MHT CET 2024 2nd May Morning Shift
Paper was held on
Thu, May 2, 2024 3:30 AM
Chemistry
Which element from following is used in photoelectric cells?
View Question What is the total number of particles present in bcc unit cell?
View Question Which among the following polymers is obtained by ring opening polymerization process?
View Question Identify an example of solution that consists of solid as solute and liquid as solvent.
View Question Which of the following compounds is obtained when cyclohexene is oxidized using $\mathrm{KMnO}_4$ in dilute $\mathrm{H}_
View Question Which from following expressions is used to calculate $\mathrm{E}_{\text {cell }}$ for the following cell at $25^{\circ}
View Question Which of the following compounds is obtained by using Swartz reaction?
View Question What is the bond order in CO molecule?
View Question Which of the following is an example of heterogenous catalysis?
View Question Identify the monomers used for preparation of Buna-S.
View Question Which among the following is NOT an intensive property?
View Question How many moles of iodomethane are consumed in the following conversion?
$$\mathrm{CH}_3 \mathrm{NH}_2 \xrightarrow[\Delt
View Question Calculate the time required for reactant to decrease the concentration from $100 \%$ to $20 \%$, if rate constant of fir
View Question Identify the number of donor atoms in EDTA molecule that form coordinate bond with central metal atom or ion in a comple
View Question Which from following gases of same mass exerts highest pressure at constant temperature?
View Question Calculate the volume of unit cell of an element having molar mass $27 \mathrm{~g} \mathrm{~mol}^{-1}$ that forms fcc uni
View Question What is the ratio of concentration of salt to concentration of weak acid in buffer solution to maintain its pH value $7.
View Question Which of the following isomers has highest boiling point?
View Question Identify the product obtained when methyl bromide reacts with sodium tert-butoxide.
View Question Which from following is NOT true about electrolysis of molten NaCl ?
View Question Which element from following exhibits lowest number of different oxidation states?
View Question Which functional group from following is considered as principal functional group if polyfunctional compound is to be na
View Question Calculate the edge length of fcc unit cell if radius of metal atom is 139 pm .
View Question Which from following techniques is used for preliminary confirmation of nanoparticles?
View Question What is the value of pOH if a buffer solution is prepared by mixing equal volumes of $0.4 \mathrm{~M} \mathrm{~NH}_4 \ma
View Question In a process 605 J heat is absorbed by the system and 380 J work is done by the system on surrounding. What is the value
View Question Identify false statement from following.
View Question The resistance of decimolar solution of NaCl is 30 ohms. Calculate the conductivity of solution if the cell constant is
View Question What is the total number of unpaired electrons in an element placed at period-4 and group-12 either in excited or at gro
View Question Which of the following is NOT obtained when a mixture of bromoethane and 1-bromopropane is treated with sodium metal in
View Question What is the oxidation number of underlined species in $\mathrm{PF}_6^{-}$and $\mathrm{V}_2 \mathrm{O}_7^{-4}$ ions respe
View Question Calculate the molality of solution of non volatile solute having depression in freezing point 0.93 K and cryoscopic cons
View Question Which of the following salt solutions turns red litmus blue?
View Question Which from following compounds is obtained when acyl chloride is hydrolysed with water?
View Question What is the rate of formation of $\mathrm{O}_2$ for the reaction stated below?
$$\begin{aligned}
& 2 \mathrm{~N}_2 \math
View Question Which from following complexes contains only neutral ligands in it?
View Question What is the number of moles of carbon atoms present in n mole molecules of an alkane if it exhibits five structural isom
View Question Identify the product ' B ' in the following sequence of reactions.
$$\mathrm{CH}_3 \mathrm{MgBr} \xrightarrow{\mathrm{Cd
View Question Rate law for the reaction $2 \mathrm{NO}+\mathrm{Cl}_2 \rightarrow 2 \mathrm{NOCl}$ is rate $=\mathrm{k}[\mathrm{NO}]^2\
View Question Which among the following is haloarene?
View Question What is energy associated with fourth orbit of hydrogen atom?
$$\left(\mathrm{R}_{\mathrm{H}}=2.18 \times 10^{-18} \math
View Question Identify glycosidic linkages for formation of chain and branches respectively in amylopectin.
View Question Which from following species does not have number of electrons similar to other three species?
View Question What is the name of tert-butyl alcohol according to carbinol system?
View Question Identify the element having outer electronic configuration $\mathrm{ns}^2 \mathrm{np}^5$.
View Question What is the mass in kg of 5 mole of acetic acid $\left(\mathrm{mol}\right.$. mass $\left.=60 \mathrm{~g} \mathrm{~mol}^{
View Question A solution of non volatile solute is obtained by dissolving 2 g in 50 g benzene. Calculate the vapour pressure of soluti
View Question A gas absorbs certain amount of heat and expands by $200 \mathrm{~cm}^3$ against a constant external pressure of $2 \tim
View Question Which of the following is primary allylic alcohol?
View Question Identify elements present in copper pyrites.
View Question Mathematics
The vector equation of a line whose Cartesian equations are $y=2,4 x-3 z+5=0$ is
View Question If 3 books on Physics, 2 books on Chemistry and 4 books on Mathematics are to be arranged on a shelf so that all the Phy
View Question The value of $\lim _\limits{x \rightarrow 0} \frac{x}{|x|+x^2}$ is
View Question Let $\overline{\mathrm{a}}=2 \hat{\mathrm{i}}+\hat{\mathrm{j}}-2 \hat{\mathrm{k}}$ and $\overline{\mathrm{b}}=\hat{\math
View Question The value of $\cos \left(2 \cos ^{-1} x+\sin ^{-1} x\right)$ at $x=\frac{1}{5}$ where $0 \leq \cos ^{-1} x \leq \pi$ and
View Question Considering only the principal values of inverse function, the set
$$A=\left\{x \geq 0 / \tan ^{-1}(2 x)+\tan ^{-1}(3 x)
View Question The slopes of the lines given by $x^2+2 h x y+2 y^2=0$ are in the ratio $1: 2$, then $h$ is
View Question If $y=\left[\mathrm{e}^{4 x}\left(\frac{x-4}{x+3}\right)^{\frac{3}{4}}\right]$ then $\frac{\mathrm{d} y}{\mathrm{~d} x}=
View Question $$\int 3^{3^x} \cdot 3^x d x=$$
View Question If $\mathrm{f}(x)=\frac{1+\cos \pi x}{\pi(1-x)^2}$, for $x \neq 1$ is continuous at $x=1$, then $\mathrm{f}(1)$ is equal
View Question The length of the longest interval, in which the function $3 \sin x-4 \sin ^3 x$ is increasing, is
View Question The scalar $\overline{\mathrm{a}} \cdot[(\overline{\mathrm{b}}+\overline{\mathrm{c}}) \times(\overline{\mathrm{a}}+\over
View Question The volume of parallelopiped formed by vectors $\hat{i}+m \hat{j}+\hat{k}, \hat{j}+m \hat{k}$ and $m \hat{i}+\hat{k}$ be
View Question If the vectors $\overline{\mathrm{a}}=\hat{\mathrm{i}}-\hat{\mathrm{j}}+2 \hat{\mathrm{k}}, \overline{\mathrm{b}}=2 \hat
View Question $$\int \log (1+x)^{1+x} \mathrm{~d} x=$$
View Question $$\int\left(\frac{x+2}{x+4}\right)^2 \cdot e^x \mathrm{~d} x=$$
View Question In $\triangle A B C$, with usual notations, if $\frac{1}{b+c}+\frac{1}{c+a}=\frac{3}{a+b+c}$, then $m \angle C$ is equal
View Question If $\mathrm{a}>0$ and $\mathrm{z}=\frac{(1+\mathrm{i})^2}{\mathrm{a}-\mathrm{i}}, \mathrm{i}=\sqrt{-1}$, has magnitude $
View Question A bag contains 4 Red and 6 Black balls. A ball is drawn at random from the bag, its colour is observed and this ball alo
View Question Let K be the set of all real values of $x$, where the function $\mathrm{f}(x)=\sin |x|-|x|+2(x-\pi) \cos |x|$ is not dif
View Question Let $f$ and $g$ be continuous functions on $[0, a]$ such that $f(x)=f(a-x)$ and $g(x)+g(a-x)=4$, then $\int_0^a f(x) g(x
View Question The principal solutions, of the equation $\sqrt{3} \sec x+2=0$, are
View Question The number of real solutions of
$\tan ^{-1} \sqrt{x(x+1)}+\sin ^{-1} \sqrt{x^2+x+1}=\frac{\pi}{2}$ is
View Question If $\bar{a}=(2 \hat{i}+2 \hat{j}+3 \hat{k}), \vec{b}=(-\hat{i}+2 \hat{j}+\hat{k}) \quad$ and $\bar{c}=(3 \hat{i}+\hat{j}
View Question The solution of the differential equation $\frac{\mathrm{d} y}{\mathrm{~d} x}=(x-y)^2$ when $y(1)=1$ is
View Question If $x_0$ is the point of local minima of $f(x)=\overline{\mathrm{a}} \cdot(\overline{\mathrm{b}} \times \overline{\mathr
View Question $\hat{a}, \hat{b}$, and $\hat{c}$ are three unit vectors such that $\hat{a} \times(\hat{b} \times \hat{c})=\frac{\sqrt{3
View Question For a suitable chosen real constant a, let a function $f: \mathbb{R}-\{-\mathrm{a}\} \rightarrow \mathbb{R}$ be defined
View Question If the statement $p \vee \sim(q \wedge r)$ is false, then the truth values of $p, q$ and $r$ are respectively
View Question If $\left(m_i, \frac{1}{m_i}\right), m_i>0, i=1,2,3,4$ are four distinct points on a circle, then the product $\mathrm{m
View Question If two lines $x+(a-1) y=1 \quad$ and $2 x+a^2 y=1(a \in R-\{0,1\})$ are perpendicular, then the distance of their point
View Question If $x \frac{\mathrm{~d} y}{\mathrm{~d} x}=y(\log y-\log x+1)$, then general solution of this equation is
View Question A spherical metal ball at 80$^\circ$C cools in 5 minutes to 60$^\circ$C, in surrounding temperature of 20$^\circ$C, then
View Question If a discrete random variable X takes values $0,1,2,3, \ldots \ldots$. with probability $\mathrm{P}(\mathrm{X}=x)=\mathr
View Question The Cartesian equation of the plane, passing through the points $(3,1,1),(1,2,3)$ and $(-1,4,2)$, is
View Question The equation of the line passing through the point $(-1,3,-2)$ and perpendicular to each of the lines $\frac{x}{1}=\frac
View Question If $y=a \sin x+b \cos x \quad$ (where $\mathrm{a}$ and $\mathrm{b}$ are constants), then $y^2+\left(\frac{\mathrm{d} y}{
View Question If Rolle's theorem holds for the function $\mathrm{f}(x)=x^3+\mathrm{bx}{ }^2+\mathrm{ax}+5$ on $[1,3]$ with $\mathrm{c}
View Question Ten bulbs are drawn successively, with replacement, from a lot containing $10 \%$ defective bulbs, then the probability
View Question If statement I : If the work is not finished on time, the contractor is in trouble.
statement II : Either the work is fi
View Question The value of $\sin \left(2 \cos ^{-1}\left(-\frac{3}{5}\right)\right)$ is
View Question If $y=\sqrt{\frac{1-\sin ^{-1} x}{1+\sin ^{-1} x}}$, then $\left(\frac{d y}{d x}\right)$ at $x=0$ is
View Question The point, at which the maximum value of $10 x+6 y$ subject to the constraints $x+y \leq 12$, $2 x+y \leq 20, x \geq 0,
View Question If the line $\frac{x-3}{2}=\frac{y+2}{-1}=\frac{z+4}{3}$ lies in the plane $\ell x+m y-z=9$, then $\ell^2+m^2$ is
View Question The mean of 100 observations is 50 and their standard deviation is 5 , then the sum of all squares of all the observatio
View Question The area of the region bounded by hyperbola $x^2-y^2=9$ and its latus rectum is
View Question $\int \frac{\mathrm{d} x}{3-2 \cos 2 x}=\frac{\tan ^{-1}(\mathrm{f}(x))}{\sqrt{5}}+\mathrm{c}$, (where c is a constant o
View Question The normal to the curve, $y(x-2)(x-3)=x+6$ at the point, where the curve intersects the Y-axis, passes through the point
View Question For all real $x$, the vectors $C x \hat{i}-6 \hat{j}-3 \hat{k}$ and $x \hat{\mathrm{i}}+2 \hat{\mathrm{j}}+2 \mathrm{C}
View Question If $A=\left[\begin{array}{cc}3 & -1 \\ -4 & 2\end{array}\right]$, then $A^{-1}$ is
View Question Physics
In semiconductors at room temperature,
View Question A particle at rest starts moving with a constant angular acceleration of $4 \mathrm{~rad} / \mathrm{s}^2$ in a circular
View Question The logic circuit in figure is equivalent to
View Question The intensity of light coming from one of the slits in Young's double slit experiment is double the intensity from the o
View Question A sample of oxygen gas and a sample of hydrogen gas both have the same mass, same volume and the same pressure. The rati
View Question The height above the earth's surface at which the acceleration due to gravity becomes $\left(\frac{1}{n}\right)$ times t
View Question A streamline flow of a liquid of density ' $\rho$ ' is passing through a horizontal pipe of crosssectional area $A_1$ an
View Question In an a.c. circuit $\mathrm{I}=100 \sin 200 \pi \mathrm{t}$. The time required for the current to achieve its peak value
View Question 90 J of work is done to move an electric charge of magnitude 3 C from a place A , where potential is -10 V to another pl
View Question A particle is performing simple harmonic motion and if the oscillations are Camped oscillations then the angular frequen
View Question The magnetic energy stored in an inductor of inductance $5 \mu \mathrm{H}$ carrying a current of 2 A is
View Question Two identical blocks each of mass ' M ' attached to the ends of a massless inextensible string which passes over a pulle
View Question The radius of innermost orbit of hydrogen atom is $5.3 \times 10^{-11} \mathrm{~m}$. The radius of fourth allowed orbit
View Question Two thin lenses have a combined power of +9D. When they are separated by a distance of 20 cm , their equivalent power be
View Question Two simple harmonic progressive waves have displacements $\rightarrow \mathrm{y}_1=\mathrm{a}_1 \sin \left(\frac{2 \pi \
View Question The pressure inside a soap bubble A is 1.01 atmosphere and that in a soap bubble B is 1.02 atmosphere. The ratio of volu
View Question A bicycle wheel of radius ' $R$ ' has ' $n$ ' spokes. It is rotating at the rate of ' $F$ ' r.p.m. perpendicular to the
View Question Choose the correct answer.
When a point of suspension of pendulum is moved vertically upward with acceleration ' $a$ ',
View Question When a metallic surface is illuminated with a radiation of wavelength ' $\lambda$ ', the stopping potential is ' $V$ '.
View Question The magnetic field at the centre of a current carrying circular coil of area ' $A$ ' is ' $B$ '. The magnetic moment of
View Question The P-V graph of an ideal gas, cycle is shown. The adiabatic process is described by the region
View Question A galvanometer of resistance ' $G$ ' is shunted by resistance of 'S' ohm. To keep the main current in the circuit unchan
View Question In an A.C. circuit, the potential difference ' $V$ ' and current 'I' are given respectively by $\mathrm{V}=100 \sin (100
View Question An annular ring has mass 10 kg and inner and outer radii are 10 m and 5 m respectively. Its moment of inertia about an a
View Question Railway track is made of steel segments separated by small gaps to allow for linear expansion. The segment of track is 1
View Question A wire under tension 225 N produces 6 beats per second when it is tuned with a fork. When the tension changes to 256 N ,
View Question In the third orbit of hydrogen atom the energy of an electron ' $E$ '. In the fifth orbit of helium $(Z=2)$ the energy o
View Question At S.T.P., the mean free path of gas molecule is 1500 d , where ' $d$ ' is diameter of molecule. What will be the mean f
View Question Three charges are placed at the vertices of an equilateral triangle as shown in the figure. For what value of charge ' $
View Question One mole of an ideal gas at an initial temperature of ' $T$ ' $K$ does ' $6 R$ ' of work adiabatically. If the ratio of
View Question In a Young's double slit experiment, the source is white light. One of the holes is covered by a red filter and another
View Question Glycerine of density $1.25 \times 10^3 \mathrm{~kg} / \mathrm{m}^3$ is flowing in conical shaped horizontal pipe. Crosss
View Question In an NPN transistor $10^{10}$ electrons enter the emitter in $10^{-6} \mathrm{~s}$ and $2 \%$ electrons recombine with
View Question Velocity of sound waves in air is $330 \mathrm{~m} / \mathrm{s}$. For a particular sound wave in air, path difference of
View Question A particle is performing uniform circular motion along the circumference of the circle of diameter 1 m with frequency 4
View Question A uniformly charged conducting sphere of diameter 14 cm has surface charge density of $40 \mu \mathrm{Cm}^{-2}$. The tot
View Question The acceleration of a moving body can be found from
View Question Two identical current carrying coils with same centre are placed with their planes perpendicular to each other. If curre
View Question The frequency ' $v_{\mathrm{m}}$ ' corresponding to which the energy emitted by a black body is maximum may vary with th
View Question The resistances in the left and right gap of a metre bridge are $40 \Omega$ and $60 \Omega$ respectively. When the bridg
View Question The magnitude of gravitational field at distance ' $r_1$ ' and ' $r_2$ ' from the centre of a uniform sphere of radius '
View Question Three masses $500 \mathrm{~g}, 300 \mathrm{~g}$ and 100 g are suspended at the end of spring as shown in figure and are
View Question The electrostatic potential inside a charged spherical ball is given by $\mathrm{V}=\mathrm{ar}^2+\mathrm{b}$ where ' r
View Question In the given circuit, when $S_1$ is closed, the capacitor gets fully charged. Now $\mathrm{S}_1$ is open and $\mathrm{S}
View Question A plane mirror produces a magnification of
View Question The work function of metal ' $A$ ' and ' $B$ ' are in the ratio $1: 2$. If light of frequency ' $f$ ' and ' $2 f$ ' is i
View Question The telescopes, for a given wavelength, the objectives with large aperture are used for
View Question A circuit having a self inductance of 1 henry carries a current of 1 A . To prevent the sparking when the circuit is bro
View Question An air column in a closed organ pipe vibrating in unison with a fork, produces second overtone. The vibrating air column
View Question At certain place a magnet makes 30 oscillations per minute. At another place if the magnetic induction is increased by t
View Question