MHT CET 2021 20th September Morning Shift

Paper was held on
Mon, Sep 20, 2021 3:30 AM

## Chemistry

Which of the following solutions does not flow in either direction, when separated by semipermeable membrane? (Molar mas

View Question For the reaction, $$3 \mathrm{I}_{(\mathrm{aq})}^{-}+\mathrm{S}_2 \mathrm{O}_{8(\mathrm{aq})}^{2-} \longrightarrow \math

View Question When alcoholic solution of an organic compound is treated with few drops of Schiff's reagent, pink colour appears. This

View Question What is O$$-$$O bond length in resonance hybrid of ozone?

View Question What is the number of unit cells present in 3.9 g of potassium if it crystallizes in BCC structure?

View Question When 2-Methylbut-2-ene is treated with hydrogen chloride, the major product obtained is

View Question Which among the following elements has completely filled 4d-orbital?

View Question Which of the following compounds on reaction with Grignard reagent followed by hydrolysis forms secondary alcohol?

View Question How many water molecules are present in formula of crystalline chloride of lithium?

View Question The solubility of AgCl in it's solution is 1.25 $$\times$$ 10$$^{-5}$$ mol dm$$^{-3}$$. What is solubility product of Ag

View Question The reagent used in Gatterman-Koch formylation of arene is

View Question Which among the following statements is true for Pt[(NH$$_3$$)$$_2$$Cl$$_2$$] ?

View Question What type of crystal structure from following has 52.36% packing efficiency?

View Question The molar conductivity of 0.1 M BaCl$$_2$$ solution is 106 $$\Omega^{-1}$$ cm$$^2$$ mol$$^{-1}$$ at 25$$^\circ$$C. What

View Question Identify the compound obtained in following reaction?

View Question A gas occupies 11.2 dm$$^3$$ at 105 kPa. What is it's volume if pressure is increased to 210 kPa?

View Question Identify the use of Buna-N from following.

View Question Which from following compounds accepts proton from water molecule according to Bronsted-Lowry theory?

View Question What amount of oxygen is used at S.T.P. to obtain 9 g water from sufficient amount of hydrogen gas?

View Question A solution of 6 g of solute in 100 g of water boils at 100.52$$^\circ$$C. The molal elevation constant of water is 0.52

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

View Question Instantaneous rate of a reaction is $$ - {1 \over 2}{{d[x]} \over {dt}} = - {{d[y]} \over {dt}} = {1 \over 2}{{d[z]} \o

View Question Which of the following reactions shows work of compression?

View Question Identify total number carbon atoms present in undecane.

View Question What is value of percent atom economy if formula weight of product is 46 u and sum of formula weight of all reactants is

View Question Half life for a first order reaction is 6.93 hour. What is the time required for 80% completion of the reaction?

View Question What is the number of moles of H atoms required to prepare one mole ethylamine from one mole acetamide?

View Question If vapour pressure of pure solvent and solution are 240 and 216 mm Hg respectively then mole fraction of solvent in solu

View Question Identify an orbital with the quantum numbers n = 4, $$l$$ = 3, m = 0.

View Question The pH of 0.1 M solution of monobasic acid is 2.34. Calculate the degree of dissociation of the acid.

View Question Calculate change in enthalpy when 39 g acetylene is completely burnt with oxygen and enthalpy of combustion of acetylene

View Question Which from following is NOT correct regarding electrolysis?

View Question A conductivity cell shows resistance of 600 ohm. If conductivity of 0.01 M KCl is 0.0015 $$\Omega^{-1}$$ cm$$^{-1}$$, wh

View Question An element (molar mass 180 ) has BCC crystal structure with density $$18 \mathrm{~g} \mathrm{~cm}^{-3}$$. What is the ed

View Question What is the number of allotropes of selenium?

View Question Which among the following is a multi-molecular colloid?

View Question Which among following statements is NOT true about Gabriel phthalimide synthesis?

View Question Identify the reagent R used in following reaction?

View Question Identify highest field strength ligand from following.

View Question Which among the following compounds is NOT a carbocyclic compound?

View Question Identify the glycosidic linkage present in lactose.

View Question Which from following elements of halogen family is in liquid state at room temperature?

View Question Which of the following compounds on reaction with ammonical silver nitrate solution forms precipitate of silver?

View Question Which of the following polymers is used in electrophoresis in the form of gel?

View Question An ideal gas on isothermal reversible compression from 10L to 5L performs 1730J of work at 300 K. Calculate number of mo

View Question Identify the correct statement about properties of interstitial compounds.

View Question Which of the following sugar is found in milk?

View Question How many chiral carbon atoms are present in 2 - Bromo - 3, 4, 5 - trimethylhexane?

View Question Which among the following is NOT correct statement about $$\mathrm{S_N1}$$ reaction?

View Question Identify reductant in following reaction.
$$\mathrm{{C_2}O_4^{2 - } + MnO_4^ - + {H^ + } \longrightarrow M{n^{2 + }} +

View Question ## Mathematics

$$\int \tan ^{-1}(\sec x+\tan x) d x=$$

View Question $$A(\propto)=\left[\begin{array}{cc}\cos \propto & \sin \propto \\ -\sin \propto & \cos \propto\end{array}\right]$$, the

View Question Two dice are rolled simultaneously. The probability that the sum of the two numbers on the dice is a prime number, is

View Question If the acute angle between the lines given by $$\mathrm{a x^2+2 h x y+b y^2=0}$$ is $$\frac{\pi}{4}$$, then $$\mathrm{4

View Question A wire of length 20 units is divided into two parts such that the product of one part and cube of the other part is maxi

View Question The shaded part of the given figure indicates the feasible region. Then the constraints are

View Question If the volume of a tetrahedron whose conterminous edges are $$\vec{\mathrm{a}}+\vec{\mathrm{b}}, \vec{\mathrm{b}}+\vec{\

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

View Question If 1 is added to first 10 natural numbers, then variance of the numbers so obtained is

View Question A random variable X has the following probability distribution
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.tg td

View Question A differential equation for the temperature 'T' of a hot body as a function of time, when it is placed in a bath which i

View Question $$\int_\limits0^{\pi / 4} \log (1+\tan x) d x=$$

View Question A particle is moving on a straight line. The distance $$\mathrm{S}$$ travelled in time $$\mathrm{t}$$ is given by $$\mat

View Question The negation of a statement 'x $$\in$$ A $$\cap$$ B $$\to$$ (x $$\in$$ A and x $$\in$$ B)' is

View Question The Cartesian equation of the plane passing through the point $$(0,7,-7)$$ and containing the line $$\frac{x+1}{-3}=\fra

View Question If $$\overline{\mathrm{e}}_1, \overline{\mathrm{e}}_2$$ and $$\overline{\mathrm{e}}_1+\overline{\mathrm{e}}_2$$ are unit

View Question If $$y=\log \tan \left(\frac{x}{2}\right)+\sin ^{-1}(\cos x)$$, then $$\frac{d y}{d x}=$$

View Question If $$\overline{\mathrm{a}}, \overline{\mathrm{b}} , \overline{\mathrm{c}}$$ are three vectors which are perpendicular to

View Question If the lines $$\frac{x-1}{2}=\frac{y+1}{3}=\frac{z-1}{4}$$ and $$\frac{x-3}{1}=\frac{y-k}{2}=\frac{z}{1}$$ intersect, th

View Question If inverse of $$\left[\begin{array}{ccc}1 & 2 & x \\ 4 & -1 & 7 \\ 2 & 4 & -6\end{array}\right]$$ does not exist, then $

View Question The general solution of the differential equation $$\frac{d y}{d x}=\frac{x+y+1}{x+y-1}$$ is given by

View Question The logical expression $$\mathrm{p} \wedge(\sim \mathrm{p} \vee \sim \mathrm{q}) \equiv$$

View Question The parametric equations of a line passing through the points $$\mathrm{A}(3,4,-7)$$ and $$\mathrm{B}(1,-1,6)$$ are

View Question The value of (1 + i)$$^5$$ (1 $$-$$ i)$$^7$$ is

View Question Rajesh has just bought a VCR from Maharashtra Electronics and the shop offers after sales service contract for Rs. 1000

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

View Question If $$A = \left[ {\matrix{
3 & 2 & 4 \cr
1 & 2 & 1 \cr
3 & 2 & 6 \cr
} } \right]$$ and A$$_{ij}$$ are co

View Question The general solution of the differential equation $$x+y \frac{d y}{d x}=\sec \left(x^2+y^2\right)$$ is

View Question $$\mathop {\lim }\limits_{x \to \infty } \left( {\sqrt {{x^2} + 5x - 7} - x} \right) = $$

View Question The differential equation of all circles which pass through the origin and whose centre lie on Y-axis is

View Question With usual notations if the angles of a triangle are in the ratio 1 : 2 : 3, then their corresponding sides are in the r

View Question $$(2 \hat{\mathrm{i}}+6 \hat{\mathrm{i}}+27 \hat{\mathrm{k}}) \times(\hat{\mathrm{i}}+\lambda \hat{\mathrm{j}}+\mu \hat{

View Question If f(x) = |x|, for x $$\in$$ ($$-1,2$$), then f is discontinuous at (where [x] represents floor function)

View Question The angle between a line with direction ratios 2, 2, 1 and a line joining (3, 1, 4) and (7, 2, 12) is

View Question The equation of the tangent to the curve $$y = 4x{e^x}$$ at $$\left( { - 1,{{ - 4} \over e}} \right)$$ is

View Question The slope of the line through the origin which makes an angle of 30$$^\circ$$ with the positive direction of Y-axis meas

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

View Question All the letters of the word 'ABRACADABRA' are arranged in different possible ways. Then the number of such arrangements

View Question If $$\int \frac{1+x^2}{1+x^4} d x=\frac{1}{\sqrt{2}} \tan ^{-1}\left[\frac{f(x)}{\sqrt{2}}\right]+c$$, then $$f(x)=$$

View Question The value of $$\sin 18^{\circ}$$ is

View Question If $$4 \sin ^{-1} x+6 \cos ^{-1} x=3 \pi$$, where $$-1 \leq x \leq 1$$, then $$x=$$

View Question If $$h(x)=\sqrt{4 f(x)+3 g(x)}, f(1)=4, g(1)=3, f^{\prime}(1)=3, g^{\prime}(1)=4$$, then $$h^{\prime}(1)=$$

View Question If the line $$\frac{x+1}{2}=\frac{y-m}{3}=\frac{z-4}{6}$$ lies in the plane $$3 x-14 y+6 z+49=0$$, then the value of $$m

View Question If $$x \in\left(0, \frac{\pi}{2}\right)$$ and $$x$$ satisfies the equation $$\sin x \cos x=\frac{1}{4}$$, then the value

View Question If $$x=a \cos \theta, y=b \sin \theta$$, then $$\left[\frac{d^2 y}{d x^2}\right]_{\theta=\frac{\pi}{4}}=$$

View Question $$\int \frac{x+\sin x}{1+\cos x} d x=$$

View Question An ice ball melts at the rate which is proportional to the amount of ice at that instant. Half the quantity of ice melts

View Question If $$\int_\limits0^{\frac{\pi}{2}} \frac{d x}{5+4 \sin x}=A \tan ^{-1} B$$, then A + B =

View Question If $$X \sim B(4, p)$$ and $$P(X=0)=\frac{16}{81}$$, then $$P(X=4)=$$

View Question If the lines $$3x - 4y + 4 = 0$$ and $$6x - 8y - 7 = 0$$ are tangents to a circle, then the radius of the circle is

View Question ## Physics

A mass '$$\mathrm{m}_1$$' is suspended from a spring of negligible mass. A spring is pulled slightly in downward directi

View Question If the charge to ratio of an electron is 'A' C/kg, then the gyromagnetic ratio of an orbital electron in C/kg is

View Question A parallel plate capacitor filled with oil of a dielectric constant 3 between the plates has capacitance 'C'. If the oil

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

View Question A perfectly black body emits a radiation at temperature 'T$$_1$$' K. If it is to radiate at 16 times this power, its tem

View Question Two conducting wire loops are concentric and lie in the same plane. The current in the outer loop is clockwise and incre

View Question Two particles $$\mathrm{P}$$ and $$\mathrm{Q}$$ performs S.H.M. of same amplitude and frequency along the same straight

View Question An electric dipole having dipole moment $$\mathrm{P}=\mathrm{q} \times 2 \ell$$ is placed in a uniform electric field '$

View Question The frequencies of three tuning forks $$\mathrm{A}, \mathrm{B}$$ and $$\mathrm{C}$$ are related as $$\mathrm{n}_{\mathrm

View Question The magnetic field intensity 'H' at the centre of a long solenoid having 'n' turns per unit length and carrying a curren

View Question One mole of an ideal gas expands adiabatically at constant pressure such that its temperature $$T \propto {1 \over {\sqr

View Question On an imaginary linear scale of temperature (called 'W' scale) the freezing and boiling points of water are 39$$^\circ$$

View Question When a d.c. voltage of $$200 \mathrm{~V}$$ is applied to a coil of self-inductance $$\left(\frac{2 \sqrt{3}}{\pi}\right)

View Question When light of wavelength '$$\lambda$$' is incident on a photosensitive surface, photons of power 'P' are emitted. The nu

View Question Air is pushed in a soap bubble to increase its radius from 'R' to '2R'. In this case, the pressure inside the bubble

View Question The equation of wave is given by $$\mathrm{y}=10 \sin \left(\frac{2 \pi \mathrm{t}}{30}+\alpha\right)$$. If the displace

View Question A uniformly charged half ring of a radius ' $R$ ' has linear charge density '$$\sigma$$'. The electric potential at the

View Question A sonometer wire resonates with 4 antinodes between two bridges for a given tuning fork, when 1 kg mass is suspended fro

View Question Let '$$\mathrm{R_1}$$' and '$$\mathrm{R_2}$$' are radii of two mercury drops. A big mercury drop is formed from them und

View Question A galvanometer of resistance $$50 \Omega$$ is converted to an ammeter. After shunting, the effective resistance of ammet

View Question The electron in hydrogen atom is initially in the third excited state. When it finally moves to ground state, the maximu

View Question Two different logic gates moving output '0' for the inputs (0, 1) and then for (1, 0) are

View Question A straight conductor of length 0.6 M is moved with a speed of 10 ms$$^{-1}$$ perpendicular to magnetic field of inductio

View Question If the electron in a hydrogen atom moves from ground state orbit to 5th orbit, then the potential energy of the electron

View Question A particle of mass 5kg is executing S.H.M. with an amplitude 0.3 m and time period $$\frac{\pi}{5}$$s. The maximum value

View Question The weight of a man in a lift moving upwards with an acceleration 'a' is 620 N. When the lift moves downwards with the s

View Question Consider the circuit shown in the figure. The value of current 'I' is

View Question Two bodies '$$\mathrm{A}$$' and '$$\mathrm{B}$$' start from the same point at the same instant and move along a straight

View Question Light of wavelength '$$\lambda$$' is incident on a single slit of width 'a' and the distance between slit and screen is

View Question An inductor coil wound uniformly has self inductance
'L' and resistance 'R'. The coil is broken into two identical par

View Question Two wires of same material of radius 'r' and '2r' respectively are welded together end to end. The combination is then u

View Question A ray of light travels from a denser medium to a rarer medium. The reflected and the refracted rays are perpendicular to

View Question Specific heats of an ideal gas at constant pressure and volume are denoted by $$\mathrm{C}_{\mathrm{p}}$$ and $$\mathrm{

View Question The force required to take away a flat circular plate of radius $$2 \mathrm{~cm}$$ from the surface of water is $$\left[

View Question The frequency of a given a.c. signal is 'N' Hz. When it is connected to a half wave rectifier, the number of output puls

View Question A convex lens of focal length 'F' produces a real image 'n' times the size of the object. The image distance is

View Question A solid sphere of mass $$\mathrm{M}$$, radius $$\mathrm{R}$$ has moment of inertia '$$\mathrm{I}$$' about its diameter.

View Question The depth 'd' below the surface of the earth where the value of acceleration due to gravity becomes $$\left(\frac{1}{n}\

View Question Silicon and copper are cooled from 300 K to 100 K, the specific resistance (resistivity)

View Question Two bodies rotate with kinetic energies 'E$$_1$$' and 'E$$_2$$'. Moments of inertia about their axis of rotation are 'I$

View Question When a photosensitive surface is irradiated by light of wavelengths '$$\lambda_1$$' and '$$\lambda_2$$', kinetic energie

View Question An electron (e) moves in circular orbit of radius 'r' with uniform speed 'V'. It produces magnetic field 'B' at the cent

View Question The orbital velocity of an artificial satellite in a circular orbit just above the earth's surface is 'V'. For the satel

View Question An inductor coil takes current 8A when connected to an 100 V and 50 Hz a.c. source. A pure resistor under the same condi

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

View Question For a monoatomic gas, work done at constant pressure is W. The heat supplied at constant volume for the same rise in tem

View Question In Fraunhofer diffraction pattern, slit width is 0.2 mm and screen is at 2m away from the lens. If wavelength of light u

View Question A spherical conducting shell of inner radius 'r$$_1$$' and outer radius 'r$$_2$$' has a charge 'Q'. A charge $$-$$q is p

View Question The frequency of a tuning fork is 'n' Hz and velocity of sound in air is 'V' m/s. When the tuning fork completes 'x' vib

View Question A charge of magnitude '2e' and mass '4m' is moving in an electric field $$\overrightarrow E $$. The acceleration imparte

View Question