AP EAPCET 2021 - 19th August Morning Shift

Paper was held on
Thu, Aug 19, 2021 3:30 AM

## Chemistry

If two particles A and B are moving with the
same velocity, but wavelength of A is found
to be double than that of B. Wh

View Question The spectrum of helium is expected to be similar to that of

View Question On the basis of Bohr’s model, the radius of
the 3rd orbit is

View Question To which group of the periodic table does an element having electronic configuration [Ar] 3d$$^5$$ 4s$$^2$$ belong?

View Question Given that ionisation potential and electron
gain enthalpy of chlorine are 13eV and 4 eV
respectively. The electronegati

View Question Which of the following represents the correct
order of increasing electron gain enthalpy
with negative sign for the elem

View Question Which of the following will have maximum
dipole moment?

View Question In which of the following molecules/ions, the central atom is sp$$^2$$ hybridised?
BF$$_3$$, NO$$_2^-$$, NH$$_2^-$$ and

View Question For which molecules among the following,
the resultant dipole moment ($$\propto$$) $$\ne$$ 0 ?

View Question Which of the following graphs correctly
represents Boyle’s Law?

View Question The density of an ideal gas can be given by
........, where p, V, M, T and R respectively
denote pressure, volume, molar

View Question When 20 g of CaCO$$_3$$ is treated with 20 g of HCl, the mass of CO$$_2$$ formed would be

View Question Which among the following species acts as a
self-indicator?

View Question If a chemical reaction is known to be
non-spontaneous at 298 K but spontaneous
at 350 K, then which among the following

View Question Standard entropies of $$X_2, Y_2$$ and $$X Y_3$$ are 60, 40 and $$50 \mathrm{JK}^{-1} \mathrm{~mol}^{-1}$$ respectively.

View Question For the reaction $$\mathrm{SO}_2(g)+\frac{1}{2} \mathrm{O}_2(g) \rightleftharpoons \mathrm{SO}_3(g)$$, the percentage yi

View Question Which among the following denotes the correct relationship between $$K_p$$ and $$K_c$$ for the reaction, $$2 A(g) \right

View Question Which metal oxide among the following
gives H$$_2$$O$$_2$$ on treatment with dilute acid?

View Question Assertion (A) K, Rb and Cs form
superoxides.
Reason (R) The stability of superoxides
increases from K to Cs due to decre

View Question When borax is dissolved in water, it gives an alkaline solution. The alkaline solution consists the following products

View Question Identify (P) and (Q) in the following reaction.

View Question Green chemistry refers to reactions which

View Question Assertion (A) Sodium acetate on Kolbe’s
electrolysis gives ethane.
Reason (R) Methyl free radical is formed at
cathode.

View Question When difference in boiling points of two
liquids is too small, then the separation is
carried out by

View Question In Lassaigne’s test for halogens, it is
necessary to remove X and Y from the
sodium fusion extract, if nitrogen and
sulp

View Question The following effect is known as

View Question Which of the following will form an ideal solution?

View Question The molal elevation constant is the ratio of
elevation in boiling point to

View Question When a current of 10 A is passes through
molten AlCl$$_3$$ for 1.608 minutes. The mass of
Al deposited will be
[Atomic m

View Question The molar conductivities $$\left(\lambda_{\mathrm{m}}^{\Upsilon}\right)$$ at infinite dilution of $$\mathrm{KBr}, \mathr

View Question If the rate constant for a first order reaction is $$2.303 \times 10^{-3} \mathrm{~s}^{-1}$$. Find the time required to

View Question A plot of $$\log (x / m)$$ versus $$\log (p)$$ for adsorption of a gas on a solid gives a straight line with a slope of

View Question Match the following compounds with their corresponding physical properties.
.tg {border-collapse:collapse;border-spaci

View Question What is coordination number of the metal in $$\mathrm{{[Co{(en)_2}C{l_2}]^{2 + }}}$$ ?

View Question A compound A is used in paints instead of
salts of lead. Compound A is obtained when a
white compound B is strongly heat

View Question Identify the product of the following
reaction.

View Question The number of optical isomers possible for
2-bromo-3-chloro butane are

View Question During the action of enzyme ‘zymase’
glucose is converted into .............., with the
liberation of carbon dioxide gas

View Question The total number of products formed in the
following reaction sequence is
$$\begin{gathered}\mathrm{CH}_3 \mathrm{COCl}

View Question In the following reaction sequence, identify
product ‘Q’ and reagent ‘R’.

View Question ## Mathematics

Let $$f: R \rightarrow R$$ and $$g: R \rightarrow R$$ be defined by $$f(x)=2 x+1$$ and $$g(x)=x^2-2$$ determine $$(g \ci

View Question Given, the function $$f(x)=\frac{a^x+a^{-x}}{2},(a>2)$$, then $$f(x+y)+f(x-y)$$ is equal to

View Question If $$f$$ is a function defined on $$(0,1)$$ by $$f(x)=\min \{x-[x],-x-[x]\}$$, then $$(f \circ f o f o f)(x)$$ is equal

View Question $$n \in N$$ then, the statement $$8 n+16 \leq 2^n$$ is true for

View Question The equation whose roots are the values of the equation $$\left| {\matrix{
1 & { - 3} & 1 \cr
1 & 6 & 4 \cr

View Question Let a and b be non-zero real numbers such that $$ab=5/2$$ and given $$A = \left[ {\matrix{
a & { - b} \cr
b & a

View Question If $$A=\left[\begin{array}{ccc}1 & -1 & 1 \\ 2 & 1 & -3 \\ 1 & 1 & 1\end{array}\right], 10 B=\left[\begin{array}{ccc}4 &

View Question The rank of the matrix $$\left[\begin{array}{ccc}4 & 2 & (1-x) \\ 5 & k & 1 \\ 6 & 3 & (1+x)\end{array}\right]$$ is 1 ,

View Question If $$a_1, a_2, \ldots . a_9$$ are in GP, then $$\left|\begin{array}{lll}\log a_1 & \log a_2 & \log a_3 \\ \log a_4 & \lo

View Question $$(\sin \theta-i \cos \theta)^3$$ is equal to

View Question Real part of $$(\cos 4+i \sin 4+1)^{2020}$$ is

View Question If $${({x^2} + 5x + 5)^{x + 5}} = 1$$, then the number of integers satisfying this equation is

View Question Let $$f(x)=x^3+a x^2+b x+c$$ be polynomial with integer coefficients. If the roots of $$f(x)$$ are integer and are in Ar

View Question The sum of the roots of the equation $$e^{4 t}-10 e^{3 t}+29 e^{2 t}-22 e^t+4=0$$ is

View Question If a person has 3 coins of different denominations, the number of different sums can be formed is

View Question There are 7 identical white balls and 3 identical black balls. The number of distinguishable arrangements in a row of al

View Question The number of ways of distributing eight identical rings to three different girls so that every girl gets at least one r

View Question If $$\frac{x^4}{(x-1)(x-2)}=f(x)+\frac{A}{x-1}+\frac{B}{x-2}$$, then

View Question $$\tan 2 \alpha \cdot \tan (30 Y-\alpha)+\tan 2 \alpha \cdot \tan (60 Y-\alpha)+\tan (60 \Upsilon-\alpha) \cdot \tan (30

View Question If $$\sin \alpha - \cos \alpha = m$$ and $$\sin 2\alpha = n - {m^2}$$, where $$ - \sqrt 2 \le m \le \sqrt 2 $$, then

View Question The value of $$x$$ satisfying the equation $$3 \operatorname{cosec} x=4 \sin x$$ are

View Question If $$\tan ^{-1}\left[\frac{1}{1+1 \cdot 2}\right]+\tan ^{-1}\left[\frac{1}{1+2 \cdot 3}\right]+\ldots+\tan ^{-1} \left[\

View Question If $$\sinh u=\tan \theta$$, then $$\cosh u$$ is equal to

View Question In a $$\Delta ABC$$, if a = 3, b = 4 and $$\sin A=\frac{3}{4}$$, then $$\angle CBA$$ is equal to

View Question In $$\Delta ABC,A=75\Upsilon$$ and $$B=45\Upsilon$$, then the value of $$b+c\sqrt2$$ is equal to

View Question In $$\triangle A B C$$, suppose the radius of the circle opposite to an $$\angle A$$ is denoted by $$r_1$$, similarly $$

View Question A vector makes equal angles $$\alpha$$ with $$X$$ and $$Y$$-axis, and $$90 \Upsilon$$ with $$Z$$-axis. Then, $$\alpha$$

View Question Angle made by the position vector of the point (5, $$-$$4, $$-$$3) with the positive direction of X-axis is

View Question If D, E and F are respectively mid-points of AB, AC and BC in $$\Delta ABC$$, then BE + AF is equal to

View Question If the volume of the parallelopiped formed by the vectors $$\hat{\mathbf{i}}+a \hat{\mathbf{j}}+\hat{\mathbf{k}}, \hat{\

View Question If $$\mathbf{a}=\frac{3}{2} \hat{\mathbf{k}}$$ and $$\mathbf{b}=\frac{2 \hat{\mathbf{i}}+2 \hat{\mathbf{j}}-\hat{\mathbf

View Question Let $$\mathbf{a}=\hat{\mathbf{i}}+\hat{\mathbf{j}}+\hat{\mathbf{k}}, \mathbf{b}=\hat{\mathbf{i}}+3 \hat{\mathbf{j}}+5 \h

View Question If $$\mathbf{a}=2 \hat{\mathbf{i}}+\hat{\mathbf{j}}+3 \hat{\mathbf{k}}, \mathbf{b}=\hat{\mathbf{i}}+3 \hat{\mathbf{j}}-\

View Question If $$\mathbf{a}$$ and $$\mathbf{b}$$ are two vectors such that $$|\mathbf{a}|=2, |\mathbf{b}|=3$$ and $$\mathbf{a}+t \ma

View Question The variance of the variates 112, 116, 120, 125 and 132 about their AM is

View Question Which of the following set of data has least standard deviation?

View Question 12 balls are distributed among 3 boxes, then the probability that the first box will contain 3 balls is

View Question If the letters of the word REGULATIONS be
arranged in such a way that relative positions
of the letters of the word GULA

View Question A random variable X has the probability distribution
.tg {border-collapse:collapse;border-spacing:0;}
.tg td{border-c

View Question A die is tossed thrice. If event of getting an even number is a success, then the probability of getting at least 2 succ

View Question If the axes are rotated through an angle $$45 \Upsilon$$, the coordinates of the point $$(2 \sqrt{2},-3 \sqrt{2})$$ in t

View Question the sum of the squares of the intercepts made the line $$5x-2y=10$$ on the coordinate axes equals

View Question For three consecutive odd integers $$a \cdot b$$ and $$c$$, if the variable line $$a x+b y+c=0$$ always passes through t

View Question The line which is parallel to X-axis and crosses the curve $$y=\sqrt x$$ at an angle of 45$$\Upsilon$$ is

View Question If $$2x+3y+4=0$$ is the perpendicular bisector of the line segment joining the points A(1, 2) and B($$\alpha,\beta$$), t

View Question The equation of the pair of straight lines perpendicular to the pair $$2 x^2+3 x y+2 y^2+10 x+5 y=0$$ and passing though

View Question If the centroid of the triangle formed by the lines $$2 y^2+5 x y-3 x^2=0$$ and $$x+y=k$$ is $$\left(\frac{1}{18}, \frac

View Question If $$m_1$$ and $$m_2,\left(m_1>m_2\right)$$ are the slopes of the lines represented by $$5 x^2-8 x y+3 y^2=0$$, then $$m

View Question If the slope of one of the lines represented by $$a x^2+2 h x y+b y^2=0$$ is the square of the other then, $$\left|\frac

View Question Find the equations of the tangents drawn to the circle $$x^2+y^2=50$$ at the points where the line $$x+7=0$$ meets it.

View Question If the chord of contact of tangents from a point on the circle $$x^2+y^2=r_1^2$$ to the circle $$x^2+y^2=r_2^2$$ touches

View Question Find the equation of the circle passing through $$(1,-2)$$ and touching the $$X$$-axis at $$(3,0)$$.

View Question Let $$L_1$$ be a straight line passing through the origin and $$L_2$$ be the straight line $$x+y=1$$. If the intercepts

View Question The radius of the circle whose center lies at $$(1,2)$$ while cutting the circle $$x^2+y^2+4 x+16 y-30=0$$ orthogonally,

View Question The point which has the same power with respect to each of the circles $$x^2+y^2-8 x+40=0, x^2+y^2-5 x+16=0$$ and $$x^2+

View Question If one end of focal chord of the parabola $$y^2=8x$$ is $$\left(\frac{1}{2},2\right)$$, then the length of the focal cho

View Question If a point $$P(x, y)$$ moves along the ellipse $$\frac{x^2}{25}+\frac{y^2}{16}=1$$ and if $$C$$ is the center of the ell

View Question The asymptotes of the hyperbola $$\frac{x^2}{a^2}-\frac{y^2}{b^2}=1$$, with any tangent to the hyperbola form a triangle

View Question The ratio in which the YZ-plane divides the line joining (2, 4, 5) and (3, 5, $$-$$4) is

View Question The direction cosines of a line which makes
equal angles with the coordinate axes are

View Question Let $$O$$ be the origin and $$P$$ be a point which is at a distance of 3 units from the origin. If the direction ratios

View Question $$\lim _\limits{z \rightarrow 1} \frac{z^{(1 / 3)}-1}{z^{(1 / 6)}-1}$$ is equal to

View Question $$f(x)=\left\{\begin{array}{cc}
\frac{72^x-9^x-8^x+1}{\sqrt{2}-\sqrt{1+\cos x}}, & x \neq 0 \\
K \log 2 \log 3, & x=0
\e

View Question If the function $$f(x)$$, defined below is continuous in the interval $$[0, \pi]$$, then $$f(x)=\left\{\begin{array}{cc}

View Question If $$y=x+\frac{1}{x}$$, then which among the following holds?

View Question If $$y=\tan ^{-1}\left(\frac{\sqrt{1+x^2}+\sqrt{1-x^2}}{\sqrt{1+x^2}-\sqrt{1-x^2}}\right)$$, where $$x^2 \leq 1$$. Then,

View Question If $$3 \sin x y+4 \cos x y=5$$, then $$\frac{d y}{d x}$$ is equal to

View Question $$f(x)=\sqrt{x^2+1}: g(x)=\frac{x+1}{x^2+1}: h(x)=2 x-3$$, then the value of $$f^{\prime}\left[h^{\prime}\left(g^{\prime

View Question If the error committed in measuring the
radius of a circle is 0.05%, then the
corresponding error in calculating its are

View Question The stationary points of the curve $$y=8 x^2-x^4-4$$ are

View Question Which statement among the following is true?
(i) the function $$f(x)=x|x|$$ is strictly increasing on $$R-\{0\}$$.
(ii)

View Question For which value(s) of $$a$$ $$f(x)=-x^3+4 a x^2+2 x-5$$ is decreasing for every $$x$$ ?

View Question The distance between the origin and the normal to the curve $$y=e^{2 x}+x^2$$ drawn at $$x=0$$ is units

View Question If $$\int \frac{d x}{x\left(\sqrt{\left.x^4-1\right)}\right.}=\frac{1}{k} \sec ^{-1}\left(x^k\right)$$, then the value o

View Question $$\int \frac{e^x(x+3)}{(x+5)^3} d x$$ is equal to

View Question If $$\int \frac{(x-1)^2}{\left(x^2+1\right)^2} d x=\tan ^{-1}(x)+g(x)+k$$, then $$g(x)$$ is equal to

View Question If $$\int \frac{1-(\cot x)^{2021}}{\tan x+(\cot x)^{2022}} d x=\frac{1}{A} \log\left|(\sin x)^{2023}+(\cos x)^{2023}\rig

View Question $$\int_2^4\{|x-2|+|x-3|\} d x$$ is equal to

View Question $$\int\limits_{-1 / 2}^{1 / 2}\left\{[x]+\log \left(\frac{1+x}{1-x}\right)\right\} d x$$ is equal to

View Question The solution of the differential equation $$\frac{d^2 y}{d x^2}+y=0$$ is

View Question ## Physics

An electric generator is based on

View Question Which of the following decreases, in motion
on a straight line, with constant retardation?

View Question When a ball is thrown with a velocity of 50 ms$$^{-1}$$ at an angle 30$$\Upsilon$$ with the horizontal, it remains in th

View Question One of the rectangular components of a force
of 40 N is 20$$\sqrt3$$ N. What is the other
rectangular component?

View Question An object dropped in a stationary lift takes time $$t_1$$ to reach the floor. It takes time $$t_2$$ when lift is moving

View Question When a body is placed on a rough plane (coefficient of friction $$=~\propto$$ ) inclined at an angle $$\theta$$ to the h

View Question A metal ball of mass 2 kg moving with a
velocity of 36 km/h has a head on collision
with a stationary ball of mass 3 kg.

View Question A body of mass 8 kg, under the action of a
force, is displaced according to the equation, $$s=\frac{t^2}{4}$$ m, where t

View Question A particle of mass m, moving with a velocity
v makes an elastic collision in one dimension
with a stationary particle of

View Question Which of the following type of wheels of
same mass and radius will have largest
moment of inertia?

View Question The sum of moments of all the particles in a
system about its centre of mass is always

View Question Assertion (A) Two identical trains move in
opposite senses in equatorial plane with
same speeds relative to the Earth’s

View Question A spring is stretched by 0.40 m when a mass
of 0.6 kg is suspended from it. The period of
oscillations of the spring loa

View Question A heavy brass sphere is hung from a spring
and it executes vertical vibrations with period
T. The sphere is now immersed

View Question A particle is kept on the surface of a uniform
sphere of mass 1000 kg and radius 1 m. The
work done per unit mass agains

View Question The acceleration due to gravity at a height (1/20)th of the radius of Earth above the Earth's surface is 9 ms$$^{-2}$$.

View Question The Young's modulus of a rubber string of length $$12 \mathrm{~cm}$$ and density $$1.5 ~\mathrm{kgm}^{-3}$$ is $$5 \time

View Question The lower end of a capillary tube is dipped
into water and it is observed that the water
in capillary tube rises by 7.5

View Question An ideal liquid flows through a horizontal
tube of variable diameter. The pressure is
lowest where the

View Question In a steady state, the temperature at the end $$A$$ and end $$B$$ of a $$20 \mathrm{~cm}$$ long rod $$A B$$ are $$100 \U

View Question If two rods of length $$L$$ and $$2 L$$, having coefficients of linear expansion $$\alpha$$ and $$2 \alpha$$ respectivel

View Question A system is taken from state-A to state-B
along two different paths. The heat absorbed
and work done by the system along

View Question A gas ($$\gamma$$ = 1.5 ) is suddenly compressed to
(1/4 )th its initial volume. Then, find the ratio
of its final to in

View Question A cylinder has a piston at temperature of $$30 \Upsilon$$C. There is all round clearance of $$0.08 \mathrm{~mm}$$ betwee

View Question A balloon contains 1500 m$$^3$$ of He at 27$$\Upsilon$$C and 4 atmospheric pressure, the volume of He at $$-3\Upsilon$$C

View Question The sources of sound A and B produce a
wave of 350 Hz in same phase. A particle P is
vibrating under an influence of the

View Question In a diffraction pattern due to a single slit of width $$a$$, the first minimum is observed at an angle $$30 \Upsilon$$

View Question Which statement(s) among the following are
incorrect?
(i) A negative test charge experiences a force
opposite to the dir

View Question In the given circuit, if the potential
difference between A and B is 80 V, then the
equivalent capacitance between A and

View Question A cell of emf 1.8 V gives a current of 17 A when directly connected to an ammeter of resistance 0.06 $$\Omega$$. Interna

View Question In which of the following case no force
exerted by a magnetic field on a charge?

View Question A long thin hollow metallic cylinder of radius
R has a current i ampere. The magnetic
induction B away from the axis at

View Question The plane of a dip circle is set in the geographic meridian and the apparent dip is $$\delta_1$$. It is then set in a ve

View Question Assertion (A) It is more difficult to move a
magnet into a coil with more loops.
Reason (R) This is because emf induced

View Question Two inductors A and B when connected in
parallel are equivalent to a single inductor of
inductance 1.5 H and when connec

View Question A resonant frequency of a current is $$f$$. If the
capacitance is made four times the initial
value, then the resonant f

View Question The law which states that a variation in an
electric field causes magnetic field, is

View Question Radiation of wavelength $$300 \mathrm{~nm}$$ and intensity $$100 \mathrm{~W}-\mathrm{m}^{-2}$$ falls on the surface of a

View Question Potential energy between a proton and an electron is given by $$U=\frac{K e^2}{3 R^3}$$, then radius of Bohr's orbit can

View Question A transistor is connected in common emitter configuration. The collector supply is $$8 \mathrm{~V}$$ and the voltage dro

View Question