TS EAMCET 2022 (Online) 20th July Morning Shift | TS EAMCET Year Wise Previous Years Questions

Chemistry

1. The maximum number of orbitals present in $n=4$ energy level of an atom and the maximum number of electrons with spin va 2. The approximate ratio of the speed of light in vacuum to that of an electron in the first Bohr orbit of hydrogen atom is 3. Which of the following species are isoelectronic species? (A) $\mathrm{O}^{2-}$ (B) $\mathrm{F}^{-}$ (C) $\mathrm{Na}^{+ 4. Arrange the following in increasing order of ionic radii $$ \mathrm{O}^{2-}, \mathrm{Na}^{+}, \mathrm{F}^{-}, \mathrm{Mg 5. The set of molecules among the following with zero dipole moment is $\mathrm{CCl}_4, \mathrm{BF}_3, \mathrm{CHCl}_3, \ma 6. The correct pair of species which are not isostructural is 7. The rate of diffusion of methane at 1.0 atm pressure is twice than that of another gas ' $X$ ' kept at 1.45 atm . The mo 8. Which of the following gases has the maximum van der Waals' constant ' $a$ '? 9. Electrolysis of aqueous $\mathrm{Na}_2 \mathrm{SO}_4$ was carried out by passing a current of 3 ampere for 10 min . The 10. Magnetite can be reduced with CO to yield iron metal and carbon dioxide. Calculate the mass of magnetite (in kg ) needed 11. In the reaction, $\mathrm{H}_2 \mathrm{O}(l) E \longrightarrow \mathrm{H}_2 \mathrm{O}(s)$ at $0^{\circ} \mathrm{C}$ and 12. For the formation of ammonia from its constituent elements ( 1 mole of $\mathrm{N}_2$ and 3 moles of $\mathrm{H}_2$ ) in 13. How many of the following are diprotic acids? Citric acid, chromic acid, oxalic acid, pyrosulphuric acid, sulphurous aci 14. Deionised water is obtained by passing hard water through 15. Unknown inorganic compound ' $A$ ' is used for water softening. ' $A$ ' reacts with $\mathrm{Na}_2 \mathrm{CO}_3$ to gen 16. Assertion $(\mathrm{A})\left[\mathrm{B}\left(\mathrm{OH}_2\right)_6\right]^{3+}$ and $\left[\mathrm{B}(\mathrm{OH})_4\ri 17. The correct order of " $\Delta H_f^{\circ}$ " values of diamond (I), graphite (II) and fullerene (III) is 18. $$ \text { Which of the following lacks hyperconjugative stability? } $$ 19. The organic compound 5-allylcyclohex-3-ene-1-ol is reacted with cold, dilute, aqueous solution of $\mathrm{KMnO}_4$. Th 20. The molecular formula of the product formed when benzene is reacted with excess of chlorine molecules under ultra-violet 21. KBr has rock salt type structural arrangements and has a density of $3.70 \mathrm{~g} / \mathrm{cm}^3$. The edge length 22. A liquid mixture is an ideal solution, if (A) it obeys ideal gas equation (B) it obeys Raoult's law at all concentration 23. The freezing point of equimolal aqueous solution will be highest for 24. The variation of $\lambda_{\mathrm{m}}$ of acetic acid with concentration is correctly represented as 25. Rate constants in the following reaction are Reaction 1 : $$ A \xrightarrow{\text { Catalyst } 1} P_1, k_1=1 \mathrm{~ 26. 10 g of a gas is adsorbed on 500 g of solid at 10 bar. If the pressure is increased at 20 bar, 14 g of the gas is adsorb 27. The minimum temperature required for a non-catalytic reaction between $\mathrm{N}_2$ and $\mathrm{O}_2$ is 28. Assertion (A) Both rhombic and monoclinic sulphur have $\mathrm{S}_8$ molecules. Reason (R) They have planar structure. 29. Assertion (A) Hydrogen fluoride has higher boiling point than other hydrogen halides. Reason (R) Hydrogen fluoride exhib 30. The chemical structures of $\mathrm{XeO}_3$ and $\mathrm{XeOF}_4$, respectively, are 31. The elements with full $d^{10}$ electronic configuration in their " +2 " oxidation state are 32. The pair in which both the species have same magnetic moment (spin only) is 33. $$ \text { Consider the following structures } $$ Which of the pairs represent $D$ and $L$-fructose, respectively? 34. $$ \text { The major product in the following reaction is } $$ 35. The intramolecular hydrogen bonding is present in 36. Assertion (A) Tertiary alcohols produce turbidity immediately with Lucas reagent. Reason ( $\mathbf{R}$ ) Lucas reagent 37. $$ \text { The major product of the following reaction is } $$ 38. Assertion (A) Ammonia and its derivatives form $\mathrm{H}_2 \mathrm{~N}-\mathrm{Z}$ undergo condensation reaction with 39. The correct order of $\mathrm{p} K_a$ of the following is $$ \underset{\mathrm{I}}{\mathrm{CCl}_3 \mathrm{COOH}} \quad \ 40. $$ \text { Match the following. } $$             &nbsp

Mathematics

1. The domain of the real valued function $f(x)=\sqrt{\frac{2 x^2-7 x+5}{3 x^2-5 x-2}}$ is 2. The range of the real valued function $f(x)=|x-2|+|x-3|$ is 3. $A=\left[\begin{array}{lll}1 & 2 & 3 \\ 4 & 3 & 2\end{array}\right]$, then $\left(A+A^T\right)\left(A-A^T\right)=$ 4. If $f(x)=\left|\begin{array}{ccc}x & x+1 & x+3 \\ x+2 & x+4 & x+7 \\ x+6 & x+9 & x+13\end{array}\right|$, then $f(5)=$ 5. Let $A=\left[\begin{array}{lll}2 & 1 & 1 \\ 0 & 1 & 0 \\ 1 & 1 & 2\end{array}\right]$. If $A^{-1}=\alpha A^2+\beta A+\ga 6. For a system of simultaneous linear equations, if $A X=\left[\begin{array}{l}1 \\ 1 \\ 2\end{array}\right], \operatornam 7. $\{x \in[0,2 \pi] / \sin x+i \cos 2 x$ and $\cos x-i \sin 2 x$ are conjugate to each other} $=$ 8. If $|x+i y|=\sqrt{x^2+y^2}$, then $\left|(1-\sqrt{3} i)^9+(\sqrt{3}+i)^9\right|=$ 9. If $1, \omega, \omega^2$ are the cube roots of unity and $1, \alpha, \alpha^2, \alpha^3$ are the fourth roots of unity i 10. If $\alpha$ and $\beta$ are the roots of a quadratic equation $x^2+b x+c=0$ such that $\alpha^2+\beta^2=5$ and $\alpha^3 11. The set of all real values of the expression $\frac{x^2-x+2}{x^2+x-2} \forall x \in R-\{-2,1\}$ is 12. If $\alpha, \beta$ and $\gamma$ are the roots of the equation $x^3-9 x^2+23 x-15=0$, then $\alpha^3+\beta^3+\gamma^3=$ 13. If $\alpha, \beta$ and $2 \beta$ are the real roots of the equation $x^3-9 x^2+k=0$ and $k \in R-\{0\}$, then $14 \beta= 14. The sum of all distinct roots of the equation $x^5-3 x^4+5 x^3-5 x^2+3 x-1=0$ is 15. $\left(x^4+1\right)=\frac{1}{a}(x+1)^4$ is a reciprocal equation 16. Let $a, b, c \in N$ and $a+b+c=5$. Let $L, M$ be the least and greatest values of $2^a 3^b 5^c$, respectively. Then $M-L 17. The number of positive divisors of 360 which are multiples of 3 is 18. $\frac{1}{8}-\frac{7}{8 \cdot 12}+\frac{7 \cdot 10}{8 \cdot 12 \cdot 16}-\ldots=$ 19. If $\frac{2 x^2-3 x+5}{(x-7)^3}=\frac{A}{x-7}+\frac{B}{(x-7)^2}+\frac{C}{(x-7)^3}$, then $2 A-3 B+C=$ 20. If $\frac{3 x^2+a x+3}{(2 x+3)\left(x^2+2\right)}=\frac{3}{2 x+3}+\frac{B x+C}{x^2+2}$, then $a(B+C)=$ 21. If $\sin (A+B) \sin (A-B)+\cos (A+B) \cos (A-B) =\frac{1}{2}$ and $0 22. $$ \frac{1}{\sin 250^{\circ}}+\frac{\sqrt{3}}{\cos 290^{\circ}}= $$ 23. If $A+B+C=\frac{\pi}{2}$, then $\sqrt{2} \cos \left(\frac{\pi}{4}-A\right)$ $$ +\sqrt{2} \cos \left(\frac{\pi}{4}-B\righ 24. If $\sinh x=\tan A$, then $|\tanh x|=$ 25. $$ \frac{\sinh (x+y)+\sinh (x-y)}{\cosh (x+y)-\cosh (x-y)}= $$ 26. If $a, b$ and $c$ are the sides of $a \triangle A B C$ and $\left|\begin{array}{lll}b & 1 & a \\ a & 1 & c \\ c & 1 & b\ 27. In $\triangle A B C$, if $A=\frac{\pi}{3}$ and $B=\frac{\pi}{4}$, then $\frac{a^2-b^2}{c^2}=$ 28. In a $\triangle A B C$, if $a=3, b=7$ and $c=8$, then $\sin \frac{B}{2} \tan \frac{C-A}{2}=$ 29. Let $A B C$ be a triangle and $\mathbf{a}, \mathbf{b}$ and $\mathbf{c}$ be the position vectors of $A, B$ and $C$ respec 30. If $2 \hat{\mathbf{i}}+4 \hat{\mathbf{j}}-5 \hat{\mathbf{k}}, \hat{\mathbf{i}}+\hat{\mathbf{j}}+\hat{\mathbf{k}}, \hat{\ 31. Let $L$ be a line passing through the points $2 \hat{\mathbf{i}}+3 \hat{\mathbf{j}}+8 \hat{\mathbf{k}}$ and $\hat{\mathb 32. Let $\mathbf{a}, \mathbf{b}$ and $\mathbf{c}$ be three unit vectors satisfying $|\mathbf{a}-\mathbf{b}|^2+|\mathbf{a}-\m 33. If $\mathbf{r} \cdot(2 \hat{\mathbf{i}}+3 \hat{\mathbf{j}}+4 \hat{\mathbf{k}})=5, \mathbf{r} \cdot(\hat{\mathbf{i}}+\hat 34. Let $A B C$ be a triangle. Let a point $P$ divide $A B$ in the ratio $1: 2$ internally and a point $Q$ divide $B C$ in t 35. If 10 is the mean deviation of ' $n$ ' observations $x_1, x_2, x_3, \ldots, x_n$, then the mean deviation of the observa 36. A bag contains 9 identical black balls numbered 1 to 9 . and 4 identical white balls numbered 1 to 4 . If 3 balls are dr 37. The probabilities of two persons to hit a target are $1 / 4$ and $1 / 5$ respectively. The probability that the target i 38. When 3 dice are thrown at a time, the sum of the numbers appeared on 3 dice were found to be 15 . Then, the probability 39. If the probability distribution of a random variable $X$ is given by $$ \begin{array}{|c|c|c|c|c|c|c|} \hline X=x & 0 & 40. The probability of getting a success in a trail is five times that of a failure. The probability of getting atmost one s 41. $B(2,3), C(5,-2), D(1,-1)$ are three points. If $A$ is a variable point such that the area of the quadrilateral $A B C D 42. A line makes intercepts 5 and 7 on the coordinate axes. The axes are rotated through an angle $\theta$ in the positive d 43. $L \equiv 7 x-y+8=0$ is one of the diagonals of a square for which $(-4,5)$ and $(3,4)$ are two vertices. Then, the coor 44. The locus of the image of a variable point $(\alpha, 2 \alpha-1)$ with respect to the line $3 x-2 y+4=0$, is 45. Let $M$ be the foot of the perpendicular drawn from the point $(5,-7)$ to the line $3 x-5 y+1=0$. Then, the perpendicula 46. If $P$ is a point equidistant from all the vertices $A(-1,3), B(3,5), C(5,7)$ of a $\triangle A B C$, then $P A=$ 47. 4 different pairs of lines are given in List I and the cosine of the angle between every pair of lines is given in List 48. If $a x^2+6 x y-2 y^2=0$ represents a pair of perpendicular lines and $9 x^2+2 h x y+4 y^2=0(h>0)$ represents a pair of 49. The line $x+2 y=k$ meets the curve $2 x^2-2 x y+3 y^2+2 x-y-1=0$ at two points $A$ and $B$. Let $O$ be the origin. If th 50. Let the centre of the circle $S=0$ lie on the line $x+y-5=0$ and also lie in the first quadrant. If this circle touches 51. The straight line $x+2 y=1$ cuts the $X$-axis at $A$ and $Y$-axis at $B, A$ circle is drawn through $A, B$ and the origi 52. Let $P$ and $Q$ be two external points of the circle $S=x^2+y^2-a^2=0$. Let the chord of contact of the point $P$ with r 53. $A\left(x_1, y_1\right)$ is the internal centre of similitude and $B\left(x_2, y_2\right)$ is the external centre of sim 54. The equation of the direct common tangent of the circles $x^2+y^2-6 x-4 y-23=0$ and $x^2+y^2+2 x+2 y+1=0$ is 55. The length of the common chord of the two circles $x^2+y^2-4 x-8 y+4=0$ and $x^2+y^2-8 x-12 y+16=0$ is 56. If the focal chord drawn through the point $(1,2)$ to the parabola $y^2=8 x$ meets this parabola in $\left(x_1, y_1\righ 57. If $\left(2 t^2, 4 t\right)$ is a point on the parabola $y^2=8 x$ such that its focal distance is 3 , then $t=$ 58. The length of the latusrectum of an ellipse is 6 units and the distance between a focus and its nearest vertex on the ma 59. If the line $2 x-3 y+4=0$ cuts the ellipse $x=3 \cos \theta, y=5 \sin \theta$ in $A$ and $B$ and $(\alpha, \beta)$ is th 60. Let $e_1$ be the eccentricity of a hyperbola for which distance between its focii is 2 times the distance between its di 61. Assertion (A) The distance between the points $p\left(\frac{\pi}{4}\right)$ and $p\left(\frac{\pi}{3}\right)$ on the hy 62. $A(1,1,1), B(1,-4,3), C(2,-2,0)$ and $D(8,1,4)$ are the vertices of a tetrahedron. $G_1, G_2, G_3$ and $G_4$ are the cen 63. Let $A(2,3,-1), B(4,1,0), C(-1,-1,1)$ be the vertices of a $\triangle A B C$. Let $D$ be the point where the bisector of 64. If a plane passing through the points $(2,3,0),(0,-5,2)$ and ( $-2,0,3$ ) meets the $X, Y$ and $Z$-axes in $A, B$ and $C 65. Let [ $x$ ] denote the greatest integer less than or equal to $x$ and $f(x)=2 x-[2 x]$. If $\mathop {\lim }\limits_{x \t 66. $$ \mathop {\lim }\limits_{x \to 0} \frac{\left(2^x-1\right)(1+\sin x)^{\frac{2}{\sin x}}}{\log (1+2 x)}= $$ 67. Let $f(x)$ be a differentiable function such that $f(0)=0$ and $f^{\prime}(0)=20$. For $x \in\left(0, \frac{\pi}{2}\righ 68. If $f(x)=\frac{e^{-x} \sin x}{\log _e x}$ and $f^{\prime}(x)=f(x) \cdot g(x)$, then $g^{\prime}(e)=$ 69. If $y=\frac{e^{\sin x}+\sinh ^3 x}{\cosh x-\tan x}$, then $y^{\prime}(0)=$ 70. The approximate value of $\sqrt[3]{28}$ rounded up to 3 decimal places is 71. $y=x^2$ is the given curve. Imagine that this curve is dragged along the positive $X$-axis to a distance of ' $a$ ' unit 72. If $x$ and $y$ are two positive integers such that $x+2 y=10$ and $x^2 y^3$ is maximum, then $x^2+2 y^3=$ 73. If $\frac{3 \pi}{4} 74. If $\tan \alpha=\frac{4}{3}$, then $\int \frac{1}{3 \cos x-4 \sin x} d x=$ 75. If $x \neq(2 n+1) \frac{\pi}{2}$, then $\int \frac{\cos ^3 x}{(1+\sin x)^4} d x=$ 76. Given that $\lim _{n \rightarrow \infty} \frac{1}{n} \sum_{r=1}^{n p} f\left(\frac{r}{n}\right)=\int_0^p f(x) d x$. If 77. If $f(x)=\left|\begin{array}{ccc}2 \cos ^2 x & \sin 2 x & \sin x \\ \sin 2 x & 2 \sin ^2 x & -\cos x \\ \sin x & -\cos x 78. The number of arbitrary constants that appear in the general solution of the differential equation $\left(\frac{d^4 y}{d 79. Assertion (A) The degree of the differential equation $y^{\prime \prime}+2 x y^{\prime}+\log _e\left(\frac{d y}{d x}\rig 80. Let $S$ be the family of curves given by the general solution of the differential equation $\frac{y^2 e^{-1 / y}}{\sqrt{

Physics

1. Which of the following statements is true? 2. If the velocity of light $c$, the gravitational constant $G$ and Planck's constant $h$ are chosen as the fundamental uni 3. A ball projected up passes the same height $H$ at 2 s and 10 s . The value of $H$ is (use, $g=9.8 \mathrm{~m} / \mathrm{ 4. Two towns $X$ and $Y$ are connected by a regular bus service. A bus leaves in either direction at every $t=T$ minutes. A 5. Statement I An object subjected to velocities $\mathbf{v}_1$ and $\mathbf{v}_2$ has a resultant velocity with magnitude 6. For a projectile, if $\alpha$ is the angle of projection, $R$ is the range, $h$ is the maximum height, $t$ is the time o 7. At time $t=0$, a force $F=\alpha t$, where $t$ is time in seconds, is applied to a body of mass 1 kg , resting on a smoo 8. Statement I The slope of kinetic energy-displacement curve of a body in motion will be directly proportional to its acce 9. An object is moving in a straight line under the influence of a source of constant power. If $v$ and $t$ are velocity an 10. A solid spherical ball is rolled up an inclined plane of angle of inclination $30^{\circ}$ with an initial speed of $4 \ 11. A particle performs simple harmonic motion with a time period of 16 s . At a time $t=2 \mathrm{~s}$, the particle passes 12. Let the escape speed of an object on the earth's surface be $v_0$. The object is projected out with speed $5 v_0$. The s 13. One end of a steel rod of radius 10.0 mm and length 50.0 cm is clamped on a horizontal table. The other end of the rod i 14. A venturimeter has a pipe diameter of 4 cm and a throat diameter of 2 cm . Velocity of water in the pipe section is $10 15. A soap bubble of initial radius $R$ is to be blown up. The surface tension of the soap film is $T$. The surface energy n 16. Two metal rods $A$ and $B$ each of length 50 cm can diameter 4.0 mm are joined together at temperature $30^{\circ} \math 17. Find the difference in temperature between the water at the top and the bottom of 20 m high waterfall assuming 10\% of t 18. Assertion (A) The zeroth law of thermodynamics leads to the concept of temperature. Reason (R) The zeroth law states tha 19. When a gas expands adiabatically, its volume is doubled while its absolute temperature is decreased by a factor of 2 . T 20. An amount of 700 J of heat is transferred to a diatomic gas allowing it to expand with the pressure held constant. The w 21. Which of the following wave has the largest wave speed? 22. What is the refractive index of the material of a double convex lens having radii of curvature of 5 cm and 10 cm and foc 23. In an interference pattern of Young's double slit experiment, at a point we observe the 12 th order maximum for a monoch 24. Two charges are $+10 \mu \mathrm{C}$ and $-10 \mu \mathrm{C}$ are separated by 10 cm . The magnitude of force acting on 25. A sphere-1 with redius $R$ has charge $q$. Sphere-2 with radius $3 R$ is far from sphere-1 and is initially uncharged. I 26. Statement I Specific resistance depends on nature of material and independent of temperature of the material. Statement 27. Find the mobility of electron in a wire, if its average collision time is $9.1 \times 10^{-15} \mathrm{~s}$. (Charge of 28. A current carrying loop $A B C D$ has two circular arcs $A D$ and $B C$ with radius 1 cm and 2 cm respectively, as shown 29. Three parallel wires $a, b$ and $c$ carrying currents $i_a, i_b$ and $i_c$ as shown in the figure are placed next to eac 30. An iron bar having a cross-sectional area of $2 \times 10^{-5} \mathrm{~m}^2$ and magnetising field of $2400 \mathrm{~A} 31. A metal disc of radius 30 cm rotates with a constant angular velocity $\omega=100 \mathrm{rad} / \mathrm{s}$ about its a 32. A capacitor of capacitance $100 \mu \mathrm{~F}$ and a coil of resistance $20 \Omega$ and inductance 12.5 mH are connect 33. On a particular day, the sun delivers an average power of $\left(\frac{6}{\pi} \times 10^3\right) \frac{\mathrm{W}}{\mat 34. Statement I By increasing the potential difference between cathode and anode continuously in a photoelectric experiment, 35. Which of the following has the largest de-Broglie wavelength? 36. The energy of an electron in the fourth excited state of the hydrogen atom is 37. Estimate the approximate volume of aluminium nucleus $(A=27)$, use $\binom{R_0 \simeq 1.0 \times 10^{-15} \mathrm{~m}}{\ 38. A $p-n$ junction is fabricated from a semiconductor with band gap of 2.8 eV . what approximate wavelength it cannot dete 39. Identify the logic operation performed by the following circuit. 40. A carrier wave of peak voltage 10 V is used to transmit a message signal. What should be the peak voltage of the modulat

TS EAMCET 2022 (Online) 20th July Morning Shift

MCQ (Single Correct Answer)

-0

If $\tan \alpha=\frac{4}{3}$, then $\int \frac{1}{3 \cos x-4 \sin x} d x=$

$\frac{1}{5} \log \left|\tan \left(\frac{x}{2}+\frac{\alpha}{2}\right)\right|+c$

$\frac{1}{5} \log \left|\tan \left(\frac{\pi}{4}+\frac{x}{2}+\frac{\alpha}{2}\right)\right|+c$

$\frac{1}{5} \log \left|\tan \left(\frac{\pi}{4}-\frac{x}{2}-\frac{\alpha}{2}\right)\right|+c$

$\frac{1}{5} \log |\tan (\sec x+\tan x)|+c$

TS EAMCET 2022 (Online) 20th July Morning Shift

MCQ (Single Correct Answer)

-0

If $x \neq(2 n+1) \frac{\pi}{2}$, then $\int \frac{\cos ^3 x}{(1+\sin x)^4} d x=$

$-\frac{\cos ^4 x}{(1+\sin x)^3}+c$

$-\frac{\cos ^3 x}{(1+\sin x)^3}+c$

$-\frac{\cos ^4 x}{(1+\sin x)^4}+c$

$-\frac{\cos ^4 x}{4(1+\sin x)^4}+c$

TS EAMCET 2022 (Online) 20th July Morning Shift

MCQ (Single Correct Answer)

-0

Given that $\lim _{n \rightarrow \infty} \frac{1}{n} \sum_{r=1}^{n p} f\left(\frac{r}{n}\right)=\int_0^p f(x) d x$. If $f: R \rightarrow R$ is defined by $f(x)=x^2+2$, then

$$ \lim _{n \rightarrow \infty} \frac{3}{n}\left[f\left(\frac{7}{n}\right)+f\left(\frac{14}{n}\right)+f\left(\frac{21}{n}\right)+\ldots+f(7)\right]= $$

104

TS EAMCET 2022 (Online) 20th July Morning Shift

MCQ (Single Correct Answer)

-0

If $f(x)=\left|\begin{array}{ccc}2 \cos ^2 x & \sin 2 x & \sin x \\ \sin 2 x & 2 \sin ^2 x & -\cos x \\ \sin x & -\cos x & 0\end{array}\right|$, then

$$ \left.\int_0^{\pi / 4}|2| f(x) \mid+5 f^{\prime}(x)\right) d x= $$

$\frac{\pi}{4}$

$\frac{\pi}{2}$

$\pi$

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