MHT CET 2023 9th May Morning Shift

Paper was held on
Tue, May 9, 2023 3:30 AM

## Chemistry

Which of the following molecules has no lone pair of electrons on central atom?

View Question
Calculate $$\Delta \mathrm{G}^{\circ}$$ for the cell:
$$\mathrm{Sn}_{(\mathrm{s})}\left|\mathrm{Sn}_{(\mathrm{1M})}^{+}\

View Question
Which from following statements is NOT correct?

View Question
A compound made of elements $$\mathrm{A}$$ and $$\mathrm{B}$$ form fcc structure. Atoms of A are at the corners and atom

View Question
What are different possible oxidation states exhibited by scandium?

View Question
Which from following is the slope of the graph of rate versus concentration of the reactant for first order reaction?

View Question
What is the packing efficiency of silver metal in its unit cell?

View Question
Which from following polymers is obtained from $$\mathrm{C}_2 \mathrm{~F}_4$$ ?

View Question
Calculate current in ampere required to deposit $$4.8 \mathrm{~g} ~\mathrm{Cu}$$ from it's salt solution in 30 minutes.

View Question
Identify number of moles of donor atoms in $$2 \mathrm{n}$$ mole of $$\mathrm{SCN}^{-}$$.

View Question
$$0.2 ~\mathrm{M}$$ aqueous solution of glucose has osmotic pressure 4.9 atm at $$300 \mathrm{~K}$$. What is the concent

View Question
Identify the product when phenol is heated with zinc dust.

View Question
Identify the product '$$\mathrm{B}$$' in the following reaction.
Dry ice $$\mathrm{\mathrel{\mathop{\kern0pt\longrightar

View Question
Which among the following reactions exhibits $$\Delta \mathrm{H}=\Delta \mathrm{U}$$ ?

View Question
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,

View Question
A solution of nonvolatile solute is obtained by dissolving $$3.5 \mathrm{~g}$$ in $$100 \mathrm{~g}$$ solvent has boilin

View Question
At $$0{ }^{\circ} \mathrm{C}$$ a gas occupies 22.4 liters. What is the temperature in Kelvin to reach the volume of 224

View Question
Which from following rule / principle states that "No two electrons in an atom can have the same set of four quantum num

View Question
Which from following molecules exhibits highest acidic nature?

View Question
What is the number of moles of $$\mathrm{sp}^2$$ hybrid carbon atoms in one mole of hexa-1,4-diyne?

View Question
Which of the following is NOT obtained when a mixture of methyl chloride and n-propyl chloride is treated with sodium me

View Question
Which carbon atoms (numbered from $$C_1$$ to $$C_6$$ ) are involved in the formation of ring structure of glucose?

View Question
Calculate the amount of reactant in percent that remains after 60 minutes involved in first order reaction. $$\left(\mat

View Question
Which salt from following forms aqueous solution having $$\mathrm{pH}$$ less than 7 ?

View Question
Identify neutral ligand from following

View Question
Identify the product 'B' in following reaction.
Ethyl phenyl ketone $$\mathrm{\buildrel {{H_2}N - N{H_2}} \over
\longri

View Question
Which of the following amines undergoes acylation reaction?

View Question
What is the IUPAC name of following compound?

View Question
What is the number of unit cells when one mole atom of a metal that forms simple cubic structure?

View Question
Identify the gas produced due to reduction of $$\mathrm{NH}_4^{+}$$ ions at cathode during working of dry cell.

View Question
Which of the following is secondary benzylic alcohol?

View Question
Find the value of spin only magnetic moment for chromium cation in +2 state.

View Question
An ideal gas expands by performing $$200 \mathrm{~J}$$ of work, during this internal energy increases by $$432 \mathrm{~

View Question
Calculate the wavenumber of the photon emitted during transition from the orbit of $$n=2$$ to $$n=1$$ in hydrogen atom.

View Question
Calculate the value of $$\Delta G$$ for following reaction at $$300 \mathrm{~K}$$.
$$\begin{aligned}
& \mathrm{H}_2 \mat

View Question
What is the oxidation state of carbon in $$\mathrm{CaC}_2$$ and $$\mathrm{K}_2 \mathrm{C}_2 \mathrm{O}_4$$ respectively?

View Question
What is the number of moles of water molecules required to prepare n moles of methane from n moles of methyl magnesium i

View Question
Which of the following metals is used as catalyst in manufacture of sulphuric acid by contact process?

View Question
The rate for reaction $$\mathrm{A}+\mathrm{B} \rightarrow$$ product, is $$1.8 \times 10^{-2} \mathrm{~mol} \mathrm{~dm}^

View Question
Which of the following concentration terms depends on temperature?

View Question
What type of reaction is the formation of aldol from aldehyde?

View Question
Identify homopolymer from following.

View Question
Identify the chiral molecule from following.

View Question
What is the mass in gram of 1 atom of an element if its atomic mass is $$10 ~\mathrm{u}$$ ?

View Question
Solubility of a salt $$\mathrm{A}_2 \mathrm{~B}_3$$ is $$1 \times 10^{-3} \mathrm{~mol} \mathrm{~dm}^{-3}$$. What is the

View Question
Identify the element having general electronic configuration $$\mathrm{ns}^2 \mathrm{np}^4$$ from following.

View Question
Identify the product $$\mathrm{A}$$ obtained in the following reaction.
Phenol + Conc. Nitric acid $$\stackrel{\text { c

View Question
What is the value of specific rotation exhibited by glucose molecule?

View Question
What type of information is collected using scanning electron microscopy?

View Question
Identify the reagent $$\mathrm{A}$$ in the following conversion.
Alkyl halide $$\stackrel{A}{\longrightarrow}$$ Alkyl ni

View Question
## 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

View Question
In a Binomial distribution with $$\mathrm{n}=4$$, if $$2 \mathrm{P}(\mathrm{X}=3)=3 \mathrm{P}(\mathrm{X}=2)$$, then the

View Question
Let two non-collinear vectors $$\hat{a}$$ and $$\hat{b}$$ form an acute angle. A point $$\mathrm{P}$$ moves, so that at

View Question
The number of solutions in $$[0,2 \pi]$$ of the equation $$16^{\sin ^2 x}+16^{\cos ^2 x}=10$$ is

View Question
The differential equation of all parabolas, whose axes are parallel to $$\mathrm{Y}$$-axis, is

View Question
The value of $$c$$ of Lagrange's mean value theorem for $$f(x)=\sqrt{25-x^2}$$ on $$[1,5]$$ is

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

View Question
If $$Z_1=4 i^{40}-5 i^{35}+6 i^{17}+2, Z_2=-1+i$$, where $$i=\sqrt{-1}$$, then $$\left|Z_1+Z_2\right|=$$

View Question
The approximate value of $$\log _{10} 998$$ is (given that $$\log _{10} \mathrm{e}=0.4343$$ )

View Question
If $$\sin ^{-1} x+\cos ^{-1} y=\frac{3 \pi}{10}$$, then the value of $$\cos ^{-1} x+\sin ^{-1} y$$ is

View Question
The area (in sq. units) of the region $$\mathrm{A}=\left\{(x, y) / \frac{y^2}{2} \leq x \leq y+4\right\}$$ is

View Question
$$\mathrm{A}, \mathrm{B}, \mathrm{C}$$ are three events, one of which must and only one can happen. The odds in favor of

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

View Question
Two sides of a triangle are $$\sqrt{3}+1$$ and $$\sqrt{3}-1$$ and the included angle is $$60^{\circ}$$, then the differe

View Question
The standard deviation of the following distribution
.tg {border-collapse:collapse;border-spacing:0;}
.tg td{border-co

View Question
The maximum value of xy when x + 2y = 8 is

View Question
If truth values of statements $$\mathrm{p}, \mathrm{q}$$ are true, and $$\mathrm{r}$$, $$s$$ are false, then the truth v

View Question
The rate of change of $$\sqrt{x^2+16}$$ with respect to $$\frac{x}{x-1}$$ at $$x=5$$ is

View Question
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

View Question
Two tangents to the circle $$x^2+y^2=4$$ at the points $$\mathrm{A}$$ and $$\mathrm{B}$$ meet at the point $$\mathrm{P}(

View Question
$$\mathrm{f}: \mathbb{R}-\left(-\frac{3}{5}\right) \rightarrow \mathbb{R}$$ is defined by $$f(x)=\frac{3 x-2}{5 x+3}$$,

View Question
The value of $$\cot \left(\sum_\limits{n=1}^{23} \cot ^{-1}\left(1+\sum_\limits{k=1}^n 2 k\right)\right)$$ is

View Question
An object is moving in the clockwise direction around the unit circle $$x^2+y^2=1$$. As it passes through the point $$\l

View Question
If feasible region is as shown in the figure, then the related inequalities are

View Question
$$\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}{

View Question
If $$\mathrm{f}(x)$$ is a function satisfying $$\mathrm{f}^{\prime}(x)=\mathrm{f}(x)$$ with $$\mathrm{f}(0)=1$$ and $$\m

View Question
The foot of the perpendicular drawn from the origin to the plane is $$(4,-2,5)$$, then the Cartesian equation of the pla

View Question
$$\lim _\limits{x \rightarrow \frac{\pi}{2}} \frac{\cot x-\cos x}{(\pi-2 x)^3}$$ equals

View Question
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 $$

View Question
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

View Question
If at the end of certain meeting, everyone had shaken hands with everyone else, it was found that 45 handshakes were exc

View Question
If $$\sin 18^{\circ}=\frac{\sqrt{5}-1}{4}$$, then $$\cos ^2 48^{\circ}-\sin ^2 12^{\circ}$$ has the value

View Question
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

View Question
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

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

View Question
The probability mass function of random variable X is given by
$$P[X=r]=\left\{\begin{array}{ll}
\frac{{ }^n C_r}{32},

View Question
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

View Question
The distance of the point having position vector $$\hat{i}-2 \hat{j}-6 \hat{k}$$, from the straight line passing through

View Question
A vector $$\overrightarrow{\mathrm{n}}$$ is inclined to $$\mathrm{X}$$-axis at $$45^{\circ}$$, $$\mathrm{Y}$$-axis at $$

View Question
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

View Question
If $$\mathrm{f}(1)=1, \mathrm{f}^{\prime}(1)=3$$, then the derivative of $$\mathrm{f}(\mathrm{f}(\mathrm{f}(x)))+(\mathr

View Question
Three fair coins numbered 1 and 0 are tossed simultaneously. Then variance Var (X) of the probability distribution of ra

View Question
$$\int \frac{1}{\sin (x-a) \sin x} d x=$$

View Question
The derivative of $$\mathrm{f}(\sec x)$$ with respect to $$g(\tan x)$$ at $$x=\frac{\pi}{4}$$, where $$f^{\prime}(\sqrt{

View Question
The scalar product of the vector $$\hat{\mathrm{i}}+\hat{\mathrm{j}}+\hat{\mathrm{k}}$$ with a unit vector along the sum

View Question
The number of discontinuities of the greatest integer function $$\mathrm{f}(x)=[x], x \in\left(-\frac{7}{2}, 100\right)$

View Question
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

View Question
A spherical raindrop evaporates at a rate proportional to its surface area. If originally its radius is $$3 \mathrm{~mm}

View Question
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

View Question
The volume of parallelopiped, whose coterminous edges are given by $$\overline{\mathrm{u}}=\hat{\mathrm{i}}+\hat{\mathrm

View Question
## 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

View Question
The ratio of wavelengths for transition of electrons from $$2^{\text {nd }}$$ orbit to $$1^{\text {st }}$$ orbit of Heli

View Question
For an intrinsic semiconductor $$\left(\mathrm{n}_{\mathrm{h}}\right.$$ and $$\mathrm{n}_{\mathrm{e}}$$ are the number o

View Question
A $$5.0 \mathrm{~V}$$ stabilized power supply is required to be designed using a $$12 \mathrm{~V}$$ DC power supply as i

View Question
A jar '$$\mathrm{P}$$' is filled with gas having pressure, volume and temperature $$\mathrm{P}, \mathrm{V}, \mathrm{T}$$

View Question
The magnetic flux through a loop of resistance $$10 ~\Omega$$ varying according to the relation $$\phi=6 \mathrm{t}^2+7

View Question
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

View Question
The coil of an a.c. generator has 100 turns, each of cross-sectional area $$2 \mathrm{~m}^2$$. It is rotating at constan

View Question
A beam of unpolarized light passes through a tourmaline crystal A and then it passes through a second tourmaline crystal

View Question
The materials suitable for making electromagnets should have

View Question
A body falls on a surface of coefficient of restitution 0.6 from a height of $$1 \mathrm{~m}$$. Then the body rebounds t

View Question
In a diffraction pattern due to single slit of width '$$a$$', the first minimum is observed at an angle of $$30^{\circ}$

View Question
A stone is projected vertically upwards with speed '$$v$$'. Another stone of same mass is projected at an angle of $$60^

View Question
An electron (mass $$\mathrm{m}$$ ) is accelerated through a potential difference of '$$V$$' and then it enters in a magn

View Question
A capacitor, an inductor and an electric bulb are connected in series to an a.c. supply of variable frequency. As the fr

View Question
When both source and listener are approaching each other the observed frequency of sound is given by $$\left(V_L\right.$

View Question
Water is flowing through a horizontal pipe in stream line flow. At the narrowest part of the pipe

View Question
The angle of prism is $$A$$ and one of its refracting surface is silvered. Light rays falling at an angle of incidence '

View Question
The maximum velocity of a particle performing S.H.M. is '$$\mathrm{V}$$'. If the periodic time is made $$\left(\frac{1}{

View Question
A conducting wire of length $$2500 \mathrm{~m}$$ is kept in east-west direction, at a height of $$10 \mathrm{~m}$$ from

View Question
For an electron moving in the $$\mathrm{n}^{\text {th }}$$ Bohr orbit the deBroglie wavelength of an electron is

View Question
A square lamina of side '$$b$$' has same mass as a disc of radius '$$R$$' the moment of inertia of the two objects about

View Question
A body weighs $$300 \mathrm{~N}$$ on the surface of the earth. How much will it weigh at a distance $$\frac{R}{2}$$ belo

View Question
To get the truth table shown, from the following logic circuit, the Gate G should be

View Question
For a gas having '$$\mathrm{X}$$' degrees of freedom, '$$\gamma$$' is ($$\gamma=$$ ratio of specific heats $$=\mathrm{C_

View Question
A galvanometer of resistance $$\mathrm{G}$$ is shunted with a resistance of $$10 \%$$ of $$\mathrm{G}$$. The part of the

View Question
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

View Question
Self inductance of solenoid is

View Question
The capacitance of a parallel plate capacitor is $$2.5 ~\mu \mathrm{F}$$. When it is half filled with a dielectric as sh

View Question
Equation of simple harmonic progressive wave is given by $$y=\frac{1}{\sqrt{a}} \sin \omega t \pm \frac{1}{\sqrt{b}} \co

View Question
Two uniform brass rods $$A$$ and $$B$$ of length and '$$2 l$$' and their radii '$$2 r$$' and '$$r$$' respectively are he

View Question
In a single slit experiment, the width of the slit is doubled. Which one of the following statements is correct?

View Question
A gas at N.T.P. is suddenly compressed to $$\left(\frac{1}{4}\right)^{\text {th }}$$ of its original volume. The final p

View Question
The excess of pressure in a first soap bubble is three times that of other soap bubble. Then the ratio of the volume of

View Question
In a meter bridge experiment null point is obtained at $$l \mathrm{~cm}$$ from the left end. If the meter bridge wire is

View Question
A long straight wire carrying a current of $$25 \mathrm{~A}$$ rests on the table. Another wire PQ of length $$1 \mathrm{

View Question
In a thermodynamic process, there is no exchange of heat between the system and surroundings. Then the thermodynamic pro

View Question
According to kinetic theory of gases, which one of the following statements is wrong?

View Question
The radii of two soap bubbles are $$r_1$$ and $$r_2$$. In isothermal condition they combine with each other to form a si

View Question
The rays of different colours fail to converge at a point after passing through a thick converging lens. This defect is

View Question
The ratio of potential difference that must be applied across parallel and series combination of two capacitors $$C_1$$

View Question
The potential energy of charged parallel plate capacitor is $$v_0$$. If a slab of dielectric constant $$\mathrm{K}$$ is

View Question
A solid sphere rolls without slipping on an inclined plane at an angle $$\theta$$. The ratio of total kinetic energy to

View Question
Two discs of same mass and same thickness (t) are made from two different materials of densities '$$d_1$$' and '$$d_2$$'

View Question
When a string of length '$$l$$' is divided into three segments of length $$l_1, l_2$$ and $$l_3$$. The fundamental frequ

View Question
A seconds pendulum is placed in a space laboratory orbiting round the earth at a height '$$3 \mathrm{R}$$' from the eart

View Question
A solid metallic sphere has a charge $$+3 Q$$. Concentric with this sphere is a conducting spherical shell having charge

View Question
A closed organ pipe of length '$$L_1$$' and an open organ pipe contain diatomic gases of densities '$$\rho_1$$' and '$$\

View Question
From a metallic surface photoelectric emission is observed for frequencies $$v_1$$ and $$v_2\left(v_1 > v_2\right)$$ of

View Question
In an $$\mathrm{AC}$$ circuit, the current is $$\mathrm{i}=5 \sin \left(100 \mathrm{t}-\frac{\pi}{2}\right) \mathrm{A}$$

View Question