AP EAPCET 2022 - 4th July Morning Shift

Paper was held on
Mon, Jul 4, 2022 3:30 AM

## Chemistry

If $$\Delta x$$ is the uncertainty in position and $$\Delta v$$ is the uncertainty in velocity of a particle are equal,

View Question The number of radial nodes and angular nodes of a $$4 f$$-orbital are respectively

View Question Lithium shows diagonal relationship with element '$$X$$' and aluminium with $$Y . X$$ and $$Y$$ respectively are

View Question The correct order of the metallic character of the elements $$\mathrm{Be}, \mathrm{Al}, \mathrm{Na}, \mathrm{K}$$ is

View Question Choose the correct option from the following.

View Question The bond lengths of $$\mathrm{C}_2, \mathrm{~N}_2$$ and $$\mathrm{B}_2$$ molecules are $$X_1, X_2$$ and $$X_3 \mathrm{~p

View Question Among the gases a, b, c , d, e and f, the gases that show only positive deviation from ideal behaviour at all pressures

View Question The statement related to law of definite proportions is

View Question What are the oxidation states of three Br atoms in $$\mathrm{Br}_3 \mathrm{O}_8$$ molecule?

View Question Identify the reaction/process in which the entropy increases.

View Question State $$1 \rightleftharpoons$$ State $$2 \rightleftharpoons$$ State 3
$$\left(\begin{array}{l}T=300 \mathrm{~K} \\ p=15

View Question The formation of ammonia from its constituent elements is an exothermic reaction. The effect of increased temperature on

View Question Equal volumes of 0.5 N acetic acid and 0.5 N sodium acetate are mixed. What is the pH of resultant solution? ($$\mathrm{

View Question What are $$X$$ and $$Y$$ respectively in the following reactions?
$$\begin{aligned}
& \underline{X}+D_2 \mathrm{O} \long

View Question Assertion (A) MgSO$$_4$$ is readily soluble in water.
Reason (R) The greater hydration enthalpy of Mg$$^{2+}$$ ions over

View Question Identify A and B from the following reaction,
$$\mathrm{NaNO}_3 \xrightarrow{\Delta} x A+y B$$

View Question Identify the correct statements about boron.
I. It has high melting point.
II. It has high density.
III. It has high ele

View Question Which of the following tetrahalides does not exist?

View Question The correct order of acidity of the following compounds is

View Question The compound or ion which is not aromatic in the following is

View Question The number of network solids and ionic solids in the list given below is respectively. $$\mathrm{H}_2 \mathrm{O}$$ (ice)

View Question If molten NaCl contains $$\mathrm{SrCl}_2$$ as impurity, crystallisation can generate

View Question At $$T(\mathrm{~K}) \times \mathrm{g}$$ of a non-volatile solid (molar mass $$78 \mathrm{~g} \mathrm{~mol}^{-1}$$) when

View Question Assertion (A) Blood cells collapse when suspended in saline water.
Reason (R) Cell membrane dissolves in saline water.

View Question The reduction potential of hydrogen electrode at $$25^{\circ} \mathrm{C}$$ in a neutral solution is ($$p_{\mathrm{H}_2}=

View Question . The rate constant for a zero order reaction $$A \longrightarrow$$ products is $$0.0030 \mathrm{~mol} \mathrm{~L}^{-1}

View Question The diameters range of colloidal particles is approximately.

View Question Photographic plates are prepared by coating emulsion of which of the following in gelatin?

View Question What are $$x$$ and $$y$$ in the following reaction?
$$x \mathrm{~Pb}_3 \mathrm{O}_4 \longrightarrow y \mathrm{PbO}+\math

View Question Assertion (A) HCl gas is dried by passing through concentrated H$$_2$$SO$$_4$$.
Reason (R) HCl gas reacts with NH$$_3$$

View Question The catalyst used in the manufacture of polyethylene is a mixture of

View Question Which of the following is correct related to the colours of $$\mathrm{TiCl}_3(X)$$ and $$\left[\mathrm{Ti}\left(\mathrm{

View Question Which hormone tends to increase the blood glucose level in human?

View Question Which of the following molecules is eliminated during peptide bond formation?

View Question Identify the major product formed from the following.

View Question When 1-chlorobutane is treated with aqueous KOH it gives P. However, when it is treated with alcoholic KOH it gives Q. I

View Question Identify the major product formed in the following reaction sequence

View Question Arrange the following in increasing order of their reactivity for nucleophilic addition reaction.
(A)
(B)
(C)
(D)

View Question In the presence of peroxide, styrene reacts with HBr to give $$X$$. When $$X$$ is reacted with magnesium in dry ether fo

View Question Arrange the following in decreasing order of their pKb values
A. ,$$\mathrm{CH}_3 \mathrm{NH}_2$$
B. $$(\mathrm{CH}_3)_3

View Question ## Mathematics

The range of the real valued function $$f(x)=\sqrt{\frac{x^2+2 x+8}{x^2+2 x+4}}$$ is

View Question If $$f(x)=\sqrt{2-x^2}$$ and $$g(x)=\log (1-x)$$ are two real valued functions, then the domain of the function $$(f+g)(

View Question For $$i=1,2,3$$ and $$j=1,23$$
If $$a_i^2+b_i^2+c_i^2=1, a_i a_j+b_i b_j+c_i c_j=0, \forall i \neq j$$
and $$A=\left[\be

View Question If $$A=\frac{1}{7}\left[\begin{array}{ccc}3 & -2 & 6 \\ -6 & -3 & 2 \\ -2 & 6 & 3\end{array}\right]$$, then

View Question If $$A=\left[\begin{array}{cc}\alpha^2 & 5 \\ 5 & -\alpha\end{array}\right]$$ and $$\operatorname{det}\left(A^{10}\right

View Question Let $$A=\left[\begin{array}{ccc}5 & \sin ^2 \theta & \cos ^2 \theta \\ -\sin ^2 \theta & -5 & 1 \\ \cos ^2 \theta & 1 &

View Question $$i z^3+z^2-z+i=0 \Rightarrow|z|=$$

View Question If $$\frac{x-1}{3+i}+\frac{y-1}{3-i}=i$$, then the true statement among the following is

View Question If the identity $$\cos ^4 \theta=a \cos 4 \theta+b \cos 2 \theta+c$$ holds for some $$a, b, c \in Q$$ then $$(a, b, c)=$

View Question The number of integer solutions of the equation $$|1-i|^x=2^x$$ is

View Question If $$f(x)=a x^2+b x+c$$ for some $$a, b, c \in R$$ with $$a+b+c=3$$ and $$f(x+y)=f(x)+f(y)+x y, \forall x, y \in R$$. Th

View Question The number of positive real roots of the equation $$3^{x+1}+3^{-x+1}=10$$ is

View Question The number of real roots of the equation $$\sqrt{\frac{x}{1-x}}+\sqrt{\frac{1-x}{x}}=\frac{13}{6}$$ is

View Question If $$4^x-3^{x-1 / 2}=3^{x+1 / 2}-2^{2 x-1}$$, then the value of $$x$$ is

View Question The total number of permutations of $$n$$ different things taken not more than $$r$$ at a time, when each thing may be r

View Question How many chords can be drawn through 21 points on a circle?

View Question If a polygon of $$n$$ sides has 560 diagonals, then $$n=$$

View Question A person writes letters to 6 friends and addresses the corresponding envelopes. In how many ways can the letters be plac

View Question If $$\frac{x^4+24 x^2+28}{\left(x^2+1\right)^3}=\frac{A x+B}{x^2+1}$$ $$+\frac{C x+D}{\left(x^2+1\right)^2}+\frac{E x+F}

View Question The value of $$\frac{\sin \theta+\sin 3 \theta}{\cos \theta+\cos 3 \theta}$$ is

View Question If $$(1+\tan 1^{\circ})(1+\tan 2^{\circ}) \ldots(1+\tan 45^{\circ})=2^n,$$ then $$n=$$

View Question $$\frac{\cos \theta}{1-\tan \theta}+\frac{\sin \theta}{1-\cot \theta}=$$

View Question In a $$\triangle A B C$$, if $$a \neq b, \frac{a \cos A-b \cos B}{a \cos B-b \cos A}+\cos C=$$

View Question If $$\operatorname{cosech} x=\frac{4}{5}$$, then $$\sinh x=$$

View Question The value of $$\frac{1+\tan \mathrm{h} x}{1-\tan \mathrm{h} x}$$ is

View Question If in a $$\triangle A B C, a=2, b=3$$ and $$c=4$$, then $$\tan (A / 2)=$$

View Question If the angles of a $$\triangle A B C$$ are in the ratio $$1: 2: 3$$, then the corresponding sides are in the ratio

View Question In a $$\triangle A B C, r_1 \cot \frac{A}{2}+r_2 \cot \frac{B}{2}+r_3 \cot \frac{C}{2}=$$

View Question The point of intersection of the lines $$\mathbf{r}=2 \mathbf{b}+t(6 \mathbf{c}-\mathbf{a})$$ and $$\mathbf{r}=\mathbf{a

View Question In quadrilateral $$A B C D, \mathbf{A B}=\mathbf{a}, \mathbf{B C}=\mathbf{b}$$. $$\mathbf{D A}=\mathbf{a}-\mathbf{b}, M$

View Question The vectors $$3 \mathbf{a}-5 \mathbf{b}$$ and $$2 \mathbf{a}+\mathbf{b}$$ are mutually perpendicular and the vectors $$a

View Question Let $$\mathbf{a}=x \hat{i}+y \hat{j}+z \hat{k}$$ and $$x=2 y$$. If $$|\mathbf{a}|=5 \sqrt{2}$$ and a makes an angle of $

View Question Let $$\mathbf{a}, \mathbf{b}, \mathbf{c}$$ be the position vectors of the vertices of a $$\triangle A B C$$. Through the

View Question The mean deviation about the mean for the following data.
$$5,6,7,8,6,9,13,12,15 \text { is }$$

View Question A box contains 100 balls, numbered from 1 to 100 . If 3 balls are selected one after the other at random with replacemen

View Question In a lottery, containing 35 tickets, exactly 10 tickets bear a prize. If a ticket is drawn at random, then the probabili

View Question A bag contains 7 green and 5 black balls. 3 balls are drawn at random one after the other. If the balls are not replaced

View Question If $$x$$ is chosen at random from the set $$\{1,2,3, 4\}$$ and $$y$$ is chosen at random from the set $$\{5,6,7\}$$, the

View Question The discrete random variables $$X$$ and $$Y$$ are independent from one another and are defined as $$X \sim B(16,0.25)$$

View Question If 6 is the mean of a Poisson distribution, then $$P(X \geq 3)=$$

View Question A stick of length $$r$$ units slides with its ends on coordinate axes. Then, the locus of the mid-point of the stick is

View Question The least distance from origin to a point on the line $$y=x+3$$ which lies at a distance of 2 units from $$(0,3)$$ is

View Question Starting from the point $$A(-3,4)$$, a moving object touches $$2 x+y-7=0$$ at $$B$$ and reaches the point $$C(0,1)$$. If

View Question Suppose a triangle is formed by $$x+y=10$$ and the coordinate axes. Then, the number of points $$(x, y)$$ where $$x$$ an

View Question If the lines represented by $$a x^2+2 h x y+b y^2+2 g x+2 f y+c=0$$ intersect on the $$X$$-axis, which of the following

View Question For $$\alpha \in\left[0, \frac{\pi}{2}\right]$$, the angle between the lines represented by $$[x \cos \theta-y] [(\cos \

View Question The locus of centers of the circles, possessing the same area and having $$3 x-4 y+4=0$$ and $$6 x-8 y-7=0$$ as their co

View Question For any two non-zero real numbers $$a$$ and $$b$$ if this line $$\frac{x}{a}+\frac{y}{b}=1$$ is a tangent to the circle

View Question The length of the intercept on the line $$4 x-3 y-10=0$$ by the circle $$x^2+y^2-2 x+4 y-20=0$$ is

View Question The pole of the line $$\frac{x}{a}+\frac{y}{b}=1$$ with respect to the circle $$x^2+y^2=c^2$$ is

View Question If the tangent at the point $$P$$ on the circle $$x^2+y^2+6 x+6 y=2$$ meets the straight line $$5 x-2 y+6=0$$ at a point

View Question Suppose a parabola with focus at $$(0,0)$$ has $$x-y+1=0$$ as its tangent at the vertex. Then, the equation of its direc

View Question The eccentric angle of a point on the ellipse $$x^2+3 y^2=6$$ lying at a distance of 2 units from its centre is

View Question Let origin be the centre, $$( \pm 3,0)$$ be the foci and $$\frac{3}{2}$$ be the eccentricity of a hyperbola.
Then, the l

View Question The locus of a variable point whose chord of contact w.r.t. the hyperbola $$\frac{x^2}{a^2}-\frac{y^2}{b^2}=1$$ subtends

View Question If the point $$(a, 8,-2)$$ divides the line segment joining the points $$(1,4,6)$$ and $$(5,2,10)$$ in the ratio $$m: n$

View Question If $$(a, b, c)$$ are the direction ratios of a line joining the points $$(4,3,-5)$$ and $$(-2,1,-8)$$, then the point $$

View Question The $$x$$-intercept of a plane $$\pi$$ passing through the point $$(1,1,1)$$ is $$\frac{5}{2}$$ and the perpendicular di

View Question Let $$f: R^{+} \longrightarrow R^{+}$$ be a function satisfying $$f(x)-x=\lambda$$ (constant), $$\forall x \in R^{+}$$ a

View Question $$\begin{aligned}
& \text { If } \lim _{x \rightarrow 0} \frac{|x|}{\sqrt{x^4+4 x^2+5}}=k \\
& \lim _{x \rightarrow 0} x

View Question If $$\lim _\limits{n \rightarrow \infty} x^n \log _e x=0$$, then $$\log _x 12=$$

View Question If $$f(x)=\cot ^{-1}\left(\frac{x^x+x^{-x}}{2}\right)$$, then $$f^{\prime}(1)=$$

View Question If $$f(x)=\operatorname{Max}\{3-x, 3+x, 6\}$$ is not differentiable at $$x=a$$, and $$x=b$$, then $$|a|+|b|=$$

View Question If $$x^3-2 x^2 y^2+5 x+y-5=0$$, then at $$(\mathrm{l}, \mathrm{l}), y^{\prime \prime}(\mathrm{l})=$$

View Question If the curves $$y=x^3-3 x^2-8 x-4$$ and $$y=3 x^2+7 x+4$$ touch each other at a point $$P$$, then the equation of common

View Question If $$a x+b y=1$$ is a normal to the parabola $$y^2=4 p x$$, then the condition is

View Question The maximum value of $$f(x)=\frac{x}{1+4 x+x^2}$$ is

View Question The minimum value of $$f(x)=x+\frac{4}{x+2}$$ is

View Question The condition that $$f(x)=a x^3+b x^2+c x+d$$ has no extreme value is

View Question Assertion (A) If $$I_n=\int \cot ^n x d x$$, then
$$I_6+I_4=\frac{-\cot ^5 x}{5}$$
Reason (R) $$\int \cot ^n x d x=\frac

View Question If $$I_n=\int \tan ^n x d x$$, and $$I_0+I_1+2 I_2+2 I_3+2 I_4 +I_5+I_6=\sum_\limits{k=1}^n \frac{\tan ^k x}{k}$$, then

View Question $$\int \frac{e^{\cot x}}{\sin ^2 x}(2 \log \operatorname{cosec} x+\sin 2 x) d x=$$

View Question The parametric form of a curve is $$x=\frac{t^3}{t^2-1} y=\frac{t}{t^2-1}$$, then $$\int \frac{d x}{x-3 y}=$$

View Question $$\int_0^1 a^k x^k d x=$$

View Question Let $$\alpha$$ and $$\beta(\alpha

View Question $$\int_0^\pi x\left(\sin ^2(\sin x)+\cos ^2(\cos x)\right) d x=$$

View Question $$\lim _\limits{n \rightarrow \infty}\left(\frac{1}{1^5+n^5}+\frac{2^4}{2^5+n^5}+\frac{3^4}{3^5+n^5}+\ldots+\frac{n^4}{n

View Question If the solution of $$\frac{d y}{d x}-y \log _e 0.5=0, y(0)=1$$, and $$y(x) \rightarrow k$$, as $$x \rightarrow \infty$$,

View Question At any point $$(x, y)$$ on a curve if the length of the subnormal is $$(x-1)$$ and the curve passes through $$(1,2)$$, t

View Question $$y=A e^x+B e^{-2 x}$$ satisfies which of the following differential equations?

View Question ## Physics

If $$N_A, N_B$$ and $$N_C$$ are the number of significant figures in $$A=0.001204 \mathrm{~m}, B=43120000 \mathrm{~m}$$

View Question A car covers a distance at speed of $$60 \mathrm{~km} \mathrm{~h}^{-1}$$. It returns and comes back to the original poin

View Question A car travels with a speed of $$40 \mathrm{~km} \mathrm{~h}^{-1}$$. Rain drops are falling at a constant speed verticall

View Question A projectile with speed $$50 \mathrm{~ms}^{-1}$$ is thrown at an angle of $$60^{\circ}$$ with the horizontal. The maximu

View Question Two rectangular blocks of masses 40 kg and 60 kg are connected by a string and kept on a frictionless horizontal table.

View Question A ball of mass 0.5 kg moving horizontally at $$10 \mathrm{~ms}^{-1}$$ strikes a vertical wall and rebounds with speed $$

View Question A mass of 1 kg falls from a height of 1 m and lands on a massless platform supported by a spring having spring constant

View Question A bead of mass 400 g is moving along a straight line under a force that delivers a constant power 1.2 W to the bead. If

View Question Masses $$m\left(\frac{1}{3}\right)^N \frac{1}{N}$$ are placed at $$x=N$$, when $$N=2,3,4 \ldots \infty$$. If the total m

View Question Consider a disc of radius $$R$$ and mass $$M$$. A hole of radius $$\frac{R}{3}$$ is created in the disc, such that the c

View Question A hydrometer executes simple harmonic motion when it is pushed down vertically in a liquid of density $$\rho$$. If the m

View Question An object undergoing simple harmonic motion takes 0.5 s to travel from one point of zero velocity to the next such point

View Question A projectile is thrown straight upward from the earth's surface with an initial speed $$v=\alpha v_e$$ where $$\alpha$$

View Question Same tension is applied to the following four wires made of same material. The elongation is longest in

View Question A cone with half the density of water is floating in water as shown in figure. It is depressed down by a small distance

View Question Statement (A) When the temperature increases the viscosity of gases increases and the viscosity of liquids decreases.
St

View Question A sphere of surface area $$4 \mathrm{~m}^2$$ at temperature 400 K and having emissivity 0.5 is located in an environment

View Question A Carnot engine operates between a source and a sink. The efficiency of the engine is $$40 \%$$ and the temperature of t

View Question A car engine has a power of 20 kW. The car makes a roundtrip of 1 h. If the thermal efficiency of the engine is $$40 \%$

View Question The number of vibrational degree of freedom of a diatomic molecule is

View Question A body is suspended from a string of length 1 m and mass 2 g. The mass of the body to produce a fundamental mode of 100

View Question Electrostatic force between two identical charges placed in vacuum at distance of $$r$$ is F. A slab of width $$\frac{r}

View Question A ray is incident from a medium of refractive index 2 into a medium of refractive index 1. The critical angle is

View Question An electric dipole with dipole moment $$5 \times 10^{-7} \mathrm{C}-\mathrm{m}$$ is in the electric field of $$2 \times

View Question A capacitor of capacitance $$C_1=1 \mu \mathrm{F}$$ is charged using a 9 V battery. $$C_1$$ is, then removed from the ba

View Question Two positive point charges of $$10 \mu \mathrm{C}$$ and $$12 \mu \mathrm{C}$$ are placed 10 cm apart in air. The work do

View Question Current density in a cylindrical wire of radius $$R$$ varies with radial distance as $$\beta\left(r+r_0\right)^2$$. The

View Question A cell can supply currents of 1 A and 0.5 A via resistances of $$2.5 \Omega$$ and $$10 \Omega$$, respectively. The inter

View Question Two infinitely long wires each carrying the same current and pointing in $$+y$$ direction are placed in the $$x y$$-plan

View Question Two electrons, $$e_1$$ and $$e_2$$ of mass $$m$$ and charge $$q$$ are injected into the perpendicular direction of the m

View Question A compass needle oscillates 20 times per minute at a place where the dip is $$45^{\circ}$$ and the magnetic field is $$B

View Question A plane electromagnetic wave travels in free space along $$Z$$-axis. At a particular point in space, the electric field

View Question A coil of inductance 0.1 H and resistance $$110 \Omega$$ is connected to a source of 110 V and 350 Hz . The phase differ

View Question If the average power per unit area delivered by an electromagnetic wave is $$9240 \mathrm{~Wm}^{-2}$$. then the amplitud

View Question A beam of light with intensity $$10^{-3} \mathrm{~Nm}^{-2}$$ and cross-sectional area $$20 \mathrm{~cm}^2$$ is incident

View Question The metal which has the highest work function in the following is

View Question Energy of a stationary electron in the hydrogen atom is $$E=\frac{13.6}{n^2} \mathrm{~eV}$$, then the energies required

View Question The graph of $$\ln \left(\frac{R}{R_0}\right)$$ versus $\ln A$ is where $$R$$ is radius of a nucleus, $$A$$ is its mass

View Question Output of following logic circuit is

View Question The maximum number of TV signals, that can be transmitted along a co-axial cable is

View Question