KCET 2020

Paper was held on
Thu, Jul 30, 2020 4:30 AM

## Chemistry

Copper is extracted from copper pyrites by

View Question Function of potassium ethyl xanthate in froth floatation process is to make the ore

View Question Sulphide ore on roasting gives a gas $$X$$. $$X$$ reacts with $$\mathrm{Cl}_2$$ in the presence of activated charcoal to

View Question Aqueous solution of a salt $$(A)$$ forms a dense white precipitate with $$\mathrm{BaCl}_2$$ solution. The precipitate di

View Question Bond angle is $$\mathrm{PH}_4^{+}$$ is more than that of $$\mathrm{PH}_3$$. This is because

View Question Incorrectly matched pair is

View Question Phosphorus pentachloride

View Question Identify the set of paramagnetic ions among the following.

View Question How many moles of acidified $$\mathrm{K}_2 \mathrm{Cr}_2 \mathrm{O}_7$$ is required to liberate 6 moles of $$\mathrm{I}_

View Question For $$\mathrm{Cu}_2 \mathrm{Cl}_2$$ and $$\mathrm{CuCl}_2$$ in aqueous medium, which of the following statement is corre

View Question The coordination number of $$\mathrm{Fe}$$ and $$\mathrm{Co}$$ in the complex ions, $$\left.\mathrm{Fe}\left(\mathrm{C}_

View Question Number of stereoisomers exhibited by $$\left[\mathrm{Co}(\mathrm{en})_2 \mathrm{Cl}_2\right]^{+}$$ is

View Question Give the IUPAC name of $$\left[\mathrm{Pt}\left(\mathrm{NH}_3\right)_4\right]\left[\mathrm{Pt} \mathrm{Cl}_4\right]$$ is

View Question Prolonged exposure of chloroform in humans may cause damage to liver. It is due to the formation of the following compou

View Question Which of the following halide shows highest reactivity towards $$\mathrm{S}_{\mathrm{N}} 1$$ reaction?

View Question In the reaction,
The number of possible isomers for the organic compound X is

View Question Which of the following on heating gives an ether as major products?
(P) $$\mathrm{C}_6 \mathrm{H}_5 \mathrm{CH}_2 \mathr

View Question The steps involved in the conversion of propan -2-ol to propan -1-ol are in the order

View Question Which of the following is the strongest base?

View Question The product 'P' is

View Question Which of the following has the lowest boiling point?

View Question The carbonyl compound that does not undergo aldol condensation is

View Question The final product for the reaction is

View Question Hinsberg's reagent is

View Question Which one of the following vitamins is not stored in adipose tissue?

View Question Hypothyroidism is caused by the deficiency of

View Question $$\mathrm{C}_1-\mathrm{C}_4$$ glycosidic bond is not found in

View Question Which of the following polymer has strongest intermolecular forces of attraction?

View Question Which of the following monomers can undergo condensation polymerisation?

View Question A food additive that acts as an antioxidant is

View Question Which of the following is not related to drug-enzyme interaction?

View Question $$0.4 \mathrm{~g}$$ of dihydrogen is made to react with $$7.4 \mathrm{~g}$$ of dichlorine to form hydrogen chloride. The

View Question With regard to photoelectric effect, identify the correct statement among the following.

View Question The last element of the $$p$$-block in 6 th period is represented by the outer most electronic configuration.

View Question The conjugate base of $$\mathrm{NH}_3$$ is

View Question A gas mixture contains $$25 \% \mathrm{~He}$$ and $$75 \% \mathrm{~CH}_4$$ by volume at a given temperature and pressure

View Question The percentage of $$s$$-character in the hybrid orbitals of nitrogen in $$\mathrm{NO}_2^{+}, \mathrm{NO}_3^{-}$$ respect

View Question The formal charge on central oxygen atom in ozone is

View Question When the same quantity of heat is absorbed by a system at two different temperatures $$T_1$$ and $$T_2$$, such that $$T_

View Question The oxidation number of nitrogen atoms in $$\mathrm{NH}_4 \mathrm{NO}_3$$ are

View Question A Lewis acid '$$X$$' reacts with $$\mathrm{LiAlH}_4$$ in ether medium to give a highly toxic gas. This gas when heated w

View Question The oxide of potassium that does not exist is

View Question The metal that produce $$\mathrm{H}_2$$ with both dil. $$\mathrm{HCl}$$ and $$\mathrm{NaOH}(a q)$$ is

View Question Which of the following is not a pair of functional isomers?

View Question Identify 'X' in the following reaction.

View Question Which of the following is not a green house gas?

View Question A metal exists as an oxide with formula $$M_{0.96}$$ O. Metal, $$M$$ can exist as $$M^{2+}$$ and $$M^{3+}$$ in its oxide

View Question A metal crystallises in face centred cubic structure with metallic radius $$\sqrt{2} \mathop A\limits^o$$. The volume of

View Question Silicon doped with gallium forms

View Question The pair of electrolytes that posses same value for the constant $$(A)$$ in the Debye-Huckel-Onsager equation, $$\Lambda

View Question Which of the following pair of solutions is isotonic?

View Question Solute '$$X$$' dimerises in water to the extent of $$80\%$$. 2.5g of '$$X$$' in $$100 \mathrm{~g}$$ of water increases t

View Question Given $$E_{F{e^{3 + }}/F{e^{2 + }}}^o = + 0.76\,V$$ and $$E_{\mathrm{I}_2 / \mathrm{I}^{-}}^0=+0.55 \mathrm{~V}$$. The

View Question If an aqueous solution of $$\mathrm{NaF}$$ is electrolysed between inert electrodes, the product obtained at anode is

View Question In which of the following cases a chemical reaction is possible?

View Question The time required for $$60 \%$$ completion of a first order reaction is $$50 \mathrm{~min}$$. The time required for $$93

View Question For an elementary reaction $$2 A+3 B \rightarrow 4 C+D$$ the rate of appearance of $C$ at time '$$T$$' is $$2.8 \times 1

View Question The rate constant of a reaction is given by $$k=P Z e^{-E_a / R T}$$ under standard notation. In order to speed up the r

View Question A sol of $$\mathrm{AgI}$$ is prepared by mixing equal volumes of $$0.1 \mathrm{~M} \mathrm{~AgNO}_3$$ and $$0.2 \mathrm{

View Question During adsorption of a gas on a solid at low temperature

View Question ## Mathematics

If $$2^x+2^y=2^{x+y}$$, then $$\frac{d y}{d x}$$ is

View Question If $$f(x)=\sin ^{-1}\left(\frac{2 x}{1+x^2}\right)$$, then $$f^{\prime}(\sqrt{3})$$ is

View Question The right hand and left hand limit of the function are respectively.
$$f(x)=\left\{\begin{array}{cc}
\frac{e^{1 / x}-1}{

View Question If $$y=2 x^{n+1}+\frac{3}{x^n}$$, then $$x^2 \frac{d^{2 y}}{d x^2}$$ is

View Question If the curves $$2 x=y^2$$ and $$2 x y=K$$ intersect perpendicularly, then the value of $$K^2$$ is

View Question If $$(x e)^y=e^y$$, then $$\frac{d y}{d x}$$ is

View Question If the side of a cube is increased by $$5 \%$$, then the surface area of a cube is increased by

View Question The value of $$\int \frac{1+x^4}{1+x^6} d x$$ is

View Question The maximum value of $$\frac{\log _e x}{x}$$, if $$x>0$$ is

View Question The value of $$\int e^{\sin x} \sin 2 x d x$$ is

View Question The value of $$\int_{-1 / 2}^{1 / 2} \cos ^{-1} x d x$$ is

View Question If $$\int \frac{3 x+1}{(x-1)(x-2)(x-3)} d x A \log |x-1| B \log |x-2|+C \log |x-3|+C$$, then the values of $$A, B$$ and

View Question Find the value of $$\int_0^1 \frac{\log (1+x)}{1+x^2} d x$$ is

View Question The area of the region bounded by the curve $$y^2=8 x$$ and the line $$y=2 x$$ is

View Question The value of $$\int_{-\pi / 2}^{\pi / 2} \frac{\cos x}{1+e^x} d x$$ is

View Question The order of the differential equation obtained by eliminating arbitrary constants in the family of curves $$c_1 y=\left

View Question The general solution of the differential equation $$x^2 d y-2 x y d x=x^4 \cos x d x$$ is

View Question The area of the region bounded by the line $$y=2 x+1, X$$-axis and the ordinates $$x=-1$$ and $$x=1$$ is

View Question The two vector $$\hat{\mathbf{i}}+\hat{\mathbf{j}}+\hat{\mathbf{k}}$$ and $$\hat{\mathbf{i}}+3 \hat{\mathbf{j}}+5 \hat{\

View Question If $$\mathbf{a}$$ and $$\mathbf{b}$$ are unit vectors and $$\theta$$ is the angle between $$\mathbf{a}$$ and $$\mathbf{b

View Question The curve passing through the point $$(1,2)$$ given that the slope of the tangent at any point $$(x, y)$$ is $$\frac{3 x

View Question If $$|\mathbf{a}+\mathbf{b}|^2+|\mathbf{a} \cdot \mathbf{b}|^2=144|\mathbf{a}|=6$$, then $$|\mathbf{b}|$$ is equal to

View Question The point $$(1,-3,4)$$ lies in the octant

View Question If the vectors $$2 \hat{\mathbf{i}}+3 \hat{\mathbf{j}}+4 \hat{\mathbf{k}}, 2 \hat{\mathbf{i}}+\hat{\mathbf{j}}-\hat{\mat

View Question The distance of the point $$(1,2,-4)$$ from the line $$\frac{x-3}{2}=\frac{y-3}{3}=\frac{z+5}{6}$$ is

View Question The sine of the angle between the straight line $$\frac{x-2}{3}=\frac{3-y}{-4}=\frac{z-4}{5}$$ and the plane $$2 x-2 y+z

View Question If a line makes an angle of with each of $$X$$ and $$Y$$-axis, then the acute angle made by Z-axis is

View Question Corner points of the feasible region determined by the system of linear constraints are $$(0,3),(1,1)$$ and $$(3,0)$$. L

View Question The feasible region of an LPP is shown in the figure. If $$z=11 x+7 y$$, then the maximum value of $$Z$$ occurs at

View Question A die is thrown 10 times, the probability that an odd number will come up at least one time is

View Question If $$A$$ and $$B$$ are two events such that $$P(A)=\frac{1}{3}, P(B)=\frac{1}{2}$$ and $$P(A \cap B)=\frac{1}{6}$$, then

View Question Events $$E_1$$ and $$E_2$$ from a partition of the sample space $$S$$. $$A$$ is any event such that $$P\left(E_1\right)=

View Question The probability of solving a problem by three persons $$A, B$$ and $$C$$ independently is $$\frac{1}{2}, \frac{1}{4}$$ a

View Question If $$n(A)=2$$ and total number of possible relations from Set A to set B is 1024, then $$n(B)$$ is

View Question The value of $$\sin ^2 51^{\circ}+\sin ^2 39^{\circ}$$ is

View Question If $$\tan A+\cot A=2$$, then the value of $$\tan ^4 A+\cot ^4 A=$$

View Question If $$A=\{1,2,3,4,5,6\}$$, then the number of subsets of A which contain at least two elements is

View Question If $$z=x+i y$$, then the equation $$|z+1|=|z-1|$$ represents

View Question The value of $${ }^{16} C_9+{ }^{16} C_{10}-{ }^{16} C_6-{ }^{16} C_7$$ is

View Question The number of terms in the expansion of $$(x+y+z)^{10}$$ is

View Question If $$P(n): 2^n

View Question The two lines $$l x+m y=n$$ and $$l^{\prime} x+m^{\prime} y=n^{\prime}$$ are perpendicular if

View Question If the parabola $$x^2=4$$ ay passes through the point $$(2,1)$$, then the length of the latus rectum is

View Question If the sum of $$n$$ terms of an AP is given by $$S_n=n^2+n$$, then the common difference of the $$\mathrm{AP}$$ is

View Question The negation of the statement "For all real numbers $$x$$ and $$y, x+y=y+x^{\prime \prime}$$ is

View Question The standard deviation of the data 6, 7, 8, 9, 10 is

View Question $$\lim _\limits{x \rightarrow 0}\left(\frac{\tan x}{\sqrt{2 x+4}-2}\right) \text { is equal to }$$

View Question If a relation $$R$$ on the set $$\{1,2,3\}$$ be defined by $$R=\{(1,1)\}$$, then $$R$$ is

View Question Let $$f:[2, \infty) \rightarrow R$$ be the function defined $$f(x)=x^2-4 x+5$$, then the ranges of $$f$$ is

View Question If $$A, B, C$$ are three mutually exclusive and exhaustive events of an experiment such that $$P(A)=2 P(B)=3 P(C)$$, the

View Question The domain of the function defined by $$f(x)=\cos ^{-1} \sqrt{x-1}$$ is

View Question The value of $$\cos \left(\sin ^{-1} \frac{\pi}{3}+\cos ^{-1} \frac{\pi}{3}\right)$$ is
Does not exist

View Question If $$A=\left(\begin{array}{lll}0 & 0 & 1 \\ 0 & 1 & 0 \\ 1 & 0 & 0\end{array}\right)$$ then $$A^4$$ is equal to

View Question If $$A=\{a, b, c\}$$, then the number of binary operations on $$A$$ is

View Question If $$\left(\begin{array}{ll}2 & 1 \\ 3 & 2\end{array}\right) A=\left(\begin{array}{ll}1 & 0 \\ 0 & 1\end{array}\right)$$

View Question If $$f(x)=\left|\begin{array}{ccc}x^3-x & a+x & b+x \\ x-a & x^2-x & c+x \\ x-b & x-c & 0\end{array}\right|$$, then

View Question If $$A$$ and $$B$$ are square matrices of same order and $$B$$ is a skew symmetric matrix, then $$A^{\prime} B A$$ is

View Question If $$A$$ is a square matrix of order 3 and $$|A|=5$$, then $$\mid A$$ adj. $$A \mid$$ is

View Question If $$f(x)=\left\{\begin{array}{cc}\frac{1-\cos K x}{x \sin x}, & \text { if } x \neq 0 \\ \frac{1}{2}, & \text { if } x=

View Question If $$a_1 a_2 a_3 \ldots a_9$$ are in AP, then the value of $$\left|\begin{array}{lll}a_1 & a_2 & a_3 \\ a_4 & a_5 & a_6

View Question ## Physics

The value of acceleration due to gravity at a height of $$10 \mathrm{~km}$$ from the surface of earth is $$x$$. At what

View Question Young's modulus of a perfect rigid body is

View Question A wheel starting from rest gains an angular velocity of $$10 \mathrm{~rad} / \mathrm{s}$$ after uniformly accelerated fo

View Question Iceberg floats in water with part of it submerged. What is the fraction of the volume of iceberg submerged, if the densi

View Question A sphere, a cube and a thin circular plate all of same material and same mass initially heated to same high temperature

View Question In an adiabatic expansion of an ideal gas the product of pressure and volume

View Question A certain amount of heat energy is supplied to a monoatomic ideal gas which expands at constant pressure. What fraction

View Question A tray of mass $$12 \mathrm{~kg}$$ is supported by two identical springs as shown in figure. When the tray is pressed do

View Question A train whistling at constant frequency $$n$$ is moving towards a station at a constant speed $$v$$. The train goes past

View Question A point charge $$q$$ is placed at the corner of a cube of side $$a$$ as shown in the figure. What is the electric flux t

View Question The electric field lines on the left have twice the separation on those on the right as shown in figure. If the magnitud

View Question An infinitely long thin straight wire has uniform charge density of $$\frac{1}{4} \times 10^{-2} \mathrm{~cm}^{-1}$$. Wh

View Question A dipole moment $$p$$ and moment of inertia $$I$$ is placed in a uniform electric field $$\mathbf{E}$$. If it is displac

View Question The difference between equivalent capacitances of two identical capacitors connected in parallel to that in series is $$

View Question Figure shows three points $$A, B$$ and $$C$$ in a region of uniform electric field $$\mathbf{E}$$. The line $$A B$$ is p

View Question When a soap bubble is charged?

View Question A hot filament liberates an electron with zero initial velocity. The anode potential is $$1200 \mathrm{~V}$$. The speed

View Question A metal rod of length $$10 \mathrm{~cm}$$ and a rectangular cross-section of $$1 \mathrm{~cm} \times \frac{1}{2} \mathrm

View Question A car has a fresh storage battery of emf $$12 \mathrm{~V}$$ and internal resistance $$2 \times 10^{-2} \Omega$$. If the

View Question A potentiometer has a uniform wire of length $$5 \mathrm{~m}$$. A battery of emf $$10 \mathrm{~V}$$ and negligible inter

View Question The colour code for a carbon resistor of resistance $$0.2 \mathrm{k} \Omega \pm 10 \%$$ is

View Question Each resistance in the given cubical network has resistance of $$1 \Omega$$ and equivalent resistance between $$A$$ and

View Question $$I-V$$ characteristic of a copper wire of length $$L$$ and area of cross-section $$A$$ is shown in figure. The slope of

View Question In the given figure, the magnetic field at $$O$$.

View Question The magnetic field at the origin due to a current element $$i d \mathbf{l}$$ placed at a point with vector position $$\m

View Question A long cylindrical wire of radius $$R$$ carries a uniform current $$I$$ flowing through it. The variation of magnetic fi

View Question A cyclotron is used to accelerate protons $$\left({ }_1^l \mathrm{H}\right)$$ deuterons $$\left({ }_1^2 \mathrm{H}\right

View Question A paramagnetic sample shows a net magnetisation of $$8 \mathrm{Am}^{-1}$$ when placed in an external magnetic field of $

View Question The ratio of magnetic field at the centre of a current carrying circular coil to its magnetic moment is $$x$$, if the cu

View Question In a permanent magnet at room temperature

View Question A rod of length $$2 \mathrm{~m}$$ slides with a speed of $$5 \mathrm{~ms}^{-1}$$ on a rectangular conducting frame as sh

View Question The current in a coil of inductance $$0.2 \mathrm{H}$$ changes from $$5 \mathrm{~A}$$ to $$2 \mathrm{~A}$$ in $$0.5 \mat

View Question In the given circuit the peak voltage across $$C, L$$ and $$R$$ are $$30 \mathrm{~V}, 110 \mathrm{~V}$$ and $$60 \mathrm

View Question The power factor of $$R-L$$ circuit is $$\frac{1}{\sqrt{3}}$$. If the inductive reactance is $$2 \Omega$$. The value of

View Question In the given circuit, the resonant frequency is

View Question A light beam of intensity $$20 \mathrm{~W} / \mathrm{cm}^2$$ is incident normally on a perfectly reflecting surface of s

View Question An object approaches a convergent lens from the left of the lens with a uniform speed $$5 \mathrm{~m} / \mathrm{s}$$ and

View Question The refracting angle of prism is $$A$$ and refractive index of material of prism is $$\cot \frac{A}{2}$$. The angle of m

View Question The following figure shows a beam of light converging at point $$P$$. When a concave lens of focal length $$16 \mathrm{~

View Question Three polaroid sheets $$P_1, P_2$$ and $$P_3$$ are kept parallel to each other such that the angle between pass axes of

View Question Two poles are separated by a distance of $$3.14 \mathrm{~m}$$. The resolving power of human eye is $$1 \mathrm{~min}$$ o

View Question In Young's double slit experiment, the distance between the slits and the screen is $$1.2 \mathrm{~m}$$ and the distance

View Question The de-Broglie wavelength associated with electron of hydrogen atom in this ground state is

View Question The following graph represents the variation of photocurrent with anode potential for a metal surface. Here $$I_1, I_2$$

View Question The period of revolution of an electron revolving in nth orbit of $$\mathrm{H}$$-atom is proportional to

View Question Angular momentum of an electron in hydrogen atom is $$\frac{3 h}{2 \pi}$$ ($$h$$ is the Planck's constant). The KE of th

View Question A beam of fast moving alpha particles were directed towards a thin film of gold. The parts $$A, B$$ and $$C$$ of the tra

View Question Two protons are kept at a separation of $$10 \mathrm{~nm}$$. Let $$F_n$$ and $$F_e$$ the nuclear force and the electroma

View Question During a $$\beta^{-}$$-decay

View Question A radio-active elements has half-life of 15 years. What is the fraction that will decay in 30 years?

View Question A $$220 \mathrm{~V}$$ AC supply is connected between points $$A$$ and $$B$$ as shown in figure, what will be the potenti

View Question In the following circuit what are P and Q

View Question A positive hole in a semiconductor is

View Question Two long straight parallel wires are a distance $$d$$ part. They carry steady equal currents flowing out of the plane of

View Question A cylindrical wire has a mass $$(0.3 \pm 0.003) \mathrm{g}$$, radius $$(0.5 \pm 0.005) \mathrm{mm}$$ and length $$(6 \pm

View Question At a metro station, a girl walks up a stationary escalator in $$20 \mathrm{~s}$$. If she remains stationary on the escal

View Question Rain is falling vertically with a speed of $$12 \mathrm{~ms}^{-1}$$. A woman rides a bicycles with a speed of $$12 \math

View Question One end of a string of length $$l$$ is connected to a particle of mass $$m$$ and the other to a small peg on a smooth ho

View Question A body is initially at rest. It undergoes one-dimensional motion with constant acceleration. The power delivered to it a

View Question A thin uniform rectangular plate of mass $$2 \mathrm{~kg}$$ is placed in $$x y$$-plane as shown in figure. The moment of

View Question