MHT CET 2022 11th August Evening Shift
Paper was held on Thu, Aug 11, 2022 9:30 AM
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Chemistry

For the reaction $$\mathrm{N}_{2(\mathrm{~g})}+3 \mathrm{H}_{2(\mathrm{~g})} \rightarrow 2 \mathrm{NH}_{3(\mathrm{~g})}$
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Identify the products obtained when chlorine reacts with hot and conc. $$\mathrm{NaOH}$$.
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Which from following elements does NOT react with water?
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Identify the type of hybridization involved in hexaaminecobalt (III) complex ion.
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Calculate the solubility of a gas in water at $$0.8 \mathrm{~atm}$$ and $$25^{\circ} \mathrm{C}$$. [Henry's law constant
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What is the value of temperature in degree Celsius at absolute zero ?
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Which among the following reactions does NOT correctly match with its reagent?
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Which among the following compounds is NOT prepared by Sandmeyer's reaction ?
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Which among the following compounds undergoes SN$$^2$$ reaction fastly ?
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Which of the following molecules possesses highest dipole-dipole interactions ?
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What is the total volume occupied by atoms in bcc unit cell ?
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Which among the following metals is involved in preparation of Grignard reagent ?
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Which among the following properties of lanthanoids is NOT true?
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Which of the following is a Lewis acid but NOT a Bronsted acid?
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Which of the following aqueous solutions of salts will have highest $$\mathrm{pH}$$ value?
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Which among the following compounds represents a soap molecule?
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How long will it take to produce $$5.4 \mathrm{~g}$$ of $$\mathrm{Ag}$$ from molten $$\mathrm{AgCl}$$ by passing $$5 \ma
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Which of the following is NOT an example of secondary voltaic cell?
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What is the number of unpaired electrons in $$\left[\mathrm{Co}\left(\mathrm{NH}_3\right)_6\right]^{3+}$$ complex?
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Which among the following methods is used to prepare Grignard reagent?
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Calculate the density of metal having volume of unit cell $$64 \times 10^{-24} \mathrm{~cm}^3$$ and molar mass of metal
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Calculate the work done when 2 moles of an ideal gas expand from a volume of $$5 \mathrm{~dm}^3$$ to $$7 \times 10^{-3}
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Which among the following pair of monomers does not generate polyamide polymer?
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What type of following phenomena is NOT exhibited by adsorption?
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Find the rate constant of first order reaction in second having half life of 2.5 hours.
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Which nitrogen atom of pyrimidine base numbered from 1 to 6 is bonded with furanose sugar ?
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Identify the element with smallest ionic radius in +3 oxidation state from following.
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Identify the product in the following reaction.
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Which among following compounds possesses highest number of N atoms in it ?
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What is the bond order of CO molecule?
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Which of the following is NOT hydrogen like species?
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What is the intermediate compound formed when chlorobenzene is treated with fused $$\mathrm{NaOH}$$ under pressure?
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If rate of reaction is given as $$\frac{1}{3} \frac{\mathrm{d}[\mathrm{x}]}{\mathrm{dt}}=-\frac{1}{2} \frac{\mathrm{d}[\
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Which among the following compounds contains highest number of chlorine atoms in their single molecule ?
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What is the heat of formation of $$\mathrm{HCl}_{(\mathrm{g})}$$ from following equation? $$\mathrm{H}_{2(\mathrm{~g})}+
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Identify the concentration of the solution from following so that values of ,$$\Delta \mathrm{T}_{\mathrm{f}}$$ and $$\m
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What is the product formed when cumene is air oxidised in presence of Co-naphthenate and further treated with dilute aci
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Identify the use of polystyrene for household purposes.
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Identify compound $$\mathrm{A}$$ in following reaction Benzene + Ozone (excess) $$\rightarrow$$ Benzenetriozonide $$\xri
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Which from following pairs of compounds is an example of metamerism?
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If $$\mathrm{Q}$$ is the heat liberated from the system and $$\mathrm{W}$$ is the work done on the system then first law
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Calculate the number of atoms in 5 gram metal that crystallises to form simple cubic unit cell structure having edge len
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Identify the molecule in which central atom undergoes $$\mathrm{sp}^3$$ hybridisation?
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Which one of the following conversions does NOT involve either oxidation or reduction?
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Calculate $$\wedge_0$$ of $$\mathrm{CH}_2 \mathrm{ClCOOH}$$ if $$\wedge_0$$ for $$\mathrm{HCl}, \mathrm{KCl}$$ and $$\ma
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Identify the product A in the following reaction.
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Calculate the amount of solute dissolved in 160 gram solvent that boils at $$85^{\circ} \mathrm{C}$$, the molar mass of
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Identify ether from the following compounds.
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Which from following polymers is used to obtain bristles for brushes?
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What is the $$\mathrm{pH}$$ of $$2 \times 10^{-3} \mathrm{M}$$ solution of monoacidic weak base if it ionises to the ext
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Mathematics

$$\int_\limits{\frac{\pi}{4}}^{\frac{3 \pi}{4}} \frac{\mathrm{d} x}{1+\cos x}$$ is equal to
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If $$\tan ^{-1}\left(\frac{1-x}{1+x}\right)=\frac{1}{2} \tan ^{-1} x$$, then $$x$$ has the value
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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
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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 $$[
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If $$\bar{a}=\hat{\boldsymbol{i}}-\hat{\boldsymbol{k}}, \bar{b}=x \hat{\boldsymbol{i}}+\hat{\boldsymbol{j}}+(1-x) \hat{\
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If $$\cot (A+B)=0$$, then $$\sin (A+2 B)$$ is equal to
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The joint equation of pair of lines through the origin and making an equilateral triangle with the line $$y = 5$$ is
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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
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The general solution of the differential equation $$\frac{\mathrm{d} y}{\mathrm{~d} x}=\frac{3 x+y}{x-y}$$ is (where $$C
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If $$A=\left[\begin{array}{lll}1 & 2 & 1 \\ 3 & 1 & 3\end{array}\right]$$ and $$B=\left[\begin{array}{ll}2 & 3 \\ 1 & 2
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The distance between parallel lines $$\frac{x-1}{2}=\frac{y-2}{-2}=\frac{z-3}{1}$$ and $$\frac{x}{2}=\frac{y}{-2}=\frac{
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Maximum value of $$Z=5 x+2 y$$, subject to $$2 x-y \geq 2, x+2 y \leq 8$$ and $$x, y \geq 0$$ is
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The value of $$\sin \left(2 \sin ^{-1} 0.8\right)$$ is equal to
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A line makes the same angle '$$\alpha$$' with each of the $$x$$ and $$y$$ axes. If the angle '$$\theta$$', which it make
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The negation of the statement pattern $$p \vee(q \rightarrow \sim r)$$ is
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Let $$\bar{a}=\hat{\mathbf{i}}-2 \hat{\mathbf{j}}+\hat{\mathbf{k}}$$ and $$\bar{b}=\hat{\mathbf{i}}-\hat{\mathbf{j}}+\ha
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The incidence of occupational disease in an industry is such that the workmen have a $$10 \%$$ chance of suffering from
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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
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The variance and mean of 15 observations are respectively 6 and 10 . If each observation is increased by 8 then the new
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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
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The magnitude of the projection of the vector $$2 \hat{\mathbf{i}}+ 3\hat{\mathbf{j}}+\hat{\mathbf{k}}$$ on the vector p
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$$\matrix{ {f(x) = a{x^2} + bx + 1,} & {if} & {\left| {2x - 3} \right| \ge 2} \cr { = 3x + 2,} & {if} & {{1 \ove
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If $$\bar{a}=\hat{\boldsymbol{i}}+\hat{\boldsymbol{j}}+\hat{\boldsymbol{k}}, \bar{b}=\hat{\boldsymbol{i}}-\hat{\boldsymb
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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 $$O P Q
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The principal value of $$\sin ^{-1}\left(\sin \left(\frac{2 \pi}{3}\right)\right)$$ is
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The differential equation $$\frac{\mathrm{d} y}{\mathrm{~d} x}=\frac{\sqrt{1-y^2}}{y}$$ determines a family of circles w
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The value of the integral $$\int_\limits0^1 \sqrt{\frac{1-x}{1+x}} \mathrm{~d} x$$ is
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If a question paper consists of 11 questions divided into two sections I and II. Section I consists of 6 questions and s
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The area (in sq. units) of the region described by $$A=\left\{(x, y) / x^2+y^2 \leq 1\right.$$ and $$\left.y^2 \leq 1-x\
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A firm is manufacturing 2000 items. It is estimated that the rate of change of production $$P$$ with respect to addition
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$$\int \frac{3 x-2}{(x+1)(x-2)^2} \mathrm{~d} x=$$ (where $$C$$ is a constant of integration)
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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
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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
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If $$\lim _\limits{x \rightarrow 1} \frac{x^2-a x+b}{(x-1)}=5$$, then $$(a+b)$$ is equal to
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If $$y=\cos \left(\sin x^2\right)$$, then $$\frac{\mathrm{d} y}{\mathrm{~d} x}$$ at $$x=\sqrt{\frac{\pi}{2}}$$ is
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Two cards are drawn successively with replacement from a well shuffled pack of 52 cards. Then mean of number of kings is
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The polar co-ordinates of the point, whose Cartesian coordinates are $$(-2 \sqrt{3}, 2)$$, are
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Let $$z$$ be a complex number such that $$|z|+z=3+i, i=\sqrt{-1}$$, then $$|z|$$ is equal to
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Given $$A=\left[\begin{array}{ccc}x & 3 & 2 \\ 1 & y & 4 \\ 2 & 2 & z\end{array}\right]$$, if $$x y z=60$$ and $$8 x+4 y
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If $$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}
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$$\int_\limits0^2[x] \mathrm{d} x+\int_\limits0^2|x-1| \mathrm{d} x=$$ (where $$[x]$$ denotes the greatest integer funct
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The equations of the lines passing through the point $$(3,2)$$ and making an acute angle of $$45^{\circ}$$ with the line
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If $$[x]$$ is greatest integer function and $$2[2 x-5]-1=7$$, then $$x$$ lies in
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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
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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
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A spherical iron ball of $$10 \mathrm{~cm}$$ radius is coated with a layer of ice of uniform thickness that melts at the
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$$\int \frac{\sin \frac{5 x}{2}}{\sin \frac{x}{2}} d x=$$ (where $$C$$ is a constant of integration.)
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The equation of the plane passing through the points $$(2,3,1),(4,-5,3)$$ and parallel to $$X$$-axis is
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$$\text { If } \int e^{x^2} \cdot x^3 \mathrm{~d} x=e^{x^2} \cdot[f(x)+C]$$ (where $$C$$ is a constant of integration.)
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The negation of the statement, "The payment will be made if and only if the work is finished in time" is
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Physics

The magnetic susceptibility of the material of a rod is 349 and permeability of vacuum $$\mu_0$$ is $$4 \pi \times 10^{-
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The magnetic flux through a coil of resistance '$$R$$' changes by an amount '$$\Delta \phi$$' in time '$$\Delta \mathrm{
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A body weighs $$500 \mathrm{~N}$$ on the surface of the earth. At what distance below the surface of the earth it weighs
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Three discs $$\mathrm{x}, \mathrm{y}$$ and $$\mathrm{z}$$ having radii $$2 \mathrm{~m}, 3 \mathrm{~m}$$ and $$6 \mathrm{
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A stationary wave is represented by $$\mathrm{y}=10 \sin \left(\frac{\pi \mathrm{x}}{4}\right) \cos (20 \pi \mathrm{t})$
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When the rms velocity of a gas is denoted by '$$v$$', which one of the following relations is true? ($$\mathrm{T}=$$ Abs
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A parallel plate air capacitor has a uniform electric field 'E' in the space between the plates. Area of each plate is A
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Two massless springs of spring constant $$\mathrm{K}_1$$ and $$\mathrm{K}_2$$ are connected one after the other forming
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The time taken by a particle executing simple harmonic motion of period '$$\mathrm{T}$$', to move from the mean position
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Using Bohr's model, the orbital period of electron in hydrogen atom in the $$\mathrm{n}^{\text {th }}$$ orbit is $$\left
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A parallel plate capacitor is charged and then disconnected from the charging battery. If the plates are now moved furth
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If the kinetic energy of a free electron doubles, it's de Broglie wavelength ($$\lambda$$) changes by a factor
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In the following network, the current through galvanometer will
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In a medium, the phase difference between two particles separated by a distance '$$x$$' is $$\left(\frac{\pi}{5}\right)^
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The work done in blowing a soap bubble of radius $$\mathrm{R}$$ is '$$\mathrm{W}_1$$' at room temperature. Now the soap
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A capacitor of capacitance $$50 \mu \mathrm{F}$$ is connected to a.c. source $$\mathrm{e}=220 \sin 50 \mathrm{t}$$ ($$\m
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Two waves are superimposed whose ratio of intensities is $$9: 1$$. The ratio of maximum and minimum intensity is
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The masses and radii of the moon and the earth are $$\mathrm{M_1, R_1}$$ and $$\mathrm{M_2, R_2}$$ respectively. Their c
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A monoatomic gas $$\left(\gamma=\frac{5}{3}\right)$$ initially at $$27^{\circ} \mathrm{C}$$ having volume '$$\mathrm{V}$
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Two parallel conducting wires of equal length are placed distance 'd' apart, carry currents '$$\mathrm{I}_1$$' and '$$\m
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Self inductance of a solenoid cannot be increased by
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For a NAND gate, the inputs and outputs are given below. .tg {border-collapse:collapse;border-spacing:0;} .tg td{borde
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An electron and a proton having the same momenta enter perpendicularly into a magnetic field. What are their trajectorie
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The resistance offered by an inductor $$\left(X_L\right)$$ in an a.c. circuit is
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The force between the plates of a parallel plate capacitor of capacitance '$$\mathrm{C}$$' and distance of separation of
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Consider the following statements about stationary waves. A. The distance between two adjacent nodes or antinodes is equ
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If the radius of the spherical gaussian surface is increased then the electric flux due to a point charge enclosed by th
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The wave number of the last line of the Balmer series in hydrogen spectrum will be (Rydberg's constant $$=10^7 \mathrm{~
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A bucket containing water is revolved in a vertical circle of radius $$r$$. To prevent the water from falling down, the
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Two monatomic ideal gases A and B of molecular masses '$$m_1$$' and '$$m_2$$' respectively are enclosed in separate cont
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A particle starts oscillating simple harmonically from its mean position with time period '$$T$$'. At time $$t=\frac{T}{
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A hollow pipe of length $$0.8 \mathrm{~m}$$ is closed at one end. At its open end, a $$0.5 \mathrm{~m}$$ long uniform st
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A graph of magnetic flux $$(\phi)$$ versus current (I) is drawn for four inductors A, B, C, D. Larger value of self indu
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A parallel beam of monochromatic light falls normally on a single narrow slit. The angular width of the central maximum
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A body moving in a circular path with a constant speed has constant
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A steel coin of thickness '$$\mathrm{d}$$' and density '$$\rho$$' is floating on water of surface tension '$$T$$'. The r
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A door $$1.2 \mathrm{~m}$$ wide requires a force of $$1 \mathrm{~N}$$ to be applied perpendicular at the free end to ope
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The thermodynamic process in which no work is done on or by the gas is
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The given circuit has two ideal diodes $$D_1$$ and $$D_2$$ connected as shown in the figure. The current flowing through
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In a Fraunhofer diffraction at a single slit of width 'd' and incident light of wavelength $$5500 \mathop A\limits^o$$,
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A galvanometer of resistance $$200 \Omega$$ is to be converted into an ammeter. The value of shunt resistance which allo
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The speed of light in two media $$M_1$$ and $$M_2$$ are $$1.5 \times 10^8$$ $$\mathrm{m} / \mathrm{s}$$ and $$2 \times 1
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The minimum distance between an object and its real image formed by a convex lens of focal length 'f' is
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Heat given to a body, which raises its temperature by 1ºC is known as
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A shell is fired at an angle of $$30^{\circ}$$ to the horizontal with velocity $$196 \mathrm{~m} / \mathrm{s}$$. The tim
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Three equal charges '$$\mathrm{q}_1$$', '$$^{\prime} \mathrm{q}_2$$' and '$$\mathrm{q}_3$$' are placed on the three corn
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A coil having an inductance of $$\frac{1}{\pi} \mathrm{H}$$ is connected in series with a resistance of $$300 \Omega$$.
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In a full wave rectifier circuit without filter, the output current is
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The excess pressure inside a soap bubble of radius $$2 \mathrm{~cm}$$ is 50 dyne/cm$$^2$$. The surface tension is
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Two bodies of masses '$$\mathrm{m}$$' and '$$3 \mathrm{~m}$$' are rotating in horizontal speed of the body of mass '$$m$
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