AkshitPareek2004/jee-question-analyzer-data huggingface dataset:
Subject: Maths
For any two events \( A \) and \( B \) in a sample
space
This question has multiple correct options
\( ^{\mathbf{A}} \cdot p(A / B) \geq \frac{P(A)+P(B)-1}{P(B)}, P(B) \neq 0, \) is always true
B . \( P(A \cap B)=P(A)-P(\bar{A} \cap \bar{B}) \) does not hold
C \( . P(A \cup B)=1-P(\bar{A}) P(\bar{B}), \) if \( \mathrm{A} \) and \( \mathrm{B} \) are independent
D. \( P(A \cup B)=1-P(\bar{A}) P(\bar{B}) \), if \( \mathrm{A} \) and \( \mathrm{B} \) are disjoint
Subject: Physics
The angle between the diagonals of a cube with edges of length 1 is:
\( A \cdot \sin ^{-1}(1 / \sqrt{3}) \)
B . \( \cos ^{-1}(1 / \sqrt{3}) \)
c. \( \tan ^{-1}(1 / \sqrt{3}) \)
D. \( \cot ^{-1}(1 / \sqrt{3}) \)
Subject: Maths
\( \boldsymbol{P Q}=\boldsymbol{Q} \boldsymbol{R}=\boldsymbol{P S} . \) Calculate the size of
the labelled angles.
B . (b) \( a=42^{\circ}, b=48^{\circ}, c=69^{\circ}, d=111^{\circ} \)
C . (c) \( a=45^{\circ}, b=45^{\circ}, c=67.5^{\circ}, d=112.5^{\circ} \)
D \cdot (d) \( a=50^{\circ}, b=40^{\circ}, c=65^{\circ}, d=115^{\circ} \)
Subject: Maths
A man spends \( \frac{1}{5} \) of his salary to meet pocket expenses and \( \frac{4}{5} \) of the
remainder to meet other expenses If his
monthly savings amount to Rs 1200 his monthly salary is
\( A \cdot R s 3,750 \)
B. Rs 8,500
c. \( R s 7,000 \)
D. Rs 7,500
Subject: Chemistry
A \( 5 \% \) solution of cane sugar is isotonic with \( 0.877 \% \) solution of \( X . \) Calculate
the molecular mass of \( X \), if the
molecular mass of cane sugar is 342 g/mol.
A \( .60 \mathrm{g} / \mathrm{mol} \)
B. \( 120 \mathrm{g} / \mathrm{mol} \)
c. 78 g/mol
D. 30 g/mol
Subject: Maths
Factorise the following expressions:
\( \boldsymbol{p}^{2}+\boldsymbol{6} \boldsymbol{p}+\boldsymbol{8} \)
A \( \cdot(p-2)(p+4) \)
в. \( (p+2)(p+4) \)
c. \( (p+2)(p-4) \)
D. \( (p-2)(p-4) \)
Subject: Physics
If the energy and momentum of a photon are \( \mathrm{E} \) and \( \mathrm{p} \) respectively, then the velocity of photon will be This question has multiple correct options
A. \( \frac{E}{p} \)
\( ^{\text {В }}\left(\frac{E}{p}\right)^{2} \)
\( c \cdot E p \)
D. \( 3 \times 10^{8} \mathrm{m} / \mathrm{s} \)
Subject: Maths
Find the order of the differential
equation:
\( \log \frac{\boldsymbol{d}^{2} \boldsymbol{y}}{\boldsymbol{d} \boldsymbol{x}^{2}}=\left(\frac{\boldsymbol{d} \boldsymbol{y}}{\boldsymbol{d} \boldsymbol{x}}\right)^{3}+\boldsymbol{x} \)
Subject: Physics
A narrow tube is bent in the form of a
circle of radius \( R, \) as shown in the
figure. Two small holes \( S \) and \( D \) are made in the tube at the positions right
angle to each other. A source placed at
S generated a wave of intensity \( l_{0} \) which is equally divided into two parts : One part travels along the longer path, while the other travels along the shorter path. Both the part waves meet at the point D where a detector is placed. If a maxima is formed at the detector then, the
magnitude of wavelength \( \lambda \) of the wave
produced is given by :
This question has multiple correct options
A . \( \pi R \)
в. \( \frac{\pi R}{2} \)
c. \( \frac{\pi R}{4} \)
D. \( \frac{2 \pi R}{3} \)
Subject: Biology
The figure depicting neuron is given The correct identification of labels I, II
III and IV respectively is
A . I- Dendrite, , I- Cell body, III-Axon, IV- Synaps
B. I- Dendrites, Il- Nucleus, II- Axon, IV- Axon endings
C. I- Axon, II- Nucleus III- Dendrites, IV- Axon endings
D. I- Dendron, II- Cell body, II- Axon, IV -Dendrites
Subject: Maths
If \( 6 t h \) term of a G.P is \( -1 / 32, \) and 9 th
term is \( 1 / 256, \) then the 11 th term is
A . 1024
B. 1/1024
c. \( 1 / 256 \)
D. \( 1 / 512 \)
Subject: Maths
Let \( * \) be an operation such that \( \boldsymbol{a} * \boldsymbol{b}= \)
LCM of \( a \) and \( b \) defined on the \( \operatorname{set} A= \)
\( \{1,2,3,4,5\} . \) Is \( * \) a binary operation?
Justify your answer.
Subject: Chemistry
In the following reaction \( \boldsymbol{C H}_{3} \boldsymbol{C H O}+\boldsymbol{N H}_{2} \cdot \boldsymbol{N} \boldsymbol{H}_{2} \rightarrow \boldsymbol{A} \stackrel{\boldsymbol{B}}{\longrightarrow} \)
\( \boldsymbol{C H}_{3} \boldsymbol{C H}_{3}+\boldsymbol{N}_{2} \)
Identify \( A \) and \( B \)
A. \( C H_{3} C H=N N H_{2} \) and \( C_{2} H_{5} O N a \)
B. \( C H_{3} C H_{2}-N H_{2} \) and \( C_{2} H_{5} O N a \)
c. \( C H_{3}-N H-N H-C H_{3} \) and \( C_{2} H_{5} O H \)
D. \( C H_{3} C H_{2} N H_{2} \) and \( C_{2} H_{5} O H \)
Subject: Physics
The Van der Waal's equation of state for some gases can be expressed as:
\( \left(\boldsymbol{P}+\frac{\boldsymbol{a}}{\boldsymbol{V}^{2}}\right)(\boldsymbol{V}-\boldsymbol{b})=\boldsymbol{R} \boldsymbol{T} \)
where \( P \) is the pressure, \( V \) is the molar volume, and \( T \) is the absolute
temperature of the given sample of gas and \( a, b \) and \( R \) are constants.

In the above problem, the dimensional formula for \( \mathrm{RT} \) is same as that of
A. Energy
B. Force
c. specific heat
D. Latent heat
Subject: Chemistry
\( E \) value for the cell reaction
\( \boldsymbol{C u}\left|\boldsymbol{C u}^{2+}(\mathbf{0 . 0 0 1 M}) \| \boldsymbol{C u}^{2+}(\mathbf{0 . 1 m})\right| \boldsymbol{C u} \)
\( ^{\mathrm{A}} \cdot \frac{R T}{F} i n(0.01) \)
в. \( -\frac{R T}{F} \) in (0.1)
c. \( +\frac{R T}{F} i n(0.01) \)
D. \( \frac{R T}{F} \) in (0.1)
Subject: Physics
The maximum vertical distance
through which a fully dressed astronaut canjump on the earth is \( 0.5 \mathrm{m} \). If mean density of the moon is two thirds that of the earth and radius is one quarter that of the earth, the maximum vertical
distance through which he can jump on the moon and the ratio of time of
duration of the jump on the moon to
that on the earth are.
A. \( 3 \mathrm{m}, 6: \)
в. 6 m, 3:
\( c \cdot 3 m, 1: 6 \)
D. \( 6 \mathrm{m}, 1: 6 \)
Subject: Physics
A train has a speed of \( 60 \mathrm{km} / \mathrm{h} \) for the first one hour and \( 40 \mathrm{km} / \mathrm{h} \) for the next half hour.lts average speed in \( k m / h \) is
A . 50
B. 53.33
c. 48
D. 70
Subject: Chemistry
The bond between carbon atom (1) and
carbon atom (2) in compound \( \boldsymbol{N} \equiv \)
\( C-C H=C H_{2} \) involves respectively
1
the hybrid orbitals:
A \( \cdot s p^{2} \) and \( s p^{2} \)
B. \( s p^{3} \) and \( s p \)
c. \( s p \) and \( s p^{2} \)
D. \( s p \) and \( s p \)
Subject: Maths
The term independent of \( x \) in the expansion of \( \left(1+x+2 x^{3}\right)\left(\frac{3 x^{2}}{2}-\right. \)
\( \left.\frac{1}{3 x}\right)^{9} \) is
A \( \cdot \frac{13}{54} \)
в. \( \frac{15}{54} \)
c. \( \frac{17}{54} \)
D. \( \frac{19}{54} \)
Subject: Chemistry
Assertion
\( D-2- \) Deoxyglucose reacts with 3
\( \operatorname{mol} P h N H N H_{2} \) and forms an
osazone.
Reason
\( D-2- \) Deoxyglucose has no \( (C- \)
\( O H) \) group \( \alpha \) - to the \( (C=O) \) group
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
\( \boldsymbol{A}+\mathbf{2} \boldsymbol{B} \rightleftharpoons \mathbf{2} \boldsymbol{C}+\boldsymbol{D} \) initial
concentration of \( B \) was 1.5 times that
of \( A, \) but the equilibrium concentration of \( A \) and \( B \) are found to be equal. The equilibrium constant for the reaction is:
A . 4
B. 8
c. 12
D. 16
Subject: Maths
If \( f(x) \) is differentiable in \( [a, b] \) such that \( f(a)=2, f(b)=6, \) then there
exists at least one \( c, a<c<b, \) such
\( \operatorname{that}\left(b^{3}-a^{3}\right) f^{\prime}(c)= \)
A \( \cdot c^{2} \)
B . \( 2 c^{2} \)
\( c .-3 c^{2} \)
D. \( 12 c^{2} \)
Subject: Maths
Solve for differntial equation:
\( \left(x^{3}-x\right) \frac{d y}{d x}-\left(3 x^{2}-1\right) y=x^{5}- \)
\( 2 x^{3}+x \)
A \( \cdot y \frac{1}{x\left(x^{2}+1\right)}=\log x+c \)
в. \( y \cdot \frac{1}{x\left(x^{2}-1\right)}=-\log x+c \)
c. \( y \frac{1}{x\left(x^{2}-1\right)}=\log x+c \)
D. None of these.
Subject: Physics
The cube as shown in Fig. has sides of
length \( L=10.0 \mathrm{cm} . \) The electric field is
uniform, has a magnitude \( \boldsymbol{E}=\mathbf{4 . 0 0} \times \)
\( 10^{3} N C^{-1}, \) and is parallel to the \( x y- \)
plane at an angle of \( 37^{\circ} \) measured from
the \( +x-a x i s \) towards the \( +y-a x i s \)
The total net electric flux through all faces of the cube is
\( \mathbf{A} \cdot 8 N m^{2} C^{-1} \)
B. \( -8 N m^{2} C^{-1} \)
\( \mathbf{c} \cdot 24 N m^{2} C^{-1} \)
D. zero
Subject: Maths
The solution of the two simultaneous
equations \( 2 x+y=8 \) and \( 3 y=4+4 x \)
is
A. \( x=4, y=1 \)
в. \( x=1, y=4 \)
c. \( x=2, y=4 \)
D. \( x=3, y=-4 \)
Subject: Chemistry
The following equilibrium are given below:
\( \boldsymbol{A}_{2}+\mathbf{3} \boldsymbol{B}_{2} \rightleftharpoons \mathbf{2} \boldsymbol{A} \boldsymbol{B}_{3} \ldots \boldsymbol{K}_{\mathbf{1}} \)
\( \boldsymbol{A}_{2}+\boldsymbol{C}_{2} \rightleftharpoons \mathbf{2} \boldsymbol{A} \boldsymbol{C} \ldots \boldsymbol{K}_{2} \)
\( \boldsymbol{B}_{2}+\frac{1}{2} \boldsymbol{C}_{2} \rightleftharpoons \boldsymbol{B}_{2} \boldsymbol{C} \ldots \boldsymbol{K}_{3} \)
The equilibrium constant of the reaction
\( 2 A B_{3}+\frac{5}{2} C_{2} \rightleftharpoons 2 A C+3 B_{2} C . \) in terms
of \( K_{1}, K_{2} \) and \( K_{3} \) is:
\( ^{\text {A } \cdot \frac{K_{1} K_{2}}{K_{3}}} \)
в. \( \frac{K_{1} K_{3}^{2}}{K_{2}} \)
c. \( \frac{K_{2} K_{3}^{3}}{K_{1}} \)
D. \( K_{1} K_{2} K_{3} \)
Subject: Physics
The output characteristic of an \( n-p-n \) transistor represent:
\( \left[I_{C}=\text { Collector current, } V_{C E}= \) potential \right. difference between collector and
emitter, \( \boldsymbol{I}_{B}= \) Base current, \( \boldsymbol{V}_{\boldsymbol{B} \boldsymbol{B}}= \)
voltage given to base; \( V_{B E}= \) the potential difference between base and emitter \( ] \)
A. changes in \( I_{C} \) as \( I_{B} \) and \( V_{B B} \) are changed
B. changes in \( I_{C} \) with changes in \( V_{C E}\left(I_{B}=\text { constant }\right) \)
c. changes in \( I_{B} \) with changes in \( V_{C E} \)
D. changes in \( I_{C} \) as \( V_{B E} \) is changed
Subject: Physics
A lift moves upward with an acceleration of \( 1.2 m s^{-2} . \) Two seconds
after the lift starts, a nail falls from the ceiling of the lift \( 3 m \) above the floor of the lift. Distance of its fall with
reference to the shaft of the lift is
A . \( 0.75 \mathrm{m} \)
B. \( 0.5 \mathrm{m} \)
\( c .1 m \)
D. \( 1.5 m \)
Subject: Maths
Let \( \boldsymbol{f}(\boldsymbol{x})=(\boldsymbol{x}-\mathbf{1})^{\boldsymbol{m}}(\boldsymbol{2}-\boldsymbol{x})^{n} ; \boldsymbol{m}, \boldsymbol{n} \boldsymbol{\epsilon} \boldsymbol{N} \)
and \( \boldsymbol{m}, \boldsymbol{n}>2 \)
Subject: Physics
How much pressure will a girl of \( 50 \mathrm{kg} \)
wearing heels with an area of cross
section \( 1 c m^{2} \) exert on the ground?
A \( .150 \times 10^{4} P a \)
В. \( 250 \times 10^{4} P a \)
\( \mathbf{c} .350 \times 10^{4} P a \)
D. \( 450 \times 10^{4} P a \)
Subject: Chemistry
If the boiling point of ethanol (molecular
weight -46 ) is \( 78^{\circ} C, \) what is the boiling point of diethyl ether (molecular weight=74)?
\( \mathbf{A} \cdot 100^{\circ} C \)
B . \( 70^{\circ} \mathrm{C} \)
\( \mathbf{c} \cdot 86^{\circ} C \)
D. \( 34^{\circ} C \)
Subject: Physics
An electron in a circular orbit of radius
\( 0.5 A^{o} \) makes \( 7 \times 10^{15} \) revolutions in
each second. This electron orbit is
equivalent to a magnetic shell of moment \( (\text { in } A m) \)
A. \( 88 \times 10^{-25} \)
B . \( 8.89 \times 10^{-25} \)
c. \( 44 \times 10^{-25} \)
D. 4.4 \( \times 10^{-25} \)
Subject: Maths
It is not possible to construct a triangle when its sides are:
A. \( 8.3 \mathrm{cm}, 3.4 \mathrm{cm}, 6.1 \mathrm{cm} \)
B. \( 5.4 \mathrm{cm}, 2.3 \mathrm{cm}, 3.1 \mathrm{cm} \)
c. \( 6 \mathrm{cm}, 7 \mathrm{cm}, 10 \mathrm{cm} \)
D. 3 cm, 5 cm, 5 cm
Subject: Physics
From the following equations, pick out the possible nuclear reactions.
This question has multiple correct options
\( \begin{array}{lllllll}\mathbf{C} \cdot_{7} N^{14} & + & _{1} H^{1} & \rightarrow & 8 & O^{15} & + & 7.3 & M e V\end{array} \)
D・ \( _{92} U^{235}+_{0} n^{1} \rightarrow_{54} X^{140}+_{38} S i^{94}+ \)
\( 20 n^{1}+\gamma+200 \mathrm{MeV} \)
Subject: Chemistry
Identify the molecule with the highest boiling point.
A \( \cdot C H_{3} C H_{2} C H_{2} C H O \)
в. \( C H_{3} \) СОСН\( _{3} \)
c. \( C H_{3} C H_{2} C H_{2} C H_{2} O H \)
D. \( C H_{3} C H_{2} C H_{2} C H_{2} C H_{3} \)
Subject: Physics
A bomb of \( 12 \mathrm{kg} \) explodes into two pieces of masses 4 kg and 8 kg. The velocity of \( 8 \mathrm{kg} \) mass is \( 6 \mathrm{m} \) per second
.The kinetic energy of other mass is?
A. 48 joules
B. 32 joules
c. 24 joules
D. 288 joule
Subject: Maths
\( \cos A=a \cos B, \sin A=b \sin B \Rightarrow \)
\( \left(b^{2}-a^{2}\right) \sin ^{2} B= \)
A \( \cdot 1+a^{2} \)
B \( \cdot 2+a^{2} \)
c. \( 1-a^{2} \)
D. \( 2-a^{2} \)
Subject: Physics
Two circular rings of identical radii
and resistance of \( 36 \Omega \) each are placed
in such a way that they cross
each others center \( C_{1} \) and \( C_{2} \) as shown
n Fig. Conducting joints are made at intersection points \( A \) and \( B \) of the rings.
An ideal cell of emf \( 20 V \) is connected
across \( A \) and \( B \). If the power delivered by
the cell is \( X \times 10^{2} W . \) Find out the
value of \( X ? \)
Subject: Chemistry
Trimethylamine oxide and trimethyl phosphine oxide can be represented as
\( \left(\boldsymbol{C H}_{3}\right)_{3}^{+} \boldsymbol{N}-\boldsymbol{O}^{-} \quad\left(\boldsymbol{C H}_{3}\right)_{3} \dot{\boldsymbol{P}}-\boldsymbol{O}^{-} \)
(1)
(11)
Select the correct structure
\( \mathbf{A} \cdot\left(C H_{3}\right)_{3} N=O \)
B \( \cdot\left(C H_{3}\right)_{3} P=O \)
c. Both (A) and (B)
D. None of these
Subject: Maths
Solution of differential equation \( \frac{d y}{d x}+ \) \( \frac{\boldsymbol{y}}{\mathbf{1}+\boldsymbol{x}^{2}}=\frac{e^{t a n^{-1} \boldsymbol{x}}}{1+\boldsymbol{x}^{2}} \) is
A \( \quad y=\frac{e^{\tan ^{-1} x}}{2}+c \)
B. \( y=\frac{e^{2 t a n^{-1} x}}{2}+c \)
c. \( y=\frac{e^{\tan ^{-1} x}}{2}+c e^{-\tan ^{-1} x} \)
D. \( y=e^{\tan ^{-1} x}+c \)
Subject: Physics
A plastic circular disc of radius \( R \) is
placed on a thin oil film, spread over a flat horizontal surface. The torque
required to spin the disc about its central vertical axis with a constant
angular velocity is proportional to
\( \mathbf{A} \cdot R^{2} \)
B . \( R^{3} \)
\( c \cdot R^{4} \)
D. \( R^{6} \)
Subject: Physics
A uniform bar of mass \( M \) and length \( L \)
collides with a horizontal surface.
Before collision, velocity of centre
of mass was \( v_{0} \) and no angular velocity. Just after collision, velocity of centre of
mass of bar becomes \( \boldsymbol{v} \) in upward
direction as shown. Angular velocity \( \omega \)
of the bar just after impact is:
\( A \)
в.
c. \( \frac{\left(v_{0}+v\right) \cos \theta}{L} \)
\( D \)
Subject: Physics
A spherical ball of iron of radius \( 2 \mathrm{mm} \) is falling through a column of glycerine. If densities of glycerine and iron are respectively \( 1.3 \times 10^{3} \mathrm{kg} / \mathrm{m}^{3} \) and \( 8 \times \)
\( 10^{3} \mathrm{kg} / \mathrm{m}^{3} . \) \eta for glycerine \( = \)
\( 0.83 \mathrm{Nm}^{-2} \) sec, then the terminal
velocity is:
A. \( 0.7 \mathrm{m} / \mathrm{s} \)
B. \( 0.07 \mathrm{m} / \mathrm{s} \)
c. \( 0.007 \mathrm{m} / \mathrm{s} \)
D. \( 0.0007 \mathrm{m} / \mathrm{s} \)
Subject: Physics
In the circuit shown in the figure, there are two parallel plate capacitors each of
the capacitance \( C \) The switch \( S_{1} \) is
pressed first to fully charge the
capacitor \( C_{1} \) and then released. The
switch \( S_{2} \) is then pressed to charge the
capacitor \( C_{1} \) 2. After some time, \( S_{2} \) is
released and then \( S_{3} \) is pressed. After
some time,
A. the charge on the upper plate of \( C_{1} \) is \( 2 C V_{o} \)
B. The charges on the upper plate of \( C_{1} \) is \( C V_{o} \)
c. The charge on the upper plate of \( C_{2} \) is 0
D. The charge on the upper plate of \( C_{2} \) is \( -C V_{o} \)
Subject: Physics
A charge ' \( q \) ' is placed exactly mid way between two charges 'Q' and ' \( Q \) ' separated by a distance \( 2 r \) in air. The
force on the charge ' \( q \) ' is :
A. \( \frac{2 Q}{4 \pi \epsilon_{0} r^{2}} \)
в. \( \frac{Q}{4 \pi \epsilon_{0} r^{2}} \)
c. \( Z e r o \)
D. \( \frac{5 Q}{4 \pi \epsilon_{0} r^{2}} \)
Subject: Physics
Two wires of equal length and cross-
sectional area are suspended as shown
in figure. Their Young's modulii are \( Y_{1} \)
and \( Y_{2} \) respectively. The equivalent
Young's modulii will be:
A \( \cdot Y_{1}+Y_{2} \)
B.
c. \( \frac{Y_{1}+Y_{2}}{2} \)
D. \( \sqrt{Y_{1} Y_{2}} \)
Subject: Physics
Rank the arrangements of masses given in the table below according the
force between masses, greatest first. The first column in the table tells the
mass of one of the objects in each arrangements, the second column gives the mass of the second object, and the third column gives the distance between the centers of the objects.
\( \boldsymbol{m}_{1} \) , an a \( m_{2} \)
Arrangement 1 M м
М 2M 1 Arrangement 2
зм 1 Arrangement 3 1 М
A .1,2,3
B. 1,2 and 3 tie
c. 1,3,2
D. 3, 2,1
E. 2 and 3 tie,
Subject: Chemistry
The number and type of bonds between two carbon atoms in \( C a C_{2} \) are:
A. one sigma ( \( \sigma \) ) and one pi ( \( \pi \) )-bond
B. one sigma ( \( \sigma \) ) and two pi ( \( \pi \) )-bonds
c. one sigma ( \( \sigma \) ) and one and a half pi ( \( \pi \) )-bonds
D. one sigma ( \( \sigma \) )-bond
Subject: Chemistry
Metals are usually hard. Hence metals are strong and can withstand heavy loads over them. Due to this property,
they are difficult to cut and can be used
in the construction of heavy machines, building etc. On the other hand, non-metals are usually brittle. On hammering them they break into small pieces converting themselves into a fine powder.
In the following elements identify the elements that is relatively brittle?
A. Sulphur
B. Diamond
c. Iron
D. Magnesium
Subject: Biology
The organisms shown in figure can be
grouped into two separate groups
based on their mode of nutrition
Which of the following options is correct
regarding this?
A. \( P \) is an autotroph whereas \( Q \), \( R \) and \( S \) are heterotrophs.
B. P show intracellular digestion while \( Q \), R and S show extracellular digestion.
C. \( P \) and \( Q \) are autotrophs while \( R \) and \( S \) are heterotrophs.
D. P shows intracellular digestion while \( Q \), R and S show extracellular digestion.
Subject: Chemistry
Steam undergoes decomposition at high temperature as per the reaction
\( \boldsymbol{H}_{2} \boldsymbol{O}(\boldsymbol{g}) \rightleftharpoons \boldsymbol{H}_{2}(\boldsymbol{g})+\frac{1}{2} \boldsymbol{O}_{2}(\boldsymbol{g}), \boldsymbol{\Delta} \boldsymbol{H}^{\circ}= \)
\( 200 k J m o l^{-1} \Delta S^{\circ}=40 J m o l^{-1} \)
The temperature at which equilibrium constant is unit is :
A. 3000 Kelvin
B. 5000 Kelvin
c. 5333 Kelvin
D. 5 Kelvin
Subject: Chemistry
The rate law for the dimerisation of
\( N O_{2} \) is \( \frac{-d\left[N O_{2}\right]}{d t}=k\left[N O_{2}\right]^{2} \)
Which of the following changes will change the value of the specific rate constant \( (\mathrm{k}) ? \)
A. Doubling the total pressure on the system
B. Doubling the temperature
c. Both A and B
D. None of these
Subject: Physics
Q Type your question
now-famous oil-drop experiment. In that experiment, tiny oil drops were sprayed into a uniform electric field between a
horizontal pair of oppositely charged plates.The drops were observed with a magnifying eyepiece, and the electric field was adjusted so that the upward force on some negatively charged oil drops was just sufficient to balance the
downward force of gravity. That is, when suspended, upward force qE just equaled mg. Millikan accurately measured the charges on many oil drops and found the values to be whole number multiples of \( 1.6 \times 10^{-19} C \) the
charge of the electron. For this, he won the Nobel prize. If a drop of mass \( 1.08 \times \)
\( 10^{-14} k g \) remains stationary in an
electric field of \( 1.68 \times 10^{5} N C^{-1} \), then
the charge of this drop is :
A. \( 6.40 \times 10^{-19} \mathrm{C} \)
B . \( 3.2 \times 10^{-19} C \)
c. \( 1.6 \times 10^{-19} C \)
D. \( 4.8 \times 10^{-19} \mathrm{C} \)
Subject: Maths
Let \( A \) be the \( 2 \times 2 \) matrices given by
\( \boldsymbol{A}=\left[\boldsymbol{a}_{i j}\right] \) where \( \boldsymbol{a}_{i j}=\{\mathbf{0}, \mathbf{1}, \mathbf{2}, \mathbf{3}, \mathbf{4}\} \)
such that \( \boldsymbol{a}_{11}+\boldsymbol{a}_{12}+\boldsymbol{a}_{21}+\boldsymbol{a}_{22}=\boldsymbol{4} \)
Find the number of matrices \( A \) such
that the trace of \( A \) is equal to 4
\( A \cdot 3 \)
B. 4
\( c \cdot 5 \)
D. 6
Subject: Maths
Find \( x, y \) satisfying the matrix
equations \( \left[\begin{array}{ccc}\boldsymbol{x}-\boldsymbol{y} & \boldsymbol{2} & -\boldsymbol{2} \\ \boldsymbol{4} & \boldsymbol{x} & \boldsymbol{6}\end{array}\right]+\left[\begin{array}{ccc}\boldsymbol{3} & -\boldsymbol{2} & \boldsymbol{2} \\ \boldsymbol{1} & \boldsymbol{0} & \boldsymbol{-} \boldsymbol{1}\end{array}\right]= \)
\( \left[\begin{array}{ccc}\mathbf{6} & \mathbf{0} & \mathbf{0} \\ \mathbf{5} & \mathbf{2} \boldsymbol{x}+\boldsymbol{y} & \mathbf{5}\end{array}\right] \)
Subject: Chemistry
The hybrid state of \( S \) in \( S O_{3} \) is similar
to that of:
A. \( C \) in \( C_{2} H_{2} \)
в. \( C \) in \( C_{2} H_{4} \)
\( \mathbf{c} \cdot C \) in \( C H_{4} \)
D. \( C \) in \( C O_{2} \)
Subject: Maths
Draw the graph for the linear equation
\( \boldsymbol{x}=-2 \boldsymbol{y} \)
A. passes through (0,0) and \( m=2 \)
B. passes through (0,0) and \( m=-2 \)
c. passes through (1,2) and \( m=-\frac{1}{2} \)
D. passes through (0,0) and \( m=-\frac{1}{2} \)
Subject: Biology
toppr loGıl
Q Type your question_
11
cycle at stage \( --A_{-}- \)
(ii) Hydrogen from reduced hydrogen
acceptor is used at stage \( --B_{-} \)
(iii) Energy from ATP is used to drive
stage \( --\mathrm{C}_{-} \)
(iv) The substance formed at position \( \mathbf{Y} \) Y
is \( -n \)
(v) If one molecule of substance Y is
released per cycle, the cycle must turn
\( \mathrm{E}_{--} \) times for one molecule of
sucrose \( \left(C_{12} H_{22} O_{11}\right) \) to be built up at
position Z.
\( \mathbf{A} \cdot A-4 ; B-2 ; C-2 \) and \( 3 ; D-3 \) carbon sugar; \( E-4 \)
B . \( A-3 ; B-3 ; C-1 \) and \( 2 ; D- \) pyruvicacid; \( E-2 \)
\( \mathbf{c} \cdot A-2 ; B-4 ; C-3 \) and \( 4 ; D-g l u \operatorname{cose}-1- \)
phosphate, \( E-8 \)
D. \( A-1 ; B-1 ; C-2 \) and \( 4, D- \) citricacid \( E-12 \)
Subject: Maths
Solve: \( \frac{34}{3 x+4 y}+\frac{15}{3 x-2 y}=5 \) and
\( \frac{25}{3 x-2 y}-\frac{8.50}{3 x+4 y}=4.5 \)
A. \( x=7 ; y=2 \)
в. \( x=5 ; y=2 \)
c. \( x=1 ; y=2 \)
D. \( x=3 ; y=2 \)
Subject: Biology
Which one is de novo mutation?
A. \( \pi \times \pi \rightarrow \pi \)
B. \( t t \times t t \rightarrow T t \)
\( \mathbf{c} \cdot \mathbf{T} \mathbf{t} \times \mathbf{t t} \rightarrow \mathbf{T} \)
D. \( \mathrm{Tt} \times \mathrm{Tt} \rightarrow \pi \), Tt, t \( \mathrm{t} \)
Subject: Chemistry
Approximate \( K_{c} \) for the reaction at
\( 25^{\circ} C \) will be:
\( \boldsymbol{Z} \boldsymbol{n}(\boldsymbol{s})+\boldsymbol{C u}^{2+}(\boldsymbol{a q})=\boldsymbol{Z} \boldsymbol{n}^{3+}(\boldsymbol{a q})+ \)
\( \boldsymbol{C u}(\boldsymbol{s}) \)
\( \boldsymbol{E}_{Z n^{2+} / Z n}^{o}=-\mathbf{0 . 7 6} \boldsymbol{V} \boldsymbol{E}_{C u / C u^{2+}}^{o}= \)
\( -\mathbf{0 . 3 4} V \)
\( \mathbf{A} \cdot 10^{11} \)
B. \( 10^{3} \)
\( \mathbf{c} \cdot 10^{18} \)
D. \( 10^{14} \)
Subject: Physics
Mark the following statements as true
(T) or false (F):
(a) Pole Star is a member of the solar
system.
(b) Mercury is the smallest planet of the solar system.
(1)
(c) Uranus if the farthest planet in the solar system.
()
(d) INSAT is an artificial satellite.
(1)
(e) There are nine planets in the solar
system.
()
(f) Constellation Orion can be seen only with a telescope.
Subject: Chemistry
The number of \( \sigma \) and \( \pi \) bond in \( X e O_{3} \)
molecule are:
\( \mathbf{A} \cdot 1 \sigma, 2 \pi \)
в. \( 3 \sigma, 3 \pi \)
\( \mathbf{c} \cdot 3 \sigma, 0 \pi \)
D. \( 2 \sigma, 1 \pi \)