MHT CET 2024 9th May Morning Shift
Paper was held on Thu, May 9, 2024 3:30 AM
View Questions

Chemistry

Identify fibrous protein from following.
View Question
For the reaction, $$\mathrm{C}_3 \mathrm{H}_{8(\mathrm{~g})}+5 \mathrm{O}_{2(\mathrm{~g})} \longrightarrow 3 \mathrm{CO}
View Question
Which from following reactions is not possible for benzene due to reversible nature?
View Question
Calculate the volume of unit cell when metal having density $1 \mathrm{~g} \mathrm{~cm}^{-3}$ and molar mass $23 \mathrm
View Question
Which polymer is obtained from monomers using
View Question
Which from following elements belongs to the actinoids?
View Question
Which of the following rules states that it is impossible to determine simultaneously the exact position and exact momen
View Question
Calculate the cryoscopic constant of solvent when 2.5 gram solute is dissolved in 35 gram solvent lowers its freezing po
View Question
Which of the following solvents reduces the environmental pollution?
View Question
What is the number of electrons present in d-subshell if its atomic number is 27 and oxidation state is +2 ?
View Question
What is the volume occupied by 1 molecule of water, if its density is $1 \mathrm{~g} \mathrm{~cm}^{-3}$ ?
View Question
Identify the reason for the solubility of polar solute in polar solvent from the following.
View Question
Identify biodegradable polymer from following.
View Question
What is the pOH of millimolar solution of $\mathrm{Ca}(\mathrm{OH})_2$ ?
View Question
Which from following pairs is an example of isotones?
View Question
What is change in internal energy of the system when work done by the system is 150 J and system release 300 J of heat?
View Question
Which from following coordinate complexes is a heteroleptic complex?
View Question
Identify glycosidic linkage present in maltose.
View Question
What is the number of moles of Cl atoms and N atoms respectively present in n moles of tear gas?
View Question
What is bond angle $\mathrm{F}-\mathrm{B}-\mathrm{F}$ in $\mathrm{BF}_3$ ?
View Question
Which from the following statements about $\left[\mathrm{Co}\left(\mathrm{NH}_3\right)_6\right]^{3+}$ complex is NOT cor
View Question
What is the relation between edge length and total volume occupied by atoms in bec unit cell?
View Question
What is the value of $x$ and $y$ in order to balance following redox reaction? $$\mathrm{xCuO}+\mathrm{yNH}_3 \longright
View Question
Molar conductivity of 0.02 M weak acid is $7.92 \Omega^{-1} \mathrm{~cm}^2 \mathrm{~mol}^{-1}$ and its molar conductivit
View Question
Which from following compounds is most covalent?
View Question
What is the total number of atoms present in fcc unit cell?
View Question
For which electrolyte the molar conductivity at infinite dilution can not be obtained graphically?
View Question
The major product formed in carbylamine reaction is
View Question
Which among the following elements has highest electronegativity?
View Question
Consider the reaction $3 \mathrm{I}^{-}+\mathrm{S}_2 \mathrm{O}_8^{2-} \longrightarrow \mathrm{I}_3^{-}+2 \mathrm{SO}_4^
View Question
For the reaction, $\mathrm{NO}_{2(\mathrm{~g})}+\mathrm{CO}_{(\mathrm{g})} \longrightarrow \mathrm{NO}_{(\mathrm{g})}+\m
View Question
Which among the following compounds does not correctly match with its formula?
View Question
Which among the following forces of attraction is developed between polar and non polar molecules?
View Question
Which among the following is correct conjugate acid base pair for the equation stated below? $$\mathrm{HCl}+\mathrm{NH}_
View Question
Which among the following compounds is NOT a tertiary amine?
View Question
Which among the following reactions is used for the preparation of alkyl fluorides?
View Question
What type of colloid is milk?
View Question
What is the osmotic pressure of solution prepared by dissolving 3 gram solute in $2 \mathrm{dm}^3$ water at 300 K . (Mol
View Question
Which among the following is the method for the preparation of ethers?
View Question
Identify the bond line formula for propan-1-ol
View Question
IUPAC name of the compound
View Question
Dissociation constant and degree of dissociation of weak acid are $1.8 \times 10^{-5}$ and 0.03 respectively. What will
View Question
The decreasing order of reactivity of following alcohols with halo acid is (I) $\mathrm{CH}_3 \mathrm{OH}$ (II) $\mathrm
View Question
What is the product obtained in the reaction? $\mathrm{CH}_3-\mathrm{CH}=\mathrm{CH}-\mathrm{CH}_2-\mathrm{CHO} \xrighta
View Question
Two moles of an ideal gas is expanded isothermally from a volume of $300 \mathrm{~cm}^3$ to 2.5 $\mathrm{dm}^3$ at 298 K
View Question
Identify name of from following.
View Question
Which of the following compounds is used to convert acetaldehyde into acetaldehyde cynanohydrin?
View Question
What volume of chlorine gas (molar mass 71) is evolved at STP during electrolysis of fused NaCl by passage of 1 amp curr
View Question
Identify the test from following so that aldehyde when boiled with ammoniacal silver nitrate solution deposts silver.
View Question
Find the percentage of unreacted reactant for zero order reaction in 90 second having rate constant $1 \mathrm{~mol} \ma
View Question

Mathematics

If $A=\left[\begin{array}{lll}1 & 1 & 1 \\ 1 & a & 3 \\ 3 & 2 & 2\end{array}\right]$ and $B=\left[\begin{array}{ccc}-2 &
View Question
If $\int \mathrm{f}(x) \mathrm{d} x=\psi(x)$, then $\int x^5 \mathrm{f}\left(x^3\right) \mathrm{d} x$ is equal to
View Question
The population of a town increases at a rate proportional to the population at that time. If the population increases fr
View Question
If X is a random variable with distribution given below .tg {border-collapse:collapse;border-spacing:0;} .tg td{border
View Question
An urn contains nine balls of which three are red, four are blue and two are green. Three balls are drawn at random with
View Question
The area (in sq. units) bounded by the curves $y=(x+1)^2, y=(x-1)^2$ and the line $y=\frac{1}{4}$ is
View Question
If $\int \frac{d x}{\sqrt[3]{\sin ^{11} x \cos x}}=-\left(\frac{3}{8} f(x)+\frac{3}{2} g(x)\right)+c$ then
View Question
A random variable X takes values $-1,0,1,2$ with probabilities $\frac{1+3 \mathrm{p}}{4}, \frac{1-\mathrm{p}}{4}, \frac{
View Question
Let C be a curve given by $y(x)=1+\sqrt{4 x-3}$, $x>\frac{3}{4}$. If P is a point on C , such that the tangent at P has
View Question
The equation of the circle, the end points of whose diameter are the centres of the circles $x^2+y^2+6 x-14 y+5=0$ and $
View Question
The equation of the plane, passing through the point $(1,1,1)$ and perpendicular to the planes $2 x+y-2 z=5$ and $3 x-6
View Question
If for $x \in\left(0, \frac{1}{4}\right)$, the derivative of $\tan ^{-1}\left(\frac{6 x \sqrt{x}}{1-9 x^3}\right)$ is $\
View Question
If the vectors $a \hat{i}+\hat{j}+\hat{k}, \hat{i}+b \hat{j}+\hat{k}, \hat{i}+\hat{j}+c \hat{k}$ $(a \neq b, c \neq 1)$
View Question
The sides of a triangle are $\sin \theta, \cos \theta$ and $\sqrt{1+\sin \theta \cos \theta}$ for some $0
View Question
If $\lim\limits_{x \rightarrow \infty}\left(\frac{x^2+x+1}{x+1}-a x-b\right)=4$ then
View Question
If $y=y(x)$ is the solution of the differential equation $x \frac{\mathrm{dy}}{\mathrm{d} x}+2 y=x^2$ satisfying $y(1)=1
View Question
The value of $\cos ^{-1}\left\{\frac{1}{\sqrt{2}}\left(\cos \frac{9 \pi}{10}-\sin \frac{9 \pi}{10}\right)\right\}$ is
View Question
Consider the statements given by following : (A) If $3+3=7$, then $4+3=8$. (B) If $5+3=8$, then earth is flat. (C) I
View Question
If $\alpha+\beta=\frac{\pi}{2}$ and $\beta+\gamma=\alpha$, then $\tan \alpha$ equals
View Question
If $\mathrm{f}(x)=\frac{\log x}{x}(x>0)$, then it is increasing in
View Question
If $\overline{\mathrm{a}}, \overline{\mathrm{b}}$ and $\overline{\mathrm{c}}$ are three non-coplanar vectors, then $(\ba
View Question
In a class of 300 students, every student reads 5 news papers and every news paper is read by 60 students. Then the numb
View Question
The maximum value of $\frac{\log x}{x}$ is
View Question
 Derivative of $\mathrm{e}^x$ w.r.t. $\sqrt{x}$ is
View Question
The curve satisfying the differential equation $y \mathrm{~d} x-\left(x+3 y^2\right) \mathrm{dy}=0$ and passing through
View Question
The maximum value of $z=x+y$, subjected to $x+y \leq 10,5 x+3 y \geq 15, x \leq 6, x, y \geq 0$
View Question
The distance of the point $(1,3,-7)$ from the plane passing through the point $(1,-1,-1)$ having normal perpendicular to
View Question
Domain of definition of the real valued function $f(x)=\sqrt{\sin ^{-1}(2 x)+\frac{\pi}{6}}$ is
View Question
The value of m , such that $\frac{x-4}{1}=\frac{y-2}{1}=\frac{z-m}{2}$ lies in the plane $2 x-4 y+z=7$, is
View Question
Suppose that $\bar{p}, \bar{q}$ and $\overline{\mathrm{r}}$ are three non-coplanar vectors in $\mathbb{R}^3$. Let the co
View Question
$\int \frac{x^4+x^2+1}{x^2-x+1} d x$ is equal to
View Question
If the curves $y^2=6 x, 9 x^2+\mathrm{b} y^2=16$ intersect each other at right angles, then the value of $b$ 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 mean and the standard deviation of 10 observations are 20 and 2 respectively. Each of these 10 observations is multi
View Question
If Mean value theorem holds for the function $\mathrm{f}(x)=(x-1)(x-2)(x-3), x \in[0,4]$ then the values of $c$ as per t
View Question
The value of $\mathrm{I}=\mathrm{I}=\int_{\frac{\pi}{2}}^{\frac{\pi}{2}} \frac{x^2 \cos x}{1+\mathrm{e}^{-x}} \mathrm{~d
View Question
If $\overline{\mathrm{a}}=\hat{\mathrm{i}}+\hat{\mathrm{j}}+\hat{\mathrm{k}}, \overline{\mathrm{a}} \cdot \overline{\mat
View Question
If the mean and the variance of Binomial variate $X$ are 2 and 1 respectively, then the probability that X takes a value
View Question
The value of $I=\int \frac{(x-1) \mathrm{e}^x}{(x+1)^3} \mathrm{dx}$ is
View Question
If $Z=\frac{-2}{1+\sqrt{3} i}, i=\sqrt{-1}$, then the value of $\arg Z$ is
View Question
In $(0,2 \pi)$, the number of solutions of $\tan \theta+\sec \theta=2 \cos \theta$ are
View Question
If the area of the parallelogram with $\bar{a}$ and $\bar{b}$ as two adjacent sides is 15 square units, then the area (i
View Question
If an equation $h x y+g x+f y+c=0$ represents a pair of lines, then
View Question
The general solution of $\sin x-3 \sin 2 x+\sin 3 x=\cos x-3 \cos 2 x+\cos 3 x$ is
View Question
The length of the perpendicular from the point $\mathrm{A}(1,-2,-3)$ on the line $\frac{x-1}{2}=\frac{y+3}{-1}=\frac{z+1
View Question
The straight line, $2 x-3 y+17=0$ is perpendicular to the line passing through the points $(7,17)$ and $(15, \beta)$, th
View Question
If $\mathrm{f}(x)=\frac{x^2-x}{x^2+2 x}$ then $\frac{\mathrm{d}}{\mathrm{d} x}\left(\mathrm{f}^{-1}(x)\right)$ at $x=2$
View Question
For the triangle ABC , with usual notations, if the angles $A, B, C$ are in A.P. and $\mathrm{m} \angle \mathrm{A}=30^{\
View Question
Let $p, q, r$ be three statements such that the truth value of $(p \wedge q) \rightarrow(\sim q \vee r)$ is $F$. Then th
View Question
Let k be a non-zero real number. If $f(x)=\left\{\begin{array}{cl}\frac{\left(\mathrm{e}^x-1\right)^2}{\sin \left(\frac{
View Question

Physics

The gyromagnetic ratio and Bohr magneton are given respectively by [Given $\rightarrow \mathrm{e}=$ charge on electron,
View Question
Two satellites A and B having ratio of masses $3: 1$ are revolving in circular orbits of radii ' $r$ ' and ' 4 r '. The
View Question
The current amplification factor of a transistor is 50 . The input resistance when used in common emitter mode is $1 \ma
View Question
Average power associated with an ideal inductor and ideal capacitor over a complete cycle of a.c. is respectively
View Question
A metal rod of length ' $l$ ' rotates about one of its ends in a plane perpendicular to a magnetic field of induction '
View Question
In S.H.M. the displacement of a particle at an instant is $Y=A \cos 30^{\circ}$, where $A=40 \mathrm{~cm}$ and kinetic e
View Question
Two sound waves having same amplitude ' $A$ ' and angular frequency ' $\omega$ ' but having a phase difference of $\left
View Question
Out of the following musical instruments, which is 'NOT' a percussion instrument?
View Question
The function of dielectric in a capacitor is
View Question
Three identical metal spheres (of same surface area) have red, black and white colors and they are heated up to same tem
View Question
In an ammeter, $4 \%$ of the main current is passing through the galvanometer, If shunt resistance is $5 \Omega$, then r
View Question
LC series resonant circuit produces resonant frequency ' $f$ '. If ' $L$ ' is tripled and ' $C$ ' is increased by $3 C$,
View Question
A wavefront is a surface
View Question
When the tension in string is increased by $3 \mathrm{~kg} \omega \mathrm{t}$, the frequency of the fundamental mode inc
View Question
In the system of two particles of masses ' $\mathrm{m}_1$ ' and ' $\mathrm{m}_2$ ', the first particle is moved by a dis
View Question
The potential energy of a long spring when it is stretched by 3 cm is ' $U$ '. If the spring is stretched by 9 cm , pote
View Question
A thin uniform rod of length ' $L$ ' and mass ' $M$ ' is swinging freely along a horizontal axis passing through its cen
View Question
Three immiscible transparent liquids with uniform refractive indices $\frac{3}{2}, \frac{4}{3}$ and $\frac{6}{5}$ are ar
View Question
When a hydrogen atom is raised from the ground state to the excited state
View Question
In the logic circuit diagram, when all the four inputs $\mathrm{A}, \mathrm{B}, \mathrm{C}, \mathrm{D}$ are one, the out
View Question
Two coils have a mutual inductance $5 \times 10^{-3} \mathrm{H}$. The current changes in the first coil according to the
View Question
When an air bubble rises from the bottom of lake to the surface, its radius is doubled. The atmospheric pressure is equa
View Question
The period of a planet around the sun is 8 times that of earth. The ratio of radius of planet's orbit to the radius of t
View Question
The magnetic induction due to an ideal solenoid is independent of
View Question
The moment of inertia of thin square plate PQRS of uniform thickness, about an axis passing through centre ' O ' and per
View Question
In hydrogen atom, ratio of the shortest wavelength in the Balmer series to that in the Paschen series is
View Question
At certain temperature, $\operatorname{rod} \mathrm{A}$ and $\operatorname{rod} \mathrm{B}$ of different materials have
View Question
Velocity of light in diamond is $\left(\frac{5}{12}\right)^{\text {th }}$ times that in air. Velocity of light in water
View Question
When a capacitor is connected in series LR circuit, the alternating current flowing in the circuit
View Question
The internal energy of a gas will increase when it
View Question
A sonometer wire is stretched by hanging a metal bob, the fundamental frequency of the wire is ' $n_1$ '. When the bob i
View Question
The magnetic field intensity inside current carrying solenoid is $\mathrm{H}=2.4 \times 10^3 \mathrm{~A} / \mathrm{m}$.
View Question
If the electric flux entering and leaving an enclosed surface is $\phi_1$ and $\phi_2$ then charge enclosed in the surfa
View Question
A gas is contained in closed vessel. The initial temperature of the gas is $100^{\circ} \mathrm{C}$. If the pressure of
View Question
According to Bohr's theory of hydrogen atom, the ratio of the maximum and minimum wavelength of Lyman series will be
View Question
In the given circuit diagram, in the steady state the current through the battery and the charge on the capacitor respec
View Question
Water is flowing in a conical tube as shown in figure. Velocity of water at area ' $\mathrm{A}_2$ ' is $60 \mathrm{~cm}
View Question
A point object kept at P in front of a glass sphere of radius ' $R$ ' has its image formed at $Q$ such that $\mathrm{PO}
View Question
The magnetic flux through a coil of resistance ' $R$ ' changes by an amount ' $\Delta \phi$ ' in time ' $\Delta t$ '. Th
View Question
A circular disc of radius ' $R$ ' and thickness $\frac{R}{8}$ has moment of inertia 'I' about an axis passing through it
View Question
When the two known resistance ' $R$ ' and ' $S$ ' are connected in the left and right gaps of a meter bridge respectivel
View Question
For an ideal gas, in an isobaric process, the ratio of heat supplied ' $Q$ ' to the work done ' $w$ ' by the system is (
View Question
A particle is performing S.H.M. with an amplitude 4 cm . At the mean position the velocity of the particle is $12 \mathr
View Question
A velocity - time graph of a body is shown below. The distance covered by the body from 6 second to 9 second is
View Question
Two identical photocathodes receive light of frequencies ' $\mathrm{n}_1$ ' and ' $\mathrm{n}_2$ '. If the velocities of
View Question
The temperature of a gas is $-80^{\circ} \mathrm{C}$. To what temperature the gas should be heated so that the r.m.s. sp
View Question
Two wavelength 590 nm and 596 nm of sodium light are used one after other, to study the diffraction taking place at a si
View Question
For the diagram shown, the resistance between points A and B when the ideal diode ' $D$ ' is forward biased is ' $R_1$ '
View Question
A parallel plate capacitor of capacitance ' $C$ ' is connected to a battery and charged to a potential difference ' $V$
View Question
A tuning fork of frequency 340 Hz is vibrated just above a tube of 120 cm height. Water is slowly poured in the tube. Wh
View Question
EXAM MAP
Medical
NEETAIIMS
Graduate Aptitude Test in Engineering
GATE CSEGATE ECEGATE EEGATE MEGATE CEGATE PIGATE IN
Civil Services
UPSC Civil Service
Defence
NDA
Staff Selection Commission
SSC CGL Tier I
CBSE
Class 12