MHT CET 2020 16th October Evening Shift

Paper was held on
Fri, Oct 16, 2020 9:00 AM

## Chemistry

Which of the following is obtained by catalytic oxidation of ammonia?

View Question The volume of oxygen required for complete combustion of 0.25 mole of methane at STP is

View Question A solution of $$\mathrm{CuSO}_4$$ is electrolysed using a current of 1.5 amperes for 10 minutes. What mass of Cu is depo

View Question Which of the following reaction proves the chlorinating property of phosphorus pentachloride?

View Question Number of oxygen atoms present in salicylaldehyde are

View Question Which polymer from following is used as synthetic leather?

View Question Which among the following is used as an oxidising agent to bleach wood pulp into white paper?

View Question What is the number of $$\mathrm{=N-OH}$$ groups present in dimethyl glyoximato?

View Question Work done when 2 mole of an ideal gas is compressed from a volume of $$5 \mathrm{~m}^3$$ to $$2.5 \mathrm{~m}^3$$ at 300

View Question Which of the following pairs of aryl halides cannot be prepared directly by electrophilic substitution?

View Question Which of the following reaction of diazonium salt involves retention of diazonium group?

View Question The common name of 1-chloro-2, 2-dimethyl propane is

View Question Which of the following actinoids exhibits only +3 oxidation state?

View Question $$60 \mathrm{~g} \mathrm{~CH}_3 \mathrm{COOH}$$ dissolved in $$1 \mathrm{~dm}^3$$ solvent, what is molality of solution?

View Question If resistivity of 0.8 M KCl solution is $$2.5 \times 10^{-3} \Omega \mathrm{~cm}$$. Calculate molar conductivity solutio

View Question Which of the following compounds does not contain group ?

View Question If, 2 moles of an ideal gas at 546 K has volume of 44.8 L, then what will be it's pressure? $$(R=0.082)$$

View Question In which of the following compounds intramolecular hydrogen bonding is present?

View Question Which of the following is not a character of ideal drug?

View Question Identify compound '$$B$$' in following series of reactions?
$$\text { Acetonitrile } \xrightarrow{\mathrm{Na} / \text {

View Question Which among the following compounds is obtained when glucose react with hydrogen cyanide?

View Question Which of the following formula represents lithium imide?

View Question Identify the process of refining to obtain pig tin.

View Question An acylchloride is hydrogenated over catalyst palladium on barium sulphate to form an aldehyde. This reaction is called

View Question A first order reaction has a rate constant 0.00813 min$$^{-1}$$. How long will it take for 60% completion?

View Question Which of the following properties is of the thermosetting polymers?

View Question Equilibrium constant for a reaction is 20. What is the value of $$\Delta G^{\circ}$$ at $$300 \mathrm{~K} ?\left(R=8 \ti

View Question If entropy of a solid is greater than zero, at $$T=0$$, it is called

View Question Silver crystallises in fcc structure, if edge length of unit cell is 316.5 pm . What is the radius of silver atom?

View Question Which is the product obtained, when $$\mathrm{Br}_2$$ water reacts with glucose?

View Question Propane nitrile on reaction with ethyl magnesium iodide in presence of dry ether gives complex. This imine complex on ac

View Question Which of the following is not dihydric phenol?

View Question What is osmotic pressure of a semi molar solution at $$27^{\circ} \mathrm{C}$$ ? $$(R=0.082)$$

View Question What is IUPAC name of hydroquinone?

View Question In gas phase bond angle in H$$_2$$O$$_2$$ is

View Question Solutions $$A, B, C$$ and $$D$$ are respectively 0.2 M urea, $$0.10 \mathrm{~M} \mathrm{~NaCl}, 0.05 \mathrm{~M} \mathrm

View Question Which among the following carbocation is most reactive?

View Question Which of the following metals is refined by vapour phase refining in Mond process?

View Question What is correct order of $$C-X$$ bond strength in $$\mathrm{CH}_3-X$$ ?

View Question An element crystallises in a bcc lattice with cell edge of 500 pm. The density of the element is $$7.5 \mathrm{~g} \math

View Question Which among the following compound is not optically active?

View Question Which of the following benzylic alcohol is tertiary alcohol?

View Question Identify the hydrocarbon compound from following containing carbon atoms in the range of $$\mathrm{C}_6$$ to $$\mathrm{C

View Question Which of the following is multimolecular colloid?

View Question An element has a bcc structure with cell edge of 288 pm . The density of element is $$7.2 \mathrm{~g} \mathrm{~cm}^{-3}$

View Question What is the secondary valence of $$\mathrm{Co}^{3+}$$ ion according to Werner's theory in $$\left[\mathrm{Co}\left(\math

View Question Which of the following elements belongs to first inner transition series?

View Question How many numbers of $$\mathrm{P}-\mathrm{OH}$$ and $$\mathrm{P}-\mathrm{O-P}$$ bonds are present in pyrophosphoric acid

View Question What is the value of rate constant of first order reaction, if it takes 15 minutes for consumption of $$20 \%$$ of react

View Question Which of the following molecule does not contain oxygen?

View Question ## Mathematics

If the equation $$a x^2+2 h x y+b y^2+2 g x+2 f y=0$$ has one line as the bisector of the angle between co-ordinate axes

View Question $$\left[\sin \left(\tan ^{-1} \frac{3}{4}\right)\right]^2+\left[\sin \left(\tan ^{-1} \frac{4}{3}\right)\right]^2=$$

View Question If the plane $$2 x+3 y+5 z=1$$ intersects the co-ordinate axes at the points $$A, B, C$$, then the centroid of $$\triang

View Question The eccentricity of the ellipse $$y^2+4 x^2-12 x+6 y+14=0$$ is

View Question For $$f(x)=[x]$$, where $$[x]$$ is the greatest integer function, which of the following is true, for every $$x \in \mat

View Question The value of $$\tan ^{-1}\left(\frac{1}{3}\right)+\tan ^{-1}\left(\frac{1}{5}\right)+\tan ^{-1}\left(\frac{1}{7}\right)+

View Question The integrating factor of the differential equation $$\sin y\left(\frac{d y}{d x}\right)=\cos y(1-x \cos y)$$ is

View Question The direction co-sines of the line which bisects the angle between positive direction of $$Y$$ and $$Z$$ axes are

View Question The equation of normal to the curve $$y=\sin \left(\frac{\pi x}{4}\right)$$ at the point $$(2,5)$$ is

View Question The negation of the statement ' He is poor but happy' is

View Question The matrix $$A=\left[\begin{array}{rrr}a & -1 & 4 \\ -3 & 0 & 1 \\ -1 & 1 & 2\end{array}\right]$$ is not invertible only

View Question The maximum value of $$Z=3 x+5 y$$, subject to $$3 x+2 y \leq 18, x \leq 4, y \leq 6, x, y \geq 0$$ is

View Question $$\int\left[-\frac{\log x-1}{1+(\log x)^2}\right]^2 d x=$$

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

View Question The area included between the parabolas $$y^2=5 x$$ and $$x^2=5 y$$ is

View Question The straight lines represented by the equation $$9 x^2-12 x y+4 y^2=0$$ are

View Question The odds in favour of drawing a king from a pack of 52 playing cards is

View Question $$\int_{\frac{\pi}{5}}^{\frac{3 \pi}{10}}\left[\frac{\tan x}{\tan x+\cot x}\right] d x=$$

View Question The angle between the lines $$\frac{x-1}{4}=\frac{y-3}{1}=\frac{z}{8}$$ and $$\frac{x-2}{2}=\frac{y+1}{2}=\frac{z-4}{1}$

View Question In a $$\triangle A B C$$ if $$2 \cos C=\sin B \cdot \operatorname{cosec} A$$, then

View Question The order and degree of the differential equation
$$\left[1+\left[\frac{d y}{d x}\right]^3\right]^{\frac{7}{3}}=7 \frac{

View Question The rate at which the metal cools in moving air is proportional to the difference of temperatures between the metal and

View Question If $$A=\left[\begin{array}{ll}2 & 3 \\ 1 & 2\end{array}\right], \quad B=\left[\begin{array}{ll}1 & 0 \\ 3 & 1\end{array}

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

View Question $$\text { If } \sin (x+y)+\cos (x+y)=\sin \left[\cos ^{-1}\left(\frac{1}{3}\right)\right] \text {, then } \frac{dy}{dx}=

View Question The micro-organisms double themselves in 3 h. Assuming that the quantity increases at a rate proportional to it self, th

View Question Out of 100 people selected at random, 10 have common cold. If five persons selected at random from the group, then the p

View Question If the line $$r=(\hat{\mathbf{i}}-2 \hat{\mathbf{j}}+3 \hat{\mathbf{k}})+\lambda(2 \hat{\mathbf{i}}+\hat{\mathbf{j}}+2 \

View Question Let $$G$$ be the centroid of a $$\triangle A B C$$ and $$\mathrm{O}_{b_\theta}$$ other point in that plane, then $$\math

View Question The points $$A(-a,-b), B(0,0), C(a, b)$$ and $$D\left(a^2, a b\right)$$ are

View Question The particular solution of the differential equation $$y\left(\frac{d x}{d y}\right)=x \log x$$ at $$x=e$$ and $$y=1$$ i

View Question $$\tan A+2 \tan 2 A+4 \tan 4 A+8 \cot 8 A=$$

View Question $$\begin{aligned}
& \cos \left(36^{\circ}-A\right) \cos \left(36^{\circ}+A\right)+\cos \left(54^{\circ}+A\right) \cos \\

View Question The pdf of a continuous r.v. $$X$$ is given by $$f(x)=\frac{x}{8}, 0

View Question If $$f(x)=\frac{|x|}{x}$$, for $$x \neq 0$$
$$=1$$, for $$x=0$$, then tre function is

View Question If $$p, q$$ are true statement and $$r$$ is false statement, then which of the following statements is a true statement.

View Question The cosine of the angle included between the lines $$\mathbf{r}=(2 \hat{\mathbf{i}}+\hat{\mathbf{j}}-2 \hat{\mathbf{k}})

View Question $$\int \frac{1+2 e^{-x}}{1-2 e^{-x}} d x=$$

View Question If the volume of the parallelopiped whose conterminus edges are along the vectors $$\mathbf{a}, \mathbf{b}, \mathbf{c}$$

View Question The function $$f(x)=\frac{x+1}{9 x+x^3}$$ is

View Question For any non-zero vectors $$\mathbf{a}$$ and $$\mathbf{b}$$,

View Question If $$f(x)=\sin ^{-1}\left(\sqrt{\frac{1-x}{2}}\right)$$, then $$f^{\prime}(x)=$$

View Question The rational form of a number 1.41 is

View Question The length of latus-rectum of the parabola $$x^2+2 y=8 x-7$$ is

View Question If $$x+y=\frac{\pi}{2}$$, then the maximum value of $$\sin x \cdot \sin y$$ is

View Question $$\int_\limits0^1\left(\frac{x^2-2}{x^2+1}\right) d x=$$

View Question If $$a=\sin 175^{\circ}+\cos 175^{\circ}$$, then

View Question $$\int_\limits{-5}^5 \log \left(\frac{7-x}{7+x}\right) d x=$$

View Question For every value of $$x$$, the function $$f(x)=\frac{1}{a^x}, a>$$ 0 is,

View Question If a die is thrown at random, then the expectation of the number on it is

View Question ## Physics

A body slides down a smooth inclined plane having angle $$\theta$$ and reaches the bottom with velocity $$v$$. If a body

View Question A light wave of wavelength $$\lambda$$ is incident on a slit of width $$d$$. The resulting diffraction pattern is observ

View Question The damping force of an oscillator is directly proportional to the velocity. The unit of constant of proportionality is

View Question The magnetic susceptibility of a paramagnetic material at $$-73^{\circ} \mathrm{C}$$ is 0.0075. Its value at $$-173^{\ci

View Question A particle performs simple harmonic motion with period of 3 s . The time taken by it to cover a distance equal to half t

View Question A sonometer wire under suitable tension having specific gravity $$\rho$$, vibrates with frequency $$n$$ in air. If the l

View Question A radioactive nucleus emits $$4 \alpha$$-particles and $$7 \beta$$-particles in succession. The ratio of number of neutr

View Question A thin uniform rod has mass $$M$$ and length $$L$$ The moment of inertia about an axis perpendicular to it and passing t

View Question An obstacle is moving towards the source with velocity $$v$$. The sound is reflected from the obstacle. If $$c$$ is the

View Question If the angle of dip at places $$A$$ and $$B$$ are $$30^{\circ}$$ and $$45^{\circ}$$ respectively, then the ratio of hori

View Question The ratio of energy required to raise a satellite of mass $$m$$ to a height $$h$$ above the earth's surface of that requ

View Question A circular coil of radius $$R$$ is carrying a current $$I_1$$ in anti-clockwise sense. A long straight wire is carrying

View Question A circular coil of radius $$R$$ has a resistance of $$40 \Omega$$. Figure shows two points $$P$$ and $$Q$$ on the circum

View Question An $$\alpha$$-particle of energy 10 eV is moving in a circular path in uniform magnetic field. The energy of proton movi

View Question In communication system, a repeater is used to extend the range to transmission. It is the combination of

View Question Two wires of different materials have same length $$L$$ and same diameter $$d$$. The second wire is connected at the end

View Question When wavelength of light used in optical instruments A and B are 4500$$\mathop A\limits^o $$ and 6000$$\mathop A\limits^

View Question The light of wavelength $$\lambda$$ incident on the surface of metal having work function $$\phi$$ emits the electrons.

View Question A thin light weight rod of diamagnetic substance such as silver is suspended in uniform external magnetic field. It will

View Question A batsman hits a ball of mass 0.2 kg straight towards the bowler without changing its initial speed of $$6 \mathrm{~m} /

View Question There are four convex lenses $$L_1, L_2, L_3$$ and $$L_4$$ of focal length $$2,4,6$$ and 8 cm, respectively. Two of thes

View Question The ratio of radii of gyration of a ring to a disc (both circular) of same radii and mass, about a tangential axis perpe

View Question An open organ pipe and a closed organ pipe have the frequency of their first overtone identical. The ratio of length of

View Question A particle starting from rest moves along the circumference of a circle of radius $$r$$ with angular acceleration $$\alp

View Question Two spherical black bodies of radius $$r_1$$ and $$r_2$$ with surface temperature $$T_1$$ and $$T_2$$ respectively, radi

View Question Which of the following instruments is not a direct reading instrument?

View Question A block of mass $$m$$ is moving on rough horizontal surface with momentum $$p$$. The coefficient of friction between the

View Question A large open tank containing water has two holes to its wall. A square hole of side $a$ is made at a depth $$y$$ and a c

View Question Refractive index of the medium is $$\mu$$ and wavelength is $$\lambda$$, then which of the following proportionality rel

View Question $$A$$ transistor has a voltage gain $$A$$. If the amount $$\beta A$$ of its output is applied to the input of the transi

View Question A spherical rubber balloon carries a charge, uniformly distributed over the surface. As the balloon is blown up and incr

View Question A diatomic gas undergoes adiabatic change. Its pressure $$p$$ and temperature $$T$$ are related as $$p \propto T^x$$, wh

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 As we go from the equator of the earth to pole of the earth, the value of acceleration due to gravity

View Question Two wires $$A$$ and $$B$$ are stretched by the same load. The radius of wire $$A$$ is double the radius of wire $$B$$. T

View Question When tension $$T$$ is applied to a sonometer wire of length $$I$$, it vibrates with the fundamental frequency $$n$$. Kee

View Question At absolute zero temperature, pure silicon behaves as

View Question Five capacitors each of capacity $$C$$ are connected as shown in figure. If their resultant capacity is $$2 \mu \mathrm{

View Question The work done in blowing a soap bubble of radius $$R$$ is $$W$$. The work done in blowing a bubble of radius $$2 R$$ of

View Question The $$x, y$$ components of vector $$\mathbf{P}$$ have magnitudes 1 and 3 and $$x, y$$ components of resultant of $$\math

View Question The graph of kinetic energy against the frequency $$v$$ of incident light is as shown in the figure. The slope of the gr

View Question The length of solenoid is $$I$$ whose windings are made of material of density $$D$$ and resistivity $$\rho$$. The windi

View Question A step-up transformer has 300 turns of primary winding and 450 turns of secondary winding. A primary is connected to 150

View Question A simple pendulum of length $$I$$ has a bob of mass $$m$$. It executes SHM of small amplitude A. The maximum tension in

View Question A block of mass $$m$$ attached to one end of the vertical spring produces extension $$x$$. If the block is pulled and re

View Question The resultant of two vector $$\mathbf{A}$$ and $$\mathbf{B}$$ is $$\mathbf{C}$$. If the magnitude of $$\mathbf{B}$$ is d

View Question A ray of light travelling through glass of refractive index $$\sqrt{2}$$ is incident on glass-air boundary at an angle o

View Question A particle of mass $$m$$ is performing UCM along a circle of radius $$r$$. The relation between centripetal acceleration

View Question In conversion of moving coil galvanometer into an ammeter of required range, the resistance of ammeter, so formed is
[$$

View Question A square frame of each side $$L$$ is dipped in a soap solution and taken out. The force acting on the film formed is ($$

View Question