MHT CET 2023 13th May Evening Shift

Paper was held on
Sat, May 13, 2023 9:30 AM

## Chemistry

What is the $$\mathrm{pH}$$ of solution containing $$4.62 \times 10^{-4} \mathrm{M} \mathrm{H}^{+}$$ ions?

View Question Which of the following is vinylic alcohol?

View Question Which among the following is benzylic halide?

View Question Which among the following is a simple ketone?

View Question Identify glycosidic linkage present in maltose.

View Question Which statement from following about nano-material is NOT correct?

View Question Which from following species is NOT a monodentate ligand?

View Question Two moles of an ideal gas expand freely and isothermally from $$5 \mathrm{~dm}^3$$ to $$50 \mathrm{~dm}^3$$. What is the

View Question What is IUPAC name of following compound?

View Question What is the molecular formula of an alkane if it exhibits three structural isomers?

View Question What is the bond order in N$$_2^+$$?

View Question Identify alkaline earth metal from following.

View Question What is the molality of solution of a non-volatile solute having boiling point elevation $$7.15 \mathrm{~K}$$ and molal

View Question Which from following statements about rate constant is NOT true?

View Question Identify '$$B$$' in the following conversions
$$\mathrm{CH}_3 \mathrm{Br} \xrightarrow{\mathrm{KCN}} A \xrightarrow{\mat

View Question Find the radius of metal atom in bcc unit cell having edge length $$450 \mathrm{~pm}$$.

View Question Which from following statements is true for the molecule

View Question Which among the following salt solution in water is acidic in nature?

View Question Which among the following is intensive and extensive properties respectively?

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

View Question Which of the following statements is NOT true about polymorphism?

View Question Which from the following expression represents molar conductivity of an electrolyte $$\mathrm{A}_2 B_3$$ type?

View Question Which of the following electromagnetic radiations possesses lowest energy?

View Question Which among the following is an example of branched chain polymer?

View Question For the reaction,
$$\mathrm{CH}_3 \mathrm{Br}(a q)+\mathrm{OH}^{-}(a q) \longrightarrow \mathrm{CH}_3 \mathrm{OH}(a q)+

View Question For the reaction, $$2 A+2 B \longrightarrow 2 C+D$$, the rate law is expressed as rate $$=k[A]^2[B]$$.
Calculate the rat

View Question What is the molar conductivity of $$0.005 \mathrm{~M} \mathrm{~NaI}$$ solution if it's conductivity is
$$6.065 \times 1

View Question Which of the following is not a disaccharide?

View Question Which from following is a correct decreasing order of ionisation enthalpy for different elements?

View Question Which among the following salts exhibits inverse relation between it's solubility and temperature?

View Question Which from following series of elements is correctly arranged according to their decreasing order of ionisation enthalpy

View Question Identify the product formed by the action of $$\mathrm{H}_2(\mathrm{~g})$$ with $$\mathrm{CO}(\mathrm{g})$$ in presence

View Question Calculate $$E^{\circ}$$ cell for following.
$$\mathrm{Zn}(s)\left|\mathrm{Zn}^{++}(1 \mathrm{M}) \| \mathrm{Pb}^{++}(1 \

View Question Which from following elements exhibits usual tendency to undergo reduction?

View Question According to reaction,
$$\mathrm{Mg}(s)+2 \mathrm{HCl}(a q) \longrightarrow \mathrm{MgCl}_2(a q)+\mathrm{H}_2(g) \uparro

View Question A closed container contains mixture of non-reacting gases $$A$$ and $$B$$. Partial pressure of $$A$$ and $$B$$ are 4.5 b

View Question Which from following compounds is obtained when toluene is treated with $$\mathrm{CrO}_2 \mathrm{Cl}_2$$ in presence of

View Question Which of the following is NOT prepared by the action of Grignard's reagent on methanal?

View Question What is the number of elements present in each series of transition element?

View Question Which of the following is Wolf-Kishner reduction?

View Question Calculate the wave number of photon emitted during transition from the orbit of $$n=3$$ to $$n=2$$ in hydrogen atom $$\l

View Question What is the molar concentration of acetic acid if value of it's, dissociation constant is $$1.8 \times 10^{-5}$$ and deg

View Question An ideal gas absorbs $$210 \mathrm{~J}$$ of heat and undergoes expansion from $$3 \mathrm{~L}$$ to $$6 \mathrm{~L}$$ aga

View Question What is the molecular formula of $$p$$-toluidine?

View Question If $$0.01 \mathrm{~m}$$ aqueous solution of an electrolyte freezes at $$-0.056 \mathrm{~K}$$. Calculate van't Hoff facto

View Question Which element from following does NOT belong to chalcogen family?

View Question What is IUPAC name of following compound?

View Question Identify the monomers used to prepare novolac.

View Question Calculate the volume of unit cell if an element having molar mass $$180 \mathrm{~g} \mathrm{~mol}^{-1}$$ forms fcc unit

View Question Identify homoleptic complex from following.

View Question ## Mathematics

If $$x d y=y(d x+y d y), y(1)=1, y(x)>0$$, then $$y(-3)$$ is

View Question Slope of the tangent to the curve $$y=2 e^x \sin \left(\frac{\pi}{4}-\frac{x}{2}\right) \cos \left(\frac{\pi}{4}-\frac{x

View Question If the vectors $$p \hat{\mathbf{i}}+\hat{\mathbf{j}}+\hat{\mathbf{k}}, \hat{\mathbf{i}}+q \hat{\mathbf{j}}+\hat{\mathbf{

View Question A tetrahedron has vertices at $$P(2,1,3), Q(-1,1,2), R(1,2,1)$$ and $$O(0,0,0)$$, then angle between the faces $$O P Q$$

View Question Two dice are rolled. If both dice have six faces numbered $$1,2,3,5,7,11$$, then the probability that the sum of the num

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

View Question If $$\mathbf{a}=\frac{1}{\sqrt{10}}(3 \hat{\mathbf{i}}+\hat{\mathbf{k}}), \mathbf{b}=\frac{1}{7}(2 \hat{\mathbf{i}}+3 \h

View Question $$y=\frac{\sqrt[3]{1+3 x} \sqrt[4]{1+4 x} \sqrt[5]{1+5 x}}{\sqrt[7]{1+7 x} \sqrt[8]{1+8 x}} \text {. Then, } \frac{d y}{

View Question Five students are selected from $$n$$ students such that the ratio of number of ways in which 2 particular students are

View Question If $$\int \frac{\log \left(t+\sqrt{1+t^2}\right)}{\sqrt{1+t^2}} d t=\frac{1}{2}[g(t)]^2+c$$, (where $$c$$ is a constant

View Question If $$A=\left[\begin{array}{cc}1 & \tan x \\ -\tan x & 1\end{array}\right]$$, then $$A^T \cdot A^{-1}=$$

View Question $$\mathbf{a}=2 \hat{\mathbf{i}}+3 \hat{\mathbf{j}}+4 \hat{\mathbf{k}}, \mathbf{b}=\hat{\mathbf{i}}-2 \hat{\mathbf{j}}+\h

View Question Let $$P Q R$$ be a right angled isosceles triangle, right angled at $$Q(2,1)$$. If the equation of the line $$P R$$ is $

View Question If a curve $$y=a \sqrt{x}+b x$$ passes through the point $$(1,2)$$ and the area bounded by the curve, line $$x=4$$ and $

View Question A plane is parallel to two lines whose direction ratios are $$2,0,-2$$ and $$-2,2,0$$ and it contains the point $$(2,2,2

View Question If $$q$$ is false and $$p \wedge q \leftrightarrow r$$ is true, then ............ is a tautology.

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

View Question The value of $$\tan \left(\sin ^{-1}\left(\frac{3}{5}\right)+\tan ^{-1}\left(\frac{2}{3}\right)\right)$$ is

View Question Variance of first $$2 n$$ natural numbers is

View Question $$\int \frac{x-3}{(x-1)^3} e^x d x=$$

View Question If $$\mathbf{a}, \mathbf{b}, \mathbf{c}$$ are non-coplanar unit vectors such that $$\mathbf{a} \times(\mathbf{b} \times

View Question $$\int \frac{2+\cos \frac{x}{2}}{x+\sin \frac{x}{2}} d x=$$

View Question In $$\triangle A B C$$, with usual notations, if $$\frac{b+c}{11}=\frac{c+a}{12}=\frac{a+b}{13}$$, then the value of $$\

View Question If slope of the tangent to the curve $$x y+a x+b y=0$$ at the point $$(1,1)$$ on it is 2, then the value of $$3 a+b$$ is

View Question If $$(3 x+2)-(5 y-3) i$$ and $$(6 x+3)+(2 y-4) i$$ are conjugates of each other, then the value of $$\frac{x-y}{x+y}$$ i

View Question If $$\left(\tan ^{-1} x\right)^2+\left(\cot ^{-1} x\right)^2=\frac{5 \pi^2}{8}$$, then the value of $$x$$ is

View Question The solution of $$(1+x y) y d x+(1-x y) x d y=0$$ is

View Question The integral $$\int_\limits{\pi / 6}^{\pi / 3} \sec ^{\frac{2}{3}} x \operatorname{cosec}^{\frac{4}{3}} x d x$$ is equal

View Question $$\lim _\limits{x \rightarrow 0} \frac{\sqrt{1+x \sin x}-\sqrt{\cos x}}{\tan ^2 \frac{x}{2}}=$$

View Question $$A(1,-3), B(4,3)$$ are two points on the curve $$y=x-\frac{4}{x}$$. The points on the curve, the tangents at which are

View Question Let $$f: R \rightarrow R$$ be a function such that $$f(x)=x^3+x^2 f^{\prime}(1)+x f^{\prime \prime}(2)+f^{\prime \prime

View Question A radioactive substance, with initial mass $$m_0$$, has a half-life of $$h$$ days. Then, its initial decay rate is given

View Question The abscissae of two points $$A$$ and $$B$$ are the roots of the equation $$x^2+2 a x-b^2=0$$ and their ordinates are ro

View Question The incentre of the $$\triangle A B C$$, whose vertices are $$A(0,2,1), B(-2,0,0)$$ and $$C(-2,0,2)$$, is

View Question The acute angle between the line joining the points $$(2,1,-3),(-3,1,7)$$ and a line parallel to $$\frac{x-1}{3}=\frac{y

View Question A random variable $$X$$ has the probability distribution
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View Question The shaded area in the given figure is a solution set for some system of inequations. The maximum value of the function

View Question The foot of the perpendicular from the point $$(1,2,3)$$ on the line $$\mathbf{r}=(6 \hat{\mathbf{i}}+7 \hat{\mathbf{j}}

View Question Water is running in a hemispherical bowl of radius $$180 \mathrm{~cm}$$ at the rate of 108 cubic decimeters per minute.

View Question The solution of $$\sin x+\sin 5 x=\sin 3 x$$ in $$(0, \pi / 2)$$ are

View Question If $$(1+\sqrt{1+x}) \tan x=1+\sqrt{1-x}$$, then $$\sin 4 x$$ is

View Question If the sum of the mean and the variance of a binomial distribution for 5 trials is 1.8 , then the value of $$p$$ is

View Question If $$I=\int \frac{e^x}{e^{4 x}+e^{2 x}+1} d x$$ and
$$J=\int \frac{e^{-x}}{e^{-4 x}+e^{-2 x}+1} d x$$, then for any arbi

View Question The principal value of $$\sin ^{-1}(\sin (3 \pi / 4))$$ is

View Question If $$x=\log _e\left(\frac{\cos \frac{y}{2}-\sin \frac{y}{2}}{\cos \frac{y}{2}+\sin \frac{y}{2}}\right), \tan \frac{y}{2}

View Question The c.d.f. $$F(x)$$ associated with p.d.f. $$f(x)$$
$$f(x)=\left\{\begin{array}{cl}12 x^2(1-x), & \text { if } 0

View Question If $$f(x)$$ is continuous on its domain $$[-2,2]$$, where
$$f(x)=\left\{\begin{array}{cc}
\frac{\sin a x}{x}+3 & , \text

View Question $$P S$$ is the median of the triangle with vertices at $$P(2,2), Q(6,-1)$$ and $$R(7,3)$$, then the intercepts on the co

View Question If Rolle's theorem holds for the function $$f(x)=x^3+b x^2+a x+5$$ on $$[1,3]$$ with $$c=2+\frac{1}{\sqrt{3}}$$, then th

View Question The distance of the point $$(1,6,2)$$ from the point of intersection of the line $$\frac{x-2}{3}=\frac{y+1}{4}=\frac{z-2

View Question ## Physics

A sample of oxygen gas and a sample of hydrogen gas both have the same mass, same volume and the same pressure. The rati

View Question If two planets have their radii in the ratio $$x: y$$ and densities in the ratio $$m: n$$, then the acceleration due to

View Question An excited hydrogen atom emits a photon of wavelength $$\lambda$$ in returning to ground state. The quantum number $$n$$

View Question There is hole of area $$A$$ at the bottom of a cylindrical vessel. Water is filled to a height $$h$$ and water flows out

View Question The number of turns in the primary and the secondary of a transformer are 1000 and 3000 , respectively. If $$80 \mathrm{

View Question The ratio of magnetic field at the centre of the current carrying circular loop and magnetic moment is $$X$$. When both

View Question Light of wavelength $$5000 \mathop A\limits^o$$ is incident normally on a slit. The first minimum of the diffraction pat

View Question When two tuning forks are sounded together, 5 beats per second are heard. One of the forks is in unison with $$0.97 \mat

View Question The work done in rotating a dipole placed parallel to the electric field through $$180^{\circ}$$ is W. So, the work done

View Question When an electron is excited from its 4 th orbit to 5 th stationary orbit, the change in the angular momentum of electron

View Question The Boolean expression for the following combination is

View Question Under the influence of force $$F_1$$ the body oscillates with a period $$T_1$$ and due to another force $$F_2$$ body osc

View Question The internal energy of a monoatomic ideal gas molecule is

View Question A gas at pressure $$p_0$$ is contained in a vessel. If the masses of all the molecules are halved and their velocities a

View Question The equation of a progressive wave is $$Y=a \sin 2 \pi\left(n t-\frac{x}{5}\right)$$. The ratio of maximum particle velo

View Question For an adiabatic process, which one of the following is wrong statement?

View Question A mine is located at depth $$R / 3$$ below earth's surface. The acceleration due to gravity at that depth in mine is ($$

View Question A $$10 \mathrm{~m}$$ long wire of resistance $$20 \Omega$$ is connected in series with a battery of emf $$3 \mathrm{~V}$

View Question A group of lamps having total power rating of $$1000 \mathrm{~W}$$ is supplied by an AC voltage of $$E=200 \sin \left(31

View Question At a particular angular frequency, the reactance of capacitor and that of inductor is same. If the angular frequency is

View Question A metal disc of radius $$R$$ rotates with an angular velocity $$\omega$$ about an axis perpendicular to its plane passin

View Question A mass $$M$$ is suspended from a light spring. An additional mass $$M_1$$ added extends the spring further by a distance

View Question The path difference between two identical light waves at a point $$Q$$ on the screen is $$3 \mu \mathrm{m}$$. If wavelen

View Question If the maximum efficiency of a full wave rectifier is $$x \%$$ and that of half-wave rectifier is $$y \%$$, then the rel

View Question Two bodies $$A$$ and $$B$$ start from the same point at the same instant and move along a straight line. body $$A$$ move

View Question A small steel ball is dropped from a height of $$1.5 \mathrm{~m}$$ into a glycerine jar. The ball reaches the bottom of

View Question In a parallel plate capacitor with air between the plates, the distance $$d$$ between the plates is changed and the spac

View Question A ray of light passes through an equilateral prism such that the angle of incidence $$(i)$$ is equal to angle of emergen

View Question The radii of curvature of both the surfaces of a convex lens of focal length $$f$$ and power $$P$$ are equal. One of the

View Question A spring balance is attached to the ceiling of a lift. A man hangs his bag on the spring and the spring balance reads $$

View Question In a $$L$$-$$R$$ circuit the inductive reactance is equal to the resistance $R$ in the circuit. An emf $$E=E_0 \cos \ome

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

View Question A transverse wave strike against a wall,

View Question A circular current carrying coil has radius $$R$$. The magnetic induction at the centre of the coil is $$B_C$$. The magn

View Question In the electric field due to a charge $$Q$$, a charge $$q$$ moves from point $$A$$ to $$B$$. The work done is ( $$\varep

View Question Of the two slits producing interference in Young's experiment, one is covered with glass so that light intensity passing

View Question Magnetic shielding is done by surrounding the instrument to be protected from magnetic field by

View Question In the given figure, the equivalent capacitance between points A and B is

View Question If work done in blowing a soap bubble of volume $$V$$ is $$W$$, then the work done in blowing the bubble of volume $$2 \

View Question Which one of the following is based on convection?

View Question A simple spring has length $$l$$ and force constant $$K$$. It is cut in to two springs of length $$l_1$$ and $$l_2$$ suc

View Question A closed pipe and an open pipe have their first overtone equal in frequency. Then, the lengths of these pipe are in the

View Question A conductor $$10 \mathrm{~cm}$$ long is moves with a speed $$1 \mathrm{~m} / \mathrm{s}$$ perpendicular to a field of st

View Question Dual nature of light is exhibited by

View Question A carnot engine operates with source at $$227^{\circ} \mathrm{C}$$ and sink at $$27^{\circ} \mathrm{C}$$. If the source

View Question Doping of a semiconductor (with small impurity atoms) generally changes the resistivity as follows.

View Question A stone is projected at angle $$\theta$$ with velocity $$u$$. If it executes nearly a circular motion at its maximum poi

View Question When radiations of wavelength $$\lambda$$ is incident on a metallic surface the stopping potential required is $$4.8 \ma

View Question A thin uniform $$\operatorname{rod} A B$$ of mass $$m$$ and length $$l$$ is hinged at one end $$A$$ to the ground level.

View Question Only $$4 \%$$ of the total current in the circuit passes through a galvanometer. If the resistance of the galvanometer i

View Question