MHT CET 2023 9th May Evening Shift

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

## Chemistry

Identify monodentate ligand from the following.

View Question Identify linear polymer from the following.

View Question What is the conductivity of $$0.05 ~\mathrm{M} ~\mathrm{BaCl}_2$$ solution if its molar conductivity is $$220 ~\Omega^{-

View Question Which from following polymers is grouped in the category of elastomers?

View Question Which element from following exhibits diagonal relationship with beryllium?

View Question What is the stock notation of Manganese dioxide?

View Question A reaction, $$\mathrm{Ni}_{(\mathrm{s})}+\mathrm{Cu}_{(\mathrm{(M)})}^{+} \rightarrow \mathrm{Ni}_{(\mathrm{IM})}^{+}+\m

View Question What volume of ammonia is formed when $$10 ~\mathrm{dm}^3$$ dinitrogen reacts with $$30 ~\mathrm{dm}^3$$ dihydrogen at s

View Question What is the number of moles of $$\mathrm{sp}^2$$ hybrid carbon atoms present in $$\mathrm{n}$$ moles of isopentane?

View Question Find solubility of $$\mathrm{PbI}_2$$ if its solubility product is $$7.0 \times 10^{-9}$$.

View Question Identify the product formed when vapours of 2-methylpropan-2-ol are passed over hot copper.

View Question Calculate the rate constant of first order reaction if the concentration of the reactant decreases by $$90 \%$$ in 30 mi

View Question What different elements are found in baryte?

View Question Identify the product '$$B$$' in the following reaction.
Cumene $$\mathrm{\mathrel{\mathop{\kern0pt\longrightarrow}
\limi

View Question Which of the following on reaction with ammoniacal silver nitrate forms silver precipitate?

View Question Identify an aromatic, mixed, 3$$^\circ$$ amine from following.

View Question For $$\mathrm{NaCl}_{(\mathrm{s})}$$ enthalpy of solution is $$4 \mathrm{~kJ} \mathrm{~mol}^{-1}$$ and lattice enthalpy

View Question Which from following statements regarding transition elements is NOT CORRECT?

View Question A solution of $$8 \mathrm{~g}$$ of certain organic compound in $$2 ~\mathrm{dm}^3$$ water develops osmotic pressure $$0.

View Question What is the value of $$\Delta H-\Delta U$$ for the following reaction?
$$2 \mathrm{C}_{(\mathrm{s})}+3 \mathrm{H}_{2(\ma

View Question Which from the following compound solutions in water of equal concentration has electrical conductivity nearly same as d

View Question What is the $$\mathrm{pH}$$ of a solution containing $$2.2 \times 10^{-6} \mathrm{M}$$ hydrogen ions?

View Question Which of the following statements is NOT true about Rutherford atomic model?

View Question What is IUPAC name of propylene glycerol?

View Question Identify the CORRECT decreasing order of melting point of cluster of sodium atoms depending on size.

View Question Which from the following coordinate complexes contains anionic and neutral ligands in it?

View Question Which among the following is allylic halide?

View Question Which of the following compounds has the highest boiling point?

View Question A solution of nonvolatile solute is obtained by dissolving $$1 \mathrm{~g}$$ in $$100 \mathrm{~g}$$ solvent, decreases i

View Question What is the IUPAC name of allylamine?

View Question What is the wave number of photon emitted during transition from orbit, $$\mathrm{n}=4$$ to $$\mathrm{n}=2$$ in hydrogen

View Question Which from following is a CORRECT bond line formula of $$\mathrm{HO}\left(\mathrm{CH}_2\right)_3 \mathrm{CH}\left(\mathr

View Question Identify the carbon atoms of $$\alpha$$-glucose and $$\beta$$-fructose forming glycosidic linkage in sucrose.

View Question Calculate the molar mass of an element having density $$21 \mathrm{~g} \mathrm{~cm}^{-3}$$ that forms fcc unit cell $$\l

View Question Which of the following is the SI unit of coefficient of viscosity?

View Question Which from following metal has ccp crystal structure?

View Question Identify the reagent '$$A$$' used in the following conversion.
Ethyl bromide $$\stackrel{\mathrm{A}}{\longrightarrow}$$

View Question What is the concentration of $$\left[\mathrm{H}_3 \mathrm{O}^{+}\right]$$ ion in $$\mathrm{mol} ~\mathrm{L}^{-1}$$ of $$

View Question Which group elements from following are called as chalcogens?

View Question What is the number of electrons around sulfur in $$\mathrm{H}_2 \mathrm{SO}_4$$ molecule?

View Question An ideal gas expands by $$1.5 \mathrm{~L}$$ against a constant external pressure of $$2 \mathrm{~atm}$$ at $$298 \mathrm

View Question The rate law for the reaction $$\mathrm{A}+\mathrm{B} \rightarrow$$ product is given by rate $$=k[A][B]$$ Calculate $$[A

View Question Which among the following has the lowest boiling point?

View Question Find the average rate of formation $$\mathrm{O}_{2(\mathrm{~g})}$$ in the following reaction.
$$\begin{aligned}
& 2 \mat

View Question Which among the following reactions occurs by breaking of $$\mathrm{C}-\mathrm{O}$$ bond in alcohol?

View Question Which among the following gases exhibits very low solubility in water at room temperature?

View Question Identify the trisaccharide from following.

View Question Identify the element from following having six unpaired electrons in observed electronic configuration?

View Question Find the radius of metal atom in simple cubic unit cell having edge length 334.7 pm?

View Question Which of the following colloids is NOT a gel?

View Question ## Mathematics

If the slope of one of the lines represented by $$a x^2+(2 a+1) x y+2 y^2=0$$ is reciprocal of the slope of the other, t

View Question In $$\triangle \mathrm{PQR}, \sin \mathrm{P}, \sin \mathrm{Q}$$ and $$\sin \mathrm{R}$$ are in A.P., then

View Question The value of $$\tan ^{-1}\left(\frac{\sqrt{1+x^2}+\sqrt{1-x^2}}{\sqrt{1+x^2}-\sqrt{1-x^2}}\right), |x|

View Question If slope of a tangent to the curve $$x y+a x+b y=0$$ at the point $$(1,1)$$ on it is 2 ,

View Question The equation of a line, whose perpendicular distance from the origin is 7 units and the angle, which the perpendicular t

View Question Let $$a, b, c$$ be the lengths of sides of triangle $$A B C$$ such that $$\frac{a+b}{7}=\frac{b+c}{8}=\frac{c+a}{9}=k$$.

View Question If the mean and S.D. of the data $$3,5,7, a, b$$ are 5 and 2 respectively, then $$a$$ and $$b$$ are the roots of the equ

View Question A man takes a step forward with probability 0.4 and backwards with probability 0.6 . The probability that at the end of

View Question If $$\mathrm{f}^{\prime}(x)=x-\frac{5}{x^5}$$ and $$\mathrm{f}(1)=4$$, then $$\mathrm{f}(x)$$ is

View Question A linguistic club of a certain Institute consists of 6 girls and 4 boys. A team of 4 members to be selected from this gr

View Question Negation of the statement
"The payment will be made if and only if the work is finished in time." Is

View Question The equation $$x^3+x-1=0$$ has

View Question If a line $$\mathrm{L}$$ is the line of intersection of the planes $$2 x+3 y+z=1$$ and $$x+3 y+2 z=2$$. If line $$\mathr

View Question The range of values of $$x$$ for which $$f(x)=x^3+6 x^2-36 x+7$$ is increasing in

View Question The maximum value of the function $$f(x)=3 x^3-18 x^2+27 x-40$$ on the set $$\mathrm{S}=\left\{x \in \mathbb{R} / x^2+30

View Question Let $$\mathrm{p}, \mathrm{q}, \mathrm{r}$$ be three statements, then $$[p \rightarrow(q \rightarrow r)] \leftrightarrow[

View Question $$\int_\limits1^2 \frac{\mathrm{d} x}{\left(x^2-2 x+4\right)^{\frac{3}{2}}}=\frac{\mathrm{k}}{\mathrm{k}+5} \text {, the

View Question The sides of a rectangle are given by the equations $$x=-2, x=4, y=-2$$ and $$y=5$$
Then the equation of the circle, who

View Question $$\overline{\mathrm{a}}=\hat{\mathrm{i}}+\hat{\mathrm{j}}+\hat{\mathrm{k}}, \overline{\mathrm{b}}=\hat{\mathrm{j}}-\hat{

View Question The magnitude of the projection of the vector $$2 \hat{i}+\hat{j}+\hat{k}$$ on the vector perpendicular to the plane con

View Question The shortest distance between the lines $$\frac{x-1}{2}=\frac{y-2}{3}=\frac{z-3}{4}$$ and $$\frac{x-2}{3}=\frac{y-4}{4}=

View Question If $$\bar{a}, \bar{b}$$ and $$\bar{c}$$ are any three non-zero vectors, then $$(\bar{a}+2 \bar{b}+\bar{c}) \cdot[(\bar{a

View Question In $$\triangle \mathrm{ABC}$$, with usual notations, $$\mathrm{m} \angle \mathrm{C}=\frac{\pi}{2}$$, if $$\tan \left(\fr

View Question If $$\int \frac{\sin x}{3+4 \cos ^2 x} \mathrm{~d} x=\mathrm{A} \tan ^{-1}(\mathrm{~B} \cos x)+\mathrm{c}$$, (where $$\m

View Question Vectors $$\overline{\mathrm{a}}$$ and $$\overline{\mathrm{b}}$$ are such that $$|\overline{\mathrm{a}}|=1 ;|\overline{\m

View Question If $$y$$ is a function of $$x$$ and $$\log (x+y)=2 x y$$, then the value of $$y^{\prime}(0)$$ is

View Question If $$\cos 2 B=\frac{\cos (A+C)}{\cos (A-C)}$$. Then $$\tan A, \tan B, \tan C$$ are in

View Question If $$\log _2 x+\log _4 x+\log _8 x+\log _{16} x=\frac{25}{36}$$ and $$x=2^{\mathrm{k}}$$ then $$\mathrm{k}$$ is

View Question If $$\left|\begin{array}{ccc}\cos (A+B) & -\sin (A+B) & \cos (2 B) \\ \sin A & \cos A & \sin B \\ -\cos A & \sin A & \co

View Question General solution of the differential equation $$\log \left(\frac{d y}{d x}\right)=a x+b y$$ is

View Question $$\int(\sqrt{\tan x}+\sqrt{\cot x}) d x=$$

View Question If $$Z_1=2+i$$ and $$Z_2=3-4 i$$ and $$\frac{\overline{Z_1}}{Z_2}=a+b i$$, then the value of $$-7 a+b$$ is (where $$i=\s

View Question Let $$\alpha \in\left(0, \frac{\pi}{2}\right)$$ be fixed. If the integral
$$\int \frac{\tan x+\tan \alpha}{\tan x-\tan \

View Question Two adjacent sides of a parallelogram are $$2 \hat{i}-4 \hat{j}+5 \hat{k}$$ and $$\hat{i}-2 \hat{j}-3 \hat{k}$$, then th

View Question A water tank has a shape of inverted right circular cone whose semi-vertical angle is $$\tan ^{-1}\left(\frac{1}{2}\righ

View Question The differential equation of all circles which pass through the origin and whose centres lie on $$\mathrm{Y}$$-axis is

View Question If $$x^{\mathrm{k}}+y^{\mathrm{k}}=\mathrm{a}^{\mathrm{k}}(\mathrm{a}, \mathrm{k}>0)$$ and $$\frac{\mathrm{d} y}{\mathrm

View Question The area (in sq. units) bounded by the curve $$y=x|x|, \mathrm{X}$$-axis and the lines $$x=-1$$ and $$x=1$$ is

View Question The co-ordinates of the point, where the line $$\frac{x-1}{2}=\frac{y-2}{-3}=\frac{z+5}{4}$$ meets the plane $$2 x+4 y-\

View Question $$\lim _\limits{x \rightarrow 0} \frac{(1-\cos 2 x) \cdot \sin 5 x}{x^2 \sin 3 x}$$ is

View Question If $$\mathrm{g}$$ is the inverse of $$\mathrm{f}$$ and $$\mathrm{f}^{\prime}(x)=\frac{1}{1+x^3}$$, then $$\mathrm{g}^{\p

View Question A problem in statistics is given to three students A, B and C. Their probabilities of solving the problem are $$\frac{1}

View Question Let $$A=\left[\begin{array}{ccc}1 & 1 & 1 \\ 0 & 1 & 3 \\ 1 & -2 & 1\end{array}\right], B=\left[\begin{array}{c}6 \\ 11

View Question $$f(x)=\left\{\begin{array}{ll}
\frac{1-\cos k x}{x^2}, & \text { if } x \leq 0 \\
\frac{\sqrt{x}}{\sqrt{16+\sqrt{x}}-4}

View Question If $$\mathrm{D}, \mathrm{E}$$ and $$\mathrm{F}$$ are the mid-points of the sides $$\mathrm{BC}$$, $$\mathrm{CA}$$ and $$

View Question Two cards are drawn successively with replacement from a well shuffled pack of 52 cards, then mean of number of queens i

View Question The equation of a plane, containing the line of intersection of the planes $$2 x-y-4=0$$ and $$y+2 z-4=0$$ and passing t

View Question A random variable $$\mathrm{X}$$ assumes values 1, 2, 3, ....., n with equal probabilities, if $$\operatorname{var}(X)=E

View Question The graphical solution set for the system of inequations
$$x-2 y \leq 2,5 x+2 y \geq 10,4 x+5 y \leq 20, x \geq 0,
y \ge

View Question Let $$\mathrm{f}(0)=-3$$ and $$\mathrm{f}^{\prime}(x) \leq 5$$ for all real values of $$x$$. The $$\mathrm{f}(2)$$ can h

View Question ## Physics

Light of wavelength ',$$\lambda$$' is incident on a slit of width '$$\mathrm{d}$$'. The resulting diffraction pattern is

View Question Two S.H.Ms. are represented by equations $$\mathrm{y}_1=0.1 \sin \left(100 \pi \mathrm{t}+\frac{\pi}{3}\right)$$ and $$\

View Question A film of soap solution is formed between two straight parallel wires of length $$10 \mathrm{~cm}$$ each separated by $$

View Question An ideal gas in a container of volume 500 c.c. is at a pressure of $$2 \times 10^{+5} \mathrm{~N} / \mathrm{m}^2$$. The

View Question A gas at N.T.P. is suddenly compressed to onefourth of its original volume. If $$\gamma=1.5$$, then the final pressure i

View Question A particle of mass '$$\mathrm{m}$$' moves along a circle of radius '$$r$$' with constant tangential acceleration. If K.E

View Question An e.m.f. $$E=4 \cos (1000 t)$$ volt is applied to an LR circuit of inductance $$3 \mathrm{~mH}$$ and resistance $$4 ~\O

View Question In the reverse biasing of a p-n junction diode :

View Question When a charge of $$3 ~\mathrm{C}$$ is placed in uniform electric field, it experiences a force of $$3000 \mathrm{~N}$$.

View Question A soap bubble of radius '$$R$$' is blown. After heating a solution, a second bubble of radius '$$2 \mathrm{R}$$' is blow

View Question In a transistor, in common emitter configuration, the ratio of power gain to voltage gain is

View Question A galvanometer of resistance $$20 ~\Omega$$ gives a deflection of 5 divisions when $$1 \mathrm{~mA}$$ current flows thro

View Question The equation of simple harmonic progressive wave is given by $$y=a \sin 2 \pi(b t-c x)$$. The maximum particle velocity

View Question Five current carrying conductors meet at a point '$$\mathrm{O}$$' as shown in figure. The magnitude and direction of the

View Question An alternating voltage of frequency '$$\omega$$' is induced in electric circuit consisting of an inductance '$$L$$' and

View Question A gas is compressed at a constant pressure of $$50 \mathrm{~N} / \mathrm{m}^2$$ from a volume of $$10 \mathrm{~m}^3$$ to

View Question The reactance of capacitor at $$50 \mathrm{~Hz}$$ is $$5 \Omega$$. If the frequency is increased to $$100 \mathrm{~Hz}$$

View Question Stationary waves can be produced in

View Question The pressure exerted by an ideal gas at a particular temperature is directly proportional to

View Question If a ray of light in denser medium strikes a rarer medium at angle of incidence $$i$$, the angles of reflection and refr

View Question A spring has a certain mass suspended from it and its period for vertical oscillations is '$$T_1$$'. The spring is now c

View Question When photons of energies twice and thrice the work function of a metal are incident on the metal surface one after other

View Question A simple pendulum of length $$2 \mathrm{~m}$$ is given a horizontal push through angular displacement of $$60^{\circ}$$.

View Question The force acting on the electron in hydrogen atom (Bohr' theory) is related to the principle quantum number '$$n$$' as

View Question If the frequency of the input voltage is $$50 \mathrm{~Hz}$$, applied to a (a) half wave rectifier and (b) full wave rec

View Question Periodic time of a satellite revolving above the earth's surface at a height equal to radius of the earth '$$R$$' is [ $

View Question The wavelength of light for the least energetic photons emitted in the Lyman series of the hydrogen spectrum is nearly [

View Question In Young's double slit experiment, the wavelength of light used is '$$\lambda$$'. The intensity at a point is '$$\mathrm

View Question The side of a copper cube is $$1 \mathrm{~m}$$ at $$0^{\circ} \mathrm{C}$$. What will be the change in its volume, when

View Question If current '$$I$$' is flowing in the closed circuit with collective resistance '$$R$$', the rate of production of heat e

View Question Two coils $$\mathrm{A}$$ and $$\mathrm{B}$$ have mutual inductance 0.008 $$\mathrm{H}$$. The current changes in the coil

View Question A thin rod of length $$L$$ has magnetic moment $$M$$ when magnetised. If rod is bent in a semicircular arc what is magne

View Question A fluid of density '$$\rho$$' and viscosity '$$\eta$$' is flowing through a pipe of diameter '$$d$$', with a velocity '$

View Question In Young's double slit experiment, the fringe width is $$2 \mathrm{~mm}$$. The separation between the $$13^{\text {th }}

View Question 10 A current is flowing in two straight parallel wires in the same direction. Force of attraction between them is $$1 \t

View Question Consider a planet whose density is same as that of the earth but whose radius is three times the radius '$$R$$' of the e

View Question When a certain metal surface is illuminated with light of frequency $$v$$, the stopping potential for photoelectric curr

View Question If the length of an open organ pipe is $$33.3 \mathrm{~cm}$$, then the frequency of fifth overtone is [Neglect end corre

View Question A transparent glass cube of length $$24 \mathrm{~cm}$$ has a small air bubble trapped inside. When seen normally through

View Question The temperature of an ideal gas is increased from $$27^{\circ} \mathrm{C}$$ to $$927^{\circ} \mathrm{C}$$. The r.m.s. sp

View Question A disc of radius $$R$$ and thickness $$\frac{R}{6}$$ has moment of inertia I about an axis passing through its centre an

View Question A charge '$$q$$' moves with velocity '$$v$$' through electric (E) as well as magnetic field (B). Then the force acting o

View Question A parallel combination of two capacitors of capacities '$$2 ~\mathrm{C}$$' and '$$\mathrm{C}$$' is connected across $$5

View Question Consider the following statements $$\mathrm{A}$$ and $$\mathrm{B}$$. Identify the correct choice in the given answers.
A

View Question The charges $$2 \mathrm{q},-\mathrm{q},-\mathrm{q}$$ are located at the vertices of an equilateral triangle. At the circ

View Question The magnetic field at a point $$\mathrm{P}$$ situated at perpendicular distance '$$R$$' from a long straight wire carryi

View Question A particle at rest starts moving with constant angular acceleration $$4 ~\mathrm{rad} / \mathrm{s}^2$$ in circular path.

View Question If the end correction of an open pipe is $$0.8 \mathrm{~cm}$$, then the inner radius of that pipe is

View Question The mutual inductance (M) of the two coils is $$3 ~\mathrm{H}$$. The self inductances of the coils are $$4 ~\mathrm{H}$$

View Question A particle is vibrating in S.H.M. with an amplitude of $$4 \mathrm{~cm}$$. At what displacement from the equilibrium pos

View Question