MHT CET 2021 23th September Morning Shift

Paper was held on
Thu, Sep 23, 2021 3:30 AM

## Chemistry

What is the formal charge on '$$\mathrm{N}$$' atom in $$\mathrm{NH}_4^{+}$$ ion?

View Question Identify most stable free radical from following :

View Question Which among the following salt solution in water shows pH less than 7 ?

View Question Ethoxy benzene on reaction with hot and concentrated HI forms

View Question What is vapour pressure of solution containing $$1.8 \mathrm{~g}$$ glucose in $$16.2 \mathrm{~g}$$ water? ($$\mathrm{P}_

View Question The rate law equation for a reaction between $$\mathrm{A}, \mathrm{B}$$ and $$\mathrm{C}$$ is $$\mathrm{r}=\mathrm{k}[\m

View Question Identify product $$\mathrm{C}$$ in following conversion.
m - Hydroxy Benzaldehyde $$
\xrightarrow[\text { [Protection of

View Question Which of the following is NOT dihydric alcohol?

View Question Identify the sugar containing $$\alpha, \beta-1,2$$-glycosidic linkage.

View Question What is the freezing point of 1 molal aqueous solution of a non volatile solute? ($$\mathrm{K}_{\mathrm{f}}=1.86 \mathrm

View Question How many particles per unit cell are present in $$\mathrm{BCC}$$ structure?

View Question Identify ferromagnetic element from following.

View Question Identify the reagent used in following conversion.
Pent -3 -enenitrile $$\xrightarrow{\mathrm{A}}$$ pent -3 -enal

View Question Which of the following complexes is diamagnetic and square planar?

View Question What is the mass of $$33.6 \mathrm{~dm}^3$$ of methane gas at S.T.P.?

View Question An element with BCC structure has edge length of $$500 \mathrm{~pm}$$. If it's density is $$4 \mathrm{~g} \mathrm{~cm}^{

View Question Identify the reagent (A) used in the following reaction.

View Question What is the product formed when side chain chlorination of toluene is carried out followed by acid hydrolysis at $$373 \

View Question A system gives out $$\mathrm{x} \mathrm{~J}$$ of heat and does $$\mathrm{y} \mathrm{~J}$$ of work on it's surrounding. W

View Question Which of following reactions yields biphenyl from chlorobenzene?

View Question A system does 394 J of work on surrounding by absorbing 701 J heat. What is the change in internal energy of the system?

View Question How many electrons flow through the wire if a current of 1.5 ampere flow through it for 3 hours?

View Question The conductivity of $$0.3 \mathrm{M}$$ solution of $$\mathrm{KCl}$$ at $$298 \mathrm{~K}$$ is $$0.0627 \mathrm{~S} \math

View Question The solubility of $$\mathrm{Ag}_2 \mathrm{C}_2 \mathrm{O}_4$$ is $$2 \times 10^{-4} \mathrm{~mol} \mathrm{~L}^{-1}$$ at

View Question Two electrons occupying the same orbital are distinguished by

View Question Which statement from following is correct for homolytic fission?

View Question Identify catalyst used in manufacturing of HDP.

View Question Air is an example of a solution of

View Question A gas has a volume of $$3.4 \mathrm{~L}$$ at $$298 \mathrm{~K}$$. What is the final temperature if the volume of gas inc

View Question What is the atomic radius of polonium if it crystallises in a simple cubic structure with edge length of unit cell $$336

View Question Which among the following halides has triagonal bipyramidal structure?

View Question Which among following compounds is used as monomer in preparation of Teflon?

View Question Which of the following is NOT obtained when a mixture of bomomethane and bromoethane is treated with sodium in dry ether

View Question Time required for $$90 \%$$ completion of a first order reaction is $$t$$. What is the time required for completion of $

View Question A weak monobasic acid is $$3.0 \%$$ dissociated in it's $$0.04 \mathrm{~M}$$ solution. What is the dissociation constant

View Question Which of the following alkanes is optically active?

View Question Identify the number of unpaired electrons present and geometry respectively of [Co(NH$$_3$$)$$_6$$]$$^{3+}$$ complex.

View Question Which among the following compounds is a weakest base?

View Question In the cell represented as $$\mathrm{Ni}_{(\mathrm{s})}\left|\mathrm{Ni}_{(\mathrm{IM})}^{2 \oplus}\right|\left|\mathrm{

View Question What is the value of intercept on $$y$$-axis when $$\log \frac{x}{m}$$ is plotted against $$\log P$$ in Freundlich isoth

View Question Which from following statements is true for group 16 elements?

View Question Which among the following formulae is correctly represented according to stock notation?

View Question Identify the major product when anisole is treated with $$\mathrm{Br}_2$$ in presence of acetic acid.

View Question All the elements of group 2 react with water to form metal hydroxide and hydrogen, except the element

View Question Which of the following compound is obtained when glucose is treated with dilute nitric acid?

View Question What is the IUPAC name of glyoxal?

View Question The order of reaction for which the units of rate constant are $$\mathrm{mol} \mathrm{~dm}^{-3} \mathrm{~s}^{-1}$$ is

View Question Which among the following is a nonferrous alloy?

View Question Identify product '$$\mathrm{B}$$' in following reaction.
$$\mathrm{CH}_3 \mathrm{Br}+\mathrm{AgNO}_2 \longrightarrow \ma

View Question A balloon contains $$2.27 \mathrm{~L}$$ air and has a pressure of $$1.013 \times 10^5 \mathrm{~Nm}^{-2}$$. The balloon r

View Question ## Mathematics

If A(3, 2, $$-$$1), B($$-$$2, 2, $$-$$3) and D($$-$$2, 5, $$-$$4) are the vertices of a parallelogram, then the area of

View Question If $$\hat{a}$$ is a unit vector such that $$(\bar{x}-\hat{a}) \cdot(\bar{x}+\hat{a})=8$$, then $$|\bar{x}|=$$

View Question The equation of line, where length of the perpendicular segment from origin to the line is 4 and the inclination of this

View Question If $$\int \frac{\sin x}{\sin (x-\alpha)} d x=A x+B \log \sin (x-\alpha)+c$$, then the value of A and B are respectively

View Question The probability distribution of the number of doublets in four throws of
a pair of dice is given by

View Question Let $$\vec{v}=2 \hat{i}+2 \hat{j}-\hat{k}$$ and $$\bar{w}=\hat{i}+3 \hat{k}$$. If $$\bar{u}$$ is a unit vector, then the

View Question S1 : If $$-$$7 is an integer, then $$\sqrt{-7}$$ is a complex number
$$\mathrm{S} 2$$ : $$-$$7 is not an integer or $$\s

View Question For the probability distribution given by following
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View Question $$\int_\limits0^1|5 x-3| d x=$$

View Question Function $$f(x)=e^{-1 / x}$$ is strictly increasing for all $$x$$ where

View Question The distance between the parallel lines $$\frac{x-2}{3}=\frac{y-4}{5}=\frac{z-1}{2}$$ and $$\frac{x-1}{3}=\frac{y+2}{5}=

View Question The general solution of the differential equation $$\frac{d y}{d x}+\frac{y^2+y+1}{x^2+x+1}=0$$ is

View Question $$\tan \left(\cos ^{-1}\left(\frac{4}{5}\right)+\tan ^{-1}\left(\frac{2}{3}\right)\right)=$$

View Question The general solution of the differential equation $$\frac{d x}{d t}=\frac{x \log x}{t}$$ is

View Question If $$3 \sin \theta=2 \sin 3 \theta$$ and $$0

View Question The maximum value of the objective function $$z=2 x+3 y$$ subject to the constraints $$x+y \leq 5,2 x+y \geq 4$$ and $$x

View Question The particular solution of differential equation $$(x+y) d y+(x-y) d x=0$$ at $$x=y=1$$ is

View Question $$\int \frac{10^{\frac{x}{2}}}{\sqrt{10^{-x}-10^x}} d x=$$

View Question $$\int_0^{\pi / 2} \frac{\cos x}{3 \cos x+\sin x} d x=$$

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

View Question If $$\mathrm{A}=\left[\begin{array}{ccc}1 & 2 & 3 \\ -1 & 1 & 2 \\ 1 & 2 & 4\end{array}\right]$$, then $$\mathrm{A}(\ope

View Question A random variable X has the following probability distribution
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View Question If $$x=-2$$ and $$x=4$$ are the extreme points of $$y=x^3-\alpha x^2-\beta x+5$$, then

View Question The coordinates of the foot of the perpendicular drawn from the origin to the plane $$2 x+y-2 z=18$$ are

View Question If a circle passes through the points $$(0,0),(x, 0)$$ and $$(0, y)$$, then the coordinates of its centre are

View Question If $$A=\left[\begin{array}{ccc}1 & -1 & 1 \\ 2 & -1 & 0 \\ 3 & 3 & -4\end{array}\right], B=\left[\begin{array}{l}1 \\ 1

View Question If $$\overrightarrow{\mathrm{a}}=\hat{\mathrm{i}}+2 \hat{\mathrm{j}}+3 \hat{\mathrm{k}}, \overline{\mathrm{b}}=-\hat{\ma

View Question If two lines represented by $$a x^2+2 h x y+b y^2=0$$ makes angles $$\alpha$$ and $$\beta$$ with positive direction of $

View Question If $$\tan ^{-1}\left[\frac{\sqrt{1+x^2}-\sqrt{1-x^2}}{\sqrt{1+x^2}+\sqrt{1-x^2}}\right]=\alpha$$, then the value of $$\s

View Question The general solution of the differential equation $$\frac{d y}{d x}=2^{y-x}$$ is

View Question The vector equation of the line passing through $$\mathrm{P}(1,2,3)$$ and $$\mathrm{Q}(2,3,4)$$ is

View Question Range of the function $$f(x)=3+2^x+4^x$$ is

View Question The combined equation of a pair of lines passing through the origin and inclined at $$60^{\circ}$$ and $$30=$$ respectiv

View Question $$\int e^{\left(e^x+x\right)} d x=$$

View Question If $$z=x+iy$$ satisfies the condition $$|z+1|=1$$, then $$z$$ lies on the

View Question If $$3 \hat{j}, 4 \hat{k}$$ and $$3 \hat{j}+4 \hat{k}$$ are the position vectors of the vertices $$A, B, C$$ respectivel

View Question 10 is divided into two parts such that the sum of double of the first and square of the other is minimum, then the numbe

View Question In a triangle $$\mathrm{ABC}$$, with usual notations $$\mathrm{a}=2, \mathrm{~b}=3, \mathrm{c}=5$$, then $$\frac{\cos \m

View Question If $$f(x)=\frac{1-\sin x+\cos x}{1+\sin x+\cos x}$$, for $$x \neq \pi$$ is continuous at $$x=\pi$$, then the value of $$

View Question 140. Given that total of 16 values is 528 and sum of the squares of deviation from 33 is 9158. The variance is

View Question $$\lim _\limits{x \rightarrow 1}\left[\frac{\sqrt{x}-1}{\log x}\right]=$$

View Question If the surrounding air is kept at $$25^{\circ} \mathrm{C}$$ and a body cools from $$80^{\circ} \mathrm{C}$$ to $$50^{\ci

View Question Rooms in a hotel are numbered from 1 to 19. Rooms are allocated at random as guests arrive. The first guest to arrive is

View Question Negation of the statement : $$3+6>8$$ and $$2+3

View Question If $$f(x)=\operatorname{cosec}^{-1}\left[\frac{10}{6 \sin \left(2^x\right)-8 \cos \left(2^x\right)}\right]$$, then $$f^{

View Question The area bounded by the parabola $$y^2=4 a x$$ and its latus-rectum $$x=a$$ is

View Question If $$y=\log \sqrt{\tan x}$$, then the value of $$\frac{d y}{d x}$$ at $$x=\frac{\pi}{4}$$ is

View Question If $$\mathrm{x}=\mathrm{a}\left(\mathrm{t}-\frac{1}{\mathrm{t}}\right)$$ and $$\mathrm{y}=\mathrm{b}\left(\mathrm{t}+\fr

View Question Out of 7 consonants and 4 vowels, the number of words consisting of 3 consonants and 2 vowels are

View Question Equation of planes parallel to the plane $$x-2y+2z+4=0$$ which are at a distance of one unit from the point (1, 2, 3) ar

View Question ## Physics

If $$\mathrm{m}$$' represents the mass of each molecules of a gas and $$\mathrm{T}$$' its absolute temperature then the

View Question The mass of a spherical planet is 4 times the mass of the earth, but its radius (R) is same as that of the earth. How mu

View Question For series LCR circuit, which one of the following is a CORRECT statement?

View Question Two waves $$\mathrm{Y}_1=0.25 \sin 316 \mathrm{t}$$ and $$\mathrm{Y}_2=0.25 \sin 310 \mathrm{t}$$ are propagation same d

View Question In an LCR series a.c. circuit, the voltage across each of the components L, C and R is 60 V. The voltage across the LC c

View Question The speed of a ball of radius $$2 \mathrm{~cm}$$ in a viscous liquid is $$20 \mathrm{~cm} / \mathrm{s}$$. What will be t

View Question In hydrogen atom an electron revolves around a proton (in nucleus) at a distance 'r' m. the intensity of electric field

View Question A particle performing S.H.M. when displacement is '$$x$$', the potential energy and restoring force acting on it are den

View Question A molecule consists of two atoms each of mass '$$m$$' and separated by a distance '$$\mathrm{d}$$'. At room temperature,

View Question The magnifying power of a refracting type of astronomical telescope is '$$\mathrm{m}$$'. If focal length of eyepiece is

View Question A wooden black of mass '$$\mathrm{m}$$' moves with velocity '$$\mathrm{V}$$' and collides with another block of mass '$$

View Question Two charged metallic spheres are joined by a very thin metal wire. If the radius of the larger sphere is four times that

View Question Water rises to a height of $$2 \mathrm{~cm}$$ in a capillary tube. If cross-sectional area of the tube is reduced to $$\

View Question The radius of a planet is twice the radius of the earth. Both have almost equal average mass densities. If '$$V_P$$' and

View Question The shortest wavelength for Lyman series is 912 $$\mathop A\limits^o $$. The longest wavelength in Paschen series is

View Question A balanced bridge is shown in the circuit diagram. The metre bridge wire has resistance $$1 \Omega \mathrm{m}^{-1}$$. Th

View Question In Young's experiment with a monochromatic source and two slits, one of the slits is covered with black opaque paper, th

View Question A ray of light travels from air to water to glass and again from glass to air. Refractive index of water w.r.t. air is '

View Question In the Bohr model, an electron moves in a circular orbit around the nucleus. Considering an orbiting electron to be a ci

View Question In potentiometer experiment, cells of e.m.f. '$$E_1$$' and '$$E_2$$' are connected in series $$\left(E_1>E_2\right)$$ th

View Question Three solid spheres each of mass '$$M$$' and radius '$$R$$' are arranged as shown in the figure. The moment of inertia o

View Question A body is performing S.H.M. of amplitude 'A'. The displacement of the body from a point where kinetic energy is maximum

View Question Eddy currents are produced when

View Question The resultant gate and its Boolean expression in the given circuit is

View Question When wavelength of incident radiation on the metal surface is reduced from '$$\lambda_1$$' to '$$\lambda_2$$', the kinet

View Question A student is throwing balls vertically upwards such that he throws the $$2^{\text {nd }}$$ ball when the $$1^{\text {st

View Question Work done in increasing the size of a soap bubble from radius of $$3 \mathrm{~cm}$$ to $$5 \mathrm{~cm}$$ in millijoule

View Question What are the values of the currents flowing in each of the following diode circuits $$\mathrm{X}$$ and $$\mathrm{Y}$$ re

View Question In the interference experiment using a biprism, the distance of the slits from the screen is increased by $$25 \%$$ and

View Question Two waves are represented by the equation, $$\mathrm{y}_1=\mathrm{A} \sin (\omega \mathrm{t}+\mathrm{kx}+0.57) \mathrm{m

View Question An ideal gas at pressure '$$p$$' is adiabatically compressed so that its density becomes twice that of the initial. If $

View Question In common emitter amplifier, a change of 0.2 mA in the base current causes a change of 5 mA in the collector current. If

View Question
Figure shows triangular lamina which can rotate about different axes moment of inertia is maximum, about the axis

View Question Which one of the following statements is wrong for an isobaric process?

View Question The energy of an electron in the excited hydrogen atom is $$-3.4 \mathrm{~eV}$$. Then according to Bohr's theory, the an

View Question For a perfectly black body, coefficient of emission is

View Question Two rods of different metals have coefficients of linear expansion '$$\alpha_1$$' and '$$\alpha_2$$' respectvely. Their

View Question The temperature of a black body is increased by $$50 \%$$, then the percentage increase in the rate of radiation by the

View Question A particle excuting S.H.M starts from the mean position. Its amplitude is 'A' and time period '$$\mathrm{T}$$' At what d

View Question The fundamental frequency of an air column in pipe 'A' closed at one end coincides with second overtone of pipe 'B' open

View Question An electron is projected along the axis of circular conductor carrying current '$$\mathrm{I}$$' The electron will experi

View Question A thin ring of radius '$$R$$' meter has charge '$$q$$' coulomb uniformly spread on it. The ring rotates about its axis w

View Question A charged spherical conductor has radius '$$r$$'. The potential difference between its surface and 3 point at a distance

View Question In biprims experiment, the $$4^{\text {th }}$$ dark band is formed opposite to one of the slits. The wavelength of light

View Question The magnitude of flux linked with coil varies with time as $$\phi=3 t^2+4 t+7$$. The magnitude of induced e.m.f. at $$t=

View Question At what rate a single conductor should cut the magnetic flux so that current of $$1.5 \mathrm{~mA}$$ flows through it wh

View Question If we increase the frequency of an a.c. supply, then inductive reactance

View Question An electron of mass '$$m$$' and a photon have same energy '$$E$$'. The ratio of de-Broglie wavelength of electron to the

View Question Two parallel plates with dielectric placed between the plates are as shown in figure. The resultant capacity of capacito

View Question A bar magnet has length $$3 \mathrm{~cm}$$, cross-sectional area $$2 \mathrm{~cm}^2$$ and magnetic moment $$3 \mathrm{~A

View Question