MHT CET 2023 10th May Evening Shift

Paper was held on
Wed, May 10, 2023 9:30 AM

## Chemistry

What is the calculated value of spin only magnetic moment in terms of BM if only one unpaired electron is present in a s

View Question Which of the following is tertiary allylic alcohol?

View Question Identify the solvent used in bromination of phenol to obtain 2,4,6-tribromophenol.

View Question How many moles of nitrogen atoms are present in $$8 \mathrm{~g}$$ of ammonium nitrate?
(Molar mass of ammonium nitrate $

View Question Identify the elements undergoing reduction and oxidation respectively in the following redox reaction.
$$3 \mathrm{H}_3

View Question Which of the following is tricarboxylic acid?

View Question Find the radius of an atom in fcc unit cell having edge length $$393 \mathrm{pm}$$.

View Question Which from following is a CORRECT decreasing order of ionization enthalpies of different elements?

View Question A gas absorbs $$200 \mathrm{~J}$$ heat and expands by $$500 \mathrm{~cm}^3$$ against a constant external pressure $$2 \t

View Question Identify a copolymer from following.

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

View Question Calculate the rate constant for the first order reaction, $$\mathrm{A} \rightarrow \mathrm{B}$$ if the rate of reaction

View Question Identify the product obtained when benzonitrile is reduced by stannous chloride in presence of hydrochloric acid followe

View Question Find solubility in terms of $$\mathrm{mol} \mathrm{~L}^{-1}$$ if solubility product of silver bromide is $$6.4 \times 10

View Question What happens when solution of an electrolyte is diluted?

View Question The solubility of a gas in a liquid is directly proportional to the pressure of the gas over the solution. Identify the

View Question Weak acid HX has dissociation constant $$1 \times 10^{-5}$$. Calculate the percent dissociation in its $$0.1 \mathrm{M}$

View Question Calculate the $$\mathrm{pH}$$ of a buffer solution containing $$0.01 ~\mathrm{M}$$ salt and $$0.004 \mathrm{~M}$$ weak a

View Question Which among the following is vinylic halide?

View Question Which from following compounds is obtained when carbon dioxide gas bubbled through slaked lime solution?

View Question Calculate the number of atoms present in unit cell of an element having molar mass $$190 \mathrm{~g} \mathrm{~mol}^{-1}$

View Question What is the solubility of a gas in water at $$25^{\circ} \mathrm{C}$$ if partial pressure is $$0.18 \mathrm{~atm}$$ ? $$

View Question What is the radius of fourth orbit of $$\mathrm{Be}^{+++}$$ ?

View Question What is the number of unpaired electrons in $$\mathrm{NO}$$ molecule?

View Question Identify the glycosidic linkage present in lactose.

View Question Which from following statements is TRUE about $$\mathrm{CH}_3 \mathrm{CH}\left(\mathrm{NH}_2\right) \mathrm{CH}_2 \mathr

View Question Which of the following is obtained as product when ethylene reacts with oxygen in presence of $$\mathrm{Pd} / \mathrm{Al

View Question What is the position of transition elements from $$\mathrm{Sc}$$ to $$\mathrm{Zn}$$ in long form of periodic table?

View Question Which from following elements is most abundant on earth?

View Question What is the volume of 1 mole real gas at STP $$\left(V_0=22.4 \mathrm{~dm}^3\right)$$, if compressibility factor of real

View Question Identify the product obtained when isopropyl bromide is reacted with metallic sodium in dry ether.

View Question Which of the following is general representation of Grignard reagent?

View Question Which among the following statements is NOT true about high density polythene?

View Question What is osmotic pressure of solution of $$1.7 \mathrm{~g} \mathrm{~CaCl}_2$$ in $$1.25 \mathrm{~dm}^3$$ water at $$300 \

View Question Which among the following pair of properties is intensive?

View Question Identify the molecular formula of an alkane that exhibits only two different structural isomers.

View Question An organic compound '$$\mathrm{A}$$' on reaction with $$\mathrm{PCl}_3$$ gives an alkyl chloride having formula $$\mathr

View Question Identify tetrasaccharide from following.

View Question What type of ligand does the ethylenediamine is?

View Question What is angular momentum of an electron in fourth orbit of hydrogen atom?

View Question Which from following complexes is heteroleptic?

View Question Calculate $$E_{\text {cell }}^{\circ}$$ in which following reaction occurs. $$\mathrm{Mg}_{(\mathrm{s})}+2 \mathrm{Ag}_{

View Question Identify CORRECT decreasing order of solubilities of alcohols, alkanes and amines in water having comparable molar mass.

View Question Which of the following characteristic properties is NOT true for crystalline solid?

View Question Time required for $$90 \%$$ completion of a first order reaction is '$$x$$' minute. Calculate the time required to compl

View Question Identify '$$A$$' in the following reaction:
A $$\mathrm{\mathrel{\mathop{\kern0pt\longrightarrow}
\limits_{ether}^{LiAl{

View Question Which of the following reagents is used in Gatterman-Koch formylation of arene?

View Question Identify the last step in wet chemical synthesis of nanomaterial.

View Question Calculate the conductivity of $$0.02 \mathrm{~M}$$ electrolyte solution if its molar conductivity $$407.2 \Omega^{-1} \m

View Question If $$8.84 \mathrm{~kJ}$$ heat is liberated for formation of $$3 \mathrm{~g}$$ ethane, calculate its $$\triangle_{\mathrm

View Question ## Mathematics

The value of $$\mathrm{c}$$ for the function $$\mathrm{f}(x)=\log x$$ on [$$1$$, e] if LMVT can be applied, is

View Question The three ships namely A, B and C sail from India to Africa. If the odds in favour of the ships reaching safely are $$2:

View Question If $$\mathrm{p}$$ and $$\mathrm{q}$$ are true statements and $$\mathrm{r}$$ and $$\mathrm{s}$$ are false statements, the

View Question If the sum of mean and variance of a Binomial Distribution is $$\frac{15}{2}$$ for 10 trials, then the variance is

View Question If $$(\bar{a} \times \bar{b}) \times \bar{c}=-5 \bar{a}+4 \bar{b}$$ and $$\bar{a} \cdot \bar{b}=3$$, then the value of $

View Question The plane through the intersection of planes $$x+y+z=1$$ and $$2 x+3 y-z+4=0$$ and parallel to $$\mathrm{Y}$$-axis also

View Question Let $$\mathrm{f}(x)=\mathrm{e}^x-x$$ and $$\mathrm{g}(x)=x^2-x, \forall x \in \mathrm{R}$$, then the set of all $$x \in

View Question Let $$f$$ be a differentiable function such that $$\mathrm{f}(1)=2$$ and $$\mathrm{f}^{\prime}(x)=\mathrm{f}(x)$$, for a

View Question The joint equation of a pair of lines passing through the origin and making an angle of $$\frac{\pi}{4}$$ with the line

View Question Two sides of a square are along the lines $$5 x-12 y+39=0$$ and $$5 x-12 y+78=0$$, then area of the square is

View Question The value of $$\int \frac{\mathrm{d} x}{x^2\left(x^4+1\right)^{\frac{3}{4}}}$$ is

View Question $$\int \frac{5 \tan x}{\tan x-2} \mathrm{~d} x=x+\mathrm{a} \log |\sin x-2 \cos x|+\mathrm{c},$$
(where $$c$$ is a const

View Question Let $$\mathrm{S}=\left\{\mathrm{t} \in \mathrm{R} / \mathrm{f}(x)=|x-\pi|\left(\mathrm{e}^{|x|}-1\right) \sin |x|\right.

View Question The domain of the function $$\mathrm{f}(x)=\sin ^{-1}\left(\frac{|x|+5}{x^2+1}\right)$$ is $$(-\infty,-a] \cup[a, \infty

View Question The perpendicular distance of the origin from the plane $$x-3 y+4 z-6=0$$ is

View Question The area bounded by the $$\mathrm{X}$$-axis and the curve $$y=x(x-2)(x+1)$$ is

View Question Let $$\mathrm{f}: \mathrm{R} \rightarrow \mathrm{R}$$ and $$\mathrm{g}: \mathrm{R} \rightarrow \mathrm{R}$$ be continuou

View Question If $$\bar{p}=\hat{i}+\hat{j}+\hat{k}$$ and $$\bar{q}=\hat{i}-2 \hat{j}+\hat{k}$$. Then a vector of magnitude $$5 \sqrt{3

View Question The value of $$\frac{{ }^{10} \mathrm{C}_{\mathrm{r}}}{{ }^{11} \mathrm{C}_{\mathrm{r}}}$$, when both the numerator and

View Question The general solution of the differential equation $$\frac{\mathrm{d} y}{\mathrm{~d} x}+\left(\frac{3 x^2}{1+x^3}\right)

View Question If $$y$$ is a function of $$x$$ and $$\log (x+y)=2 x y$$, then $$\frac{d y}{d x}$$ at $$x=0$$ is

View Question The displacement '$$\mathrm{S}$$' of a moving particle at a time $$t$$ is given by $$S=5+\frac{48}{t}+t^3$$. Then its ac

View Question If $$\bar{a}$$ and $$\bar{b}$$ are two unit vectors such that $$\bar{a}+2 \bar{b}$$ and $$5 \bar{a}-4 \bar{b}$$ are perp

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

View Question $$\int_\limits 0^\pi \frac{x \tan x}{\sec x+\cos x} d x=
$$

View Question If $$\tan ^{-1} a+\tan ^{-1} b+\tan ^{-1} c=\pi$$, then which of the following statement is true?

View Question If $$\mathrm{f}(x)=\frac{4}{x^4}\left[1-\cos \frac{x}{2}-\cos \frac{x}{4}+\cos \frac{x}{2} \cdot \cos \frac{x}{4}\right]

View Question Two lines $$\frac{x-3}{1}=\frac{y+1}{3}=\frac{z-6}{-1}$$ and $$\frac{x+5}{7}=\frac{y-2}{-6}=\frac{z-3}{4} \quad$$ inters

View Question The value of $$\int \frac{\left(x^2-1\right) d x}{x^3 \sqrt{2 x^4-2 x^2+1}}$$ is

View Question The shaded area in the figure given below is a solution set of a system of inequations. The minimum value of objective f

View Question If $$\overline{\mathrm{a}}=\mathrm{m} \overline{\mathrm{b}}+\mathrm{nc}$$, where $$\overline{\mathrm{a}}=4 \hat{\mathrm{

View Question In a game, 3 coins are tossed. A person is paid ₹ 7 /-, if he gets all heads or all tails; and he is supposed to pay ₹ 3

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

View Question The parametric equations of the circle $$x^2+y^2+2 x-4 y-4=0$$ are

View Question In a triangle $$\mathrm{ABC}$$, with usual notations, if $$\mathrm{c}=4$$, then value of $$(a-b)^2 \cos ^2 \frac{C}{2}+(

View Question $$\lim _\limits{x \rightarrow a} \frac{\sqrt{a+2 x}-\sqrt{3 x}}{\sqrt{3 a+x}-2 \sqrt{x}}=$$

View Question If $$B=\left[\begin{array}{ccc}3 & \alpha & -1 \\ 1 & 3 & 1 \\ -1 & 1 & 3\end{array}\right]$$ is the adjoint of a $$3 \t

View Question If $$x=3 \tan \mathrm{t}$$ and $$y=3 \sec \mathrm{t}$$, then the value of $$\frac{\mathrm{d}^2 y}{\mathrm{~d} x^2}$$ at

View Question A fair die is tossed twice in succession. If $$\mathrm{X}$$ denotes the number of sixes in two tosses, then the probabil

View Question The negation of the statement pattern $$\sim s \vee(\sim r \wedge s)$$ is equivalent to

View Question If the volume of tetrahedron, whose vertices are with position vectors $$\hat{i}-6 \hat{j}+10 \hat{k},-\hat{i}-3 \hat{j}

View Question The argument of $$\frac{1+i \sqrt{3}}{\sqrt{3}+i}, i=\sqrt{-1}$$ is

View Question If $$y=\tan ^{-1}\left(\frac{\log \left(\frac{\mathrm{e}}{x^2}\right)}{\log \left(e x^2\right)}\right)+\tan ^{-1}\left(\

View Question If the surface area of a spherical balloon of radius $$6 \mathrm{~cm}$$ is increasing at the rate $$2 \mathrm{~cm}^2 / \

View Question The value of $$\alpha$$, so that the volume of parallelopiped formed by $$\hat{i}+\alpha \hat{j}+\hat{k}, \hat{j}+\alpha

View Question In a certain culture of bacteria, the rate of increase is proportional to the number of bacteria present at that instant

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

View Question Mean and variance of six observations are 8 and 16 respectively. If each observation is multiplied by 3, then new varian

View Question The differential equation of all circles, passing through the origin and having their centres on the $$\mathrm{X}$$-axis

View Question $$\int_\limits0^1 \cos ^{-1} x d x=$$

View Question ## Physics

Two trains, each $$30 \mathrm{~m}$$ long are travelling in opposite directions with velocities $$5 \mathrm{~m} / \mathrm

View Question The fundamental frequency of air column in pipe 'A' closed at one end is in unison with second overtone of an air column

View Question In Young's double slit experiment, the two slits are 'd' distance apart. Interference pattern is observed on a screen at

View Question A black body radiates maximum energy at wavelength '$$\lambda$$' and its emissive power is 'E' Now due to change in temp

View Question In meter bridge experiment, null point was obtained at a distance '$$l$$' from left end. The values of resistances in th

View Question The magnetic field at the centre of a circular coil of radius '$$R$$', carrying current $$2 A$$ is '$$B_1$$'. The magnet

View Question If a capacitor of capacity $$900 ~\mu \mathrm{F}$$ is charged to $$100 \mathrm{~V}$$ and its total energy is transferred

View Question The equation of wave is $$Y=6 \sin$$ $$\left(12 \pi t-0.02 \pi x+\frac{\pi}{3}\right)$$ where '$$x$$' is in $$m$$ and '$

View Question With an alternating voltage source of frequency '$$f$$', inductor '$$L$$', capacitor '$$C$$' and resistance '$$R$$' are

View Question A pure $$\mathrm{Si}$$ crystal has $$4 \times 10^{28}$$ atoms per $$\mathrm{m}^3$$. It is doped by 1 ppm concentration o

View Question A mass '$$\mathrm{M}$$' moving with velocity '$$\mathrm{V}$$' along $$\mathrm{X}$$-axis collides and sticks to another m

View Question Which of the following graphs between pressure (P) and volume (V) correctly shows isochoric changes?

View Question A galvanometer has resistance '$$\mathrm{G}$$' and range '$$\mathrm{V} g$$'. How much resistance is required to read vol

View Question '$$n$$' number of liquid drops each of radius '$$r$$' coalesce to form a single drop of radius '$$R$$'. The energy relea

View Question What is the moment of inertia of the electron moving in second Bohr orbit of hydrogen atom? [ $$\mathrm{h}=$$ Planck's c

View Question At critical temperature, the surface tension of liquid is

View Question Two wires $$2 \mathrm{~mm}$$ apart supply current to a $$100 \mathrm{~V}, 1 \mathrm{~kW}$$ heater. The force per metre b

View Question A solenoid of 500 turns/m is carrying a current of 3 A. Its core is made of iron which has relative permeability 5001. T

View Question The ratio of the velocity of the electron in the first Bohr orbit to that in the second Bohr orbit of hydrogen atom is

View Question The capacitive reactance of a capacitor '$$C$$' is $$\mathrm{X} \Omega$$. Both, the frequency of a.c. supply and capacit

View Question A $$100 \mathrm{~mH}$$ coil carries a current of $$1 \mathrm{~A}$$. Energy stored in the form of magnetic field is

View Question A metal rod $$2 \mathrm{~m}$$ long increases in length by $$1.6 \mathrm{~mm}$$, when heated from $$0^{\circ} \mathrm{C}$

View Question Assume that an electric field $$\mathrm{E}=30 \mathrm{x}^2 \hat{\mathrm{i}}$$ exists in space. If '$$\mathrm{V}_0$$' is

View Question Two dielectric slabs having dielectric constant '$$\mathrm{K}_1$$' and '$$\mathrm{K}_2$$' of thickness $$\frac{\mathrm{d

View Question The output of an 'OR' gate is connected to both the inputs of a 'NAND' gate. The combination will serve as

View Question Which one of the operations of $$\mathrm{n}-\mathrm{p}-\mathrm{n}$$ transistor differs from that of $$p-n-p$$ transistor

View Question A hollow metal pipe is held vertically and bar magnet is dropped through it with its length along the axis of the pipe.

View Question A metal sphere of mass '$$m$$' and density '$$\sigma_1$$' falls with terminal velocity through a container containing li

View Question Two uniform wires of same material are vibrating under the same tension. If the first overtone of first wire is equal to

View Question A body is projected vertically from earth's surface with velocity equal to half the escape velocity. The maximum height

View Question A ball of mass '$$\mathrm{m}$$' is dropped from a height '$$\mathrm{s}$$' on a horizontal platform fixed at the top of a

View Question In the circuit given below, the current through inductor is $$0.9 \mathrm{~A}$$ and through the capacitor is $$0.6 \math

View Question A body is executing a linear S.H.M. Its potential energies at the displacement '$$\mathrm{x}$$' and '$$\mathrm{y}$$' are

View Question We have a jar filled with gas characterized by parameters $$\mathrm{P}, \mathrm{V}, \mathrm{T}$$ and another jar B fille

View Question Two spheres each of mass '$$M$$' and radius $$\frac{R}{2}$$ are connected at the ends of massless rod of length '$$2 R$$

View Question If the potential difference used to accelerate electrons is doubled, by what factor does the de-Broglie wavelength assoc

View Question A simple harmonic progressive wave is represented by $$y=A \sin (100 \pi t+3 x)$$. The distance between two points on th

View Question An insulated container contains a monoatomic gas of molar mass '$$\mathrm{m}$$'. The container is moving with velocity '

View Question To get three images of a single object, the angle between the two plane mirrors should be

View Question A parallel beam of monochromatic light falls normally on a single narrow slit. The angular width of the central maximum

View Question For the diagram shown, the resistances between points A and B when ideal diode D is forward biased is '$$R_1$$' and that

View Question The maximum kinetic energy of the photoelectrons varies

View Question Light waves from two coherent sources arrive at two points on a screen with path difference of zero and $$\frac{\lambda^

View Question A uniform rope of length '$$L$$' and mass '$$m_1$$' hangs vertically from a rigid support. A block of mass '$$m_2$$' is

View Question In a vessel, the ideal gas is at a pressure $$\mathrm{P}$$. If the mass of all the molecules is halved and their speed i

View Question Two concentric circular coils having radii $$r_1$$ and $$r_2\left(r_2

View Question A system consists of three particles each of mass '$$m_1$$' placed at the corners of an equilateral triangle of side '$$

View Question The moment of inertia of a uniform square plate about an axis perpendicular to its plane and passing through the centre

View Question Two lenses of power $$-15 \mathrm{D}$$ and $$+5 \mathrm{D}$$ are in contact with each other. The focal length of the com

View Question A particle performing uniform circular motion of radius $$\frac{\pi}{2} \mathrm{~m}$$ makes '$$\mathrm{x}$$' revolutions

View Question