AP EAPCET 2022 - 4th July Evening Shift

Paper was held on
Mon, Jul 4, 2022 9:30 AM

## Chemistry

The maximum number of electrons present in an orbital with $$n = 4, l = 3$$ is

View Question Which quantum number provides information about the shape of an orbital?

View Question In which of the following, elements are arranged in the correct order of their electron gain enthalpies?

View Question In second period of the long form of the periodic table an element $$X$$ has second lowest first ionisation enthalpy and

View Question The set of molecules in which the central atom is not obeying the octet rule is

View Question The formal charges of atoms (1), (2) and (3) in the ion is

View Question From the following plots, find the correct option.

View Question How many grams of Mg is required to completely reduce $$100 \mathrm{~mL}, 0.1 \mathrm{~M} \mathrm{~NO}_3^{-}$$ solution

View Question What is the oxidation state of S in the sulphur containing product of the following reaction?
$$\mathrm{SO}_3^{2-}(a q)+

View Question Observe the following properties :
Volume, enthalpy, density, temperature, heat capacity, pressure and internal energy.

View Question Match the following.
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View Question Which of the following expression is correct?

View Question The pH of 0.01 N lime water is

View Question The empirical formula of calgon is

View Question The pair of elements that form both oxides and nitrides, when burnt in air are

View Question Among $$\mathrm{P}_4, \mathrm{~S}_8$$ and $$\mathrm{N}_2$$ the elements which undergo disproportionation when heated wit

View Question Identify the correct statements about the anomalous behaviour of boron.
I. Boron trihalides can form dimeric structures.

View Question The hybridisations of carbon in graphite, diamond and $$\mathrm{C}_{60}$$ are respectively

View Question The major product of the following reaction is

View Question Identify the ortho and para-directing groups towards aromatic electrophilic substitution reactions from the following li

View Question Match List I with List II.
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View Question Which of the following solids is not a molecular solid?

View Question A solution containing 6.0 g of urea is isotonic with a solution containing 10 g of a non-electrolytic solute $$X$$. The

View Question $$x \%(w / V)$$ solution of urea is isotonic with $$4 \%$$ $$(w / V)$$ solution of a non-volatile solute of molar mass $

View Question 38.6 amperes of current is passed for 100 seconds through an aqueous $$\mathrm{CuSO}_4$$ solution using platinum electro

View Question The time required for completion of $$93.75 \%$$ of a first order reaction is $$x$$ minutes. The half-life of it (in min

View Question The macromolecular colloids of the following are
I. Starch solution
II. Sulphur sol
III. Synthetic detergent
IV. Synthet

View Question Assertion (A) Animal skins are colloidal in nature.
Reason (R) Animal skin has positively charged particles.

View Question In the reaction of phosphorus with conc. $$\mathrm{HNO}_3$$, the oxidised and reduced products respectively are

View Question Which of the following is formed when $$\mathrm{SO}_3$$ is absorbed by concentrated $$\mathrm{H}_2 \mathrm{SO}_4$$ ?

View Question Assertion (A) Transition metals and their complexes show catalytic activity.
Reason (R) The activation energy of a react

View Question The crystal field theory is successful in explaining which of the following?
I. Ligands as point charges.
II. Formation

View Question Pernicious anemia is caused due to deficiency of which vitamin ?

View Question Which of the following vitamins cannot be stored in the body?

View Question Finkelstein reaction is used for the synthesis of

View Question Which among the following will have highest density?

View Question Identify the major product (Y) from the following reaction,

View Question An aryl carboxylic acid on treatment with sodium hydrogen carbonate liberates a gaseous molecule. Identify the gas molec

View Question Identify the major product of the following reaction.

View Question Identify the major product of the following reaction,

View Question ## Mathematics

$$\left\{x \in R / \frac{\sqrt{|x|^2-2|x|-8}}{\log \left(2-x-x^2\right)}\right.$$ is a real number $$\}=$$

View Question The domain of the real valued function $$f(x)=\sin \left(\log \left(\frac{\sqrt{4-x^2}}{1-x}\right)\right.$$ is

View Question If $$A=\left[\begin{array}{cc}2 & -3 \\ -4 & 1\end{array}\right]$$, then $$\left(A^T\right)^2+(12 A)^T=$$

View Question If $$a, b, c$$ are respectively the 5 th, 8 th, 13 th terms of an arithmetic progression, then $$\left|\begin{array}{ccc

View Question If $$A=\left[\begin{array}{ccc}1 & 0 & 0 \\ a & -1 & 0 \\ b & c & 1\end{array}\right]$$ is such that $$A^2=I$$, then

View Question Let $$A=\left[\begin{array}{ccc}-2 & x & 1 \\ x & 1 & 1 \\ 2 & 3 & -1\end{array}\right]$$. If the roots of the equation

View Question Multiplicative inverse of the complex number $$(\sin \theta, \cos \theta)$$ is

View Question $$\sum_\limits{k=0}^{440} i^k=x+i y \Rightarrow x^{100}+x^{99} y+x^{242} y^2+x^{97} y^3=$$

View Question A true statement among the following identities is

View Question If $$e^{i \theta}=\operatorname{cis} \theta$$, then $$\sum_\limits{n=0}^{\infty} \frac{\cos (n \theta)}{2^n}=$$

View Question If $$f(f(0))=0$$, where $$f(x)=x^2+a x+b, b \neq 0$$, then $$a+b=$$

View Question The sum of the real roots of the equation $$|x-2|^2+|x-2|-2=0$$ is

View Question If the difference between the roots of $$x^2+a x+b=0$$ and that of the roots of $$x^2+b x+a=0$$ is same and $$a \neq b$$

View Question For what values of $$a \in Z$$, the quadratic expression $$(x+a)(x+1991)+1$$ can be factorised as $$(x+b)(x+c)$$, where

View Question If a set $$A$$ has $$m$$-elements and the set $$B$$ has $$n$$-elements, then the number of injections from $$A$$ to $$B$

View Question In how many ways can the letters of the word "MULTIPLE" be arranged keeping the position of the vowels fixed?

View Question The least value of $$n$$ so that $${ }^{(n-1)} C_3+{ }^{(n-1)} C_4>{ }^n C_3$$

View Question A natural number $$n$$ such that $$n!$$ ends in exactly 1000 zeroes is

View Question If $$\frac{13 x+43}{2 x^2+17 x+30}=\frac{A}{2 x+5}+\frac{B}{x+6}$$, then $$A^2+B^2=$$

View Question If $$A+B+C=\pi, \cos B=\cos A \cos C$$, then $$\tan A \tan C=$$

View Question In a $$\triangle A B C,\left(\tan \frac{A}{2} \tan \frac{B}{2} \tan \frac{C}{2}\right)^2 \leq$$

View Question The value of $$\tan \left(\frac{7 \pi}{8}\right)$$ is

View Question $$1+\sec ^2 x \sin ^2 x=$$

View Question In a $$\triangle A B C, 2(b c \cos A+a c \cos B+a b \cos C)=$$

View Question If $$4+6\left(e^{2 x}+1\right) \tanh x=11 \cosh x+11 \sinh x$$ then $$x=$$

View Question In a $$\triangle A B C, \frac{a}{b}=2+\sqrt{3}$$ and $$\angle C=60^{\circ}$$. Then, the measure of $$\angle A$$ is

View Question If $$a=2, b=3, c=4$$ in a $$\triangle A B C$$, then $$\cos C=$$

View Question In a $$\triangle A B C$$
$$(b+c) \cos A+(c+a) \cos B+(a+b) \cos C=$$

View Question $$D, E, F$$ are respectively the points on the sides $$B C, C A$$ and $$A B$$ of a $$\triangle A B C$$ dividing them in

View Question $$O A B C$$ is a tetrahedron. If $$D, E$$ are the mid-points of $$O A$$ and $$B C$$ respectively, then $$\mathbf{D E}=$$

View Question If $$\mathbf{a}+\mathbf{b}+\mathbf{c}=0$$ and $$|\mathbf{a}|=7,|\mathbf{b}|=5,|\mathbf{c}|=3$$ then the angle between $$

View Question If $$P$$ and $$Q$$ are two points on the curve $$y=2^{x+2}$$ in the rectangular cartesian coordinate system such that $$

View Question If the equation of the plane passing through the point $$A(-2,1,3)$$ and perpendicular to the vector $$3 \hat{i}+\hat{j}

View Question If the mean of the data $$p, 6,6,7,8,11,15,16$$, is 3 times $$p$$, then the mean deviation of the data from its mean is

View Question In a box, there are 8 red, 7 blue and 6 green balls. One ball is picked randomly. The probability that it is neither red

View Question For two events $$A$$ and $$B$$, a true statement among the following is

View Question Five digit numbers are formed by using digits $$1,2,3,4$$ and 5 without repetition. Then, the probability that the rando

View Question A manager decides to distribute ₹ 20000 between two employees $$X$$ and $$Y$$. He knows $$X$$ deserves more than $$Y$$,

View Question Which of the following is not a property of a Binomial distribution?

View Question In a Binomial distribution $$B(n, p)$$, if the mean and variance are 15 and 10 respectively, then the value of the param

View Question Suppose $$P$$ and $$Q$$ are the mid-points of the sides $$A B$$ and $$B C$$ of a triangle where $$A(1,3), B(3,7)$$ and $

View Question Suppose $$\triangle A B C$$ is an isosceles triangle with $$\angle C=90^{\circ}, A=(2,3)$$ and $$B=(4,5)$$. Then, the ce

View Question If the points of intersection of the coordinate axes and $$|x+y|=2$$ form a rhombus, then its area is

View Question Suppose, in $$\triangle A B C, x-y+5=0, x+2 y=0$$ are respectively the equations of the perpendicular bisectors of the s

View Question If the pair of straight lines $$9 x^2+a x y+4 y^2+6 x+b y-3=0$$ represents two parallel lines, then

View Question A line passing through $$P(2,3)$$ and making an angle of $$30^{\circ}$$ with the positive direction of $$X$$-axis meets

View Question For any real number $$t$$, the point $$\left(\frac{8 t}{1+t^2}, \frac{4\left(1-t^2\right)}{1+t^2}\right)$$ lies on a / a

View Question The area of the circle passing through the points $$(5, \pm 2),(1,2)$$ is

View Question The ratio of the largest and shortest distances from the point $$(2,-7)$$ to the circle $$x^2+y^2-14 x-10 y-151=0$$ is

View Question A circle has its centre in the first quadrant and passes through $$(2,3)$$. If this circle makes intercepts of length 3

View Question The image of the point $$(3,4)$$ with respect to the radical axis of the circles $$x^2+y^2+8 x+2 y+10=0$$ and $$x^2+y^2+

View Question Suppose a parabola passes through $$(0,4),(1,9)$$ and $$(4,5)$$ and has its axis parallel to the $$Y$$-axis. Then, the e

View Question The focal distances of the point $$\left(\frac{4}{\sqrt{5}}, \frac{3}{\sqrt{5}}\right)$$ on the ellipse $$\frac{x^2}{4}+

View Question If the normal to the rectangular hyperbola $$x^2-y^2=1$$ at the point $$P(\pi / 4)$$ meets the curve again at $$Q(\theta

View Question If the vertices and foci of a hyperbola are respectively $$( \pm 3,0)$$ and $$( \pm 4,0)$$, then the parametric equation

View Question If $$x$$-coordinate of a point $$P$$ on the line joining the points $$Q(2,2,1)$$ and $$R(5,2,-2)$$ is 4, then the $$y$$-

View Question If $$(2,3, c)$$ are the direction ratios of a ray passing through the point $$C(5, q, 1)$$ and also the mid-point of the

View Question If the equation of the plane which is at a distance of $$1 / 3$$ units from the origin and perpendicular to a line whose

View Question If $$[\cdot]$$ denotes greatest integer function, then $$\lim _\limits{x \rightarrow \frac{-3}{5}} \frac{1}{\dot{x}}\lef

View Question If $$l, m(l

View Question Let $$f(x)=\left\{\begin{array}{cl}\frac{1}{|x|}, & \text { for }|x|>1 \\ a x^2+b, & \text { for }|x| \leq 1\end{array}\

View Question If $$x \neq 0$$ and $$f(x)$$ satisfies $$8 f(x)+6 f(1 / x) =x+5$$, then $$\frac{d}{d x}\left(x^2 f(x)\right)$$ at $$x=1$

View Question $$\frac{d}{d x}\left(\lim _{x \rightarrow 2} \frac{1}{y-2}\left(\frac{1}{x}-\frac{1}{x+y-2}\right)\right)=$$

View Question If $$f(x)=\left\{\begin{array}{cc}\frac{x^2 \log (\cos x)}{\log (1+x)} & , \quad x \neq 0 \\ 0 & , x=0\end{array}\right.

View Question The number of those tangents to the curve $$y^2-2 x^3-4 y+8=0$$ which pass through the point $$(1,2)$$ is

View Question If the straight line $$x \cos \alpha+y \sin \alpha=p$$ touches the curve $$\left(\frac{x}{a}\right)^n+\left(\frac{y}{b}\

View Question Condition that 2 curves $$y^2=4 a x, x y=c^2$$ cut orthogonally is

View Question A closed cylinder of given volume will have least surface area when the ratio of its height and base radius is

View Question Two particles $$P$$ and $$Q$$ located at the points $$P\left(t, t^3-16 t-3\right), Q\left(t+1, t^3-6 t-6\right)$$ are mo

View Question If $$f(x)=\int x^2 \cos ^2 x\left(2 x \tan ^2 x-2 x-6 \tan x\right) d x$$ and $$f(0)=\pi$$, then $$f(x)=$$

View Question If
$$\int \frac{e^{\sqrt{x}}}{\sqrt{x}}(x+\sqrt{x}) d x=e^{\sqrt{x}}[A x+B \sqrt{x}+C]+K$$ then $$A+B+C=$$

View Question If $$\int \frac{1+\sqrt{\tan x}}{\sin 2 x} d x=A \log \tan x+B \tan x+C$$, then $$4 A-2 B=$$

View Question $$\int \frac{1+\tan x \tan (x+a)}{\tan x \tan (x+a)} d x=$$

View Question If $$I_n=\int_0^{\pi / 4} \tan ^n x d x$$, then $$\frac{1}{I_2+I_4}+\frac{1}{I_3+I_5}+\frac{1}{I_4+I_6}=$$

View Question $$\int_0^{\pi / 4} e^{\tan ^2 \theta} \sin ^2 \theta \tan \theta d \theta=$$

View Question $$\int_{\pi / 4}^{5 \pi / 4}(|\cos t| \sin t+|\sin t| \cos t) d t=$$

View Question If $$f(x)=\max \{\sin x, \cos x\}$$ and $$g(x)=\min \{\sin x, \cos x\}$$, then $$\int_0^\pi f(x) d x+\int_0^\pi g(x) d x

View Question If $$l$$ and $$m$$ are order and degree of a differential equation of all the straight lines at constant distance of $$P

View Question If $$2 x-y+C \log (|x-2 y-4|)=k$$ is the general solution of $$\frac{d y}{d x}=\frac{2 x-4 y-5}{x-2 y+2}$$, then $$C=$$

View Question By eliminating the arbitrary constants from $$y=(a+b) \sin (x+c)-d e^{x+e+f}$$, then differential equation has order of

View Question ## Physics

In SI units, $$\mathrm{kg}-\mathrm{m}^2 \mathrm{~s}^{-2}$$ is equivalent to which of the following?

View Question An object moving along $$X$$-axis with a uniform acceleration has velocity $$\mathbf{v}=\left(12 \mathrm{cms}^{-1}\right

View Question A force $$\mathbf{F}_1$$ of magnitude 4 N acts on an object of mass 1 kg , at origin in a direction $$30^{\circ}$$ above

View Question $$y=\left(P t^2-Q t^3\right) \mathrm{~m}$$ is the vertical displacement of a ball which is moving in vertical plane. The

View Question A cricket ball of mass 50 g having velocity $$50 \mathrm{~cm} \mathrm{~s}^{-1}$$ to stopped in 0.5 s. The force applied

View Question Two masses $$M_1$$ and $$M_2$$ are arranged as shown in the figure. Let $$a$$ be the magnitude of the acceleration of th

View Question A ball of mass 300 g is dropped from a height 10 m above a sandy ground. On reaching the ground, it penetrates through a

View Question Two balls $$A$$ and $$B$$, of masses $$M$$ and $$2 M$$ respectively collide each other. If the ball $$A$$ moves with a s

View Question A solid sphere of radius $$R$$ has its outer half removed, so that its radius becomes $$(R / 2)$$. Then its moment of in

View Question Which of the following is not true about vectors $$\mathbf{A}, \mathbf{B}$$ and $$\mathbf{C}$$ ?

View Question A body is executing S.H.M. At a displacement $$x$$ its potential energy is 9 J and at a displacement $$y$$ its potential

View Question As shown in the figure, an iron block $$A$$ of volume $$0.25 \mathrm{~m}^3$$ is attached to a spring $$S$$ of unstretche

View Question A uniform solid sphere of radius $$R$$ produces a gravitational acceleration of $$a_0$$ on its surface. The distance of

View Question In a hydraulic lift, compressed air exerts a force $$F$$ on a small piston of radius 3 cm . Due to this pressure the sec

View Question In a $$U$$-shaped tube the radius of one limb is 2 mm and that of other limb is 4 mm . A liquid of surface tension $$0.0

View Question A steady flow of a liquid of density $$\rho$$ is shown in figure. At point 1, the area of cross-section is $$2 A$$ and t

View Question A metal tape is calibrated at $$25^{\circ} \mathrm{C}$$. On a cold day when the temperature is $$-15^{\circ} \mathrm{C}$

View Question A gas is expanded from an initial state to a final state along a path on a $$p$$-$$V$$ diagram. The path consists of (i)

View Question The temperature of the sink of a Carnot engine is 250 K . In order to increase the efficiency of the Carnot engine from

View Question In non-rigid diatomic molecule with an additional vibrational mode

View Question Speed of sound in air near room temperature is approximately

View Question The radii of curvature of a double convex lens are 4 cm and 8 cm . If the refractive index of the material of the lens i

View Question When monochromatic light of wavelength 600 nm is used in Young's double slit experiment, the fifth order bright fringe i

View Question A solid sphere of radius $$R$$ carries a positive charge $$Q$$ distributed uniformly throughout its volume. A very thin

View Question Assertion (A) In a region of constant potential, the electric field is zero and there can be no charge inside the region

View Question Statement (A) Inside a charged hollow metal sphere, $$E=0, V \neq 0$$, (where, $$E=$$ electric field, $$V=$$ electric po

View Question The electrons take $$40 \times 10^3$$ s to dirift from one end of a metal wire of length 2 m to its other end. The area

View Question The current 'I' in the circuit shown in the figure is

View Question A toroid has a non ferromagnetic core of inner radius 24 cm and outer radius 25 cm , around which 4900 turns of a wire a

View Question A steel wire of length $$l$$ and magnetic moment $$M$$ is bent into a semicircular arc of radius $$R$$. The new magnetic

View Question A magnetic needle free to rotate in a vertical plane parallel to the magnetic meridian has its north tip pointing down a

View Question A circular coil has 100 turns, radius 3 cm and resistance $$4 \Omega$$. This coil is co-axial with a solenoid of 200 tur

View Question Capacitive reactance of a capacitor in an AC circuit is $$3 \mathrm{k} \Omega$$. If this capacitor is connected to a new

View Question A light of intensity $$12 \mathrm{Wm}^{-2}$$ incidents on a black surface of area $$4 \mathrm{~cm}^2$$. The radiation pr

View Question The electric field $$(E)$$ and magnetic field $$(B)$$ of an electromagnetic wave passing through vacuum are given by
$$\

View Question In a photoelectric experiment light of wavelength 800 nm produces photoelectrons with the smallest de-Broglie wavelength

View Question A hydrogen atom at the ground level absorbs a photon and is excited n = 4 level. The potential energy of the electron in

View Question The radius of an atomic nucleus of mass number 64 is 4.8 fermi. Then the mass number of another atomic nucleus of radius

View Question Consider the statements
In a semiconductor
(A) There are no free electrons at 0 K.
(B) There are no free electrons at an

View Question A carrier wave is used to transmit a message signal. If the peak voltage of modulating signal and carrier signal are inc

View Question