MHT CET 2021 24th September Morning Shift

Paper was held on
Fri, Sep 24, 2021 3:30 AM

## Chemistry

Which among the following cations will form lowest stability complex if the ligand remains the same?

View Question Identify the change in colour when $$\mathrm{NaCl}$$ solution is titrated against $$\mathrm{AgNO}_3$$ solution using flu

View Question The resistance of $$0.2 \mathrm{M}$$ solution of an electrolyte is 30 ohm and conductivity is $$1.2 \mathrm{~S} \mathrm{

View Question Which from the following alloys is used in gas turbine engines?

View Question What is percent dissociation of acetic acid in it's $$0.01 \mathrm{~M}$$ solution if dissociation of acid is $$1.34 \tim

View Question How many molecules are present in $$22400 \mathrm{~cm}^3$$ of a gas at STP?

View Question Calculate osmotic pressure exerted by a solution containing $$0.822 \mathrm{~g}$$ of solute in $$300 \mathrm{~mL}$$ of w

View Question The pH of monoacidic weak base is 10.9. Calculate the percent dissociation in 0.02 M solution.

View Question Crotonyl alcohol is an example of

View Question Which among the following is haloalkyne?

View Question Which among the following is a formula of mustard gas?

View Question Identify basic $$\alpha$$-amino acid from following.

View Question A gas is allowed to expand against a constant external pressure of 2.5 bar from an initial volume 'x' L to final volume

View Question identify the species from following that exhibits no bond resonance.

View Question When a mixture of vapours of phenol and hydrogen is passed over nickel catalyst at 433 K, the product obtained is

View Question A metal has $$\mathrm{BCC}$$ structure with edge length of unit cell $$400 \mathrm{~pm}$$. Density or metal is $$4 \math

View Question Which from the following is the correct relationship between standard Gibbs energy change and standard cell potential?

View Question What type of following solution is obtained from amalgam of mercury with sodium?

View Question Lithium shows diagonal relationship with

View Question Which group from following is responsible for $$(-) \mathrm{R}$$ effect?

View Question Which of the following reaction is an example of Rosenmund reduction?

View Question Which element from following combines with hydrogen to form compound having lowest acidic strength?

View Question If decomposition of hydrogen peroxide is a first order reaction, it's rate law equation can be represented as

View Question The FCC unit cell of a compound contains ions of $$\mathrm{A}$$ at the corner and ions of $$\mathrm{B}$$ at the centre o

View Question To obtain 3-methylbutan-2-ol from acetaldehyde, the Grignard's reagent used is

View Question Which of the following is an example of symmetrical tertiary amine?

View Question Which among the following is benzylic halide?

View Question What is the geometry of $$\mathrm{SbF}_5$$ molecule?

View Question Identify the product $$(\mathrm{A})$$ obtained in the following reaction.
$$\text { Phenol + concentrated Nitric acid }

View Question What is the volume occupied by particles in $$\mathrm{BCC}$$ structure if '$$\mathrm{a}$$' is edge length of unit cell?

View Question A reaction is first order with respective to $$\mathrm{A}$$ and second order with respective to $$\mathrm{B}$$. What is

View Question Which of the following is an example of primary amine?

View Question Which among following statements is true about $$\mathrm{Na}_4\left[\mathrm{Fe}(\mathrm{CN})_6\right]$$ ?

View Question What is the change in oxidation number of nitrogen in following conversion?
$$\mathrm{NO}_3^{-} \longrightarrow \mathrm{

View Question How many values of magnetic quantum number are possible for each value of azimuthal quantum number?

View Question What is vapour pressure of solution containing 0.1 mole solute dissolved in $$1.8 \times 10^{-2} \mathrm{~kg} \mathrm{~H

View Question Which from following reagents is used to identify straight chain of glucose?

View Question Which of the following aldehyde has buttery odour?

View Question At $$300 \mathrm{~K}, 22 \mathrm{~g}$$ of $$\mathrm{CO}_2$$ gas exerts a pressure of 5 atmosphere. What is the volume of

View Question Which among the following is NOT benzylic halide?

View Question Which of the following polymers is used to obtain shopping bags?

View Question In a process, a system performs $$238 \mathrm{~J}$$ of work on it's surrounding by absorbing $$54 \mathrm{~J}$$ of heat.

View Question When $$\mathrm{x} \mathrm{kJ}$$ heat is provided to a system, work equivalent to $$\mathrm{y} \mathrm{J}$$ is done on it

View Question When 2-Chlorobutane is boiled with concentrated alcoholic solution of KOH, the major product formed is

View Question Which element from following is a soft element?

View Question For the reaction $$\mathrm{A}+\mathrm{B} \rightarrow$$ product, rate of reaction is $$3.6 \times 10^{-2} \mathrm{mol~dm}

View Question Identify conjugate acid-base pair in the following reaction.
$$
\mathrm{HCl}_{(\mathrm{aq})}+\mathrm{H}_2 \mathrm{O}_{(l

View Question The conductivity of $$0.04 \mathrm{~M} \mathrm{~BaCl}_2$$ solution is $$0.0112 \Omega^{-1} \mathrm{~cm}^{-1}$$ at $$25^{

View Question Which from following polymers is used to manufacture tyres?

View Question Which among following is an example of cyclic amide?

View Question ## Mathematics

$$\int_\limits0^4 x[x] d x=$$
(where $$[\mathrm{x}]$$ denotes greatest integer function not greater than $$\mathrm{x}]$$

View Question $$\lim _\limits{x \rightarrow 1} \frac{a b^x-a^x b}{x^2-1}=$$

View Question The maximum area of the rectangle that can be inscribed in a circle of radius $$r$$ is

View Question The difference between the maximum values of $${ }^6 C_r$$ and $${ }^n C_r$$ is 16, then $$n=$$

View Question If $$f(x)=\frac{x}{2 x+1}$$ and $$g(x)=\frac{x}{x+1}$$, then $$(f \circ g)(x)=$$

View Question If the population grows at the rate of $$8 \%$$ per year, then the time taken for the population to be doubled is
(Given

View Question If the lines respresented by $$a x^2-b x y-y^2=0$$ make angle $$\alpha$$ and $$\beta$$ with the positive direction of $$

View Question If the probability distribution function of a random variable X is given as
.tg {border-collapse:collapse;border-spaci

View Question The particular solution of the differential equation $$
\frac{d y}{d x}=\frac{x+y+1}{x+y-1}
$$ when $$
\mathrm{x}=\frac{

View Question If $$a \sin \theta=b \cos \theta$$, where $$a, b \neq 0$$, then $$a\cos 2 \theta+b \sin 2 \theta=$$

View Question $$\vec{a}=4 \hat{i}+13 \hat{j}-18 \hat{k}, \vec{b}=\hat{i}-2 \hat{j}+3 \hat{k}$$ and $$\vec{c}=2 \hat{i}+3 \hat{j}-4 \ha

View Question If the lines $$\frac{x-1}{2}=\frac{y+1}{3}=\frac{z-1}{4}$$ and $$\frac{x-2}{1}=\frac{y+m}{2}=\frac{z-2}{1}$$ intersect e

View Question The length of perpendicular drawn from the point $$2 \hat{i}-\hat{j}+5 \hat{k}$$ to the line $$\overline{\mathrm{r}}=(11

View Question $$
\text { If } u=\cos ^3 x, v=\sin ^3 x \text {, then }\left(\frac{d v}{d u}\right)_{x=\frac{\pi}{4}} \text { is equal

View Question The arithmetic mean of marks in Mathematics for four divisions A, B, C and D were $$80,75,70$$ and 72 respectively. Thei

View Question If the angle between the lines is $$\frac{\pi^{\mathrm{C}}}{4}$$ and slope of one of the lines is $$\frac{1}{2}$$, then

View Question $$f(x)=\log |\sin x|$$, where $$x \in(0, \pi)$$ is strictly increasing on

View Question The velocity of a particle at time $$t$$ is given by the relation $$v=6 t-\frac{t^2}{6}$$. Its displacement S is zero at

View Question The order of the differential equation whose solution is $$y=a \cos x+b \sin x+c e^{-x}$$ is

View Question The sqaure roots of the complex number $$(-5-12 \mathrm{i})$$ are

View Question If $$\vec{a}=\hat{i}+\hat{j}+\hat{k}, \vec{c}=\hat{j}-\hat{k}, \vec{a} \times \bar{b}=\bar{c}$$ and $$\vec{a} \cdot \vec

View Question Equation of the plane passing through the point $$(1,2,3)$$ and parallel to the plane $$2 x+3 y-4 z=0
$$

View Question The negation of $$p \wedge(q \rightarrow r)$$ is

View Question The general solution of the differential equation $$(2 y-1) d x-(2 x+3) d y=0$$ is

View Question If $$y=\log _{10} x+\log _x 10+\log _x x+\log _{10} 10$$, then $$\frac{d y}{d x}=$$

View Question If the vectors $$\vec{a}=2 \hat{i}+p \hat{j}+4 \hat{k}$$ and $$\vec{b}=6 \hat{i}-9 \hat{j}+q \hat{k}$$ are collinear, th

View Question If $$y=\tan ^{-1}\left[\frac{\log \left(\frac{e}{x^2}\right)}{\log \left(e x^2\right)}\right]+\tan ^{-1}\left[\frac{3+2

View Question If the function
$$\begin{array}{rlrl}
f(x) & =3 a x+b, & & \text { for } x1
\end{array}$$
is continuous at $$x=1$$. Then

View Question If $$\mathrm{P}(\mathrm{A})=\frac{3}{10}, \mathrm{P}(\mathrm{B})=\frac{2}{5}, \mathrm{P}(\mathrm{A} \cup \mathrm{B})=\fr

View Question $$\int_\limits0^{\pi / 2} \log \left(\frac{4+3 \sin x}{4+3 \cos x}\right) d x=$$

View Question Area bounded by the lines $$y=x, x=-1, x=2$$ and the $$X$$-axis is

View Question $$\int \frac{\mathrm{dx}}{32-2 \mathrm{x}^2}=\mathrm{A} \log (4-\mathrm{x})+\mathrm{B} \log (4+\mathrm{x})+\mathrm{c}$$,

View Question If $$\mathrm{A}$$ and $$\mathrm{B}$$ are the foot of the perpendicular drawn from the point $$\mathrm{Q}(\mathrm{a}, \ma

View Question If $$|\vec{a}|=4,|\vec{b}|=5$$, then the values of $$k$$ for which $$\vec{a}+k \vec{b}$$ is perpendicular to $$\vec{a}-k

View Question If $$\mathrm{p}$$ : It is raining and $$\mathrm{q}$$ : It is pleasant, then the symbolic form of "It is neither raining

View Question Equationof the chord of the circle $$x^2+y^2-4 x-10 y+25=0$$ having mid-point $$(1,2)$$ is

View Question $$\int \cos ^3 x \cdot e^{\log (\sin x)} d x=$$

View Question The probability distribution of a discrete random variable X is
.tg {border-collapse:collapse;border-spacing:0;}
.tg t

View Question If $$\mathrm{A}=(-2,2,3), \mathrm{B}=(3,2,2), \mathrm{C}=(4,-3,5)$$ and $$\mathrm{D}=(7,-5,-1)$$ Then the projection of

View Question $$\text { If } A=\left[\begin{array}{ll}
2 & -2 \\
2 & -3
\end{array}\right], B=\left[\begin{array}{cc}
0 & -1 \\
1 & 0

View Question The value of $$\sin ^{-1}\left(\frac{-1}{2}\right)+\sin ^{-1}\left(\frac{-\sqrt{3}}{2}\right)$$ is,

View Question If one of the lines given by $$k x^2+x y-y^2=0$$ bisect the angle between the co-ordinate axes then the values of $$k$$

View Question If $$A=\left[\begin{array}{lll}1 & 2 & 3 \\ 1 & 1 & a \\ 2 & 4 & 7\end{array}\right]$$ and $$B=\left[\begin{array}{ccc}1

View Question The differential equation of the family of parabolas with focus at the origin and the $$X$$-axis a axis, is

View Question A die is thrown four times. The probability of getting perfect square in at least one throw is

View Question For a $$3 \times 3$$ matrix $$\mathrm{A}$$, if $$\mathrm{A}(\operatorname{adj} \mathrm{A})=\left[\begin{array}{ccc}-10 &

View Question In any $$\triangle A B C$$, with usual notations, $$c(a \cos B-b \cos A)=$$

View Question If in a $$\triangle A B C$$, with usual notations, $$\mathrm{a}^2, \mathrm{~b}^2, \mathrm{c}^2$$ are in A.P. then $$\fra

View Question The common region of the solutions of the inequations $$x+2 y \geq 4,2 x-y \leq 6$$ and $$x, y>0$$ is

View Question If $$\int \frac{(\cos x-\sin x)}{8-\sin 2 x} d x=\frac{1}{p} \log \left[\frac{3+\sin x+\cos x}{3-\sin x-\cos x}\right]+c

View Question ## Physics

Two identical particles each of mass '$$m$$' are separated by a distance '$$d$$'. The axis of rotation passes through th

View Question An electron makes a transition from an excited state to the ground state of a hydrogen like atom. Out of the following s

View Question If the horizontal velocity given to a satellite is greater than critical velocity but less than the escape velocity at t

View Question Two identical springs of constant '$$\mathrm{K}$$' are connected in series and parallel in shown in figure. A mass '$$\m

View Question The radii of curvature of both the surfaces of a convex lens of focal length '$$\mathrm{f}$$' and focal power '$$\mathrm

View Question A photon has wavelength $$3 \mathrm{~nm}$$, then its momentum and energy respectively will be $$[\mathrm{h}=6.63 \times

View Question A stone is projected vertically upwards with velocity 'V. Another stone of same mass is projected at an angle fo $$60^{\

View Question A glass slab has refractive index '$$\mu$$' with respect to air and the critical angle for a ray of light in going from

View Question A glass tube of uniform cross-section is connected to a tap with a rubber tube. The tap is opened slowly. Initially the

View Question A sonometer wire of length 25 cm vibrates in unison with a tuning fork. When its length is decreased by 1 cm, 6 beats ar

View Question The plates of a parallel plate capacitor of capacity '$$\mathrm{C}_1$$' are moved closer together until they ant half th

View Question A p-n junction photodiode is fabricated from a semiconductor with a band gap of $$2.5 \mathrm{~eV}$$. It can detect a si

View Question Two tuning forks of frequencies $$320 \mathrm{~Hz}$$ and $$480 \mathrm{~Hz}$$ are sounded together to produce sound wave

View Question A monoatomic ideal gas initially at temperature $$\mathrm{T}_1$$ is enclosed in a cylinder fitted with 8 frictionless pi

View Question For a monoatomic gas, the work done at constant pressure is '$$\mathrm{W}$$' The heat supplied at constant volume for th

View Question A thin metal disc of radius 'r' floats on water surface and bends the surface downwards along the perimeter making an a

View Question A particle performing linear S.H.M. of amplitude $$0.1 \mathrm{~m}$$ has displacement $$0.02 \mathrm{~m}$$ and accelerat

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

View Question A step up transformer operates on $$220 \mathrm{~V}$$ and supplies current of $$2 \mathrm{~A}$$. The ratio of primary an

View Question The ratio of maximum to minimum wavelength in Balmer series of hydrogen atom is

View Question The work done in blowing a soap bubble of volume '$$\mathrm{V}$$' is '$$\mathrm{W}$$'. The work required to blow a soap

View Question A current carrying loop is placed in a uniform magnetic field. The torque acting on the loop does not depend upon

View Question Let A, B and C be the three points in a uniform electric field $$\text { ( } \overrightarrow{\mathrm{E}})$$ as shown. Th

View Question For the output of the following logic circuit to be 'I', the values of inputs A and B should be respectively

View Question In photoelectric experiment keeping the frequency of incident radiation and accelerating potential fixed, if the intensi

View Question In Young's double slit experiment, in an interference pattern, a minimum is observed exactly in front of one slit. The d

View Question A beam of light having wavelength $$5400 \mathrm{~A}$$ from a distant source falls on a single slit $$0.96 \mathrm{~mm}$

View Question In the part of an a.c. circuit as shown, the resistance $$R=0.2 \Omega$$. At a certain instant $$(\mathrm{V_A-V_B})= 0.5

View Question In the circuit shown in the figure, a.c. source gives voltage $$\mathrm{V}=20 \cos (2000 \mathrm{t})$$. Impedance and r.

View Question When an air column in a pipe open at both ends vibrates such that four antinodes and three nodes are formed, then the co

View Question Two identical ideal diodes are connected to an ammeter and a d.c source (1 volt) as shown. In which one of the following

View Question The period of revolution of planet $$\mathrm{A}$$ around the sun is 8 times that of planet $$\mathrm{B}$$. How many time

View Question Two identical capacitors have the same capacitance '$$\mathrm{C}$$'. One of them is charged to potential '$$\mathrm{V_1}

View Question A spring balance is attached to the ceiling of a lift. A man hangs his bag on the spring and the spring balance reads $$

View Question In a potentiometer experiement, when three cells $$\mathrm{A}, \mathrm{B}$$ and $$\mathrm{C}$$ are connected in series,

View Question A current '$$I$$' is flowing in a conductor of length '$$L$$' when it is bent in the form of a circular loop, its magnet

View Question Two long conductors, separated by a distance '$$\mathrm{d}$$' carry currents '$$\mathrm{I}_1$$' and '$$\mathrm{I}_2$$' i

View Question A body attached to one end of a string performs motion along a vertical circle. Its centripetal acceleration, when the s

View Question A coil has an area $$0.06 \mathrm{~m}^2$$ and it has 600 turns. After placing the coil in a magnetic field of strength $

View Question . If the current of '$$I$$' A gives rise to a magnetic flux '$$\phi$$' through a coil having '$$N$$' turns then mangetic

View Question An ideal gas with pressure $$\mathrm{P}$$, volume $$\mathrm{V}$$ and temperature $$\mathrm{T}$$ is expanded isothermally

View Question Which graph shows the correct variation of r.m.s. current 'I' with frequency 'f' of a.c. in case of (LCR) parallel reson

View Question At what temperature does the average translational kinetic energy of a molecule in a gas becomes equal to kinetic energy

View Question The temperature difference between two sides of an iron plate, $$1.8 \mathrm{~cm}$$ thick is $$9^{\circ} \mathrm{C}$$. H

View Question Internal energy of $$n_1$$ moles of hydrogen at temperature '$$T$$' is equal to internal energy of '$$n_2$$' moles of he

View Question A body of mass '$$\mathrm{m}$$' and radius of gyration '$$\mathrm{K}$$' has an angular momentum $$\mathrm{L}$$. Its angu

View Question Two beams of light having intensities I and 4I interfere to produce a fringe pattern on a screen. The phase difference b

View Question A body is executing S.H.M. under the action of force having maximum magntude $$50 \mathrm{~N}$$. When its energy is half

View Question The peak value of an alternating emf '$$\mathrm{e}$$' given by $$\mathrm{e}=\mathrm{e}_0 \cos \omega \mathrm{t}$$ is 10

View Question The wavelength of sound in any gas depends upon

View Question