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

Chemistry

1. Choose the correct statements in reference to the photoelectric effect. (A) There is no time lag between the striking of 2. Assertion (A) Mo has the ground state electronic configuration $4 d^5 5 s^1$. Reason (R) Mo has the highest exchange ene 3. Which of the following sequence is correct for decreasing order of ionic radius? 4. The successive ionisation energies (starting from the 1 st ) of an element are $801,2430,3660,25,000$ and $32,800 \mathr 5. The compounds with $s p^2$ hybridised central atom among the following are (A) $\mathrm{H}_2 \mathrm{CO}_3$ (B) $\mathrm 6. The hybridisation and shape of $I_3^{-}$ion, respectively, are 7. 1 mole of a real gas is kept at high pressure of 100 bar at 300 K . If van der Waals' constant $b$ is $0.005 \mathrm{~L} 8. 1 L closed flask contains a mixture of 4 g of methane and 4.4 g of carbon dioxide. The pressure inside the flask at $27^ 9. Round the number 234555359 to 3 significant figure. 10. Which of the following are disproportionation reactions? (A) $\mathrm{Cl}_2+2 \mathrm{NaOH} \longrightarrow \mathrm{NaCl 11. The bond enthalpies of heavy hydrogen, $\mathrm{O}-\mathrm{O}$ and $\mathrm{D}-\mathrm{O}$ are $+400,+498$ and $+490 \ma 12. Calculate the value of the equilibrium constant $\left(K_p\right)$ for the reaction of oxygen gas oxidising ammonia gas 13. Ammonia is a Lewis base because it is 14. $$ \mathrm{CaC}_2+2 \mathrm{D}_2 \mathrm{O} \longrightarrow " P^{\prime \prime}+\mathrm{Ca}(\mathrm{OD})_2 $$ In the abo 15. Assertion (A) The ionic radii of the alkaline earth metals are smaller than those of alkali metals in the same period. R 16. A black coloured element with $n s^2 n p^1$ outer electronic configuration cannot react with air in its crystalline form 17. The element that does not show catenation is 18. From the following compounds, the ones which contain both $s p$ and $s p^2$ hybridised carbons are 19. 1-chloro-3- methylbutane on reaction with zinc and dilute hydrochloric acid gives $\_\_\_\_$ product. as the major 20. The major products $Y$ and $Z$ in the following reactions are 21. A solid has a structure in which ' W ' atoms are located at the corners of a cubic lattice, oxygen atoms at the edge cen 22. If 2 g of NaOH is dissolved to make 200 mL solution at $25^{\circ} \mathrm{C}$, the molarity ( $M$ ) at $90^{\circ} \mat 23. A solvent freezes at $17^{\circ} \mathrm{C}$ and its latent heat of fusion is $180 \mathrm{Jg}^{-1}$. The molal depressi 24. The $E^{\circ}$ of $\mathrm{Ce}^{4+} / \mathrm{Ce}^{3+}=1.6 \mathrm{~V}, \mathrm{Fe}^{3+} / \mathrm{Fe}^{2+}=0.76 \mathr 25. For a reaction, the threshold energy is $75 \mathrm{~kJ} /$ mole. If the internal energy of the reactants is 20 $\mathrm 26. The process in which colloids, when subjected to DC electric field move towards an electrode is 27. $$ \text { Match the following } $$ .tg {border-collapse:collapse;border-spacing:0;} .tg td{border-color:black;borde 28. In the following, the oxoacid with a peroxy bond is 29. Chlorine is allowed to react with excess of ammonia. In this, 1 mole of chlorine can oxidise ' $Z$ ' moles of $\mathrm{N 30. The correct order of enthalpy of vaporisation of noble gases is 31. Choose the correct statement. $\mathrm{Fe}^{3+}$ ion is more stable than $\mathrm{Fe}^{2+}$ ion because 32. Secondary valences of the following complexes based on their reactions with excess $\mathrm{AgNO}_3$ are$$ \begin{array} 33. Assertion (A) In aqueous solution, amino acids exist in dipolar ion form. Reason (R) Most of the naturally occurring ami 34. $$ \text { Match the following. } $$ $$ \begin{array}{llll} \hline \text { (A) } & \mathrm{CH}_3 \mathrm{CH}_2 \mathrm{C 35. $$ \text { The major product in the following transformation is } $$ 36. $$ \text { The major product of the following reaction is } $$ 37. $$ \text { The major product of the following reaction is } $$ 38. Suitable reagents $X$ and $Y$, respectively, in the following reactions are 39. Among the compounds (i) $\mathrm{H}-\mathrm{C} \equiv \mathrm{C}-\mathrm{COOH}$ (ii) $\mathrm{CH}_2=\mathrm{CH}-\mathrm{ 40. What is the IUPAC name of the below given compound?

Mathematics

1. If $[x]$ represents the greatest integer function, then the set of all real values of $x$ for which $f(x)=\sqrt{\frac{[x 2. If $[x]$ denotes the greatest integer $\leq x$, then the range of the real valued function $f(x)=\frac{1}{\sqrt{x-[x]}}$ 3. If $A$ is a $2 \times 2$ matrix such that $\operatorname{det} A=-21$ and trace of $A^3$ is 2024 , then the trace of $A$ 4. If $\left[\begin{array}{lll}a & b & c \\ d & e & f \\ g & h & i\end{array}\right]$ is a skew-symmetric matrix and $b, c$ 5. In the matrix $\left[\begin{array}{ccc}-1 & x & 3 \\ -4 & -5 & -6 \\ -7 & y & 9\end{array}\right]$, if the cofactors of 6. Consider the simultaneous linear equations $\beta x+\alpha y-z=-1,3 x-\beta y+\alpha z=0 \alpha x+\beta y+z=1$, In the u 7. If $\left|\begin{array}{cc}2+3 i & i \\ 1-2 i & -i\end{array}\right|=x+i y$, then $x+y=$ 8. If $\alpha$ and $\beta$ are the roots of the equation $x^2-2 x+2=0$, then $\alpha^{2020}+\beta^{2020}=$ 9. If $z=\frac{-1-i \sqrt{3}}{2}$, then $\sum_{k=1}^{2022}\left(z^k+\frac{1}{z^k}\right)^2=$ 10. Statement I The set of solutions of $|x|^2-4|x|+3 Statement II If $x5$, then $x^2-8 x+15>0$ Which of the above statement 11. If $6 x-x^2+12$ attains its extreme value $\beta$ at $x=\alpha$, then $\beta=$ 12. Let $a$ be a common root of the equations $x^3-2 x-25 \lambda=0,3 x^3-8 x-\frac{175}{3} \lambda=0$ and $\lambda>0$. Then 13. If the sum of two roots of the equation $x^3-7 p x^2+5 q x-6 r=0$ is zero, then 14. If $\alpha$ and $\beta$ are the irrational roots of the equation $3 p^2 x^3+p x^2+q x+3=0$ when $p=1$ and $q=-7$, then $ 15. The roots of a cubic equation $f(x)=0$ are diminished by $\frac{-3}{2}$ so, as to remove the term containing $x^2$ and t 16. If ${ }^m P_r-{ }^{(m-1)} p_r=a \cdot{ }^{(m-1)} P_s$, then $a-s=$ 17. The total number of ways of selecting 4 letters from all the letters of the word TSEAMCET is 18. Numerically greatest term in the expansion of $(2 x-3 y)^{11}$ when $x=\frac{1}{3}$ and $y=\frac{1}{2}$ is 19. If $\frac{x-2}{x^2(2 x-3)}=\frac{A}{x}+\frac{B}{x^2}+\frac{C}{2 x-3}$, then $2(A-C)=$ 20. If $\frac{x^2-x+1}{\left(x^2+1\right)\left(x^2+x+1\right)}=\frac{A x+B}{x^2+1}+\frac{C x+D}{x^2+x+1}$, then $A+2 B+C+2 D 21. If $\sin A=\frac{-7}{25}, \cos B=\frac{8}{17}, A$ does not lie in the 3rd quadrant and $B$ does not lie in the 1st quadr 22. If $\sin \theta-\cos \theta=\frac{1}{\sqrt{3}}$, then $\sin (2 \theta)+\cos (4 \theta)+\sin (6 \theta)=$ 23. If $a \tan \alpha+b \tan \beta=(a+b) \tan \left(\frac{\alpha+\beta}{2}\right)$ and $\alpha-\beta \neq 2 n \pi$ then $\fr 24. Assertion (A) $\operatorname{coth} x=\frac{1-k}{1+k}(0 Reason (R) The graph of $y=\tanh x$ always lies between the line 25. If $\frac{5 \sinh 2 x}{7+6 \cosh 2 x}=\frac{3}{2}$, then $3 \tanh ^2 x+20 \tanh x=$ 26. In $\triangle A B C$, if $a=7, b=8, \tan C=\frac{3 \sqrt{5}}{2}$ and $C$ is an acute angle, then $c=$ 27. In a $\triangle A B C$, if $\frac{a}{\tan A}=\frac{b}{\tan B}=\frac{c}{\tan C}$, then $\cos ^2 A+\cos ^2 B+\cos ^2 C=$ 28. In $\triangle A B C$, if $a=7, b=10$ and $c=11$, then $\frac{R}{r}=$ 29. Let $A B C$ be a triangle and $\mathbf{a}, \mathbf{b}$ and $\mathbf{c}$ be the position vectors of $A, B$ and $C$, respe 30. If $\alpha, \beta$ and $\gamma$ are real numebrs such that $$ \begin{aligned} & \left(\frac{7}{3}+\beta\right) \hat{\mat 31. If $\mathbf{r}=(2-\lambda+\mu) \hat{\mathbf{i}}+(1-\mu) \hat{\mathbf{j}}+(2-3 \lambda+2 \mu) \hat{\mathbf{k}}$ is the ve 32. If $\mathbf{a}=2 \hat{\mathbf{i}}+\hat{\mathbf{j}}-\hat{\mathbf{k}}, \mathbf{b}=\hat{\mathbf{i}}-\hat{\mathbf{j}}+3 \hat 33. Let $\pi_1$ be a plane passing through the point $\hat{\mathbf{i}}+\hat{\mathbf{j}}+\hat{\mathbf{k}}$ and perpendicular 34. Three non-coplanar vectors $\mathbf{a}, \mathbf{b}$ and $\mathbf{c}$ are the coterminous edges of a parallelopiped. If $ 35. Statement I The range of the ungrouped data does not change even if certain intermediate observations are removed Statem 36. The probability of getting a king and a spade card when two cards are drawn simultaneously from a pack of 52 playing car 37. Two cards are drawn from a pack of 52 playing cards one after the other. If $p_1$ is the probability of getting a queen 38. Bag $A$ contains 4 white and 2 black balls, bag $B$ contains 3 white and 3 black balls and bag $C$ contains 2 white and 39. A random variable $X$ has the following probability distribution $$ \begin{array}{llllllllll} \hline X=\mathbf{x}_i & 1 40. If $X$ is a Poisson variate such that $\frac{5}{3} k=P(X=2) =P(X=3)$, then $P(X=5)=$ 41. $A(-4,0)$ and $B(4,0)$ are two fixed points. $C$ and $D$ are two points on $Y$ - axis such that $C D=4$ and $C$ is a poi 42. By rotating the axes through an angle of $30^{\circ}$ in the anti-clockwise direction about the origin, the equation $4 43. In an isosceles triangle the ends of its base are $(2 a, 0),(0, a)$ and one of its two other sides is a horizontal line 44. If the lines $L_1 \equiv x-2 y+3=0, L_2 \equiv 2 x+y+1=0$ and $L_3 \equiv 3 x+y+c=0$ are concurrent and $\theta$ is the 45. If the lengths of the perpendiculars drawn from a point $(a, b)$ to the lines $2 x+3 y+4=0$ and $3 x-2 y+4=0$ are same, 46. If $3 x+6 y+2=0, x+y+1=0,2 x-y+3=0$ are three given lines, then the point $\left(\frac{-4}{3}, \frac{1}{3}\right)$ is 47. If $\theta$ is the acute angle between the pair of lines $12 x^2+2 h x y+7 y^2=0$ and $\tan \theta=\frac{8}{19}$, then $ 48. The number of real values of $\alpha$ for which the pair of lines represented by $\left(\alpha^2+12|\alpha|\right) x^2+6 49. The line $x+2 y-c=0$ meets the curve $x^2+y^2-3 x-6 y+3=0$ at two points $P$ and $Q$ and $\angle P O Q=\frac{\pi}{2}$, w 50. The line $4 x+3 y-4=0$ divides the circumference of a circle in the ratio $1: 2$. If $C(5,3)$ is the centre of that circ 51. Two sides of a square are along the lines $x=-5$ and $y=4$. The point of intersection of the diagonals is $(3,-4)$. The 52. If $L_1, L_2$ and $L_3$ are the chords of contact of the three points $(2,0),(1,-2)$ and $(4,4)$ respectively with respe 53. The combined equation of the direct common tangents of the circles $x^2+y^2+2 x=0$ and $x^2+y^2-2 y-3=0$ 54. If $(h, k)$ is the centre of the circle which passes through the origin and cuts the circles $x^2+y^2+4 x+6 y+12=0$ and 55. If $(-1,-1)$ is the radical centre of the circles $x^2+y^2+2 g x-4 y+4=0, x^2+y^2+6 x+2 f y+12=0$ and $x^2+y^2+10 y+20=0 56. The equation of the given curve is $x^2-4 x+4 y-8=0$. Match the following $$ \begin{array}{lll} \hline & \text { List I 57. If one end of a focal chord of the parabola $y^2=\frac{8}{a} \times(a>0)$ is at $(1,4)$, then the length of this focal c 58. If $m$ is the length of the latusrectum and $n$ is the length of the major-axis of the ellipse $25 x^2+16 y^2-150 x-64 y 59. If $P(\theta)$ and $Q\left(\frac{\pi}{2}+\theta\right)$ are two points on the ellipse $\frac{x^2}{a^2}+\frac{y^2}{b^2}=1 60. Let $S$ be the focus of the hyperbola $x^2-2 y^2=1$ lying on the positive $X$-axis. Let $P(-1,1)$ be a given point. Then 61. If $P\left(\frac{\pi}{6}\right)$ is a point on the hyperbola $\frac{x^2}{a^2}-\frac{y^2}{b^2}=1, S, S$ are its foci and 62. Let $A=(1,2,0), B=(2,0,-1), C=(0,-2,3)$ and $D=(-1,2,-3)$ be four points in the space. Let $G_1$ be the centroid of $\tr 63. If the d.r.'s of two lines are connected by the relations $a-b+c=0, a^2-b^2+2 c^2=0$ and $\theta$ is the angle between t 64. If $l, m$ and $n$ are the d.c.'s of a normal to the plane passing through the points $(0,1,2)$, $(3,0,2)$ and $(4,5,0)$, 65. $$ \lim _{x \rightarrow 2} \frac{x^3-x^2-x-2}{2 x^3-3 x^2-3 x+2}= $$ 66. $$ \lim _{x \rightarrow 0} \frac{4[\sin (2022 x)-\sin (2020 x)]}{x[\cos (2022 x)+2 \cos (2021 x)+\cos (2020 x)]}= $$ 67. If $f(x)=\sum_{p=1}^7 p^2 \sin ^{-1}\left(\frac{4}{5} \sin (p x)-\frac{3}{5} \cos (p x)\right)$, then the value of $\fra 68. If $y=\frac{a x+b}{c x+d}$, then $\frac{d x}{d y}=$ 69. If $x^2+y^2=t-\frac{1}{t}, x^4+y^4=t^2+\frac{1}{t^2}$, then $\frac{d y}{d x}=$ 70. The equation of the tangent to the curve $x^2+y-7=4 x$ at the point $(1,10)$ is 71. If $\theta$ is the angle between the curves $x^2-y^2=4$ and $y^2=3 x$, then $\tan \theta=$ 72. The absolute maximum value of the function $f(x)=2 x^3-3 x^2-36 x+9$ defined on $[-3,3]$ is 73. If $f(x)=\int \frac{2-3 \sin ^2 x}{1+\cos 2 x} d x$ and $f\left(\frac{\pi}{4}\right)=1$, then $f(0)=$ 74. If $x \neq(2 n+1) \frac{\pi}{2}, n \in Z$ and $\cos x \neq \frac{-1}{2}$, then $$ \int\left(\frac{\sin x+\sin 2 x}{1+\co 75. Given that $\int \frac{1}{x^2+a^2} d x=\frac{1}{a} \tan ^{-1}\left(\frac{x}{a}\right)+c$. $$ \begin{aligned} & \text { I 76. $$ \int_0^4| | x-2|-x| d x= $$ 77. If $\int_{-a}^a f(x) d x=\int_0^a f(x) d x+\int_0^a g(x) d x$, then $g(x)=$ 78. $f\left(x, y, c_1, c_2\right)=0$ is an equation containing two arbitrary constants $c_1$ and $c_2$. If the differential 79. If $l$ and $m$ are respectively the order and the degree of the differential equation $f(x) y^{\prime \prime}+g(x) y^{\p 80. The general solution of the differential equation $d x=(2 x+3 y-4) d y$ is

Physics

1. Among the fundamental forces, which one of the following is the strongest force? 2. Which of the following is the unit of mobility of a electron in a conductor? 3. A car starts at time $t=0$ from an initial speed of $10 \mathrm{~m} / \mathrm{s}$ and accelerates uniformly with $2 \mat 4. Particle $A$ (which was located at the origin at time $t=0$ ) is moving along the $X$-axis with a constant speed of $1 \ 5. A particle is moving in $X Y$-plane as $\mathbf{x}=\left(4 t+t^2\right) \hat{\mathbf{i}}$, $\mathbf{y}=\left(2 t+\frac{t 6. The surface of a hill inclined at an angle $30^{\circ}$ to the horizontal. A stone is thrown from the summit of the hill 7. A spherical bob of mass 250 g is attached to the end of a string having length 50 cm . The bob is rotated on a horizonta 8. A boat of mass 1000 kg goes from rest to speed 20.0 $\mathrm{m} / \mathrm{s}$ in 5.0 s . The water exerts a constant dra 9. A pump on the ground floor of a building can pump up water to fill a tank of volume $36 \mathrm{~m}^3$ in 30 min . If th 10. A cyclist is riding with a speed of $36 \mathrm{~km} / \mathrm{h}$. As he approaches a circular turn on the road of radi 11. A block is in simple harmonic motion (SHM) on the end of the spring with position given by $x=5 \cos \left(\omega t+\fra 12. Statement I The force of attraction due to a hollow spherical shell of uniform density on a point mass situated inside i 13. What is the work done in stretching a uniform metal wire of length from 2 m to 2.004 m with an area of cross-section $10 14. A wide cylindrical vessel 50 cm in height is filled with water and rests on a table. Assuming the viscosity to be neglig 15. A spherical drop of radius $r$ is divided into 8 equal droplets. If the surface tension is $S$, then the work done in th 16. A circular copper ring at $30^{\circ} \mathrm{C}$ has a hole with an area of $9.98 \mathrm{~cm}^2$. It is made to slip o 17. Statement I A device in which heat measurement can be made is called calorimeter. Statement II Skating is possible on sn 18. Which of the following statements is not true? 19. A gas system is taken through the thermodynamic cyclic process $1 \rightarrow 2 \rightarrow 3 \rightarrow 1$ as shown be 20. An ideal gas at pressure $p$ is enclosed in a container that is placed in a reservoir at temperature $T$. If the volume 21. A cylindrical tube open at both ends has a fundamental frequency $f$ in air. The tube is dipped vertically in water, so 22. A convex lens of focal length 25 cm and made of glass with refractive index 1.5 is immersed in water. the absolute chang 23. In a Young's double slit experiment, if the distance between two slits is reduced by a factor of 2 and the wavelength of 24. A small block of mass 5 g and charge $5 \mu \mathrm{C}$ is placed on insulated, frictionless, inclined plane of angle $6 25. Two metal spheres have their radii in the ratio of $4: 7$. They are put in contact and a charge $8.8 \times 10^{-7} \mat 26. The time required to raise the temperature 3 litre of water from $0^{\circ} \mathrm{C}$ to $80^{\circ} \mathrm{C}$ by a 27. The current density in a circular wire is given by $J(r)=\left(1 \times 10^5 \mathrm{~A} / \mathrm{m}^3\right) r$, where 28. Two infinitely long thin wires are placed at $(1 \mathrm{~cm}, 0 \mathrm{~cm})$ and $(2 \mathrm{~cm}, 0 \mathrm{~cm})$ a 29. A toroid core has inner radius of 0.24 m and outer radius of 0.26 m . A current of 10 A flows through the wire having 25 30. In the magnetic meridian of a certain place, the horizontal component of the earth's magnetic field is 86.6 G (Gauss) an 31. A wheel of 20 metallic spokes each 40 cm long is rotated with a speed of $180 \mathrm{rev} / \mathrm{min}$ in a plane no 32. A generator produces a current of 100 A at 4000 V . The voltage is stepped up to $2 \times 10^5 \mathrm{~V}$ by a transf 33. In a plane EM wave, the electric field oscillates sinusoidally at a frequency of 30 MHz and amplitude $150 \mathrm{~V} / 34. When monochromatic light falls on a photo sensitive metal, an electron is emitted with maximum velocity $1.6 \times 10^6 35. A lamp of power 942 W radiates energy uniformly in all direction. The wavelength of radiation is 660 nm .The photon flux 36. The shortest wavelength in Balmer series of hydrogen atom spectrum is approximately equal to (use $R_H=1.097 \times 10^7 37. What will be the energy released in joule, in the process of fission by 1 mg of ${ }_{92}^{240} \mathrm{U}$. Assume ener 38. The band gap in a semiconductor is 0.6 eV . The maximum wavelength of electromagnetic radiation which can create a hole 39. Identify the logic gate from the following with the same truth table characteristics of the logic circuit below 40. For an amplitude modulated wave, the modulation index is found to be 0.5 . If the maximum amplitude is found to be 10.0

TS EAMCET 2022 (Online) 20th July Evening Shift

MCQ (Single Correct Answer)

-0

The absolute maximum value of the function $f(x)=2 x^3-3 x^2-36 x+9$ defined on $[-3,3]$ is

TS EAMCET 2022 (Online) 20th July Evening Shift

MCQ (Single Correct Answer)

-0

If $f(x)=\int \frac{2-3 \sin ^2 x}{1+\cos 2 x} d x$ and $f\left(\frac{\pi}{4}\right)=1$, then $f(0)=$

$\frac{3}{8}(4-\pi)$

$3-\frac{\pi}{4}$

TS EAMCET 2022 (Online) 20th July Evening Shift

MCQ (Single Correct Answer)

-0

If $x \neq(2 n+1) \frac{\pi}{2}, n \in Z$ and $\cos x \neq \frac{-1}{2}$, then

$$ \int\left(\frac{\sin x+\sin 2 x}{1+\cos x+\cos 2 x}\right)^2 d x= $$

$\frac{\tan ^3 x}{3}-x+c$

$\frac{\sec ^3 x}{3}-x+c$

$\cot x-x+c$

$\tan x-x+c$

TS EAMCET 2022 (Online) 20th July Evening Shift

MCQ (Single Correct Answer)

-0

Given that $\int \frac{1}{x^2+a^2} d x=\frac{1}{a} \tan ^{-1}\left(\frac{x}{a}\right)+c$.

$$ \begin{aligned} & \text { If } \int \frac{1}{x^4+3 x^2+1} d x=a \tan ^{-1}\left(\frac{b\left(x^2-1\right)}{x}\right) \\ & +c \tan ^{-1}\left(\frac{d\left(x^2+1\right)}{x}\right)+k \end{aligned} $$

where $k$ is a constant of integration, then $5(c+d+a b)=$

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