MHT CET 2022 11th August Evening Shift

Paper was held on
Thu, Aug 11, 2022 9:30 AM

## Chemistry

For the reaction $$\mathrm{N}_{2(\mathrm{~g})}+3 \mathrm{H}_{2(\mathrm{~g})} \rightarrow 2 \mathrm{NH}_{3(\mathrm{~g})}$

View Question Identify the products obtained when chlorine reacts with hot and conc. $$\mathrm{NaOH}$$.

View Question Which from following elements does NOT react with water?

View Question Identify the type of hybridization involved in hexaaminecobalt (III) complex ion.

View Question Calculate the solubility of a gas in water at $$0.8 \mathrm{~atm}$$ and $$25^{\circ} \mathrm{C}$$.
[Henry's law constant

View Question What is the value of temperature in degree Celsius at absolute zero ?

View Question Which among the following reactions does NOT correctly match with its reagent?

View Question Which among the following compounds is NOT prepared by Sandmeyer's reaction ?

View Question Which among the following compounds undergoes SN$$^2$$ reaction fastly ?

View Question Which of the following molecules possesses highest dipole-dipole interactions ?

View Question What is the total volume occupied by atoms in bcc unit cell ?

View Question Which among the following metals is involved in preparation of Grignard reagent ?

View Question Which among the following properties of lanthanoids is NOT true?

View Question Which of the following is a Lewis acid but NOT a Bronsted acid?

View Question Which of the following aqueous solutions of salts will have highest $$\mathrm{pH}$$ value?

View Question Which among the following compounds represents a soap molecule?

View Question How long will it take to produce $$5.4 \mathrm{~g}$$ of $$\mathrm{Ag}$$ from molten $$\mathrm{AgCl}$$ by passing $$5 \ma

View Question Which of the following is NOT an example of secondary voltaic cell?

View Question What is the number of unpaired electrons in $$\left[\mathrm{Co}\left(\mathrm{NH}_3\right)_6\right]^{3+}$$ complex?

View Question Which among the following methods is used to prepare Grignard reagent?

View Question Calculate the density of metal having volume of unit cell $$64 \times 10^{-24} \mathrm{~cm}^3$$ and molar mass of metal

View Question Calculate the work done when 2 moles of an ideal gas expand from a volume of $$5 \mathrm{~dm}^3$$ to $$7 \times 10^{-3}

View Question Which among the following pair of monomers does not generate polyamide polymer?

View Question What type of following phenomena is NOT exhibited by adsorption?

View Question Find the rate constant of first order reaction in second having half life of 2.5 hours.

View Question Which nitrogen atom of pyrimidine base numbered from 1 to 6 is bonded with furanose sugar ?

View Question Identify the element with smallest ionic radius in +3 oxidation state from following.

View Question Identify the product in the following reaction.

View Question Which among following compounds possesses highest number of N atoms in it ?

View Question What is the bond order of CO molecule?

View Question Which of the following is NOT hydrogen like species?

View Question What is the intermediate compound formed when chlorobenzene is treated with fused $$\mathrm{NaOH}$$ under pressure?

View Question If rate of reaction is given as
$$\frac{1}{3} \frac{\mathrm{d}[\mathrm{x}]}{\mathrm{dt}}=-\frac{1}{2} \frac{\mathrm{d}[\

View Question Which among the following compounds contains highest number of chlorine atoms in their single molecule ?

View Question What is the heat of formation of $$\mathrm{HCl}_{(\mathrm{g})}$$ from following equation?
$$\mathrm{H}_{2(\mathrm{~g})}+

View Question Identify the concentration of the solution from following so that values of ,$$\Delta \mathrm{T}_{\mathrm{f}}$$ and $$\m

View Question What is the product formed when cumene is air oxidised in presence of Co-naphthenate and further treated with dilute aci

View Question Identify the use of polystyrene for household purposes.

View Question Identify compound $$\mathrm{A}$$ in following reaction
Benzene + Ozone (excess) $$\rightarrow$$ Benzenetriozonide $$\xri

View Question Which from following pairs of compounds is an example of metamerism?

View Question If $$\mathrm{Q}$$ is the heat liberated from the system and $$\mathrm{W}$$ is the work done on the system then first law

View Question Calculate the number of atoms in 5 gram metal that crystallises to form simple cubic unit cell structure having edge len

View Question Identify the molecule in which central atom undergoes $$\mathrm{sp}^3$$ hybridisation?

View Question Which one of the following conversions does NOT involve either oxidation or reduction?

View Question Calculate $$\wedge_0$$ of $$\mathrm{CH}_2 \mathrm{ClCOOH}$$ if $$\wedge_0$$ for $$\mathrm{HCl}, \mathrm{KCl}$$ and $$\ma

View Question Identify the product A in the following reaction.

View Question Calculate the amount of solute dissolved in 160 gram solvent that boils at $$85^{\circ} \mathrm{C}$$, the molar mass of

View Question Identify ether from the following compounds.

View Question Which from following polymers is used to obtain bristles for brushes?

View Question What is the $$\mathrm{pH}$$ of $$2 \times 10^{-3} \mathrm{M}$$ solution of monoacidic weak base if it ionises to the ext

View Question ## Mathematics

$$\int_\limits{\frac{\pi}{4}}^{\frac{3 \pi}{4}} \frac{\mathrm{d} x}{1+\cos x}$$ is equal to

View Question If $$\tan ^{-1}\left(\frac{1-x}{1+x}\right)=\frac{1}{2} \tan ^{-1} x$$, then $$x$$ has the value

View Question If $$p: \forall n \in I N, n^2+n$$ is an even number $$q: \forall n \in I N, n^2-n$$ is an odd numer, then the truth val

View Question If the function $$f(x)=x^3-3(a-2) x^2+3 a x+7$$, for some $$a \in I R$$ is increasing in $$(0,1]$$ and decreasing in $$[

View Question If $$\bar{a}=\hat{\boldsymbol{i}}-\hat{\boldsymbol{k}}, \bar{b}=x \hat{\boldsymbol{i}}+\hat{\boldsymbol{j}}+(1-x) \hat{\

View Question If $$\cot (A+B)=0$$, then $$\sin (A+2 B)$$ is equal to

View Question The joint equation of pair of lines through the origin and making an equilateral triangle with the line $$y = 5$$ is

View Question If $$f(x)=\sqrt{\tan x}$$ and $$g(x)=\sin x \cdot \cos x$$ then $$\int \frac{f(x)}{g(x)} \mathrm{d} x$$ is equal to (whe

View Question The general solution of the differential equation $$\frac{\mathrm{d} y}{\mathrm{~d} x}=\frac{3 x+y}{x-y}$$ is (where $$C

View Question If $$A=\left[\begin{array}{lll}1 & 2 & 1 \\ 3 & 1 & 3\end{array}\right]$$ and $$B=\left[\begin{array}{ll}2 & 3 \\ 1 & 2

View Question The distance between parallel lines $$\frac{x-1}{2}=\frac{y-2}{-2}=\frac{z-3}{1}$$ and $$\frac{x}{2}=\frac{y}{-2}=\frac{

View Question Maximum value of $$Z=5 x+2 y$$, subject to $$2 x-y \geq 2, x+2 y \leq 8$$ and $$x, y \geq 0$$ is

View Question The value of $$\sin \left(2 \sin ^{-1} 0.8\right)$$ is equal to

View Question A line makes the same angle '$$\alpha$$' with each of the $$x$$ and $$y$$ axes. If the angle '$$\theta$$', which it make

View Question The negation of the statement pattern $$p \vee(q \rightarrow \sim r)$$ is

View Question Let $$\bar{a}=\hat{\mathbf{i}}-2 \hat{\mathbf{j}}+\hat{\mathbf{k}}$$ and $$\bar{b}=\hat{\mathbf{i}}-\hat{\mathbf{j}}+\ha

View Question The incidence of occupational disease in an industry is such that the workmen have a $$10 \%$$ chance of suffering from

View Question If $$y=\log \sqrt{\frac{1+\sin x}{1-\sin x}}$$, then $$\frac{\mathrm{d} y}{\mathrm{~d} x}$$ at $$x=\frac{\pi}{3}$$ is

View Question The variance and mean of 15 observations are respectively 6 and 10 . If each observation is increased by 8 then the new

View Question If $$y=\sin \left(2 \tan ^{-1} \sqrt{\frac{1+x}{1-x}}\right)$$ then $$\frac{\mathrm{d} y}{\mathrm{~d} x}$$ is equal to

View Question The magnitude of the projection of the vector $$2 \hat{\mathbf{i}}+ 3\hat{\mathbf{j}}+\hat{\mathbf{k}}$$ on the vector p

View Question $$\matrix{
{f(x) = a{x^2} + bx + 1,} & {if} & {\left| {2x - 3} \right| \ge 2} \cr
{ = 3x + 2,} & {if} & {{1 \ove

View Question If $$\bar{a}=\hat{\boldsymbol{i}}+\hat{\boldsymbol{j}}+\hat{\boldsymbol{k}}, \bar{b}=\hat{\boldsymbol{i}}-\hat{\boldsymb

View Question A tetrahedron has verticles $$P(1,2,1), Q(2,1,3), R(-1,1,2)$$ and $$O(0,0,0)$$. Then the angle between the faces $$O P Q

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

View Question The differential equation $$\frac{\mathrm{d} y}{\mathrm{~d} x}=\frac{\sqrt{1-y^2}}{y}$$ determines a family of circles w

View Question The value of the integral $$\int_\limits0^1 \sqrt{\frac{1-x}{1+x}} \mathrm{~d} x$$ is

View Question If a question paper consists of 11 questions divided into two sections I and II. Section I consists of 6 questions and s

View Question The area (in sq. units) of the region described by $$A=\left\{(x, y) / x^2+y^2 \leq 1\right.$$ and $$\left.y^2 \leq 1-x\

View Question A firm is manufacturing 2000 items. It is estimated that the rate of change of production $$P$$ with respect to addition

View Question $$\int \frac{3 x-2}{(x+1)(x-2)^2} \mathrm{~d} x=$$
(where $$C$$ is a constant of integration)

View Question If the normal to the curve $$y=f(x)$$ at the point $$(3,4)$$ makes an angle $$\left(\frac{3 \pi}{4}\right)^c$$ with posi

View Question If $$P(A \cup B)=0.7, P(A \cap B)=0.2$$, then $$P\left(A^{\prime}\right)+P\left(B^{\prime}\right)$$ is

View Question If $$\lim _\limits{x \rightarrow 1} \frac{x^2-a x+b}{(x-1)}=5$$, then $$(a+b)$$ is equal to

View Question If $$y=\cos \left(\sin x^2\right)$$, then $$\frac{\mathrm{d} y}{\mathrm{~d} x}$$ at $$x=\sqrt{\frac{\pi}{2}}$$ is

View Question Two cards are drawn successively with replacement from a well shuffled pack of 52 cards. Then mean of number of kings is

View Question The polar co-ordinates of the point, whose Cartesian coordinates are $$(-2 \sqrt{3}, 2)$$, are

View Question Let $$z$$ be a complex number such that $$|z|+z=3+i, i=\sqrt{-1}$$, then $$|z|$$ is equal to

View Question Given $$A=\left[\begin{array}{ccc}x & 3 & 2 \\ 1 & y & 4 \\ 2 & 2 & z\end{array}\right]$$, if $$x y z=60$$ and $$8 x+4 y

View Question If $$y^{\frac{1}{m}}+y^{\frac{-1}{m}}=2 x, x \neq 1$$, then $$\left(x^2-1\right)\left(\frac{\mathrm{d} y}{\mathrm{~d} x}

View Question $$\int_\limits0^2[x] \mathrm{d} x+\int_\limits0^2|x-1| \mathrm{d} x=$$
(where $$[x]$$ denotes the greatest integer funct

View Question The equations of the lines passing through the point $$(3,2)$$ and making an acute angle of $$45^{\circ}$$ with the line

View Question If $$[x]$$ is greatest integer function and $$2[2 x-5]-1=7$$, then $$x$$ lies in

View Question The Cartesian equation of a line passing through $$(1,2,3)$$ and parallel to $$x-y+2 z=5$$ and $$3 x+y+z=6$$ is

View Question If the lines $$3 x-4 y-7=0$$ and $$2 x-3 y-5=0$$ pass through diameters of a circle of area $$49 \pi$$ square units, the

View Question A spherical iron ball of $$10 \mathrm{~cm}$$ radius is coated with a layer of ice of uniform thickness that melts at the

View Question $$\int \frac{\sin \frac{5 x}{2}}{\sin \frac{x}{2}} d x=$$
(where $$C$$ is a constant of integration.)

View Question The equation of the plane passing through the points $$(2,3,1),(4,-5,3)$$ and parallel to $$X$$-axis is

View Question $$\text { If } \int e^{x^2} \cdot x^3 \mathrm{~d} x=e^{x^2} \cdot[f(x)+C]$$
(where $$C$$ is a constant of integration.)

View Question The negation of the statement, "The payment will be made if and only if the work is finished in time" is

View Question ## Physics

The magnetic susceptibility of the material of a rod is 349 and permeability of vacuum $$\mu_0$$ is $$4 \pi \times 10^{-

View Question The magnetic flux through a coil of resistance '$$R$$' changes by an amount '$$\Delta \phi$$' in time '$$\Delta \mathrm{

View Question A body weighs $$500 \mathrm{~N}$$ on the surface of the earth. At what distance below the surface of the earth it weighs

View Question Three discs $$\mathrm{x}, \mathrm{y}$$ and $$\mathrm{z}$$ having radii $$2 \mathrm{~m}, 3 \mathrm{~m}$$ and $$6 \mathrm{

View Question A stationary wave is represented by
$$\mathrm{y}=10 \sin \left(\frac{\pi \mathrm{x}}{4}\right) \cos (20 \pi \mathrm{t})$

View Question When the rms velocity of a gas is denoted by '$$v$$', which one of the following relations is true?
($$\mathrm{T}=$$ Abs

View Question A parallel plate air capacitor has a uniform electric field 'E' in the space between the plates. Area of each plate is A

View Question Two massless springs of spring constant $$\mathrm{K}_1$$ and $$\mathrm{K}_2$$ are connected one after the other forming

View Question The time taken by a particle executing simple harmonic motion of period '$$\mathrm{T}$$', to move from the mean position

View Question Using Bohr's model, the orbital period of electron in hydrogen atom in the $$\mathrm{n}^{\text {th }}$$ orbit is $$\left

View Question A parallel plate capacitor is charged and then disconnected from the charging battery. If the plates are now moved furth

View Question If the kinetic energy of a free electron doubles, it's de Broglie wavelength ($$\lambda$$) changes by a factor

View Question In the following network, the current through galvanometer will

View Question In a medium, the phase difference between two particles separated by a distance '$$x$$' is $$\left(\frac{\pi}{5}\right)^

View Question The work done in blowing a soap bubble of radius $$\mathrm{R}$$ is '$$\mathrm{W}_1$$' at room temperature. Now the soap

View Question A capacitor of capacitance $$50 \mu \mathrm{F}$$ is connected to a.c. source $$\mathrm{e}=220 \sin 50 \mathrm{t}$$ ($$\m

View Question Two waves are superimposed whose ratio of intensities is $$9: 1$$. The ratio of maximum and minimum intensity is

View Question The masses and radii of the moon and the earth are $$\mathrm{M_1, R_1}$$ and $$\mathrm{M_2, R_2}$$ respectively. Their c

View Question A monoatomic gas $$\left(\gamma=\frac{5}{3}\right)$$ initially at $$27^{\circ} \mathrm{C}$$ having volume '$$\mathrm{V}$

View Question Two parallel conducting wires of equal length are placed distance 'd' apart, carry currents '$$\mathrm{I}_1$$' and '$$\m

View Question Self inductance of a solenoid cannot be increased by

View Question For a NAND gate, the inputs and outputs are given below.
.tg {border-collapse:collapse;border-spacing:0;}
.tg td{borde

View Question An electron and a proton having the same momenta enter perpendicularly into a magnetic field. What are their trajectorie

View Question The resistance offered by an inductor $$\left(X_L\right)$$ in an a.c. circuit is

View Question The force between the plates of a parallel plate capacitor of capacitance '$$\mathrm{C}$$' and distance of separation of

View Question Consider the following statements about stationary waves.
A. The distance between two adjacent nodes or antinodes is equ

View Question If the radius of the spherical gaussian surface is increased then the electric flux due to a point charge enclosed by th

View Question The wave number of the last line of the Balmer series in hydrogen spectrum will be
(Rydberg's constant $$=10^7 \mathrm{~

View Question A bucket containing water is revolved in a vertical circle of radius $$r$$. To prevent the water from falling down, the

View Question Two monatomic ideal gases A and B of molecular masses '$$m_1$$' and '$$m_2$$' respectively are enclosed in separate cont

View Question A particle starts oscillating simple harmonically from its mean position with time period '$$T$$'. At time $$t=\frac{T}{

View Question A hollow pipe of length $$0.8 \mathrm{~m}$$ is closed at one end. At its open end, a $$0.5 \mathrm{~m}$$ long uniform st

View Question A graph of magnetic flux $$(\phi)$$ versus current (I) is drawn for four inductors A, B, C, D. Larger value of self indu

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

View Question A body moving in a circular path with a constant speed has constant

View Question A steel coin of thickness '$$\mathrm{d}$$' and density '$$\rho$$' is floating on water of surface tension '$$T$$'. The r

View Question A door $$1.2 \mathrm{~m}$$ wide requires a force of $$1 \mathrm{~N}$$ to be applied perpendicular at the free end to ope

View Question The thermodynamic process in which no work is done on or by the gas is

View Question The given circuit has two ideal diodes $$D_1$$ and $$D_2$$ connected as shown in the figure. The current flowing through

View Question In a Fraunhofer diffraction at a single slit of width 'd' and incident light of wavelength $$5500 \mathop A\limits^o$$,

View Question A galvanometer of resistance $$200 \Omega$$ is to be converted into an ammeter. The value of shunt resistance which allo

View Question The speed of light in two media $$M_1$$ and $$M_2$$ are $$1.5 \times 10^8$$ $$\mathrm{m} / \mathrm{s}$$ and $$2 \times 1

View Question The minimum distance between an object and its real image formed by a convex lens of focal length 'f' is

View Question Heat given to a body, which raises its temperature by 1ºC is known as

View Question A shell is fired at an angle of $$30^{\circ}$$ to the horizontal with velocity $$196 \mathrm{~m} / \mathrm{s}$$. The tim

View Question Three equal charges '$$\mathrm{q}_1$$', '$$^{\prime} \mathrm{q}_2$$' and '$$\mathrm{q}_3$$' are placed on the three corn

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 In a full wave rectifier circuit without filter, the output current is

View Question The excess pressure inside a soap bubble of radius $$2 \mathrm{~cm}$$ is 50 dyne/cm$$^2$$. The surface tension is

View Question Two bodies of masses '$$\mathrm{m}$$' and '$$3 \mathrm{~m}$$' are rotating in horizontal speed of the body of mass '$$m$

View Question