MHT CET 2021 21th September Morning Shift

Paper was held on
Tue, Sep 21, 2021 3:30 AM

## Chemistry

Find the value of $$-197^\circ$$C temperature in Kelvin.

View Question Identify the hydrolysis product of starch.

View Question Which carbon atom of ribose sugar is joined to nitrogen base to form nucleoside?

View Question Identify secondary allylic alcohol from following.

View Question What is the rate of appearance of $$\mathrm{Z}$$ in following reaction? $$3 \mathrm{x} \rightarrow 2 \mathrm{y}+\mathrm{

View Question Slope of the graph between rate ( $$\mathrm{Y}$$-axis) and $$[\mathrm{A}](\mathrm{X}$$-axis) for the first order reactio

View Question Identify the product 'P' of following reaction.
Ethanoyl chloride $$\buildrel {{H_2}O} \over
\longrightarrow $$ P

View Question Identify the reagent used in following conversion.

View Question Which of following statements is correct for physisorption?

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

View Question Which among the following statements is true for conductivity?

View Question Which among the following salts turns blue litmus red in it's aqueous solution?

View Question Which from following statements is true for tetrahydrofuran?

View Question Identify metal halide from following having highest ionic character? (M = metal atom)

View Question What is spin only magnetic moment of an element having one unpaired electron?

View Question What is the formal charge on carbon atom in CO$$_3^{2-}$$ ion ?

View Question What is the pH of 0.02 M NaOH solution?

View Question Which of the following compounds has lower boiling point?

View Question A gas is allowed to expand in an insulated container against a constant external pressure of 2.5 atm from $$2.5 \mathrm{

View Question Which of the following solutions shows positive deviation from Raoult's law?

View Question Which of the following conjugate bases is stabilized to greater extent due to solvation of ammonia and amines?

View Question What is vapour pressure of a solution containing 0.1 mol of non-volatile solute dissolved in 16.2 g of water ? (P$$_1^0=

View Question What is the percentage efficiency of packing in BCC structure?

View Question Identify amphoteric oxide from following.

View Question Identify homopolymer from following.

View Question The molar conductivity of $$0.4 \mathrm{~M} \mathrm{~KCl}$$ solution is $$2.5 \times 10^5 \Omega^{-1} \mathrm{~cm}^2 \ma

View Question Sunscreen lotions contains nanoparticles of

View Question Which from following reactions converts carbonyl group of aldehydes and ketones to methylene group on treatment with zin

View Question Which of the following reactions is used for the conversion of alkyl chloride to alkyl iodide?

View Question Which of the following amines acts as strongest base?

View Question Which among the following is NOT a neutral ligand?

View Question What is the volume (in dm$$^3$$) occupied by 75 g ethane at S.T.P. ?

View Question Identify the reactant, reagent and condition of Kolbe's reaction from following.

View Question The wavelength of a spectral line of caesium is $$460 \mathrm{~nm}$$. What is the frequency of spectral line?

View Question Select the catalyst used in hydrogenation of ethene.

View Question What is the number of $$-$$CH$$_2$$ - groups present in dodecane?

View Question Which among the following statements is NOT true?

View Question An element with simple cubic close structure has edge length of unit cell $$3.86 ~\mathop A\limits^o$$. What is the radi

View Question In a first order reaction, concentration of reactant is reduced to (1/8)th of concentration in 23.03 minutes. What is ha

View Question What is boiling point of a decimolal aqueous solution of glucose if molal elevation constant for water is 0.52$$^\circ$$

View Question What is the work done when a gas is compressed from 2.5 $$\times$$ 10$$^{-2}$$ m$$^3$$ to 1.3 $$\times$$ 10$$^{-2}$$ m$$

View Question Identify homoleptic complex from following :

View Question Dissociation constant of propionic acid is $$1.32 \times 10^{-5}$$. Calculate the degree of dissociation of acid in $$0.

View Question Identify the product obtained when phenol reacts with concentrated sulphuric acid at $$293 \mathrm{~K}$$ ?

View Question The reaction of propane with bromine in presence of UV light predominantly forms

View Question Oxidation state of Cr in potassium dichromate is

View Question What is the volume of unit cell of a metal (at. mass $$25 \mathrm{~g} \mathrm{~mol}^{-1}$$ ) having $$\mathrm{BCC}$$ str

View Question Which among following monomers is used to prepare PVC?

View Question What is the number of electrons passed through an electrolyte solution when 1 ampere current is passed for 16.1 minutes?

View Question Identify reactant (A) used in the following conversion.
Chlorobenzene $$+\mathrm{A} \underset{\mathrm{AlCl}_3}{\stackrel

View Question ## Mathematics

$$2 \sin \left(\theta+\frac{\pi}{3}\right)=\cos \left(\theta-\frac{\pi}{6}\right)$$, then $$\tan \theta=$$

View Question $$\int[1+2 \tan x(\tan x+\sec x)]^{\frac{1}{2}} d x=
$$

View Question The general solution of the differential equation $$\left(3 x y+y^2\right) d x+\left(x^2+x y\right) d y=0$$ is

View Question In a meeting $$60 \%$$ of the members favour and $$40 \%$$ oppose a certain proposal. A member is selected at random and

View Question The distance between parallel lines
$$\begin{aligned}
& \bar{r}=(2 \hat{i}-\hat{j}+\hat{k})+\lambda(2 \hat{i}+\hat{j}-2

View Question If $$e^{-y} \cdot y=x$$, then $$\frac{d y}{d x}$$ is

View Question If the two lines given by $$a x^2+2 h x y+b y^2=0$$ make inclinations $$\propto$$ and $$\beta$$, then $$\tan (\alpha+\be

View Question The vertices of triangle $$\mathrm{ABC}$$ are $$\mathrm{A} \equiv(3,0,0) ; \mathrm{B} \equiv(0,0,4) ; \mathrm{C} \equiv(

View Question If the lines $\frac{1-x}{3}=\frac{7 y-14}{2 \lambda}=\frac{z-3}{2}$ and $\frac{7-7 x}{3 \lambda}=\frac{y-5}{1}=\frac{6-z

View Question A lot of 100 bulbs contains 10 defective bulbs. Five bulbs selected at random from the lot and sent to retain store, the

View Question The differential equation of family of circles whose centres lie on $$\mathrm{X}$$-axis is

View Question If $$\frac{\cos (A+B)}{\cos (A-B)}=\frac{\sin (C+D)}{\sin (C-D)}$$, then $$\tan A \tan B \tan C=$$

View Question The area of the region bounded by the curve y$$^2$$ = 4x and the line y = x is

View Question The general solution of the differential equation $$y(1+\log x)\left(\frac{d x}{d y}\right)-x \log x=0$$ is

View Question Negation of the statement $$\forall x \in R, x^2+1=0$$ is

View Question The Cartesian equation of the plane passing through the point A(7, 8, 6) and parallel to the XY plane is

View Question If $$F(\propto)=\left[\begin{array}{ccc}\cos \propto & -\sin \propto & 0 \\ \sin \propto & \cos \propto & 0 \\ 0 & 0 & 1

View Question In a quadrilateral PQRS, M and N are mid-points of the sides PQ and RS respectively. If $$\overline {PS} + \overline {Q

View Question A coin is tossed and a die is thrown. The probability that the outcome will be head or a number greater than 4 or both,

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

View Question The equation of the plane passing through $$(-2,2,2)$$ and $$(2,-2,-2)$$ and perpendicular to the plane $$9 x-13 y-3 z=0

View Question The complex number with argument $$\frac{5 \pi^{\mathrm{c}}}{6}$$ at a distance of 2 units from the origin is

View Question If $$\bar{a}=3 \hat{i}-5 \hat{j}, \bar{b}=6 \hat{i}+3 \hat{j}$$ are two vectors and $$\bar{c}$$ is a vector such that $$

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

View Question The equation of the circle whose centre lies on the line $$x-4 y=1$$ and which passes through the points $$(3,7)$$ and $

View Question $$\int_\limits0^{\frac{\pi}{2}} \frac{\sin x-\cos x}{1-\sin x \cos x} d x=$$

View Question If $$A=\left[\begin{array}{ccc}1 & 0 & 2 \\ -1 & 1 & -2 \\ 0 & 2 & 1\end{array}\right], \operatorname{adj} A=\left[\begi

View Question The shaded figure given below is the solution set for the linear inequations. Choose the correct option.

View Question $$\begin{aligned}
& \text { If the function } \mathrm{f}(\mathrm{x})=1+\sin \frac{\pi}{2}, \quad-\infty
is continuous in

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

View Question $$\mathrm{A}^{-1}=\frac{-1}{2}\left[\begin{array}{cc}1 & -4 \\ -1 & 2\end{array}\right]$$, then $$2 A+I_2=\quad$$
where

View Question If $$y=\operatorname{cosec}^{-1}\left[\frac{\sqrt{x}+1}{\sqrt{x}-1}\right]+\cos ^{-1}\left[\frac{\sqrt{x}-1}{\sqrt{x}+1}

View Question If $$f(x)=|x-1|+|x-2|+|x-3|, \forall x \in[1,4]$$, then $$\int_\limits1^4 f(x) d x=$$

View Question The general solution of the differential equation $$\frac{d y}{d x}=\frac{x+2 y-1}{x+2 y+1}$$ is

View Question If $$\mathrm{X}$$ is a random variable with p.m.f. as follows.
$$\begin{aligned}
\mathrm{P}(\mathrm{X}=\mathrm{x}) & =\f

View Question A body at an unknown temperature is placed in a room which is held at a constant temperature of $$30^{\circ} \mathrm{F}$

View Question The equation of a line passing through $$(\mathrm{p} \cos \propto, \mathrm{p} \sin \propto)$$ ) and making an angle $$(9

View Question If $$|\bar{a}|=3,|\bar{b}|=4,|\bar{a}-\bar{b}|=5$$, then $$|\bar{a}+\bar{b}|=$$

View Question $$\tan ^{-1}\left(\frac{x-1}{x-2}\right)+\tan ^{-1}\left(\frac{x+1}{x+2}\right)=\frac{\pi}{4}$$, then the values of $$x$

View Question If f(x) = 3[x] + 5{x + 1}, where [x] is greatest integer function of x and {x} is fractional part function of x, then f(

View Question A stone is thrown into a quite lake and the waves formed move in circles. If the radius of a circular wave increases at

View Question The function $$f(x)=\cot ^{-1} x+x$$ is increasing in the interval.

View Question $$\lim _\limits{x \rightarrow 1} \frac{(2 x-3)(\sqrt{x}-1)}{2 x^2+x-3}=$$

View Question The derivative of $$(\log x)^x$$ with respect to $$\log x$$ is

View Question $$\int e^{\tan x}\left(\sec ^2 x+\sec ^3 x \sin x\right) d x=$$

View Question The product of the perpendicular distances from $$(2,-1)$$ to the pair of lines $$2 x^2-5 x y+2 y^2=0$$ is

View Question For two data sets each of size 5 , the variance are given to be 4 and 5 and the corresponding means are given to be 2 an

View Question The number of ways in which 8 different pearls can be arranged to form a necklace is

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

View Question The curves $$\frac{x^2}{a^2}+\frac{y^2}{4}=1$$ and $$y^3=16 x$$ intersect each other orthogonally, then $$a^2=$$

View Question ## Physics

The magnetic potential energy stored in a certain inductor is $$25 \mathrm{~mJ}$$, when the current in the inductor is $

View Question A pendulum is oscillating with frequency '$$n$$' on the surface of the earth. It is taken to a depth $$\frac{R}{2}$$ bel

View Question The molar specific heats of an ideal gas at constant pressure and volume are denoted by '$$\mathrm{C}_{\mathrm{p}}$$' an

View Question In a pure silicon, number of electrons and holes per unit volume are $$1.6 \times 10^{16} \mathrm{~m}^{-3}$$. If silicon

View Question A charge moves with velocity '$$V$$' through electric field $$(E)$$ as well as magnetic field (B). then the force acting

View Question Light of frequency two times the threshold frequency is incident on photosensitive material. If the incident frequency i

View Question For a transitor, $$\frac{1}{\alpha_{\mathrm{DC}}}-\frac{1}{\beta_{\mathrm{DC}}}$$ is equal to [ $$\alpha_{\mathrm{DC}}$$

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

View Question The resultant capacity between points A and B in the given circuit is

View Question When an electron in hydrogen atom jumps from third excited state to the ground state, the de-Broglie wavelength associat

View Question A long solenoid carrying a current produces a magnetic field B along its axis. If the number of turns per $$\mathrm{cm}$

View Question A ray of light is incident at an angle 'I' on one face of thin prism. The ray emerges normally from the other face. Refr

View Question The temperature difference bewtween two sides of metal plate, $$3 \mathrm{~cm}$$ thick is $$15^{\circ} \mathrm{C}$$. Hea

View Question The current in the following circuit is

View Question A particle of mass '$$m$$' collides with another stationary particle of mass '$$M$$'. A particle of mass '$$\mathrm{m}$$

View Question An air filled parallel plate capacitor has a capacity $$2 \mathrm{~pF}$$. The sepeartion of the plates is doubled and th

View Question A black body has maximum wavelength '$$\lambda_{\mathrm{m}}$$' at temperature $$2000 \mathrm{~K}$$. Its corresponding wa

View Question A monoatomic gas at pressure '$$\mathrm{P}$$' having volume '$$\mathrm{V}$$' expands isothermally to a volume $$2 \mathr

View Question A particle moves in a circular orbit of radius '$$r$$' under a central attractive force, $$F=-\frac{k}{r}$$, where $$\ma

View Question A black reactangular surface of area '$$a$$' emits energy '$$\mathrm{E}$$' per second at $$27^{\circ} \mathrm{C}$$. If l

View Question A closed organ pipe of length '$$\mathrm{L}_c$$' and an open organ pipe of length '$$\mathrm{L}_{\mathrm{o}}$$' contain

View Question The moment of inertia of a circular disc of radius $$2 \mathrm{~m}$$ and mass $$1 \mathrm{~kg}$$ about an axis XY passin

View Question A progressive wave of frequency 50 Hz is travelling with velocity 350 m/s through a medium. The change in phase at a giv

View Question Find the value of $$-$$197$$^\circ$$C temperature in Kelvin.

View Question The surface tension of most of the liquid decreases with rise in

View Question Which one of the following equations specifies an isobaric process? $$[Q=$$ heat supplied $$\Delta P, \Delta V$$ and $$\

View Question A simple harmonic progressive wave is given by $$Y=Y_0 \sin 2 \pi\left(n t-\frac{x}{\lambda}\right)$$. If the wave veloc

View Question In a meter bridge experiment, the balance point is obtained at length $$\ell_1 \mathrm{~cm}$$ from left end when resista

View Question In the graphical representation of e.m.f. '$$\mathrm{e}$$' and current '$$\mathrm{i}$$' versus '$$\omega \mathrm{t}$$' f

View Question The moment of inertia of a body about a given axis is $$1.2 \mathrm{~kg} / \mathrm{m}^3$$. Initially the body is at rest

View Question An alternating voltge is represented by $$\mathrm{V}=80 \sin (100 \pi \mathrm{t}) \cos (100 \pi \mathrm{t})$$ volt. The

View Question When the value of acceleration due to gravity '$$g$$' becomes $$\frac{g}{3}$$ above surface of height '$$h$$' then relat

View Question In biprism experiment, 21 fringes are observed in a given region using light of wavelength 4800 $$\mathop A\limits^o $$.

View Question A wire of length '$$L$$'; having resistance '$$R$$' falls from a height '$$\ell$$' in earth's horizontal magnetic field

View Question Two wires '$$\mathrm{A}$$' and '$$\mathrm{B}$$' of equal length are connected in left and right gap respectively of mete

View Question A glass cube of length $$24 \mathrm{~cm}$$ has a small air bubble trapped inside. When viewed normally from one face it

View Question What is susceptibility of a medium, if its relative permeability is 0.85?

View Question In fundamental mode, the time required for the sound wave to reach upto the closed end of pipe filled with air is $$t$$

View Question A particle of mass '$$m$$' is kept at rest at a height $$3 R$$ from the surface of earth, where '$$R$$' is radius of ear

View Question '$$\mathrm{F}$$' is the force between the two identical charged particles placed at a distance '$$\mathrm{Y}$$' from eac

View Question A coil of radius '$$\mathrm{r}$$' is placed on another coil (whose radius is '$$\mathrm{R}$$' and current through it is

View Question '$$\lambda_1$$' is the wavelength of series limit of Lyman series, '$$\lambda_2$$' is the wavelength of the first line l

View Question The velocity of a small ball of mass '$$M$$' and density '$$\mathrm{d}_1$$' when dropped in a container filled with glyc

View Question A sphere of mass 25 gram is placed on a vertical spring. It is compressed by $$0.2 \mathrm{~m}$$ using a force $$5 \math

View Question A bomb is dropped by an aeroplane flying horizontally with a velocity $$200 \mathrm{~km} / \mathrm{hr}$$ and at a height

View Question A series combination of resistor 'R' and capacitor 'C' is connected to an a.c. source of angular frequency '$$\omega$$'.

View Question A double slit experiment is immersed in water of refractive index 1.33. The slit separationis 1 $$\mathrm{mm}$$ and the

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

View Question On a photosensitive surface, if the intensity of incident radiation is increased, the stopping potential

View Question A particle executes linear S.H.M.
The mean position of oscillation is at the principal axis of a convex lens of focal le

View Question