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

Chemistry

1. The total number of spectral lines observed when electron returns from the 6th shell to the 2nd shell in hydrogen atom i 2. The orbital angular momentum of an electron in $d$-orbital is equal to 3. The correct order of decreasing acidic nature of oxides is 4. The change in enthalpy $[\Delta H]$ in $\mathrm{kJ} \mathrm{mol}^{-1}$ for the reaction, $\mathrm{Mg}+2 \mathrm{~F} \lon 5. Dipole-induced dipole interactions are present between which of the following pairs? 6. According to the Lewis formula of $\mathrm{O}_3$, the correct option is 7. A gaseous mixture of 2 moles of $A, 3$ moles of $B$, 5 moles of $C$ and 10 moles of $D$ is contained is contained in a v 8. The rate constant of a reaction is increased by 4 times after addition of catalyst to the reaction mixture at the same t 9. A cube of edge length 1 cm is divided into smaller cubes of uniform size of length 1 nm . Assuming that, no voids are pr 10. Calculate the number of moles of NaOH required to completely neutralise 100 g of $118 \%$ oleum. 11. A certain mass of a gas was brought from state $A$ to $B$ by following three different paths, namely 1,2 and 3 , respect 12. For the formation of ammonia gas from its constituent elements, the $K_p / K_C$ is 13. $$ \text { Match the following. } $$ .tg {border-collapse:collapse;border-spacing:0;} .tg td{border-color:black;bord 14. The most effective water softening method is 15. Potassium superoxide on hydrolysis gives 16. When aluminium chloride is dissolved in water, it gives 17. Among the following given substances, the one with zero $\Delta_f H^{\circ}$ is 18. Identify the chiral molecule among the following. 19. The most suitable solvent for Wurtz reaction is 20. Propyne was subjected to a reaction with $\mathrm{HgSO}_4 /$ dil. $\mathrm{H}_2 \mathrm{SO}_4$, which resulted in a prod 21. The correct option for axial distances and axial angles for hexagonal crystal system is 22. Which of the following is/are "not correct" for $\mathrm{CH}_3 \mathrm{OH}+\mathrm{CH}_3 \mathrm{COOH}$ mixture solution 23. Henry's law is valid for (A) ammonia gas dissolution in water (B) $\mathrm{O}_2$ gas dissolution in unsaturated blood (C 24. On passing a current of 1.2 A through a solution of salt of copper for $40 \mathrm{~min}, 0.96 \mathrm{~g}$ of copper wa 25. Half-life periods for a reaction at initial concentrations of 0.1 M and 0.01 M are 5 and 50 minutes, respectively. The o 26. Catalysts in the following reactions are (I) $\mathrm{CH}_3 \mathrm{COOCH}_3(l)+\mathrm{H}_2 \mathrm{O}(l)\longrightarro 27. The total number of paramagnetic gaseous products formed in all the following reactions $[A+B+C]$ are (A) $\mathrm{NH}_4 28. The main products $P$ and $Q$ of the following unbalanced disproportionation reaction $\mathrm{Se}_2 \mathrm{Cl}_2 \long 29. The correct order of acidity of $\mathrm{HClO}, \mathrm{HBrO}$ and HIO is 30. The linear molecule among the following is 31. Assertion (A) In general, transition metals have high melting points. Reason (R) More number of electrons from ' $(n-1) 32. Among the given complexes the possess " $\mathrm{CO}^{\prime \prime}$ as a bridged ligands are I. $\left[\mathrm{Co}_2(\ 33. The amount of sucrose needed to produce 1 mole of glucose using acid hydrolysis is 34. The order of reactivity of the following compounds towards dilute aqueous KOH in $\mathrm{S}_{\mathrm{N}} 1$ reaction is 35. $$ A, B, C, D \text { in the following reactions are } $$ 36. Which of the following statements are correct for phenol? (A) In general, phenol is more acidic than alcohol. (B) Phenol 37. $$ \text { The major product in the following reactions is } $$ 38. $$ \text { The major product of the following reaction is } $$ 39. $n$ - propanol on treatment with concentrated HBr gives $P$. The product $P$ on reaction with KCN gave the product $Q$. 40. The major product of the following synthetic sequence is

Mathematics

1. Let $R$ be the set of all real number Statement I The function $f:\left(-\frac{\pi}{2}, \frac{\pi}{2}\right) \rightarrow 2. Let $R$ be the set of all real numbers. Let $f: R \rightarrow R$ be a function defined by $$ f(x)=\left\{\begin{array}{r 3. If $A+B=\left[\begin{array}{lll}2 & 1 & 2 \\ 1 & 2 & 0 \\ 0 & 2 & 2\end{array}\right], A B=\left[\begin{array}{lll}1 & 2 4. If $A, P, B$ are $3 \times 3$ matrices. If $|-B|=5,\left|B A^T\right|=15$, $\left|P^T A P\right|=-27$, then one of the v 5. If $A$ is a $3 \times 3$ matrix and $|A|=\frac{1}{2}$, then $\left|A^{-1}(\operatorname{Adj}(\operatorname{Adj} A))\righ 6. Let $x=\alpha, y=\beta, z=\gamma$ be the unique solution of the system of simultaneous linear equations $2 x+3 y-2 z+4=0 7. If the point $(x, y)$ satisfies the equation $\frac{x+i(x-2)}{3+i}-i =\frac{2 y+i(1-3 y)}{i-3}$, then $x+y=$ 8. If $\cos \alpha+\cos \beta+\cos \gamma=0$ and $\sin \alpha+\sin \beta+\sin \gamma=0$ then $\cos 2 \alpha+\cos 2 \beta+\ 9. One of the values of $(-32 i)^{\frac{2}{5}}$ is 10. If the quadratic equations $x^2-7 x+3 c=0$ and $x^2+x-5 c=0$ have a common root, then for non-zero real value of $c$ the 11. II. Let $f(x)=\frac{6 x^2-18 x+21}{6 x^2-18 x+17}$. If $m$ is the maximum value of $f(x)$ and $f(x)>n \forall x \in R$. 12. If $\alpha, \beta, \gamma$ are the roots of the equation $x^3+x^2+x+r=0$ and $\alpha^3+\beta^3+\gamma^3=5$, then $r=$ 13. If $\frac{5}{2}$ is the sum of two roots of the equation $6 x^6-25 x^5+31 x^4-31 x^2+25 x-6=0$ then the sum of all non- 14. If $1-\sqrt{2}$ and $2+i$ are the roots of the equation $x^4+b x^3+c x^2+d x+e=0$ where $b, c, d, e$ are rational number 15. Let the transformed equation of $2 x^4-8 x^3+3 x^2-1=0$ so that the term containing the cubic power of $x$ is absent be 16. $a, b, c$ are three particular speakers among the 10 speakers of a meeting. The number of ways of arranging all 10 speak 17. The exponent of 6 in 72 ! is 18. If the 4 th term in the expansion of $\left(\frac{x}{2}-\frac{2 y}{3}\right)^6$ is -20, then $x y=$ 19. $$ \begin{aligned} & \text { If } \int \frac{(x+3)}{(x-1)^2(2 x-1)} d x \\ & =\frac{A}{x-1}+B \log (2 x-1)+C \log (x-1)+ 20. If $\frac{x^2+7}{\left(x^2+1\right)(x-2)}=\frac{A}{x-2}+\frac{B x+C}{x^2+1}$, then the determinant of the matrix $\left 21. If $\tan 15^{\circ}$ and $\tan 30^{\circ}$ are the roots of equation $x^2+p x+q=0$, then $p q=$ 22. If $\cos x+\cos y=p, \sin x+\sin y=q$, then $\cos \left(\frac{x-y}{2}\right)=$ 23. If $A+B+C=\frac{3 \pi}{2}$, then $4 \sin A \sin B \sin C+\cos 2 A+\cos 2 B+\cos 2 C=$ 24. $$ \frac{e^{4 x}+e^{-4 x}+14}{4\left(e^x-e^{-x}\right)^2}= $$ 25. If $\tanh x=\frac{1}{2}$, then $\sinh 2 x-\operatorname{sech} 2 x=$ 26. In $\triangle A B C$, if $A$ is acute, $C$ is obtuse, $\sin A=\frac{3 \sqrt{3}}{14}, a=3$ and $b=5$, then $c=$ 27. If $\Delta$ denotes the area of $\triangle A B C$, then $(b \sin C+c \sin B)(b \cos C+c \cos B)=$ 28. Let $A$ be the area of in-circle and $A_1, A_2, A_3$ be the area of ex-circles of a triangle. If $A_1=4, A_2=9, A_3=16$, 29. If $3 \hat{\mathbf{i}}-5 \hat{\mathbf{j}}+2 \hat{\mathbf{k}}, 7 \hat{\mathbf{i}}+2 \hat{\mathbf{j}}-4 \hat{\mathbf{k}}, 30. If $A(2 \hat{\mathbf{i}}+\hat{\mathbf{j}}-\hat{\mathbf{k}}), B(\lambda \hat{\mathbf{i}}+5 \hat{\mathbf{j}}+4 \hat{\mathb 31. Let a plane $P$ has the points $\hat{\mathbf{i}}, \hat{\mathbf{j}}$ and $\hat{\mathbf{i}}+\hat{\mathbf{j}}+\hat{\mathbf{ 32. Let $\mathbf{a}=\hat{\mathbf{i}}+\hat{\mathbf{j}}+\hat{\mathbf{k}}$ and $\mathbf{b}$ be two vectors such that $\mathbf{a 33. Let $\pi_1^{\prime}$ be the plane passing through the point $2 \hat{\mathbf{i}}-\hat{\mathbf{j}}+\hat{\mathbf{k}}$ and p 34. If $\mathbf{a}$ and $\mathbf{b}$ are two vectors such that $\mathbf{a}=2 \hat{\mathbf{i}}+2 \hat{\mathbf{j}}+p \hat{\mat 35. The mean deviation from the mean of the discrete data $1,3,4,7,11,18,29,47,78$ is 36. When two dice are thrown, the probability of getting a prime number on die and a composite number on the other is 37. Let $A, B, C$ be three pairwise independent events of a random experiment. If $P(\bar{B} \cup \bar{C})=\frac{1}{2}, P(A) 38. Two dice are thrown and the sum of the numbers appearing on the dice is observed to be a multiple of 4 . If $p$ is the c 39. In a random experiment of throwing 5 coins, the number of heads is defined as a random variable. The mean of the random 40. The variance of a Poisson variate $X$ is 2 . Then, $P(X \geq 3)=$ 41. If the perimeter of a triangle is 20 and two of its vertices are $(-5,0)$ and $(6,0)$, then the locus of the third verte 42. The transformed equation of $3 X^2+4 X Y+Y^2-8 X-4 Y-4=0$ is $f(X, Y)=a X^2+2 h X Y+b Y^2+c=0$ when the origin is shifte 43. If the line $2 x-3 y+4=0$ divides the line segment joining the points $A(-2,3)$ and $B(3,-2)$ in the ratio $m: n$, then 44. If the lines $L_1 \equiv 2 x+y+3=0, L_2 \equiv k x+2 y-3=0$ and $L_3 \equiv 3 x-2 y+1=0$ are concurrent then the cosine 45. If $Q$ is the image of the point $P(1,1)$ with respect to the straight line $x+y+1=0$, then the length of the perpendicu 46. The centroid of the triangle formed by the lines $x-3 y+3=0, x+3 y+3=0 x+y-1=0$ is 47. If the slope of one of the lines represented by $5 x^2+\frac{40}{3} x y+k y^2=0$ is 3 , then the angle between the pair 48. If a line $L$ is common to the pairs of lines $6 x^2-x y-12 y^2=0$ and $15 x^2+14 x y-8 y^2=0$ then the combined equatio 49. If $L$ is a line passing through the point $(-1,1)$ and parallel to the common line of the pairs of lines $6 x^2-x y-12 50. From a point $A(0,3)$ on the circle $(x+2)^2+(y-3)^2=4$, a chord $A B$ is drawn and it is extended to a point $Q$ such t 51. If $m_1, m_2$ are the slopes of the tangents drawn from a point $(1,-3)$ to the circle $x^2+y^2-6 x+4 y+12=0$, then $9\l 52. If $A, B$ are the points of contact of the tangents drawn from the point $P(-2,-3)$ to the circle $x^2+y^2-8 x-10 y+5=0$ 53. The equation of the transverse common tangent of the circles $x^2+y^2-6 x-8 y+9=0$ and $x^2+y^2+2 x-2 y+1=0$ 54. If $\theta$ is the angle between the circles $x^2+y^2-2 x-4 y-4=0$ and $x^2+y^2-8 x-12 y+43=0$, then $|7 \sec \theta-18 55. If $\left(0, \frac{3}{4}\right)$ is the radical centre of the circles $S \equiv x^2+y^2+\alpha x+6 y=0, S \equiv x^2+y^2 56. The vertex and the focus of the parabola $2 x^2+5 y-6 x+1=0$ respectively, are 57. The axis of a parabola is along the line $y=x$ and the distance of its vertex $A$ from $(0,0)$ is $\sqrt{2}$ and that of 58. Let $S \equiv \frac{x^2}{a^2}+\frac{y^2}{b^2}-1=0, S \equiv \frac{x^2}{\alpha^2}+\frac{y^2}{\beta^2}-1=0$ be two interse 59. $P\left(\theta_1\right)$ and $Q\left(\theta_2\right)$ 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 $\frac{x^2}{16}-\frac{y^2}{9}=1$ lying on the positive $X$ - axis and $P\left(5, y 61. If $P(\theta)=\left(x_1, \frac{3 \sqrt{5}}{2}\right), 0 62. If the points $A(1,3,5), B(2,4,6), C(4,5, k)$ form a right angled triangle then the number of possible values of $k$ is 63. Let $A=(3,4,0), B=(4,4,4), C=(-6,2,3)$ and $D=(1,1,2)$. If $\theta$ is the acute angle between the lines $A B$ and $C D$ 64. A plane containing two lines whose direction ratios are $(-1,2,1)$ and $(1,3,2)$ passes through the point $(2,1, k)$. If 65. Let $A=\left(a_{i j}\right)$ be an $n \times n$ matrix defined by $a_{i j}=\left\{\begin{array}{cc}k^i, & \forall i=j \\ 66. $$\mathop {\lim }\limits_{x \to \infty } {x^3}\left[\sqrt{x^2+\sqrt{x^4+1}}-\sqrt{2 x}\right]= $$ 67. Let $f(x)=\left\{\begin{array}{ccc}3-x & \text { if } & x3\end{array}\right.$ of points of discontinuity of $f$ and $\be 68. If $a f(x)+b f\left(\frac{1}{x}\right)=x+1$, and $\frac{d}{d x}\left(x^2 f(x)\right)=2 x^2+2 x+\frac{1}{3}$, then $a-b$ 69. If $f(x)=\sin \left(\cosh \left(\frac{x^2+1}{x^2+2}\right)\right)$, then $f^{\prime}(1)=$ 70. If an error of $0.02 \mathrm{sq} . \mathrm{cm}$ is found in the surface area of a sphere when its radius is measured as 71. If $\theta$ is the angle between the curves $y^2=4 x$ and $x^2+y^2=5$, then $|\tan \theta|=$ 72. The local maximum value of the function $f(x)=-(x-2)^3(x+2)^2$ is 73. If $\int \frac{1+\cos 8 x}{\tan 2 x-\cot 2 x} d x=f(x) \cdot \cos (g(x))+c$, then $f\left(\frac{1}{4}\right)+g\left(\fra 74. Let $x \neq \frac{-3}{5}, \frac{2}{5}$, if $f\left(\frac{2 x+1}{5 x+3}\right)=x+2$, then $\int f(x) d x=$ 75. If $\int e^x \cos x d x=\frac{e^x}{2}(\cos x+\sin x)$ and $$ \int \frac{\cos \left(\log \left(\frac{2 x+3}{3-2 x}\right) 76. $$ \int_1^2 x \sqrt{4-x^2} d x= $$ 77. If $[x]$ denotes the greatest integer function of $x$ and $$ \int_{-3 / 2}^{3 / 2}[2 x-3] d x=k, \text { then }\left|k+\ 78. The differential equation corresponding to the family of curves given by $a x^2+b y^2=1$, where $a$ and $b$ are arbitrar 79. For the differential equation $$ \sqrt{\frac{d^2 y}{d x^2}}=\sqrt[3]{\left[y \frac{d y}{d x}+x \sin \left(\frac{d y}{d x 80. The general solution of the differential equation $\frac{d y}{d x}=\frac{x y+x-2 y-2}{x y-2 x+y-2}$ is

Physics

1. Which of the following interaction is responsible for beta decay? 2. In a $R$ - $C$ circuit, where $R$ is resistance and $C$ is capacitance, which of the following has the dimension of time 3. A particle starts from rest. Its acceleration (a) versus time $(t)$ graph is as shown in the figure. The maximum speed o 4. Assertion (A) The zero velocity of a particle at any instant always implies zero acceleration at that instant. Reason (R 5. A river has a steady speed of $v$. A man swims upstream at a distance of $d$ and swims back to the starting point in tot 6. A projectile is given an initial velocity of $(3 \hat{\mathbf{i}}+4 \hat{\mathbf{j}}) \mathrm{m} / \mathrm{s}$ where $\h 7. A block is placed on a parabolic shape ramp given by equation, $y=\frac{x^2}{20}$. If the coefficient of static friction 8. A small object slides down with initial velocity equal to zero from the top of a smooth hill of height $H$. The other en 9. A moving particle collides with a stationary particle of mass $\frac{1}{n}$ times the mass of moving particle, the fract 10. A solid cylinder of mass $m$ and radius $R$ rolls down on an inclined plane of height 30 m without slipping. The speed o 11. A simple pendulum consists of a small sphere of mass $m$ suspended by a thread of length $l$. The sphere carries a posit 12. A rocket is fired vertically with a speed of $4 \mathrm{~km} / \mathrm{s}$ from the earth's surface. How far from the ea 13. A swimming pool has a depth of 22 m and area $700 \mathrm{~m}^2$. Calculate fractional change $\Delta v / v$ of water at 14. A hollow spherical body of outer and inner radii of 4 cm and 2 cm respectively, floats half submerged in a liquid of den 15. What is the terminal velocity of a rain drop of radius 0.02 mm ? [Note that the coefficient of viscosity of air is $1.8 16. A hole of diameter 5 cm is drilled in a metal sheet at $30^{\circ} \mathrm{C}$. The linear expansion of metal is $2 \tim 17. A metal cube absorbs 2100.0 J of heat when its temperature is raised by $2^{\circ} \mathrm{C}$. If the specific heat of 18. The net work done by an ideal gas going through the cycle as shown in the $p-V$ diagram below is 19. A diatomic gas $\left(C_p=\frac{7}{2} R\right)$ does 200 J of work when it is expanded isobarically. The heat given to t 20. Statement I Gas thermometers are less sensitive than liquid thermometers. Statement II The ratio of universal gas consta 21. The distance between two successive minima of a transverse wave is 2.7 m . Five crests of the wave pass a given point al 22. A convex lens focusses an object 20 cm from it on a screen placed 5 cm away from it. A glass plate (refractive index $=7 23. The angular width of a fringe in a double slit experiment is found to be $0.2^{\circ}$ on a screen 1 m away the waveleng 24. A large metal plate has a surface charge density of $8.85 \times 10^{-6} \mathrm{C} / \mathrm{m}^2$. An electron having 25. The equivalent capacitance between points $A$ and $B$ is 26. A cylindrical metallic wire is stretched to increase its length in such a way that the metallic wire changes its resista 27. Find the current in the three resistors as shown in the following figure? 28. A horizontal wire carries 160 A current below which another wire of linear density $10 \mathrm{~g} / \mathrm{m}$ carryin 29. A long solenoid has 70 turns / cm and carries current $I$. An electron moves within the solenoid in a circle of radius 2 30. Assertion (A) The magnetic field lines are continuous and form closed loops. Reason (R) Magnetic monopole does not exist 31. A flat circular coil has 100 turns of wire of radius 10 cm . A uniform magnetic field exists in a direction perpendicula 32. A $2 \mu \mathrm{~F}$ capacitor is charged to 50 V by a battery. The battery is removed after capacitor if fully charged 33. An electromagnetic wave has its electric and magnetic fields given by $$ \mathbf{E}(t)=\mathbf{E}_m \sin (k x-\omega t) 34. The value of planck's constant, if the slope of the graph of stopping potential versus frequency of incident light is $4 35. A beam of white light is incident normally on a plane surface absorbing 70\% of the light and reflecting the rest. If th 36. If the series limit frequency of Balmer series is $v_B$, then the series limit frequency of the Brackett series is 37. Consider a nucleus ${ }_{30}^{60} \mathrm{X}$. Its approximate density is (take, $1 \mathrm{amu}=1.6 \times 10^{-27} \ma 38. The resistivity of a material is found to be $10^8 \Omega-\mathrm{m}$, then the material would be 39. The behaviour of the circuit is like $\_\_\_\_$ gate 40. A message signal of frequency 15 kHz is used to modulate a carrier of frequency $v_c$. If the side bands produced are 15

TS EAMCET 2022 (Online) 18th July Evening Shift

MCQ (Single Correct Answer)

-0

If $\int e^x \cos x d x=\frac{e^x}{2}(\cos x+\sin x)$ and

$$ \int \frac{\cos \left(\log \left(\frac{2 x+3}{3-2 x}\right)\right)}{(3-2 x)^2} d x=\frac{f(x)}{24}[\cos (g(x))+\sin (g(x))]+c $$

then $g(1)=$

$\log f(2)$

$\log f(1)$

TS EAMCET 2022 (Online) 18th July Evening Shift

MCQ (Single Correct Answer)

-0

$$ \int_1^2 x \sqrt{4-x^2} d x= $$

$\sqrt{3}$

$1 / \sqrt{3}$

$1 / 2$

TS EAMCET 2022 (Online) 18th July Evening Shift

MCQ (Single Correct Answer)

-0

If $[x]$ denotes the greatest integer function of $x$ and

$$ \int_{-3 / 2}^{3 / 2}[2 x-3] d x=k, \text { then }\left|k+\frac{1}{2}\right|= $$

TS EAMCET 2022 (Online) 18th July Evening Shift

MCQ (Single Correct Answer)

-0

The differential equation corresponding to the family of curves given by $a x^2+b y^2=1$, where $a$ and $b$ are arbitrary constants is

$x \frac{d^2 y}{d x^2}=\frac{d y}{d x}$

$x y \frac{d^2 y}{d x^2}+x\left(\frac{d y}{d x}\right)^2-y \frac{d y}{d x}=0$

$x y \frac{d^2 y}{d x^2}+y\left(\frac{d y}{d x}\right)^2-x \frac{d y}{d x}=0$

$x y \frac{d^2 y}{d x^2}-x\left(\frac{d y}{d x}\right)^2+y \frac{d y}{d x}=0$

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