MHT CET 2023 14th May Morning Shift

Paper was held on
Sun, May 14, 2023 3:30 AM

## Chemistry

Which from following molecules does NOT contain nitrogen in it?

View Question Calculate the volume of unit cell if an element having molar mass $$56 \mathrm{~g} \mathrm{~mol}^{-1}$$ that forms bcc u

View Question Find the number of orbitals and maximum electrons respectively present in $$\mathrm{M}$$-shell?

View Question Which from following expressions is used to find the cell potential of $$\mathrm{Cd}_{(\mathrm{s})}\left|\mathrm{Cd}_{(\

View Question Which of the following is formed when propene is heated with bromine at high temperature?

View Question Identify the product '$$B$$' in the following sequence of reactions.
$$\mathrm{CH}_3 \mathrm{Br} \xrightarrow{\mathrm{KC

View Question Identify '$$\mathrm{A}$$' in the following reaction.
A+ Acetic anhydride $$\xrightarrow{\mathrm{H}^{+}}$$ Aspirin + Acet

View Question What is the value of $$\angle \mathrm{S}-\mathrm{S}-\mathrm{S}$$ in puckered $$\mathrm{S}_8$$ rhombic sulfur?

View Question Identify the reagent used in the following reaction.
Benzoic acid $$\xrightarrow[\Delta]{\text { Reagent }}$$ Benzoyl ch

View Question Which activity from following is exhibited by Lewis base according to definition?

View Question Which of the following ion has greater coagulating power for negatively charged sol?

View Question If enthalpy change for following reaction at $$300 \mathrm{~K}$$ is $$+7 \mathrm{~kJ} \mathrm{~mol}^{-1}$$ find the entr

View Question Identify the polymer obtained from

View Question What is IUPAC name of the following compound?

View Question Calculate the $$\mathrm{pH}$$ of $$0.01 \mathrm{~M}$$ strong dibasic acid.

View Question Which among the following cations produces colourless aqueous solution in their respective oxidation state?

View Question What is the number of moles of electrons gained by one mole oxidizing agent in following redox reaction?
$$\mathrm{Zn_{(

View Question Find the temperature in degree Celsius if volume and pressure of 2 mole ideal gas is $$20 \mathrm{~dm}^3$$ and $$4.926 \

View Question What is the geometry of $$\mathrm{PCl}_5$$ molecule as per VSEPR?

View Question What is coordination number of central metal ion in $$\left[\mathrm{Fe}\left(\mathrm{C}_2 \mathrm{O}_4\right)_3\right]^{

View Question Which among the following is NOT a true statement for enantiomers?

View Question Which from following formulae is of sodium hexanitrocobaltate(III)?

View Question Which isomer among the following has the highest boiling point?

View Question Which element from following exhibits the highest number of allotropes?

View Question Which of the following is a pair of dihydric phenols?

View Question Calculate $$\Delta \mathrm{H}$$ for following reaction, at $$25{ }^{\circ} \mathrm{C}$$.
$$\mathrm{NH}_2 \mathrm{CN}_{(\

View Question What is number of atoms present in $$2.24 \mathrm{~dm}^3 \mathrm{~NH}_{3(\mathrm{~g})}$$ at STP?

View Question What is the number of moles of tertiary carbon atoms in a molecule of isobutane?

View Question According to carbinol system, name of isopropyl alcohol is

View Question Calculate the relative lowering of vapour pressure if the vapour pressure of benzene and vapour pressure of solution of

View Question Which from following is NOT true about voltaic cell?

View Question Calculate the percent atom economy when a product of formula weight $$175 \mathrm{u}$$ is obtained in a chemical reactio

View Question Identify false statement regarding isothermal process from following.

View Question Calculate dissociation constant of $$0.001 \mathrm{M}$$ weak monoacidic base undergoing $$2 \%$$ dissociation.

View Question Find the rate law for the reaction, $$\mathrm{CHCl}_{3(\mathrm{~g})}+\mathrm{Cl}_{2(\mathrm{~g})} \rightarrow \mathrm{CC

View Question The rate for reaction $$2 \mathrm{~A}+\mathrm{B} \rightarrow$$ product is $$6 \times 10^{-4} \mathrm{~mol} \mathrm{~dm}^

View Question Calculate molar conductivity of $$\mathrm{NH}_4 \mathrm{OH}$$ at infinite dilution if molar conductivities of $$\mathrm{

View Question Calculate radius of third orbit of $$\mathrm{He}^{+}$$.

View Question Calculate the depression in freezing point of solution when $$4 \mathrm{~g}$$ nonvolatile solute of molar mass $$126 \ma

View Question In an ionic crystalline solid, atoms of element Y forms hep structure. The atoms of element X occupy one third of tetrah

View Question What is total number of crystal systems associated with 14 Bravais lattices?

View Question Which from following catalyst is used in decomposition of $$\mathrm{KCl}_3$$ ?

View Question Which from following polymers is used to obtain plastic dinner ware?

View Question Identify non reducing sugar from following.

View Question In which of the following carbohydrate, molecular mass increases by $$84 \mathrm{u}$$ after complete acetylation?

View Question Which element from following exhibits common oxidation state +2 ?

View Question Calculate half life of first order reaction if rate constant of reaction is $$2.772 \times 10^{-3} \mathrm{~s}^{-1}$$

View Question Which among the following is NOT colligative property?

View Question Identify the reaction in which carbonyl group of aldehydes and ketones is reduced to methylene group on treatment with h

View Question Identify the product '$$\mathrm{B}$$' in the following reaction. Toluene $$\xrightarrow[\mathrm{CS}_2]{\text { Chromylch

View Question ## Mathematics

The negation of the statement
"The number is an odd number if and only if it is divisible by 3."

View Question Two cards are drawn successively with replacement from well shuffled pack of 52 cards, then the probability distribution

View Question For an initial screening of an entrance exam, a candidate is given fifty problems to solve. If the probability that the

View Question General solution of the differential equation $$\cos x(1+\cos y) \mathrm{d} x-\sin y(1+\sin x) \mathrm{d} y=0$$ is

View Question The variance of 20 observations is 5. If each observation is multiplied by 2, then variance of resulting observations is

View Question The statement $$[(p \rightarrow q) \wedge \sim q] \rightarrow r$$ is tautology, when $$r$$ is equivalent to

View Question The solution set of the inequalities $$4 x+3 y \leq 60, y \geq 2 x, x \geq 3, x, y \geq 0$$ is represented by region

View Question If the line $$x-2 y=\mathrm{m}(\mathrm{m} \in \mathrm{Z})$$ intersects the circle $$x^2+y^2=2 x+4 y$$ at two distinct po

View Question If $$\bar{a}, \bar{b}, \bar{c}$$ are three vectors such that $$|\bar{a}+\bar{b}+\bar{c}|=1, \overline{\mathrm{c}}=\lambd

View Question The equation $$x^3+x-1=0$$ has

View Question Let $$\bar{a}, \bar{b}, \bar{c}$$ be three vectors such that $$|\bar{a}|=\sqrt{3}, |\bar{b}|=5, \bar{b} \cdot \bar{c}=10

View Question Let $$A=\left[\begin{array}{cc}2 & -1 \\ 0 & 2\end{array}\right].$$ If $$B=I-{ }^3 C_1(\operatorname{adj} A)+{ }^3 C_2(\

View Question If $$\triangle \mathrm{ABC}$$ is right angled at $$\mathrm{A}$$, where $$A \equiv(4,2, x), \mathrm{B} \equiv(3,1,8)$$ an

View Question The angle between the lines, whose direction cosines $$l, \mathrm{~m}, \mathrm{n}$$ satisfy the equations $$l+\mathrm{m}

View Question Let $$f: R \rightarrow R$$ be a function such that $$\mathrm{f}(x)=x^3+x^2 \mathrm{f}^{\prime}(1)+x \mathrm{f}^{\prime \

View Question If $$\sin (\theta-\alpha), \sin \theta$$ and $$\sin (\theta+\alpha)$$ are in H.P., then the value of $$\cos 2 \theta$$ i

View Question $$\text { If } y=\left(\sin ^{-1} x\right)^2+\left(\cos ^{-1} x\right)^2, \text { then }\left(1-x^2\right) y_2-x y_1=$$

View Question If $$a>0$$ and $$z=\frac{(1+i)^2}{a-i}, i=\sqrt{-1}$$, has magnitude $$\frac{2}{\sqrt{5}}$$, then $$\bar{z}$$ is

View Question In $$\triangle \mathrm{ABC}$$, with usual notations, $$2 \mathrm{ac} \sin \left(\frac{1}{2}(\mathrm{~A}-\mathrm{B}+\math

View Question $$\int \frac{\sin 2 x\left(1-\frac{3}{2} \cos x\right)}{e^{\sin ^2 x+\cos ^3 x}} d x=$$

View Question If $$\mathrm{f}^{\prime}(x)=\tan ^{-1}(\sec x+\tan x),-\frac{\pi}{2}

View Question If $$\int \frac{\cos \theta}{5+7 \sin \theta-2 \cos ^2 \theta} d \theta=A \log _e|f(\theta)|+c$$ (where $$c$$ is a const

View Question If $$\overline{\mathrm{a}}, \overline{\mathrm{b}}, \overline{\mathrm{c}}$$ are unit vectors and $$\theta$$ is angle betw

View Question The integral $$\int_\limits{\frac{\pi}{6}}^{\frac{\pi}{3}} \sec ^{\frac{2}{3}} x \operatorname{cosec}^{\frac{4}{3}} x d

View Question The principal solutions of the equation $$\sec x+\tan x=2 \cos x$$ are

View Question If $$\bar{a}, \bar{b}, \bar{c}$$ are three vectors with magnitudes $$\sqrt{3}$$, 1, 2 respectively, such that $$\bar{a}

View Question Let the curve be represented by $$x=2(\cos t+t \sin t), y=2(\sin t-t \cos t)$$. Then normal at any point '$$t$$' of the

View Question Equation of the plane passing through $$(1,-1,2)$$ and perpendicular to the planes $$x+2 y-2 z=4$$ and $$3 x+2 y+z=6$$ i

View Question If $$\cos ^{-1} x+\cos ^{-1} y+\cos ^{-1} z=3 \pi$$, then the value of $$x^{2025}+x^{2026}+x^{2027}$$ is

View Question $$\mathrm{p}$$ is the length of perpendicular from the origin to the line whose intercepts on the axes are a and $$\math

View Question $$\text { If } f(x)= \begin{cases}3\left(1-2 x^2\right) & ; 0

View Question $$\int \frac{\sin x+\sin ^3 x}{\cos 2 x} d x=A \cos x+B \log \mathrm{f}(x)+c$$
(where $$\mathrm{c}$$ is a constant of in

View Question If $$y=[(x+1)(2 x+1)(3 x+1) \ldots \ldots(\mathrm{n} x+1)]^n$$, then $$\frac{\mathrm{d} y}{\mathrm{~d} x}$$ at $$x=0$$ i

View Question Let $$\mathrm{B} \equiv(0,3)$$ and $$\mathrm{C} \equiv(4,0)$$. The point $$\mathrm{A}$$ is moving on the line $$y=2 x$$

View Question $$\lim _\limits{x \rightarrow \infty} x^3\left\{\sqrt{x^2+\sqrt{1+x^4}}-x \sqrt{2}\right\}=$$

View Question The money invested in a company is compounded continuously. If ₹ 200 invested today becomes ₹ 400 in 6 years, then at th

View Question The range of the function $$\mathrm{f}(x)=\frac{x^2}{x^2+1}$$ is

View Question The differential equation of $$y=\mathrm{e}^x(\mathrm{a} \cos x+\mathrm{b} \sin x)$$ is

View Question If $$\int \frac{x^3 \mathrm{~d} x}{\sqrt{1+x^2}}=\mathrm{a}\left(1+x^2\right) \sqrt{1+x^2}+\mathrm{b} \sqrt{1+x^2}+\math

View Question The perpendiculars are drawn to lines $$L_1$$ and $$L_2$$ from the origin making an angle $$\frac{\pi}{4}$$ and $$\frac{

View Question The function $$\mathrm{f}(x)=[x] \cdot \cos \left(\frac{2 x-1}{2}\right) \pi$$, where $$[\cdot]$$ denotes the greatest i

View Question A line with positive direction cosines passes through the point $$\mathrm{P}(2,-1,2)$$ and makes equal angles with the c

View Question If the shortest distance between the lines $$\frac{x-1}{2}=\frac{y-2}{3}=\frac{z-3}{\lambda}$$ and $$\frac{x-2}{1}=\frac

View Question If the angles $$\mathrm{A}, \mathrm{B}$$, and $$\mathrm{C}$$ of a triangle are in an Arithmetic Progression and if $$\ma

View Question A linguistic club consists of 6 girls and 4 boys. A team of 4 members is to be selected from this group including the se

View Question The maximum value of the function $$f(x)=3 x^3-18 x^2+27 x-40$$ on the set $$\mathrm{S}=\left\{x \in \mathrm{R} / x^2+30

View Question Let $$f(x)=\int \frac{x^2-3 x+2}{x^4+1} \mathrm{~d} x$$, then function decreases in the interval

View Question Three critics review a book. For the three critics the odds in favour of the book are $$2: 5, 3: 4$$ and $$4: 3$$ respec

View Question Consider the lines $$\mathrm{L}_1: \frac{x+1}{3}=\frac{y+2}{1}=\frac{\mathrm{z}+1}{2}$$
$$\mathrm{L}_2: \frac{x-2}{1}=\f

View Question The area bounded by the curves $$y=(x-1)^2, y=(x+1)^2$$ and $$y=\frac{1}{4}$$ is

View Question ## Physics

A sphere and a cube, both of copper have equal volumes and are black. They are allowed to cool at same temperature and i

View Question An alternating voltage is applied to a series LCR circuit. If the current leads the voltage by $$45^{\circ}$$, then $$\l

View Question A horizontal wire of mass '$$m$$', length '$$l$$' and resistance '$$R$$' is sliding on the vertical rails on which unifo

View Question Frequency of the series limit of Balmer series of hydrogen atom in terms of Rydberg's constant (R) and velocity of light

View Question A string is stretched between two rigid supports separated by $$75 \mathrm{~cm}$$. There are no resonant frequencies bet

View Question A straight wire carrying a current (I) is turned into a circular loop. If the magnitude of the magnetic moment associate

View Question The diffraction fringes obtained by a single slit are of

View Question A particle moves around a circular path of radius '$$r$$' with uniform speed '$$V$$'. After moving half the circle, the

View Question On dry road, the maximum speed of a vehicle along a circular path is '$$V$$'. When the road becomes wet, maximum speed b

View Question A wire of length $$3 \mathrm{~m}$$ connected in the left gap of a meter-bridge balances $$8 \Omega$$ resistance in the r

View Question By adding soluble impurity in a liquid, angle of contact

View Question For a common emitter configuration, if '$$\alpha$$' and '$$\beta$$' have their usual meanings, the incorrect relation be

View Question A simple pendulum of length '$$l$$' and a bob of mass '$$\mathrm{m}$$' is executing S.H.M. of small amplitude '$$A$$'. T

View Question Which of the following combination of 7 identical capacitors each of $$2 \mu \mathrm{F}$$ gives a capacitance of $$\frac

View Question The potential energy of a molecule on the surface of a liquid compared to the molecules inside the liquid is

View Question A progressive wave is given by, $$\mathrm{Y}=12 \sin (5 \mathrm{t}-4 \mathrm{x})$$. On this wave, how far away are the t

View Question The de-Broglie wavelength $$(\lambda)$$ of a particle is related to its kinetic energy (E) as

View Question For a purely inductive or a purely capacitive circuit, the power factor is

View Question The electric field intensity on the surface of a solid charged sphere of radius '$$r$$' and volume charge density '$$\rh

View Question A body is said to be opaque to the radiation if (a, r and t are coefficient of absorption, reflection and transmission r

View Question In a thermodynamic system, $$\Delta U$$ represents the increases in its internal energy and dW is the work done by the s

View Question A combination of two thin lenses in contact have power $$+10 \mathrm{D}$$. The power reduces to $$+6 \mathrm{D}$$ when t

View Question The reciprocal of the total effective resistance of LCR a.c. circuit is called

View Question If the radius of the first Bohr orbit is '$$r$$' then the de-Broglie wavelength of the electron in the $$4^{\text {th }}

View Question A string of length '$$L$$' fixed at one end carries a body of mass '$$\mathrm{m}$$' at the other end. The mass is revolv

View Question The temperature of a gas is $$-68^{\circ} \mathrm{C}$$. To what temperature should it be heated, so that the r.m.s. velo

View Question The displacement of a particle executing S.H.M. is $$x=\mathrm{a} \sin (\omega t-\phi)$$. Velocity of the particle at ti

View Question A uniformly charged semicircular arc of radius '$$r$$' has linear charge density '$$\lambda$$'. The electric field at it

View Question A sphere, a cube and a thin circular plate all made of same material and having the same mass are heated to same tempera

View Question For emission of light, a light emitting diode (LED) is

View Question A solenoid of length $$0.4 \mathrm{~m}$$ and having 500 turns of wire carries a current $$3 \mathrm{~A}$$. A thin coil h

View Question In semiconductors at room temperature,

View Question Considering earth to be a sphere of radius '$$R$$' having uniform density '$$\rho$$', then value of acceleration due to

View Question The equation of the wave is $$\mathrm{Y}=10 \sin \left(\frac{2 \pi \mathrm{t}}{30}+\alpha\right)$$ If the displacement i

View Question The bob of simple pendulum of length '$$L$$' is released from a position of small angular displacement $$\theta$$. Its l

View Question The value of acceleration due to gravity at a depth '$$d$$' from the surface of earth and at an altitude '$$h$$' from th

View Question A magnetic field of $$2 \times 10^{-2} \mathrm{~T}$$ acts at right angles to a coil of area $$100 \mathrm{~cm}^2$$ with

View Question In Young's double slit experiment, $$8^{\text {th }}$$ maximum with wavelength '$$\lambda_1$$' is at a distance '$$d_1$$

View Question The alternating e.m.f. induced in the secondary coil of a transformer is mainly due to

View Question The efficiency of a heat engine is '$$\eta$$' and the coefficient of performance of a refrigerator is '$$\beta$$'. Then

View Question A conducting sphere of radius $$0.1 \mathrm{~m}$$ has uniform charge density $$1.8 \mu \mathrm{C} / \mathrm{m}^2$$ on it

View Question If $$\mathrm{I}_0$$ is the intensity of the principal maximum in the single slit diffraction pattern, then what will be

View Question Two circular coils made from same wire but radius of $$1^{\text {st }}$$ coil is twice that of $$2^{\text {nd }}$$ coil.

View Question Five current carrying conductors meet at point $$\mathrm{P}$$. What is the magnitude and direction of the current in con

View Question Water rises in a capillary tube of radius '$$r$$' upto a height '$$h$$'. The mass of water in a capillary is '$$m$$'. Th

View Question A person with machine gun can fire 50 g bullets with a velocity of $$240 \mathrm{~m} / \mathrm{s}$$. A $$60 \mathrm{~kg}

View Question If '$$l$$' is the length of the open pipe, '$$r$$' is the internal radius of the pipe and '$V$ ' is the velocity of soun

View Question The angle of deviation produced by a thin prism when placed in air is '$$\delta_1$$' and that when immersed in water is

View Question A thin uniform rod of mass '$$m$$' and length '$$P$$' is suspended from one end which can oscillate in a vertical plane

View Question Magnetic field at the centre of the hydrogen atom due to motion of electron in $$\mathrm{n}^{\text {th }}$$ orbit is pro

View Question