TS EAMCET 2022 (Online) 18th July Morning Shift | TS EAMCET Year Wise Previous Years Questions

Chemistry

1. In hydrogen atom, the minimum energy required to excite an electron from 2nd orbit to the 3rd orbit is 2. The velocity $(v)$ of de-Broglie wave is given by $$ \left[\begin{array}{l} v=\text { frequency } \\ m=\text { mass } \\ 3. How many of the following statements are correct? (A) ' $\mathrm{He}^{\prime}$ ' is the second most abundant element in 4. The correct order of the first ionisation enthalpies of the following elements is 5. The correct order of $\mathrm{C}-\mathrm{O}$ bond length is 6. How many of the following species have the bond order 2? $\mathrm{C}_2, \mathrm{~B}_2^{2-}, \mathrm{N}_2^{2+}, \mathrm{C 7. Gases deviate from ideal behaviour at high pressures because the gas molecules 8. According to kinetic molecular theory of gases, which of the following statements are correct? (A) The actual volume of 9. The amount of $50 \%(w / w)$ solution of hydrochloric acid required to react with 200 g of $\mathrm{CaCO}_3$ would be 10. Identify the pair of reactions undergoing disproportionation from the following. 11. If 92 g Na reacts with water in open vessel at 300 K . What is the value of work done? [Assume ideal nature of the gaseo 12. For a reaction, $A(s) \rightleftharpoons B(s)+C(g)$ the set of all correct statements are (A) $K$ is independent of $[A] 13. The pH of pure water at $80^{\circ} \mathrm{C}$ is 14. On passing electric current over molten ionic hydrides of $s$-block elements, 15. Lithium nitrate on heating gives 16. Aluminium when treated with aqueous NaOH , liberates a gaseous molecule majorly. The gas is 17. The relative order of electronegativity of $\mathrm{C}, \mathrm{Ge}$, and Pb is 18. The correct order of the stability of the following compounds based upon hyperconjugation is 19. The correct order of rate of addition of $\mathrm{Br}_2$ /water to the following alkenes is 20. The major products $P$ and $Q$ formed in the following reactions schemes are 21. Iron crystalises in FCC with an edge length of 400 pm . If it contains $0.1 \%$ Schottky defects, calculate its approxim 22. Which of the following are correct for an ideal solution? (A) $\Delta V_{\text {mix }}=0$ (B) $V_{\text {solvent }}+V_{\ 23. At $0^{\circ} \mathrm{C}$ urea solution has an osmotic pressure of 400 mm . On dilution by $x$ times, its osmotic pressu 24. The electric charge for electrode deposition of one equivalent of a substance is equal to 25. If the definition of the temperature coefficient of the reaction holds good for a reaction between $27^{\circ} \mathrm{C 26. For $\mathrm{As}_2 \mathrm{~S}_3$ sol, the most effective coagulating agent is 27. In which of the following reactions there is no liberation of nitrogen gas 28. The correct order of boiling points of $\mathrm{H}_2 \mathrm{O}, \mathrm{H}_2 \mathrm{~S}, \mathrm{H}_2 \mathrm{Se}$ and 29. Which of the following is not a mineral of fluorine? 30. The element that even can diffuse through silica glass is 31. The compound with more covalent character in the following is 32. The correct order of decreasing field strength of the below given ligands is 33. Assertion (A) The denaturation of proteins can destroy all $1^{\circ}, 2^{\circ}$ and $3^{\circ}$ protein structures. Re 34. The major product formed in the following reaction sequence is 35. The major aromatic product of the following reaction sequence is 36. The order of reactivity of the following compounds towards the esterification with acetic acid is 37. Consider following reaction, where (A) the change in the functional group and (B) the corresponding change in the hybrid 38. Which of the following reactions will give benzophenone as major product? (A) Benzoyl chloride + benzene $+\mathrm{AlCl} 39. The reagent that can reduce the carboxylic acid group to the corresponding alcohol is 40. The starting material that produce pentanamine by Hoffmann bromamide reaction is

Mathematics

1. The domain of the real valued function $f(x)=\frac{\sqrt{6 x^2+5 x-6}}{\sqrt{4-x}-\sqrt{x+4}}$ is 2. If $[x]$ represents the greatest integer $\leq x$, then the range of the real valued function $f(x)=\frac{1}{\sqrt{[x]^2 3. 3. Let $A=\left[\begin{array}{ccc}a & 3 & 5 \\ 5 & -1 & 3 \\ 2 & 3 & -4\end{array}\right]$ and $B=\left[\begin{array}{cc 4. $\left|\begin{array}{ccc}1 & 1 & 1 \\ a^2 & b^2 & c^2 \\ a^3 & b^3 & c^3\end{array}\right|=$ 5. Let $\alpha, \beta, \gamma$ be real numbers. If $A=\left[\begin{array}{ccc}7 & 3 & \alpha \\ \beta & 1 & -11 \\ -5 & \ga 6. If $[\alpha \beta \gamma]\left[\begin{array}{ccc}1 & 2 & 3 \\ 2 & 3 & -5\end{array}\right]=[352]$, then $\alpha^3+\beta^ 7. $$ \sqrt{(-3+4 i)(8+6 i)}= $$ 8. If $\left(\frac{\sqrt{3}+i}{\sqrt{3}-i}\right)^m=1,2022 9. If $1, \omega, \omega^2$ are the cube roots of unity, $n \in N$ and $n>2$ then the least value of $n$ such that $1+\omeg 10. If $A=\left\{x \in R / \sqrt{x^2-8 x+15} \in R\right\}$ and $B=\left\{x \in R / \frac{x-3}{2 x-5} 11. If the extreme value of $3 x-2 x^2+1$ is $k$, then the set of all real values of $x$ for which $k x^2+2 x+1>0$ is 12. If $\alpha, \beta, \gamma$ are the roots of the equation $x^3-5 x^2-2 x+24=0$, then $\frac{\beta \gamma}{\alpha}+\frac{\ 13. If $\alpha, \beta, \gamma$ are the roots of the equation $3 x^3-26 x^2+52 x-24=0$ such that $\alpha, \beta, \gamma$ are 14. Let $p(x)$ be a quadratic polynomial with real coefficients. If $p(x)=0$ has only purely imaginary roots, then the zeroe 15. If $\alpha, \beta, \gamma$ are the roots of the equation $4 x^3+12 x^2-7 x+165=0$ and $\alpha+5, \beta+5, \gamma+5$ are 16. The number of 3-digit odd numbers divisible by 3 that can be formed using the digits $1,2,3,4,5,6$ when repetition is no 17. $$ \text { Match the items of List-I to the items of List-II } $$ .tg {border-collapse:collapse;border-spacing:0;} .tg 18. If $L$ and $M$ are respectively the coefficient of $x^{-7}$ in $\left(a x+\frac{b}{x^2}\right)^{11}$ and the coefficien 19. If $\frac{x^2-3 x+2}{(x-4)(x-3)^2}=\frac{A}{x-4}+\frac{B}{x-3}+\frac{C}{(x-3)^2}$ then $A+B+C=$ 20. If $\frac{x^2+3}{\left(x^2+1\right)\left(x^2+2\right)}=\frac{A x+B}{x^2+1}+\frac{C x+D}{x^2+2}$ then $A+B+C+D=$ 21. If $A$ and $B(A>B)$ are acute angles, $\sin (A-B)=\frac{16}{65}$ and $\sin B=\frac{5}{13}$, then $\tan A+\cot A=$ 22. If $\tan A=\frac{2}{3}$, then $\sin 4 A=$ 23. $$ \frac{\sqrt{2} \cos 45^{\circ}+\cos 56^{\circ}+\cos 58^{\circ}-\cos 66^{\circ}}{\sqrt{2} \cos 28^{\circ} \cos 29^{\ci 24. If $\theta=\frac{\pi}{12}$ and $x=\log \left(\cot \left(\frac{\pi}{4}+\theta\right)\right)$, then $\cosh x=$ 25. $2 \cosh (x+y) \sinh (x-y)+\sinh 2 y=$ 26. In a $\triangle A B C$, if $(b+c)^2 \sin ^2 \frac{A}{2}+(b-c)^2 \cos ^2 \frac{A}{2}=K(1-\cos 2 A)$, then $K=$ 27. In a $\triangle A B C$, if $b=7, c=4 \sqrt{3}$ and $A=\frac{\pi}{6}$ then a $\sin B \sin C=$ 28. In $\triangle A B C$, if $B C$ is the hypotenuse, then $r_2+r_3=$ 29. In a $\triangle A B C, D$ and $E$ divide the sides $B C$ and $C A$ in the ratio $2: 1$ respectively. If $P$ is the point 30. If the points with position vectors $\hat{\mathbf{i}}-2 \hat{\mathbf{j}}+3 \hat{\mathbf{k}}, 2 \hat{\mathbf{i}}+3 \hat{\ 31. If $P$ is a point on the line parallel to the vector $2 \hat{\mathbf{i}}-3 \hat{\mathbf{j}}-6 \hat{\mathbf{k}}$ and pass 32. Let $\mathbf{a}$ be a vector in the plane containing vectors $\mathbf{b}=\hat{\mathbf{i}}+2 \hat{\mathbf{j}}+\hat{\mathb 33. The cartesian equation of the plane passing through the point $(1,-2,3)$ and perpendicular to the vector $-\hat{\mathbf{ 34. Let $\mathbf{a}=\hat{\mathbf{i}}+\hat{\mathbf{j}}+\hat{\mathbf{k}}, \mathbf{b}=\hat{\mathbf{i}}-2 \hat{\mathbf{j}}+\hat{ 35. If $\bar{x}$ is the mean of $n$ observations $x_1, x_2, \ldots ., x_n$ then the mean of the absolute deviations of these 36. A cube having edge of length 5 cm is painted on all faces and then it is cut into equal cubes of unit volume. A small cu 37. A pair of dice is thrown twice in succession. The probability of getting prime number on both the dice in first throw an 38. 3 balls are drawn one after the other without replacement from an urn containing 4 red, 5 blue and 6 yellow balls. The p 39. Two balls are drawn at random from a bag containing 5 black balls and 3 white balls. If the random variable $X$ denotes 40. If the mean and variance of a binomial distribution are 4 and $\frac{4}{3}$ respectively, then $P(X=2)=$ 41. Let $A(5,-3), B(3,-2), C(-1,5)$ be three points. If $P$ is a point satisfying the condition $P A^2+2 P B^2=3 P C^2$, the 42. When the coordinate axes are rotated about the origin in the positive direction through an angle $\frac{\pi}{4}$, if the 43. Let the slope of a diameter $A C$ of a circle of radius 25 units be $\frac{3}{4}$. If $(3,2)$ is the centre of the circl 44. If $\theta$ is the acute angle between the lines $\frac{x}{a}+\frac{y}{b}=1, \frac{x}{b}+\frac{y}{a}=1$, then $\sin \the 45. If the line $x-y+1=0$ cuts the lines $2 x+2 y+3=0$ and $3 x+3 y+2=0$ at the points $A$ and $B$ respectively, then $A B=$ 46. If the incentre and the circumcentre of the triangle formed by the lines $x=2,4 x+3 y+7=0$ and $y=3$ are $I$ and $S$ res 47. $a x^2-4 x y-2 y^2=0$ represents a pair of lines. If $\theta$ is the angle between these lines, $\cos \theta=\frac{1}{5} 48. Let $L_1, L_2$ be the lines represented by the equation $4 x^2-5 x y+3 y^2=0$. Let $L_3, L_4$ be two lines passing throu 49. The equation $x^2-y^2+a x+b=0$ represents a pair of lines for the ordered pair $(a, b)=$ 50. A circle passes through the points $(1,2)$, $(3,4)$. If its centre lines on the line $x-y+3=0$, then its radius is equal 51. A line drawn through the point $A(5,7)$ cut the circle $x^2+y^2-36=0$ at the points $P$ and $Q$. Then, $A P \cdot A Q=$ 52. Let $P$ be any point on the circle $x^2+y^2-2 x-1=0$ and $C$ be its centre. Let $A B$ be the chord of contact of $P$ wit 53. If a circle $C$ passing through $(4,0)$ touches the circle $x^2+y^2+4 x-6 y-12=0$ externally at the point $(1$, -1 ), th 54. If the circles $C_1: x^2+y^2+2 x+4 y-20=0$, $C_2: x^2+y^2+6 x-8 y+9=0$ have $n$ common tangents and the length of the ta 55. If the common chord of the circles $x^2+y^2+4 y=0$ and $x^2+y^2-4 x-5=0$ is the diameter of the circle $S=0$, then the a 56. If $y^2=16 x$ is the given parabola, then the point of intersection of the focal chord through the point $(2,2)$ and the 57. Let $P Q$ and $R T$ be two focal chords of the parabola $y^2=16 x$. If $P=(4,8)$ are $R=(16,16)$, then $Q T=$ 58. If the eccentricity and the length of the latusrectum of an ellipse $\frac{x^2}{a^2}+\frac{y^2}{b^2}=1$ are $\frac{\sqrt 59. The parametric equations of the ellipse whose focii are $(-3,0),(9,0)$ and eccentricity is $\frac{1}{3}$, are 60. If $\frac{x^2}{k-\frac{5}{2}}+\frac{y^2}{\frac{7}{3}-k}=1$ ( $k$ is a real number) represents a hyperbola, then the set 61. Let $A\left(\theta_1\right)$ and $B\left(\theta_2\right)$ be two points on the hyperbola $\frac{x^2}{a^2}-\frac{y^2}{b^2 62. Let $A(1,2,3), B(-1,4,6), C(0,-6,4)$ and $D(1,1,1)$ be the vertices of a tetrahedron, $G$ be its centroid and $G_1$ be t 63. If a line $L$ is common to the planes $x-y+z+2=0$ and $2 x+y-2 z+5=0$ then the direction cosines of the line $L$ are 64. Let the foot of the perpendicular drawn from the point $(1,2,3)$ to a plane be $(-1,3,-2)$. Then, the perpendicular dist 65. $$ \lim _{x \rightarrow 3^{-}} \frac{x^3-3 x^2-4 x+12}{2 x^3-7 x^2+2 x+3}= $$ 66. $$ \lim _{x \rightarrow 0} \frac{2^{2 x}-2^{x+1}+2-\cos 2 x}{x^2}= $$ 67. If $f(x)=\left\{\begin{array}{l}\frac{x^2-16}{x-4} \text { if } x>4 \\ 2 x \quad \text { if } x \leq 4\end{array}\right. 68. If $f(x)=\log _e\left(e^{2 x}\left(\frac{3 x+5}{5-3 x}\right)^{2 / 3}\right), x \neq \frac{-5}{3}, \frac{5}{3}$, then th 69. If $x=\operatorname{cosec} \theta-\sin \theta, y=\operatorname{cosec}^{2022} \theta-\sin ^{2022} \theta$ and $\left(\fra 70. The area of the triangle formed by the tangent and the normal drawn to the curve $y^2=4 x$ at $(1,2)$ with $Y$-axis is ( 71. Consider two families of curves $y^2=4 a x$ ( $a$ is a parameter) and $x^2+\frac{y^2}{2}=c^2(c$ is parameter). If one cu 72. Let a function $f(x)$ be continuous in an interval $[a, b]$. Let $\delta>0$ be a very small real number. Let $c \in(a, b 73. Let $f(x)=\int \frac{2 x^3-3 x^2+4 x-5}{x^2} d x$ and $f(1)=1$. Then, $f(5)=$ 74. If $x>0$ and $x \neq(2 n+1) \frac{\pi}{2}$, then $\int\left(x \sqrt{x}-e^{\log (\sec x \tan x)}+\frac{3 x^2-2 x+1}{x^2}\ 75. $$ \int(2 x-3) \sqrt{3 x+2} d x= $$ 76. $$ \int_1^4\left(x+\sqrt{x}+\frac{1}{x}\right) d x-\int_1^{2 \log 2} d x= $$ 77. Let $I=\int_{-\pi / 4}^{\pi / 4} \frac{1}{2-\cos 2 x}\left(\frac{\beta}{\pi}+\log \left(\frac{4+\sin x}{4-\sin x}\right) 78. The differential equation of the family of circles with fixed radius $r$ units and centre on the line $y=3$, is 79. The degree of the differential equation $$ x\left(\frac{d^2 y}{d x^2}\right)^{1 / 3}+2 x^2\left(\frac{d^2 y}{d x^2}\righ 80. The curve that satisfies the differential equation $x y d y-\left(1+y^2\right) d x=0$ passes through $(1,0)$ and interse

Physics

1. Choose the correct statement from following. 2. If $E$ and $E_0$ denote energies at time $t$ and $t_0$ respectively, and $L$ and $L_0$ distance from same point at $t$ a 3. A body starts from the rest and acquires a velocity of $10 \mathrm{~m} / \mathrm{s}$ in 2s. What is the acceleration of 4. A bullet fired into a target losses one-third of its velocity after travelling a distance $x$ metre into the target. If 5. An ant starts from the origin and crawls 10 cm along the $X$-axis and then 20 cm along the $Y$-axis. The dot product of 6. A projectile is launched with an initial speed of $40 \mathrm{~m} / \mathrm{s}$ at an angle $30^{\circ}$ above the groun 7. Two blocks of masses 1 kg and 2 kg connected by a light rod and the system is slipping down a rough incline angle $45^{\ 8. The potential energy of an object is $U(x)=\left(5 x^2-4 x^3\right) \mathrm{J}$, where $x$ is the position in metre. The 9. A time varying force acts on a ball of mass 100 g for 2 ms . The force versus time curve is shown below. If the initial 10. Four masses are arranged along a circle of radius 1 m as shown in the figure. The centre of mass of this system of masse 11. A body starting at $t=0$ from origin oscillates simple harmonically with a period of 4 s . After what time will its kine 12. Three particles, each of mass $M$, situated at the vertices of an equilateral triangle of side length $l$. The only forc 13. $$ \text { Match the following. } $$ .tg {border-collapse:collapse;border-spacing:0;} .tg td{border-color:black;bord 14. A large storage tank, open to the atmosphere at top and filled with water, develops a small hole in its side at a point 15. An air bubble of radius 1 mm is at a depth of 8 cm below the free surface of a liquid column. If the surface tension and 16. Find the ratio of the length of a steel rod and a copper rod, if the steel rod is 4 cm longer, then the copper rod at an 17. An object cools from $100^{\circ} \mathrm{C}$ to $40^{\circ} \mathrm{C}$ in 10 min , when the surrounding temperature is 18. 1.00 kg of liquid water at $100^{\circ} \mathrm{C}$ undergoes a phase change into steam at $100^{\circ} \mathrm{C}$ at 1 19. A monoatomic gas does 100 J of work, when it is expanded isobarically. How much of heat is given to the gas in the proce 20. If the root mean square (rms) speed of nitrogen molecules at room temperature is $100 \mathrm{~m} / \mathrm{s}$, then th 21. Two waves of amplitudes $A_1$ and $A_2$ respectively, are superimposed. The ratio between the maximum and minimum intens 22. A lens is made of glass having an index of refraction 1.5 . One side of the lens is flat and the other side is convex wi 23. A Young's double slit experiment apparatus has slits separated by 0.2 mm and a screen 60 cm away from the slits. The who 24. An electron is released from a distance of 4 m from a stationary point charge 20 nC . What will be the speed of the elec 25. The following figure shows a 9 V battery and 3 uncharged capacitors of capacitances $C_1=C_2=C_3=1 \mu \mathrm{~F}$. The 26. A metal wire of length $L$ and radius $r$ has a resistance $R$. If a wire of the same metal of length $2 L$ and radius $ 27. Balancing point of a potentiometer shifts from a length of 60 cm to 40 cm by shunting the cell with a $4 \Omega$ resista 28. A current $I=5 \mathrm{~A}$ flows along a thin wire shaped as shown in figure. The radius of curved part of the wire is 29. A toroid has a core (non-ferro magnetic) of inner radius 24 cm and outer radius 26 cm around which 2000 turns of a wire 30. A planet has magnetic dipole moment of $27 \times 10^{22} \mathrm{~A}-\mathrm{m}^2$. If the radius of the planet is 300 31. A long solenoid has 20 turns per cm. A small loop of area $4 / \pi \mathrm{cm}^2$ is placed inside the solenoid normal t 32. An AC current is given by the expression, $I(t)=50 \sin (200 \pi t)$ in amperes. The frequency and rms value of the curr 33. An electromagnetic wave is propagating in vacuum along $-\hat{\mathbf{j}}$ direction. The magnetic field of the wave is 34. For photoelectric effect which of the following statements are true. (I) The kinetic energies of the photoelectrons do n 35. Which of the following statements is not true? 36. The light emitted in the transition $n=3$ to $n=2$, (where $n$ is the principal quantum number of the state) in hydrogen 37. As the mass number $A$ increases, which of the following quantities related to a nucleus does not change? 38. In a $p$-type semiconductor, which of the following statements is true? 39. In a NAND gate, $A$ and $B$ are inputs and $Y$ is the output, then the correct option is 40. A TV transmission antenna is 40 m tall. How much service area is can cover, if the receiving antenna is at the ground le

TS EAMCET 2022 (Online) 18th July Morning Shift

MCQ (Single Correct Answer)

-0

If $\theta=\frac{\pi}{12}$ and $x=\log \left(\cot \left(\frac{\pi}{4}+\theta\right)\right)$, then $\cosh x=$

$\frac{2}{\sqrt{3}}$

$\frac{-2}{\sqrt{3}}$

$\frac{\sqrt{3}}{2}$

$\frac{-\sqrt{3}}{2}$

TS EAMCET 2022 (Online) 18th July Morning Shift

MCQ (Single Correct Answer)

-0

$2 \cosh (x+y) \sinh (x-y)+\sinh 2 y=$

$\sinh 2 x$

$\frac{\sinh 2 x+\sinh 2 y}{2}$

$\frac{\sinh 2 x-\sinh 2 y}{2}$

$\cosh 2 x$

TS EAMCET 2022 (Online) 18th July Morning Shift

MCQ (Single Correct Answer)

-0

In a $\triangle A B C$, if $(b+c)^2 \sin ^2 \frac{A}{2}+(b-c)^2 \cos ^2 \frac{A}{2}=K(1-\cos 2 A)$, then $K=$

$R^2$

$2 R^2$

$R$

$2 R$

TS EAMCET 2022 (Online) 18th July Morning Shift

MCQ (Single Correct Answer)

-0

In a $\triangle A B C$, if $b=7, c=4 \sqrt{3}$ and $A=\frac{\pi}{6}$ then a $\sin B \sin C=$

$\frac{\sqrt{13}}{12}$

$\frac{\sqrt{13}}{7 \sqrt{3}}$

$\frac{12}{\sqrt{13}}$

$\frac{7 \sqrt{3}}{\sqrt{13}}$

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