MHT CET 2021 21th September Evening Shift

Paper was held on
Tue, Sep 21, 2021 8:30 AM

## Chemistry

When 1 mole of gas is heated at constant volume, the temperature rises form $$273 \mathrm{~K}$$ to $$546 \mathrm{~K}$$.

View Question Oxidation state of iodine in I$$_3^-$$ is

View Question What is the total number of atoms in BCC crystal lattice having $$1.8 \times 10^{20}$$ unit cells?

View Question Identify the product B in the following sequence of reactions?

View Question What is the volume occupied by 16 g methane gas at STP?

View Question The $$\left[\mathrm{OH}^{-}\right]$$ in a solution is $$1 \times 10^{-12} \mathrm{~mol} \mathrm{~dm}{ }^{-3}$$. What is

View Question Which among the following statements is true for Galvanic cell?

View Question Identify the product $$(\mathrm{X})$$ formed in the following reaction.
$$\mathrm{C}_6 \mathrm{H}_5 \mathrm{OH}+\mathrm{

View Question Which of the following is NOT true for alkaline earth metals?

View Question Which of the following is NOT formed when a mixture of methyl bromide and n-propyl bromide is treated with sodium metal

View Question Which element among the following is ferromagnetic?

View Question Which of following enzymes is useful in conversion of glucose to fructose?

View Question Which of the following reagents is used in the reaction shown below?
Benzoyl chloride $$\stackrel{?}{\longrightarrow}$$

View Question What is vapour pressure of a solution when $$2 \mathrm{~mol}$$ of a non-volatile solute are dissolved in $$20 \mathrm{~m

View Question Which among following amines has lowest $$\mathrm{pK}_{\mathrm{b}}$$ values?

View Question Which of following elements forms crosslinks in vulcanization of SBR rubber?

View Question What will be the concentration of solution of electrolyte if it's molar conductivity and conductivity are respectively 2

View Question Identify cationic complex from following.

View Question Which property from following is NOT exhibited by interstitial compounds?

View Question Which among the following salt solution in water shows pH greater than 7?

View Question What is the percentage of unoccupied volume in BCC structure?

View Question What type of isomers are the ethoxy ethane and methoxy propane?

View Question What is the value of $$\mathrm{\Delta H-\Delta U}$$ for the formation of 2 moles of ammonia from $$\mathrm{H_{2(g)}}$$ a

View Question What is the density of an element (At mass 100 g mol$$^{-1}$$) having BCC structure with edge length 400 pm?

View Question In which of the following salts, the solubility increases appreciably with increase in temperature?

View Question What is effective atomic number of cobalt in [Co(NH$$_3$$)$$_6$$]$$^{3+}$$ if Co(Z = 27) ?

View Question Which among the following is NOT an example of one-dimensional nanostructure?

View Question For a first order reaction, intercept of the graph between $$\mathrm{\log\frac{[A]_o}{[A]_t}}$$(Y-axis) and conc. (X-axi

View Question The pH of 0.005 M KOH is 9.95. Calculate the [OH$$^-$$] ?

View Question Which of the following reactions is a Wurtz - Fittig reaction?

View Question Which among the following noble gases reacts with fluorine to give crystalline fluorides?

View Question Identify the name of following reaction.
Toluene + chromyl chloride $$\stackrel{\mathrm{CS}_2}{\longrightarrow}$$ comple

View Question What is the half-life of a first order reaction if time required to decrease concentration of reactant from 1.0 M to 0.2

View Question Which among the following is obtained as major product $$\mathrm{x}$$ in the reaction stated below?
Anisole $$\mathrm{\m

View Question Which among the following statements about ozone depletion is NOT true?

View Question Which free radical initiator is used for polymerization of tetrafluoro ethylene?

View Question Chlorobenzene on heating with concentrated HNO$$_3$$ in presence of concentrated H$$_2$$SO$$_4$$ gives

View Question What is the boiling point of 0.5 molal aqueous solution of sucrose if 0.1 molal aqueous solution of glucose boils at 100

View Question Identify the product formed when tertiary butyl bromide reacts with alcoholic NH$$_3$$ solution?

View Question Which among the following gases is adsorbed to greater extent at similar conditions of temperature and pressure if the a

View Question What is the rate of disappearance of B in following reaction? $$2 \mathrm{A}+\mathrm{B} \rightarrow 3 \mathrm{C}$$, if r

View Question Which reagent oxidizes glucose to saccharic acid?

View Question Two moles of an ideal gas are expanded isothermally from $$15 \mathrm{dm}^3$$ to $$20 \mathrm{dm}^3$$. If the amount of

View Question Which from following statements is NOT correct for heterolysis?

View Question Which among the following molecules exhibits strong London forces?

View Question What is the number of moles of electrons passed when current of 5 ampere is passed through a solution of FeCl$$_3$$ for

View Question What is the formal charge of oxygen atom in carbon monoxide?

View Question Which isomer of C$$_6$$H$$_{14}$$ has highest boiling point?

View Question What is the wavelength for a wave having frequency 50 Hz?

View Question Identify the product formed when benzoyl chloride is reduced by hydrogen using palladium catalyst poisoned with barium s

View Question ## Mathematics

If $$\mathrm{(m+3 n)(3 m+n)=4 h^2}$$, then the acute angle between the lines represented by $$\mathrm{m x^2+2 h x y+n y^

View Question $$\text{I} : y^{\prime}=\frac{y+x}{x} ; \quad \text { II }: y^{\prime}=\frac{x^2+y}{x^3} ; \quad \text { III }: y^{\prim

View Question The differential equation of the family of circles touching $$y$$-axis at the origin is

View Question The mean of five observations is 4 and their variance is 5.2. If three of these observations are 1, 2 and 6, then the ot

View Question If $$\overline{\mathrm{a}}=\hat{\mathrm{i}}+2 \hat{\mathrm{j}}-3 \hat{\mathrm{k}}, \overline{\mathrm{b}}=3 \hat{\mathrm{

View Question If $$\mathrm{p}$$ is the length of the perpendicular from origin to the line whose intercepts on the axes are a and $$b$

View Question The abscissa of the points, where the tangent to the curve $$y=x^3-3 x^2-9 x+5$$ is parallel to $$X$$ axis are

View Question $$\int \frac{1}{x^{\frac{1}{2}}+x^{\frac{1}{3}}} d x=$$

View Question If $$A=\left[\begin{array}{ccc}\cos \theta & -\sin \theta & 0 \\ \sin \theta & \cos \theta & 0 \\ 0 & 0 & 1\end{array}\r

View Question $$\int[\sin |\log x|+\cos |\log x|] d x=$$

View Question $$\int\limits_5^{10} \frac{d x}{(x-1)(x-2)}=$$

View Question The direction cosines $$\ell, \mathrm{m}, \mathrm{n}$$ of the line $$\frac{\mathrm{x}+2}{2}=\frac{2 \mathrm{y}-5}{3} ; \

View Question an urn contains 9 balls of which 3 are red, 4 are blue and 2 are green. Three balls are drawn at random from the urn. Th

View Question If $${\pi \over 2}

View Question Equation of the plane passing through the point (2, 0, 5) and parallel to the vectors $$\widehat i - \widehat j + \wideh

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

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 The objective function $$z=4 x+5 y$$ subjective to $$2 x+y \geq 7 ; 2 x+3 y \leq 15 ; y \leq 3, x \geq 0 ; y \geq 0$$ ha

View Question The co-ordinates of the point $$\mathrm{P} \equiv(1,2,3)$$ and $$\mathrm{O} \equiv(0,0,0)$$, then the direction cosines

View Question $$\int\limits_{{{ - \pi } \over 2}}^{{\pi \over 2}} {{{\cos x} \over {1 + {e^x}}}dx = } $$

View Question The equation of the plane containing the line $$\frac{x+1}{-3}=\frac{y-3}{2}=\frac{z+2}{1}$$ and the point $$(0,7,-7)$$

View Question If the lines $$x^2-4xy+y^2=0$$ make angles $$\alpha$$ and $$\beta$$ with positive direction X-axis, then $$\cot^2\alpha+

View Question It is observed that $$25 \%$$ of the cases related to child labour reported to the police station are solved. If 6 new c

View Question For X ~ B(n, p), if p = 0.6, E(X) = 6, then Var(X) =

View Question The equation of a line passing through $$(3,-1,2)$$ and perpendicular to the lines $$\bar{r}=(\hat{i}+\hat{j}-\hat{k})+\

View Question $$\begin{aligned}
& \text { } f(x)=\frac{\sqrt{1+p x}-\sqrt{1-p x}}{x} \text {, if } 1 \leq x
is continuous in the inter

View Question The function $$f(x)=\log (1+x)-\frac{2 x}{2+x}$$ is increasing on

View Question If $$A=\left[\begin{array}{lll}0 & 1 & 2 \\ 1 & 2 & 3 \\ 3 & 1 & 1\end{array}\right]$$, then $$A^{-1}=$$

View Question The equation of circle with centre at $$(2,-3)$$ and the circumference $$10 \pi$$ units is

View Question If y = 2 sin x + 3 cos x and y + A$$\mathrm{\frac{d^2y}{dx^2}}$$ = B, then the values of A, B are respectively

View Question The number of solutions of cos2$$\theta$$ = sin$$\theta$$ in (0, 2$$\pi$$) are

View Question If $$y=\tan ^{-1}\left[\frac{1}{1+x+x^2}\right]+\tan ^{-1}\left[\frac{1}{x^2+3 x+3}\right], x>0$$, then $$\frac{d y}{d x

View Question If $$z(2-i)=(3+i)$$, then $$z^{38}=$$, ( where $$z=x+i y$$)

View Question The area bounded by the parabola $$y^2=x$$, the straight line $$y=4$$ and $$Y$$ axis is

View Question If $$\sin ^{-1}\left(\frac{3}{5}\right)+\cos ^{-1}\left(\frac{12}{13}\right)=\sin ^{-1} \alpha$$, then $$\alpha=$$

View Question If $$\lim _\limits{x \rightarrow 5} \frac{x^k-5^k}{x-5}=500$$, then the value of $$k$$, where $$k \in N$$ is

View Question The logical statement (p $$\to$$ q) $$\wedge$$ (q $$\to$$ ~p) is equivalent to

View Question For a set of five true or false questions, no student has written the all correct answers and no two students have given

View Question The general solution of the differential equation. $$\left(\frac{y}{x}\right) \cos \left(\frac{y}{x}\right) d x-\left[\l

View Question If the half life period of a substance is 5 years, then the total amount of the substance left after 15 years, when init

View Question A bakerman sells 5 types of cakes. Profit due to sale of each type of cake is respectively ₹ 2.5, ₹ 3 , ₹ 1.5 and ₹ 1. T

View Question If $$m$$ is order and $$n$$ is degree of the differential equation $$\left(\frac{d^2 y}{d x^2}\right)^5+4 \frac{\left(\f

View Question If $$\theta+\phi=\alpha$$ and $$\tan \theta=k \tan \phi($$ where $$K>1)$$, then the value of $$\sin (\theta-\phi)$$ is

View Question With usual notations, perimeter of a triangle $$A B C$$ is 6 times the arithmetic mean of sine of its angles. If $$\math

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

View Question If $$|\bar{a} \times \bar{b}|^2+(\bar{a} \cdot \bar{b})^2=144$$ and $$|\bar{a}|=4$$, then $$|\bar{b}|=$$

View Question Let A = {10, 11, 12, 14, 26} and let f : A $$\to$$ N be such that f(a) = highest prime factor of a, where a $$\in$$ A, t

View Question If $$\int {{{5\tan x} \over {\tan x - 2}}dx = x + a\log |\sin x - 2\cos x| + c} $$, then a = (Where c is constant of int

View Question The area of the parallelogram with vertices A(1, 2, 3), B(1, 3, a), C(3, 8, 6) and D(3, 7, 3) is $$\sqrt{265}$$ sq. unit

View Question If $$y = {\tan ^{ - 1}}\left\{ {{{a\cos x - b\sin x} \over {b\cos x + a\sin x}}} \right\}$$, then $${{dy} \over {dx}}$$

View Question ## Physics

Under isothermal conditions, two soap bubbles of radii '$$r_1$$' and '$$r_2$$' combine to form a single soap bubble of

View Question Two identical parallel plate air capacitors are connected in series to a battery of emf '$$\mathrm{V}$$'. If one of the

View Question In LCR series resonant circuit, at resonance, voltage across 'L' and 'C' will cancel each other because they are

View Question Two coherent sources of wavelength '$$\lambda$$' produce steady interference pattern. The path difference corresponding

View Question In a capillary tube having area of cross-section A, water rises to a height 'h'. If cross-sectional area is reduced to $

View Question Water rises upto a height $$10 \mathrm{~cm}$$ in a capillary tube. It will rise to a height which is much more than $$10

View Question A moving coil galvanometer is converted into an ammeter, reading upto $$0.04 \mathrm{~A}$$ by connecting a shunt of resi

View Question The inductive reactance of a coil is R$$\Omega$$. If the inductance of a coil is doubled and frequency of a.c. supply is

View Question For a body of mass '$$m$$', the acceleration due to gravity at a distance '$$R$$' from the surface of the earth is $$\le

View Question What is the ratio of the velocity of sound in hydrogen $$\left(\gamma=\frac{7}{5}\right)$$ to that in helium $$\left(\ga

View Question A particle performs rotational motion with an angular momentum 'L'. If frequency of rotation is doubled and its kinetic

View Question Equation of two simple harmonic waves are given by $${Y_1} = 2\sin 8\pi \left( {{t \over {0.2}} - {x \over 2}} \right)m$

View Question A current through 1 $$\Omega$$ resistance in the following circuit is

View Question Three bodies P, Q and R have masses 'm' kg, '2m' kg and '3m' kg respectively. If all the bodies have equal kinetic energ

View Question Equal volumes of two gases are kept in different containers having densities in the ratio 1 : 16. They exert equal press

View Question In Young's experiment, fringes are obtained on a screen placed at a distance $$75 \mathrm{~cm}$$ from the slits. When th

View Question Combination of NAND gates is shown in the figure. It is equivalent to

View Question A molecule of mass 'm' moving with velocity 'v' makes 5 elastic collisions with a wall of container per second. The chan

View Question In thermodynamics, for an isochoric process, which one of the following statement is INCORRECT?

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

View Question When a piece of polythene is rubbed with wool, a negative charge of $$4 \times 10^{-7} \mathrm{C}$$ is developed on the

View Question Ratio centripetal acceleration for an electron revolving in 3rd and 5th Bohr orbit of hydrogen atom is

View Question In an ideal junction diode, the current flowing through PQ is

View Question LED is manufactured using zinc selenide then it emits.

View Question If '$$\mathrm{E}$$' is the kinetic energy per mole of an ideal gas and '$$\mathrm{T}$$' is the absolute temperature, the

View Question A child is sitting on a swing which performs S.H.M. It has minimum and maximum heights from ground $$0.75 \mathrm{~cm}$$

View Question The north pole of a long horizontal bar magnet is being brought towards closed circuit consisting of a coil. The directi

View Question The wave number of the last line of the Balmer series in the hydrogen spectrum will be $$\left(\right.$$ Rydberg's cons

View Question The refractive index of glass is 1.5 and that of water is 1.33 . The critical angle for a ray of light going from glass

View Question A, B and C are three parallel conductors of equal lengths carrying currents $$\mathrm{I}, \mathrm{I}$$ and $$2 \mathrm{I

View Question Three pure inductors each of inductance 6H are connected as shown in the figure. Their equivalent inductance between the

View Question A body at rest falls through a height 'h' with velocity 'V'. If it has to fall down further for its velocity to become t

View Question A convex lens is dipped in a liquid whose refractive index is equal to refractive index of lens material. Then its focal

View Question Photoemission from metal surface takes place for frequencies '$$v_1$$' and '$$v_2$$' of incident rays $$\left(v_1>v_2\ri

View Question The angle of banking '$$\theta$$' for a meter gauge railway line is given by $$\theta=\tan ^{-1}\left(\frac{1}{20}\right

View Question
Three rings each of mass 'M' and radius 'R' are arranged as shown in the figure. The moment of inertia of system about

View Question The instantaneous value of an alternating current is given by $$\mathrm{i}=50 \sin (100 \pi \mathrm{t})$$. It will achie

View Question A proton and alpha particle are accelerated through the same potential difference. The ratio of the de-Broglie wavelengt

View Question Two rods of same length and material are joined end to end. They transfer heat in 8 second. When they are joined in para

View Question A pendulum clock is running fast. To correct its time, we should

View Question A pipe closed at one end has length $$0.8 \mathrm{~m}$$. At its open end $$0.5 \mathrm{~m}$$ long uniform string is vibr

View Question Two coherent sources 'P' and 'Q' produce interference at point 'A' on the screen, where there is a dark band which is fo

View Question The equation of simple harmonic wave produced in the string under tension $$0.4 \mathrm{~N}$$ is given by $$\mathrm{y=4

View Question A condenser of capacity '$$\mathrm{C}_1$$' is charged to potential '$$\mathrm{V}_1$$' and then disconnected. Uncharged c

View Question In a step up transformer, which one of the following statements is correct?

View Question Magnetic moment of revolving electron of charge (e) and mass (m) in terms of angular momentum (L) of electron is :

View Question A particle is performing S.H.M. with maximum velocity '$$v$$'. If the amplitude is tripled and periodic time is doubled

View Question A big water drop is divided into 8 equal droplets. $$\Delta \mathrm{P}_{\mathrm{s}}$$ and $$\Delta \mathrm{P}_{\mathrm{B

View Question A hollow metal sphere has a radius 'r'. The potential difference between a point on its surface and at a point at a dist

View Question The magnetic flux near the axis and inside the air core solenoid of length $$60 \mathrm{~cm}$$ carrying current '$$\math

View Question