AP EAPCET 2022 - 5th July Morning Shift

Paper was held on
Tue, Jul 5, 2022 3:30 AM

## Chemistry

The wavelength associated with the electron moving in the first orbit of hydrogen atom with velocity $$2.2 \times 10^6 \

View Question The energy required (in eV) to excite an electron of H -atom from the ground state to the third state is

View Question An element '$$X$$' with the atomic number 13 forms a complex of the type $$[\mathrm{XCl}(\mathrm{H}_2 \mathrm{O})_5]^{2+

View Question In which of the following oxides of three elements $$X, Y$$ and $$Z$$ are correctly arranged in the increasing order of

View Question In the Lewis dot structure of carbonate ion shown under the formal charges on the oxygen atoms 1, 2 and 3 are respective

View Question The set of species having only fractional bond order values is

View Question Identify the correct variation of pressure and volume of a real gas $$(A)$$ and an ideal gas ($$B$$) at constant tempera

View Question What are the oxidation numbers of S atoms in $$\mathrm{S}_4 \mathrm{O}_6^{2-}$$ ?

View Question 50 g of a substance is dissolved in 1 kg of water at $$+90^{\circ} \mathrm{C}$$. The temperature is reduced to $$+10^{\c

View Question Identify the correct statements from the following.
I. At 0 K , the entropy of pure crystalline materials approach zero.

View Question Use the data from table to estimate the enthalpy of formation of $$\mathrm{CH}_3 \mathrm{CHO}$$.
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View Question At 500 K , for the reaction $$\mathrm{N}_2(\mathrm{~g})+3 \mathrm{H}_2(\mathrm{~g}) \rightleftharpoons 2 \mathrm{NH}_3(\

View Question The relative basic strength of the compounds is correctly shown in the option.

View Question Calcium carbide $$+\mathrm{D}_2 \mathrm{O} \longrightarrow \underline{X}+\mathrm{Ca}(\mathrm{OD})_2$$.
The hybridisation

View Question Identify the correct statements from the following.
(A) $$\mathrm{BeSO}_4$$ is soluble in water.
(B) BeO is an amphoteri

View Question The two major constituents of Portland cement are

View Question Identify the $$P$$ and $$Q$$ of the following reaction
$$P+Q \longrightarrow\left[B(O H)_4\right]^{-}+\mathrm{H}_3 \math

View Question Identify the species, which does not exist?

View Question The IUPAC name of the following compound is

View Question The gaseous mixture used for welding of metals is

View Question An element crystallising in fcc lattice has a density of $$8.92 \mathrm{~g} \mathrm{~cm}^{-3}$$ and edge length of $$3.6

View Question Which of the following statement is correct for fcc lattice?

View Question 0.05 mole of a non-volatile solute is dissolved in 500 g of water. What is the depression in freezing point of resultant

View Question Which of the following form an ideal solution?
I. Chloroethane and bromoethane
II. Benzene and toluene
III. $$n$$-hexane

View Question 96.5 amperes current is passed through the molten $$\mathrm{AlCl}_3$$ for 100 seconds. The mass of aluminium deposited a

View Question The rate constant of a reaction at 500 K and 700 K are $$0.02 \mathrm{~s}^{-1}$$ and $$0.2 \mathrm{~s}^{-1}$$ respective

View Question Match the following
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View Question The correct order of coagulating power of the following ions to coagulate the positive sol is
$$\mathrm{\mathop {{{[Fe{{

View Question Assertion (A) 16 th group elements have higher ionisation enthalpy values than 15 th group elements in the corresponding

View Question Assertion (A) Fluorine has smaller negative electron gain enthalpy than chlorine.
Reason (R) The electron-electron repul

View Question Identify the isoelectronic pair of ions from the following.

View Question The homoleptic complex in the following is

View Question Carbohydrates are stored in plants and animals in which of the following forms respectively?

View Question Glycylalanine is a dipeptide of which amino acids?

View Question Identify the major product formed from the following reaction.

View Question Identify the major product of the following reaction.

View Question Identify the product(s) formed in the following reaction.

View Question Which compound is formed on catalytic hydrogenation of carbon monoxide at high $$p$$ and high $$T$$ in presence of $$\ma

View Question Identify the major product from the following reaction sequence.

View Question Arrange the following in decreasing order of their boiling points.

View Question ## Mathematics

$$f(x)=\log \left(\left(\frac{2 x^2-3}{x}\right)+\sqrt{\frac{4 x^4-11 x^2+9}{|x|}}\right) \text { is }$$

View Question Let $$f: R-\left\{\frac{-1}{2}\right\} \rightarrow R$$ be defined by $$f(x)=\frac{x-2}{2 x+1}$$. If $$\alpha$$ and $$\be

View Question If $$A=\left[\begin{array}{lll}3 & -3 & 4 \\ 2 & -3 & 4 \\ 0 & -1 & 1\end{array}\right]$$, then $$A A^T$$ is a

View Question If $$A X=D$$ represents the system of simultaneous linear equations $$x+y+z=6, 5 x-y+2 z=3$$ and $$2 x+y-z=-5$$, then (A

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

View Question Let $$G(x)=\left[\begin{array}{ccc}\cos x & -\sin x & 0 \\ \sin x & \cos x & 0 \\ 0 & 0 & 1\end{array}\right]$$. If $$x+

View Question By simplifying $$i^{18}-3 i^7+i^2\left(1+i^4\right)(i)^{22}$$, we get

View Question The values of $$x$$ for which $$\sin x+i \cos 2 x$$ and $$\cos x-i \sin 2 x$$ are conjugate to each other are

View Question The locus of a point $$z$$ satisfying $$|z|^2=\operatorname{Re}(z)$$ is a circle with centre

View Question If $$\sin ^4 \theta \cos ^2 \theta=\sum_\limits{n=0}^{\infty} a_{2 n} \cos 2 n \theta$$, then the least $$n$$ for which

View Question If $$S=\left\{m \in R: x^2-2(1+3 m) x+7(3+2 m)=0\right.$$ has distinct roots}, then the number of elements in $$S$$ is

View Question $$4^x-3^{x-\frac{1}{2}}=3^{x+\frac{1}{2}}-2^{2 x-1} \Rightarrow x=$$

View Question The sum of the real roots of the equation $$x^4-2 x^3+x-380=0$$ is

View Question If one root of the cubic equation $$x^3+36=7 x^2$$ is double of another, then the number of negative roots are

View Question $$\text { If } 10{ }^n C_2=3^{n+1} C_3 \text {, then the value of } n \text { is }$$

View Question There are 10 points in a plane, out of these 6 are collinear. If $$N$$ is the total number of triangles formed by joinin

View Question 205 students take an examination of whom 105 pass in English, 70 students pass in Mathematics and 30 students pass in bo

View Question In an examination, the maximum marks for each of three subjects is $$n$$ and that for the fourth subject is $$2 n$$. The

View Question $$\frac{2 x^2+1}{x^3-1}=\frac{A}{x-1}+\frac{B x+C}{x^2+x+1} \Rightarrow 7 A+2 B+C=$$

View Question If $$\sin \theta=-\frac{3}{4}$$, then $$\sin 2 \theta=$$

View Question $$\begin{aligned}
& \frac{1}{\sin 1^{\circ} \sin 2^{\circ}}+\frac{1}{\sin 2^{\circ} \sin 3^{\circ}}+\ldots +\frac{1}{\si

View Question Which of the following trigonometric values are negative?
I. $$\sin \left(-292^{\circ}\right)$$
II. $$\tan \left(-190^{\

View Question $$\text { If } \sin \theta+\operatorname{cosec} \theta=4, \text { then } \sin ^2 \theta+\operatorname{cosec}^2 \theta=$$

View Question $$\sin ^2 \frac{2 \pi}{3}+\cos ^2 \frac{5 \pi}{6}-\tan ^2 \frac{3 \pi}{4}=$$

View Question If $$2 \cosh 2 x+10 \sinh 2 x=5$$, then $$x=$$

View Question In any $$\triangle A B C, \frac{\cos A}{a}+\frac{\cos B}{b}+\frac{\cos C}{c}=$$

View Question In a $$\triangle A B C$$, if $$r_1=36, r_2=18$$ and $$r_3=12$$, then $$s=$$

View Question In a $$\triangle A B C, a=6, b=5$$ and $$c=4$$, then $$\cos 2 A=$$

View Question a, b, c are non-coplanar vectors. If
$$\mathbf{a}+3 \mathbf{b}+4 \mathbf{c}=x(\mathbf{a}-2 \mathbf{b}+3 \mathbf{c})+y(\m

View Question Three vectors of magnitudes $$a, 2 a, 3 a$$ are along the directions of the diagonals of 3 adjacent faces of a cube that

View Question If $$\mathbf{a}$$ is collinear with $$\mathbf{b}=3 \hat{i}+6 \hat{j}+6 \hat{k}$$ and $$\mathbf{a} \cdot \mathbf{b}=27$$,

View Question Let $$a, b$$ and $$c$$ be unit vectors such that $$a$$ is perpendicular to the plane containing $$\mathbf{b}$$ and $$\ma

View Question Let $$\mathbf{F}=2 \hat{i}+2 \hat{j}+5 \hat{k}, A=(1,2,5), B=(-1,-2,-3)$$ and $$\mathbf{B A} \times \mathbf{F}=4 \hat{i}

View Question If the mean deviation of the data $$1,1+d 1+2 d, \ldots, 1+100 d,(d>0)$$ from their mean is 255, then '$$d$$' is equal t

View Question The probability of getting a sum 9 when two dice are thrown is

View Question If $$A$$ and $$B$$ are two events such that $$P(B) \neq 0$$ and $$P(B) \neq 1$$, then $$P(\bar{A} \mid \bar{B})$$ is

View Question Two brothers $$X$$ and $$Y$$ appeared for an exam. Let $$A$$ be the event that $$X$$ has passed the exam and $$B$$ is th

View Question A bag contains 4 red and 3 black balls. A second bag contains 2 red and 3 black balls. One bag is selected at random. If

View Question In a Binomial distribution, if '$$n$$' is the number of trials and the mean and variance are 4 and 3 respectively, then

View Question For a Poisson distribution, if mean $$=l$$, variance $$=m$$ and $$l+m=8$$, then $$e^4[1-P(X>2)]=$$

View Question The locus of mid-points of points of intersection of $$x \cos \theta+y \sin \theta=1$$ with the coordinate axes is

View Question Suppose $$P$$ and $$Q$$ lie on $$3 x+4 y-4=0$$ and $$5 x-y-4=0$$ respectively. If the mid-point of $$P Q$$ is $$(1,5)$$,

View Question The length of intercept of $$x+1=0$$ between the lines $$3 x+2 y=5$$ and $$3 x+2 y=3$$ is

View Question Suppose that the three points $$A, B$$ and $$C$$ in the plane are such that their $$x$$-coordinates as well as $$y$$-coo

View Question Suppose the slopes $$m_1$$ and $$m_2$$ of the lines represented by $$a x^2+2 h x y+b y^2=0$$ satisfy $$3\left(m_1-m_2\ri

View Question Suppose that the sides passing through the vertex $$(\alpha, \beta)$$ of a triangle are bisected at right angles by the

View Question The radius of the circle having. $$3 x-4 y+4=0$$ and $$6 x-8 y-7=0$$ as its tangents is

View Question A circle is such that $$(x-2) \cos \theta+(y-2) \sin \theta=1$$ touches it for all values of $$\theta$$. Then, the circl

View Question The least distance of the point $$(10,7)$$ from the circle $$x^2+y^2-4 x-2 y-20=0$$ is

View Question Suppose that the $$x$$-coordinates of the points $$A$$ and $$B$$ satisfy $$x^2+2 x-a^2=0$$ and their $$y$$-coordinates s

View Question The radical centre of the three circles $$x^2+y^2-1=0, x^2+y^2-8 x+15=0$$ and $$x^2+y^2+10 y+24=0$$ is

View Question Which of the following represents a parabola?

View Question If the angle between the straight lines joining the foci and the ends of the minor axis of the ellipse $$\frac{x^2}{a^2}

View Question The locus of point of intersection of tangents at the ends of normal chord of the hyperbola $$x^2-y^2=a^2$$ is

View Question If $$e_1$$ and $$e_2$$ are the eccentricities of the hyperbola $$16 x^2-9 y^2=1$$ and its conjugate respectively. Then,

View Question If P divides the line segment joining the points $$A(1,2,-1)$$ and $$B(-1,0,1)$$ externally in the ratio 1 : 2 and $$Q=(

View Question If the direction cosines of a line are $$\left(\frac{a}{\sqrt{83}}, \frac{5}{\sqrt{83}}, \frac{c}{\sqrt{83}}\right)$$ an

View Question Let the plane $$\pi$$ pass through the point (1, 0, 1) and perpendicular to the planes $$2x + 3y - z = 2$$ and $$x - y +

View Question $$\lim _\limits{x \rightarrow-\infty} \log _e(\cosh x)+x=$$

View Question If $$a, b$$ and $$c$$ are three distinct real numbers and $$\lim _\limits{x \rightarrow \infty} \frac{(b-c) x^2+(c-a) x+

View Question $$\lim _\limits{x \rightarrow-\infty} \frac{3|x|-x}{|x|-2 x}-\lim _\limits{x \rightarrow 0} \frac{\log \left(1+x^3\right

View Question If $$3 f(\cos x)+2 f(\sin x)=5 x$$, then $$f^{\prime}(\cos x)+f^{\prime}(\sin x)=$$

View Question Assertion (A) $$\frac{d}{d x}\left(\frac{x^2 \sin x}{\log x}\right)=\frac{x^2 \sin x}{\log x}\left(\cot x+\frac{2}{x}-\f

View Question If $$x=f(\theta)$$ and $$y=g(\theta)$$, then $$\frac{d^2 y}{d x^2}=$$

View Question If the normal drawn at a point $$P$$ on the curve $$3 y=6 x-5 x^3$$ passes through $$(0,0)$$, then the positive integral

View Question The line joining the points $$(0,3)$$ and $$(5,-2)$$ is a tangent to the curve $$y=\frac{c}{x+1}$$, then $$c=$$

View Question $$y=x^3-a x^2+48 x+7$$ is an increasing function for all real values of $$x$$, then $$a$$ lies in the interval

View Question If $$a, b>0$$, then minimum value of $$y=\frac{b^2}{a-x}+\frac{a^2}{x}, 0

View Question The point on the curve $$y=x^2+4 x+3$$ which is closest to the line $$y=3 x+2$$ is

View Question $$\int \frac{3 x+4}{x^3-2 x+4} d x=\log f(x)+C \Rightarrow f(3)=$$

View Question $$\int \frac{e^{\tan ^{-1} x}}{1+x^2}\left[\left(\sec ^{-1} \sqrt{1+x^2}\right)^2+\cos ^{-1}\left(\frac{1-x^2}{1+x^2}\ri

View Question $$\int \frac{d x}{(x-3)^{\frac{4}{5}}(x+1)^{\frac{6}{5}}}=$$

View Question If $$I_n=\int\left(\cos ^n x+\sin ^n x\right) d x$$ and $$I_n-\frac{n-1}{n} I_{n-2} =\frac{\sin x \cos x}{n} f(x)$$, the

View Question Let $$T>0$$ be a fixed number. $$f: R \rightarrow R$$ is a continuous function such that $$f(x+T)=f(x), x \in R$$
If $$I

View Question $$\int_\limits1^3 x^n \sqrt{x^2-1} d x=6 \text {, then } n=$$

View Question [ . ] represents greatest integer function, then $$\int_{-1}^1(x[1+\sin \pi x]+1) d x=$$

View Question $$\begin{aligned}
& \lim _{n \rightarrow \infty}\left[\frac{n}{(n+1) \sqrt{2 n+1}}+\frac{n}{(n+2) \sqrt{2(2 n+2)}}\right

View Question The general solution of the differential equation $$\frac{d y}{d x}=\cos ^2(3 x+y)$$ is $$\tan ^{-1}\left(\frac{\sqrt{3}

View Question If the general solution of the differential equation $$\cos ^2 x \frac{d y}{d x}+y=\tan x$$ is $$y=\tan x-1+C e^{-\tan x

View Question Assertion (A) Order of the differential equations of a family of circles with constant radius is two.
Reason (R) An alge

View Question ## Physics

The energy of $$E$$ of a system is function of time $$t$$ and is given by $$E(t)=\alpha t-\beta t^3$$, where $$\alpha$$

View Question A student is at a distance 16 m from a bus when the bus begins to move with a constant acceleration of $$9 \mathrm{~m} \

View Question The component of a vector $$\mathbf{P}=3 \hat{i}+4 \hat{j}$$ along the direction $$(\hat{i}+2 \hat{j})$$ is

View Question A projectile is launched from the ground, such that it hits a target on the ground which is 90 m away. The minimum veloc

View Question If two vectors $$\mathbf{A}$$ and $$\mathbf{B}$$ are mutually perpendicular, then the component of $$\mathbf{A}-\mathbf{

View Question A body is travelling with $$10 \mathrm{~ms}^{-1}$$ on a rough horizontal surface. It's velocity after 2 s is $$4 \mathrm

View Question A small disc of mass $$m$$ slides down with initial velocity zero from the top $$(A)$$ of a smooth hill of height $$H$$

View Question A block of mass 50 kg is pulled with a constant speed of $$4 \mathrm{~ms}^{-1}$$ across a horizontal floor by an applied

View Question Ball $$A$$ of mass 1 kg moving along a straight line with a velocity of $$4 \mathrm{~ms}^{-1}$$ hits another ball $$B$$

View Question A solid cylinder of radius $$R$$ is at rest at a height $$h$$ on an inclined plane. If it rolls down then its velocity o

View Question A particle is executing simple harmonic motion with an instantaneous displacement $$x=A \sin ^2\left(\omega t-\frac{\pi}

View Question If the amplitude of a lightly damped oscillator decreases by $$1.5 \%$$ then the mechanical energy of the oscillator los

View Question Statement (A) Two artificial satellites revolving in the same circular orbit have same period of revolution.
Statement (

View Question Two wires $$A$$ and $$B$$ of same cross-section are connected end to end. When same tension is created in both wires, th

View Question 5 g of ice at $$-30^{\circ} \mathrm{C}$$ and 20 g of water at $$35^{\circ} \mathrm{C}$$ are mixed together in a calorime

View Question A hydraulic lift is shown in the figure. The movable pistons $$A, B$$ and $$C$$ are of radius $$10 \mathrm{~cm}, 100 \ma

View Question An iron sphere having diameter $$D$$ and mass $$M$$ is immersed in hot water so that the temperature of the sphere incre

View Question The work done by a Carnot engine operating between 300 K and 400 K is 400 J. The energy exhausted by the engine is

View Question The slopes of the isothermal and adiabatic $$p-V$$ graphs of a gas are by $$S_I$$ and $$S_A$$ respectively. If the heat

View Question The number of rotational degrees of freedom of a diatomic molecule

View Question Two cars are moving towards each other at the speed of $$50 \mathrm{~ms}^{-1}$$. If one of the cars blows a horn at a fr

View Question A needle is lying at the bottom of a water tank of height 12 cm. The apparent depth of the needle measured by a microsco

View Question Young's double slit experiment is conducted with monochromatic light of wavelength 5000$$\mathop A\limits^o $$, with sli

View Question A large number of positive charges each of magnitude $$q$$ are placed along the $$X$$-axis at the origin and at every 1

View Question The capacitance between the points A and B in the following figure.

View Question The electric field in a region of space is given as $$\mathbf{E}=\left(5 \mathrm{NC}^{-1}\right) x \hat{i}$$. Consider p

View Question In the given circuit values of $$I_1, I_2, I_3$$ are respectively

View Question The resistance of wire at $$0^{\circ} \mathrm{C}$$ is $$20 \Omega$$. If the temperature coefficient of the resistance is

View Question An electron having kinetic energy of 100 eV circulates in a path of radius 10 cm in a magnetic field. The magnitude of m

View Question A particle of mass $$2.2 \times 10^{-30} \mathrm{~kg}$$ and charge $$1.6 \times 10^{-19} \mathrm{C}$$ is moving at a spe

View Question Two short magnets of equal dipole moments $$M$$ are fastened perpendicularly at their centres. The magnitude of the magn

View Question A circular loop of wire of radius 14 cm is placed in magnetic field directed perpendicular to the plane of the loop. If

View Question An $$R-L-C$$ circuit consists of a $$150 \Omega$$ resistor, $$20 \mu \mathrm{F}$$ capacitor and a 500 mH inductor connec

View Question The magnetic field in a plane electromagnetic wave is given as
$$\mathbf{B}=\left(3 \times 10^{-7} \mathrm{~T}\right) \

View Question In Young's double slit experiment the slits are 3 mm apart and are illuminated by light of two wavelengths $$3750 \matho

View Question The following statement is correct in the case of photoelectric effect

View Question An electron in the hydrogen atom excites from 2nd orbit to 4th orbit then the change in angular momentum of the electron

View Question Choose the correct statement of the following

View Question A ancient discovery found a sample, where $$75 \%$$ of the original carbon ($$\mathrm{C}^{14}$$) remains. Then the age o

View Question Frequencies in the UHF range normally propagate by means of

View Question