MHT CET 2023 11th May Evening Shift
Paper was held on Thu, May 11, 2023 9:30 AM
View Questions

Chemistry

Identify the reagent 'R' used in the following reaction.
View Question
Which among the following phenols has highest melting point?
View Question
Identify the element having general electronic configuration $$\mathrm{ns}^1$$ from following.
View Question
Which of the following enzyme is found in saliva?
View Question
Which from following molecules exhibits lowest thermal stability?
View Question
The common name of Benzene-1,3-diol is:
View Question
For a reaction $$\mathrm{A}+\mathrm{B} \rightarrow$$ product, if $$[\mathrm{A}]$$ is doubled keeping $$[\mathrm{B}]$$ co
View Question
Identify the salt that undergoes hydrolysis and forms acidic solution from following.
View Question
Which from following sentences is NOT correct?
View Question
A solution of nonvolatile solute is obtained by dissolving $$1.5 \mathrm{~g}$$ in $$30 \mathrm{~g}$$ solvent has boiling
View Question
A weak base is $$1.42 \%$$ dissociated in its $$0.05 \mathrm{~M}$$ solution. Calculate its dissociation constant.
View Question
What is the value of percent atom economy when an organic compound of formula weight $$75 \mathrm{~u}$$ is obtained from
View Question
Calculate $$\Delta \mathrm{S}_{\text {total }}$$ for the following reaction at $$300 \mathrm{~K}$$. $$\mathrm{NH}_4 \mat
View Question
Which from following properties is NOT exhibited by LDP?
View Question
Identify the FALSE statement about ideal solution from following.
View Question
Which from following is NOT an example of amorphous solid?
View Question
Which of the following statements is NOT true about Bohr atomic model?
View Question
Calculate the rate constant of the first order reaction if $$80 \%$$ of the reactant reacted in 15 minute.
View Question
Calculate the degree of dissociation of $$0.01 \mathrm{~M}$$ acetic acid at $$25^{\circ} \mathrm{C}\left[\Lambda_{\mathr
View Question
Which element from following does NOT exhibit spin only magnetic moment in +3 state?
View Question
Identify the final product formed on ammonolysis of benzyl chloride followed by the reaction with two moles of $$\mathrm
View Question
Which from following elements is isoelectronic with $$\mathrm{Na}^{+}$$?
View Question
Which of the following is positively charged sol?
View Question
When tert-butyl bromide is heated with silver fluoride, the major product obtained is:
View Question
Which among the following is NOT a feature of $$\mathrm{S}_{\mathrm{N}} 2$$ mechanism?
View Question
What is the pH of 0.005 M NaOH solution?
View Question
What is the oxidation number of sulfur in $$\mathrm{H}_2 \mathrm{SO}_5$$ ?
View Question
If $$\mathrm{N}_2$$ gas is compressed at 2 atmosphere from 9.0 L to $$3.0 \mathrm{~L}$$ at $$300 \mathrm{~K}$$, find the
View Question
What is the number of moles of secondary carbon atoms in $$\mathrm{n}$$ mole isopentane?
View Question
Which from following substances consists of total 1 mole atoms in it? (Molar mass of $$\mathrm{NH}_3=17, \mathrm{H}_2 \m
View Question
Identify the formula of potassium trioxalatoaluminate(III).
View Question
If, Aniline $$\frac{\text { i) } \mathrm{NaNO}_2+\mathrm{HCl}, 273 \mathrm{~K}}{\text { ii) } \mathrm{H}_2 \mathrm{O}, \
View Question
Identify nonbenzenoid aromatic compound from following.
View Question
Methyl propanoate on hydrolysis with dil $$\mathrm{NaOH}$$ forms a salt which on further acidification with conc. $$\mat
View Question
Identify the product obtained in the following reaction. $$\left(\mathrm{CH}_3 \mathrm{CO}\right)_2 \mathrm{O} \stackrel
View Question
Identify the expression for average rate for following reaction. $$\mathrm{N}_{2(\mathrm{~g})}+3 \mathrm{H}_{2(\mathrm{~
View Question
The reaction of aryl halide with alkyl halide and sodium metal in dry ether to form substituted aromatic compounds is kn
View Question
Identify anionic complex from following.
View Question
Identify '$$\mathrm{A}$$' and '$$\mathrm{B}$$' in the following reaction. $$\mathrm{CH}_3 \mathrm{Br} \stackrel{\mathrm{
View Question
Calculate the molar mass of metal having density $$9.3 \mathrm{~g} \mathrm{~cm}^{-3}$$ that forms simple cubic unit cell
View Question
Calculate the $$\mathrm{E}_{\text {cell }}^{\circ}$$ for $$\mathrm{Zn}_{(\mathrm{s})}\left|\mathrm{Zn}_{(\mathrm{IM})}^{
View Question
What is the work done during oxidation of 4 moles of $$\mathrm{SO}_{2(\mathrm{~g})}$$ to $$\mathrm{SO}_{3(\mathrm{~g})}$
View Question
Identify the type of system if boiling water is kept in a half filled closed vessel.
View Question
What is the formal charge on sulfur in following Lewis structure?
View Question
Identify weakest halogen acid from following.
View Question
Which of the following phenomena is NOT explained by the open chain structure of glucose?
View Question
Which from following polymers is obtained from isoprene?
View Question
Find the radius of an atom in fcc unit cell having edge length $$405 \mathrm{pm}$$.
View Question
Which from following cations in their respective oxidation states develops colourless aqueous solution?
View Question
Calculate osmotic pressure of $$0.2 \mathrm{~M}$$ aqueous $$\mathrm{KCl}$$ solution at $$0^{\circ} \mathrm{C}$$ if van't
View Question

Mathematics

If $$\mathrm{f}(x)=3^x ; \mathrm{g}(x)=4^x$$, then $$\frac{\mathrm{f}^{\prime}(0)-\mathrm{g}^{\prime}(0)}{1+\mathrm{f}^{
View Question
If $$x=\frac{5}{1-2 \mathrm{i}}, \mathrm{i}=\sqrt{-1}$$, then the value of $$x^3+x^2-x+22$$ is
View Question
Two cards are drawn successively with replacement from a well-shuffled pack of 52 cards. Then mean of number of tens is
View Question
$$\int x \sqrt{\frac{2 \sin \left(x^2+1\right)-\sin 2\left(x^2+1\right)}{2 \sin \left(x^2+1\right)+\sin 2\left(x^2+1\rig
View Question
$$x-3=\frac{y-\mathrm{k}}{2}=\mathrm{z}$$ intersect, then the value of $$\mathrm{k}$$ is
View Question
$$\text { For all real } x \text {, the minimum value of } \frac{1-x+x^2}{1+x+x^2} \text { is }$$
View Question
If $$\bar{a}=\hat{i}+4 \hat{j}+2 \hat{k}, \bar{b}=3 \hat{i}-2 \hat{j}+7 \hat{k}, \bar{c}=2 \hat{i}-\hat{j}+4 \hat{k}$$,
View Question
If the vertices of a triangle are $$(-2,3),(6,-1)$$ and $$(4,3)$$, then the co-ordinates of the circumcentre of the tria
View Question
The solution of $$\frac{\mathrm{d} x}{\mathrm{~d} y}+\frac{x}{y}=x^2$$ is
View Question
If $$\int \frac{\cos 8 x+1}{\cot 2 x-\tan 2 x} \mathrm{~d} x=\mathrm{A} \cos 8 x+\mathrm{c}$$, where $$\mathrm{c}$$ is a
View Question
The set of all points, where the derivative of the functions $$\mathrm{f}(x)=\frac{x}{1+|x|}$$ exists, is
View Question
In triangle $$\mathrm{ABC}$$ with usual notations $$\mathrm{b}=\sqrt{3}, \mathrm{c}=1, \mathrm{~m} \angle \mathrm{A}=30^
View Question
A fair die is tossed twice in succession. If $$\mathrm{X}$$ denotes the number of fours in two tosses, then the probabil
View Question
If $$\mathrm{f}(x)=\frac{3 x+4}{5 x-7}$$ and $$\mathrm{g}(x)=\frac{7 x+4}{5 x-3}$$, then $$\mathrm{f}(\mathrm{g}(x))=$$
View Question
If the function $$f$$ is given by $$f(x)=x^3-3(a-2) x^2+3 a x+7$$, for some $$\mathrm{a} \in \mathbb{R}$$, is increasing
View Question
The unit vector perpendicular to each of the vectors $$\bar{a}+\bar{b}$$ and $$\bar{a}-\bar{b}$$, where $$\bar{a}=\hat{i
View Question
The logical statement $$(\sim(\sim \mathrm{p} \vee \mathrm{q}) \vee(\mathrm{p} \wedge \mathrm{r})) \wedge(\sim \mathrm{q
View Question
Let $$\bar{a}=2 \hat{i}+\hat{j}-2 \hat{k}, \bar{b}=\hat{i}+\hat{j}$$ and $$\bar{c}$$ be a vector such that $$|\bar{c}-\b
View Question
If $$a$$ and $$b$$ are positive number such that $$a>b$$, then the minimum value of $$a \sec \theta-b \tan \theta\left(0
View Question
$$\text { If } l=\lim _\limits{x \rightarrow 0} \frac{x}{|x|+x^2} \text {, then the value of } l \text { is }$$
View Question
If $$y=[(x+1)(2 x+1)(3 x+1) \ldots(\mathrm{n} x+1)]^{\frac{3}{2}}$$, then $$\frac{\mathrm{d} y}{\mathrm{~d} x}$$ at $$x=
View Question
If $$\cos x+\cos y-\cos (x+y)=\frac{3}{2}$$, then
View Question
The joint equation of the lines pair of lines passing through the point $$(3,-2)$$ and perpendicular to the lines $$5 x^
View Question
If the line $$\frac{x-1}{2}=\frac{y+1}{3}=\frac{z-2}{4}$$ meets the plane $$x+2 y+3 z=15$$ at the point $$P$$, then the
View Question
If $$\mathrm{A}$$ and $$\mathrm{B}$$ are two events such that $$\mathrm{P}(\mathrm{A})=\frac{1}{3}, \mathrm{P}(\mathrm{B
View Question
If the general solution of the equation $$\frac{\tan 3 x-1}{\tan 3 x+1}=\sqrt{3}$$ is $$x=\frac{\mathrm{n} \pi}{\mathrm{
View Question
If the area of the parallelogram with $$\bar{a}$$ and $$\bar{b}$$ as two adjacent sides is $$16 \mathrm{sq}$$. units, th
View Question
The value of $$\int(1-\cos x) \cdot \operatorname{cosec}^2 x d x$$ is
View Question
If $$\cos ^{-1} \sqrt{\mathrm{p}}+\cos ^{-1} \sqrt{1-\mathrm{p}}+\cos ^{-1} \sqrt{1-\mathrm{q}}=\frac{3 \pi}{4}$$, then
View Question
The slope of the tangent to a curve $$y=\mathrm{f}(x)$$ at $$(x, \mathrm{f}(x))$$ is $$2 x+1$$. If the curve passes thro
View Question
$$A$$ rod $$A B, 13$$ feet long moves with its ends $$A$$ and $$B$$ on two perpendicular lines $$O X$$ and $$O Y$$ respe
View Question
If $$\mathrm{f}(x)=\left\{\begin{array}{cc}\frac{x-3}{|x-3|}+\mathrm{a} & , \quad x 3\end{array}\right.$$ Is continuous
View Question
The equation of the tangent to the curve $$y=\sqrt{9-2 x^2}$$, at the point where the ordinate and abscissa are equal, i
View Question
If $$\overline{\mathrm{a}}=2 \hat{\mathrm{i}}+3 \hat{\mathrm{j}}+2 \hat{\mathrm{k}}, \overline{\mathrm{b}}=2 \hat{\mathr
View Question
If a circle passes through points $$(4,0)$$ and $$(0,2)$$ and its centre lies on $$\mathrm{Y}$$-axis. If the radius of t
View Question
If $$\mathrm{A}=\left[\begin{array}{ll}\mathrm{i} & 1 \\ 1 & 0\end{array}\right]$$ where $$\mathrm{i}=\sqrt{-1}$$ and $$
View Question
The solution of the differential equation $$\frac{\mathrm{d} y}{\mathrm{~d} x}+\frac{y}{x}=\sin x$$ is
View Question
Let $$f:[-1,2] \rightarrow[0, \infty)$$ be a continuous function such that $$\mathrm{f}(x)=\mathrm{f}(1-x), \forall x \i
View Question
The equation of line passing through the point $$(1,2,3)$$ and perpendicular to the lines $$\frac{x-2}{3}=\frac{y-1}{2}=
View Question
Let a random variable $$\mathrm{X}$$ have a Binomial distribution with mean 8 and variance 4. If $$\mathrm{P}(\mathrm{X}
View Question
$$\pi+\left(\sin ^{-1} \frac{4}{5}+\sin ^{-1} \frac{5}{13}+\sin ^{-1} \frac{16}{65}\right)$$ is equal to
View Question
If the angles of a triangle are in the ratio $$4: 1: 1$$, then the ratio of the longest side to its perimeter is
View Question
If truth value of logical statement $$(p \leftrightarrow \sim q) \rightarrow(\sim p \wedge q)$$ is false, then the truth
View Question
The teacher wants to arrange 5 students on the platform such that the boy $$B_1$$ occupies second position and the girls
View Question
If $$\overline{\mathrm{a}}=\hat{\mathrm{i}}+\hat{\mathrm{j}}+\hat{\mathrm{k}}, \overline{\mathrm{b}}=4 \hat{\mathrm{i}}+
View Question
At present a firm is manufacturing 1000 items. It is estimated that the rate of change of production $$\mathrm{P}$$ w.r.
View Question
The maximum value of $$z=3 x+5 y$$ subject to the constraints $$3 x+2 y \leq 18, x \leq 4, y \leq 6, x, y \geq 0$$, is
View Question
If $$\mathrm{I}=\int \sin (\log (x)) \mathrm{d} x$$, then $$\mathrm{I}$$ is given by
View Question
If both mean and variance of 50 observations $$x_1, x_2, \ldots \ldots, x_{50}$$ are equal to 16 and 256 respectively, t
View Question
The angle between the line $$\frac{x+1}{2}=\frac{y-2}{1}=\frac{z-3}{-2}$$ and plane $$x-2 y-\lambda z=3$$ is $$\cos ^{-1
View Question

Physics

The magnetic flux through a circuit of resistance '$$R$$' changes by an amount $$\Delta \phi$$ in the time $$\Delta t$$.
View Question
A beam of light of wavelength $$600 \mathrm{~nm}$$ from a distant source falls on a single slit $$1 \mathrm{~mm}$$ wide
View Question
An electron of mass '$$\mathrm{m}$$' and charge '$$\mathrm{q}$$' is accelerated from rest in a uniform electric field of
View Question
Two bodies have their moments of inertia I and 2I respectively about their axis of rotation. If their kinetic energies o
View Question
A ball kept at $$20 \mathrm{~m}$$ height falls freely in vertically downward direction and hits the ground. The coeffici
View Question
Two long conductors separated by a distance '$$\mathrm{d}$$' carry currents $$I_1$$ and $$I_2$$ in the same direction. T
View Question
The a.c. source is connected to series LCR circuit. If voltage across $$R$$ is $$40 \mathrm{~V}$$, that across $$\mathrm
View Question
In the study of transistor as an amplifier if $$\alpha=\frac{I_C}{I_E}=0.98$$ and $$\beta=\frac{I_C}{I_B}=49$$, where $$
View Question
A liquid drop of radius '$$R$$' is broken into '$$n$$' identical small droplets. The work done is [T = surface tension o
View Question
For a gas, $$\frac{\mathrm{R}}{\mathrm{C}_{\mathrm{v}}}=0 \cdot 4$$, where $$\mathrm{R}$$ is universal gas constant and
View Question
Two bodies $$\mathrm{A}$$ and $$\mathrm{B}$$ at temperatures '$$\mathrm{T}_1$$' $$\mathrm{K}$$ and '$$\mathrm{T}_2$$' $$
View Question
In a conical pendulum the bob of mass '$$\mathrm{m}$$' moves in a horizontal circle of radius '$$r$$' with uniform speed
View Question
A fluid of density '$$\rho$$' is flowing through a uniform tube of diameter '$$d$$'. The coefficient of viscosity of the
View Question
The self inductance '$$L$$' of a solenoid of length '$$l$$' and area of cross-section '$$\mathrm{A}$$', with a fixed num
View Question
A transverse wave in a medium is given by $$y=A \sin 2(\omega t-k x)$$. It is found that the magnitude of the maximum ve
View Question
The radius of the orbit of a geostationary satellite is (mean radius of earth is '$$R$$', angular velocity about own axi
View Question
According to Bohr's theory of hydrogen atom, the total energy of the electron in the $$\mathrm{n}^{\text {th }}$$ statio
View Question
In a series LCR circuit, $$\mathrm{C}=2 \mu \mathrm{F}, \mathrm{L}=1 \mathrm{mH}$$ and $$\mathrm{R}=10 \Omega$$. The rat
View Question
In Young's double slit experiment, the fifth maximum with wavelength '$$\lambda_1$$' is at a distance '$$y_1$$' and the
View Question
Bohr model is applied to a particle of mass '$$\mathrm{m}$$' and charge '$$\mathrm{q}$$' moving in a plane under the inf
View Question
A rectangular block of mass '$$\mathrm{m}$$' and crosssectional area A, floats on a liquid of density '$$\rho$$'. It is
View Question
Two spherical conductors of capacities $$3 \mu \mathrm{F}$$ and $$2 \mu \mathrm{F}$$ are charged to same potential havin
View Question
A circular arc of radius '$$r$$' carrying current '$$\mathrm{I}$$' subtends an angle $$\frac{\pi}{16}$$ at its centre. T
View Question
A sound of frequency $$480 \mathrm{~Hz}$$ is emitted from the stringed instrument. The velocity of sound in air is $$320
View Question
A sonometer wire '$$A$$' of diameter '$$\mathrm{d}$$' under tension '$$T$$' having density '$$\rho_1$$' vibrates with fu
View Question
The upper end of the spring is fixed and a mass '$$m$$' is attached to its lower end. When mass is slightly pulled down
View Question
What should be the diameter of a soap bubble, in order that the excess pressure inside it is $$25.6 \mathrm{~Nm}^{-2}$$
View Question
If temperature of gas molecules is raised from $$127^{\circ} \mathrm{C}$$ to $$527^{\circ} \mathrm{C}$$, the ratio of r.
View Question
The ratio of energy required to raise a satellite to a height '$$h$$' above the earth's surface to that required to put
View Question
According to Boyle's law, the product PV remains constant. The unit of $$\mathrm{PV}$$ is same as that of
View Question
When a metallic surface is illuminated with radiation of wavelength '$$\lambda$$', the stopping potential is '$$\mathrm{
View Question
Three identical capacitors of capacitance '$$\mathrm{C}$$' each are connected in series and this connection is connected
View Question
In Young's double slit experiment, green light is incident on two slits. The interference pattern is observed on a scree
View Question
Two batteries, one of e.m.f. $$12 \mathrm{~V}$$ and internal resistance $$2 \Omega$$ and other of e.m.f. $$6 \mathrm{~V}
View Question
Potential difference between the points P and Q is nearly
View Question
A coil having effective area '$$A$$' is held with its plane normal to a magnitude field of induction '$$\mathrm{B}$$'. T
View Question
The path difference between two waves, represented by $$\mathrm{y}_1=\mathrm{a}_1 \sin \left(\omega \mathrm{t}-\frac{2 \
View Question
An electromagnetic wave, whose wave normal makes an angle of $$45^{\circ}$$ with the vertical, travelling in air strikes
View Question
The difference in length between two rods $$\mathrm{A}$$ and $$\mathrm{B}$$ is $$60 \mathrm{~cm}$$ at all temperatures.
View Question
A parallel plate capacitor is charged by a battery and battery remains connected. The dielectric slab of constant '$$\ma
View Question
From a disc of mass '$$M$$' and radius '$$R$$', a circular hole of diameter '$$R$$' is cut whose rim passes through the
View Question
If $$p$$-$$n$$ junction diode is in forward bias then
View Question
The orbital magnetic moment associated with orbiting electron of charge '$$e$$' is
View Question
An ideal gas expands adiabatically. $$(\gamma=1 \cdot 5)$$ To reduce the r.m.s. velocity of the molecules 3 times, the g
View Question
A metal surface of work function $$1 \cdot 13 \mathrm{~eV}$$ is irradiated with light of wavelength $$310 \mathrm{~nm}$$
View Question
Two cars A and B start from a point at the same time in a straight line and their positions are represented by $$\mathrm
View Question
The a.c. source of e.m.f. with instantaneous value '$$e$$' is given by $$e=200 \sin (50 t)$$ volt. The r.m.s. value of c
View Question
In the digital circuit the inputs are as shown in figure. The Boolean expression for output $$\mathrm{Y}$$ is
View Question
A double convex lens of focal length '$$F$$' is cut into two equal parts along the vertical axis. The focal length of ea
View Question
Two progressive waves are travelling towards each other with velocity $$50 \mathrm{~m} / \mathrm{s}$$ and frequency $$20
View Question
EXAM MAP
Medical
NEET
Graduate Aptitude Test in Engineering
GATE CSEGATE ECEGATE EEGATE MEGATE CEGATE PIGATE IN
CBSE
Class 12