AkshitPareek2004/jee-question-analyzer-data huggingface dataset:
Subject: Physics
A hydrogen-like atom has ground state
binding energy \( 122.4 e V . \) Then This question has multiple correct options
A. its atomic number is 3
B. an electron with 90 eV can excite it to a higher state
c. an 80 eV electron can excite it to a higher state
D. an electron of \( 8.2 \mathrm{eV} \) and a photon of \( 91.8 \mathrm{eV} \) emitted when a 100 eV electron interacts with it
Subject: Chemistry
Predict major addition product when the following addition reaction carried out in presence of peroxide:
\( \boldsymbol{C}_{6} \boldsymbol{H}_{5}-\boldsymbol{C H}=\boldsymbol{C H}-\boldsymbol{C H}_{3}+\boldsymbol{C C l}_{4} \rightarrow \)
A \( \cdot C_{6} H_{5}-C H\left(C C l_{3}\right)-C H(C l)-C H_{3} \)
в. \( C_{6} H_{5}-C H(C l)-C H\left(C C l_{3}\right)-C H_{3} \)
c. \( C_{6} H_{5}-C H\left(C C l_{3}\right)-C H_{2}-C H_{2} C l \)
D. \( C_{6} H_{5}-C H_{2}-C H\left(C C l_{3}\right)-C H_{2} C l \)
Subject: Chemistry
Which of the following transitions
involves maximum amount of energy?
\( \mathbf{A} \cdot M_{(s)} \rightarrow M_{(g)} \)
\( \mathbf{B} \cdot M_{(g)} \rightarrow M^{+}(g) \)
\( \mathbf{c} \cdot M^{+}(g) \rightarrow M^{2+}(g) \)
D. \( M^{2+}(g) \rightarrow M^{3+}(g) \)
Subject: Chemistry
Identify the major product \( X \) obtained in
the following reaction.
\( \mathbf{2}, \mathbf{3}- \) dimethyl butan \( -\mathbf{2}- \)
\( \boldsymbol{o l} \stackrel{\boldsymbol{C o n c . H}_{2} \boldsymbol{S O}_{4}}{\longrightarrow} \boldsymbol{X} \)
\( \mathbf{A} \)
B.
\( c \)
D.
Subject: Maths
The area bounded by the curves \( x= \)
\( a \cos ^{3} t, y=a \sin ^{3} t \) is
A \( \cdot \frac{3 \pi a^{2}}{8} \)
в. \( \frac{3 \pi a^{2}}{16} \)
c. \( \frac{3 \pi a^{2}}{32} \)
D. None of the above
Subject: Physics
Find a unit vector perpendicular to \( \vec{A}= \) \( \mathbf{2} \hat{\mathbf{i}}+\mathbf{3} \hat{\mathbf{j}}+\hat{\boldsymbol{k}} \) and \( \overrightarrow{\boldsymbol{B}}=\hat{\boldsymbol{i}}-\hat{\boldsymbol{j}}+\hat{\boldsymbol{k}} \) both
A \( .4 \hat{i}-\hat{j}-5 \hat{k} \)
B. \( \frac{1}{\sqrt{42}}(4 \hat{i}-\hat{j}-5 \hat{k}) \)
c. \( \frac{1}{\sqrt{21}}(4 \hat{i}-\hat{j}-5 \hat{k}) \)
D. \( \frac{1}{\sqrt{14}}(2 \hat{i}-\hat{j}-3 \hat{k}) \)
Subject: Chemistry
A physician wishes to prepare a buffer solution at \( \mathrm{pH}=3.58 \) that efficiently resists a change in pH yet contains only small conc. of the
buffering acid. Which one of the following weak acid together with its sodium salt, would be best to use.
A . m - chloro benzoic acid \( \left(p K_{a}=3.98\right) \)
B. p- chloro cinnamic acid \( \left(p K_{a}=4.41\right) \)
C. 2,5 - dihydroxy benzoic acid \( \left(p K_{a}=2.97\right) \)
D. Acetoacetic acid ( \( p K_{a}=3.58 \) )
Subject: Biology
Protists are
A. Unicellular and prokaryote
B. Unicellular and eukaryote
C. Multicellular and eukaryote
D. Autotroph and heterotroph
\( A \cdot A, B \) and \( C \)
B. B, C and D
\( c \cdot c \) and \( D \)
D. B and D
Subject: Maths
If \( \boldsymbol{y}=\sqrt{\boldsymbol{x}+\sqrt{\boldsymbol{y}+\sqrt{\boldsymbol{x}+\sqrt{\boldsymbol{y}+\ldots \ldots \infty}}}} \)
then \( \frac{\boldsymbol{d} \boldsymbol{y}}{\boldsymbol{d} \boldsymbol{x}} \) is equal to?
A \( \cdot \frac{y+x}{y^{2}-2 x} \)
В. \( \frac{y^{3}-x}{2 y^{2}-2 x y-1} \)
c. \( \frac{y^{3}+x}{2 y^{2}-x} \)
D. None of these
Subject: Maths
If \( A \) is \( 4 \times 5 \) matrix, if \( A^{T} B \) and \( B A^{T} \)
are defined then \( B= \)
\( \mathbf{A} \cdot 5 \times 4 \)
B. \( 4 \times 4 \)
\( \mathbf{c} .5 \times 5 \)
D. \( 4 \times 5 \)
Subject: Physics
Rain drops are falling with a constant speed by the time they reach the ground
because.
A. Rain drops originate in outer space where the gravitational forces are negligible
B. The force due to air resistance increases with the speed of the rain drops until it balances the gravitational force
C. Rain drops are two light and hence not affected by acceleration due to gravity
D. The force due to air resistance is constant and
balances the gravitational force
Subject: Physics
An infinite non-conducting sheet of
charge has a surface charge density of \( 10^{-7} C / m^{2} . \) The separation between two
equipotential surfaces near the sheet whose potential difference by \( 5 V \) is
A \( .0 .88 \mathrm{cm} \)
В. \( 08.8 m m \)
c. \( 0.88 m \)
D. \( 5 \times 10^{-7} m \)
Subject: Chemistry
With respect to halogens, four
statements are given below. Which of
them is correct?
A. The bond dissociation energies for halogens is in the order \( : I_{2}<F_{2}<B r_{2}<C l_{2} \)
B. The only oxidation state is -1
C. The amount of energy required for the excitation of electrons to first excited state decreases progressively as we move from F to 1
D. They form \( H X_{2}^{-} \) species in their aqueous solutions (X=halogen)
Subject: Maths
First row of the matrix \( \boldsymbol{A} \) is \( \left[\begin{array}{lll}\mathbf{1} & \mathbf{3} & \mathbf{2}\end{array}\right] . \)
\[
\begin{array}{l}
\boldsymbol{a d j}(\boldsymbol{A})= \\
{\left[\begin{array}{ccc}
-\mathbf{2} & \mathbf{4} & \boldsymbol{a} \\
-\mathbf{1} & \mathbf{2} & \mathbf{1} \\
\mathbf{3} \boldsymbol{a} & \mathbf{- 5} & \mathbf{- 2}
\end{array}\right]}
\end{array}
\]
then a possible value of \( \operatorname{det}(\boldsymbol{A}) \) is
A . 1
B . 2
\( c \cdot-1 \)
D. -2
Subject: Physics
The given truth table is for
\( \begin{array}{lll}\text { Input } & \text { Input } & \text { Output } \\ \mathrm{A} & \mathrm{B} & \mathrm{Y} \\ 0 & 0 & 1 \\ 0 & 1 & 1 \\ 1 & 0 & 1 \\ 1 & 1 & 0\end{array} \)
A. AND gate
B. OR gate
C. NAND gate
D. NOR gate
Subject: Physics
The position of a body moving along \( x- \)
axis at time \( t \) is given by \( \boldsymbol{x}=\left(\boldsymbol{t}^{2}-\boldsymbol{4} \boldsymbol{t}+\right. \)
6) \( m . \) The distance travelled by body in
time interval \( t=0 \) to \( t=3 \) s is
\( \mathbf{A} \cdot 5 m \)
B. \( 7 m \)
c. \( 4 m \)
D. \( 3 m \)
Subject: Maths
f \( a=x(y-z), b=y(z-x) \) and \( c= \)
\( z(x-y) . \) What is the value of
\( \frac{x y z}{a b c}\left(\frac{a^{3}}{x^{3}}+\frac{b^{3}}{y^{3}}+\frac{c^{3}}{z^{3}}\right) ? \)
Subject: Physics
A full-wave p-n diode rectifier uses a load resistor of \( 1500 \Omega \). No filter is used.
The forward bias resistance of the diode
is \( 10 \Omega . \) the efficiency of the rectifier is
A . \( 81.2 \% \)
B . \( 40.6 \% \)
c. \( 80.4 \% \)
D. \( 40.2 \% \)
Subject: Chemistry
The heat of combustion of \( C, S \) and \( C S_{2} \)
are \( -393.3 \mathrm{kJ},-293.7 \mathrm{kJ} \) and \( -1108.76 \mathrm{kJ} \)
What will be the heat of formation of
\( \boldsymbol{C} \boldsymbol{S}_{2} ? \)
A . -128.02 kJ
в. +970 kJ
c. \( +1108.7 k J \)
D . +12 kJ
Subject: Chemistry
Two closed vessel \( A \) and \( B \) of equal
volume containing air at pressure \( \boldsymbol{P}_{1} \)
and temperature \( T_{1} \) are connected to
each other through a narrow open tube. If the temperature of one is now
maintained at \( T_{1} \) and other at \( T_{2} \) (where
\( \left.T_{1}>T_{2}\right) \) then that what will be the final
pressure?
A \( \cdot \frac{T_{1}}{2 P_{1} T_{2}} \)
В. \( \frac{2 P_{1} T_{2}}{T_{1}+T_{2}} \)
\( \mathbf{c} \cdot \frac{2 P_{1} T_{1}}{T_{1}-T_{2}} \)
D. \( \frac{2 P_{1}}{T_{1}+T_{2}} \)
Subject: Chemistry
Calculate the entropy change in surrounding when 1.00 mol of \( H_{2} O(l) \) is formed under standard condition
\( \triangle_{f} \boldsymbol{H}^{\ominus}=-\mathbf{2} \mathbf{8 6} \boldsymbol{K} \boldsymbol{J} \boldsymbol{m o l}^{-1} \)
Subject: Maths
If \( z \neq 1 \) and \( \frac{z^{2}}{z-1} \) is real, then the
point represented by the complex
number z lies:
A. either on the real axis or on a circle passing through the origin.
B. on a circle with centre at the origin
c. either on the real axis or on a circle not passing through the origin.
D. on the imaginary axis
Subject: Maths
The value of \( k \) if the equation \( k x+ \) \( \sin ^{-1}\left(x^{2}-8 x+17\right)+\cos ^{-1}\left(x^{2}-\right. \)
\( 8 x+17)=\frac{9 \pi}{2} \) has atleast one solution
is
\( \mathbf{A} \cdot 2 \pi \)
в. \( \pi \)
\( c \cdot 1 \)
D.
Subject: Physics
A \( 10 \mathrm{m} \) long copper wire while remaining in the east-west horizontal direction is
falling down with a constant speed of \( 5.0 \mathrm{m} / \mathrm{s} . \) If the horizontal component of
the earth's magnetic field \( 0.30 \times \)
\( 10^{-4} W \) erber \( / m^{2} \)
What is the instantaneous value of the
e.m.f induced in water?
A. 0.15 volts
B. 1.5 volts
c. 0.15 mili volts
D. 1.5 mili volts
Subject: Physics
toppr )
Q Type your question
the rigure. the alstance \( \boldsymbol{a} \) Is \( \mathbf{U} . \mathbf{I} \boldsymbol{Z} \mathbf{U} \boldsymbol{m} \)
When the two charges are at the
locations as shown in the figure, what
are the magnitude and direction of the
net magnetic field they produce at point
\( \boldsymbol{P ?} \)
(Take \( \boldsymbol{v}=\mathbf{4 . 5 0} \times \mathbf{1 0}^{\mathbf{6}} \mathbf{m} \boldsymbol{s}^{-1} \) and \( \boldsymbol{v}^{\prime}= \)
\( \left.9.00 \times 10^{6} m s^{-1}\right) \)
A \( .4 .38 \times 10^{-4} T, \) into the page
B. \( 4.38 \times 10^{-4} T \), out of the page
\( c: \quad 10^{-4} T, \) into the page
D. \( 2.9 \times 10^{-9} T, \) out of the page
Subject: Maths
The table below shows the members in
"Stree-Sakti Kudambasree" Sorted
according to their ages.
Number of members Age group in the
20-30 \( 30-40 \) \( 40-50 \quad 10 \) \( 50-60 \) \( 50-60 \)
\( 60-70 \)
\( 70-80 \) 35 Total
a. If the members are arranged in
increasing order of gas, the member at
what position is taken as media?
b. What is assumed to be age of the
member at the 13 th position?
c. Find the median of the ages.
Subject: Physics
The figure shows a cross-section of a
double glass unit of a window on a
vertical wall. A graph of the temperatures at different points within
the unit is shown next to it. The
temperature difference across the unit
is 13 K. It has a cross-sectional are of 1.3
and the rate of heat flow through it is 65
W. Then the correct statement is (Glass
has a thermal conductivity of
\( \mathbf{1} W \boldsymbol{m}^{-1} \boldsymbol{K}^{-1} \boldsymbol{)} \)
A. The unit is in steady state and in thermal equilibrium.
B. The unit is in steady state but not in thermal equilibrium
C. The unit is not in steady state but is in thermal equilibrium.
D. The unit neither in steady state not in thermal equilibrium.
Subject: Chemistry
Assertion
The \( p- \) isomer of dichlorobenzene has
higher melting point than o - and \( m- \) isomer
Reason
\( p- \) isomer is symmetrical and thus shows more closely packed structure
A. Assertion is true, Reason is true and Reason is correct explanation for Assertion
B. Assertion is true, Reason is true and Reason is NOT the correct explanation for Assertion
c. Assertion is true, Reason is false
D. Assertion is false, Reason is true
Subject: Maths
\( f e^{i \theta}=\cos \theta+i \sin \theta, \) find the value of
\( -\left|\begin{array}{ccc}\mathbf{1} & \boldsymbol{e}^{i \boldsymbol{\pi} / \mathbf{3}} & \boldsymbol{e}^{i \boldsymbol{\pi} / \mathbf{4}} \\ \boldsymbol{e}^{-i \boldsymbol{\pi} / \mathbf{3}} & \mathbf{1} & \boldsymbol{e}^{\boldsymbol{i} \mathbf{2} \boldsymbol{\pi} / \mathbf{3}} \\ \boldsymbol{e}^{-\boldsymbol{i} \boldsymbol{\pi} / \mathbf{4}} & \boldsymbol{e}^{-\boldsymbol{i} \mathbf{2} \boldsymbol{\pi} / \mathbf{3}} & \mathbf{1}\end{array}\right|-\mathbf{2}^{\frac{1}{2}} \)
Subject: Physics
A charge \( Q \) is kept at the corner of a cube. Electric flux passing through one of those faces not touches that charge
is:-
\( ^{A} \cdot \frac{Q}{24 \epsilon_{0}} \)
в. \( \frac{Q}{3 \epsilon_{0}} \)
c. \( \frac{Q}{8 \epsilon_{0}} \)
D. \( \frac{Q}{6 \epsilon_{0}} \)
Subject: Physics
A shown in figure there is a spring block
system. Block of mass \( 500 \mathrm{g} \) is pressed against a horizontal spring fixed at one
end to compress the spring through 5.0
cm. The spring constant is \( 500 \mathrm{N} / \mathrm{m} \) When released, the block moves
horizontally till it leaves the spring Calculate the distance where it will hit
the ground 4 m below the spring?
\( A \cdot 6 m \)
в. \( 4 m \)
\( c .8 m \)
\( D \cdot \sqrt{2} m \)
Subject: Maths
Draw parallelogram ABCD with the following data:
\( A B=6 \mathrm{cm}, A D=5 \mathrm{cm} \) and \( \angle D A B= \)
\( 45^{\circ} \)
Let \( A C \) and \( D B \) meet in 0 and let \( E \) be the
mid-point of Bc. Join OE. then,

OE II AB. ( Enter 1 if true or 0 otherwise)
Subject: Maths
The solution of \( (2 \cos x-1)(3+ \)
\( 2 \cos x)=0 \) in the interval \( 0 \leq \theta \leq 2 \pi \)
is
\( \mathbf{A} \cdot(\pi / 3) \)
В. \( (\pi / 3,5 \pi / 3) \)
c. \( [\pi / 3,5 \pi / 3] \)
D. none of these
Subject: Physics
Assertion
When a ball of mass \( \mathrm{m} \) hits normally a
wall with a velocity \( v \) and rebounds with
same velocity \( v, \) impulse imparted to
the wall is \( 2 m v \)
Reason
Impulse = change in linear momentum
A. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
B. Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion
c. Assertion is correct but Reason is incorrect
D. Assertion is incorrect but Reason is correct
Subject: Chemistry
The vapour pressure of water at room temperature is \( 23.8 \mathrm{mm} \) Hg. The vapour
pressure of an aqueous solution of sucrose with mole fraction 0.1 is equal
to:
\( \mathbf{A} \cdot 23.9 \mathrm{mm} \mathrm{Hg} \)
B. \( 24.2 \mathrm{mm} \) Hg
c. \( 21.42 \mathrm{mm} \) Hg
D. \( 31.44 \mathrm{mm} \) нв
Subject: Physics
A convex lens forms image at a distance \( 60 \mathrm{cm} \) from the lens for an
object placed on its principal axis. If one more convex lens is placed in contact with first one then image shifts closer to combination by \( 40 \mathrm{cm} . \) Focal length of second lens in cm is:
A . 20
B. 30
\( c \cdot 40 \)
D. 50
Subject: Maths
If universal set \( \boldsymbol{\xi}= \)
\( \{a, b, c, d, e, f, g, h\}, A= \)
\( \{b, c, d, e, f\}, B=\{a, b, c, g, h\} \) and
\( C=\{c, d, e, f, g\}, \) then find \( B-A \)
\( \mathbf{A} \cdot\{b, c, e, f\} \)
в. \( \{a, b, f, h\} \)
\( c \cdot\{a, g, h\} \)
D. \( \{a, c, e, g\} \)
Subject: Physics
In a double slit experiment, the two slits
are \( 1 \mathrm{mm} \) apart and the screen is place 1 \( \mathrm{m} \) away. A monochromatic light of wavelength \( 500 \mathrm{nm} \) is used. What will
be the width of each slit for obtaining ten maxima of double slit within the
central maxima of single slit pattern?
A . \( 0.5 m m \)
В. \( 0.02 m m \)
\( c .0 .2 m m \)
D. \( 0.1 m m \)
Subject: Physics
An electrical device draws 2 kW power
from ac mains voltage \( 223 V(r m s) \) The current differs lags in phase by \( \phi=\tan ^{-1}\left(-\frac{3}{4}\right) \) as compared to
voltage. The resistance \( R \) in the circuit
is:
A . \( 15 \Omega \)
B. 20\Omega
c. \( 25 \Omega \)
D. 30\Omega
Subject: Physics
Two metal wire 'P' and 'Q' of same length and material are stretched by same
load. Their masses are in the ratio \( \boldsymbol{m}_{1}: \)
\( m_{2} . \) The ratio of elongations of wire 'P' to
that of 'Q' is
A \( \cdot m_{1}^{2}: m_{2}^{2} \)
в. \( m_{2}^{2}: m_{2}^{1} \)
\( \mathrm{c} \cdot m_{2}: m_{1} \)
D. \( m_{1}: m_{2} \)
Subject: Maths
\( \int\left(\frac{e^{5 \log x}-e^{4 \log x}}{e^{3 \log x}-e^{2 \log x}}\right) d x= \)
A . \( x+c \)
B. \( 3 x^{2}+c \)
c. \( \frac{x^{3}}{3}+c \)
D. \( \frac{x^{3}}{2}+c \)
Subject: Maths
Assertion \( f_{i=1}^{2 n} \sin ^{-1} x_{i}=n \pi \forall n \epsilon N \) then \( \sum_{i=1}^{2 n} x_{i}= \)
\( \sum_{i=1}^{2 n} x_{i}^{2}=\sum_{i=1}^{2 n} x_{i}^{n}=2 n \)
Reason \( -\frac{\pi}{2} \leq \sin ^{-1} x \leq \frac{\pi}{2} \forall x \epsilon[-1,1] \)
A. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
B. Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion
c. Assertion is correct but Reason is incorrect
D. Assertion false but Reason is true
Subject: Chemistry
\( \boldsymbol{T}_{50} \) (Half-life period) of first - order
reaction is 10 minute. Starting with
\( 10 m o l L^{-1}, \) rate after 20 minute is :
A \( \cdot 0.0693 m o l L^{-1} \min ^{-1} \)
В. \( 0.0693 \times 2.5 \) molL\( ^{-1} \) min \( ^{-1} \)
\( \mathbf{c} \cdot 0.0693 \times 5 m o l L^{-1} \min ^{-1} \)
D. \( 0.0693 \times 10 \) molL\( ^{-1} \) min \( ^{-1} \)
Subject: Maths
Find \( \boldsymbol{m}, \) if \( \boldsymbol{v}=\mathbf{3}, \boldsymbol{g}=\mathbf{1 0}, \boldsymbol{h}=\mathbf{5} \) and \( \boldsymbol{E}= \)
\( \mathbf{1 0 9} \)
A .
B . 2
\( c .3 \)
D.
Subject: Maths
A student scores the following marks in five test: \( 45,54,41,57,43 . \) His score is not known for the sixth test. If the mean
score is 48 in the six tests, then the standard deviation of the marks in six
test is
A \( \cdot \frac{10}{\sqrt{3}} \)
в. \( \frac{100}{\sqrt{3}} \)
c. \( \frac{130}{3} \)
D. \( \frac{10}{3} \)
Subject: Maths
Choose and write the correct
alternative.
If \( 3 \sin \theta=4 \cos \theta \) then \( \cot \theta=? \)
A \( \cdot \frac{4}{3} \)
B. \( \frac{3}{5} \)
\( c \cdot \frac{3}{4} \)
D. \( \frac{5}{4} \)
Subject: Chemistry
Select pair of compounds in which both have different hybridization but have
same molecular geometry.
A. \( B F_{3}, B r F_{3} \)
в. \( I C l_{2}^{-}, B e C l_{2} \)
c. \( B C l_{3}, P C l_{3} \)
D. \( P C l_{3}, N C l_{3} \)
Subject: Maths
Let the sum of the series \( \frac{1}{1^{3}}+ \) \( \frac{1+2}{1^{3}+2^{3}}+\ldots . .+\frac{1+2+\ldots .+n}{1^{3}+2^{3}+\ldots . .+n^{3}} \)
upto \( n \) terms be \( S_{n}, n=1,2,3, \dots . . \)
Then \( S_{n} \) cannot be greater than
This question has multiple correct options
A \( \cdot \frac{1}{2} \)
B.
c. 2
D. 4
Subject: Physics
Charge is distributed within a sphere of
radius R with a volume charge density \( \rho(r)=\frac{A}{r^{2}} e^{-2 r / a}, \) where \( A \) and a are
constants. If \( Q \) is the total charge of this
charge distribution, the radius R is:
A \( \cdot \frac{a}{2} \log \left(1-\frac{Q}{2 \pi a A}\right) \)
B. \( \operatorname{alog}\left(1-\frac{Q}{2 \pi a A}\right) \)
\( ^{\mathbf{C}} \operatorname{alog}\left(\frac{1}{1-\frac{Q}{2 \pi a A}}\right) \)
\( ^{\mathrm{D}} \cdot_{\overline{2}}^{a} \log \left(\frac{1}{1-\frac{Q}{2 \pi a A}}\right) \)
Subject: Physics
A sphere of mass \( \mathrm{m} \) and radius \( r \) is
projected in a gravity free space with speed \( v . \) If coefficient of viscosity of the medium in which, it moves is \( \frac{1}{6 \pi}, \) then the distance travelled by the body before it stops, is:
A \( \cdot \frac{m v}{2 r} \)
в. \( \frac{2 m v}{r} \)
c. \( \frac{m v}{r} \)
D. \( \frac{m v}{4 r} \)
Subject: Chemistry
If the concentration of reactants is
increased by 'X', the rate constant \( \mathrm{K} \) becomes:
\( \mathbf{A} \cdot e^{\left(\frac{K}{X}\right)} \)
B . \( \frac{K}{X} \)
c. \( K \)
D. \( \frac{x}{K} \)
Subject: Physics
Assertion
Sound is considered a longitudinal
wave
Reason
Longitudinal waves cause the medium to vibrate parallel to the direction of the
wave
A. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
B. Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion
c. Assertion is correct but Reason is incorrect
D. Both Assertion and Reason are incorrect
Subject: Maths
Construct a quadrilateral \( \boldsymbol{V} \boldsymbol{A} \boldsymbol{B} \boldsymbol{N} \)
where \( \boldsymbol{V} \boldsymbol{A}=\mathbf{7} \boldsymbol{c m}, \boldsymbol{A B}=\mathbf{8} \boldsymbol{c m}, \boldsymbol{B} \boldsymbol{N}= \)
\( \mathbf{1 0} c \boldsymbol{m}, \boldsymbol{A} \boldsymbol{N}=\mathbf{1 2} \boldsymbol{c m} \) and \( \boldsymbol{V} \boldsymbol{B}=\mathbf{1 1} \boldsymbol{c m} \)
The measure of \( \angle B O N \), where \( O \) is the
intersection point of \( \boldsymbol{A} \boldsymbol{N} \) and \( \boldsymbol{B} \boldsymbol{V} \), is
A \( \cdot 100^{\circ} \)
B . \( 106^{\circ} \)
\( \mathrm{c} \cdot 96^{\circ} \)
D. \( 110^{\circ} \)
Subject: Physics
Assertion
In an elastic collision between two bodies, the relative speed of the bodies after collision is equal to the relative speed before the collision.
Reason
In an elastic collision, the linear momentum of the system is conserved.
A. Statement-1 is True, Statement-2 is True; Statement- is a correct explanation for Statement-
B. Statement-1 is True, Statement-2 is True; Statement is NOT a correct explanation for Statement-1
c. statement- - 1 is True, Statement- 2 is False
D. Statement- -1 is False, Statement-2 is True
Subject: Chemistry
Which of the following statements does not show correct difference between
adsorption and absorption?
A. In adsorption, the substance is concentrated only at the surface while in absorption it is uniformly distributed in the bulk
B. Adsorption is instantaneous while absorption is a slow process
c. A substance can be adsorbed as well as absorbed simultaneously and the process is called sorption.
D. Only gases are adsorbed while solids and liquids are absorbed
Subject: Chemistry
A solution contains \( 3.22 g \) of \( H C l O_{2} \) in
\( 47.0 g \) of water. The freezing point of the
solution is \( 271.10 K \)

Calculate the fraction of \( H C l O_{2} \) that
undergoes dissociation to \( \boldsymbol{H}^{+} \) and
\( C l O_{2}^{-} \)
Given: \( \boldsymbol{K}_{f}(\boldsymbol{w} \boldsymbol{a} \boldsymbol{t e r})=\mathbf{1 . 8 6} \boldsymbol{K} \boldsymbol{k g} \boldsymbol{m o l}^{-1} \)
B. \( \alpha=0.204 \)
C . \( \alpha=0.30 \)
D. \( \alpha=0.60 \)
Subject: Maths
An experiment can result in only 3 mutually exclusive events \( A, B \) and \( C . \) If
\( \boldsymbol{P}(\boldsymbol{A})=2 \boldsymbol{P}(\boldsymbol{B})=\boldsymbol{3} \boldsymbol{P}(\boldsymbol{C}), \) then \( \boldsymbol{P}(\boldsymbol{A}) \)
equals
A \( \cdot \frac{5}{11} \)
в. \( \frac{9}{11} \)
\( c \cdot \frac{8}{11} \)
D. \( \frac{6}{11} \)
Subject: Biology
Who among the following gave an incorrect statement?

Rohan : There are more than 1000
varieties of mangoes in India. Priti : Every year, the International Mango Festival is held in Nagpur. Raj : Mango fruit is an excellent source of vitamin \( A, B, C, E \) and
flavonoids.
Simaran : Best 50 varieties of mangoes
are only exhibited in international
Mango Festival
A. Priti and Raj
B. Rohan and Simran
c. Priti and Simran
D. Rohan and Raj
Subject: Physics
In an electron microscope the accelerating voltage is increased from \( 20 \mathrm{kV} \) to \( 80 \mathrm{kV} \), the resolving power ofthe microscope will become.
\( A \cdot 2 R \)
B. \( \frac{2}{R} \)
\( c \cdot 4 R \)
D. 3R
Subject: Maths
In the figure given below, \( D E \| B C \). If
\( \boldsymbol{A D}=\boldsymbol{p} \mathrm{cm}, \boldsymbol{D B}=\boldsymbol{p}-\boldsymbol{2} \mathrm{cm}, \boldsymbol{A} \boldsymbol{E}= \)
\( p-1 \mathrm{cm}, \) then find the value of \( \mathrm{p} \)
\( A \)
B.
c. None
\( D \)
Subject: Maths
Figure shows a semicircle that is the graph of the equation \( y=\sqrt{6 x-x^{2}} \).
the semicircle is rotated \( 360^{\circ} \) about the
\( x \) -axis, calculate the volume of the
sphere that is created
\( A \cdot 6 \pi \)
В. \( 12 \pi \)
\( c .18 \pi \)
D. \( 24 \pi \)
E. \( 36 \pi \)
Subject: Maths
The function \( \boldsymbol{f}: \boldsymbol{A} \rightarrow \boldsymbol{B} \) defined by
\( \boldsymbol{f}(\boldsymbol{x})=-\boldsymbol{x}^{2}+\boldsymbol{6} \boldsymbol{x}-\boldsymbol{8} \) is a bijection, if
A \( . A=(-\infty, 3] \) and \( B=(-\infty, 1] \)
B. \( A=[3, \infty) \) and \( B=R \)
C. \( A=(-\infty, 3] \) and \( B=[1, \infty) \)
D. \( A=[3, \infty) \) and \( B=[1, \infty) \)
Subject: Chemistry
(a) Calculate \( \Delta_{r} G^{0} \) for the reaction
\( M g(s)+C u^{2+}(a q) \rightarrow M g^{2+}(a q)+ \)
\( \boldsymbol{C u}(\boldsymbol{s}) \)
Given: \( \boldsymbol{E}_{c e l l}^{0}=\mathbf{2 . 7 1} \boldsymbol{V}, \mathbf{1} \boldsymbol{F}= \)
\( 96500 C m o l^{-1} \)
(b) Name the type of cell that was used in Apollo space program for providing electrical power.
Subject: Chemistry
\( 20 m L \) solution of \( 0.1 ~ M \) ferrous
sulphate was completely oxidised using a suitable oxidising agent. What is the number of electrons exchanged?
A. \( 1.204 \times 10^{22} \)
в. 193
c. 1930
D. \( 1.204 \times 10^{2} \)