MHT CET 2021 23rd September Evening Shift

Paper was held on
Thu, Sep 23, 2021 8:30 AM

## Chemistry

Which of the following statements about tropone is true?

View Question Edge length of unit cell of BCC structure is 352 pm. What is radius of the atom?

View Question What is the constant external pressure of an ideal gas when expanded from $$2 \times 10^{-2} \mathrm{~m}^3$$ to $$3 \tim

View Question The conductivity of $$0.012 \mathrm{~M} \mathrm{~NaBr}$$ solution is $$2.67 \times 10^{-4} \mathrm{~S} \mathrm{~cm}^{-1}

View Question How many molecules of ammonia gas are present in 67.2 dm$$^3$$, measured at S.T.P.?

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

View Question Identify 2-propoxy benzene from following :

View Question Identify the chiral molecule from the following:

View Question Which among the followings is an allylic halide?

View Question Which among the following salts undergoes hydrolysis?

View Question What is the SI unit of density?

View Question What is value of spin only magnetic moment of $$\mathrm{Ni}(\mathrm{Z}=28)$$ in +2 oxidation state?

View Question IUPAC name of the compound $$(\mathrm{CH}_3)_4 \mathrm{C}$$ is

View Question What is IUPAC name of catechol?

View Question At $$298 \mathrm{~K}, 0.1 \mathrm{M}$$ solution of acetic acid is $1.34 \%$ ionized. What is the dissociation constant o

View Question During a process, system absorbs $$710 \mathrm{~J}$$ of heat and increases the internal energy by $$460 \mathrm{~J}$$. W

View Question For simple cubic crystal edge length is expressed as

View Question Identify the use of mixture of $$\mathrm{Ar}$$ and $$\mathrm{N}_2$$ from following.

View Question Which of the following is an alkali metal?

View Question During the electrolysis of fused $$\mathrm{NaCl}$$, the product obtained at anode is

View Question Identify product B in following reaction.
Propanone $$\xrightarrow{\mathrm{Ba}(\mathrm{OH})_2} \mathrm{~A} \xrightarrow[

View Question Which among the following oxides is acidic in nature?

View Question The units of monosaccharides present in raffinose are

View Question Identify the protein present in nail.

View Question Identify the products of following reaction :
$$\mathrm{C}_6 \mathrm{H}_5 \mathrm{COOC}_2 \mathrm{H}_5 \xrightarrow[\tex

View Question An element is found to crystallize with $$\mathrm{BCC}$$ structure having density $$8.55 \mathrm{~g} \mathrm{~cm}^{-3}$$

View Question Which of the following elements in their respective oxidation states does not develop spin only magnetic moment? [$$\mat

View Question What is IUPAC name of $$[\mathrm{Co}(\mathrm{H}_2 \mathrm{O})(\mathrm{NH}_3)_5] \mathrm{I}_3$$ ?

View Question What is effective atomic number of $$\mathrm{Pt}$$ in $$\left[\mathrm{Pt}\left(\mathrm{NH}_3\right)_4\right]^{2+}$$ ? (G

View Question Which among following compounds is a secondary amine?

View Question What is vapour pressure of a solution containing $$1 \mathrm{~mol}$$ of a non-volatile solute in $$36 \mathrm{~g}$$ of w

View Question $$\mathrm{pH}$$ of soft drink is 3.6. Calculate the concentration of hydrogen ions in it.

View Question Which of the following solutions behaves nearly as an ideal solution?

View Question Identify monomers used for manufacturing of Terylene?

View Question What is the frequency of yellow light having wavelength $$580 \mathrm{~nm}$$ ?

View Question Which of the following equations represents integrated rate law for zero order reaction?

View Question The IUPAC name of following compound is

View Question Identify the compound formed from elements X, Y, Z having oxidation state +2, +5, $$-$$2 respectively.

View Question Which of the following statements is true for adsorption?

View Question Which of following compounds does not undergo vinyl polymerization?

View Question Identify the hetero atom and number of double bonds respectively present in furan?

View Question Identify compound A from following reaction.
$$\mathrm{A}+\mathrm{C}_2 \mathrm{H}_5 \mathrm{MgBr} \xrightarrow[\text { e

View Question How many hydrogen atoms are bonded to ammonium ion during solvation?

View Question What is the weight of $$\mathrm{Al}$$ deposited at cathode when 1 ampere current is passed through molten $$\mathrm{AlCl

View Question Ammonia and oxygen react at high temperature as
$$4 \mathrm{NH}_{3(\mathrm{~g})}+5 \mathrm{O}_{2(\mathrm{~g})} \longrigh

View Question Which among the following is NOT an intensive property?

View Question Which of the following represents integrated rate law equation for gas phase first order reaction, $$\mathrm{A}_{(\mathr

View Question The solution containing $$6 \mathrm{~g}$$ urea (molar mass 60 ) per $$\mathrm{dm}^3$$ of water and another solution cont

View Question Which of following is used for synthesis of adipic acid enzymatically by Drath and Frost?

View Question Identify the product formed when ethyl benzene reacts with nitric acid.

View Question ## Mathematics

The vectors $$\overrightarrow{\mathrm{AB}}=3 \hat{\mathrm{i}}+4 \hat{\mathrm{k}}$$ and $$\overrightarrow{\mathrm{AC}}=5

View Question The principal solutions of $$\cot x=\sqrt{3}$$ are

View Question The area of the region included between the parabolas $$y^2=8 x$$ and $$x^2=8 y$$, is

View Question "If two triangles are congruent, then their areas are equal." is the given statement, then the contrapositive of the inv

View Question Radium decomposes at the rate proportional to the amount present at any time. If $$\mathrm{P} \%$$ of amount disappears

View Question The minimum value of the objective function $$z=4 x+6 y$$ subject to $$x+2 y \geq 80,3 x+y \geq 75, x, y \geq 0$$ is

View Question The joint equation of pair of lines through the origin and having slopes $$(1+\sqrt{2})$$ and $$\frac{1}{(1+\sqrt{2})}$$

View Question If $$4 a b=3 h^2$$, then the ratio of slopes of the lines represented by $$a x^2+2 h x y+b y^2=0$$ is

View Question If $$A=\left[\begin{array}{ccc}5 & 6 & 3 \\ -4 & 3 & 2 \\ -4 & -7 & 3\end{array}\right]$$, then cofactors of all element

View Question A man is known to speck truth 3 out of 4 times. He throws a die and reports that it is 6. Then the probability that it i

View Question If $$\bar{a}=2 \hat{i}+3 \hat{j}-\hat{k}, \bar{b}=-\hat{i}+2 \hat{j}-4 \hat{k}$$ and $$\bar{c}=\hat{i}+\hat{j}-2 \hat{k}

View Question The differential equation obtained by eliminating A and B from $$y=A \cos \omega t+B \sin \omega t$$

View Question The Cartesian equation of a plane which passes through the points $$\mathrm{A}(2,2,2)$$ and making equal nonzero interce

View Question If $$y=x \tan y$$, then $$\frac{d y}{d x}=$$

View Question $$\int_\limits0^\pi \frac{1}{4+3 \cos x} d x=$$

View Question The distance between the lines $$3 x+4 y=9$$ and $$6 x+8 y=15$$ is

View Question The equation of common tangent to the circles $$x^2+y^2-4 x+10 y+20=0$$ and $$x^2+y^2+8 x-6 y-24=0$$ is

View Question The radius of a circular plate is increasing at the rate of $$0.01 \mathrm{~cm} / \mathrm{sec}$$, when the radius is $$1

View Question The mean of the numbers obtained on throwing a die having written 1 on three faces, 2 on two faces and 5 on
one face i

View Question The particular solution of the differential equation $$y(1+\log x) \frac{d x}{d y}-x \log x=0$$ when $$x=e, y=e^2$$ is

View Question If $$\mathrm{G}(\overline{\mathrm{g}}), \mathrm{H}(\overline{\mathrm{h}})$$ and $$\mathrm{P}(\overline{\mathrm{p}})$$ ar

View Question The co-ordinates of the foot of the perpendicular drawn from the point $$2 \hat{i}-\hat{j}+5 \hat{k}$$ to the line $$\ve

View Question Which of the following matrices are invertible?
$$\begin{aligned}
& \mathrm{A}=\left[\begin{array}{cc}
2 & 3 \\
10 & 15

View Question If $${ }^{11} \mathrm{C}_4+{ }^{11} \mathrm{C}_5+{ }^{12} \mathrm{C}_6+{ }^{13} \mathrm{C}_7={ }^{14} \mathrm{C}_5$$, th

View Question $$\int \sec ^{-1} x d x=$$

View Question If the standard deviation of data is 12 and mean is 72, then coefficient of variation is

View Question If $$x=a(\theta+\sin \theta)$$ and $$y=a(1-\cos \theta)$$ then $$\left(\frac{d^2 y}{d x^2}\right)_{at~ \theta=\pi / 2}=$

View Question If $$\sin (y+z-x), \sin (z+x-y)$$ and $$\sin (x+y-z)$$ are in AP, then

View Question The negation of inverse of $$\sim \mathrm{p} \rightarrow \mathrm{q}$$ is

View Question Let $$\overline{\mathrm{a}}=2 \hat{\mathrm{i}}+\hat{\mathrm{j}}-2 \hat{\mathrm{k}}$$ and $$\overline{\mathrm{b}}=\hat{\m

View Question $$\begin{aligned}
& \text { If the function given by} \mathrm{f}(\mathrm{x}) \\
& =-2 \sin \mathrm{x} \quad-\pi \leq \ma

View Question If $$\tan ^{-1}(2 x)+\tan ^{-1}(3 x)=\frac{\pi}{4}$$, where $$x>0$$, then $$x=$$

View Question The projection of $$\bar{a}=\hat{i}-2 \hat{j}+\hat{k}$$ on $$\bar{b}=2 \hat{i}-\hat{j}+\hat{k}$$ is

View Question Let two cards are drawn at random from a pack of 52 playing cards. Let X be the number of aces obtained. Then the value

View Question The order and degree of the differential equation $$\frac{d^2 y}{d x^2}=\sqrt{\frac{d y}{d x}}$$ are respectively

View Question $$\int_\limits1^3\left[\tan ^{-1}\left(\frac{x}{x^2-1}\right)+\tan ^{-1}\left(\frac{x^2-1}{x}\right)\right] d x=$$

View Question If amplitude of $$(z-2-3 i)$$ is $$\frac{3 \pi}{4}$$, then locus of $$z$$ is (where $$z=x+i y$$)

View Question A fair coin is tossed 100 times. The probability of getting a head for even number of times is

View Question If $$\int \frac{\sqrt{x}}{x(x+1)} d x=k \tan ^{-1} m+c$$, (where c is constant of integration), then

View Question The equation of tangent to the curve $$y=\sqrt{2} \sin \left(2 x+\frac{\pi}{4}\right)$$ at $$x=\frac{\pi}{4}$$, is

View Question With usual notations in $$\triangle$$ABC, if $$\frac{\sin A}{\sin C}=\frac{\sin (A-B)}{\sin (B-C)}$$, then $$a^2, b^2, c

View Question The general solution of the differential equation $$\cos (x+y) \frac{d y}{d x}=1$$ is

View Question The derivative of the function $$\cot ^{-1}\left[(\cos 2 x)^{1 / 2}\right]$$ at $$x=\pi / 6$$ is

View Question The domain of the function $$\log _{10}\left(x^2-5 x+6\right)$$ is

View Question If $$\bar{a}=2 \hat{i}-\hat{j}+\hat{k}, \bar{b}=\hat{i}+2 \hat{j}-3 \hat{k}$$ and $$\bar{c}=3 \hat{i}+\lambda \hat{j}+5

View Question The area of the triangle $$\mathrm{ABC}$$ is $$10 \sqrt{3} \mathrm{~cm}^2$$, angle $$\mathrm{B}$$ is $$60^{\circ}$$ and

View Question If the slopes of the lines given by the equation $$a x^2+2 h x y+b y^2=0$$ are in the ratio $$5: 3$$, then the ratio $$h

View Question For all real $$x$$, the minimum value of the function $$f(x)=\frac{1-x+x^2}{1+x+x^2}$$ is

View Question $$\int \frac{d x}{\cos x \sqrt{\cos 2 x}}=$$

View Question If the function defined by $$f(x)=K(x-x^2)$$ if $$0

View Question ## Physics

The moment of inertia of a body about the given axis, rotating with angular velocity 1 rad/s is numerically equal to 'P'

View Question An electron in a circular orbit of radius $$0.05 \mathrm{~nm}$$ performs $$10^{14}$$ revolutions/second. What is the mag

View Question A glass rod of radius '$$r_1$$' is inserted symmetrically into a vertical capillary tube of radius '$$r_2$$' ($$r_1

View Question de-Broglie wavelength associated with an electron accelerated through a potential difference '$$\mathrm{V}$$' is '$$\lam

View Question When the temperature of a semiconductor is increased, its resistance and electric conductivity respectively.

View Question A bob of simple pendulum of mass 'm' perform $$\mathrm{SHM}$$ with amplitude '$$\mathrm{A}$$' and period 'T'. Kinetic en

View Question Two positive ions, each carrying a charge 'q' are separated by a distance 'd'. If 'F' is the force of repulsion between

View Question Two circular loops P and Q are made from a uniform wire. The radii of P and Q are R$$_1$$ and R$$_2$$ respectively. The

View Question A metre scale is supported on a wedge at its centre of gravity. A body of weight 'w'. is suspended from the $$20 \mathrm

View Question A circuit containing resistance R$$_1$$, inductance L$$_1$$ and capacitance C$$_1$$ connected in series resonates at the

View Question An object executes SHM along $$x$$-axis with amplitude $$0.06 \mathrm{~m}$$. At certain distance '$$\mathrm{x}$$' metre

View Question Three charges $$-\mathrm{q}, \mathrm{Q}$$ and $$-\mathrm{q}$$ are placed at equal distances on a straight line. If the t

View Question In photoelectric effect, the photo current

View Question If the potential difference across a capacitor is increased from $$5 \mathrm{~V}$$ to $$15 \mathrm{~V}$$, then the ratio

View Question A body of mass 'm' and radius of gyration 'K' has an angular momentum 'L'. Then its angular velocity is

View Question In Young's double slit experiment, the intensity at a point where path difference is $$\frac{\lambda}{6}$$ ($$\lambda$$

View Question In Young's double slit experiment, the distance of $$\mathrm{n}^{\text {th }}$$ dark band from the central bright band i

View Question A uniform rope of length $$12 \mathrm{~m}$$ and mass $$6 \mathrm{~kg}$$ hangs vertically from the rigid support. A block

View Question For an ideal gas, $$R=\frac{2}{3} C_v$$. This suggests that the gas consists of molecules, which are [$$\mathrm{R}=$$ un

View Question For a two input AND gate, the four entries are shown in the truth table. Identify the correct ones out of these $$(\math

View Question A projectile is thrown with an initial velocity $$(a \hat{i}+b \hat{j}) \mathrm{m} / \mathrm{s}$$, where $$\hat{i}$$ and

View Question To determine the internal resistance of a cell by using a potentiometer, the null point is at $$1 \mathrm{~m}$$ when shu

View Question The rms speed of a gas molecule is '$$\mathrm{V}$$' at pressure '$$\mathrm{P}$$'. If the pressure is increased by two ti

View Question A body executes SHM under the action of force '$$\mathrm{F}_1$$' with time period '$$\mathrm{T}_1$$'. If the force is ch

View Question A long solenoid carrying current $$\mathrm{I}_1$$ produces magnetic field $$\mathrm{B}_1$$ along its axis. If the curren

View Question A conducting loop of resistance 'R' is moved to magnetic field, the total induced charge depends upon

View Question Equal volumes of two gases, having their densíties in the ratio of $$1: 16$$ exert equal pressures on the walls of two c

View Question The self inductance of solenoid of length $$31.4 \mathrm{~cm}$$, area of cross section $$10^{-3} \mathrm{~m}^2$$ having

View Question The charge on each capacitor when a voltage source os 15 V is connected in the circuit as shown, is

View Question According to de-Broglie hypothesis if an electron of mass '$$m$$' is accelerated by potential difference '$$V$$', the as

View Question What is the effect of pressure on the speed of sound in a medium, if pressure is doubled at constant temperature?

View Question Two sound waves having wavelengths $$5.0 \mathrm{~m}$$ and $$5.5 \mathrm{~m}$$ propagates in a gas with velocity 300 $$\

View Question In biprism experiment, $$6^{\text {th }}$$ bright band with wavelength '$$\lambda_1$$' coincides with $$7^{\text {th }}$

View Question The time period of a satellite of earth is 5 hours. If the separation between the earth and the satellite will satellite

View Question In the given circuit, the current in 8$$\Omega$$ resistance is 1.5 A. The total current (I) flowing in the circuit is

View Question 'Circle of least confusion' refers to which one of the following defects occurring in images formed by mirrors or lenses

View Question An ice cube of edge $$1 \mathrm{~cm}$$ melts in a gravity free container. The approximate surface area of water formed i

View Question A plano-convex lens of refractive index ($$\mu_1^{\prime}$$ fits exactly into a plano-concave lens of refractive index $

View Question A cylindrical rod has temperatures '$$T_1$$' and '$$T_2$$' at its ends. The rate of flow of heat is '$$Q_1$$' cal $$\mat

View Question Energy of electron in the second orbit of hydrogen atom is $$\mathrm{E}$$. The energy of electron '$$\mathrm{E}_3$$' in

View Question A series L-C-R circuit containing a resistance of $$120 ~\Omega$$ has angular frequency $$4 \times 10^5 \mathrm{~rad} \m

View Question A body of mass 'M' and radius 'R', situated on the surface of the earth becomes weightless at its equator when the rotat

View Question A circuit has self-inductance 'L' H and carries a current 'I' A. To prevent sparking when the circuit is switched off, a

View Question A straight wire of diameter $$0.4 \mathrm{~mm}$$ carrying a current of $$2 \mathrm{~A}$$ is replaced by another wire of

View Question In a CE transistor, a change of $$8.0 \mathrm{~mA}$$ in the emitter current produces a change of $$7.8 \mathrm{~mA}$$ in

View Question Water rises upto a height of $$4 \mathrm{~cm}$$ in a capillary tube. The lower end of the capillary tube is at a depth o

View Question The initial pressure and volume of a gas is '$$\mathrm{P}$$' and '$$\mathrm{V}$$' respectively. First by isothermal proc

View Question A particle is performing U.C.M. along the circumference of a circle of diameter $$50 \mathrm{~cm}$$ with frequency $$2 \

View Question The frequency of a tuning fork is $$220 \mathrm{~Hz}$$ and the velocity of sound in air is $$330 \mathrm{~m} / \mathrm{s

View Question Two point charges $$+3 \mu \mathrm{C}$$ and $$+8 \mu \mathrm{C}$$ repel each other with a force of $$40 \mathrm{~N}$$. I

View Question