MHT CET 2023 12th May Evening Shift

Paper was held on
Fri, May 12, 2023 9:30 AM

## Chemistry

Which of the following expressions represents molar conductivity of $$\mathrm{AB}_3$$ type electrolyte?

View Question What is the mass of $$\mathrm{KClO}_{3(\mathrm{~s})}$$ required to liberate 22. $$4 \mathrm{~dm}^3$$ oxygen at STP durin

View Question Identify product $$\mathrm{B}$$ in the following reaction.

View Question If $$0.15 \mathrm{~m}$$ aqueous solution of KCI freezes at $$-0.511^{\circ} \mathrm{C}$$, calculate van't Hoff factor of

View Question Which among the following is NOT the feature of reversible process?

View Question Which from following functional groups is at the lowest order to decide principal functional group in polyfunctional com

View Question Calculate the $$\mathrm{E}_{\text {cell }}$$ for $$\mathrm{Zn}_{(\mathrm{s})}\left|\mathrm{Zn}_{(0.1 \mathrm{M})}^{++}\r

View Question Which from following formulae is of galena?

View Question What is the solubility of $$\mathrm{AgCl}_{(\mathrm{s})}$$ if its solubility product is $$1.6 \times 10^{-10}$$ ?

View Question Which from following nanoparticle catalysts is used in photocatalysis?

View Question A gas absorbs $$150 \mathrm{~J}$$ heat and expands by $$300 \mathrm{~cm}^3$$ against a constant external pressure $$2 \t

View Question A first order reaction takes 23.03 minutes for $$20 \%$$ decomposition. Calculate its rate constant.

View Question Which among the following is dicarboxylic acid?

View Question Which from following elements belongs to group 17 of periodic table?

View Question What is the number of moles of donor atoms in n mole of NO$$^-_2$$ ?

View Question Calculate the density of an element having molar mass $$27 \mathrm{~g} \mathrm{~mol}^{-1}$$ that forms fcc unit cell. $$

View Question Which of the following is not a globular protein?

View Question Crotonyl alcohol is an example of

View Question What type of following solids the ice is

View Question A buffer solution is prepared by mixing $$0.01 \mathrm{~M}$$ weak acid and $$0.05 \mathrm{~M}$$ solution of a salt of we

View Question Which of the following gases is formed during oxidation of trichloromethane?

View Question What type of ligand the EDTA is?

View Question Which of the following compounds has difficulty in breaking of $$\mathrm{C}-\mathrm{X}$$ bond during nucleophilic substi

View Question What is the change in oxidation number of $$\mathrm{Cr}$$ in the following redox reaction?
$$3 \mathrm{H}_2 \mathrm{O}_{

View Question Equal masses of $$\mathrm{H}_{2(\mathrm{~g})}$$ and $$\mathrm{He}_{(\mathrm{g})}$$ are enclosed in a container at consta

View Question Identify the reaction intermediate of following reaction.

View Question What is the number of $$-$$OH groups present in one molecule of ribose?

View Question What is the position of copper in long form of periodic table?

View Question What is bond order of F$$_2$$ molecule?

View Question Which of the following compounds does NOT develop intermolecular hydrogen bonding?

View Question Which of the following is CORRECT IUPAC name of catechol?

View Question What is the solubility of gas in water at $$25^{\circ} \mathrm{C}$$ if partial pressure is 0.346 bar [Henry's law consta

View Question Which from following coloured light has the highest energy?

View Question Which among the following is haloalkyne?

View Question Which element from the following possesses half-filled d-orbitals either in expected or in observed electronic configura

View Question What is the radius of the fourth orbit of hydrogen atom?

View Question A conductivity cell containing $$5 \times 10^{-4} \mathrm{~M} \mathrm{~NaCl}$$ solution develops resistance $$14000 \mat

View Question Which among the following statements is NOT true for LDP?

View Question Equal masses in grams of $$\mathrm{H}_2, \mathrm{~N}_2, \mathrm{Cl}_2$$, and $$\mathrm{O}_2$$, are enclosed in cylinders

View Question Which of the following compounds is obtained by Rosenmund reduction of benzoyl chloride?

View Question The partial vapour pressure of any volatile component of a solution is equal to the vapour pressure of the pure componen

View Question Which from following polymers is grouped in the category of elastomers?

View Question Which among the following is NOT an example of salt of strong acid and weak base?

View Question Calculate the edge length of simple cubic unit cell if radius of an atom is $$167.3 \mathrm{~pm}$$.

View Question What is IUPAC name of following compound?

View Question Which element from following is used for cancer treatment?

View Question The rate law for the reaction $$\mathrm{A}+\mathrm{B} \rightarrow \mathrm{C}$$ at $$25^{\circ} \mathrm{C}$$ is given by

View Question Select the CORRECT increasing order of boiling points of alcohols, amines and carboxylic acids of comparable molar mass

View Question What is the number of moles of 'C' atoms present in $$\mathrm{n}$$ mole molecule of alkane if it exhibits three structur

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

View Question ## Mathematics

The equation of the line, passing through $$(1,2,3)$$ and parallel to planes $$x-y+2 z=5$$ and $$3 x+y+z=6$$, is

View Question $$\lim _\limits{x \rightarrow 0} \frac{x \cot 4 x}{\sin ^2 x \cdot \cot ^2(2 x)} \text { is equal to }$$

View Question $$\int \frac{1}{\cos ^3 x \sqrt{\sin 2 x}} d x=$$

View Question The shortest distance (in units) between the lines $$\frac{x+1}{3}=\frac{y+2}{1}=\frac{z+1}{2}$$ and $$\bar{r}=(2 \hat{i

View Question The maximum value of $$z=7 x+8 y$$ subject to the constraints $$x+y \leq 20, y \geq 5, x \leq 10, x \geq 0, y \geq 0$$ i

View Question The value of $$\int_\limits0^\pi\left|\sin x-\frac{2 x}{\pi}\right| \mathrm{d} x$$ is

View Question If $$\mathrm{f}(x)=\sin ^{-1}\left(\frac{2 \log x}{1+(\log x)^2}\right)$$, then $$\mathrm{f}^{\prime}(\mathrm{e})$$ is

View Question If the pair of lines given by $$(x \cos \alpha+y \sin \alpha)^2=\left(x^2+y^2\right) \sin ^2 \alpha$$ are perpendicular

View Question The solution of $$\mathrm{e}^{y-x} \frac{\mathrm{d} y}{\mathrm{~d} x}=\frac{y(\sin x+\cos x)}{(1+y \log y)}$$ is

View Question For $$x>1$$, if $$(2 x)^{2 y}=4 \mathrm{e}^{2 x-2 y}$$, then $$\left(1+\log _e 2 x\right)^2 \frac{d y}{d x}$$ is equal t

View Question A poster is to be printed on a rectangular sheet of paper of area $$18 \mathrm{~m}^2$$. The margins at the top and botto

View Question The equation of the normal to the curve $$3 x^2-y^2=8$$, which is parallel to the line $$x+3 y=10$$, is

View Question An irregular six faced die is thrown and the probability that, in 5 throws it will give 3 even numbers is twice the prob

View Question If the curves $$y^2=6 x$$ and $$9 x^2+b y^2=16$$ intersect each other at right angle, then value of '$$b$$' is

View Question The circles $$x^2+y^2+2 \mathrm{a} x+\mathrm{c}=0$$ and $$x^2+y^2+2 b y+c=0$$ touch each other externally, if

View Question Given $$\mathrm{f}(x)=\left\{\begin{array}{cc}\frac{1-\cos 4 x}{x^2} & , \text { if } x0\end{array}\right.$$
If $$\mathr

View Question $$A, B, C, D$$ are four points in a plane with position vectors $$\bar{a}, \bar{b}, \bar{c}, \bar{d}$$ respectively such

View Question Two adjacent of sides parallelogram $$\mathrm{ABCD}$$ are given by $$\overline{\mathrm{AB}}=2 \hat{\mathrm{i}}+10 \hat{\

View Question The value of $$x$$, for which $$\sin \left(\cot ^{-1}(x)\right)=\cos \left(\tan ^{-1}(1+x)\right)$$, is

View Question The unit vector which is orthogonal to the vector $$3 \hat{i}+2 \hat{j}+6 \hat{k}$$ and coplanar with the vectors $$2 \h

View Question A ladder, 5 meters long, rests against a vertical wall. If its top slides downwards at the rate of $$10 \mathrm{~cm} / \

View Question If $$\vec{a}, \vec{b}, \vec{c}$$ are three non-zero vectors, no two of them are collinear, $$\vec{a}+2 \vec{b}$$ is coll

View Question If $$|z-2+i| \leq 2$$, then the difference between the greatest and least value of $$|z|$$ is ________, $$(\mathrm{i}=\s

View Question A box contains 100 tickets numbered 1 to 100 . A ticket is drawn at random from the box. Then the probability, that numb

View Question If $$\int \frac{\sqrt{1-x^2}}{x^4} \mathrm{~d} x=\mathrm{A}(x)\left(\sqrt{1-x^2}\right)^{\mathrm{m}}+\mathrm{c}$$ for a

View Question If $$\mathrm{k}_{\mathrm{i}}$$ are possible values of $$\mathrm{k}$$ for which lines $$\mathrm{k} x+2 y+2=0,2 x+\mathrm{

View Question A tank with a rectangular base and rectangular sides, open at the top is to be constructed so that its depth is 4 meter

View Question The length (in units) of the projection of the line segment, joining the points $$(5,-1,4)$$ and $$(4,-1,3)$$, on the pl

View Question If the volume of tetrahedron, whose vertices are $$\mathrm{A}(1,2,3), \mathrm{B}(-3,-1,1), \mathrm{C}(2,1,3)$$ and $$D(-

View Question Let
Statement 1 : If a quadrilateral is a square, then all of its sides are equal.
Statement 2: All the sides of a quadr

View Question The number of words that can be formed by using the letters of the word CALCULATE such that each word starts and ends wi

View Question The given following circuit is equivalent to

View Question Water flows from the base of rectangular tank, of depth 16 meters. The rate of flow of the water is proportional to the

View Question The area (in sq. units) of the smaller part of the circle $$x^2+y^2=\mathrm{a}^2$$ cut off by the line $$x=\frac{\mathrm

View Question $$\cos ^2 48^{\circ}-\sin ^2 12^{\circ}=$$
_________, if $$\sin 18^{\circ}=\frac{\sqrt{5}-1}{4}$$

View Question The discrete random variable $$\mathrm{X}$$ can take all possible integer values from 1 to $$\mathrm{k}$$, each with a p

View Question If $$\tan y=\frac{x \sin \alpha}{1-x \cos \alpha}$$ and $$\frac{\mathrm{d} y}{\mathrm{~d} x}=\frac{\mathrm{m}}{x^2+2 \ma

View Question The lengths of sides of a triangle are three consecutive natural numbers and its largest angle is twice the smallest one

View Question For 20 observations of variable $x$, if $$\sum\left(x_i-2\right)=20$$ and $$\sum\left(x_i-2\right)^2=100$$, then the sta

View Question Equation of plane containing the line $$\frac{x}{2}=\frac{y}{3}=\frac{z}{4}$$ and perpendicular to the plane containing

View Question If $$(2+\sin x) \frac{\mathrm{d} y}{\mathrm{~d} x}+(y+1) \cos x=0$$ and $$y(0)=1$$, then $$y\left(\frac{\pi}{2}\right)$$

View Question If $$A=\left[\begin{array}{cc}2 a & -3 b \\ 3 & 2\end{array}\right]$$ and $$A \cdot \operatorname{adj} A=A A^T$$, then $

View Question $$\int\left(\frac{\tan \left(\frac{1}{x}\right)}{x}\right)^2 d x=$$

View Question $$\int \frac{1}{(x+2)(1+x)^2} d x$$ has the value

View Question If two angles of $$\triangle \mathrm{ABC}$$ are $$\frac{\pi}{4}$$ and $$\frac{\pi}{3}$$, then the ratio of the smallest

View Question In $$\triangle \mathrm{ABC}, \mathrm{m} \angle \mathrm{B}=\frac{\pi}{3}$$ and $$\mathrm{m} \angle \mathrm{C}=\frac{\pi}{

View Question If $$\tan ^{-1}\left(\frac{1-x}{1+x}\right)=\frac{1}{2} \tan ^{-1} x$$, then $$x$$ is

View Question If
then $$|\overrightarrow{\mathrm{u}} \times \overrightarrow{\mathrm{v}}| \text { is }$$

View Question Three fair coins with faces numbered 1 and 0 are tossed simultaneously. Then variance (X) of the probability distributio

View Question If $$\mathrm{f}(x)=x^2+1$$ and $$\mathrm{g}(x)=\frac{1}{x}$$, then the value of $$\mathrm{f}(\mathrm{g}(\mathrm{g}(\math

View Question ## Physics

A glass prism deviates the red and violet rays through $$9^{\circ}$$ and $$11^{\circ}$$ respectively. A second prism of

View Question Eight small drops of mercury each of radius '$$r$$', coalesce to form a large single drop. The ratio of total surface en

View Question In the following digital logic circuit, the output Y will be '1' for inputs

View Question Two different radioactive elements with half lives '$$\mathrm{T}_1$$' and '$$\mathrm{T}_2$$' have undecayed atoms '$$\ma

View Question The equation of wave motion is $$Y=5 \sin (10 \pi t -0.02 \pi x+\pi / 3)$$ where $$x$$ is in metre and $$t$$ in second.

View Question A potentiometer wire of length $$4 \mathrm{~m}$$ and resistance $$5 ~\Omega$$ is connected in series with a resistance o

View Question Select the correct statement from the following.

View Question End correction at open end for air column in a pipe of length '$$l$$' is '$$e$$'. For its second overtone of an open pip

View Question In a stationary lift, time period of a simple pendulum is '$$\mathrm{T}$$'. The lift starts accelerating downwards with

View Question A body is projected vertically upwards from earth's surface of radius '$$R$$' with velocity equal to $$\frac{1^{\text {r

View Question Which one of the following statements is WRONG regarding LED?

View Question A thin wire of length '$$L$$' and uniform linear mass density '$$m$$' is bent into a circular coil. The moment of inerti

View Question A black body radiates maximum energy at wavelength '$$\lambda$$' and its emissive power is '$$E$$'. Now due to a change

View Question If the charge on the capacitor is increased by 3 coulombs, the energy stored in it increases by $$44 \%$$. The original

View Question In which figure, the junction diode is forward biased?

View Question A particle starts from mean position and performs S.H.M. with period 4 second. At what time its kinetic energy is $$50 \

View Question For polyatomic gases, the ratio of molar specific heat at constant pressure to constant volume is ( $$\mathrm{f}=$$ degr

View Question A particle is moving in a circle with uniform speed '$$v$$'. In moving from a point to another diametrically opposite po

View Question Select the WRONG statement from the following. For an isothermal process

View Question Two concentric circular coils of 10 turns each are situated in the same plane. Their radii are $$20 \mathrm{~cm}$$ and $

View Question Graph shows the variation of de-Broglie wavelength $$(\lambda)$$ versus $$\frac{1}{\sqrt{V}}$$ where '$$V$$' is the acce

View Question SI units of self inductance is

View Question When an inductor '$$L$$' and a resistor '$$R$$' in series are connected across a $$15 \mathrm{~V}, 50 \mathrm{~Hz}$$ a.c

View Question When an electron is accelerated through a potential '$$V$$', the de-Broglie wavelength associated with it is '$$4 \lambd

View Question Compare the rate of loss of heat from a metal sphere at $$627^{\circ} \mathrm{C}$$ with the rate of loss of heat from th

View Question In Balmer series, wavelength of the $$2^{\text {nd }}$$ line is '$$\lambda_1$$' and for Paschen series, wavelength of th

View Question A coil of '$$n$$' turns and radius '$$R$$' carries a current '$$I$$'. It is unwound and rewound again to make another co

View Question An ink mark is made on a piece of paper on which a glass slab of thickness '$$t$$' is placed. The ink mark appears to be

View Question A spherical metal ball of radius '$$r$$' falls through viscous liquid with velocity '$$\mathrm{V}$$'. Another metal ball

View Question A body of mass '$$\mathrm{m}$$' attached at the end of a string is just completing the loop in a vertical circle. The ap

View Question Select the WRONG statement from the following. In a streamline flow

View Question Two point charges '$$q 1$$' and '$$q 2$$' are separated by a distance '$$d$$'. What is the increase in potential energy

View Question The ratio of intensities of two points on a screen in Young's double slit experiment when waves from the two slits have

View Question A simple pendulum is oscillating with frequency '$$F$$' on the surface of the earth. It is taken to a depth $$\frac{\mat

View Question An a.c. source of $$15 \mathrm{~V}, 50 \mathrm{~Hz}$$ is connected across an inductor (L) and resistance (R) in series R

View Question A ball is projected vertically upwards from ground. It reaches a height '$$h$$' in time $$t_1$$, continues its motion an

View Question The volume of a metal block increases by $$0.225 \%$$ when its temperature is increased by $$30^{\circ} \mathrm{C}$$. He

View Question A tuning fork gives 3 beats with $$50 \mathrm{~cm}$$ length of sonometer wire. If the length of the wire is shortened by

View Question The depth at which acceleration due to gravity becomes $$\frac{\mathrm{g}}{2 \mathrm{n}}$$ is $$(\mathrm{R}=$$ radius of

View Question Two resistance $$\mathrm{X}$$ and $$\mathrm{Y}$$ are connected in the two gaps of a meterbridge and the null points is o

View Question Three point charges $$\mathrm{+Q,+2q}$$ and $$+\mathrm{q}$$ are placed at the vertices of a right angled isosceles trian

View Question Resistor of $$2\Omega$$, inductor of $$100 \mu \mathrm{H}$$ and capacitor of $$400 \mathrm{pF}$$ are connected in series

View Question An electron makes a full rotation in a circle of radius $$0.8 \mathrm{~m}$$ in one second. The magnetic field at the cen

View Question In Young's double slit experiment when a glass plate of refractive index 1.44 is introduced in the path of one of the in

View Question A monoatomic ideal gas initially at temperature '$$\mathrm{T}_1$$' is enclosed in a cylinder fitted with massless, frict

View Question A tuning fork of frequency $$220 \mathrm{~Hz}$$ produces sound waves of wavelength $$1.5 \mathrm{~m}$$ in air at N.T.P.

View Question An air craft of wing span $$40 \mathrm{~m}$$ files horizontally in earth's magnetic field $$5 \times 10^{-5} \mathrm{~T}

View Question In $$\mathrm{P}^{\text {th }}$$ second, a particle describes angular displacement of '$$\beta$$' rad. If it starts from

View Question Inductance per unit length near the middle of a long solenoid is $$\left(\mu_0=\right.$$ permeability of free space, $$\

View Question One of the slits in Young's double slit experiment is covered with a transparent sheet of thickness $$2.9 \times 10^{-3}

View Question