TS EAMCET 2023 (Online) 14th May Evening Shift | TS EAMCET Year Wise Previous Years Questions

Chemistry

1. A 100 W bulb emits light of wavelength $x \mathop {\rm{A}}\limits^{\rm{o}} $. What is the value of $x$, if the number of 2. The ratio of the difference in energy between the first and second Bohr orbits to that between the second and third orbi 3. Assertion (A) First ionisation enthalpy of oxygen is less than that of nitrogen. Reason (R) Atoms with half-filled or co 4. In which of the following, molecules are arranged in the increasing order of their bond angles? 5. Arrange the molecules $\mathrm{B}_2, \mathrm{He}_2, \mathrm{~N}_2$ and $\mathrm{C}_2$ in the increasing order of their b 6. Two containers $A$ and $B$ contain $\mathrm{CO}_2$ gas. Pressure, volume and absolute temperature of the gas in $A$ are 7. The oxidation states of three carbon atoms in carbon suboxide $\left(\mathrm{C}_3 \mathrm{O}_2\right)$ respectively are 8. At $T(\mathrm{~K}) 2$ mole of an ideal gas is allowed to expand reversibly and isothermally from a pressure of 10 atmosp 9. At 298 K the molar solubility of $\mathrm{Cd}(\mathrm{OH})_2$ in $0.1 \mathrm{M} \mathrm{KOH}_{\mathrm{OH}}$ solution is 10. Zeolite is a silicate of two metal ions $X$ and $Y . X$ and $Y$ are respectively 11. Identify the incorrect reaction from the following. 12. In the reaction I and II the covalencies of Be and Al in $X$ and $Y$ are respectively I. $\mathrm{Be}(\mathrm{OH})_2+\un 13. Tha atomic radius of gallium is less than that of aluminium. This is due to 14. Which of the following has lowest melting point? 15. Arrange the following in the correct order of their acidic strength. I. $\mathrm{H}_2 \mathrm{C}=\mathrm{CH}_2$ II. $\ma 16. $$ \mathrm{C}_3 \mathrm{H}_4+\mathrm{H}_2 \mathrm{O} \xrightarrow[333 \mathrm{~K}]{\mathrm{Hg}^{2+} / \mathrm{H}^{+}}[X] 17. Addition of HBr to propene in presence of a peroxide takes place contrary to Markownikoff rule. This can be explained by 18. The rate of attack of an electrophile is least when $X$ in the given compound is 19. In the structure of a solid, W atoms are located at the cube corners of the unit cell, O atoms are located at the cube e 20. An aqueous solution of a non-volatile solute boils at $100.17^{\circ} \mathrm{C}$. The temperature at which this solutio 21. A possible mechanism for the gaseous reaction $2 \mathrm{H}_2+2 \mathrm{NO} \longrightarrow 2 \mathrm{H}_2 \mathrm{O}+\m 22. The reduction potential of a half-cell consisting of a Pt electrode immersed in $2.0 \mathrm{M} \mathrm{Fe}^{2+}$ and $0 23. The sol prepared by Bredig's arc method is $X$ and the charge of sol particles of it is $q . X$ and $q$ are respectively 24. The metal which is refined by Mond process is $(X)$, by van Arkel process is $(Y)$ and by zone refining is $(Z), X, Y$ a 25. The product formed during thermal decomposition of ammonium dichromate are 26. Among the hydrides of group 16 elements, the hydride $X$ has lowest boiling point and the hydride $Y$ has highest boilin 27. Sodium nitrite with hydrochloric acid gives water alongwith two nitrogen oxides. They are 28. Identify the incorrect statement about the interhalogen compounds. 29. In +2 oxidation state, which of the following lanthanoids act as reducing agents? 30. The sum of oxidation state and co-ordination number of central metal atom is maximum with respect to which of the follow 31. $$ \text { Match the following. } $$ $$ \begin{array}{llll} \hline & \text { List-I (Polymer type) } & & \text { List-II 32. From the following, the correct statements about polysaccharides are I. Starch is a polymer of $\alpha-\mathrm{D}(+)$-gl 33. Which of the following acts as antihistamine? 34. Identify the halogen exchange reaction from the following. 35. Identify the major product $Y$ in the given reaction sequence. 36. Conversion of $X$ into $Y$ is an example of the reaction 37. The main reactants involved in Etard reaction are 38. $$ \text { The major product ' } Z \text { ' in the reaction sequence is } $$ 39. Arrange the following in the order of decreasing basicity. I. $\mathrm{RN}=\mathrm{CH} R^1$ II. $\mathrm{RC} \equiv \mat 40. Which one of the following gives a foul-smelling substance when treated with chloroform and alcoholic KOH ?

Mathematics

1. Let $f: R \rightarrow R$ be a function defined by $$ f(x)=\left\{\begin{array}{cc} x^2-4 x+3, & \text { if } x Then, the 2. If $f(x)$ and $g(x)$ are two real valued functions such that $f(x)=3 x-2$ and $g(x)=x^2+2$, then $[(g \circ f)+(f \circ 3. If $f(x)$ is a real valued function defined by $f(x)=\frac{a x^{10}+b x^8+c x^6+d x^4+e x^2+12 x+15}{x}(x \neq 0)$ and $ 4. If $X_{4 \times 3}, Y_{4 \times 3}$ and $P_{2 \times 3}$ are the matrices, then the order of the matrix $\left[P\left(X^ 5. If $A=\left[\begin{array}{ll}1 & 2 \\ 3 & 5\end{array}\right]$ and $\alpha, \beta \in R$ are such that $\alpha A^2-\beta 6. If $\left|\begin{array}{ccc}(1+\alpha)^2 & (1+2 \alpha)^2 & (1+3 \alpha)^2 \\ (2+\alpha)^2 & (2+2 \alpha)^2 & (2+3 \alph 7. If the system of equations $x+y+z=5, x+2 y+2 z=6$ and $x+3 y+\lambda z=\mu(\lambda, \mu \in R)$ is solvable by Matrix I 8. If $x=a+b, y=a \alpha+b \beta, z=a \beta+b \alpha$ and $\alpha, \beta$ are the complex cube roots of unity, then $x^3+y^ 9. If $z=\frac{3+2 i \cos \theta}{1-2 i \sin \theta}$ is a purely imaginary number, then $$ \sin ^2 \theta+\cos ^2 3 \theta 10. If $z=x+i y$ is a complex number such that $z \bar{z}^3+\bar{z} z^3=350$ and $x, y$ are integers, then $|z|=$ 11. If $\alpha$ and $\beta$ are the roots of the equation $x^2+x+1=0$, then $(\alpha+\beta)^2+\left(\alpha^2+\beta^2\right)^ 12. The least positive integral value of $n$ such that $\left[\frac{1+\sin \frac{2 \pi}{9}+i \cos \frac{2 \pi}{9}}{1+\sin \f 13. If $\alpha, \beta$ are the roots of $x^2+a x+2=0$ and $1 / \alpha, 1 / \beta$ are the roots of $x^2-b x+c=0$, then $$ \l 14. The sum of all the real values of $x$ satisfying the equation $\left(x^2-7 x+11\right)^{x^2-6 x-7}=1$ is 15. If a polynomial $P(x)$ given by $P(x)=2 x^4+a x^3+b x^2+c x+d$ is such that $P(1)=4$, $P(2)=7, P(3)=12$ and $P(4)=19$, t 16. If the roots of the equation $k x^3-18 x^2-36 x+8=0$ are in harmonic progression, then $k=$ 17. If $\alpha, \beta, \gamma$ are the roots of the equation $x^3+x^2+x+1=0$, then match the items of List I with those of L 18. The number of odd numbers greater than 600000 that can be formed by using the digits $3,6,7,8,9,0$ without repetition is 19. There are three sections in a question paper, each section containing 4 questions. If a candidate has to answer only 5 q 20. The term independent of $x$ in the expansion of $\left(1-3 x+2 x^3\right)\left(\frac{3 x^2}{2}-\frac{1}{3 x}\right)^9$ i 21. If $\sum_{r=0}^{20}{ }^{20+r} C_r=\frac{p}{q}{ }^{40} C_{20}$ and GCD of $(p, q)=1$, then $p^2-q^2=$ 22. If $x=\frac{2 \cdot 5}{2!3}+\frac{2 \cdot 5 \cdot 7}{3!3^2}+\frac{2 \cdot 5 \cdot 7 \cdot 9}{4!3^3}+\ldots$, then $x^2+8 23. If the coefficient of $x^4$ in the expansion of $\frac{x}{(x-1)^2(x-2)}$ is $\frac{m}{n}$ and $|m|,|n|$ are coprimes, th 24. If $\frac{\sin ^4 x}{2}+\frac{\cos ^4 x}{3}=\frac{1}{5}$, then $27 \sec ^6 \alpha+8 \operatorname{cosec}^6 \alpha=$ 25. If $\tan \beta=\frac{n \sin \alpha \cos \alpha}{1-n \cos ^2 \alpha}$, then $\tan (\alpha+\beta) \cdot \cot \alpha=$ 26. If $\cos A+\cos B+\cos C=0=\sin A+\sin B+\sin C$, then $\cos (A-B)+\cos (B-C)+\cos (C-A)=$ 27. If $\sin x \cdot \cosh y=\cos \theta$ and $\cos x \cdot \sinh y=\sin \theta$, then $\sin ^2 x+\cosh ^2 y=$ 28. In $\triangle A B C$, if $a, b, c$ are in arithmetic progression and $A=2 C$, then $b: c=$ 29. Assertion (A) In $\triangle A B C$, if $r=6, r_2=36, R=15$, then $c^2+a^2=b^2$. Reason (R) In $\triangle A B C$, if $r: 30. If $\mathbf{a}, \mathbf{b}, \mathbf{c}$ are unit vectors such that $\mathbf{a}$ is perpendicular to both $\mathbf{b}, \m 31. Let $\mathbf{a}=2 \hat{\mathbf{i}}-\hat{\mathbf{j}}+\hat{\mathbf{k}}$ be the position vector of a point $A$. Let $\mathb 32. If $S$ is the circumcentre, $O$ is the orthocentre and $G$ is the centroid of a $\triangle A B C$, then match the items 33. Let $\mathbf{a}, \mathbf{b}, \mathbf{c}$ be three vectors such that $\mathbf{a} \cdot \mathbf{a}=\mathbf{b} \cdot \mathb 34. Let $\mathbf{c}$ be a vector coplanar with the unit vectors $\mathbf{a}, \mathbf{b}$ and let $\mathbf{d}$ be the unit ve 35. The mean and standard deviation of 100 observations were calculated as 40 and 5.1 respectively. Later on it was found th 36. If a matrix is chosen at random from the set of all $3 \times 3$ non-zero matrices whose entries are the elements of the 37. A boy throws an unbiased die. Whenever he gets 1 on the die he has a further chance to throw it once again immediately. 38. There are 10 coins in a box out of which 8 are normal and the remaining are with heads on both sides. A coin is chosen a 39. $$ \text { A random variable } X \text { has the following distribution, } $$ $$ \begin{array}{lllllll} \hline X=x_i & - 40. A straight line passing through a fixed point $(-3,4)$ intersects the coordinate axes at $A$ and $B$. If $O$ is the orig 41. When the origin is shifted to the point $P$ by translation of axes, the equation $2 x^2+y^2-4 x+4 y=0$ is transformed to 42. If the circumcenter of the triangle formed by the points $A(a, 3), B(b, 5)$ and $C(a, b)$ is $(1,1)$, then out of all th 43. If the lines $x+y-1=0, k x+2 y+1=0$ and $4 x+2 k y+7=0$ are concurrent, then $k=$ 44. If $\alpha, \beta(\alpha>\beta)$ are two values of $k$ such that the equations $2 x+(3-2 k) y+(2 k+1)=0$ and $k x+(k-1) 45. If $k=\frac{a+b}{a b}$ is a non-zero constant, then the point which lies on the straight line $\frac{x}{a}+\frac{y}{b}=1 46. The point of concurrence of all the chords of the curve $3 x^2-y^2-2 x+4 y=0$ which subtend a right angle at the origin 47. The equation of a circle passing through $(-6,3)$ and touching both the coordinates axes is 48. The area (in sq units) of the triangle formed by the $x$-axis, the tangent and the normal drawn to the circle $x^2+y^2=1 49. The number of common tangents of the circles $x^2+y^2-4=0$ and $x^2+y^2-6 x-8 y-24=0$ is 50. If the equation of the circle whose radius is $\sqrt{10}$ and which touches the circle $x^2+y^2+2 x+8 y-23=0$ externally 51. If a circle ' $S$ ' passing through the origin and having its centre on the line $x-y=0$ cuts the circle $x^2+y^2-4 x-6 52. The equation of the circle passing through the points of intersection of the circles $x^2+y^2+6 x+4 y-12=0$, $x^2+y^2-4 53. If $\mathbf{A B}$ is the focal chord of the parabola $y^2=16 x$ and $A=(1,-4)$, then the equation of the normal to the p 54. If one of the vertices of an equilateral triangle inscribed in the parabola $y^2=12 x$ coincides with the vertex of the 55. If an ellipse with its axes as coordinate axes, $2 a$ and $2 b$ as the lengths of its major and minor axes respectively 56. The values of $c$ such that the line $y=4 x+c$ touches the ellipse $\frac{x^2}{4}+\frac{y^2}{1}=1$ is 57. If the line $2 x+\sqrt{6} y=2$ touches the hyperbola $x^2-2 y^2=4$, then the coordinates of the point of contact are 58. If the circumcenter of the triangle formed by the points $(1,2,3),(3,-1,5)$ and $(4,0,-3)$ is $(\alpha, \beta, \gamma)$, 59. If $\theta$ is the acute angle between the two lines whose direction cosines are connected by the relations $l+m+n=0$ an 60. If the foot of the perpendicular drawn from the point $(1,0,-2)$ to the plane $\pi$ is $(2,0,-1)$ and the equation of th 61. $$ \begin{array}{r} \lim _{x \rightarrow 0} \frac{2 \tan x+\cos x-1+x}{\sqrt{4 \sin ^2 x+2 \tan x+1}}= \\ -\sqrt{3 \tan 62. If a function $f$ is defined by $f(x)=\frac{\cot ^3 x-\tan x}{\cos (x+\pi / 4)},(x \neq \pi / 4)$, then $\lim _{x \right 63. If $f(x)=\sqrt{x}(x \geq 0)$ and $g(x)=1+x^2$, then $(f \circ g)^{\prime}(1)=$ 64. Match the values of $\frac{d y}{d x}$ at $x=\frac{\pi}{3}$ for the following system of curves in parametric form given i 65. If $y=x \sin x$ and $\frac{\frac{d y}{d x}-\frac{y}{x}}{x \frac{d y}{d x}-y}$ at $x=\alpha$ is 1 , then $\alpha=$ 66. A ladder of length 13 m has one end resting against a vertical wall and the other on the ground. If the lower end moves 67. An angle between the curves $x^2-y^2=4$ and $x^2+y^2=4 \sqrt{2}$ is 68. The maximum volume (in cu. units) of the cylinder which can be inscribed in a sphere of radius 12 units is 69. $$ \int \frac{\tan x}{\sec ^2 x\left(1+\sec ^6 x\right)^{\frac{2}{3}}} d x= $$ 70. $$ \int \frac{1}{(x-1)^{\frac{5}{7}}(x+1)^{\frac{9}{7}}} d x= $$ 71. $\int \frac{1+\sqrt{3} \cot x}{1-\sqrt{3} \cot x} d x=$ 72. $$ \begin{aligned} & \text { If } \int \frac{1}{\operatorname{cosec} x+\cos x} d x=\frac{1}{2 \sqrt{3}} \log |f(x)| \\ & 73. $$ \int_0^{\pi / 2} \frac{x \tan x \sec ^2 x}{\tan ^4 x+1} d x= $$ 74. $$ \int_3^6 \frac{\sqrt{x}}{\sqrt{9-x}+\sqrt{x}} d x= $$ 75. $$ \lim _{n \rightarrow \infty}\left[\left(1+\frac{1}{n^2}\right)\left(1+\frac{2^2}{n^2}\right) \ldots(2)\right]^{1 / n} 76. The area (in sq units) of the region bounded by the circle $x^2+y^2=64$, positive $X$-axis and the line $y=\sqrt{3} x$ i 77. If $a$ and $b$ are the arbitrary constants, then the differential equation corresponding to the family of curves given b 78. If the solution for the differential equation $y^2 d x+\left(x^2-x y-y^2\right) d y=0$ at $(2,1)$ is $x+y=k\left(x y^2-y 79. The general solution of the differential equation $\frac{d y}{d x}+\frac{y}{x}=x^2$ is 80. The number of ways in which 6 men and 4 women can be seated around a table, so that a particular man and a particular wo

Physics

1. Match the following. (Take the relative strength of the strongest fundamental forces in nature as one) .tg {border-co 2. A physical quantity $X$ is given by $X=\frac{2 k^3 l^2}{m \sqrt{n}}$. The percentage errors in the measurements of $k, l 3. The displacement-time graphs of two moving particles make angles of $30^{\circ}$ and $45^{\circ}$ with the time axis. Th 4. A projectile is given an initial velocity of $\hat{\mathbf{i}}+2 \hat{\mathbf{j}} \mathrm{~ms}^{-1}$. The cartesian equa 5. If the radii of circular path of two particles of same mass are in the ratio of $1: 2$, then to have a constant centripe 6. The angle between force $\mathbf{F}=3 \hat{\mathbf{i}}+4 \hat{\mathbf{j}}-5 \hat{\mathbf{k}}$ and displacement $\mathbf{ 7. A bomb of mass 16 kg explodes into two pieces of masses 4 kg and 12 kg . The velocity of the 12 kg mass is $4 \mathrm{~m 8. A constant torque acting on a uniform circular wheel changes its angular momentum from $A_0$ to $4 A_0$ in 4 seconds. Th 9. A particle performs uniform circular motion with an angular momentum $L$. If the frequency of the particle's motion is d 10. The displacement of a particle is given by the relation $x=4(\cos \pi t+\sin \pi t)$. The amplitude of the particle is 11. A body of mass $m$ is at height $R$ from the surface of the earth where $R$ is the radius of the earth. If the body is t 12. The ratio of the areas of cross-sections of three wires is $1: 2: 3$ and the ratio of the Young's modulii of their mater 13. When a large bubble rises from the bottom of a lake to the surface, the volume of the bubble becomes 5 times its volume 14. A water drop breaks into 64 identical droplets of each surface area $10^{-7} \mathrm{~m}^2$. If the surface tension of w 15. Steam at $100^{\circ} \mathrm{C}$ is added to 150 g water to increase its temperature from $20^{\circ} \mathrm{C}$ to $4 16. A blacksmith fixes circular iron frame on the wooden wheel of a bullock cart. The diameter of wooden wheel and circular 17. Two moles of triatomic gas $\left(\gamma=\frac{4}{3}\right)$ at temperature $327^{\circ} \mathrm{C}$ expands adiabatical 18. If the temperature of a gas is increased from $27^{\circ} \mathrm{C}$ to $159^{\circ} \mathrm{C}$, then the percentage i 19. A source emitting sound is tied to one end of a string of length 50 cm and is rotated with an angular speed of $40 \math 20. One end of a string is tied to the ceiling of a lift and a load is attached at the bottom end of the string. When the li 21. The focal lengths of the objective and the eyepiece of a compound microscope are 2 cm and 3 cm respectively and the dist 22. In a single slit diffraction, the slit is illuminated with light of wavelength $6000 \mathop {\rm{A}}\limits^{\rm{o}}$. 23. A hollow spherical shell of radius $r$ has a uniform charge density $\sigma$. It is kept in a cube of edge $3 r$ such th 24. The circuit shows two capacitor $A$ and $B$ of capacitances $C$ and $2 C$ respectively. When they are fully charged, the 25. A uniform conducting wire $A B$ of length 5 m and resistance $5 \Omega$ is connected as shown in the circuit. If the bal 26. In the given circuit, the equivalent resistance between $A$ and $B$ is 27. A square loop of side $a$ and carrying a current $I$ is suspended from an insulating hanger of a spring balance as shown 28. A current carrying loop is placed in a uniform magnetic field $B$ in different orientations I, II, III and IV as shown i 29. A bar magnet of magnetic moment $2 \mathrm{~A}-\mathrm{m}^2$ lies aligned with the direction of a uniform magnetic field 30. A conducting rod is moving towards right with a velocity $v$ in a uniform magnetic field $B$. If the direction of induce 31. A coil has a resistance of $30 \Omega$ and an inductive reactance of $20 \Omega$ at 50 Hz frequency. If an AC source of 32. A current $i$ is flowing through a wire of length ' $L$ '. If it is made into a circular loop of one turn, then its magn 33. Energy released in the fission of a single uranium nucleus is 200 MeV . Then the number of fissions per second to produc 34. Match the electromagnetic radiations given in List-I with their uses given in List-II .tg {border-collapse:collapse;bor 35. The ratio of longest wavelengths of the spectral lines in the Lyman and Balmer series of hydrogen spectrum is 36. The graph given in the figure shows the variation of photo current $(I)$ and the applied voltage ( $V$ ) for two differe 37. Half-life of a radioactive substance $A$ is two times the half-life of another radioactive substance $B$. Initially the 38. When an $n$-type semiconductor is heated 39. 5 logic gates are connected as shown in the figure. If $A$ and $B$ are the inputs, $Y$ is the output then the truth tabl 40. Consider the following statements regarding digital signals (i) provide a continuous set of values (ii) represent values

TS EAMCET 2023 (Online) 14th May Evening Shift

MCQ (Single Correct Answer)

-0

$\int \frac{1+\sqrt{3} \cot x}{1-\sqrt{3} \cot x} d x=$

$-\frac{x}{2}+\frac{\sqrt{3}}{2} \log \left|\sin \left(x-\frac{\pi}{3}\right)\right|+C$

$\frac{x}{2}+\frac{\sqrt{3}}{2} \log \left|\sin \left(x-\frac{\pi}{3}\right)\right|+C$

$-\frac{x}{2}-\frac{\sqrt{3}}{2} \log \left[\sin \left(x-\frac{\pi}{3}\right)\right]+C$

$\frac{x}{2}-\frac{\sqrt{3}}{2} \log \left|\sin \left(x-\frac{\pi}{3}\right)\right|+C$

TS EAMCET 2023 (Online) 14th May Evening Shift

MCQ (Single Correct Answer)

-0

$$ \begin{aligned} & \text { If } \int \frac{1}{\operatorname{cosec} x+\cos x} d x=\frac{1}{2 \sqrt{3}} \log |f(x)| \\ & -\int \frac{\cos x-\sin x}{2+\sin 2 x} d x+c, \text { then at } x=\frac{\pi}{3},|f(x)|= \end{aligned} $$

$\frac{3 \sqrt{3}-1}{\sqrt{3}+1}$

$\frac{3 \sqrt{3}+1}{\sqrt{3}+1}$

$\frac{6 \sqrt{3}-2}{\sqrt{3}+1}$

$\frac{6 \sqrt{3}+2}{\sqrt{3}+1}$

TS EAMCET 2023 (Online) 14th May Evening Shift

MCQ (Single Correct Answer)

-0

$$ \int_0^{\pi / 2} \frac{x \tan x \sec ^2 x}{\tan ^4 x+1} d x= $$

$\pi^2 / 16$

$\pi^2 / 4$

$\pi^2 / 8$

$\pi^2 / 32$

TS EAMCET 2023 (Online) 14th May Evening Shift

MCQ (Single Correct Answer)

-0

$$ \int_3^6 \frac{\sqrt{x}}{\sqrt{9-x}+\sqrt{x}} d x= $$

$1 / 2$

$3 / 2$

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