MHT CET 2020 16th October Morning Shift
Paper was held on Fri, Oct 16, 2020 3:30 AM
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Chemistry

A sample of gas absorbs $$4000 \mathrm{~kJ}$$ of heat and surrounding does $$2000 \mathrm{~J}$$ of work on sample. What
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What is the value of $$\mathrm{C}-\mathrm{O}-\mathrm{H}$$ bond angle in $$\mathrm{CH}_3-\mathrm{OH}$$ ?
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What is the molarity of solution containing $$3.2 \mathrm{~g}$$ of $$\mathrm{NaOH}$$ (molar mass $$40 \mathrm{~g} \mathr
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A metallic element crystallises in simple cubic lattice. If edge length of the unit cell is $$3\mathop A\limits^o$$, wit
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Which among the following compounds belongs to lipids?
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Which of the following alcohols needs acidic $$\mathrm{KMnO}_4$$ to convert it into aldehyde or ketone?
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What is the bond order of B$$_2$$ molecule?
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Which among the following polymers is obtained from styrene and 1-3-butadiene?
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What is the oxidation number of As in H$$_3$$AsO$$_3$$ ?
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Identify the product '$$A$$' in the following reaction. $$\text { Aniline } \xrightarrow[\text { Pyridine }]{\left(\math
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Which of the following molecule contain $$50 \%$$ p-character of hybrid orbital in C atom?
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The reaction $$2 \mathrm{R}-\mathrm{Cl}+\mathrm{CoF}_2 \longrightarrow 2 \mathrm{R}-\mathrm{F}+\mathrm{CoCl}_2$$ is an e
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What is the effective atomic number of $$\mathrm{Zn}$$ in $$\left[\mathrm{Zn}\left(\mathrm{NH}_3\right)_4\right] \mathrm
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Alkyl cynides on reduction by sodium and ethanol give primary amines. This reaction is called as
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Which among the following compounds has highest boiling point?
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Identify the product obtained, when benzamide is treated with bromine and aqueous sodium hydroxide.
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Which among the following methods is not suitable for the preparation of alkyl chlorides?
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A solution has an osmotic pressure of '$$x$$' $$\mathrm{kPa}$$ at $$300 \mathrm{~K}$$ having 1 mole of solute in $$10.5
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Identify the catalyst $$X$$ used in following reaction. $$\mathrm{CH}_3 \mathrm{CH}_2 \mathrm{Br}+2[\mathrm{H}] \xrighta
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Which of the following statements is true for carbonyl group?
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Mixture of iodine and sodium sulphate is separated by ............... .
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If concentration of reactant '$$A$$' is increased by 10 times the rate of reaction becomes 100 times. What is the order
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Which among the following is non-poisonous in nature?
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A compound has fcc structure. If density of unit cell is $$3.4 \mathrm{~g} \mathrm{~cm}^{-3}$$, what is the edge length
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Identify the element having highest enthalpyot atomisation from following.
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What type of inter molecular force is present between magnesium chloride and water?
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Xenon crystallises in fcc lattice and the edge length of unit cell is 620 pm. What is the radius of Xe atom?
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How many electrons are involved in the reaction, when $$0.40 \mathrm{~F}$$ of electricity is passed through an electroly
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Which among the following lanthanoids, shows only +3 oxidation state?
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Which among the following is used as refrigerants and for air conditioning?
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Identify the tetradentate ligand from the following.
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If $$38.55 \mathrm{~kJ}$$ of heat is absorbed, when 6.0 of $$\mathrm{O}_2$$ react $$\mathrm{CIF}$$ according to reaction
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A first order reaction has rate constant $$1 \times 10^{-2} \mathrm{~s}^{-1}$$. What time will, it take for $$20 \mathrm
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Which of the following salt contain interstitial water molecule in it?
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Which of the following is not present in baking powder?
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Identify the enzyme that catalyses the reaction of $$\mathrm{CO}_2$$ with water in huma body.
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Which among the following pairs of halogen forms the interhalogen compound of the type $$X X^{\prime}{ }_7$$ ?
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Which among the following is a biodegradable polymer?
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Which among the following ore is concentrated by froth floatation process?
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Which of the following is called as mandelonitrile?
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Which among the following group-15 elements does not react with concentrated sulphuric acid?
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What will be the concentration of $$\mathrm{NaCl}$$ solution, if the molar conductivity and conductivity of $$\mathrm{Na
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Which among the following is an example of allylic alcohol?
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Which among the following amino acids has lowest molar mass?
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Identify the symbol used for water according to Dalton's atomic theory?
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An ideal gas expands isothermally and reversibly from $$10 \mathrm{~m}^3$$ to $$20 \mathrm{~m}^3$$ at $$300 \mathrm{~K}$
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Which among the following type of linkages is present in cellulose?
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Zirconium is refined by
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If a centimolal aqueous solution of K$$_3$$[Fe(CN)$$_6$$] has degree of dissociation 0.78. What is the value of van't Ho
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Which among the following is antioxident?
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Mathematics

In a triangle $$A B C$$ with usual notations, if $$\frac{\cos A}{a}=\frac{\cos B}{b}=\frac{\cos C}{c}$$, then area of tr
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If $$\frac{x}{\sqrt{1+x}}+\frac{y}{\sqrt{1+y}}=0, x \neq y$$, then $$(1+x)^2 \frac{d y}{d x}=$$
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If $$\int \frac{\sin \theta}{\sin 3 \theta} d \theta=\frac{1}{2 k} \log \left|\frac{k+\tan \theta}{k-\tan \theta}\right|
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The probability that bomb will miss the target is 0.2. Then, the probability that out of 10 bombs dropped exactly 2 will
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The polar co-ordinates of the point whose cartesian co-ordinates are $$(-2,-2)$$, are given by
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If $$\int \sqrt{x-\frac{1}{x}}\left(\frac{x^2+1}{x^2}\right) d x=\frac{2}{3}\left(x-\frac{1}{x}\right)^k+c$$, then value
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$$\int_0^a \sqrt{\frac{x}{a-x}} d x=$$
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The minimum value of $$Z=5 x+8 y$$ subject to $$x+y \geq 5,0 \leq x \leq 4, y \geq 2, x \geq 0, y \geq 0$$ is
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The sum of the cofactors of the elements of second row of the matrix $$\left[\begin{array}{rrr}1 & 3 & 2 \\ -2 & 0 & 1 \
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If the foot of perpendicular drawn from the origin to the plane is $$(3,2,1)$$, then the equation of plane is
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If $$f(x)=\log (\sin x), x \in\left[\frac{\pi}{6}, \frac{5 \pi}{6}\right]$$, then value of '$$c$$' by applying LMVT is
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The value of $$\sin ^{-1}\left(-\frac{1}{2}\right)+\cos ^{-1}\left(-\frac{\sqrt{3}}{2}\right)$$ is
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If $$p \rightarrow(\sim p \vee q)$$ is false, then the truth values of $$p$$ and $$q$$ are respectively
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If the equation $$k x y+5 x+3 y+2=0$$ represents a pair of lines, then $$k=$$
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If $$(a,-2 a), a>0$$ is the mid-point of a line segment intercepted between the co-ordinate axes, then the equation of t
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If the vectors $$\hat{\mathbf{i}}+\hat{\mathbf{j}}+\hat{\mathbf{k}}, \hat{\mathbf{i}}-\hat{\mathbf{j}}+\hat{\mathbf{k}}$
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The letters of the word 'LOGARITHM' are arranged at random. The probability that arrangement starts with vowel and end w
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If $$\sqrt{\frac{x}{y}}+\sqrt{\frac{y}{x}}=4$$, then $$\frac{d y}{d x}=$$
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If $$x \cos \theta+y \sin \theta=5, x \sin \theta-y \cos \theta=3$$, then the value of $$x^2+y^2=$$
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The area of the region bounded by the curve $$y=4 x^3-6 x^2+4 x+1$$ and the lines $$x=1, x=5$$ and $$X$$-axis is
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$$\int_\limits2^3 \frac{x}{x^2-1} d x=$$
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The angles between the lines $$\mathbf{r}=(\hat{\mathbf{i}}+2 \hat{\mathbf{j}}+3 \hat{\mathbf{k}})+\lambda(\hat{\mathbf{
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The p.d.f of c.r.v $$X$$ is given by $$f(x)=\frac{x+2}{18}$$, if $$-2
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The approximate value of the function $$f(x)=x^3-3 x+5$$ at $$x=1.99$$ is
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If for an arithmetic progression, 9 times nineth term is equal to 13 times thirteenth term, then value of twenty second
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If $$A=\left[\begin{array}{rrr}2 & 0 & -1 \\ 5 & 1 & 0 \\ 0 & 1 & 3\end{array}\right]$$ and $$A^{-1}=\left[\begin{array}
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The differential equation obtained from the function $$y=a(x-a)^2$$ is
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In a quadrilateral $$ABCD, M$$ and $$N$$ are the mid-points of the sides $$A B$$ and $$C D$$ respectively. If $$\mathbf{
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If $$f(x)=\log (\sec x+\tan x)$$, then $$f^{\prime}\left(\frac{\pi}{4}\right)=$$
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If $$f(x)=\frac{2 x+3}{3 x-2}, x \neq \frac{2}{3}$$, then the function $$f$$ of is
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$$\int \cot x \cdot \log [\log (\sin x)] d x=$$
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If $$\sin \theta=-\frac{12}{13}, \cos \phi=-\frac{4}{5}$$ and $$\theta, \phi$$ lie in the third quadrant, then $$\tan (\
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The symbolic form of the following circuit is (where $$p, q$$ represents switches $$S_1$$ and $$s_2$$ closed respectivel
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The differential equation of all lines perpendicular to the line $$5 x+2 y+7=0$$ is
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$$\int_\limits0^{\frac{\pi}{2}} \log \left[\sqrt{\frac{1-\cos 2 x}{1+\cos 2 x}}\right] d x=$$
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If $$[\vec{a}\ \vec{b}\ \vec{c}\ ] \neq 0$$, then $$\frac{[\vec{a}\ +\vec{b}\ \vec{b}\ +\vec{c}\ \vec{c}\ +\vec{a}\ ]
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The cartesian co-ordinates of the point on the parabola $$y^2=x$$ whose parameter is $$-\frac{4}{3}$$ are
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The angle between the line $$r =(\hat{\mathbf{i}}+\hat{\mathbf{j}}-\hat{\mathbf{k}})+\lambda(3 \hat{\mathbf{i}}+\hat{\ma
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The bacteria increases at the rate proportional to the number of bacteria present. If the original number '$$N$$' double
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If $$A=\{x, y, z\}, B=\{1,2\}$$, then the total number of relations from set $$A$$ to set $$B$$ are :
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The equation of tangent at $$P(-4,-4)$$ on the curve $$x^2=-4 y$$ is
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The rate of decay of certain substance is directly proportional to the amount present at that instant. Initially, there
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The direction cosines of a line which is perpendicular to lines whose direction ratios are $$3,-2,4$$ and $$1,3,-2$$ are
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The points of discontinuity of the function $$\begin{aligned} f(x) & =\frac{1}{x-1}, \text { if } 0 \leq x \leq 2 \\ & =
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If the angle between the lines given by the equation $$x^2-3 x y+\lambda y^2+3 x-5 y+2=0, \lambda \geq 0$$, is $$\tan ^{
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If the p.m.f of a. r.v. $$X$$ is given by $$P(X=x)=\frac{{ }^5 C_x}{2^5}$$ if $$x=0,1,2, \ldots \ldots . .5=0$$, 0 , oth
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The radius of the circle passing through the points $$(5,7),(2,-2)$$ and $$(-2,0)$$ is
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The integrating factor of the differential equation $$\left(1+x^2\right) d t=\left(\tan ^{-1} x-t\right) d x$$ is
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In a triangle $$A B C$$, if $$\frac{\sin A-\sin C}{\cos C-\cos A}=\cot B$$, then $$A, B, C$$, are in
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If the lines given by $$\frac{x-1}{2 \lambda}=\frac{y-1}{-5}=\frac{z-1}{2}$$ and $$\frac{x+2}{\lambda}=\frac{y+3}{\lambd
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Physics

An ammeter of resistance $$20 \Omega$$ gives full scale deflection, when $$1 \mathrm{~mA}$$ current flows through it. Wh
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An alternating emf of $$0.2 \mathrm{~V}$$ is applied across an L-C-R series circuit having $$R=4 \Omega, C=80 \mu \mathr
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An electron $$(e)$$ is revolving in a circular orbit of radius $$r$$ in hydrogen atom. The angular momentum of the elect
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In non-uniform circular motion, the ratio of tangential to radial acceleration is ($$r=$$ radius, $$\alpha=$$ angular ac
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In common emitter amplifier, input resistance is $$1000 \Omega$$, peak value of input signal voltage is $$5 \mathrm{~mV}
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A simple pendulum of length $$L$$ has mass $$m$$ and it oscillates freely with amplitude $$A$$. At extreme position, its
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The extension in a wire obeying Hooke's law is $$x$$. The speed of sound in the stretched wire is $$v$$. If the extensio
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Let force $$F=A \sin (C t)+B \cos (D x)$$, where $$x$$ and $$t$$ are displacement and time, respectively. The dimensions
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Two vectors of same magnitude have a resultant equal to either of the two vectors. The angle between two vectors is
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If there is a change of angular momentum from $$1 \mathrm{j}$$-$$\mathrm{s}$$ to $$4 \mathrm{j}$$-$$\mathrm{s}$$ in $$4
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For a gas, $$\frac{R}{C_V}=0.4$$, where $$R$$ is universal gas constant and $$C_V$$ is the molar specific heat at consta
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The maximum velocity of the photoelectron emitted by the metal surface is $$v$$. Charge and mass of the photoelectron is
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Energy of the incident photon on the metal surface is $$3 W$$ and then $$5 W$$, where $$W$$ is the work function for tha
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Water rises in a capillary tube of radius $$r$$ upto a height $$h$$. The mass of water in a capillary is $$m$$. The mass
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Two waves $$Y_1=0.25 \sin 316 t$$ and $$Y_2=0.25 \sin 310 t$$ are propagating along the same direction. The number of be
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A small metal sphere of mass $$M$$ and density $$d_1$$ when dropped in a jar filled with liquid moves with terminal velo
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The capacitance of a parallel plate capacitor with air as medium is $$3 \mu \mathrm{F}$$. With the introduction of a die
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The mass of earth is 81 times the mass of the moon and the distance between their centres is $$R$$. The distance from th
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A coil of $$n$$ turns and resistance $$R \Omega$$ is connected in series with a resistance $$\frac{R}{2}$$. The combinat
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Two identical bar magnets each of magnetic moment $$M$$, separated by some distance are kept perpendicular to each other
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A bullet of mass $$m$$ moving with velocity $$v$$ is fired into a wooden block of mass $$M$$, If the bullet remains embe
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In diffraction experiment, from a single slit, the angular width of the central maxima does not depend upon
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A vehicle of mass $$m$$ is moving with momentum $$p$$ on a rough horizontal road. The coefficient of friction between th
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In Young's double slit experiment green light is incident on the two slits. The interference pattern is observed on a sc
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Two identical strings of length $$l$$ and $$2l$$ vibrate with fundamental frequencies $$\mathrm{N} \mathrm{~Hz}$$ and $$
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In amplitude modulation,
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When a photon enters glass from air, which one of the following quantity does not change?
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Two wires $$A$$ and $$B$$ of equal lengths are connected in left and right gap of a meter bridge, null point is obtained
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When a small amount of impurity atoms are added to a semiconductor, then generally its resistivity
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When open pipe is closed from one end third overtone of closed pipe is higher in frequency by $$150 \mathrm{~Hz}$$, then
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A ray of light is incident at an angle $$i$$ on one face of prism of small angle $$A$$ and emerges normally from the oth
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Two small drops of mercury each of radius $$r$$ coalesce to form a large single drop. The ratio of the total surface ene
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A solid cylinder of radius $$r$$ and mass $$M$$ rolls down an inclined plane of height $$h$$. When it reaches the bottom
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A potentiometer wire is $$4 \mathrm{~m}$$ long and potential difference of $$3 \mathrm{~V}$$ is maintained between the e
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A charged particle is moving in a uniform magnetic field in a circular path of radius $$R$$. When the energy of the part
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The density of a metal at normal pressure $$p$$ is $$\rho$$. When it is subjected to an excess pressure, the density bec
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For a particle performing SHM when displacement is $$x$$, the potential energy and restoring force acting on it is denot
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Surface density of charge on a charged conducting sphere of radius $$R$$ in terms of electric field intensity $$E$$ at a
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A body is thrown from the surface of the earth velocity $$\mathrm{v} / \mathrm{s}$$. The maximum height above the earth'
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Using Bohr's quantisation condition, what is the rotational energy in the second orbit for a diatomic molecule? ($$I=$$
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A monoatomic gas of pressure $$p$$ having volume $$V$$ expands isothermally to a volume $$2V$$ and then adiabatically to
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A particle is moving in a radius $$R$$ with constant speed $$v$$. The magnitude of average acceleration after half revol
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The magnifying power of a telescope is high, if its objective and eyepiece have respectively
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The ratio of speed of an electron in the ground state in the Bohr's first orbit of hydrogen atom to velocity of light $$
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A charge $$q$$ moves with velocity $$v$$ through electric field $$\mathrm{E}$$ as well as magnetic field (B). Then, the
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The force acting on the electrons in hydrogen atom (Bohr's theory) is related to the principle quantum number $$n$$ as
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A body of mass $$2 \mathrm{~kg}$$ is acted upon by two forces each of magnitude $$1 \mathrm{~N}$$ and inclined at $$60^{
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Two rods of same material and volume having circular cross-section are subjected to tension $$T$$. Within the elastic li
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An iron rod is placed parallel to magnetic field of intensity $$2000 \mathrm{~A} / \mathrm{m}$$. The magnetic flux throu
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A moving body is covering distances which are proportional to square of the time. Then, the acceleration of the body is
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