AP EAPCET 2021 - 19th August Evening Shift

Paper was held on
Thu, Aug 19, 2021 8:30 AM

## Chemistry

Assuming that the incident radiation is
capable of ejecting photoelectrons from all
the given metals, the lowest kinetic

View Question If the energies of two light radiations $$E_1$$ and $$E_2$$ are $$25 \mathrm{~eV}$$ and $$100 \mathrm{~eV}$$ respectivel

View Question The electronic configuration of $$\mathrm{Fe}^{3+}$$ is (atomic number of $$\mathrm{Fe}=26$$ )

View Question The element with outer electronic configuration $$(n-1) d^2 n s^2$$, where $$n=4$$, would belong to

View Question Choose the correct option regarding the following statements
Statement 1 Nitrogen has lesser electron gain enthalpy than

View Question Among the given configurations, identify the element which does not belong to the same family as the others?

View Question Which compound among the following has
the highest dipole moment?

View Question How many among the given species have a bond order of 0.5 ?
$$\mathrm{H}_2^{+}, \mathrm{He}_2^{+}, \mathrm{He}_2^{-}, \m

View Question Match the following.
.tg {border-collapse:collapse;border-spacing:0;}
.tg td{border-color:black;border-style:solid;bor

View Question Among the following the maximum deviation from ideal gas behaviour is expected from

View Question Two flasks $$A$$ and $$B$$ have equal volumes. $$A$$ is maintained at $$300 \mathrm{~K}$$ and $$B$$ at $$600 \mathrm{~K}

View Question If 0.2 moles of sulphuric acid is poured into
250 mL of water, calculate the concentration
of the solution.

View Question For the redox reaction
$$\mathrm{MnO}_4^{-}+\mathrm{C}_2 \mathrm{O}_4^{2-}+\mathrm{H}^{+} \longrightarrow \mathrm{Mn}^{2

View Question When the temperature of 2 moles of an ideal
gas is increased by 20$$^\circ$$C at constant pressure.
Find the work involv

View Question Using the data provided, find the value of equilibrium constant for the following reaction at $$298 \mathrm{~K}$$ and $$

View Question Calculate the pOH of 0.10 M HCl solution.

View Question Which among the following pairs is not an acidic buffer?

View Question Assertion (A) The colour of old lead paintings can be restored by washing them with a dilute solution of $$\mathrm{H}_2

View Question In the preparation of baking soda, H$$_2$$O and CO$$_2$$ in ratio ......... is used to react with Na$$_2$$CO$$_3$$.

View Question The structure of diborane B$$_2$$H$$_6$$ is given
below. Identify the bond angles of x and y. In
diborane, ........... a

View Question The incorrect statement(s) among the following is/are

View Question Which among the following has the highest
concentration of PAN?

View Question What is the IUPAC name of $$\mathrm{CH}_3 \mathrm{CH}\left(\mathrm{CH}_2 \mathrm{CH}_3\right) \mathrm{CHO}$$ ?

View Question Among the following, in which type of chromatography, both stationary and mobile phases are in liquid state?

View Question The product formed when a hydrocarbon $$X$$ of molecular formula $$\mathrm{C}_6 \mathrm{H}_{10}$$ is reacted with sodami

View Question The fcc crystal contains how many atoms in
each unit cell?

View Question Which condition is not satisfied by an ideal solution?

View Question A solution of urea (molar mass $$60 \mathrm{~g} \mathrm{~mol}^{-1}$$ ) boils at $$100.20^{\circ} \mathrm{C}$$ at the atm

View Question At $$291 \mathrm{~K}$$, saturated solution of $$\mathrm{BaSO}_4$$ was found to have a specific conductivity of $$3.648 \

View Question Find the emf of the following cell reaction. Given, $$E_{\mathrm{Cr}^{3+} / \mathrm{Cr}^{2+}}^{\Upsilon}=-0.72 \mathrm{~

View Question For $$\mathrm{C{r_2}O_7^{2 - } + 14{H^ + } + 6{e^ - }\buildrel {Yields} \over
\longrightarrow 2C{r^{3 + }} + 7{H_2}O,{E

View Question The protective power of a lyophilic colloidal sol is expressed in terms of

View Question Due to $$p \pi-p \pi$$ bonding interactions, nitrogen for $$\mathrm{N}_2$$. But phosphorus forms .................. and

View Question Identify the incorrect statements among the following?
(i) $$\mathrm{SF}_6$$ does not react with water.
(ii) $$\mathrm{S

View Question Which statements among the following are correct about helium?
(i) Liquid helium is used to sustain powerful superconduc

View Question The magnetic moment of Fe$$^{2+}$$ is ........ BM.

View Question Which of the following statement is not correct?

View Question Assertion (A) An optically active amino
acid can exist in three forms depending on
the pH of the solution.
Reason (R) Am

View Question The IUPAC name of diacetone alcohol is.

View Question Identify the product of the following reaction.

View Question ## Mathematics

The real valued function $$f(x)=\frac{x}{e^x-1}+\frac{x}{2}+1$$ defined on $$R /\{0\}$$ is

View Question The domain of the function $$f(x)=\frac{1}{[x]-1}$$, where $$[x]$$ is greatest integer function of $$x$$ is

View Question Let $$f: R \rightarrow R$$ be a function defined by $$f(x)=\frac{4^x}{4^x+2}$$, what is the value of $$f\left(\frac{1}{4

View Question For what natural number $$n \in N$$, the inequality $$2^n > n+1$$ is valid?

View Question The value of $$\left|\begin{array}{ccc}b+c & a & a \\ b & c+a & b \\ c & c & a+b\end{array}\right|$$ is

View Question Let $$A, B, C, D$$ be square real matrices such that $$C^T=D A B, D^{\mathrm{T}}=A B C$$ and $$S=A B C D$$, then $$S^2$$

View Question $$A=\left[\begin{array}{ccc}a^2 & 15 & 31 \\ 12 & b^2 & 41 \\ 35 & 61 & c^2\end{array}\right]$$ and $$B=\left[\begin{arr

View Question Let $$a, b$$ and $$c$$ be such that $$b+c \neq 0$$ and
$$\begin{aligned}
& \left|\begin{array}{ccc}
a & a+1 & a-1 \\
-b

View Question If $$|z-2|=|z-1|$$, where $$z$$ is a complex number, then locus $$z$$ is a straight line

View Question If $${\left( {{{1 + i} \over {1 - i}}} \right)^m} = 1$$, then m cannot be equal to

View Question If $$1+x^2=\sqrt{3} x$$, then $$\sum_{n=1}^{24}\left(x^n-\frac{1}{x^n}\right)^2$$ is equal to

View Question If $$\alpha$$ and $$\beta$$ are the roots of $$11 x^2+12 x-13=0$$, then $$\frac{1}{\alpha^2}+\frac{1}{\beta^2}$$ is equa

View Question The value of $$a$$ for which the equations $$x^3+a x+1=0$$ and $$x^4+a x^2+1=0$$ have a common root is

View Question If $$a$$ is a positive integer such that roots of the equation $$7 x^2-13 x+a=0$$ are rational numbers, then the smalles

View Question Let $$p$$ and $$q$$ be the roots of the equation $$x^2-2 x+A=0$$ and let $$r$$ and $$s$$ be the roots of the equation $$

View Question For $$1 \leq r \leq n, \frac{1}{r+1}\left\{{ }^n P_{r+1}-{ }^{(n-1)} P_{r+1}\right\}$$ is equal to

View Question In how many ways 4 balls can be picked from
6 black and 4 green coloured balls such that
at least one black ball is sele

View Question In how many ways can 9 examination papers
be arranged so, that the best and the worst
papers are never together?

View Question Which of the following is partial fraction of $$\frac{-x^2+6 x+13}{(3 x+5)\left(x^2+4 x+4\right)}$$ is equal to

View Question In a $$\triangle A B C$$, if $$3 \sin A+4 \cos B=6$$ and $$4 \sin B+3 \cos A=1$$, then $$\sin (A+B)$$ is equal to

View Question $$\tan \alpha+2 \tan 2 \alpha+4 \tan 4 \alpha+8 \cot 8 \alpha$$ is equal to

View Question If $$f(x)=\frac{\cot x}{1+\cot x}$$ and $$\alpha+\beta=\frac{5 \pi}{4}$$, then the value of $$f(\alpha) f(\beta)$$ is eq

View Question If $$\theta \in[0,2 \pi]$$ and $$\cos 2 \theta=\cos \theta+\sin \theta$$, then the sum of all values of $$\theta$$ satis

View Question For how many distinct values of $$x$$, the following $$\sin \left[2 \cos ^{-1} \cot \left(2 \tan ^{-1} x\right)\right]=0

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

View Question In $$\triangle A B C \cdot \frac{a+b+c}{B C+A B}+\frac{a+b+c}{A C+A B}=3$$, then $$\tan \frac{C}{8}$$ is equal to

View Question Which of the following vector is equally inclined with the coordinate axes?

View Question If $$\hat{\mathbf{i}}+4 \hat{\mathbf{j}}+3 \hat{\mathbf{k}}, \hat{\mathbf{i}}+2 \hat{\mathbf{j}}+3 \hat{\mathbf{k}}$$, a

View Question $$X$$ intercept of the plane containing the line of intersection of the planes $$x-2 y+z+2=0$$ and $$3 x-y-z+1=0$$ and a

View Question If $$\mathbf{a}$$ and $$\mathbf{b}$$ are two vectors such that $$\frac{\mathbf{a} \cdot \mathbf{b}}{|\mathbf{a}||\mathbf

View Question Let $$L_1$$ (resp, $$L_2$$ ) be the line passing through $$2 \hat{\mathbf{i}}-\hat{\mathbf{k}}$$ (resp. $$2 \hat{\mathbf

View Question Let $$\mathbf{a}, \mathbf{b}$$ and $$\mathbf{c}$$ be three-unit vectors and $$\mathbf{a} \cdot \mathbf{b}=\mathbf{a} \cd

View Question Let $$x$$ and $$y$$ are real numbers. If $$\mathbf{a}=(\sin x) \hat{\mathbf{i}}+(\sin y) \hat{\mathbf{j}}$$ and $$\mathb

View Question The mean and variance of $$n$$ observations $$x_1, x_2, x_3, \ldots . . x_n$$ are 5 and 0 respectively. If $$\sum_{i=1}^

View Question Mean of the values $$\sin ^2 10 Y, \sin ^2 20 Y, \sin ^2 30 Y, \ldots \ldots \ldots ., \sin ^2 90 Y$$ is

View Question P speaks truth in 70% of the cases and Q in
80% of the cases. In what percent of cases are
they likely to agree in stati

View Question If $$A$$ and $$B$$ are two events with $$P(A \cap B)=\frac{1}{3}, P(A \cup B)=\frac{5}{6}$$ and $$P\left(A^C\right)=\fra

View Question A coin is tossed 2020 times. The probability of getting head on 1947th toss is

View Question A discrete random variable X takes values 10,
20, 30 and 40. with probability 0.3, 0.3, 0.2
and 0.2 respectively. Then t

View Question Let $$X$$ be a random variable which takes values $$1,2,3,4$$ such that $$P(X=r)=K r^3$$ where $$r=1,2,3,4$$ then

View Question Given, two fixed points $$A(-2,1)$$ and $$B(3,0)$$.
Find the locus of a point $$P$$ which moves such that the angle $$\a

View Question When the coordinate axes are rotated through an angle 135$$\Upsilon$$, the coordinates of a point $$P$$ in the new syste

View Question If $$A(4,7), B(-7,8)$$ and $$C(1,2)$$ are the vertices of $$\triangle A B C$$, then the equation of perpendicular bisect

View Question The ratio in which the straight line $$3 x+4 y=6$$ divides the join of the points $$(2,-1)$$ and $$(1,1)$$ is

View Question Find the equation of a line passing through the point $$(4,3)$$, which cuts a triangle of minimum area from the first qu

View Question If the orthocenter of the triangle formed by the lines $$2 x+3 y-1=0, x+2 y+1=0$$ and $$a x+b y-1=0$$ lies at origin, th

View Question The equation $$8 x^2-24 x y+18 y^2-6 x+9 y-5=0$$ represents a

View Question Find the angle between the pair of lines represented by the equation $$x^2+4 x y+y^2=0$$.

View Question If the acute angle between lines $$a x^2+2 h x y+b y^2=0$$ is $$\frac{\pi}{4}$$, then $$4 h^2$$ is equal to

View Question The angle between the lines represented by $$\cos \theta(\cos \theta+1) x^2-\left(2 \cos \theta+\sin ^2 \theta\right) x

View Question The equations of the tangents to the circle $$x^2+y^2=4$$ drawn from the point $$(4,0)$$ are

View Question If $$P(-9,-1)$$ is a point on the circle $$x^2+y^2+4 x+8 y-38=0$$, then find equation of the tangent drawn at the other

View Question Find the equation of a circle whose radius is 5 units and passes through two points on the $$X$$-axis, which are at a di

View Question If a foot of the normal from the point $$(4,3)$$ to a circle is $$(2,1)$$ and $$2 x-y-2=0$$, is a diameter of the circle

View Question The length of the tangent from any point on the circle $$(x-3)^2+(y+2)^2=5 r^2$$ to the circle $$(x-3)^2+(y+2)^2=r^2$$ i

View Question The equation of the circle, which cuts orthogonally each of the three circles
$$\begin{aligned}
& x^2+y^2-2 x+3 y-7=0, \

View Question Find the equation of the parabola which
passes through (6, $$-$$2), has its vertex at the
origin and its axis along the

View Question In an ellipse, if the distance between the foci
is 6 units and the length of its minor axis is
8 units, then its eccentr

View Question If the points (2, 4, $$-$$1), (3, 6, $$-$$1) and (4, 5, $$-$$1) are three consecutive vertices of a parallelogram,
then

View Question $$A(-1,2-3), B(5,0,-6)$$ and $$C(0,4,-1)$$ are the vertices of a $$\triangle A B C$$. The direction cosines of internal

View Question If the projections of the line segment AB on xy, yz and zx planes are $$\sqrt{15},\sqrt{46},7$$ respectively, then the p

View Question Find the equation of the plane passing through the point $$(2,1,3)$$ and perpendicular to the planes $$x-2 y+2 z+3=0$$ a

View Question If $$f(x)=\left\{\begin{array}{cc}\frac{e^{\alpha x}-e^x-x}{x^2}, & x \neq 0 \\ \frac{3}{2}, & x=0\end{array}\right.$$

View Question The value of $$k(k > 0)$$, for which the function $$f(x)=\frac{\left(e^x-1\right)^4}{\sin \left(\frac{x^2}{k^2}\right) \

View Question If $$\log \left(\sqrt{1+x^2}-x\right)=y\left(\sqrt{1+x^2}\right)$$, then $$\left(1+x^2\right) \frac{d y}{d x}+x y$$ is e

View Question If $$f^{\prime \prime}(x)$$ is continuous at $$x=0$$ and $$f^{\prime \prime}(0)=4$$, then find the following value.
$$\l

View Question If $$y=e^{x^2+e^{x^2+e^{x^2+\cdots \infty}}}$$, then $$\frac{d y}{d x}$$ is equal to

View Question $$\frac{d}{d x}\left[\tan ^{-1}\left(\frac{\cos x}{1+\sin x}\right)\right]$$ is equal to

View Question The maximum value of $$f(x)=\sin (x)$$ in the interval $$\left[\frac{-\pi}{2}, \frac{\pi}{2}\right]$$ is

View Question Given, $$f(x)=x^3-4x$$, if x changes from 2 to 1.99, then the approximate change in the value of $$f(x)$$ is

View Question If the curves $$\frac{x^2}{a^2}+\frac{y^2}{4}=1$$ and $$y^3=16 x$$ intersect at right angles, then $$a^2$$ is equal to

View Question Let $$x$$ and $$y$$ be the sides of two squares such that, $$y=x-x^2$$. The rate of change of area of the second square

View Question If $$f^{\prime \prime}(x)$$ is a positive function for all $$x \in R, f^{\prime}(3)=0$$ and $$g(x)=f\left(\tan ^2(x)-2 \

View Question $$\int \frac{1+x+\sqrt{x+x^2}}{\sqrt{x}+\sqrt{1+x}} d x$$ is equal to

View Question $$\int(\cos x) \log \cot \left(\frac{x}{2}\right) d x$$ is equal to

View Question $$\int \sqrt{e^{4 x}+e^{2 x}} d x$$ is equal to

View Question If $$\int \frac{1}{1+\sin x} d x=\tan (f(x))+c$$, then $$f^{\prime}(0)$$ is equal to

View Question If $$\int_0^{\pi / 2} \tan ^n(x) d x=k \int_0^{\pi / 2} \cot ^n(x) d x$$, then

View Question $$\int_0^2 x e^x d x$$ is equal to

View Question If $$x^2+y^2=1$$, then

View Question ## Physics

The speed of ripples $$(v)$$ on water surface depends on surface tension $$(\sigma)$$, density $$(\rho)$$ and wavelength

View Question An object travelling at a speed of 36 km/h
comes to rest in a distance of 200 m after the
brakes were applied. The retar

View Question A ball is projected upwards. Its acceleration
at the highest point is

View Question A 500 kg car takes a round turn of radius
50 m with a velocity of 36 km/h. The
centripetal force acting on the car is

View Question A motor cyclist wants to drive in horizontal circles on the vertical inner surface of a large cylindrical wooden well of

View Question Two blocks $$A$$ and $$B$$ of masses $$4 \mathrm{~kg}$$ and $$6 \mathrm{~kg}$$ are as shown in the figure. A horizontal

View Question What is the shape of the graph between
speed and kinetic energy of a body?

View Question A quarter horse power motor runs at a speed
of 600 rpm. Assuming 60% efficiency, the
work done by the motor in one rotat

View Question A particle of mass m is projected with a
velocity u making an angle $$\theta$$ with the
horizontal. The magnitude of ang

View Question A sphere of mass m is attached to a spring of
spring constant k and is held in unstretched
position over an inclined pla

View Question A girl of mass M stands on the rim of a
frictionless merry-go-round of radius R and
rotational inertia I, that is not mo

View Question A block of mass $$\mathrm{l} \mathrm{kg}$$ is fastened to a spring of spring constant of $$100 ~\mathrm{Nm}^{-1}$$. The

View Question The scale of a spring balance which can measure from 0 to $$15 \mathrm{~kg}$$ is $$0.25 \mathrm{~m}$$ long. If a body su

View Question The distance through which one has to dig
the Earth from its surface, so as to reach the
point where the acceleration du

View Question Infinite number of masses each of 3kg are
placed along a straight line at the distances
of 1 m, 2m, 4m, 8m, ...... from

View Question Young's modulus of a wire is $$2 \times 10^{11} \mathrm{Nm}^{-2}$$. If an external stretching force of $$2 \times 10^{11

View Question Identify the incorrect statement regarding Reynold's number $$\left(R_e\right)$$.

View Question Expansion during heating

View Question Match the following.
.tg {border-collapse:collapse;border-spacing:0;}
.tg td{border-color:black;border-style:solid;bor

View Question Which of the following is not a reversible
process?

View Question Which one of the graphs below best
illustrates the relationship between internal
energy U of an ideal gas and temperatur

View Question A refrigerator with coefficient of
performance 0.25 releases 250 J of heat to a
hot reservoir. The work done on the work

View Question A vessel has 6 g of oxygen at pressure p and
temperature 400 K. A small hole is made in
it, so that oxygen leaks out. Ho

View Question Match the following.
.tg {border-collapse:collapse;border-spacing:0;}
.tg td{border-color:black;border-style:solid;bor

View Question Light of wavelength $$300 \mathrm{~nm}$$ in medium $$A$$ enters into medium $$B$$ through a plane surface. If the freque

View Question In Young’s double slit experiment, the
separation between the slits is halved and the
distance between the screen is dou

View Question Gauss's law helps in

View Question Charge on the outer sphere is $$q$$ and the inner sphere is grounded. The charge on the inner sphere is $$q^{\prime}$$,

View Question Four capacitors with capacitances $$C_1=l \propto \mathrm{F}, C_2=1.5 \propto \mathrm{F}, C_3=2.5 \propto \mathrm{F}$$ a

View Question In a potentiometer of 10 wires, the balance
point is obtained on the 6th wire. To shift the
balance point to 8th wire, w

View Question In a co-axial, straight cable, the central conductor and the outer conductor carry equal currents in opposite directions

View Question The magnetic field, of a given length of wire
for single turn coil, at its centre is B, then its
value for two turns coi

View Question A solenoid of length $$60 \mathrm{~cm}$$ with 15 turns per $$\mathrm{cm}$$ and area of cross-section $$4 \times 10^{-3}

View Question A bulb of resistance $$280 \Omega$$ is supplied with a 200 V AC supply. What is the peak current?

View Question The magnetic field of a plane electromagnetic wave is given by $$B=(400 \propto \mathrm{T})\sin \left[\left(4.0 \times 1

View Question The de-Broglie wavelength associated with a
proton under the influence of an electric
potential of 100 V is

View Question The ionisation potential of hydrogen atom is
13.6 V. How much energy need to be
supplied to ionise the hydrogen atom in

View Question Which of the following statement is correct?

View Question The length of germanium rod is $$0.925 \mathrm{~cm}$$ and its area of cross-section is $$1 \mathrm{~mm}^2$$. If for germ

View Question In an amplitude modulated signal, the maximum amplitude is $$15 \mathrm{~V}$$ and minimum amplitude is $$5 \mathrm{~V}$$

View Question