MHT CET 2021 24th September Evening Shift

Paper was held on
Fri, Sep 24, 2021 8:30 AM

## Chemistry

Which of the following is an alkali metal?

View Question The electrical conductance of unit volume (1 cm$$^3$$) of solution is called as

View Question What is oxidation state of cobalt in a coordination complex if it's EAN is 36 and the value of C.N. is 6 (Given: Atomic

View Question Which among the following cations will not form coloured compounds? (Atomic number $$\mathrm{Cu}=29, \mathrm{Ti}=22, \ma

View Question Which of the following aldehydes is less reactive towards nucleophilic addition reaction?

View Question Which of the following is an aldohexose?

View Question Cannizzaro reaction is an example of

View Question The solution containing $$3 \mathrm{~g}$$ urea (molar mass 60 ) per $$\mathrm{dm}^3$$ of water and another solution cont

View Question Which following statement is true for vinylic halide?

View Question What is the formal charge on 'N' atom in
ion?

View Question Identify the product 'B' in the following series of reactions.
$$\mathrm{CH_3COOH+CH_3CH_2OH}$$ $$\stackrel{\mathrm{H}^{

View Question The solubility of sparingly soluble salt $$\mathrm{AB}_2$$ is $$1.0 \times 10^{-4} \mathrm{~mol} \mathrm{~dm}^{-3}$$. Wh

View Question Which element from following in +3 oxidation state forms colourless compounds?

View Question Which among the following compounds contains amino group?

View Question What is IUPAC name of phloroglucinol?

View Question In a first reaction 60% of reactant decomposes in 4.606 min. What is half life of reaction? (k = 0.1989 min$$^{-1}$$)

View Question The density of chromium metal is 7 g cm$$^{-3}$$. If edge length of unit cell is 300 pm, identify the type of unit cell.

View Question How many gram of H$$_2$$O are present in 0.25 mol of it?

View Question Identify molecular formula of pyridine from following

View Question Which of the following is a first step in mechanism of heterogenous catalysis?

View Question Which of the following carboxylic acids has lowest boiling point?

View Question For the reaction, $$2 \mathrm{~A}+\mathrm{B} \rightarrow 2 \mathrm{C}$$, rate of disappearance of $$\mathrm{A}$$ is $$0.

View Question Which of following is an example of cross-linked polymers?

View Question For isochoric process, the first law of thermodynamics can be expressed as

View Question Which of the following alcohols has lowest boiling point?

View Question What is the $$\mathrm{pH}$$ of $$0.005 \mathrm{~M} \mathrm{~H}_2 \mathrm{SO}_4$$ solution?

View Question The solubility product expression for $$\mathrm{Ca}_3\left(\mathrm{PO}_4\right)_2$$ is represented as

View Question Which among the following is NOT a feature of $$\mathrm{S}_{\mathrm{N}} 1$$ mechanism?

View Question An element has $$\mathrm{BCC}$$ structure with edge length of unit cell $$600 \mathrm{~pm}$$. What is the atomic radius

View Question When certain volume of gas expands against a constant external pressure of $$2.40 \times 10^5 \mathrm{~Pa}$$ at 300 $$\m

View Question Which among the following pairs of electronic effect and it's example is NOT correct?

View Question A certain mass of a gas occupies volume of 250 mL at 2 atm. Calculate the volume of gas if pressure is increased to 2.5

View Question Vapour pressure of solution and of pure solvent are $$\mathrm{P}_1$$ and $$\mathrm{P}_1{ }^0$$ respectively. If $$\frac{

View Question Which of the following pairs of compounds is isomorphous?

View Question What is internal energy change when $$62 \mathrm{~J}$$ of work is done on the system and $$128 \mathrm{~J}$$ of heat is

View Question Which of the following catalyst/reagent is used to convert $$\mathrm{C} \equiv \mathrm{C}$$ triple bond to $$\mathrm{C}=

View Question Which among the following reactions exhibits the reducing property of ozone?

View Question Which of the following is a correct bridged name of deoxyriboseadenosine monophosphate?

View Question What is IUPAC name of the following compound?

View Question Which among following compounds of chlorine possesses Cl atom in highest oxidation state?

View Question According to Raoult's law mole fraction of solute in solution in given by formula

View Question What is maximum number of electrons accommodated in a subshell having azimuthal quantum number, $$\ell$$ = 2 ?

View Question Half-life and rate constant for first order reaction are related by equation,

View Question What is the conductivity of 0.02 M HCl solution if molar conductivity of the solution at 25$$^\circ$$C is 412.3 $$\Omega

View Question Which among the following is a source of wool?

View Question What is percentage atom economy during conversion of reactant to product if formula weight of reactants is 246 u and of

View Question What is the charge required for the reduction of moles of Cu$$^{2+}$$ to Cu?

View Question Which of the following amine is weakest base?

View Question Which of following is NOT a redox reaction?

View Question Which among the following is a correct order of increasing field strength of ligands?

View Question ## Mathematics

The probability that at least one of the events $$E_1$$ and $$E_2$$ occurs is 0.6. If the simultaneous occurrence of $$\

View Question $$\lim _\limits{x \rightarrow 0} \frac{\sqrt{1-\cos x^2}}{1-\cos x}=$$

View Question If $$\mathrm{A}=\left[\begin{array}{cc}\lambda & \mathrm{i} \\ \mathrm{i} & -\lambda\end{array}\right]$$ and $$\mathrm{A

View Question The distance 's' in meters covered by a particle in t seconds is given by $$s=2+27 t-t^3$$. The particle will stop after

View Question If the polar co-ordinates of a point are $$\left(2, \frac{\pi^{\mathrm{c}}}{4}\right)$$, then its Cartesian co-ordinates

View Question $$\int e^x\left(\frac{1+\sin x}{1+\cos x}\right) d x=$$

View Question The negation of '$$\forall x \in N, x^2+x$$ is even number' is

View Question $$\int_\limits2^5 2[\mathrm{x}] \mathrm{dx}=\{\text { where }[\mathrm{x}] \text { denotes the greatest integer function

View Question $$\int_\limits0^\pi x \sin x \cos ^4 x d x=$$

View Question The equation of the plane which passes through (2, $$-$$3, 1) and is normal to the line joining the points (3, 4, $$-$$1

View Question A committee of 5 is to be formed out of 6 men and 4 ladies. The number of ways this can be done, when at most 2 ladies a

View Question In a triangle ABC with usual notations a = 2, b = 3, then value of $$\frac{\cos 2 \mathrm{~A}}{\mathrm{a}^2}-\frac{\cos

View Question The particular solution of the differential equation $$\left(1+e^{2 x}\right) d y+e^x\left(1+y^2\right) d x=0$$ at $$x=0

View Question If $$y=1+x e^y$$, then $$\frac{d y}{d x}=$$

View Question Two dice are thrown simultaneously. If X denotes the number of sixes, then the expectation of X is

View Question If $$G(3,-5, r)$$ is the centroid of $$\triangle A B C$$, where $$A \equiv(7,-8,1), B \equiv(p, q, 5), C \equiv(q+1,5 p,

View Question The acute angle between the lines $$\left(x^2+y^2\right) \sin \theta+2 x y=0$$ is

View Question For any non-zero vectors $$\bar{a}, \bar{b}, \bar{c}$$, the value of $$\bar{a} \cdot[(\bar{b} \times \bar{c}) \times(\ba

View Question If the lines $$\frac{2 x-4}{\lambda}=\frac{y-1}{2}=\frac{z-3}{1}$$ and $$\frac{x-1}{1}=\frac{3 y-1}{\lambda}=\frac{z-2}{

View Question The order and degree of the differential equation $$\sqrt{\frac{d y}{d x}}-4 \frac{d y}{d x}-7 x=0$$ are respectively.

View Question If $$x=e^t(\sin t-\cos t)$$ and $$y=e^t(\sin t+\cos t)$$, then $$\frac{d y}{d x}$$ at $$t=\frac{\pi}{3}$$ is

View Question If the lines represented by $$(k^2+2) x^2+3 x y-6 y^2=0$$ are perpendicular to each other, then the values of $$\mathrm{

View Question If $$\bar{a}=3 \hat{i}+\hat{j}-\hat{k}, \bar{b}=2 \hat{i}-\hat{j}+23 \hat{k}$$ and $$\bar{c}=7 \hat{i}-\hat{j}+23 \hat{k

View Question For the set of 50 observations, the sum of their squares is 3050 , their arithmetic mean is 6. Hence the standard deviat

View Question If $$y=2 x$$ is a chord of circle $$x^2+y^2-10 x=0$$, then the equation of circle with this chord as diameter is

View Question If $$\sin ^2 x+\cos ^2 y=1$$, then $$\frac{d y}{d x}=$$

View Question If $$f(x)=2\{x\}+5 x$$, where $$\{x\}$$ is fractional part function, then $$f(-1.4)$$ is

View Question The curve $$y=a x^3+b x^2+c x+5$$ touches $$X$$-axis at $$P(-2,0)$$ and cuts $$Y$$-axis at a point $$Q$$, where its grad

View Question The area of the region bounded by the curve $$y=2 x-x^2$$ and X-axis is

View Question The equation of a line with slope $$-\frac{1}{\sqrt{2}}$$ and makes an intercept of $$2 \sqrt{2}$$ units on negative dir

View Question If $$\mathrm{\frac{3+2i}{1+i}=\frac{1}{2}(x+iy)}$$, then x $$-$$ y =

View Question If the angle between the vectors $$\overline{\mathrm{a}}=2 \lambda^2 \hat{\mathrm{i}}+4 \lambda \hat{\mathrm{j}}+\hat{\m

View Question A population P grew at the rate given by the equation $$\frac{dP}{dt}=0.5P$$, then the population will become double in

View Question If $$A=\left[\begin{array}{ccc}1 & 2 & 3 \\ -1 & 1 & 2 \\ 1 & 2 & 4\end{array}\right]$$, and $$A(\operatorname{adj} A)=k

View Question $$\int \cos ^3 x e^{\log (\sin x)^2} d x=$$

View Question The probability distribution of a random variable X is
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View Question If $$\mathrm{p}$$ : It is raining.
$$\mathrm{q}$$ : Weather is pleasant
then simplified form of the statement "It is not

View Question If $$\mathrm{f}(\mathrm{x})=\mathrm{x}, \quad$$ for $$\mathrm{x} \leq 0$$
$$=0,\quad$$ for $$x>0$$, then the function $$

View Question A fair coin is tossed for a fixed number of times. If probability of getting 7 heads is equal to probability of getting

View Question The region represented by the inequalities $$x \geq 6, y \geq 3,2 x+y \geq 10, x \geq 0, y \geq 0$$ is

View Question IF $$A X=B$$, where $$A=\left[\begin{array}{ccc}1 & -1 & 1 \\ 2 & 1 & -3 \\ 1 & 1 & 1\end{array}\right], X=\left[\begin{

View Question $$\int \frac{d x}{e^x+e^{-x}+2}=$$

View Question The co-ordinates of the points on the line $$\frac{x+2}{1}=\frac{y-1}{2}=\frac{z+1}{-2}$$ at a distance of 12 units from

View Question The value of $$\tan ^{-1} 2+\tan ^{-1} 3$$ is

View Question If $$\bar{a}+\bar{b}, \bar{b}+\bar{c}, \bar{c}+\bar{a}$$ are coterminus edges of a parallelopiped, then its volume is

View Question The differential equation of all parabolas whose axis is $$y$$-axis, is

View Question The minimum value of the function f(x) = x log x is

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

View Question $$\tan \mathrm{A}+2 \tan 2 \mathrm{~A}+4 \tan 4 \mathrm{~A}+8 \cot 8 \mathrm{~A}=$$

View Question If the vector equation of the plane $$\bar{r}=(2 \hat{i}+\hat{k})+\lambda \hat{i}+\mu(\hat{i}+2 \hat{j}-3 \hat{k})$$ in

View Question ## Physics

A current 'I' produces a magnetic flux '$$\phi$$' per turn in a coil of '$$n$$' turns. Self inductance of the coil is '$

View Question A rejector circuit is the resonant circuit in which

View Question A light of wavelength '$$\lambda$$' and intensity '$$\mathrm{I}$$' falls on photosensitive material. If '$$\mathrm{N}$$'

View Question The current drawn from the battery in the given network is (Internal resistance of the battery is negligible)

View Question The moment of inertia of a thin uniform rod of mass 'M' and length 'L' about an axis passing through a point at a distan

View Question A current $$I=10 \sin (100 \pi t)$$ ampere, is passed in a coil which induces a maximum emf $$5 \pi$$ volt in neighbouri

View Question The average density of the earth is [g is acceleration due to gravity]

View Question Two bar magnets '$$\mathrm{P}$$' and '$$\mathrm{Q}$$' are kept in uniform magnetic field '$$\mathrm{B}$$' with magnetic

View Question Which one of the following is NOT a correct expression for an ideal gas?
[$$\mathrm{C_p}=$$ Molar specific heat of a gas

View Question The molecular masses of helium and oxygen are 4 and 32 respectively. The ratio of r.m.s. speed of helium at 327$$^\circ$

View Question Which one of the following p-V diagram is correct for an isochoric process:

View Question A magnetic dipole of magnetic moment $$\mathrm{M}$$, is freely suspended in a magnetic field of induction B. The minimum

View Question In series LCR circuit, at resonance the peak value of current will be [$$\mathrm{E_0}$$ is peak emf, R is resistance, $$

View Question A particle is moving along the circular path with constant speed and centripetal acceleration 'a'. If the speed is doubl

View Question The displacement of a particle performing S.H.M. is given by $$x=5 \sin (3 t+3)$$, where $$x$$ is in $$\mathrm{cm}$$ and

View Question A cylindrical tube open at both ends has fundamental frequency 'n' in air. The tube is dipped vertically in water so tha

View Question In the following electrical network, the value of 1 is

View Question The half life of a radioactive substance is 30 minute. The time taken between 40% decay and 85% decay of the same radioa

View Question Two monochromatic beams of intensities I and 4 I respectively are superposed to form a steady interference pattern. The

View Question Three charges each of $$+1 \mu \mathrm{C}$$ are placed at the corners of an equilateral triangle. If the repulsive force

View Question Velocity of sound waves in air is '$$\mathrm{V}$$' $$\mathrm{m} / \mathrm{s}$$. For a particular sound wave in air, path

View Question Choose the correct statement. In conductors

View Question For a transistor, the current ratio $$\alpha_{\mathrm{dc}}=\frac{69}{70}$$, the current gain $$\beta_{\mathrm{dc}}$$ is

View Question 'n' small drops of same size fall through air with constant velocity $$5 \mathrm{~cm} / \mathrm{s}$$. They coalesce to f

View Question The depth from the surface of the earth of radius $$\mathrm{R}$$, at which acceleration due to gravity will be $$60 \%$$

View Question A body of mass 'm' is moving with speed 'V' along a circular path of radius 'r'. Now the speed is reduced to $$\frac{V}{

View Question The path difference between two interfering light waves meeting at a point on the screen is $$\left(\frac{57}{2}\right)

View Question Pressure inside two soap bubbles are 1.01 atm and 1.03 atm. The ratio between their volumes is (Pressure outside the soa

View Question The length and diameter of a metal wire used in sonometer is doubled. The fundamental frequency will change from 'n' to

View Question An alternating e.m.f. is $$\mathrm{e}=\mathrm{e}_0 \sin \omega \mathrm{t}$$. In what time the e.m.f. will have half its

View Question A ray of light is incident on one face of an equilateral glass prism having refractive index $$\sqrt{2}$$. It produces t

View Question The input a.c. voltage of frequency $$60 \mathrm{~Hz}$$ is applied to half-wave rectifier and also to full-wave rectifie

View Question Three point masses, each of mass 'm' are kept at the corners of an equilateral triangle of side 'L'. The system rotates

View Question A closed organ pipe and an open organ pipe of same length produce 2 beats per second when they are set into vibrations t

View Question A rectangular loop $$\mathrm{PQMN}$$ with movable arm $$\mathrm{PQ}$$ of length $$12 \mathrm{~cm}$$ and resistance $$2 \

View Question Assume that for solar radiation, surface temperature of the sun is $$6000 \mathrm{~K}$$. If Wien's constant 'b' is $$2.8

View Question The kinetic energy of a light body and a heavy body is same. Which one of them has greater momentum?

View Question Four electric charges $$+\mathrm{q},+\mathrm{q},-\mathrm{q}$$ and $$-\mathrm{q}$$ are placed in order at the corners of

View Question White light consists of wavelengths from $$480 \mathrm{~nm}$$ to $$672 \mathrm{~nm}$$. What will be the wavelength range

View Question A metal sphere cools at the rate of $$1.5^{\circ} \mathrm{C} / \mathrm{min}$$ when its temperature is $$80^{\circ} \math

View Question The ratio of energies of photons produced due to transition of electron of hydrogen atom from its (i) second to first en

View Question The length of the seconds pendulum is lm on earth. If the mass and diameter of the planet is 1.5 times that of the earth

View Question A solenoid 2 m long and 4 cm in diameter has 4 layers of windings of 1000 turns each and carries a current of 5 A. What

View Question A particle of charge 'q' and mass 'm' moves in a circular orbit of radius 'r' with angular speed '$$\omega$$'. The ratio

View Question A battery is used to charge a parallel plate capacitor till the potential difference between the plates becomes equal to

View Question In a photoelectric experiment, a graph of maximum kinetic energy $$(\mathrm{KE}_{\text {max }})$$ against the frequency

View Question If the work done in blowing a soap bubble of volume '$$\mathrm{V}$$' is '$$\mathrm{W}$$', then the work done in blowing

View Question A monochromatic ray of light travels through glass slab and water column. The number of waves in glass slab of thickness

View Question Capacitors of capacities $$\mathrm{C}_1, \mathrm{C}_2$$ and $$\mathrm{C}_3$$ are connected in series. If the combination

View Question A monoatomic gas is suddenly compressed to $$(1 / 8)^{\text {th }}$$ of its initial volume adiabatically. The ratio of t

View Question