question Identify the example of zero-dimensional nanostructure from following.

View Question What is $$\mathrm{pH}$$ of solution containing $$50 \mathrm{~mL}$$ each of $$0.1 \mathrm{~M}$$ sodium acetate and $$0.01

View Question Calculate amount of methane formed by liberation of $$149.6 \mathrm{~kJ}$$ of heat using following equation.
$$\mathrm{C

View Question Which from following polymers is used to obtain tyre cords?

View Question Electrolytic cells containing $$\mathrm{Zn}$$ and $$\mathrm{Al}$$ salt solutions are connected in series. If $$6.5 \math

View Question What type of glycosidic linkages are present in cellulose?

View Question Calculate the rate constant of first order reaction if half life of reaction is 40 minutes.

View Question Identify product '$$B$$' in following sequence of reactions.
2n Propanone $$\mathrm{\buildrel {Ba{{(OH)}_2}} \over
\lon

View Question Identify rate law expression for $$2 \mathrm{NO}_{(\mathrm{g})}+\mathrm{Cl}_{2(\mathrm{~g})} \rightarrow 2 \mathrm{NOCl}

View Question Which among the following solutions has minimum boiling point elevation?

View Question Calculate osmotic pressure of solution of 0.025 mole glucose in $$100 \mathrm{~mL}$$ water at $$300 \mathrm{~K}$$. $$\le

View Question Which from following is a neutral ligand?

View Question How many isomers of $$\mathrm{C}_4 \mathrm{H}_{11} \mathrm{~N}$$ are tertiary amines?

View Question Which element from following exhibits diagonal relationship with $$\mathrm{Mg}$$ ?

View Question Identify the good conductor of electricity from following band gap energy values of solids.
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View Question Identify the product obtained when ethoxybenzene reacts with hot and concentrated $$\mathrm{HI}$$.

View Question Identify thermosetting polymer from following

View Question Which from following phenomena is inversely proportional with adsorption?

View Question Calculate the frequency of blue light having wavelength $$440 \mathrm{~nm}$$.

View Question Which from following elements is NOT radioactive?

View Question Which from following is strongest reducing agent?

View Question What is the numerical value of spin only magnetic moment of copper in +2 state?

View Question Identify the element having highest density from following.

View Question What is the shape of $$\mathrm{AB}_4 \mathrm{E}$$ type of molecule according to VSEPR?

View Question The molecular formula of hexachlorobenzene is

View Question What is the value of specific rotation exhibited by fructose molecule?

View Question Which of the following reactions is Rosenmund reduction?

View Question Which from following complexes contains only anionic ligands?

View Question A hot air balloon has volume of $$2000 \mathrm{~dm}^3$$ at $$99^{\circ} \mathrm{C}$$. What is the new volume if air in b

View Question Identify the product obtained in following reaction.
n $$\mathrm{CH}_3 \mathrm{MgI}+\mathrm{H}_2 \mathrm{O} \stackrel{\t

View Question Which of following pairs is an example of isoelectronic species?

View Question Which from following compounds is obtained when anisole is heated with dilute sulfuric acid?

View Question Calculate molality of solution of a nonvolatile solute having boiling point elevation $$1.89 \mathrm{~K}$$ if boiling po

View Question What type of following phenomena does the Cannizzaro reaction exhibit?

View Question ## Mathematics

If $$\overline{\mathrm{a}}, \overline{\mathrm{b}}, \overline{\mathrm{c}}$$ are three vectors, $$|\overline{\mathrm{a}}|=

View Question The centroid of tetrahedron with vertices at $$\mathrm{A}(-1,2,3), \mathrm{B}(3,-2,1), \mathrm{C}(2,1,3)$$ and $$\mathrm

View Question Two adjacent sides of a parallelogram $$\mathrm{ABCD}$$ are given by $$\overline{A B}=2 \hat{i}+10 \hat{j}+1 \hat{k}$$ a

View Question The values of $$a$$ and $$b$$, so that the function
$$f(x)=\left\{\begin{array}{l}
x+a \sqrt{2} \sin x, 0 \leq x \leq \f

View Question For a feasible region OCDBO given below, the maximum value of the objective function $$z=3 x+4 y$$ is

View Question If $$\mathrm{g}(x)=1+\sqrt{x}$$ and $$\mathrm{f}(\mathrm{g}(x))=3+2 \sqrt{x}+x$$ then $$\mathrm{f}(\mathrm{f}(x))$$ is

View Question The approximate value of $$\sin \left(60^{\circ} 0^{\prime} 10^{\prime \prime}\right)$$ is (given that $$\sqrt{3}=1.732,

View Question The decay rate of radio active material at any time $$t$$ is proportional to its mass at that time. The mass is 27 grams

View Question The derivative of $$\mathrm{f}(\tan x)$$ w.r.t. $$\mathrm{g}(\sec x)$$ at $$x=\frac{\pi}{4}$$ where $$\mathrm{f}^{\prime

View Question The p.m.f of random variate $$\mathrm{X}$$ is $$P(X)= \begin{cases}\frac{2 x}{\mathrm{n}(\mathrm{n}+1)}, & x=1,2,3, \ldo

View Question The angle between the tangents to the curves $$y=2 x^2$$ and $$x=2 y^2$$ at $$(1,1)$$ is

View Question If the area of the triangle with vertices $$(1,2,0)$$, $$(1,0,2)$$ and $$(0, x, 1)$$ is $$\sqrt{6}$$ square units, then

View Question An experiment succeeds twice as often as it fails. Then the probability, that in the next 6 trials there will be atleast

View Question The co-ordinates of the points on the line $$2 x-y=5$$ which are the distance of 1 unit from the line $$3 x+4 y=5$$ are

View Question If $$x=\operatorname{cosec}\left(\tan ^{-1}\left(\cos \left(\cot ^{-1}\left(\sec \left(\sin ^{-1} a\right)\right)\right)

View Question Let $$\overline{\mathrm{A}}$$ be a vector parallel to line of intersection of planes $$P_1$$ and $$P_2$$ through origin.

View Question $$\int \frac{\operatorname{cosec} x d x}{\cos ^2\left(1+\log \tan \frac{x}{2}\right)}=$$

View Question If the variance of the numbers $$-1,0,1, \mathrm{k}$$ is 5, where $$\mathrm{k} > 0$$, then $$\mathrm{k}$$ is equal to

View Question The differential equation $$\cos (x+y) \mathrm{d} y=\mathrm{d} x$$ has the general solution given by

View Question The area of the region bounded by the curves $$y=\mathrm{e}^x, y=\log x$$ and lines $$x=1, x=2$$ is

View Question If $$x=-1$$ and $$x=2$$ are extreme points of $$\mathrm{f}(x)=\alpha \log x+\beta x^2+x, \alpha$$ and $$\beta$$ are cons

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 $$(1,1,1

View Question The function $$\mathrm{f}(x)=\sin ^4 x+\cos ^4 x$$ is increasing in

View Question If $$a > 0$$ and $$z=\frac{(1+i)^2}{a+i},(i=\sqrt{-1})$$ has magnitude $$\frac{2}{\sqrt{5}}$$, then $$\bar{z}$$ is equal

View Question The integral $$\int \frac{\sin ^2 x \cos ^2 x}{\left(\sin ^5 x+\cos ^3 x \sin ^2 x+\sin ^3 x \cos ^2 x+\cos ^5 x\right)^

View Question The equation of the plane through $$(-1,1,2)$$ whose normal makes equal acute angles with co-ordinate axes is

View Question If $$\mathrm{T}_{\mathrm{n}}$$ denotes the number of triangles which can be formed using the vertices of regular polygon

View Question Two cards are drawn successively with replacement from a well shuffled pack of 52 cards. Then the probability distributi

View Question If $$\tan \theta=\frac{\sin \alpha-\cos \alpha}{\sin \alpha+\cos \alpha}, 0 \leq \alpha \leq \frac{\pi}{2}$$, then the v

View Question The solution set of $$8 \cos ^2 \theta+14 \cos \theta+5=0$$, in the interval $$[0,2 \pi]$$, is

View Question A ladder 5 meters long rests against a vertical wall. If its top slides downwards at the rate of $$10 \mathrm{~cm} / \ma

View Question If $$\frac{\mathrm{d} y}{\mathrm{~d} x}=y+3$$ and $$y(0)=2$$, then $$y(\log 2)=$$

View Question $$\text { If } \log (x+y)=2 x y \text {, then } \frac{\mathrm{d} y}{\mathrm{~d} x} \text { at } x=0 \text { is }$$

View Question If general solution of $$\cos ^2 \theta-2 \sin \theta+\frac{1}{4}=0$$ is $$\theta=\frac{\mathrm{n} \pi}{\mathrm{A}}+(-1)

View Question $$\overline{\mathrm{u}}, \overline{\mathrm{v}}, \overline{\mathrm{w}}$$ are three vectors such that $$|\overline{\mathrm

View Question The distance of the point $$\mathrm{P}(-2,4,-5)$$ from the line $$\frac{x+3}{3}=\frac{y-4}{5}=\frac{z+8}{6}$$ is

View Question $$\mathrm{A}$$ and $$\mathrm{B}$$ are independent events with $$\mathrm{P}(\mathrm{A})=\frac{1}{4}$$ and $$\mathrm{P}(\m

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

View Question If the matrix $$\mathrm{A}=\left[\begin{array}{cc}1 & 2 \\ -5 & 1\end{array}\right]$$ and $$\mathrm{A}^{-1}=x \mathrm{~A

View Question The inverse of the statement "If the surface area increase, then the pressure decreases.", is

View Question In a triangle, the sum of lengths of two sides is $$x$$ and the product of the lengths of the same two sides is $$y$$. I

View Question The contrapositive of "If $$x$$ and $$y$$ are integers such that $$x y$$ is odd, then both $$x$$ and $$y$$ are odd" is

View Question $$y=(1+x)\left(1+x^2\right)\left(1+x^4\right) \ldots \ldots \ldots\left(1+x^{2 n}\right)$$,
then the value of $$\frac{\m

View Question $$\lim _\limits{x \rightarrow 0} \frac{\cos 7 x^{\circ}-\cos 2 x^{\circ}}{x^2}$$ is

View Question $$\int_\limits0^4|2 x-5| d x=$$

View Question If $$\lambda$$ is the perpendicular distance of a point $$\mathrm{P}$$ on the circle $$x^2+y^2+2 x+2 y-3=0$$, from the l

View Question If the line $$\frac{1-x}{3}=\frac{7 y-14}{2 p}=\frac{z-3}{2}$$ and $$\frac{7-7 x}{3 \mathrm{p}}=\frac{y-5}{1}=\frac{6-\m

View Question The value of $$\sin \left(\cot ^{-1} x\right)$$ is

View Question If $$\int \cos ^{\frac{3}{5}} x \cdot \sin ^3 x d x=\frac{-1}{m} \cos ^m x+\frac{1}{n} \cos ^n x+c$$, (where $$\mathrm{c

View Question Let $$\mathrm{PQR}$$ be a right angled isosceles triangle, right angled at $$\mathrm{P}(2,1)$$. If the equation of the l

View Question ## Physics

A uniform string is vibrating with a fundamental frequency '$$n$$'. If radius and length of string both are doubled keep

View Question Let $$\gamma_1$$ be the ratio of molar specific heat at constant pressure and molar specific heat at constant volume of

View Question A railway track is banked for a speed ',$$v$$' by elevating outer rail by a height '$$h$$' above the inner rail. The dis

View Question In the given capacitive network the resultant capacitance between point $$\mathrm{A}$$ and $$\mathrm{B}$$ is

View Question In Young's double slit experiment the intensities at two points, for the path difference $$\frac{\lambda}{4}$$ and $$\fr

View Question A simple pendulum performs simple harmonic motion about $$\mathrm{x}=0$$ with an amplitude '$$\mathrm{a}$$' and time per

View Question The molar specific heat of an ideal gas at constant pressure and constant volume is $$\mathrm{C}_{\mathrm{p}}$$ and $$\m

View Question Resistance of a potentiometer wire is $$2 \Omega / \mathrm{m}$$. A cell of e.m.f. $$1.5 \mathrm{~V}$$ balances at $$300

View Question $$\mathrm{A}, \mathrm{B}$$ and $$\mathrm{C}$$ are three parallel conductors of equal lengths and carry currents I, I and

View Question Two electric dipoles of moment $$\mathrm{P}$$ and $$27 \mathrm{P}$$ are placed on a line with their centres $$24 \mathrm

View Question Converging or diverging ability of a lens or mirror is called

View Question The following logic gate combination is equivalent to

View Question Radiations of two photons having energies twice and five times the work function of metal are incident successively on m

View Question Time period of simple pendulum on earth's surface is '$$\mathrm{T}$$'. Its time period becomes '$$\mathrm{xT}$$' when ta

View Question Consider a soap film on a rectangular frame of wire of area $$3 \times 3 \mathrm{~cm}^2$$. If the area of the soap film

View Question In Lyman series, series limit of wavelength is $$\lambda_1$$. The wavelength of first line of Lyman series is $$\lambda_

View Question The magnetic moment of a current (I) carrying circular coil of radius '$$r$$' and number of turns '$$n$$' depends on

View Question A spherical drop of liquid splits into 1000 identical spherical drops. If '$$\mathrm{E}_1$$' is the surface energy of th

View Question The displacement of two sinusoidal waves is given by the equation
$$\begin{aligned}
& \mathrm{y}_1=8 \sin (20 \mathrm{x}

View Question $$I_1$$ is the moment of inertia of a circular disc about an axis passing through its centre and perpendicular to the pl

View Question The equivalent capacity between terminal $$\mathrm{A}$$ and $$\mathrm{B}$$ is

View Question Two similar coils each of radius $$\mathrm{R}$$ are lying concentrically with their planes at right angles to each other

View Question The logic gate combination circuit shown in the figure performs the logic function of

View Question Two sounding sources send waves at certain temperature in air of wavelength $$50 \mathrm{~cm}$$ and $$50.5 \mathrm{~cm}$

View Question In the given circuit, r.m.s. value of current through the resistor $$\mathrm{R}$$ is

View Question A particle of mass '$$m$$' moving east ward with a speed '$$v$$' collides with another particle of same mass moving nort

View Question The height at which the weight of the body becomes $$\left(\frac{1}{9}\right)^{\text {th }}$$ its weight on the surface

View Question A single turn current loop in the shape of a right angle triangle with side $$5 \mathrm{~cm}, 12 \mathrm{~cm}, 13 \mathr

View Question 41 tuning forks are arranged in increasing order of frequency such that each produces 5 beats/second with next tuning fo

View Question In two separate setups for Biprism experiment using same wavelength, fringes of equal width are obtained. If ratio of sl

View Question A composite slab consists of two materials having coefficient of thermal conductivity $$\mathrm{K}$$ and $$2 \mathrm{~K}

View Question A black sphere has radius '$$R$$' whose rate of radiation is '$$E$$' at temperature '$$T$$'. If radius is made $$R / 3$$

View Question The potential on the plates of capacitor are $$+20 \mathrm{~V}$$ and $$-20 \mathrm{~V}$$. The charge on the plate is $$4

View Question A thin uniform circular disc of mass '$$\mathrm{M}$$' and radius '$$R$$' is rotating with angular velocity '$$\omega$$',

View Question A gas at normal temperature is suddenly compressed to one-fourth of its original volume. If $$\frac{\mathrm{C}_{\mathrm{

View Question When light of wavelength $$\lambda$$ is incident on a photosensitive surface the stopping potential is '$$\mathrm{V}$$'.

View Question One of the necessary condition for total internal reflection to take place is
( $$\mathrm{i}=$$ angle of incidence, $$\m

View Question In the given circuit, if $$\frac{\mathrm{dI}}{\mathrm{dt}}=-1 \mathrm{~A} / \mathrm{s}$$ then the value of $$\left(V_A-V

View Question An inductor of $$0.5 \mathrm{~mH}$$, a capacitor of $$20 ~\mu \mathrm{F}$$ and a resistance of $$20 \Omega$$ are connect

View Question The wavelength of radiation emitted is '$$\lambda_0$$' when an electron jumps from the second excited state to the first

View Question Two particles having mass '$$M$$' and '$$m$$' are moving in a circular path with radius '$$R$$' and '$$r$$' respectively

View Question The excess pressure inside a first spherical drop of water is three times that of second spherical drop of water. Then t

View Question When forward bias is applied to a p-n junction, then what happens to the potential barrier $$\left(V_B\right)$$ and the

View Question Two inductors of $$60 \mathrm{~mH}$$ each are joined in parallel. The current passing through this combination is $$2.2

View Question A beam of light is incident on a glass plate at an angle of $$60^{\circ}$$. The reflected ray is polarized. If angle of

View Question Consider a light planet revolving around a massive star in a circular orbit of radius '$$r$$' with time period '$$T$$'.

View Question A potentiometer wire has length of $$5 \mathrm{~m}$$ and resistance of $$16 \Omega$$. The driving cell has an e.m.f. of

View Question Four massless springs whose force constants are $$2 \mathrm{~K}, 2 \mathrm{~K}, \mathrm{~K}$$ and $$2 \mathrm{~K}$$ resp

View Question About black body radiation, which of the following is the wrong statement?

View Question Two coils have a mutual inductance of $$0.004 \mathrm{~H}$$. The current changes in the first coil according to equation

View Question