AkshitPareek2004/jee-question-analyzer-data huggingface dataset:
Subject: Physics
A car moves at a speed of \( 20 \mathrm{ms}^{-1} \) on a banked track and describes an arc of a circle of radius \( 40 \sqrt{3} . \) The angle of
banking is (take, \( \left.g=10 m s^{-2}\right) \)
A \( .25^{\circ} \)
B. 60
\( c \cdot 45 \)
D. 30
E \( .40^{\circ} \)
Subject: Maths
If the points \( (a, 0),(0, b), \) and (1,1) are
collinear then
A \( \cdot \frac{1}{a}+\frac{1}{b}=1 \)
B. \( a+b=1 \)
\( c \cdot a+b=2 \)
D. \( \frac{1}{a}-\frac{1}{b}=1 \)
Subject: Physics
Alternating current of peak value \( \left(\frac{2}{\pi}\right) \) ampere flows through the primary coil of the transformer. The coefficient of
mutual inductance between primary and secondary coil is 1 henry. The peak
e.m.f. induced in secondary coil is (Frequency of a.c. \( =50 \mathrm{Hz}) \)
\( A \cdot 100 v \)
B. 200 V
c. 300
D. 400
Subject: Biology
Stages of hydrarch are
(a) Marsh meadow stage,
(b) Reed swamp stage,
(c) Submerged plant stage,
(d) Phytoplankton stage,
(e) Submerged free floating stage. Identify the correct sequence.
\( A \cdot d, c, e, b, a \)
B. \( c, e, a, b, d \)
c. \( b, d, c, \) a, e
D. \( \mathrm{d}, \mathrm{e}, \mathrm{c}, \mathrm{b}, \mathrm{a} \)
Subject: Physics
A 50 V d.c power supply is used to charge a battery of eight lead
accumulators, each of emf \( 2 \mathrm{V} \) and
internal resistance \( 1 / 8 \Omega \). The charging current also runs a motor connected in
series with the battery. The resistance of the motor is \( 5 \Omega \) and the steady current supply is 4 A. The mechanical power stored in the motor is
A. \( 80 \mathrm{w} \)
B. 40 \( w \)
\( c \cdot 64 w \)
D. 30 w
Subject: Biology
Assertion
To give scientific name to a plant, there
is ICBN.
Reason
It uses articles, photographs and recommendations to name a plant.
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: Physics
A man is walking on a road with a velocity \( 3 k m / h . \) Suddenly rain starts falling. Velocity of rain is \( 10 \mathrm{km} / \mathrm{h} \) in vertically downward direction. The relative velocity of the rain with respect to man is
A \( \cdot \sqrt{13} k m / h r \)
B. \( \sqrt{7} \mathrm{km} / \mathrm{hr} \)
c. \( \sqrt{109} \mathrm{km} / \mathrm{hr} \)
D. \( 13 \mathrm{km} / \mathrm{hr} \)
Subject: Physics
A particle is moving in the \( x \) -y plane. At certain instant of time,the components of its velocity and acceleration are as
follows: \( \boldsymbol{v}_{\boldsymbol{x}}=\mathbf{3} \quad \boldsymbol{m} \boldsymbol{s}^{-1}, \boldsymbol{v}_{\boldsymbol{y}}=\boldsymbol{4} \quad \boldsymbol{m} \boldsymbol{s}^{-1} \)
\( \boldsymbol{a}_{\boldsymbol{x}}=\mathbf{2} \quad \boldsymbol{m} \boldsymbol{s}^{-2} \) and \( \boldsymbol{a}_{\boldsymbol{y}}=\mathbf{1} \quad \boldsymbol{m} \boldsymbol{s}^{-1} . \) The
rate of change of speed at this moment is:
\( \mathbf{A} \cdot \sqrt{10} m s^{-2} \)
B. \( 4 m s^{-2} \)
c. \( \sqrt{5} m s^{-2} \)
D. \( 2 m s^{-2} \)
Subject: Physics
A small sphere of radius r falls from rest
in a viscous liquid. As a result, heat is
produced due to viscous force. The rate of production of heat when the sphere attains its terminal velocity is
proportional to:
A \( \cdot r^{5} \)
B \( \cdot r^{2} \)
\( c \cdot r^{3} \)
D. \( r^{4} \)
Subject: Chemistry
Assertion
AgI does not dissolve in \( N H_{3} \)
Reason
This does not dissolve due to ionic
character of \( \boldsymbol{A} \boldsymbol{g} \boldsymbol{I} \)
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: Chemistry
Consider the distribution of speeds of
molecules as shown in figure Which is
correct ordering for speeds?
A \( . V_{r m s}<V_{a v g}<V_{m p} \)
B. \( V_{r m s}<V_{m p}<V_{a v g} \)
\( \mathbf{C} \cdot V_{a v g}<V_{r m s}<V_{m p} \)
\( \mathbf{D} \cdot V_{m p}<V_{a v g}<V_{r m s} \)
Subject: Chemistry
Among \( L i C l, R b C l, B e C l_{2} \) and \( M g C l_{2} \)
which two are the highest and the lowest ionic compounds?
A. \( L i C l \) \& \( R b C l \)
в. \( R b C l \& B e C l_{2} \)
c. \( R b C l \& M g C l_{2} \)
D. \( M g C l_{2} \& B e C l_{2} \)
Subject: Physics
A particle moves along x-axis in such a way its coordinate (x) varies with time
(t) according to the expression \( \boldsymbol{x}=\mathbf{2}- \)
\( 5 t+6 t^{2} \). its intial velocity is
A. \( -3 m s^{-1} \)
B. \( -5 m s^{-1} \)
\( \mathbf{c} \cdot 2 m s^{-1} \)
D. \( 3 m s^{-1} \)
Subject: Chemistry
Benzyl chloride \( \left(C_{6} H_{5} C H_{2} C l\right) \) can be
prepared from toluene by chlorination
with?
This question has multiple correct options
\( A \cdot S O_{2} C I_{2} \)
в. \( \operatorname{SOCI}_{2} \)
c. \( C I_{2} \)
D. \( N a O C I \)
Subject: Physics
The displacement-time graphs of two particles \( A \) and \( B \) are straight lines
making angles of respectively \( 30^{0} \) and
\( 60^{0} \) with the time axis. If the velocity of
\( A \) is \( v_{A} \) and that of \( B \) is \( v_{B}, \) then value of \( \frac{\boldsymbol{v}_{\boldsymbol{A}}}{\boldsymbol{v}_{\boldsymbol{B}}} \) is:
A. \( 1 / 2 \)
B. \( 1 / \sqrt{3} \)
\( c \cdot \sqrt{3} \)
D. \( 1 / 3 \)
Subject: Physics
Two blocks of steel A and B, A being two
times heavier than \( \mathrm{B} \), are at \( 40^{\circ} \mathrm{C} \). The
ratio of heat content of \( A \) to \( B \) is:
\( A \cdot 1 \)
B. 4
\( c \cdot 2 \)
D.
Subject: Physics
The apparent wavelength of light from a star moving away from the earth is \( 0.02 \% \) more than actual wavelength. What is the velocity of the star.
\( \mathbf{A} \cdot 30 k m s^{-1} \)
B . \( 60 k m s^{-1} \)
c. \( 90 k m s^{-1} \)
D. None of these
Subject: Chemistry
What amount of heat (in \( \mathrm{kJ} \) ) is released
in forming \( 31.2 g \) of \( A s H_{3} \) by the
following reaction? (Given : At. wt. As = 75, H = 1) Given \( : 2 A s(s)+3 H 2(g) \rightarrow 2 A s H 3(g) \)
\( \Delta H=-780 k J \)
A. 312
B. 390
\( c \cdot \) १५
D. 780
Subject: Physics
\( 1 \mu C \) charge is uniformly distributed on a spherical shell given by equation \( \boldsymbol{x}^{2}+\boldsymbol{y}^{2}+\boldsymbol{z}^{2}=\mathbf{2 5} . \) What will be
intensity of electric field at a point
(1,1,2)\( ? \)
Subject: Chemistry
Identify the correct statement(s).
\( \mathbf{A} \cdot C H_{3}-C H_{2}-C H_{2}-C O-C H_{3}, C H_{3}-C H_{2}- \)
\( C O-C H_{2}-C H_{3} \) are position isomers only
B. \( C H_{3}-C H_{2}-C H_{2}-C O-C H_{3}, C H_{3}-C H_{2}- \)
\( C O-C H_{2}-C H_{3} \) are position isomers as well as
metamers.
\( \mathbf{c} \cdot C H_{3}-C O-C H\left(C H_{3}\right)-C H_{3}, C H_{3} C O-C H_{2}- \)
\( C H_{2}-C H_{3} \) are tautomers to each other
D. \( C H_{2}=C(O H)-C H_{2}-C H_{2}-C H_{3}, C H_{3}- \)
\( C(O H)=C H-C H_{2}-C H_{3} \) are tautomers as well as
position isomers
Subject: Physics
The driver of a train moving with a
speed \( v_{1} \) sights another train at a
distance \( s, \) ahead of him moving in the
same direction with a slower speed \( v_{2} \) He applies the brakes and gives a
constant deceleration \( a \) to his train. For
no collision, \( s \) is
\( \stackrel{\mathbf{A}}{=}=\frac{\left(v_{2}-v_{1}\right)^{2}}{2 a} \)
\( ^{\mathrm{B}} \cdot \quad \frac{\left(v_{1}-v_{2}\right)^{2}}{2 a} \)
\( ^{\mathrm{C}}<\frac{\left(v_{1}-v_{2}\right)^{2}}{2 a} \)
D. \( <\frac{v_{1}-v_{2}}{2 a} \)
Subject: Physics
A tuning fork vibrating with a sonometer wire of length \( 20 \mathrm{cm} \) produces 5 beats per second. The beat frequency does not change if the length of the wire is changed to \( 21 \mathrm{cm} . \) The frequency of the tuning fork must be:
A \( .200 \mathrm{Hz} \)
в. 210 Нг
c. \( 205 ~ H z \)
D. 215 Н
Subject: Maths
An aeroplane at an altitude of
960 meters flying horizontally at \( \mathbf{7} 20 k m / h r . \) passes directly over an observer. The rate at which it is
approaching the observers when it is
1600 meters directly away from him is
A. \( 576 \mathrm{km} / \mathrm{hr} \)
B. \( 676 \mathrm{km} / \mathrm{hr} \)
c. \( 720 \mathrm{km} / \mathrm{hr} \)
D. \( 570 \mathrm{km} / \mathrm{hr} \)
Subject: Physics
Assertion: The motion of the earth
around the sun is periodic but not
oscillatory. Reason : Oscillatory motion is necessarily periodic but periodic motion is not necessarily oscillatory.
A. If both assertion and reason are true and reason is the correct explanation of assertion.
B. If both assertion and reason are true and reason is not the correct explanation of assertion.
c. If assertion is true but reason is false
D. If both assertion and reason are false
Subject: Chemistry
In the sequence of the given reactions, the starting compound \( \boldsymbol{P} \) is:
\( \mathrm{P} \frac{(1) \mathrm{Br}_{2}}{(2) \mathrm{S}_{\mathrm{n}} \mathrm{HCl}}>2 \frac{(1) \mathrm{NaNO}_{2 \mathrm{HCl}}}{273-278 \mathrm{K}} \times \frac{\mathrm{KMnO}_{4}}{(2) \mathrm{H}_{2} \mathrm{O} / \mathrm{H}_{3} \mathrm{PO}_{2}} \)
A . o-nitro toluene
B. m-nitro toluene
c. o-bromo toluene
D. p-nitro toluene
Subject: Physics
A body of mass \( 5 k g \) is acted on by a net
force \( \boldsymbol{F} \) which varies with time \( t \) as
shown in graph. Then the net
momentum in \( S I \) units gained by the
body at the end of 10 seconds is
\( A \)
в. 100
\( c .140 \)
D. 200
Subject: Physics
A solid sphere of radius \( r \) and mass \( m \) is spinning about a diameter as axis with
a speed \( \omega_{0} . \) The temperature of the
sphere increases by \( 100^{\circ} \mathrm{C} \) without any
other disturbance. If the coefficient of
linear expansion of material of sphere
is \( 2 \times 10^{-4} /^{\circ} C, \) the ratio of angular
speed at \( 100^{\circ} \mathrm{C} \) and \( \omega_{0} \) is
A . 1:
B. 1: 1.04
\( c \cdot 1.04: \)
D. 1:1.02
Subject: Maths
A coin is tossed 150 times and the
outcomes are recorded. The frequency distribution of the outcomes \( H \) (i.e, head)
and \( T \) (i.e, tail) is given below :
Outcome
\[
\begin{array}{ll}
\boldsymbol{H} & \boldsymbol{T} \\
& \\
85 & 65
\end{array}
\]
Frequency
Find the value of \( P(H) \), i.e, probability of
getting a head in a single trial.
A \( . P(H)=0.75 \) (approx)
B . \( P(H)=0.9 \) (approx)
C. \( P(H)=0.15 \) (approx)
D. None of these
Subject: Physics
One end of an ideal spring is fixed to a
wall at origin \( O \) and axis of spring is
parallel to x-axis. A block of mass \( \boldsymbol{m}= \)
1 kg is attached to free end of the
spring and it is performing SHM. Equation of position of the block in coordinate system shown in figure is
\( \boldsymbol{x}=\mathbf{1 0}+\mathbf{3} \sin (\mathbf{1 0} \boldsymbol{t}) . \) Here, \( \boldsymbol{t} \) is in second
and \( x \) in cm. Another block of mass
\( M=3 k g, \) moving towards the origin
with velocity \( 30 \mathrm{cm} / \mathrm{s} \) collides with the block performing SHM at \( t=0 \) and gets
stuck to it. Calculate new amplitude of oscillations
Subject: Physics
In L-C-R circuit power of 3 mH
inductance and \( 4 \Omega \) resistance, EMF
\( \boldsymbol{E}=\mathbf{4} \cos \mathbf{1 0 0 0} \boldsymbol{t} \) volt is applied. The
amplitude of current is
A \( .0 .8 \AA \)
в. \( \frac{4}{7} \)
c. \( 1.0 \dot{A} \)
D. \( \frac{4}{\sqrt{7}} \dot{A} \)
Subject: Chemistry
Statement 1: Hydrogen peroxide, \( \boldsymbol{H}_{2} \boldsymbol{O}_{2} \) is a good oxidizing agent.

Statement 2: The hydrogen in \( H_{2} O_{2} \) has
+1 oxidation number.
A. Both Statement 1 and Statement 2 are correct and Statement 2 is the correct explanation of Statement 1.
B. Both Statement 1 and Statement 2 are correct, but Statement 2 is NOT the correct explanation of Statement 1.
c. statement 1 is correct, but statement 2 is not correct
D. Statement 1 is not correct, but Statement 2 is correct
Subject: Physics
Q Type your question
\( m_{1} \) and \( m_{2}, \) the coetticient of triction
between the body \( m_{1} \) and the horizontal
plane is equal to \( k, \) and a pulley of mass
\( m \) is assumed to be a uniform disc. The
thread does not slip over the pulley. At
the moment \( t=0 \) the body \( m_{2} \) starts
descending. Assuming the mass of the thread and the friction in the axle of the
pulley to be negligible, find the work performed by the friction forces
acting on the body \( m_{1} \) over the first \( t \) seconds after the beginning of motion.
\( ^{\mathbf{A}} \cdot_{A}=-\frac{k m_{1}\left(m_{1}-k m_{1}\right) g^{2} t^{2}}{m+2\left(m_{1}+m_{2}\right)} \)
B. \( A=-\frac{k m_{1}\left(m_{1}+k m_{1}\right) g^{2} t^{2}}{m+2\left(m_{1}-m_{2}\right)} \)
c. \( A=\frac{k m_{1}\left(m_{1}+k m_{1}\right) g^{2} t^{2}}{m+2\left(m_{1}+m_{2}\right)} \)
D. None of these
Subject: Chemistry
Bond dissociation enthalpies of \( \boldsymbol{H}_{\mathbf{2}(\boldsymbol{g})} \) and \( N_{2(g)} \) are \( 436.0 K J \) mol \( ^{-1} \) and 941.8
\( K J \) mol \( ^{-1}, \) respectively and enthalpy of
formation of \( \boldsymbol{N} \boldsymbol{H}_{\mathbf{3}(\boldsymbol{g})} \) is \( -\mathbf{4 6} \boldsymbol{K} \boldsymbol{J} \boldsymbol{m o l}^{-1} \)
What is the enthalpy of atomization of
\( N H_{3}_{(g)} \) and the average bond enthalpy
of \( N-H \) bond respectively \( (\text { in } K J \)
\( \left.m o l^{-1}\right) ? \)
A. 1170.9,390.3
B. 117,300
c. 300,200
D. 2000, 1975
Subject: Chemistry
Among statements (a)-(d), the correct
ones are:
(a) Decomposition of hydrogen peroxide gives dioxygen.
(b) Like hydrogen peroxide, compounds,
\( \operatorname{such} \) as \( K C l O_{3}, P b\left(N O_{3}\right)_{2} \) and
\( N a N O_{3} \) when heated liberate dioxygen.
(c) 2-Ethylanthraquinone is useful for the industrial preparation of hydrogen peroxide.
(d) Hydrogen peroxide is used for the manufacture of sodium perborate.
\( A \cdot(a),(b) \) and \( (c) \) only
B. (a) and (c) only
\( c \cdot(a),(b),(c) \) and \( (d) \)
D. (a), (c) and (d) only
Subject: Maths
The cartesian product \( \boldsymbol{A} \times \boldsymbol{A} \) has \( \mathbf{9} \)
elements among which are found (-1,0) and \( (0,1) . \) Find the set \( A \) and
the remaining elements of \( \boldsymbol{A} \times \boldsymbol{A} \)
Subject: Maths
In triangle \( A B C, \angle A=30^{\circ}, H \) is the
orthocentre and \( D \) is the midpoint of
BC. Segment \( H D \) is produced to \( T \)
such that \( \boldsymbol{H} \boldsymbol{D}=\boldsymbol{D} \boldsymbol{T} . \) The length \( \boldsymbol{A} \boldsymbol{T} \) is
equal to
A. \( 2 B C \)
в. \( 3 B C \)
c. \( \frac{4}{3} B C \)
D. None of these
Subject: Maths
\( \mid \begin{array}{cccc}\boldsymbol{a} & \boldsymbol{b} & \boldsymbol{c} & \boldsymbol{d} \\ \boldsymbol{a} & \boldsymbol{a}+\boldsymbol{b} & \boldsymbol{a}+\boldsymbol{b}+\boldsymbol{c} & \boldsymbol{a}+\boldsymbol{b}+\boldsymbol{c} \\ \boldsymbol{a} & \boldsymbol{2} \boldsymbol{a}+\boldsymbol{b} & \boldsymbol{3} \boldsymbol{a}+\boldsymbol{2} \boldsymbol{b}+\boldsymbol{c} & \boldsymbol{4} \boldsymbol{a}+\boldsymbol{3} \boldsymbol{b}+\boldsymbol{2} \\ \boldsymbol{a} & \boldsymbol{3} \boldsymbol{a}+\boldsymbol{b} & \boldsymbol{6} \boldsymbol{a}+\boldsymbol{3} \boldsymbol{b}+\boldsymbol{c} & \boldsymbol{1} \boldsymbol{0} \boldsymbol{a}+\boldsymbol{6} \boldsymbol{b}+\boldsymbol{3}\end{array} \)
Subject: Physics
An object falls from rest with an
acceleration \( g \). The uncertainty in the value of the time is \( \pm 6 \% \) and the
uncertainty in the value of \( g \) is \( \pm 4 \% \). The
best estimate for the uncertainty of the position of the of the object is:-
\( \mathbf{A} \cdot \pm 16 \% \)
B . \( \pm 10 \% \)
\( c . \pm 5 \% \)
D. \( \pm 8 \% \)
Subject: Physics
The graph shows position as a function
of time for two trains \( A \) and \( B \) running
on parallel tracks. For time greater than
\( t=0, \) which of the following statement is
true ?
A. Both trains have the same velocity at timet \( _{B} \)
B. Both trains speed up all the time.
c. Both trains may have the same velocity at some time earlier than \( t_{E} \)
D. Graph indicates that both trains have the same acceleration at a given time
Subject: Chemistry
Two carbon discs of \( 1.0 g \) each are
1.0 \( c m \) apart have equal and opposite charges. If forces of attraction between
them is \( 1.00 \times 10^{-5} N \), calculate the
ratio of excess electrons to total atoms
on the negatively charged disc. (permitivity constant is \( 9.0 \times 10^{9} N m^{2} \)
\( \left.C^{-2}\right) \)
A \( \cdot 6.68 \times 10^{-33} \)
В. \( 1.6 \times 10^{-14} \)
c. \( 4.17 \times 10^{-12} \)
D. \( 4.17 \times 10^{-14} \)
Subject: Maths
The roots of the equation \( 2 x^{2}+x- \)
\( 4=0 \) are
\( \mathbf{A} \cdot 1,-4 \)
в. \( -3, \frac{1}{\sqrt{3}} \)
c. \( \frac{\sqrt{33}-1}{4}, \frac{-\sqrt{33}-1}{4} \)
D. None
Subject: Maths
Assertion STATEMENT-1: If \( \vec{a}, \vec{b}, \vec{c} \) are non coplanar unit vectors equally inclined to one
another at an angle \( \theta, \) then there will
exist three scalar \( p, q, r \) such that \( \vec{a} \times \) \( \overrightarrow{\boldsymbol{b}}+\overrightarrow{\boldsymbol{b}} \times \overrightarrow{\boldsymbol{c}}=\boldsymbol{p} \overrightarrow{\boldsymbol{a}}+\boldsymbol{q} \overrightarrow{\boldsymbol{b}}+\boldsymbol{r} \overrightarrow{\boldsymbol{c}} \)
Reason STATEMENT-2 : \( \overrightarrow{\boldsymbol{a}} \times \overrightarrow{\boldsymbol{b}} \) is a vector
perpendicular to plane containing \( \vec{a} \) and \( \vec{b} \) and \( \vec{b} \times \vec{c} \) is a vector perpendicular to plane containing \( \overrightarrow{\boldsymbol{b}} \) and \( \overrightarrow{\boldsymbol{c}} \) so \( \overrightarrow{\boldsymbol{a}} \times \overrightarrow{\boldsymbol{b}}+\overrightarrow{\boldsymbol{b}} \times \)
\( \vec{c} \) will be non-zero only if \( \vec{a}, \vec{b}, \vec{c} \) are
coplanar.
A. Statement-1 is True, Statement-2 is True; Statement-2 is a correct explanation for Statement-
B. Statement-1 is True, Statement-2 is True; Statement-2 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
The reaction at hydrogen and iodine monochloride is represented by the equation is \( \boldsymbol{H}_{2}(\boldsymbol{g})+\boldsymbol{2} \boldsymbol{I} \boldsymbol{C l}(\boldsymbol{g}) \rightarrow \boldsymbol{2} \boldsymbol{H} \boldsymbol{C l}(\boldsymbol{g})+\boldsymbol{I}_{2}(\boldsymbol{g}) \)
This reaction is first order in \( \boldsymbol{H}_{2}(\boldsymbol{g}) \) and also first - order in ICI(g). which of these proposed mechanism can be consistent with the given information about this reaction ?
Mechanism I \( : \boldsymbol{H}_{2}(\boldsymbol{g})+2 \boldsymbol{I} \boldsymbol{C l}(\boldsymbol{g}) \rightarrow \)
\( 2 H C l(g)+I_{2}(g) \)
\( \|: \boldsymbol{H}_{2}(\boldsymbol{g})+\boldsymbol{I} \boldsymbol{C l}(\boldsymbol{g}) \stackrel{s l o w}{\rightarrow} \)
Mechanism
\( \boldsymbol{H} \boldsymbol{C l}(\boldsymbol{g})+\boldsymbol{H} \boldsymbol{I}(\boldsymbol{g}) \)
\( \boldsymbol{H I}(\boldsymbol{g})+\boldsymbol{I} C l(\boldsymbol{g}) \stackrel{f a s t}{\rightarrow} \boldsymbol{H} C l(\boldsymbol{g})+\boldsymbol{I}_{2}(\boldsymbol{g}) \)
A . I only
в. ॥ only
c. Both I and II
D. Neither I nor I
Subject: Chemistry
Which of the following are isoelectronic species?
(i) \( \boldsymbol{N} \boldsymbol{H}_{\mathbf{3}} \)
(ii) \( \boldsymbol{C} \boldsymbol{H}_{3}^{+} \)
(iii) \( \boldsymbol{N} \boldsymbol{H}_{\mathbf{2}}^{-} \)
(iv) \( \boldsymbol{N} \boldsymbol{H}_{\mathbf{4}}^{+} \)
Choose the correct answer from the
codes given below:
A \( \cdot(i),(i i),(i i i) \)
B. (i),(iii), (iv)
C . \( (i),(i i),(i v) \)
D. \( (i i),(i i i) \)
E. None of these
Subject: Maths
\( A B C D \) is a quadrilateral such that \( A B=5 c m, B C=4 c m ; C D= \)
\( 7 c m, A D=6 c m \) and diagonal \( B D= \)
\( 5 c m, \) then the \( A(\square A B C D) \) is \( 4(3+ \)
\( \sqrt{6}) c m^{2} \)
A. True
B. False
Subject: Maths
The number of distinct real roots of the
quation \( \left|\begin{array}{ccc}\cos x & \sin x & \sin x \\ \sin x & \cos x & \sin x \\ \sin x & \sin x & \cos x\end{array}\right|=0 \) in
the interval \( \left[-\frac{\pi}{4}, \frac{\pi}{4}\right] \) is
\( A \)
B. 4
\( c \cdot 2 \)
\( D \)
Subject: Physics
A body of mass \( 2 k g \) is moving on a rough horizontal surface with an
acceleration of \( 5 m s^{-2} \) and when the
horizontal force is doubled, it gets an
acceleration of \( 18 m s^{-2} . \) Then the
coefficient of friction between the body and the horizontal surface is : (assume
\( \boldsymbol{g}=\mathbf{1 0 m} \boldsymbol{s}^{-2} \mathbf{)} \)
A . 0.2
B. 0.8
c. -0.4
D. 0.6
Subject: Physics
The emf induced in the circuit is :
\( \mathbf{A} \cdot 2 \pi a^{2} B_{0} \)
B . \( \pi a^{2} B_{0} \)
c. \( \frac{a^{2} B_{0}}{2} \)
D. \( \frac{\pi a^{2} B_{0}}{2} \)
Subject: Physics
A train is approaching the platform with a speed of \( 4 m s^{-1} \). Another train is
leaving the platform with the same
speed. The velocity of sound is \( 320 m s^{-1} \)
If both the trains sound their whistles
at frequency \( 230 \mathrm{Hz} \), the number of beats heard per second will be :
\( A \cdot 10 \)
B. 8
c. 7
D. 6
Subject: Maths
Write a linear equation in two variables to represent the following statement Two numbers are such that 2 times of
one is same as 3 times of the other.
A. \( 2 x=3 y, \) where \( x= \) first number and \( y=\operatorname{second} \)
number
B. \( 2 x=-3 y \), where \( x= \) first number and \( y=\operatorname{second} \) number
c. \( 2 x=7 y \), where \( x= \) first number and \( y=\operatorname{second} \) number
D. \( x=3 y \), where \( x= \) first number and \( y=\operatorname{second} \) number
Subject: Chemistry
Iron filling and water were placed in a 5
litre vessel and sealed. The tank was
heated to \( 1000^{\circ} \mathrm{C} \). Upon analysis the tank was found to contain \( 1.1 \mathrm{g} \) of hydrogen and 42.5 g of water vapour. If the reaction in the tank is represented
by \( 3 \mathrm{Fe}(\mathrm{s})+4 \boldsymbol{H}_{2} \boldsymbol{O}_{(g)} \rightleftharpoons \boldsymbol{F} \boldsymbol{e}_{3} \boldsymbol{O}_{4}(\boldsymbol{s})+ \)
\( \mathbf{4} \boldsymbol{H}_{2}(\boldsymbol{g}) \)
The value of equilibrium constant, \( \boldsymbol{K}_{c} \)
is:
A . 30
B. 0.03
\( c \cdot 3 \)
D. 0.003
Subject: Chemistry
which type of the hybridisation of each of the carbon is there in the compound?
\( \boldsymbol{C H}_{3}-\boldsymbol{C H}=\boldsymbol{C H}-\boldsymbol{C N} \)
B \( \cdot s p^{3}, s p^{2}, s p^{2}, s p^{3} \)
C \( \cdot s p^{3}, s p^{2}, s p^{3}, s p^{3} \)
D. \( s p^{3}, s p^{2}, s p, s p^{3} \)
Subject: Physics
ENERGY OF AN ORBITING SATELLITE
The change in potential energy is:
\( ^{A} \cdot \frac{G M_{E} m}{2 R_{E}} \)
в. \( \frac{G M_{E} m}{4 R_{E}} \)
c. \( \frac{G M_{E} m}{8 R_{E}} \)
D. \( \frac{G M_{E} m}{R_{E}} \)
Subject: Maths
Assertion
At the college entrance examination
each candidate is admitted or rejected
according to whether he has passed or failed the tests. Of the candidates who
are really capable, \( 80 \% \) pass the test
and of the incapable, \( 25 \% \) pass the test.
Given that \( 40 \% \) of the candidates are
really capable, then the proportion of
capable college students is about \( 68 \% \)
Reason
\( P\left(\frac{A}{B}\right)=\frac{P(A) P\left(\frac{B}{A}\right)}{P(A) P\left(\frac{B}{A}\right)+P\left(A^{\prime}\right) P\left(\frac{B}{A^{\prime}}\right)} \)
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 \( K_{a} \) value for the acid \( H A \) is \( 1.0 \times \)
\( 10^{-6} . \) What is the value of \( K \) for the
following reaction? \( \boldsymbol{A}^{+}+\boldsymbol{H}_{3} \boldsymbol{O}^{+} \rightleftharpoons \boldsymbol{H} \boldsymbol{A}+\boldsymbol{H}_{2} \boldsymbol{O} \)
A \( \cdot 1.0 \times 10^{-8} \)
В. \( 1.0 \times 10^{8} \)
C \( .1 .0 \times 10^{-3} \)
D \( .1 .0 \times 10^{6} \)