MHT CET 2020 16th October Morning Shift

Paper was held on
Fri, Oct 16, 2020 3:30 AM

## Chemistry

A sample of gas absorbs $$4000 \mathrm{~kJ}$$ of heat and surrounding does $$2000 \mathrm{~J}$$ of work on sample. What

View Question What is the value of $$\mathrm{C}-\mathrm{O}-\mathrm{H}$$ bond angle in $$\mathrm{CH}_3-\mathrm{OH}$$ ?

View Question What is the molarity of solution containing $$3.2 \mathrm{~g}$$ of $$\mathrm{NaOH}$$ (molar mass $$40 \mathrm{~g} \mathr

View Question A metallic element crystallises in simple cubic lattice. If edge length of the unit cell is $$3\mathop A\limits^o$$, wit

View Question Which among the following compounds belongs to lipids?

View Question Which of the following alcohols needs acidic $$\mathrm{KMnO}_4$$ to convert it into aldehyde or ketone?

View Question What is the bond order of B$$_2$$ molecule?

View Question Which among the following polymers is obtained from styrene and 1-3-butadiene?

View Question What is the oxidation number of As in H$$_3$$AsO$$_3$$ ?

View Question Identify the product '$$A$$' in the following reaction.
$$\text { Aniline } \xrightarrow[\text { Pyridine }]{\left(\math

View Question Which of the following molecule contain $$50 \%$$ p-character of hybrid orbital in C atom?

View Question The reaction $$2 \mathrm{R}-\mathrm{Cl}+\mathrm{CoF}_2 \longrightarrow 2 \mathrm{R}-\mathrm{F}+\mathrm{CoCl}_2$$ is an e

View Question What is the effective atomic number of $$\mathrm{Zn}$$ in $$\left[\mathrm{Zn}\left(\mathrm{NH}_3\right)_4\right] \mathrm

View Question Alkyl cynides on reduction by sodium and ethanol give primary amines. This reaction is called as

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

View Question Identify the product obtained, when benzamide is treated with bromine and aqueous sodium hydroxide.

View Question Which among the following methods is not suitable for the preparation of alkyl chlorides?

View Question A solution has an osmotic pressure of '$$x$$' $$\mathrm{kPa}$$ at $$300 \mathrm{~K}$$ having 1 mole of solute in $$10.5

View Question Identify the catalyst $$X$$ used in following reaction.
$$\mathrm{CH}_3 \mathrm{CH}_2 \mathrm{Br}+2[\mathrm{H}] \xrighta

View Question Which of the following statements is true for carbonyl group?

View Question Mixture of iodine and sodium sulphate is separated by ............... .

View Question If concentration of reactant '$$A$$' is increased by 10 times the rate of reaction becomes 100 times. What is the order

View Question Which among the following is non-poisonous in nature?

View Question A compound has fcc structure. If density of unit cell is $$3.4 \mathrm{~g} \mathrm{~cm}^{-3}$$, what is the edge length

View Question Identify the element having highest enthalpyot atomisation from following.

View Question What type of inter molecular force is present between magnesium chloride and water?

View Question Xenon crystallises in fcc lattice and the edge length of unit cell is 620 pm. What is the radius of Xe atom?

View Question How many electrons are involved in the reaction, when $$0.40 \mathrm{~F}$$ of electricity is passed through an electroly

View Question Which among the following lanthanoids, shows only +3 oxidation state?

View Question Which among the following is used as refrigerants and for air conditioning?

View Question Identify the tetradentate ligand from the following.

View Question If $$38.55 \mathrm{~kJ}$$ of heat is absorbed, when 6.0 of $$\mathrm{O}_2$$ react $$\mathrm{CIF}$$ according to reaction

View Question A first order reaction has rate constant $$1 \times 10^{-2} \mathrm{~s}^{-1}$$. What time will, it take for $$20 \mathrm

View Question Which of the following salt contain interstitial water molecule in it?

View Question Which of the following is not present in baking powder?

View Question Identify the enzyme that catalyses the reaction of $$\mathrm{CO}_2$$ with water in huma body.

View Question Which among the following pairs of halogen forms the interhalogen compound of the type $$X X^{\prime}{ }_7$$ ?

View Question Which among the following is a biodegradable polymer?

View Question Which among the following ore is concentrated by froth floatation process?

View Question Which of the following is called as mandelonitrile?

View Question Which among the following group-15 elements does not react with concentrated sulphuric acid?

View Question What will be the concentration of $$\mathrm{NaCl}$$ solution, if the molar conductivity and conductivity of $$\mathrm{Na

View Question Which among the following is an example of allylic alcohol?

View Question Which among the following amino acids has lowest molar mass?

View Question Identify the symbol used for water according to Dalton's atomic theory?

View Question An ideal gas expands isothermally and reversibly from $$10 \mathrm{~m}^3$$ to $$20 \mathrm{~m}^3$$ at $$300 \mathrm{~K}$

View Question Which among the following type of linkages is present in cellulose?

View Question Zirconium is refined by

View Question If a centimolal aqueous solution of K$$_3$$[Fe(CN)$$_6$$] has degree of dissociation 0.78. What is the value of van't Ho

View Question Which among the following is antioxident?

View Question ## Mathematics

In a triangle $$A B C$$ with usual notations, if $$\frac{\cos A}{a}=\frac{\cos B}{b}=\frac{\cos C}{c}$$, then area of tr

View Question If $$\frac{x}{\sqrt{1+x}}+\frac{y}{\sqrt{1+y}}=0, x \neq y$$, then $$(1+x)^2 \frac{d y}{d x}=$$

View Question If $$\int \frac{\sin \theta}{\sin 3 \theta} d \theta=\frac{1}{2 k} \log \left|\frac{k+\tan \theta}{k-\tan \theta}\right|

View Question The probability that bomb will miss the target is 0.2. Then, the probability that out of 10 bombs dropped exactly 2 will

View Question The polar co-ordinates of the point whose cartesian co-ordinates are $$(-2,-2)$$, are given by

View Question If $$\int \sqrt{x-\frac{1}{x}}\left(\frac{x^2+1}{x^2}\right) d x=\frac{2}{3}\left(x-\frac{1}{x}\right)^k+c$$, then value

View Question $$\int_0^a \sqrt{\frac{x}{a-x}} d x=$$

View Question The minimum value of $$Z=5 x+8 y$$ subject to $$x+y \geq 5,0 \leq x \leq 4, y \geq 2, x \geq 0, y \geq 0$$ is

View Question The sum of the cofactors of the elements of second row of the matrix $$\left[\begin{array}{rrr}1 & 3 & 2 \\ -2 & 0 & 1 \

View Question If the foot of perpendicular drawn from the origin to the plane is $$(3,2,1)$$, then the equation of plane is

View Question If $$f(x)=\log (\sin x), x \in\left[\frac{\pi}{6}, \frac{5 \pi}{6}\right]$$, then value of '$$c$$' by applying LMVT is

View Question The value of $$\sin ^{-1}\left(-\frac{1}{2}\right)+\cos ^{-1}\left(-\frac{\sqrt{3}}{2}\right)$$ is

View Question If $$p \rightarrow(\sim p \vee q)$$ is false, then the truth values of $$p$$ and $$q$$ are respectively

View Question If the equation $$k x y+5 x+3 y+2=0$$ represents a pair of lines, then $$k=$$

View Question If $$(a,-2 a), a>0$$ is the mid-point of a line segment intercepted between the co-ordinate axes, then the equation of t

View Question If the vectors $$\hat{\mathbf{i}}+\hat{\mathbf{j}}+\hat{\mathbf{k}}, \hat{\mathbf{i}}-\hat{\mathbf{j}}+\hat{\mathbf{k}}$

View Question The letters of the word 'LOGARITHM' are arranged at random. The probability that arrangement starts with vowel and end w

View Question If $$\sqrt{\frac{x}{y}}+\sqrt{\frac{y}{x}}=4$$, then $$\frac{d y}{d x}=$$

View Question If $$x \cos \theta+y \sin \theta=5, x \sin \theta-y \cos \theta=3$$, then the value of $$x^2+y^2=$$

View Question The area of the region bounded by the curve $$y=4 x^3-6 x^2+4 x+1$$ and the lines $$x=1, x=5$$ and $$X$$-axis is

View Question $$\int_\limits2^3 \frac{x}{x^2-1} d x=$$

View Question The angles between the lines
$$\mathbf{r}=(\hat{\mathbf{i}}+2 \hat{\mathbf{j}}+3 \hat{\mathbf{k}})+\lambda(\hat{\mathbf{

View Question The p.d.f of c.r.v $$X$$ is given by $$f(x)=\frac{x+2}{18}$$, if $$-2

View Question The approximate value of the function $$f(x)=x^3-3 x+5$$ at $$x=1.99$$ is

View Question If for an arithmetic progression, 9 times nineth term is equal to 13 times thirteenth term, then value of twenty second

View Question If $$A=\left[\begin{array}{rrr}2 & 0 & -1 \\ 5 & 1 & 0 \\ 0 & 1 & 3\end{array}\right]$$ and $$A^{-1}=\left[\begin{array}

View Question The differential equation obtained from the function $$y=a(x-a)^2$$ is

View Question In a quadrilateral $$ABCD, M$$ and $$N$$ are the mid-points of the sides $$A B$$ and $$C D$$ respectively. If $$\mathbf{

View Question If $$f(x)=\log (\sec x+\tan x)$$, then $$f^{\prime}\left(\frac{\pi}{4}\right)=$$

View Question If $$f(x)=\frac{2 x+3}{3 x-2}, x \neq \frac{2}{3}$$, then the function $$f$$ of is

View Question $$\int \cot x \cdot \log [\log (\sin x)] d x=$$

View Question If $$\sin \theta=-\frac{12}{13}, \cos \phi=-\frac{4}{5}$$ and $$\theta, \phi$$ lie in the third quadrant, then $$\tan (\

View Question The symbolic form of the following circuit is (where $$p, q$$ represents switches $$S_1$$ and $$s_2$$ closed respectivel

View Question The differential equation of all lines perpendicular to the line $$5 x+2 y+7=0$$ is

View Question $$\int_\limits0^{\frac{\pi}{2}} \log \left[\sqrt{\frac{1-\cos 2 x}{1+\cos 2 x}}\right] d x=$$

View Question If $$[\vec{a}\ \vec{b}\ \vec{c}\ ] \neq 0$$, then $$\frac{[\vec{a}\ +\vec{b}\ \vec{b}\ +\vec{c}\ \vec{c}\ +\vec{a}\ ]

View Question The cartesian co-ordinates of the point on the parabola $$y^2=x$$ whose parameter is $$-\frac{4}{3}$$ are

View Question The angle between the line $$r =(\hat{\mathbf{i}}+\hat{\mathbf{j}}-\hat{\mathbf{k}})+\lambda(3 \hat{\mathbf{i}}+\hat{\ma

View Question The bacteria increases at the rate proportional to the number of bacteria present. If the original number '$$N$$' double

View Question If $$A=\{x, y, z\}, B=\{1,2\}$$, then the total number of relations from set $$A$$ to set $$B$$ are :

View Question The equation of tangent at $$P(-4,-4)$$ on the curve $$x^2=-4 y$$ is

View Question The rate of decay of certain substance is directly proportional to the amount present at that instant. Initially, there

View Question The direction cosines of a line which is perpendicular to lines whose direction ratios are $$3,-2,4$$ and $$1,3,-2$$ are

View Question The points of discontinuity of the function
$$\begin{aligned}
f(x) & =\frac{1}{x-1}, \text { if } 0 \leq x \leq 2 \\
& =

View Question If the angle between the lines given by the equation $$x^2-3 x y+\lambda y^2+3 x-5 y+2=0, \lambda \geq 0$$, is $$\tan ^{

View Question If the p.m.f of a. r.v. $$X$$ is given by
$$P(X=x)=\frac{{ }^5 C_x}{2^5}$$
if $$x=0,1,2, \ldots \ldots . .5=0$$,
0 , oth

View Question The radius of the circle passing through the points $$(5,7),(2,-2)$$ and $$(-2,0)$$ is

View Question The integrating factor of the differential equation $$\left(1+x^2\right) d t=\left(\tan ^{-1} x-t\right) d x$$ is

View Question In a triangle $$A B C$$, if $$\frac{\sin A-\sin C}{\cos C-\cos A}=\cot B$$, then $$A, B, C$$, are in

View Question If the lines given by $$\frac{x-1}{2 \lambda}=\frac{y-1}{-5}=\frac{z-1}{2}$$ and $$\frac{x+2}{\lambda}=\frac{y+3}{\lambd

View Question ## Physics

An ammeter of resistance $$20 \Omega$$ gives full scale deflection, when $$1 \mathrm{~mA}$$ current flows through it. Wh

View Question An alternating emf of $$0.2 \mathrm{~V}$$ is applied across an L-C-R series circuit having $$R=4 \Omega, C=80 \mu \mathr

View Question An electron $$(e)$$ is revolving in a circular orbit of radius $$r$$ in hydrogen atom. The angular momentum of the elect

View Question In non-uniform circular motion, the ratio of tangential to radial acceleration is ($$r=$$ radius, $$\alpha=$$ angular ac

View Question In common emitter amplifier, input resistance is $$1000 \Omega$$, peak value of input signal voltage is $$5 \mathrm{~mV}

View Question A simple pendulum of length $$L$$ has mass $$m$$ and it oscillates freely with amplitude $$A$$. At extreme position, its

View Question The extension in a wire obeying Hooke's law is $$x$$. The speed of sound in the stretched wire is $$v$$. If the extensio

View Question Let force $$F=A \sin (C t)+B \cos (D x)$$, where $$x$$ and $$t$$ are displacement and time, respectively. The dimensions

View Question Two vectors of same magnitude have a resultant equal to either of the two vectors. The angle between two vectors is

View Question If there is a change of angular momentum from $$1 \mathrm{j}$$-$$\mathrm{s}$$ to $$4 \mathrm{j}$$-$$\mathrm{s}$$ in $$4

View Question For a gas, $$\frac{R}{C_V}=0.4$$, where $$R$$ is universal gas constant and $$C_V$$ is the molar specific heat at consta

View Question The maximum velocity of the photoelectron emitted by the metal surface is $$v$$. Charge and mass of the photoelectron is

View Question Energy of the incident photon on the metal surface is $$3 W$$ and then $$5 W$$, where $$W$$ is the work function for tha

View Question Water rises in a capillary tube of radius $$r$$ upto a height $$h$$. The mass of water in a capillary is $$m$$. The mass

View Question Two waves $$Y_1=0.25 \sin 316 t$$ and $$Y_2=0.25 \sin 310 t$$ are propagating along the same direction. The number of be

View Question A small metal sphere of mass $$M$$ and density $$d_1$$ when dropped in a jar filled with liquid moves with terminal velo

View Question The capacitance of a parallel plate capacitor with air as medium is $$3 \mu \mathrm{F}$$. With the introduction of a die

View Question The mass of earth is 81 times the mass of the moon and the distance between their centres is $$R$$. The distance from th

View Question A coil of $$n$$ turns and resistance $$R \Omega$$ is connected in series with a resistance $$\frac{R}{2}$$. The combinat

View Question Two identical bar magnets each of magnetic moment $$M$$, separated by some distance are kept perpendicular to each other

View Question A bullet of mass $$m$$ moving with velocity $$v$$ is fired into a wooden block of mass $$M$$, If the bullet remains embe

View Question In diffraction experiment, from a single slit, the angular width of the central maxima does not depend upon

View Question A vehicle of mass $$m$$ is moving with momentum $$p$$ on a rough horizontal road. The coefficient of friction between th

View Question In Young's double slit experiment green light is incident on the two slits. The interference pattern is observed on a sc

View Question Two identical strings of length $$l$$ and $$2l$$ vibrate with fundamental frequencies $$\mathrm{N} \mathrm{~Hz}$$ and $$

View Question In amplitude modulation,

View Question When a photon enters glass from air, which one of the following quantity does not change?

View Question Two wires $$A$$ and $$B$$ of equal lengths are connected in left and right gap of a meter bridge, null point is obtained

View Question When a small amount of impurity atoms are added to a semiconductor, then generally its resistivity

View Question When open pipe is closed from one end third overtone of closed pipe is higher in frequency by $$150 \mathrm{~Hz}$$, then

View Question A ray of light is incident at an angle $$i$$ on one face of prism of small angle $$A$$ and emerges normally from the oth

View Question Two small drops of mercury each of radius $$r$$ coalesce to form a large single drop. The ratio of the total surface ene

View Question A solid cylinder of radius $$r$$ and mass $$M$$ rolls down an inclined plane of height $$h$$. When it reaches the bottom

View Question A potentiometer wire is $$4 \mathrm{~m}$$ long and potential difference of $$3 \mathrm{~V}$$ is maintained between the e

View Question A charged particle is moving in a uniform magnetic field in a circular path of radius $$R$$. When the energy of the part

View Question The density of a metal at normal pressure $$p$$ is $$\rho$$. When it is subjected to an excess pressure, the density bec

View Question For a particle performing SHM when displacement is $$x$$, the potential energy and restoring force acting on it is denot

View Question Surface density of charge on a charged conducting sphere of radius $$R$$ in terms of electric field intensity $$E$$ at a

View Question A body is thrown from the surface of the earth velocity $$\mathrm{v} / \mathrm{s}$$. The maximum height above the earth'

View Question Using Bohr's quantisation condition, what is the rotational energy in the second orbit for a diatomic molecule? ($$I=$$

View Question A monoatomic gas of pressure $$p$$ having volume $$V$$ expands isothermally to a volume $$2V$$ and then adiabatically to

View Question A particle is moving in a radius $$R$$ with constant speed $$v$$. The magnitude of average acceleration after half revol

View Question The magnifying power of a telescope is high, if its objective and eyepiece have respectively

View Question The ratio of speed of an electron in the ground state in the Bohr's first orbit of hydrogen atom to velocity of light $$

View Question A charge $$q$$ moves with velocity $$v$$ through electric field $$\mathrm{E}$$ as well as magnetic field (B). Then, the

View Question The force acting on the electrons in hydrogen atom (Bohr's theory) is related to the principle quantum number $$n$$ as

View Question A body of mass $$2 \mathrm{~kg}$$ is acted upon by two forces each of magnitude $$1 \mathrm{~N}$$ and inclined at $$60^{

View Question Two rods of same material and volume having circular cross-section are subjected to tension $$T$$. Within the elastic li

View Question An iron rod is placed parallel to magnetic field of intensity $$2000 \mathrm{~A} / \mathrm{m}$$. The magnetic flux throu

View Question A moving body is covering distances which are proportional to square of the time. Then, the acceleration of the body is

View Question