MHT CET 2023 12th May Morning Shift
Paper was held on Fri, May 12, 2023 3:30 AM
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Chemistry

Find $$[\mathrm{OH}]$$ if a monoacidic base is $$3 \%$$ ionised in its $$0.04 \mathrm{~M}$$ solution.
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Calculate $$\Delta \mathrm{G}^{\circ}$$ for the reaction $$\mathrm{Mg}_{(\mathrm{s})}+\mathrm{Sn}_{(\mathrm{aq})}^{++} \
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If lattice enthalpy and hydration enthalpy of $$\mathrm{KCl}$$ are $$699 \mathrm{~kJ} \mathrm{~mol}^{-1}$$ and $$-681.8
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Which of the following compounds does NOT undergo Williamson's synthesis?
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What is the expression for solubility product of silver chromate if it's solubility is expressed as $$\mathrm{S} \mathrm
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Which from following is a non-ferrous alloy?
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What are the number of octahedral and tetrahedral voids in 0.3 mole substance respectively if it forms hcp structure?
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Calculate the molar mass of an element having density $$7.8 \mathrm{~g} \mathrm{~cm}^{-3}$$ that forms bcc unit cell. $$
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Which among the following compounds exhibits +2 oxidation state of oxygen?
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Identify substrate $$\mathrm{A}$$ in the following reaction. $$\mathrm{A}+\mathrm{AgOH} \underset{\mathrm{ii)}~\Delta}{\
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What volume of $$\mathrm{CO}_{2(\mathrm{~g})}$$ at STP is obtained by complete combustion of $$6 \mathrm{~g}$$ carbon?
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Identify the chiral molecule from the following.
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Calculate the time needed for reactant to decompose $$99.9 \%$$ if rate constant of first order reaction is 0.576 minute
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What is the number of moles of $$\mathrm{sp}^3$$ hybrid carbon atoms in one mole of 2-Methylbut-2-ene?
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Identify major product $$\mathrm{A}$$ in following reaction. 3-Bromo-2-methylpentane $$\mathrm{\mathrel{\mathop{\kern0pt
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For reaction, $$\mathrm{CO}_{(\mathrm{g})}+\frac{1}{2} \mathrm{O}_{2(\mathrm{~g})} \longrightarrow \mathrm{CO}_{2(\mathr
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Identify the example of zero-dimensional nanostructure from following.
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What is $$\mathrm{pH}$$ of solution containing $$50 \mathrm{~mL}$$ each of $$0.1 \mathrm{~M}$$ sodium acetate and $$0.01
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Calculate amount of methane formed by liberation of $$149.6 \mathrm{~kJ}$$ of heat using following equation. $$\mathrm{C
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Which from following polymers is used to obtain tyre cords?
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Electrolytic cells containing $$\mathrm{Zn}$$ and $$\mathrm{Al}$$ salt solutions are connected in series. If $$6.5 \math
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What type of glycosidic linkages are present in cellulose?
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Calculate the rate constant of first order reaction if half life of reaction is 40 minutes.
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Identify product '$$B$$' in following sequence of reactions. 2n Propanone $$\mathrm{\buildrel {Ba{{(OH)}_2}} \over \lon
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Identify rate law expression for $$2 \mathrm{NO}_{(\mathrm{g})}+\mathrm{Cl}_{2(\mathrm{~g})} \rightarrow 2 \mathrm{NOCl}
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Which among the following solutions has minimum boiling point elevation?
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Calculate osmotic pressure of solution of 0.025 mole glucose in $$100 \mathrm{~mL}$$ water at $$300 \mathrm{~K}$$. $$\le
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Which from following is a neutral ligand?
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How many isomers of $$\mathrm{C}_4 \mathrm{H}_{11} \mathrm{~N}$$ are tertiary amines?
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Which element from following exhibits diagonal relationship with $$\mathrm{Mg}$$ ?
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Identify the good conductor of electricity from following band gap energy values of solids. .tg {border-collapse:colla
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Identify the product obtained when ethoxybenzene reacts with hot and concentrated $$\mathrm{HI}$$.
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Identify thermosetting polymer from following
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Which from following phenomena is inversely proportional with adsorption?
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Calculate the frequency of blue light having wavelength $$440 \mathrm{~nm}$$.
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Which from following elements is NOT radioactive?
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Which from following is strongest reducing agent?
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What is the numerical value of spin only magnetic moment of copper in +2 state?
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Identify the element having highest density from following.
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What is the shape of $$\mathrm{AB}_4 \mathrm{E}$$ type of molecule according to VSEPR?
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The molecular formula of hexachlorobenzene is
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What is the value of specific rotation exhibited by fructose molecule?
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Which of the following reactions is Rosenmund reduction?
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Which from following complexes contains only anionic ligands?
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A hot air balloon has volume of $$2000 \mathrm{~dm}^3$$ at $$99^{\circ} \mathrm{C}$$. What is the new volume if air in b
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Identify the product obtained in following reaction. n $$\mathrm{CH}_3 \mathrm{MgI}+\mathrm{H}_2 \mathrm{O} \stackrel{\t
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Which of following pairs is an example of isoelectronic species?
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Which from following compounds is obtained when anisole is heated with dilute sulfuric acid?
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Calculate molality of solution of a nonvolatile solute having boiling point elevation $$1.89 \mathrm{~K}$$ if boiling po
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What type of following phenomena does the Cannizzaro reaction exhibit?
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Mathematics

If $$\overline{\mathrm{a}}, \overline{\mathrm{b}}, \overline{\mathrm{c}}$$ are three vectors, $$|\overline{\mathrm{a}}|=
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The centroid of tetrahedron with vertices at $$\mathrm{A}(-1,2,3), \mathrm{B}(3,-2,1), \mathrm{C}(2,1,3)$$ and $$\mathrm
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Two adjacent sides of a parallelogram $$\mathrm{ABCD}$$ are given by $$\overline{A B}=2 \hat{i}+10 \hat{j}+1 \hat{k}$$ a
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The values of $$a$$ and $$b$$, so that the function $$f(x)=\left\{\begin{array}{l} x+a \sqrt{2} \sin x, 0 \leq x \leq \f
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For a feasible region OCDBO given below, the maximum value of the objective function $$z=3 x+4 y$$ is
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If $$\mathrm{g}(x)=1+\sqrt{x}$$ and $$\mathrm{f}(\mathrm{g}(x))=3+2 \sqrt{x}+x$$ then $$\mathrm{f}(\mathrm{f}(x))$$ is
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The approximate value of $$\sin \left(60^{\circ} 0^{\prime} 10^{\prime \prime}\right)$$ is (given that $$\sqrt{3}=1.732,
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The decay rate of radio active material at any time $$t$$ is proportional to its mass at that time. The mass is 27 grams
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The derivative of $$\mathrm{f}(\tan x)$$ w.r.t. $$\mathrm{g}(\sec x)$$ at $$x=\frac{\pi}{4}$$ where $$\mathrm{f}^{\prime
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The p.m.f of random variate $$\mathrm{X}$$ is $$P(X)= \begin{cases}\frac{2 x}{\mathrm{n}(\mathrm{n}+1)}, & x=1,2,3, \ldo
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The angle between the tangents to the curves $$y=2 x^2$$ and $$x=2 y^2$$ at $$(1,1)$$ is
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If the area of the triangle with vertices $$(1,2,0)$$, $$(1,0,2)$$ and $$(0, x, 1)$$ is $$\sqrt{6}$$ square units, then
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An experiment succeeds twice as often as it fails. Then the probability, that in the next 6 trials there will be atleast
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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
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If $$x=\operatorname{cosec}\left(\tan ^{-1}\left(\cos \left(\cot ^{-1}\left(\sec \left(\sin ^{-1} a\right)\right)\right)
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Let $$\overline{\mathrm{A}}$$ be a vector parallel to line of intersection of planes $$P_1$$ and $$P_2$$ through origin.
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$$\int \frac{\operatorname{cosec} x d x}{\cos ^2\left(1+\log \tan \frac{x}{2}\right)}=$$
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If the variance of the numbers $$-1,0,1, \mathrm{k}$$ is 5, where $$\mathrm{k} > 0$$, then $$\mathrm{k}$$ is equal to
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The differential equation $$\cos (x+y) \mathrm{d} y=\mathrm{d} x$$ has the general solution given by
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The area of the region bounded by the curves $$y=\mathrm{e}^x, y=\log x$$ and lines $$x=1, x=2$$ is
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If $$x=-1$$ and $$x=2$$ are extreme points of $$\mathrm{f}(x)=\alpha \log x+\beta x^2+x, \alpha$$ and $$\beta$$ are cons
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A plane is parallel to two lines whose direction ratios are $$1,0,-1$$ and $$-1,1,0$$ and it contains the point $$(1,1,1
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The function $$\mathrm{f}(x)=\sin ^4 x+\cos ^4 x$$ is increasing in
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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
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The integral $$\int \frac{\sin ^2 x \cos ^2 x}{\left(\sin ^5 x+\cos ^3 x \sin ^2 x+\sin ^3 x \cos ^2 x+\cos ^5 x\right)^
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The equation of the plane through $$(-1,1,2)$$ whose normal makes equal acute angles with co-ordinate axes is
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If $$\mathrm{T}_{\mathrm{n}}$$ denotes the number of triangles which can be formed using the vertices of regular polygon
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Two cards are drawn successively with replacement from a well shuffled pack of 52 cards. Then the probability distributi
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If $$\tan \theta=\frac{\sin \alpha-\cos \alpha}{\sin \alpha+\cos \alpha}, 0 \leq \alpha \leq \frac{\pi}{2}$$, then the v
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The solution set of $$8 \cos ^2 \theta+14 \cos \theta+5=0$$, in the interval $$[0,2 \pi]$$, is
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A ladder 5 meters long rests against a vertical wall. If its top slides downwards at the rate of $$10 \mathrm{~cm} / \ma
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If $$\frac{\mathrm{d} y}{\mathrm{~d} x}=y+3$$ and $$y(0)=2$$, then $$y(\log 2)=$$
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$$\text { If } \log (x+y)=2 x y \text {, then } \frac{\mathrm{d} y}{\mathrm{~d} x} \text { at } x=0 \text { is }$$
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If general solution of $$\cos ^2 \theta-2 \sin \theta+\frac{1}{4}=0$$ is $$\theta=\frac{\mathrm{n} \pi}{\mathrm{A}}+(-1)
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$$\overline{\mathrm{u}}, \overline{\mathrm{v}}, \overline{\mathrm{w}}$$ are three vectors such that $$|\overline{\mathrm
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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
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$$\mathrm{A}$$ and $$\mathrm{B}$$ are independent events with $$\mathrm{P}(\mathrm{A})=\frac{1}{4}$$ and $$\mathrm{P}(\m
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$$\int \frac{x^2+1}{x\left(x^2-1\right)} \mathrm{d} x=$$
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If the matrix $$\mathrm{A}=\left[\begin{array}{cc}1 & 2 \\ -5 & 1\end{array}\right]$$ and $$\mathrm{A}^{-1}=x \mathrm{~A
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The inverse of the statement "If the surface area increase, then the pressure decreases.", is
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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
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The contrapositive of "If $$x$$ and $$y$$ are integers such that $$x y$$ is odd, then both $$x$$ and $$y$$ are odd" is
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$$y=(1+x)\left(1+x^2\right)\left(1+x^4\right) \ldots \ldots \ldots\left(1+x^{2 n}\right)$$, then the value of $$\frac{\m
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$$\lim _\limits{x \rightarrow 0} \frac{\cos 7 x^{\circ}-\cos 2 x^{\circ}}{x^2}$$ is
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$$\int_\limits0^4|2 x-5| d x=$$
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If $$\lambda$$ is the perpendicular distance of a point $$\mathrm{P}$$ on the circle $$x^2+y^2+2 x+2 y-3=0$$, from the l
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If the line $$\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
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The value of $$\sin \left(\cot ^{-1} x\right)$$ is
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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 $$\mathrm{c
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Let $$\mathrm{PQR}$$ be a right angled isosceles triangle, right angled at $$\mathrm{P}(2,1)$$. If the equation of the l
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Physics

A uniform string is vibrating with a fundamental frequency '$$n$$'. If radius and length of string both are doubled keep
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Let $$\gamma_1$$ be the ratio of molar specific heat at constant pressure and molar specific heat at constant volume of
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A railway track is banked for a speed ',$$v$$' by elevating outer rail by a height '$$h$$' above the inner rail. The dis
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In the given capacitive network the resultant capacitance between point $$\mathrm{A}$$ and $$\mathrm{B}$$ is
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In Young's double slit experiment the intensities at two points, for the path difference $$\frac{\lambda}{4}$$ and $$\fr
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A simple pendulum performs simple harmonic motion about $$\mathrm{x}=0$$ with an amplitude '$$\mathrm{a}$$' and time per
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The molar specific heat of an ideal gas at constant pressure and constant volume is $$\mathrm{C}_{\mathrm{p}}$$ and $$\m
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Resistance of a potentiometer wire is $$2 \Omega / \mathrm{m}$$. A cell of e.m.f. $$1.5 \mathrm{~V}$$ balances at $$300
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$$\mathrm{A}, \mathrm{B}$$ and $$\mathrm{C}$$ are three parallel conductors of equal lengths and carry currents I, I and
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Two electric dipoles of moment $$\mathrm{P}$$ and $$27 \mathrm{P}$$ are placed on a line with their centres $$24 \mathrm
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Converging or diverging ability of a lens or mirror is called
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The following logic gate combination is equivalent to
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Radiations of two photons having energies twice and five times the work function of metal are incident successively on m
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Time period of simple pendulum on earth's surface is '$$\mathrm{T}$$'. Its time period becomes '$$\mathrm{xT}$$' when ta
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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
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In Lyman series, series limit of wavelength is $$\lambda_1$$. The wavelength of first line of Lyman series is $$\lambda_
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The magnetic moment of a current (I) carrying circular coil of radius '$$r$$' and number of turns '$$n$$' depends on
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A spherical drop of liquid splits into 1000 identical spherical drops. If '$$\mathrm{E}_1$$' is the surface energy of th
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The displacement of two sinusoidal waves is given by the equation $$\begin{aligned} & \mathrm{y}_1=8 \sin (20 \mathrm{x}
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$$I_1$$ is the moment of inertia of a circular disc about an axis passing through its centre and perpendicular to the pl
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The equivalent capacity between terminal $$\mathrm{A}$$ and $$\mathrm{B}$$ is
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Two similar coils each of radius $$\mathrm{R}$$ are lying concentrically with their planes at right angles to each other
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The logic gate combination circuit shown in the figure performs the logic function of
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Two sounding sources send waves at certain temperature in air of wavelength $$50 \mathrm{~cm}$$ and $$50.5 \mathrm{~cm}$
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In the given circuit, r.m.s. value of current through the resistor $$\mathrm{R}$$ is
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A particle of mass '$$m$$' moving east ward with a speed '$$v$$' collides with another particle of same mass moving nort
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The height at which the weight of the body becomes $$\left(\frac{1}{9}\right)^{\text {th }}$$ its weight on the surface
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A single turn current loop in the shape of a right angle triangle with side $$5 \mathrm{~cm}, 12 \mathrm{~cm}, 13 \mathr
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41 tuning forks are arranged in increasing order of frequency such that each produces 5 beats/second with next tuning fo
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In two separate setups for Biprism experiment using same wavelength, fringes of equal width are obtained. If ratio of sl
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A composite slab consists of two materials having coefficient of thermal conductivity $$\mathrm{K}$$ and $$2 \mathrm{~K}
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A black sphere has radius '$$R$$' whose rate of radiation is '$$E$$' at temperature '$$T$$'. If radius is made $$R / 3$$
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The potential on the plates of capacitor are $$+20 \mathrm{~V}$$ and $$-20 \mathrm{~V}$$. The charge on the plate is $$4
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A thin uniform circular disc of mass '$$\mathrm{M}$$' and radius '$$R$$' is rotating with angular velocity '$$\omega$$',
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A gas at normal temperature is suddenly compressed to one-fourth of its original volume. If $$\frac{\mathrm{C}_{\mathrm{
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When light of wavelength $$\lambda$$ is incident on a photosensitive surface the stopping potential is '$$\mathrm{V}$$'.
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One of the necessary condition for total internal reflection to take place is ( $$\mathrm{i}=$$ angle of incidence, $$\m
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In the given circuit, if $$\frac{\mathrm{dI}}{\mathrm{dt}}=-1 \mathrm{~A} / \mathrm{s}$$ then the value of $$\left(V_A-V
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An inductor of $$0.5 \mathrm{~mH}$$, a capacitor of $$20 ~\mu \mathrm{F}$$ and a resistance of $$20 \Omega$$ are connect
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The wavelength of radiation emitted is '$$\lambda_0$$' when an electron jumps from the second excited state to the first
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Two particles having mass '$$M$$' and '$$m$$' are moving in a circular path with radius '$$R$$' and '$$r$$' respectively
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The excess pressure inside a first spherical drop of water is three times that of second spherical drop of water. Then t
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When forward bias is applied to a p-n junction, then what happens to the potential barrier $$\left(V_B\right)$$ and the
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Two inductors of $$60 \mathrm{~mH}$$ each are joined in parallel. The current passing through this combination is $$2.2
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A beam of light is incident on a glass plate at an angle of $$60^{\circ}$$. The reflected ray is polarized. If angle of
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Consider a light planet revolving around a massive star in a circular orbit of radius '$$r$$' with time period '$$T$$'.
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A potentiometer wire has length of $$5 \mathrm{~m}$$ and resistance of $$16 \Omega$$. The driving cell has an e.m.f. of
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Four massless springs whose force constants are $$2 \mathrm{~K}, 2 \mathrm{~K}, \mathrm{~K}$$ and $$2 \mathrm{~K}$$ resp
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About black body radiation, which of the following is the wrong statement?
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Two coils have a mutual inductance of $$0.004 \mathrm{~H}$$. The current changes in the first coil according to equation
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