AP EAPCET 2024 - 21th May Morning Shift | AP EAPCET Year Wise Previous Years Questions

Chemistry

1. The energy of third orbit of $\mathrm{Li}^{2+}$ ion (in J ) is 2. The number of $d$ electrons in Fe is equal to which of the following? (i) Total number of ' $s$ ' electrons of Mg . (ii) 3. The correct order of atomic radii of given element is 4. Which of the following orders are correct regarding their covalent character? (i) $\mathrm{KF} (ii) $\mathrm{LiF} (iii) 5. $$ \text { Observe the following sets. } $$ $$ \begin{array}{lll} \hline \text { Order } & \text { Property } \\ \hline 6. The RMS velocity ( $u_{\mathrm{rms}}$ ) of one mole of an ideal gas was measured at different temperatures and the follo 7. Two statements are given below. Statement I : Viscosity of liquid decreases with increase in temperature. Statement II : 8. 0.1 mole of potassium permanganate was heated at $300^{\circ} \mathrm{C}$. What is weight (ing) of the residue? $$ (\m 9. Identify the correct statements from the following. I. $\Delta_r G$ is zero for $A \rightleftharpoons B$ reaction. II. T 10. Observe the following reactions. $$ \begin{array}{ll} A B(g)+25 \mathrm{H}_2 \mathrm{O}(l) \longrightarrow\left(25 \math 11. $K_C$ for the reaction, $A_2(g) \stackrel{T(\mathrm{~K})}{\rightleftharpoons} B_2(\mathrm{~g})$ is 39.0. In a closed o 12. At $T(\mathrm{~K})$, the solubility product of $A X$ is $10^{-10}$. What is the molar solubility of $A X$ in 0.1 MHX ? 13. The equation that represents 'coal gasification' is 14. As per standard reduction potential values, which is the strongest reducing agent among the given elements? 15. A Lewis acid ' $X$ ' reacts with $\mathrm{LiAlH}_4$ in ether medium to give a highly toxic gas. ${ }^{\prime} Y^{\prime} 16. The method for preparation of water gas is 17. The BOD values for pure water and highly polluted water are respectively. 18. A mixture of ethyl iodide and $n$-propyl iodide is subjected to Wurtz reaction. The hydrocarbon which will not be forme 19. Which of the following alkenes does not undergo anti Markownikoff addition of HBr ? 20. What are the variables in the graph of powder diffraction pattern of a crystalline solid? 21. 100 mL of $\frac{M}{10} \mathrm{Ca}\left(\mathrm{NO}_3\right)_2$ and 200 mL of $\frac{M}{10} \mathrm{KNO}_3$ solutions a 22. A solution was prepared by dissolving 0.1 mole of a non- volatile solute in 0.9 moles of water. What is the relative low 23. The standard free energy change $\left(\Delta G^{\circ}\right)$ for the following reaction (in kJ ) at $25^{\circ} \mat 24. The rate constant of a first order reaction is $3.46 \times 10^{-2} \mathrm{~s}^{-1}$ at 298 K . What is the rate consta 25. The correct statement regarding chemisorption is 26. Which of the following is incorrectly matched? 27. Improve silver ore $+\mathrm{CN}^{-}+\mathrm{H}_2 \mathrm{O} \xrightarrow{\mathrm{O}_2}[\mathrm{X}]^{-}+\mathrm{OH}^{-}$ 28. In the reaction of sulphur with concentrated sulphuric acid, the oxidised product is $X$ and reduced product is $Y, X$ a 29. Which of the following lanthanoids have [Xe] $4 f^x 5 d^1 6 s^2$ configuration in their ground state. $$ (X=1-14) $$ 30. How many of the following ligands are stronger than $$ \begin{aligned} & \mathrm{H}_2 \mathrm{O} \text { ? } \\ & \mathr 31. $$ \text { The common monomer for both terylene and glyptal is } $$ 32. Which of the following structure of proteins represellis its constitution? 33. Carrot and curd are sources for the vitamins repectively. 34. $$ \text { Match the following. } $$ .tg {border-collapse:collapse;border-spacing:0;} .tg td{border-color:black;border 35. The major products $X$ and $Y$ respectively from the following reactions are 36. An isomer of $\mathrm{C}_5 \mathrm{H}_{12}$ on reaction with $\mathrm{Br}_2$ /light gave only one isomer $\mathrm{C}_5 \ 37. What are the major products $X$ and $Y$ respectively in the following reactions? $$ \begin{aligned} & \left(\mathrm{CH}_ 38. Match the following reagents with the products obtained when they reacted with a ketone. .tg {border-collapse:collaps 39. What are $X$ and $Y$ respectively in the following reactions? 40. Arrange the following in decreasing order of their basicity.

Mathematics

1. The domain of the real valued function $f(x)$ $=\log _2 \log _3 \log _5\left(x^2-5 x+11\right)$ is 2. The range of the real valued function $f(x)=\left(\frac{x^2+2 x-15}{2 x^2+13 x+15}\right)$ is 3. $\frac{1}{1 \cdot 5}+\frac{1}{5 \cdot 9}+\frac{1}{9 \cdot 13}+\ldots$. upto $n$ terms $=$ 4. If $A=\left|\begin{array}{lll}2 & 3 & 4 \\ 1 & k & 2 \\ 4 & 1 & 5\end{array}\right|$ is singular matrix, then the quadra 5. Let $A$ be a $4 \times 4$ matrix and $P$ be is adjoint matrix, If $|P|=\left|\frac{A}{2}\right|$ then $\left|A^{-1}\righ 6. The system $x+2 y+3 z=4,4 x+5 y+3 z=5,3 x+4 y+3 z=\lambda$ is consistent and $3 \lambda=n+100$, then $n=$ 7. The complex conjugate of $(4-3 i)(2+3 i)(1+4 i)$ is. 8. If the amplitude of $(z-2)$ is $\frac{\pi}{2}$, then the locus of $z$ is 9. If $\omega$ is the cube root of unity, $$ \frac{a+b \omega+c \omega^2}{c+a \omega+b \omega^2}+\frac{a+b \omega+c \omega 10. Roots of the equation $a(b-c) x^2+b(c-a) x+c(a-b)=0$ are 11. If $(3+i)$ is a root of $x^2+a x+b=0$, then $a=$ 12. The algebraic equation of degree 4 whose roots are translate of the roots of the equation. $x^4+5 x^3+6 x^2+7 x+9=0$ by 13. If the roots of the equation $4 x^3-12 x^2+11 x+m=0$ are in arithmetic progression, then $m=$ 14. The number of 5 -digit odd numbers greater than 40000 that can be formed by using 3,4,5,6,7,0 so that at least one of it 15. The number of ways in which 3 men and 3 women can be arranged in a row of 6 seats, such that the first and last seats mu 16. If a committee of 10 members is to be formed from 8 men and 6 women, then the number of different possible committees in 17. If the eleventh term in the binomial expansion of $(x+a)^{15}$ is the geometric mean of the eighth and twelfth terms, th 18. The sum of the rational terms in the binomial expansion of $\left(\sqrt{2}+3^{1 / 5}\right)^{10}$ is 19. If $\frac{1}{(3 x+1)(x-2)}=\frac{A}{3 x+1}+\frac{B}{x-2}$ and $\frac{x+1}{(3 x+1)(x-2)}=\frac{C}{3 x+1}+\frac{D}{x-2}$, 20. If the period of the function $f(x)=\frac{\tan 5 x \cos 3 x}{\sin 6 x}$ is $\alpha$, then $f\left(\frac{\alpha}{8}\right 21. If $\sin x+\sin y=\alpha, \cos x+\cos y+\beta$, then $\operatorname{cosec}(x+y)=$ 22. If $P+Q+P=\frac{\pi}{4}$, then $\cos \left(\frac{\pi}{8}-P\right)+\cos \left(\frac{\pi}{8}-Q\right)+\cos$ $\left(\frac{\ 23. For $a \in R-\{0\}$, if $a \cos x+a \sin x+a=2 k+1$ has a solution, then $k$ lies in the interval 24. If the general solution .set of $\sin x+3 \sin 3 x+\sin 5 x=1$ is $S$, then $\{\sin \alpha / \alpha \in S\}=$ 25. If $\theta$ is an acute angle, $\cosh x=K$ and $\sinh x=\tan \theta$, then $\sin \theta=$ 26. In a $\Delta$ if the angles are in the ratio $3: 2: 1$, then the ratio of its sides is 27. In a $\triangle A B C$, if $B C=5, C A=6$ and $A B=7$, then the length of the median drawn from $B$ onto $A C$ is 28. In $\triangle A B C$, if $A B: B C: C A=6: 4: 5$, then $R: r$ is equal to 29. $\mathbf{a}=\alpha \hat{\mathbf{i}}+\beta \hat{\mathbf{j}}+3 \hat{\mathbf{k}}, \quad \mathbf{b}=\hat{\mathbf{j}}+2 \hat 30. $\mathbf{c}$ is a vector along the bisector of the internal angle between the vectors $\mathbf{a}=4 \hat{\mathbf{i}}+7 \ 31. $\mathbf{a}=\hat{\mathbf{i}}-\hat{\mathbf{j}}+\hat{\mathbf{k}}, \mathbf{b}=2 \hat{\mathbf{i}}+\hat{\mathbf{j}}+\hat{\mat 32. $A(1,2,1), B(2,3,2), C(3,1,3)$ and $D(2,1,3)$ are the vertices of a tetrahedron. If $\theta$ is the angle between the fa 33. If $\mathbf{a}=\hat{\mathbf{i}}-\hat{\mathbf{j}}+\hat{\mathbf{k}}, \mathbf{b}=\hat{\mathbf{i}}+\hat{\mathbf{j}}-2 \hat{\ 34. Mean deviation about the mean for the following data is $$ \begin{array}{llllll} \hline \text { Class Interval } & 0-6 35. If 12 dice are thrown at a time, then the probability that a multiple of 3 does not appear on any dice is 36. If a number is drawn at random from the set $\{1,3,5,7, \ldots . .59\}$, then the probability that it lies in the interv 37. In a class consisting of 40 boys and 30 girls. $30 \%$ of the boy and $40 \%$ of the girls are good at Mathematics. If a 38. A basket contains 12 apples in which 3 are rotten. If 3 apples are drawn at random simultaneously from it, then the prob 39. 7 coins are tossed simultaneously and the number of heads turned up is denoted by random variable $X$. If $\mu$ is the m 40. A manufacturing company noticed that $1 \%$ of its products are defective. If a dealer order for 300 items from this com 41. $P$ is a variable point such that the distance of $P$ from $A$ $(4,0)$ is twice the distance of $P$ from $B(-4,0)$. If t 42. When the origin is shifted to $(h, k)$ by translation of axes, the transformed equation of $x^2+2 x+2 y-7=0$ does not co 43. Let $\alpha \in R$. If the line $(\alpha+1) x+\alpha y+\alpha=1$ passes through a fixed point $(h, k)$ for all $\alpha$, 44. If $(\alpha, \beta)$ is the orthocentre of the triangle with the vertices $(2,2),(5,1),(4,4)$, then $\alpha+\beta=$ 45. The area of the triangle formed by the lines represented by $3 x+y+15=0$ and $3 x^2+12 x y-13 y^2=0$ is 46. If all chords of the curve $2 x^2-y^2+3 x+2 y=0$, which subtend a right angle at the origin always passing through the p 47. $2 x-3 y+1=0$ and $4 x-5 y-1=0$ are the equations of two diameters of the circle $S \equiv x^2+y^2+2 g x+2 f y-11=0 . Q$ 48. If the inverse point of the point $(-1,1)$ with respect to the circle $x^2+y^2-2 x+2 y-1=0$ is $(p, q)$, then $p^2+q^2=$ 49. If $(a, b)$ is the mid-point of the chord $2 x-y+3=0$ of the circle $x^2+y^2+6 x-4 y+4=0$, then $2 a+3 b=$ 50. If a direct common tangent drawn to the circle $x^2+y^2-6 x+4 y+9=0$ and $x^2+y^2+2 x-2 y+1=0$ touches the circles at $A 51. The radius of the circle which cuts the circles $x^2+y^2-4 x-4 y+7=0, x^2+y^2+4 x-4 y+6=0$ and $x^2+y^2+4 x+4 y+5=0$ ort 52. The equation of the normal drawn to the parabola $y^2=6 x$ at the point $(24,12)$ is 53. If $A_1, A_2, A_3$ are the areas of ellipse $x^2+4 y^2-4=0$ its director circle and auxiliary circle respectively, then 54. The equation of the pair of asymptotes of the hyperbola $4 x^2-9 y^2-24 x-36 y-36=0$ is 55. The equation of one of the tangents drawn from the point $(0,1)$ to the hyperbola $45 x^2-4 y^2=5$ is 56. Consider the tetrahedron with the vertices $A(3,2,4)$, $B\left(x_1, y_1, 0\right), C\left(x_2, y_2, 0\right)$ and $D\lef 57. If $P(2, \beta, \alpha)$ lies on the plane $x+2 y-z-2=0$ and $Q(\alpha,-1, \beta)$ lies on the plane $2 x-y+3 z+6=0$, th 58. Let $\pi$ be the plane that passes through the point $(-2,1,-1)$ and parallel to the plane $2 x-y+2 z=0$. Then the foot 59. If $f(x)=\frac{5 x \cdot \operatorname{cosec}(\sqrt{x})-1}{(x-2) \operatorname{cosec}(\sqrt{x})}$, then $\lim \limits_{ 60. $\lim \limits_{x \rightarrow 2} \frac{\sqrt{1+4 x}-\sqrt{3+3 x}}{x^3-8}=$ 61. If $$ \lim _{x \rightarrow \infty} \frac{(\sqrt{2 x+1}+\sqrt{2 x-1})^8+(\sqrt{2 x+1}-\sqrt{2 x-1})^8\left(P x^4-16\rig 62. The rate of change of $x^{\sin x}$ with respect to $(\sin x)^x$ is 63. If $y=\frac{\alpha x+\beta}{\gamma \alpha+\delta}$, then $2 y_1 y_3=$ 64. Which one of the following is false ? 65. The point which lies on the tangent drawn to the curve $x^4 e^y+2 \sqrt{y+1}=3$ at the point $(1,0)$ is 66. If $f(x)=x^x$, then the interval in which $f(x)$ decrease is 67. If the Rolle's theorem is applicable for the function $f(x)$ defined by $f(x)=x^3+P x-12$ on $[0,1]$ then the value of $ 68. The number of all the value of $x$ for which the function $f(x)=\sin x+\frac{1-\tan ^2 x}{1+\tan ^2 x}$ attains it maxi 69. If $x \in\left[2 n \pi-\frac{\pi}{4}, 2 n \pi+\frac{3 \pi}{4}\right]$ and $n \in Z$, then $\int \sqrt{1-\sin 2 x} d x=$ 70. $\int e^x\left(\frac{x+2}{x+4}\right)^2 d x=$ 71. If $\int \frac{1}{1-\cos x} d x=\tan \left(\frac{x}{\alpha}+\beta\right)+c$, then one of the values of $\frac{\pi \alpha 72. If $729 \int_1^3 \frac{1}{x^3\left(x^2+9\right)^2} d x=a+\log b$, then $(a-b)=$ 73. If $n \geq 2$ is a natural number and $0 74. $\lim \limits_{n \rightarrow \infty} \frac{1^{17}+2^{77}+\ldots+n^{77}}{n^{78}}=$ 75. $$ \text { If } f(x)=\left\{\begin{array}{cc} \frac{6 x^2+1}{4 x^3+2 x+3} & , 0 76. If $\int_1^n[x] d x=120$, then $n=$ 77. The area of the region under the curve $y=|\sin -\cos x|$, $0 \leq x \leq \frac{n}{2}$ and above $X$-axis, is (in sq uni 78. The differential equation formed by eliminating $a$ and $b$ from the equation $y=a e^{2 x}+b x e^{2 x}$ is 79. If $y=a^3 e^{y^2 x+c}$ is the general solution of a differential equation, where $a$ and $c$ are arbitrary constants and 80. The solution of differential equation $\left(x+2 y^3\right) \frac{d y}{d x}=y$ ls

Physics

1. Five equal resistances each $2 R$ connected as shown in figure. A battery of $V$ volts connected between $A$ and $B$. Th 2. A lamp is rated at $240 \mathrm{~V}, 60 \mathrm{~W}$. When in use the resistance of the filament of the lamp is 20 times 3. When an electron placed in a uniform magnetic field is accelerated from rest through a potential difference $V_1$. It e 4. A rectangular loop of sides 25 cm and 10 cm carrying a current of 10 A is placed with its longer side parallel to a lon 5. If the vertical component of the earth's magnetic field is 0.45 G at a location and angle of dip is $60^{\circ}$, then 6. $X$ and $Y$ are two circuits having coefficient of mutual inductance 3 mH and resistance $10 \Omega$ and $4 \Omega$ res 7. Two figures are shown as Fig. $A$ and Fig. $B$. The time constant of Fig. $A$ is $\tau_A$ and time constant of Fig. $B$ 8. Which of the following produces electromagnetic waves? 9. A blue lamp emits light of mean wavelength $4500$ Å. The lamp is rated at 150 W and $8 \%$ efficiency. Then, the number 10. The ground state energy of hydrogen atom is -13.6 eV . The potential energy of the electron in this state is 11. If the energy released per fission of a ${ }_{92}^{235} \mathrm{U}$ nucleus is 200 MeV . The energy released in the fiss 12. The semiconductor used for fabrication of visible LEDS must at least have a band gap of 13. In a common emitter amplifier, AC current gains 40 and input resistance is $2 \mathrm{k} \Omega$. The load resistance is 14. An information signal of frequency 10 kHz is modulated with a carried wave of frequency $3.62 \mathrm{MHz}^{}$ The uppe 15. The time period of revolution of a satellite $T$ around the carth depends on the radius of the circular orbit $R$. mass 16. An object projected upwards from the foot of a tower. The object crosses the top of the tower twice with an interval of 17. The centripetal acceleration of a particle in uniform circular motion is $18 \mathrm{~ms}^{-2}$. If the radius of the ci 18. The horizontal range of a projectile projected at an angle of $45^{\circ}$ with the horizontal is 50 m . The height of 19. A body of mass 1.5 kg is moving towards south with a uniform velocity of $8 \mathrm{~ms}^{-1}$. A force of 6 N is applie 20. The upper $\left(\frac{1}{n}\right)$ th of an inclined plane is smooth and the remaining lower part is rough with coeff 21. A spring of spring constant $200 \mathrm{~N}-\mathrm{m}^{-1}$ is initially stretched by 10 cm from the unstretched posi 22. A ball falls freely from rest from a height of 6.25 m on a hard horizontal surface. If the ball reaches a heightd 81 cm 23. The masses of a solid cylinder and hollow cylinder ate 3.2 kg and 1.6 kg respectively. Both the solid and hollow cylinde 24. A solid sphere of mass 50 kg and radius 20 cm is rotating about its diameter with an angular velocity d 420 rpm . The an 25. The mass of a particle is 1 kg and it is moving along $X$-axis. The period of its oscillation is $\frac{\pi}{2}$. Its p 26. The potential energy of a particle of mass 10 g as a function of displacement $x$ is $\left(50 x^2+100\right) \mathrm{J 27. If the time period of revolution of a satellite is $T$, the its kinetic energy is proportional to 28. The elastic energy stored per unit volume in terms of longitudinal strain $\varepsilon$ and Young's modulus $Y$ is 29. A large tank filled water to a height $h$ is to be emptied through a small hole at the bottom. The ratio of the time tak 30. A slab consists of two identical plates of copper and brass. The free face of the brass is at $0^{\circ} \mathrm{C}$ an 31. A monoatomic gas of $n$ moles is heated from temperature $T_1$ to $T_2$ under two different conditions, (i) at constant 32. In a Carnot engine, when the temperatures are $T_2=0^{\circ} \mathrm{C}$ and $T_1=200^{\circ} \mathrm{C}$, its efficien 33. Heat energy absorbed by a system going through the cyclic process shown in the figure is 34. A polyatomic gas with $n$ degrees of freedom has a mean kinetic energy per molecule given by (if $N$ is Avogadro's numb 35. A car sounding a horn of frequency 1000 Hz passes a stationary observer. The ratio of frequen'ies of the horn noted by 36. A ray of light travels from an optically denser to rare medium. The critical angle for the media is $C$. The maximum pos 37. The angle of polarisation for a medium with respect to air is $60^{\circ}$. The critical angle of this medium with respe 38. A point charge $q \mathrm{C}$ is placed at the centre of a cube of a side length $L$. Then, the electric flux linked wit 39. Three equal electric charges of each charge $q$ are placed at the vertices of an equilateral triangle of side of length 40. Eight drops of mercury of equal radii and possessing equal charge combine to form a big drop. If the capacity of each d

AP EAPCET 2024 - 21th May Morning Shift

MCQ (Single Correct Answer)

-0

The upper $\left(\frac{1}{n}\right)$ th of an inclined plane is smooth and the remaining lower part is rough with coefficient of friction $\mu_k$. If a body starting from rest at the top of the inclined plane will again come to rest at the bottom of the plane, then the angle of inclination of the inclined plane is

$\sin ^{-1}\left[\left(\frac{n}{n-1}\right) \mu_k\right]$

$\sin ^{-1}\left[\left(\frac{n-1}{n}\right) \mu_k\right]$

$\tan ^{-1}\left[\left(\frac{n}{n-1}\right) \mu_k\right]$

$\tan ^{-1}\left[\frac{(n-1) \mu_k}{n}\right]$

AP EAPCET 2024 - 21th May Morning Shift

MCQ (Single Correct Answer)

-0

A spring of spring constant $200 \mathrm{~N}-\mathrm{m}^{-1}$ is initially stretched by 10 cm from the unstretched position. The work to be done to stretch the spring further by another 10 cm is

3 J

6 J

9 J

12 J

AP EAPCET 2024 - 21th May Morning Shift

MCQ (Single Correct Answer)

-0

A ball falls freely from rest from a height of 6.25 m on a hard horizontal surface. If the ball reaches a heightd 81 cm after second bounce from the surface, the coefficient of restitution is

0.3

0.45

0.75

0.6

AP EAPCET 2024 - 21th May Morning Shift

MCQ (Single Correct Answer)

-0

The masses of a solid cylinder and hollow cylinder ate 3.2 kg and 1.6 kg respectively. Both the solid and hollow cylinders start from rest from the top of an inclined plane and roll down without slipping. If both the cylinder have equal radius and the acceleration of solid cylinder is $4 \mathrm{~ms}^{-1}$, the acceleration of hollow cylinder is

$2 \mathrm{~ms}^{-2}$

$9 \mathrm{~ms}^{-2}$

$6 \mathrm{~ms}^{-2}$

$3 \mathrm{~ms}^{-2}$

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