MHT CET 2023 9th May Morning Shift
Paper was held on Tue, May 9, 2023 3:30 AM
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Chemistry

Which of the following molecules has no lone pair of electrons on central atom?
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Calculate $$\Delta \mathrm{G}^{\circ}$$ for the cell: $$\mathrm{Sn}_{(\mathrm{s})}\left|\mathrm{Sn}_{(\mathrm{1M})}^{2+}
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Which from following statements is NOT correct?
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A compound made of elements $$\mathrm{A}$$ and $$\mathrm{B}$$ form fcc structure. Atoms of A are at the corners and atom
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What are different possible oxidation states exhibited by scandium?
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Which from following is the slope of the graph of rate versus concentration of the reactant for first order reaction?
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What is the packing efficiency of silver metal in its unit cell?
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Which from following polymers is obtained from $$\mathrm{C}_2 \mathrm{~F}_4$$ ?
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Calculate current in ampere required to deposit $$4.8 \mathrm{~g} ~\mathrm{Cu}$$ from it's salt solution in 30 minutes.
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Identify number of moles of donor atoms in $$2 \mathrm{n}$$ mole of $$\mathrm{SCN}^{-}$$.
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$$0.2 ~\mathrm{M}$$ aqueous solution of glucose has osmotic pressure 4.9 atm at $$300 \mathrm{~K}$$. What is the concent
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Identify the product when phenol is heated with zinc dust.
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Identify the product '$$\mathrm{B}$$' in the following reaction. Dry ice $$\mathrm{\mathrel{\mathop{\kern0pt\longrightar
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Which among the following reactions exhibits $$\Delta \mathrm{H}=\Delta \mathrm{U}$$ ?
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A buffer solution is prepared by mixing 0.2 M sodium acetate and 0.1 M acetic acid. If pK$$_a$$ for acetic acid is 4.7,
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A solution of nonvolatile solute is obtained by dissolving $$3.5 \mathrm{~g}$$ in $$100 \mathrm{~g}$$ solvent has boilin
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At $$0{ }^{\circ} \mathrm{C}$$ a gas occupies 22.4 liters. What is the temperature in Kelvin to reach the volume of 224
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Which from following rule / principle states that "No two electrons in an atom can have the same set of four quantum num
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Which from following molecules exhibits highest acidic nature?
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What is the number of moles of $$\mathrm{sp}^2$$ hybrid carbon atoms in one mole of hexa-1,4-diyne?
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Which of the following is NOT obtained when a mixture of methyl chloride and n-propyl chloride is treated with sodium me
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Which carbon atoms (numbered from $$C_1$$ to $$C_6$$ ) are involved in the formation of ring structure of glucose?
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Calculate the amount of reactant in percent that remains after 60 minutes involved in first order reaction. $$\left(\mat
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Which salt from following forms aqueous solution having $$\mathrm{pH}$$ less than 7 ?
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Identify neutral ligand from following
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Identify the product 'B' in following reaction. Ethyl phenyl ketone $$\mathrm{\buildrel {{H_2}N - N{H_2}} \over \longri
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Which of the following amines undergoes acylation reaction?
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What is the IUPAC name of following compound?
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What is the number of unit cells when one mole atom of a metal that forms simple cubic structure?
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Identify the gas produced due to reduction of $$\mathrm{NH}_4^{+}$$ ions at cathode during working of dry cell.
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Which of the following is secondary benzylic alcohol?
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Find the value of spin only magnetic moment for chromium cation in +2 state.
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An ideal gas expands by performing $$200 \mathrm{~J}$$ of work, during this internal energy increases by $$432 \mathrm{~
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Calculate the wavenumber of the photon emitted during transition from the orbit of $$n=2$$ to $$n=1$$ in hydrogen atom.
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Calculate the value of $$\Delta G$$ for following reaction at $$300 \mathrm{~K}$$. $$\begin{aligned} & \mathrm{H}_2 \mat
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What is the oxidation state of carbon in $$\mathrm{CaC}_2$$ and $$\mathrm{K}_2 \mathrm{C}_2 \mathrm{O}_4$$ respectively?
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What is the number of moles of water molecules required to prepare n moles of methane from n moles of methyl magnesium i
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Which of the following metals is used as catalyst in manufacture of sulphuric acid by contact process?
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The rate for reaction $$\mathrm{A}+\mathrm{B} \rightarrow$$ product, is $$1.8 \times 10^{-2} \mathrm{~mol} \mathrm{~dm}^
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Which of the following concentration terms depends on temperature?
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What type of reaction is the formation of aldol from aldehyde?
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Identify homopolymer from following.
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Identify the chiral molecule from following.
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What is the mass in gram of 1 atom of an element if its atomic mass is $$10 ~\mathrm{u}$$ ?
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Solubility of a salt $$\mathrm{A}_2 \mathrm{~B}_3$$ is $$1 \times 10^{-3} \mathrm{~mol} \mathrm{~dm}^{-3}$$. What is the
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Identify the element having general electronic configuration $$\mathrm{ns}^2 \mathrm{np}^4$$ from following.
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Identify the product $$\mathrm{A}$$ obtained in the following reaction. Phenol + Conc. Nitric acid $$\stackrel{\text { c
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What is the value of specific rotation exhibited by glucose molecule?
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What type of information is collected using scanning electron microscopy?
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Identify the reagent $$\mathrm{A}$$ in the following conversion. Alkyl halide $$\stackrel{A}{\longrightarrow}$$ Alkyl ni
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Mathematics

If two vertices of a triangle are $$\mathrm{A}(3,1,4)$$ and $$\mathrm{B}(-4,5,-3)$$ and the centroid of the triangle is
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In a Binomial distribution with $$\mathrm{n}=4$$, if $$2 \mathrm{P}(\mathrm{X}=3)=3 \mathrm{P}(\mathrm{X}=2)$$, then the
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Let two non-collinear vectors $$\hat{a}$$ and $$\hat{b}$$ form an acute angle. A point $$\mathrm{P}$$ moves, so that at
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The number of solutions in $$[0,2 \pi]$$ of the equation $$16^{\sin ^2 x}+16^{\cos ^2 x}=10$$ is
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The differential equation of all parabolas, whose axes are parallel to $$\mathrm{Y}$$-axis, is
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The value of $$c$$ of Lagrange's mean value theorem for $$f(x)=\sqrt{25-x^2}$$ on $$[1,5]$$ is
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$$\int \frac{x+1}{x\left(1+x \mathrm{e}^x\right)^2} \mathrm{~d} x=$$
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If $$Z_1=4 i^{40}-5 i^{35}+6 i^{17}+2, Z_2=-1+i$$, where $$i=\sqrt{-1}$$, then $$\left|Z_1+Z_2\right|=$$
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The approximate value of $$\log _{10} 998$$ is (given that $$\log _{10} \mathrm{e}=0.4343$$ )
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If $$\sin ^{-1} x+\cos ^{-1} y=\frac{3 \pi}{10}$$, then the value of $$\cos ^{-1} x+\sin ^{-1} y$$ is
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The area (in sq. units) of the region $$\mathrm{A}=\left\{(x, y) / \frac{y^2}{2} \leq x \leq y+4\right\}$$ is
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$$\mathrm{A}, \mathrm{B}, \mathrm{C}$$ are three events, one of which must and only one can happen. The odds in favor of
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The value of $$\alpha$$, so that the volume of the parallelopiped formed by $$\hat{i}+\alpha \hat{j}+\hat{k}, \hat{j}+\a
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Two sides of a triangle are $$\sqrt{3}+1$$ and $$\sqrt{3}-1$$ and the included angle is $$60^{\circ}$$, then the differe
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The standard deviation of the following distribution .tg {border-collapse:collapse;border-spacing:0;} .tg td{border-co
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The maximum value of xy when x + 2y = 8 is
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If truth values of statements $$\mathrm{p}, \mathrm{q}$$ are true, and $$\mathrm{r}$$, $$s$$ are false, then the truth v
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The rate of change of $$\sqrt{x^2+16}$$ with respect to $$\frac{x}{x-1}$$ at $$x=5$$ is
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If $$x^2+y^2=\mathrm{t}+\frac{1}{\mathrm{t}}$$ and $$x^4+y^4=\mathrm{t}^2+\frac{1}{\mathrm{t}^2}$$, then $$\frac{\mathrm
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Two tangents to the circle $$x^2+y^2=4$$ at the points $$\mathrm{A}$$ and $$\mathrm{B}$$ meet at the point $$\mathrm{P}(
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$$\mathrm{f}: \mathbb{R}-\left(-\frac{3}{5}\right) \rightarrow \mathbb{R}$$ is defined by $$f(x)=\frac{3 x-2}{5 x+3}$$,
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The value of $$\cot \left(\sum_\limits{n=1}^{23} \cot ^{-1}\left(1+\sum_\limits{k=1}^n 2 k\right)\right)$$ is
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An object is moving in the clockwise direction around the unit circle $$x^2+y^2=1$$. As it passes through the point $$\l
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If feasible region is as shown in the figure, then the related inequalities are
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$$\int \frac{\mathrm{e}^{\tan ^{-1} x}}{1+x^2}\left[\left(\sec ^{-1} \sqrt{1+x^2}\right)^2+\cos ^{-1}\left(\frac{1-x^2}{
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If $$\mathrm{f}(x)$$ is a function satisfying $$\mathrm{f}^{\prime}(x)=\mathrm{f}(x)$$ with $$\mathrm{f}(0)=1$$ and $$\m
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The foot of the perpendicular drawn from the origin to the plane is $$(4,-2,5)$$, then the Cartesian equation of the pla
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$$\lim _\limits{x \rightarrow \frac{\pi}{2}} \frac{\cot x-\cos x}{(\pi-2 x)^3}$$ equals
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If the distance between the parallel lines given by the equation $$x^2+4 x y+p y^2+3 x+q y-4=0$$ is $$\lambda$$, then $$
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The particular solution of the differential equation $$\left(1+y^2\right) \mathrm{d} x-x y \mathrm{~d} y=0$$ at $$x=1, y
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If at the end of certain meeting, everyone had shaken hands with everyone else, it was found that 45 handshakes were exc
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If $$\sin 18^{\circ}=\frac{\sqrt{5}-1}{4}$$, then $$\cos ^2 48^{\circ}-\sin ^2 12^{\circ}$$ has the value
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If $$A=\left[\begin{array}{cc}2 & -1 \\ -1 & 3\end{array}\right]$$, then the inverse of $$\left(2 A^2+5 A\right)$$ is
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If $$ I=\int \frac{\sin x+\sin ^3 x}{\cos 2 x} d x=P \cos x+Q \log \left|\frac{\sqrt{2} \cos x-1}{\sqrt{2} \cos x+1}\rig
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The negation of the statement $$(p \wedge q) \rightarrow(\sim p \vee r)$$ is
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The probability mass function of random variable X is given by $$P[X=r]=\left\{\begin{array}{ll} \frac{{ }^n C_r}{32},
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The distance of a point $$(2,5)$$ from the line $$3 x+y+4=0$$ measured along the line $$L_1$$ and $$L_1$$ are same. If s
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The distance of the point having position vector $$\hat{i}-2 \hat{j}-6 \hat{k}$$, from the straight line passing through
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A vector $$\overrightarrow{\mathrm{n}}$$ is inclined to $$\mathrm{X}$$-axis at $$45^{\circ}$$, $$\mathrm{Y}$$-axis at $$
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If $$\cos ^{-1} x-\cos ^{-1} \frac{y}{3}=\alpha$$, where $$-1 \leq x \leq 1, -3 \leq y \leq 3, x \leq \frac{y}{3}$$, the
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If $$\mathrm{f}(1)=1, \mathrm{f}^{\prime}(1)=3$$, then the derivative of $$\mathrm{f}(\mathrm{f}(\mathrm{f}(x)))+(\mathr
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Three fair coins numbered 1 and 0 are tossed simultaneously. Then variance Var (X) of the probability distribution of ra
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$$\int \frac{1}{\sin (x-a) \sin x} d x=$$
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The derivative of $$\mathrm{f}(\sec x)$$ with respect to $$g(\tan x)$$ at $$x=\frac{\pi}{4}$$, where $$f^{\prime}(\sqrt{
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The scalar product of the vector $$\hat{\mathrm{i}}+\hat{\mathrm{j}}+\hat{\mathrm{k}}$$ with a unit vector along the sum
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The number of discontinuities of the greatest integer function $$\mathrm{f}(x)=[x], x \in\left(-\frac{7}{2}, 100\right)$
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If $$[(\bar{a}+2 \bar{b}+3 \bar{c}) \times(\bar{b}+2 \bar{c}+3 \bar{a})] \cdot(\bar{c}+2 \bar{a}+3 \bar{b})=54$$ then th
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A spherical raindrop evaporates at a rate proportional to its surface area. If originally its radius is $$3 \mathrm{~mm}
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If the Cartesian equation of a line is $$6 x-2=3 y+1=2 z-2$$, then the vector equation of the line is
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The volume of parallelopiped, whose coterminous edges are given by $$\overline{\mathrm{u}}=\hat{\mathrm{i}}+\hat{\mathrm
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Physics

A rubber ball filled with water, having a small hole is used as the bob of a simple pendulum. The time period of such a
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The ratio of wavelengths for transition of electrons from $$2^{\text {nd }}$$ orbit to $$1^{\text {st }}$$ orbit of Heli
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For an intrinsic semiconductor $$\left(\mathrm{n}_{\mathrm{h}}\right.$$ and $$\mathrm{n}_{\mathrm{e}}$$ are the number o
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A $$5.0 \mathrm{~V}$$ stabilized power supply is required to be designed using a $$12 \mathrm{~V}$$ DC power supply as i
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A jar '$$\mathrm{P}$$' is filled with gas having pressure, volume and temperature $$\mathrm{P}, \mathrm{V}, \mathrm{T}$$
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The magnetic flux through a loop of resistance $$10 ~\Omega$$ varying according to the relation $$\phi=6 \mathrm{t}^2+7
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A thin rod of length '$$L$$' is bent in the form of a circle. Its mass is '$$M$$'. What force will act on mass '$$m$$' p
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The coil of an a.c. generator has 100 turns, each of cross-sectional area $$2 \mathrm{~m}^2$$. It is rotating at constan
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A beam of unpolarized light passes through a tourmaline crystal A and then it passes through a second tourmaline crystal
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The materials suitable for making electromagnets should have
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A body falls on a surface of coefficient of restitution 0.6 from a height of $$1 \mathrm{~m}$$. Then the body rebounds t
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In a diffraction pattern due to single slit of width '$$a$$', the first minimum is observed at an angle of $$30^{\circ}$
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A stone is projected vertically upwards with speed '$$v$$'. Another stone of same mass is projected at an angle of $$60^
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An electron (mass $$\mathrm{m}$$ ) is accelerated through a potential difference of '$$V$$' and then it enters in a magn
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A capacitor, an inductor and an electric bulb are connected in series to an a.c. supply of variable frequency. As the fr
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When both source and listener are approaching each other the observed frequency of sound is given by $$\left(V_L\right.$
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Water is flowing through a horizontal pipe in stream line flow. At the narrowest part of the pipe
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The angle of prism is $$A$$ and one of its refracting surface is silvered. Light rays falling at an angle of incidence '
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The maximum velocity of a particle performing S.H.M. is '$$\mathrm{V}$$'. If the periodic time is made $$\left(\frac{1}{
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A conducting wire of length $$2500 \mathrm{~m}$$ is kept in east-west direction, at a height of $$10 \mathrm{~m}$$ from
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For an electron moving in the $$\mathrm{n}^{\text {th }}$$ Bohr orbit the deBroglie wavelength of an electron is
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A square lamina of side '$$b$$' has same mass as a disc of radius '$$R$$' the moment of inertia of the two objects about
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A body weighs $$300 \mathrm{~N}$$ on the surface of the earth. How much will it weigh at a distance $$\frac{R}{2}$$ belo
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To get the truth table shown, from the following logic circuit, the Gate G should be
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For a gas having '$$\mathrm{X}$$' degrees of freedom, '$$\gamma$$' is ($$\gamma=$$ ratio of specific heats $$=\mathrm{C_
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A galvanometer of resistance $$\mathrm{G}$$ is shunted with a resistance of $$10 \%$$ of $$\mathrm{G}$$. The part of the
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If an electron in a hydrogen atom jumps from an orbit of level $$n=3$$ to orbit of level $$n=2$$, then the emitted radia
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Self inductance of solenoid is
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The capacitance of a parallel plate capacitor is $$2.5 ~\mu \mathrm{F}$$. When it is half filled with a dielectric as sh
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Equation of simple harmonic progressive wave is given by $$y=\frac{1}{\sqrt{a}} \sin \omega t \pm \frac{1}{\sqrt{b}} \co
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Two uniform brass rods $$A$$ and $$B$$ of length '$$l$$' and '$$2 l$$' and their radii '$$2 r$$' and '$$r$$' respectivel
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In a single slit experiment, the width of the slit is doubled. Which one of the following statements is correct?
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A gas at N.T.P. is suddenly compressed to $$\left(\frac{1}{4}\right)^{\text {th }}$$ of its original volume. The final p
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The excess of pressure in a first soap bubble is three times that of other soap bubble. Then the ratio of the volume of
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In a meter bridge experiment null point is obtained at $$l \mathrm{~cm}$$ from the left end. If the meter bridge wire is
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A long straight wire carrying a current of $$25 \mathrm{~A}$$ rests on the table. Another wire PQ of length $$1 \mathrm{
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In a thermodynamic process, there is no exchange of heat between the system and surroundings. Then the thermodynamic pro
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According to kinetic theory of gases, which one of the following statements is wrong?
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The radii of two soap bubbles are $$r_1$$ and $$r_2$$. In isothermal condition they combine with each other to form a si
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The rays of different colours fail to converge at a point after passing through a thick converging lens. This defect is
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The ratio of potential difference that must be applied across parallel and series combination of two capacitors $$C_1$$
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The potential energy of charged parallel plate capacitor is $$v_0$$. If a slab of dielectric constant $$\mathrm{K}$$ is
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A solid sphere rolls without slipping on an inclined plane at an angle $$\theta$$. The ratio of total kinetic energy to
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Two discs of same mass and same thickness (t) are made from two different materials of densities '$$d_1$$' and '$$d_2$$'
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When a string of length '$$l$$' is divided into three segments of length $$l_1, l_2$$ and $$l_3$$. The fundamental frequ
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A seconds pendulum is placed in a space laboratory orbiting round the earth at a height '$$3 \mathrm{R}$$' from the eart
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A solid metallic sphere has a charge $$+3 Q$$. Concentric with this sphere is a conducting spherical shell having charge
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A closed organ pipe of length '$$L_1$$' and an open organ pipe contain diatomic gases of densities '$$\rho_1$$' and '$$\
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From a metallic surface photoelectric emission is observed for frequencies $$v_1$$ and $$v_2\left(v_1 > v_2\right)$$ of
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In an $$\mathrm{AC}$$ circuit, the current is $$\mathrm{i}=5 \sin \left(100 \mathrm{t}-\frac{\pi}{2}\right) \mathrm{A}$$
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