MHT CET 2021 20th September Evening Shift

Paper was held on
Mon, Sep 20, 2021 8:30 AM

## Chemistry

What are the formulae of the compounds formed when lanthanoids (Ln) react with nitrogen and halogen respectively?

View Question
Identify '$$\mathrm{A}$$' in the following reaction.
$$A \stackrel{\text { Na/dry ether }}{\longrightarrow}$$ 3,4-diethy

View Question
For the reaction $$2 \mathrm{NO}+\mathrm{Cl}_2 \rightarrow 2 \mathrm{NOCl}$$
What is the relation between $$\frac{\mathr

View Question
What type of hybridization is exhibited by [CoF$$_6$$]$$^{3-}$$ ?

View Question
Which among the following is NOT the use of SO$$_2$$ gas?

View Question
Glucose and gluconic acid on oxidation with dilute nitric acid forms saccharic acid. This reaction confirms that glucose

View Question
Identify $$-$$I effect causing group from following.

View Question
Which from following instruments is used to determine the crystal structure?

View Question
Solubility of $$\mathrm{AgCl}$$ is $$7.2 \times 10^{-7} \mathrm{~mol} ~\mathrm{dm}^{-3}$$. What is it's solubility produ

View Question
Identify compound $$\mathrm{A}$$ used in following reaction.
Benzoic acid $$\underset{\Delta}{\stackrel{A}{\longrightarr

View Question
In a first order reaction concentration of reactant decreases from 20 m mol to 10 m mol in 1.151 min. What is rate const

View Question
Which among following compounds is a primary amine?

View Question
Which among following properties of lanthanoids is NOT true?

View Question
How many total voids are present in 1 mole of compound that forms hcp structure?

View Question
Identify neutral complex from following.

View Question
How many molecules of methyl iodide are required to obtain tetramethyl ammonium iodide from dimethyl amine?

View Question
Which of the following processes does NOT involve use of dihydrogen?

View Question
Which of the following compounds does NOT exhibit optical isomerism?

View Question
What is the value of '$$\mathrm{x}$$' in order to balance the following redox reaction by ion electron method? $$\quad \

View Question
Which among the following carbohydrates is a trisaccharide?

View Question
"Mass can neither be created nor destroyed" is the statement of

View Question
What is bond angle O-S-O in SO$$_2$$ molecule?

View Question
Which of the following bonds has highest bond enthalpy?

View Question
Which of the following compounds is optically inactive?

View Question
Which type of reaction order is followed by radioactive processes?

View Question
What is the total number of Bravais lattices present in seven types of crystal system?

View Question
Which among the following aqueous salt solution is used in conductivity cell to determine cell constant?

View Question
Calculate heat of formation of $$\mathrm{HCl}$$ gas from following reaction.
$$\mathrm{H}_{2(\mathrm{~g})}+\mathrm{Cl}_{

View Question
What is the value of frequency of radiation when transition occurs between two stationary states that differ in energy b

View Question
What is molar concentration of weak monobasic acid if dissociation constant is 5 $$\times$$ 10$$^{-8}$$ and undergoes 0.

View Question
A substance containing hydrogen and releasing H$$^+$$ in aqueous medium is acid. Identify theory suggesting this concept

View Question
What is the molar conductivity of $$0.05 \mathrm{M}$$ solution of sodium hydroxide, if it's conductivity is $$0.0118 \ma

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

View Question
What is IUPAC name of the following compound?

View Question
What is molar mass of metal with BCC structure having density 10 g cm$$^{-3}$$ and edge length 200 pm?

View Question
Calculate difference between $$\Delta \mathrm{H}$$ and $$\Delta \mathrm{U}$$ for following reaction at $$25^{\circ} \mat

View Question
What is cryoscopic constant of water if $$5 \mathrm{~g}$$ of glucose in $$100 \mathrm{~g}$$ of water has depression in f

View Question
Which of the following pairs of alkenes is an example of position isomers?

View Question
Which of the following polymers is used in the preparation of cinema films?

View Question
In carbinol system isobutyl alcohol is named as

View Question
Which among the following is strongest acid?

View Question
Identify the isomerism exhibited by methoxyethane and propan-1-ol.

View Question
Which of the following statements is correct for boiling point of a liquid?

View Question
Henry's law constant for $$\mathrm{CH}_3 \mathrm{Br}$$ is $$0.16 \mathrm{~mol} \mathrm{~L}^{-1} \mathrm{bar}^{-1}$$ at $

View Question
Identify negatively charged sol from following.

View Question
Which of the following monomer is used for preparation of Nylon-6?

View Question
Keeping temperature constant the pressure of 11.2 dm$$^3$$ of a gas was increased from 105 kPa to 420 kPa. What is the n

View Question
The change in internal energy of a system depends upon

View Question
How many faraday of electricity is required to produce 10 g of calcium metal (molar mass = 40 g mol$$^{-1}$$) from calci

View Question
Identify the product formed in the following reaction,
$$\mathrm{CH}_3-\mathrm{CH}=\mathrm{CH}-\mathrm{CH}_2-\mathrm{CHO

View Question
## Mathematics

$$\sin ^{-1}\left[\sin \left(-600^{\circ}\right)\right]+\cot ^{-1}(-\sqrt{3})=$$

View Question
If $$\mathrm{m}$$ is order and $$\mathrm{n}$$ is degree of the differential equation $$y=\frac{d p}{d x}+\sqrt{a^2 p^2-b

View Question
The surface area of a spherical balloon is increasing at the rate $$2 \mathrm{~cm}^2 / \mathrm{sec}$$. Then rate of incr

View Question
The p.m.f. of a random variable X is $$\mathrm{P(X = x) = {1 \over {{2^5}}}\left( {_x^5} \right),x = 0,1,2,3,4,5}=0$$ th

View Question
$$\overline{\mathrm{a}}, \overline{\mathrm{b}}, \overline{\mathrm{c}}$$ are vectors such that $$|\overline{\mathrm{a}}|=

View Question
If $$\frac{n !}{2 !(n-2) !}$$ and $$\frac{n !}{4 !(n-4) !}$$ are in the ratio $$2: 1$$, then $$n=$$

View Question
p : It rains today
q : I am going to school
r : I will meet my friend
s : I will go to watch a movie.
Then symbolic form

View Question
If $$a=\lim _\limits{n \rightarrow \infty} \frac{1+2+3+\ldots+n}{n^2}$$ and $$b=\lim _\limits{n \rightarrow \infty} \fra

View Question
If $$\omega$$ is complex cube root of unity and $$(1+\omega)^7=A+B\omega$$, then values of A and B are, respectively

View Question
If $$[\bar{a} \bar{b} \bar{c}]=4$$, then the volume (in cubic units) of the parallelopiped with $$\bar{a}+2 \bar{b}, \ba

View Question
The variance of the following probability distribution is,

View Question
The general solution of the differential equation $$\cos x \cdot \sin y d x+\sin x \cdot \cos y d y=0$$ is

View Question
$$\overline{\mathrm{a}}, \overline{\mathrm{b}}$$ and $$\overline{\mathrm{c}}$$ are three vectors such that $$\overline{\

View Question
$$\int \sec ^4 x \cdot \tan ^4 x d x=\frac{\tan ^m x}{m}+\frac{\tan ^n x}{n}+c$$ (where c is constant of integration), t

View Question
The x-intercept of a line passing through the points $$\left(\frac{-1}{2}, 1\right)$$ and (1, 2) is :

View Question
The Cartesian equation of the line passing through the points A(2, 2, 1) and B(1, 3, 0) is

View Question
If the variance of the numbers $$2,3,11$$ and $$x$$ is $$\frac{49}{4}$$, then the values of $$x$$ are

View Question
The differential equation of an ellipse whose major axis is twice its minor axis, is

View Question
The solution set for the system of linear inequations $$x+y \geq 1 ; 7 x+9 y \leq 63 ; y \leq 5 ; x \leq 6, x \geq 0$$ a

View Question
$$\cos ^{-1}\left(\frac{4}{5}\right)+\cos ^{-1}\left(\frac{12}{13}\right)=$$

View Question
The co-factors of the elements of second column of $$\left[\begin{array}{ccc}1 & -1 & 2 \\ 3 & 2 & 1 \\ -1 & 3 & 4\end{a

View Question
The Cartesian equation of the plane $$\overline{\mathrm{r}}=(\hat{\mathrm{i}}-\hat{\mathrm{j}})+\lambda(\hat{\mathrm{i}}

View Question
The principal solutions of $$\sqrt{3} \sec x+2=0$$ are

View Question
$$\int \operatorname{cosec}(x-a) \operatorname{cosec} x d x=$$

View Question
If $$f(x)=2x^3-15x^2-144x-7$$, then $$f(x)$$ is strictly decreasing in

View Question
The equation of the plane that contains the line of intersection of the planes. $$x+2 y+3 z-4=0$$ and $$2 x+y-z+5=0$$ an

View Question
If the sum of mean and variance of a binomial distribution for 5 trials is 1.8, then probability of a success is

View Question
$$y=\sqrt{e^{\sqrt{x}}}$$, then $$\frac{d y}{d x}=$$

View Question
If area of the parallelogram with $$\bar{a}$$ and $$\bar{b}$$ as two adjacent sides is 20 square units, then the area of

View Question
If $$f(x) = {{{4^{x - \pi }} + {4^{x - \pi }} - 2} \over {{{(x - \pi )}^2}}}$$, for $$x \ne \pi $$, is continuous at $$x

View Question
The equation of tangent to the circle $$x^2+y^2=64$$ at the point $$\mathrm{P\left(\frac{2\pi}{3}\right)}$$ is

View Question
If $$2 f(x)-3 f\left(\frac{1}{x}\right)=x$$, then $$\int_\limits1^e f(x) d x=$$

View Question
Water is being poured at the rate of 36 m$$^3$$/min. into a cylindrical vessel, whose circular base is of radius 3 m. T

View Question
If the equation $$3x^2-kxy-3y^2=0$$ represents the bisectors of angles between the lines $$x^2-3xy-4y^2=0$$, then value

View Question
The general solution of $$\left(x \frac{d y}{d x}-y\right) \sin \frac{y}{x}=x^3 e^x$$ is

View Question
The area bounded by the parabola $$y=x^2$$ and the line $$y=x$$ is

View Question
If $$y=\sin ^{-1}\left[\cos \sqrt{\frac{1+x}{2}}\right]+x^x$$, then $$\frac{d y}{d x}$$ at $$x=1$$ is

View Question
Negation of $$(p \wedge q) \rightarrow(\sim p \vee r)$$ is

View Question
If $$A^{-1}=\left[\begin{array}{lll}3 & 2 & 6 \\ 1 & 1 & 2 \\ 2 & 5 & 5\end{array}\right]$$, then $$A=$$

View Question
The joint equation of pair of lines through the origin and making an equilateral triangle with the line $$y=3$$ is

View Question
If $$\bar{r}=-4 \hat{i}-6 \hat{j}-2 \hat{k}$$ is a linear combination of the vectors $$\bar{a}=-\hat{i}+4 \hat{j}+3 \hat

View Question
If $$A^{-1}=\left[\begin{array}{cc}2 & -3 \\ -1 & 2\end{array}\right]$$ and $$B^{-1}=\left[\begin{array}{cc}1 & 0 \\ -3

View Question
Two unbiased dice are thrown. Then the probability that neither a doublet nor a total of 10 will appear is

View Question
The population of a city increases at a rate proportional to the population at that time. If the population of the city

View Question
Let $$A=[a, b, c, d], B=[1,2,3]$$. Relation $$R_1, R_2, R_3, R_4$$ are as follows :
$$\begin{aligned}
& R_1=[(\mathrm{a}

View Question
If $$\cos x=\frac{25}{24}$$ and $$x$$ lięs in first quadrant, then $$\sin \frac{x}{2}+\cos \frac{x}{2}=$$

View Question
If $$\int_\limits2^e\left[\frac{1}{\log x}-\frac{1}{(\log x)^2}\right] d x=a+\frac{b}{\log 2}$$, then

View Question
The vector equation of the line whose Cartesian equations are y = 2 and 4x $$-$$ 3z + 5 = 0 is

View Question
$$\int \frac{2 x^2-1}{x^4-x^2-20} d x=$$

View Question
If $$x=a(t+\sin t), y=a(1-\cos t)$$, then $$\frac{d y}{d x}=$$

View Question
## Physics

A perfect gas of volume 10 litre n compressed isothermally to a volume of 1 litre. The rms speed of the molecules will

View Question
In the arrangement of the capacitors as shown in figure, each capacitor is of 6 $$\mu$$F, then equivalent capacity betwe

View Question
The relation obeyed by a perfect gas during an adiabatic process is $$\mathrm{PV}^{3 / 2}$$. The initial temperature of

View Question
What is the additional energy that should be supplied to a moving electron to reduce its de Broglie wavelength from $$1

View Question
A convex lens of focal length $$\mathrm{T}$$ is used to form an image whose size is one fourth that of size of the objec

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

View Question
A metal conductor of length $$1 \mathrm{~m}$$ rotates vertically about one of its ends at an angular velocity of $$5 \ma

View Question
A black rectangular surface of area '$$\mathrm{A}$$' emits energy '$$\mathrm{E}$$' per second at $$27^{\circ} \mathrm{C}

View Question
A disc of radius 0.4 metre and mass 1 kg rotates about an axis passing through its centre and perpendicular to its plane

View Question
The output of an 'OR' gate is 'one'

View Question
A monoatomic gas is suddenly compressed to (1/8)th of its initial volume adiabatically. The ratio of the final pressure

View Question
In the case of insulators, a band gap and conduction band is respectively

View Question
In a single slit diffraction pattern, the distance between the first minimum on the left and the first minimum on the ri

View Question
A conducting rod of length $$1 \mathrm{~m}$$ has area of cross-section $$10^{-3} \mathrm{~m}^2$$. One end is immersed in

View Question
Which one of the following statements is true?

View Question
A particle executes S.H.M. of period $$\frac{2 \pi}{\sqrt{3}}$$ second along a straight line $$4 \mathrm{~cm}$$ long. Th

View Question
Two consecutive harmonics of an air column in a pipe closed at one end are of frequencies 150 Hz and 250 Hz. The fundame

View Question
Two masses '$$m_{\mathrm{a}}$$' and '$$\mathrm{m}_{\mathrm{b}}$$' moving with velocities '$$v_{\mathrm{a}}$$' and '$$v_{

View Question
A sample of radioactive element contains $$8 \times 10^{16}$$ active nuclei. The halt-life of the element is 15 days. Th

View Question
In Young's double slit experiment, with a source of light having wavelength $$6300 \mathop A\limits^o$$, the first maxim

View Question
What should be the radius of water drop so that excess pressure inside it is 72 Nm$$^{-2}$$ ? (The surface tension of w

View Question
A body of density $$V$$ is dropped from (at rest) height '$$h$$' into a lake of density '$$\delta$$' $$(\delta > \rho)$$

View Question
A parallel plate air capacitor is charged upto 100 V. A plate 2 mm thick is inserted between the plates. Then to maintai

View Question
A uniformly charged semicircular arc of radius '$$r$$' has linear charge density $$(\lambda)$$, is the electric field at

View Question
The P.E. 'U' of a moving particle of mass 'm' varies with 'x'-axis as shown in figure. The deBroglie wavelength or the p

View Question
An inductive coil has a resistance of $$100 ~\Omega$$. When an a.c. signal of frequency $$1000 \mathrm{~Hz}$$ is applied

View Question
The ratio of radii of gyration of a circular ring and circular disc of the same mass and radius, about an axis passing t

View Question
Two wires carrying currents $$5 \mathrm{~A}$$ and $$2 \mathrm{~A}$$ are enclosed in a circular loop as shown in the figu

View Question
A particle is suspended from a vertical spring which is executing S.H.M. of frequency $$5 \mathrm{~Hz}$$. The spring is

View Question
Photoelectrons are emitted when photons of energy $$4.2 ~\mathrm{eV}$$ are incident on a photosensitive metallic sphere

View Question
A cricket player hit a ball like a projectile but the fielder caught the ball after 2 second. The maximum height reached

View Question
In an ideal step down transformer, out of the following quantities, which quantity increases in the secondary coil?

View Question
An air column in a pipe, which is closed at one end will be in resonance with a vibrating tuning fork of frequency 264 H

View Question
The surface energy of a liquid drop is 'U'. It splits up into 512 equal droplets. The surface energy becomes

View Question
A rectifier is used to

View Question
Two stars 'P' and 'Q' emit yellow and blue light respectively. The relation between their temperatures $$\left(\mathrm{T

View Question
Inside a vessel filled with liquid a converging lens is placed as shown in figure. The lens has focal length $$15 \mathr

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

View Question
A body is projected from earth's surface with thrice the escape velocity from the surface of the earth. What will be its

View Question
The depth at which acceleration due to gravity becomes $$\frac{\mathrm{g}}{\mathrm{n}}$$ is [ $$\mathrm{R}$$ = radius of

View Question
A series LCR circuit with resistance (R) $$500 ~\mathrm{ohm}$$ is connected to an a.c. source of $$250 \mathrm{~V}$$. Wh

View Question
The gyromagnetic ratio of an electron in an hydrogen atom, according to Bohr model is

View Question
A body performs S.H.M. under the action of force '$$\mathrm{F}_1$$' with period '$$\mathrm{T}_1$$' second. If the force

View Question
Beats are produced by waves $$\mathrm{y_1=a\sin2000\pi t}$$ and $$\mathrm{y_2=a\sin2008\pi t}$$. The number of beats hea

View Question
In Young's double slit experiment, the intensity at a point where the path difference is $$\frac{\lambda}{4}$$ [ $$\lamb

View Question
The magnetic field at the centre of a current carrying circular coil of area 'A' is 'B'. The magnetic moment of the coil

View Question
A galvanometer has resistance '$$\mathrm{G}$$' $$\Omega$$ and '$$\mathrm{I}_{\mathrm{g}}$$' is current flowing through i

View Question
In potentiometer experiment, null point is obtained at a particular point for a cell on potentiometer wire '$$\mathrm{x}

View Question
A hollow charged metal sphere has radius 'R'. If the potential difference between its surface and a point at a distance

View Question
The relation between magnetic moment 'M' of revolving electron and principle quantum number 'n' is

View Question