MHT CET 2021 22th September Morning Shift

Paper was held on
Wed, Sep 22, 2021 3:30 AM

## Chemistry

What is the number of octahedral and tetrahedral voids presents respectively in 0.25 mole of a substance having hcp stru

View Question For a reaction $$\mathrm{A} \rightarrow$$ product, rate constant is $$2 \times 10^{-2} \mathrm{~s}^{-1}$$. The initial c

View Question When tert-butyl bromide is heated with silver fluoride, the major product obtained is

View Question What are the final products obtained by ozonolysis of propene?

View Question The vapour pressure of a solvent decreases by 2.5 mm Hg by adding a solute. What is the mole fraction of solute? (Vapour

View Question Which element from following belongs to oxygen family?

View Question Which among following statements is NOT true for neoprene?

View Question The common name of Benzene-1,2-diol is

View Question Identify the correct pair of mineral and its formula from following.

View Question Which element from following exhibits various different oxidation states from +2 to +7?

View Question Which among following compounds has highest boiling point?

View Question The dissociation constant of weak monobasic acid is 2.7 $$\times$$ 10$$^{-5}$$. If degree of dissociation of acid is 3 $

View Question Identify order of reaction if it's rate constant is x sec$$^{-1}$$.

View Question What is IUPAC name of following compound?

View Question Enthalpy of formation of methane is $$-$$75 kJ/mol. What is the enthalpy change for formation of 24 g of methane?

View Question The solubility product of a sparingly soluble salt AX$$_2$$ is 3.2 $$\times$$ 10$$^{-8}$$. What is it's solubility in mo

View Question Which among the following is true for chemisorption?

View Question Identify 'A' in following reaction.
A $$\mathrm{\buildrel {Dimethyl\,cadmium} \over
\longrightarrow}$$ propanone + cadm

View Question What is the resistance of $$0.01 ~\mathrm{M} ~\mathrm{KCl}$$ solution if its conductivity is $$200 ~\mathrm{ohm}^{-1} \m

View Question Which of the following concepts is NOT of valence bond theory?

View Question Which among the following is a pair of dicarboxylic acids?

View Question What is the number of N atoms present in EDTA?

View Question Which is C-terminal residue in glycyl alanine?

View Question The expansion of gas having no opposing force is called as

View Question Molar conductivity of 0.04 M BaCl$$_2$$ solution is 230 $$\Omega^{-1}$$ cm$$^2$$ mol$$^{-1}$$ at 27$$^\circ$$C. What is

View Question 1 mole of an ideal gas expands isothermally and reversibly by decreasing pressure form $$210 \mathrm{~kPa}$$ to $$105 \m

View Question What is the mass of potassium chloride produced when $$12.25 \mathrm{~g}$$ potassium chlorate undergo decomposition? (At

View Question What type of hybridization is present in $$\mathrm{Ni}$$ of $$\left[\mathrm{Ni}(\mathrm{Cl})_4\right]^{2-}$$ and $$\left

View Question What is the molar mass of a metal having density 8.57 g cm$$^{-3}$$ and edge length 3.3 $$\mathop A\limits^o $$ ? (packi

View Question The wavelength of blue light is $$480 \mathrm{~nm}$$. What is frequency of this light?

View Question Identify the reagent used in following conversion.
Chloroethane $$\stackrel{\mathrm{A}}{\longrightarrow}$$ Nitro ethane

View Question Which of the following polymers is obtained from $$\varepsilon$$-caprolactum?

View Question Identify correct composition of water gas from following.

View Question Identify the major product formed when 2-Methylhexan-3-ol is heated with concentrated sulphuric acid.

View Question For the reaction $$2 \mathrm{~A}+2 \mathrm{~B} \rightarrow 2 \mathrm{C}+\mathrm{D}$$ if $$\mathrm{r}=\mathrm{k}[\mathrm{

View Question What is the difference in molar mass of a member of homologous series from it's neighboring members in gram per mole?

View Question Identify $$\mathrm{N}$$ and $$\mathrm{C}$$ terminal of $$\alpha $$-amino acid respectively in following polypeptide frag

View Question Which from following formulae is a correct formula to determine percent atom economy?

View Question What is IUPAC name of following compound?

View Question Identify reductant in following reaction.
$$\mathrm{H}_2 \mathrm{~S}+\mathrm{NO}_2 \rightarrow \mathrm{H}_2 \mathrm{O}+\

View Question What is the value of critical temperature of water?

View Question Identify the compound from following having lowest boiling point.

View Question Which among the following isomers of $$\mathrm{C}_4 \mathrm{H}_9 \mathrm{OH}$$ has lowest boiling point?

View Question Which of the following salt solutions is highly acidic?

View Question Molal depression constant for a liquid is $$2.77^{\circ} \mathrm{C} ~\mathrm{kg} ~\mathrm{mol}^{-1}$$, in Kelvin scale i

View Question Which among the following statement is NOT true about homologous series of organic compounds?

View Question If 6 g of solute dissolved in 100 g of water lowers the freezing point by 0.93 K. What is molar mass of solute? (K$$_\ma

View Question Which from following electrolytes, molar conductivity is determined using Kohlrausch theory?

View Question How many lattice points are present in a face centred cubic unit cell?

View Question Which block elements from following are known as transition elements?

View Question ## Mathematics

A polygon has 44 diagonals. Then the number of sides of the polygon are

View Question If $$x=1+2 i$$, then the value of $$x^3+7 x^2-x+16$$ is

View Question If $$y^2=a x^2+b x+c$$, where $$a, b, c$$ are constants, then $$y^3 \frac{d^2 y}{d x^2}$$ is equal to

View Question The equation of a circle that passes through the origin and cut off intercepts $$-2$$ and 3 on the $$\mathrm{X}$$-axis a

View Question Let
$$f(x)\matrix{
{ = |x| + 3,} & {if\,x \le - 3} \cr
{ = - 2x,} & {if\, - 3

View Question The particular solution of the diffrential equation $$y(1+\log x)=\left(\log x^x\right) \frac{d y}{d x}$$, when $$y(e)=e

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

View Question Bismath has half life period of 5 days. A sample originally has a mass of 1000 mg, then the mass of Bismath after 30 day

View Question In $$\triangle A B C$$, with usual notations, $$2 a b \sin \frac{1}{2}(A+B-C)=$$

View Question $$\tan 3 \mathrm{~A} \cdot \tan 2 \mathrm{~A} \cdot \tan \mathrm{A}=$$

View Question If slope of one of the lines ax$$^2$$ + 2hxy + by$$^2$$ = 0 is twice that of the other, then h$$^2$$ : ab is

View Question The general solution of $$\sin ^{-1}\left(\frac{d y}{d x}\right)=x+y$$ is

View Question If $$A=\left[\begin{array}{lll}1 & 0 & 1 \\ 0 & 2 & 3 \\ 1 & 2 & 1\end{array}\right]$$, then the value of determinant of

View Question Solution of the differential equation $$\mathrm{y'=\frac{(x^2+y^2)}{xy}}$$, where y(1) = $$-$$2 is given by

View Question The Cartesian equation of a line is $$3 x+1=6 y-2=1-z$$, then its vector equation is

View Question The position vector of the point of inersection of the medians of a triangle, whose vertices are $$A(1,2,3), B(1,0,3)$$

View Question $$\int\limits_{ - \pi }^\pi {{{x\sin x} \over {1 + {{\cos }^2}x}}dx = } $$

View Question $$\int {{e^x}\left( {{{x - 1} \over {{x^2}}}} \right)dx = } $$

View Question Area of the triangle formed by the lines $$y^2-9 x y+18 x^2=0$$ and $$y=9$$ is

View Question The point on the curve $$y^2=2(x-3)$$ at which the normal is parallel to the line $$y-2 x+1=0$$ is

View Question For two events $$\mathrm{A}$$ and $$\mathrm{B}, \mathrm{P}(\mathrm{A} \cup \mathrm{B})=\frac{5}{6}, \mathrm{P}(\mathrm{A

View Question A rectangle of maximum area is inscribed in an ellipse $$\frac{x^2}{25}+\frac{y^2}{16}=1$$, then its dimensions are

View Question The area bounded between the curve $$x^2=y$$ and the line $$y=4 x$$ is

View Question $$\lim _\limits{x \rightarrow 0} \frac{\cos (m x)-\cos (n x)}{x^2}=$$

View Question The area of the parallelogram whose diagonals are represented by the vectors $$\bar{a}=3 \hat{i}-\hat{j}-2 \hat{k}$$ and

View Question If $$\overline{\mathrm{a}}+\overline{\mathrm{b}}+\overline{\mathrm{c}}=\overline{0}$$ with $$|\overline{\mathrm{a}}|=3,|

View Question The plane $$\frac{x}{2}+\frac{y}{3}+\frac{z}{4}=1$$ cuts the $$X$$-axis at A, Y-axis at B and Z-axis at C, then the area

View Question A random variable X has following distribution
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View Question A sperical snow ball is forming so that its volume is increasing at the rate of $$8 \mathrm{~cm}^3 / \mathrm{sec}$$. Fin

View Question If $$|\bar{u}|=2$$ and $$\bar{u}$$ makes angles of $$60^{\circ}$$ and $$120^{\circ}$$ with axes $$\mathrm{OX}$$ and $$\m

View Question If $$A = \left[ {\matrix{
k & 2 \cr
{ - 2} & { - k} \cr
} } \right]$$, then A$$^{-1}$$ does not exists if k

View Question If in $$\Delta$$ABC, with usual notations, the angles are in A.P., then $$\mathrm{\frac{a}{c}}$$ sin 2 C + $$\mathrm{\fr

View Question A coin is tossed three times. If X denotes the absolute difference between the number of heads and the number of tails,

View Question The maximum value of $$z=10 x+25 y$$ subject to $$0 \leq x \leq 3,0 \leq y \leq 3, x+y \leq 5$$ occurs at the point.

View Question The expression $$[(p \wedge \sim q) \vee q] \vee(\sim p \wedge q)$$ is equivalent to

View Question If a plane meets the axes $$\mathrm{X}, \mathrm{Y}, \mathrm{Z}$$ in $$\mathrm{A}, \mathrm{B}, \mathrm{C}$$ respectively

View Question The sum of three numbers is 6. Thrice the third number when added to the first number gives 7. On adding three times fir

View Question $$\tan ^{-1}\left(\tan \frac{5 \pi}{6}\right)+\cos ^{-1}\left(\cos \frac{13 \pi}{6}\right)=$$

View Question The value of $$\int\limits_0^1 {{{\tan }^{ - 1}}\left( {{{2x - 1} \over {1 + x - {x^2}}}} \right)dx} $$ is

View Question $$x=\frac{1-t^2}{1+t^2}$$ and $$y=\frac{2 a t}{1+t^2}$$, then $$\frac{d y}{d x}=$$

View Question $$\int \sin ^{-1}\left(\frac{2 x}{1+x^2}\right) d x=\quad(\text { where }|x|

View Question The domain of the function $$f(x)=\sqrt{x-1}+\sqrt{6-x}$$ is

View Question The differential equation of all family of lines $$y=m x+\frac{4}{m}$$ obtained by eliminating the arbitrary constant $$

View Question If the variance of the data 2, 4, 5, 6, 8, 17 is 23.33, then the variance of 4, 8, 10, 12, 16, 34 will be

View Question $$y=\tan ^{-1}\left(\sqrt{\frac{1+\sin x}{1-\sin x}}\right), 0 \leq x

View Question A random variable X $$\sim$$ B (n, p), if values of mean and variance of X are 18 and 12 respectively, then n =

View Question The shortest distance between lines $$\bar{r}=(2 \hat{i}-\hat{j})+\lambda(2 \hat{i}+\hat{j}-3 \hat{k})$$ and $$\bar{r}=(

View Question The equation of perpendicular bisector of the line segment joining $$A(-2,3)$$ and $$B(6,-5)$$ is

View Question If $$\overline{\mathrm{a}}, \overline{\mathrm{b}}, \overline{\mathrm{c}}$$ are mutually perpendicular vectors having mag

View Question $$\int \frac{\sec ^8 x}{\operatorname{cosec} x} d x=
$$

View Question ## Physics

Two rotating bodies $$P$$ and $$Q$$ of masses '$$\mathrm{m}$$' and '$$2 \mathrm{~m}$$' with moment of inertia $$I_P$$ an

View Question A sound wave is travelling with a frequency of $$50 \mathrm{~Hz}$$. The phase difference between the two points in the p

View Question A logic gate which gives output 'HIGH' only when its two input terminals are at different logic levels with respect to e

View Question A circular coil of radius '$$R$$' has '$$N$$' turns of a wire. The coefficient of self induction of the coil will be ( $

View Question An a.c. source of angular frequency '$$\omega$$' is fed across a resistor '$$R$$' and a capacitor '$$C$$' in series. The

View Question A transverse wave given by $$y=2 \sin (0.01 x+30 t)$$ moves on a stretched string from one end to another end in 0.5 sec

View Question The translational kinetic energy of the molecules of a gas at absolute temperature (T) can be doubled

View Question When a light of wavelength '$$\lambda$$' falls on the emitter of a photocells, maximum speed of emitted photoelectrons i

View Question A polyatomic gas $$(\gamma=4 / 3)$$ is compressed to $$\left(\frac{1}{8}\right)^{\text {th }}$$ of its volume adiabatica

View Question If $$\omega_1$$ is angular velocity of hour hand of clock and $$\omega_2$$ is angular velocity of the earth, then the ra

View Question A wire of length 1 m is moving at a speed of 2 m/s perpendicular homogenous magnetic field of 0.5 T. The ends of the wir

View Question In Young's double slit experiment, the $$10^{\text {th }}$$ maximum of wavelength '$$\lambda_1$$' is at a distance of '$

View Question A mass $$0.4 \mathrm{~kg}$$ performs S.H.M. with a frequency $$\frac{16}{\pi} \mathrm{Hz}$$. At a certain displacement i

View Question The mass of a planet is six times that of the earth. The radius of the planet is twice that of the earth. If the escape

View Question A biconvex lens $$\left(R_1=R_2=30 \mathrm{~cm}\right)$$ has focal length equal to the focal length of concave mirror. T

View Question In an a.c. circuit, a resistance R = 40 $$\Omega$$ and an inductance 'L' are connected in series. If the phase angle bet

View Question A pipe open at both ends of length 1.5 m is dipped in water such that the second overtone of vibrating air column is res

View Question Choose the FALSE statement from the following.

View Question A sonometer wire resonates with a given tuning fork forming standing waves with five antinodes between the two bridges w

View Question If the temperature of the sun is doubled, the rate of energy received by the earth will be increased by a factor

View Question Water rises in a capillary tube of radius '$$r$$' up to a height '$$\mathrm{h}$$'. The mass of water in a capillary is '

View Question In a wheatstone's bridge, three resistances $$\mathrm{P}, \mathrm{Q}$$ and $$\mathrm{R}$$ are connected in the three arm

View Question If a current flowing in a coil is reduced to half of its initial value, the relation between the new energy $$\left(E_2\

View Question The critical angle for light going from medium A into medium B is $$\theta$$. The speed of light in the medium A is $$\m

View Question Which of the following statements is true?
($$\Delta \mathrm{U}=$$ increase in internal energy, $$\mathrm{dW}=$$ work do

View Question The frequency of the output signal of an LC oscillator circuit is '$$\mathrm{F}$$' Hz with a capacitance of 0.1 $$\mu \m

View Question A solid sphere of mass '$$M$$' and radius '$$R$$' is rotating about its diameter. A solid cylinder of same mass and same

View Question When a battery is connected to the two ends of a diagonal of a square conductor frame of side '$$a$$', the magnitude of

View Question A car of mass '$$m$$' moving with velocity '$$u$$' on a straight road in a straight line, doubles its velocity in time t

View Question A bob of a simple pendulum of mass 'm' is displaced through 90$$^\circ$$ from mean position and released. When the bob i

View Question Let '$$\mathrm{W}_1$$' be the work done in blowing a soap bubble of radius '$$r$$' from soap solution at room temperatur

View Question A cylindrical rod is having temperatures $$\theta_1$$ and $$\theta_2$$ at its ends. The rate of heat flow is '$$Q$$' $$\

View Question Two concentric coplanar circular loops of radii '$$r{ }_1$$' and '$$r_2$$' respectively carry currents '$$i_1$$' and '$$

View Question The Kirchhoff's current law and voltage law are respectively based upon the conservation of

View Question The permeability of a metal is $$0.1256 ~\mathrm{TmA}^{-1}$$. Its relative permeability will be $$\mathrm{\left( {{{{\mu

View Question The angular displacement of body performing circular motion is given by $$\theta=5 \sin \frac{\pi t}{6}$$. The angular v

View Question A single slit diffraction pattern is formed with white light. For what wavelength of light the $$3^{\text {rd }}$$ secon

View Question A point charge $$\mathrm{Q}$$ is placed at the centre of the line joining two equal point charges $$+\mathrm{q}$$ and $$

View Question If the charge on the capacitor is increased by 2 C the energy stored in it increased by 21%. Total original charge on th

View Question A nucleus breaks into two nuclear parts, which have their velocity ratio $$2: 1$$. The ratio of their nuclear radii will

View Question A body performing uniform circular motion of radius 'R' has frequency 'n'. It centripetal acceleration is

View Question For a gas molecule with 6 degrees of freedom, which one of the following relation between gas constant '$$\mathrm{R}$$'

View Question When the battery across the plates of a charged condenser is disconnected and a dielectric slab is introduced between it

View Question The width of central maximum of a diffraction pattern on a single slit does not depend upon

View Question If the amplitude of linear S.H.M. is decreased then

View Question In an n-p-n transistor 200 electrons enter the emitter in 10$$^{-8}$$ second. If 1% electrons are lost in the base, then

View Question In the given figure potential at point 'A' is 900 volt and point 'B' is earthed. What will be the potential at point 'P'

View Question Kinetic energy of a proton is equal to energy '$$E$$' of a photon. Let '$$\lambda_1$$' be the de-Broglie wavelength of p

View Question A drop of liquid of density '$$\rho$$' is floating half immersed in a liquid of density '$$d$$'. If '$$T$$' is the surfa

View Question Assuming the atom is in the ground state, the expression for the magnetic field at a point nucleus in hydrogen atom due

View Question