AkshitPareek2004/jee-question-analyzer-data huggingface dataset:
Subject: Chemistry
In the following graphical
representation for the reaction \( \boldsymbol{A} \rightarrow \boldsymbol{B} \)
there are two types of regions:
A. I and II both represent kinetic region at different interva
B. I and II both represent equilibrium regions at different time interval
c. I represents kinetic while I I represents equilibrium region
D. I represents equilibrium while II represents kinetic region
Subject: Chemistry
A volume of \( 6 L H_{2} O \) is placed in a
closed evacuated room of volume \( 827 L \)
at the temperature \( 300 \mathrm{K} \). The density of liquid water at \( 300 \mathrm{K} \) is \( 1.0 \mathrm{g} / \mathrm{ml} \). The
vapour pressure of water at \( 300 \mathrm{K} \) is
\( 22.8 \mathrm{mm} \) Hg. Neglect the change in volume of liquid water by vaporization.
Subject: Chemistry
Write the chemical equations to
represent the following reactions. The disproportionation of \( \mathrm{SnO} \) to \( \mathrm{Sn} \) and
\( \operatorname{Sn} O_{2} \) is \( 2 S n O \rightarrow S n+S n O_{2} \)
If true enter 1 , else enter 0
Subject: Chemistry
One mole of diatomic ideal gas
undergoes a cyclic process \( A B C \) as shown in figure. The process BC is adiabatic. The temperatures at \( A, B \) and
\( \mathrm{C} \) are \( 400 K, 800 K \) and \( 600 K \)
respectively. Choose the correct
statement:
A. The change in internal energy in the process AB is \( -350 R \)
B. The change in internal energy in the process BC is \( -500 R \)
c. The change in internal energy in whole cyclin process is \( 250 R \)
D. The change in internal energy in the process CA is \( 700 R \)
Subject: Physics
The activity of a radioactive element decreases to one-third of the origina
activity \( I_{0} \) in a period of nine years. After a further lapse of nine years, its activity will be
A \( \cdot I_{0} \)
B . \( (2 / 3) I_{0} \)
C \( \cdot\left(I_{0} / 9\right) \)
D・ \( \left(I_{0} / 6\right) \)
Subject: Physics
An insulating rod of length \( l \) carries a charge \( q \) distributed uniformly on it. The rod is pivoted at its mid-point and is rotated at a frequency \( f \) about a fixed axis perpendicular to the rod and passing through the pivot. The magnetic moment of the rod system is
A \( \cdot \frac{1}{12} \pi q f l^{2} \)
В . \( \pi q f l^{2} \)
c. \( \frac{1}{6} \pi q f l^{2} \)
D. \( \frac{1}{3} \pi q f l^{2} \)
Subject: Physics
A uniform rod of mass \( M \) and length \( L \)
is pivoted at one end such that it can
rotate in a vertical plane. There is negligible friction at the pivot. The free end of the rod is held vertically above the pivot and then released. The angular
acceleration of the rod when it makes
an angle \( \theta \) with the vertical is
\( \mathbf{A} \cdot g \sin \theta \)
B.
\( c \)
D. \( 6 q L \sin \theta \)
Subject: Chemistry
If aq. NaCl is electrolysed using graphite as anode and Hg as cathode than products are:
A. \( C l_{2} \) gas at anode and Na at cathode
B. \( C l_{2} \) gas at anode and \( H_{2} \) gas at cathode
c. \( O_{2} \) gas at anode and \( H_{2} \) gas at cathode
D. \( C l_{2} \) gas at anode and \( O_{2} \) gas at cathode
Subject: Chemistry
Consider the following reversible chemical reactions:
\[
\begin{array}{l}
\boldsymbol{A}_{2}(\boldsymbol{g})+\boldsymbol{B} \boldsymbol{r}_{2}(\boldsymbol{g}) \rightleftharpoons \boldsymbol{2} \boldsymbol{A} \boldsymbol{B}(\boldsymbol{g}) \ldots(1) \boldsymbol{K}_{1} \\
\boldsymbol{6} \boldsymbol{A} \boldsymbol{B}(\boldsymbol{g}) \rightleftharpoons \boldsymbol{3} \boldsymbol{A}_{2}(\boldsymbol{g})+\boldsymbol{3} \boldsymbol{B}_{2} \ldots(\boldsymbol{2}) \boldsymbol{K}_{2}
\end{array}
\]
The relation between \( K_{1} \) and \( K_{2} \) is:
A \( \cdot K_{2}=K_{1}^{3} \)
В. \( K_{2}=K_{1}^{-3} \)
c. \( K_{1} K_{2}=3 \)
\( D \)
\[
K_{1} K_{2}=\frac{1}{3}
\]
Subject: Physics
A plane sound wave travelling with velocity' \( v^{\prime} \) in a medium A reaches a
point on the interface of medium A and medium B. If velocity of sound in medium B is \( 2 v \), the angle of incidence for total internal reflection of the wave
will be greater than \( \left(\sin 30^{\circ}=\right. \)
\( \left.0.5 \text { and } \sin 90^{\circ}=1\right) \)
A \( \cdot 15^{\circ} \)
B. \( 30^{\circ} \)
\( \mathbf{c} \cdot 45^{\circ} \)
D. \( 90^{\circ} \)
Subject: Maths
The converse of \( \boldsymbol{p} \Rightarrow \boldsymbol{q}, \) is
\( \mathbf{A} \cdot p \Rightarrow q \)
в. \( q \Rightarrow p \)
c. \( \sim p \Rightarrow \sim q \)
D. \( q \Rightarrow \sim p \)
Subject: Maths
If \( x, y \) and \( z \) are three unit vectors in
three-dimensional space, then the minimum value of \( |\hat{\boldsymbol{x}}+\hat{\boldsymbol{y}}|^{2}+\mid \hat{\boldsymbol{y}}+ \)
\( \left.\hat{z}\right|^{2}+|\hat{z}+\hat{x}|^{2} \) is :
A \( \cdot \frac{3}{2} \)
B. 3
c. \( 3 \sqrt{3} \)
D. 6
Subject: Maths
For two vectors \( \overrightarrow{\boldsymbol{A}} \) and \( \overrightarrow{\boldsymbol{B}}, \overrightarrow{\boldsymbol{A}}+\overrightarrow{\boldsymbol{B}}=\overrightarrow{\boldsymbol{C}} \)
and \( |\vec{A}|+|\vec{B}|=|\vec{C}| . \) The angle between
two vectors is:
A .
в. \( \pi / 3 \)
c. \( \pi / 2 \)
D.
Subject: Chemistry
The \( x \% \) dissociation of \( H_{2} S \) if 1 mole of
\( H_{2} S \) is introduced into a 1.10 litre vessel
at \( 100 K ? K_{c} \) for the reaction:
\( 2 H_{2} S(g) \rightleftharpoons 2 H_{2}(g)+S_{2}(g) \) is \( 10^{-6} \)
Then value of \( 10 x \) is:
Subject: Maths
Consider the sequence
\( 1,2,2,4,4,4,4,8,8,8,8,8,8,8,8, \dots \) and
so on. Then 1025 th terms will be
A \( \cdot 2^{9} \)
B . \( 2^{11} \)
\( c \cdot 2^{10} \)
D. \( 2^{12} \)
Subject: Maths
If \( \left(1+x^{2}\right)^{2}(1+x)^{n}=C_{0}+C_{1} x+ \)
\( C_{2} x^{2}+\cdots, \) and if \( C_{0}, C_{1}, C_{2} \) are in A.P.
find \( n \)
This question has multiple correct options
A .2
B. 3
\( c \cdot 4 \)
D. 5
Subject: Maths
A particle moving on a curve has the
position given by \( \boldsymbol{x}=\boldsymbol{f}^{\prime}(\boldsymbol{t}) \sin \boldsymbol{t}+ \)
\( f^{\prime \prime}(t) \cos t, y=f^{\prime}(t) \cos t-f^{\prime \prime}(t) \sin t \) at
time \( t \) where \( f \) is a thrice-differentiable function.Then the velocity of the particle
at time \( t \) is
\( \mathbf{A} \cdot f^{\prime \prime \prime}(t) \)
B . \( f^{\prime}(t)+f^{\prime \prime \prime}(t) \)
c. \( f^{\prime}(t)+f^{\prime \prime}(t) \)
D. \( f^{\prime}(t)-f^{\prime \prime \prime}(t) \)
Subject: Chemistry
Select the correct order of magnetic
moment (in B.M.) from the following
options:
\( \mathbf{A} \cdot\left[M n C l_{4}\right]^{2-}>\left[C o C l_{4}\right]^{2-}>\left[F e(C N)_{6}\right]^{4-} \)
B . \( \left[F e(C N)_{6}\right]^{4-}>\left[M n C l_{4}\right]^{2-}>\left[C o C l_{4}\right]^{2} \)
C \( \cdot\left[F e(C N)_{6}\right]^{4-}>\left[\operatorname{CoCl}_{4}\right]^{2-}>\left[M n C l_{4}\right]^{2} \)
D. \( \left[M n C l_{4}\right]^{2-}>\left[F e(C N)_{6}\right]^{4-}>\left[C o C l_{4}\right]^{2-} \)
Subject: Physics
In young's double slit experiment the
maximum intensity is \( I_{0} . \) When one slit is closed, the intensity becomes:
A \( \cdot \frac{I_{0}}{2} \)
B. \( \frac{I_{0}}{8} \)
c. \( \frac{I_{0}}{4} \)
D. \( I_{0} \)
Subject: Maths
If the third term in the expansion of \( \left[x+x^{\log _{10} x}\right]^{5} \) is \( 10^{6}, \) then \( x \) can be
This question has multiple correct options
A \( \cdot 10^{-1 / 3} \)
B. 10
c. \( 10^{-5 / 2} \)
D. \( 10^{2} \)
Subject: Chemistry
In one of the industrial processes used for the manufacture of
sodium hydroxide, a gas \( X \) is formed as
a by-product. The gas \( X \) reacts
with lime water to give a compound \( Y \) which is used as a bleaching agent in the chemical industry. Identify \( \boldsymbol{X} \) and \( \boldsymbol{Y} \)
A. \( X \) is chlorine; \( Y \) is baking soda
B. \( X \) is chlorine; \( Y \) is bleaching powder
c. \( X \) is hydrogen; \( Y \) is potash
D. \( X \) is hydroge; \( Y \) is plaster of paris
Subject: Physics
The angular diameter of the sun is 1920". If the distance of the sun from the
earth is \( 1.5 \times 10^{11} \mathrm{m}, \) then the linear
diameter of the sun is:
A \( \cdot 2.6 \times 10^{9} \mathrm{m} \)
В. \( 0.7 \times 10^{9} \mathrm{m} \)
c. \( 5.2 \times 10^{9} \mathrm{m} \)
D. \( 1.4 \times 10^{9} \mathrm{m} \)
Subject: Physics
Three small bodies of identical masses
can move along a straight line. The central body (2) is initially at rest and
bodies 1 and 3 are at a distance \( L \) and \( 2 L \)
from the central body respectively.
Bodies 1 and 3 move towards body 2
with speeds \( v_{0} \) each. The collision
between 1 and 2 is perfectly elastic and the collision between body 2 and 3 is perfectly inelastic. After all the collisions are over
A. all the bodies come to rest
B. the body 1 moves towards left, bodies 2 and 3 move towards right
c. body 2 remains at rest and other bodies 1 and 3 turn back
D. all the bodies move towards right.
Subject: Physics
A vector \( \vec{A} \) when added to the vector \( \vec{B}=3 \hat{i}+4 \hat{j} \) yields a resultant vector that is in the positive y-direction and has a magnitude equal to that of \( \vec{B} \). Find the magnitude of \( \vec{A} \).
A. \( \sqrt{10} \)
B . 10
\( c .5 \)
D. \( \sqrt{15} \)
Subject: Maths
Find the value of \( J K \) in the following
figure if \( \angle \boldsymbol{H} \boldsymbol{L} \boldsymbol{G}=\angle \boldsymbol{J} \boldsymbol{L} \boldsymbol{K} \)
A . 11
3
\( c \cdot 21 \)
D.
Subject: Maths
Find the relation between \( x \) and \( y \) from
the following statements. \( -\boldsymbol{x}= \)
\( \mathbf{5} ;-\mathbf{5}<\boldsymbol{y} \)
A \( . x<y \)
В. \( x=y \)
c. \( x>y \)
D. none
Subject: Physics
A narrow slit \( S \) transmitting light of wavelength \( \lambda \) is placed a distance \( d \)
above a large plane mirror as shown in
fig 29.16 (a). The light coming directly
from the slit and that after reflection
interference coverage at \( \boldsymbol{P} \) on the
screen placed at a distance \( D \) from the
slit. What will be the intensity at a point just above \( O ? \) What will be \( x \) for which
first maxima occurs?
Subject: Physics
A copper ball of mass 100 gm is at a
temperature \( T . \) It is dropped in a copper
calorimeter of mass \( 100 g m \), filled with
\( 170 g m \) of water at room temperature. Subsequently, the temperature of the
system is found to be \( 75^{\circ} \mathrm{C} . \boldsymbol{T} \) is given
by :
(Given : room temperature \( =\mathbf{3 0}^{\circ} \boldsymbol{C} \)
specific heat of copper \( =0.1 \mathrm{cal} / \mathrm{gm}^{\circ} \mathrm{C} \)
\( \mathbf{A} \cdot 825^{\circ} C \)
B. \( 800^{\circ} \mathrm{C} \)
\( \mathbf{c} \cdot 885^{\circ} C \)
D. \( 1250^{\circ} \mathrm{C} \)
Subject: Maths
If two events \( A \) and \( B \) are such that
\( P(A)>0 \) and \( P(B)=1, \) then \( P \) is equal to
A \( \cdot_{1-P}\left(\frac{A}{B}\right) \)
в. \( _{1-P}\left(\frac{A^{\prime}}{B}\right) \)
\( ^{c} \cdot_{1-P}\left(\frac{A \cup B}{B^{\prime}}\right) \)
D. \( P\left(\frac{A}{B^{\prime}}\right) \)
Subject: Physics
An electron in the ground state of
hydrogen has an angular momentum \( L_{1} \)
and an electron in the first excited state
of lithium has an angular momentum
\( \boldsymbol{L}_{2} . \) Then
A \( \cdot L_{1}=L_{2} \)
В. \( L_{1}=4 L_{2} \)
\( \mathbf{c} \cdot L_{2}=2 L_{1} \)
D. \( L_{1}=2 L_{2} \)
Subject: Physics
Assertion (A) : Meterbridge wire is made
up of manganin. Reason (R) : The temperature coeffiecient of resistance is very small
for manganin.
A. Both A \& R are true and R is the correct explanation of \( A \)
B. Both A \& R are true and R is not a correct explanation of
c. A is true but R is false
D. A is false but R is true
Subject: Physics
When \( _{90} T^{228} \) transforms to \( _{83} B i^{212}, \) then the number to the emitted \( \alpha \) and \( \beta \) particles is, respectively:
\( \mathbf{A} \cdot 8 \alpha, 7 \beta \)
в. \( 4 \alpha, 7 \beta \)
c. \( 4 \alpha, 4 \beta \)
D. \( 4 \alpha, 1 \beta \)
Subject: Maths
The vector \( \overrightarrow{A B}=3 \hat{i}+4 \hat{k} \) and \( \overrightarrow{A C}= \) \( \mathbf{5} \hat{\mathbf{i}}-\mathbf{2} \hat{\mathbf{j}}+\mathbf{4} \hat{\boldsymbol{k}} \) are the sides of a \( \boldsymbol{\Delta} \boldsymbol{A} \boldsymbol{B} \boldsymbol{C} \)
where \( A \) is the origin. The length of
median through \( \boldsymbol{A} \) is
A. \( \sqrt{72} \)
B. \( \sqrt{33} \)
c. \( \sqrt{288} \)
D. \( \sqrt{18} \)
Subject: Maths
If \( f(x)=\sin ^{2} x \) and the composite
function \( g(f(x))=|\sin x|, \) then \( g(x) \) is
equal to
A \( \cdot \sqrt{x-1} \)
B. \( \sqrt{x} \)
c. \( \sqrt{x+1} \)
D. \( -\sqrt{x} \)
Subject: Chemistry
\( F e^{2+} \) is oxidised by \( M n O_{4}^{-} \) or \( C r_{2} O_{7}^{2-} \) in acidic medium. What is new
oxidation number of Fe?
\( A \cdot+3 \)
B. +1
\( c \cdot+2 \)
D. +4
Subject: Chemistry
Which of the following is/are true
regarding hydrogen economy? This question has multiple correct options
A. Hydrogen economy refers to technique of using dihydrogen in an efficient way.
B. Dihydrogen is transproted and stored in the form of liquid or gas.
C. Dihydrogen is ecofriendly and releases more energy than petrol.
D. Hydrogen economy refers to the transmission of this energy in the form of dihydrogen.
Subject: Physics
In Young's double slit experiment, the
source \( S \) and two slits \( A \) and \( B \) are
lying in a horizontal plane. The slit \( \boldsymbol{A} \) is
above slit \( B \). The fringe are obtained on
a vertical screen \( K . \) The optical path
from \( S \) to \( B \) is increased by putting a
transparent material of higher refractive indices. The path from \( \boldsymbol{S} \) to \( \boldsymbol{A} \)
remains unchanged. As a result of this, the result fringe pattern moves some what
A. upwards
B. downwards
c. towards left horizontally
D. towards right horizontally
Subject: Maths
The vectors \( \hat{i}-2 x \hat{j}-3 y \hat{k} \) and \( \hat{i}+ \) \( 3 x \hat{j}+2 y \hat{k} \) are orthogonal to each other.
Then the locus of the point \( (x, y) \) is
A. Hyperbola
B. Ellipse
c. Parabola
D. circle
Subject: Chemistry
Gastric juice contains 0.03 moles \( H C l \)
of per liter. If a person produces \( 2.5 \mathrm{L} \) of gastric juice per day. How many antacid tablets each containing \( 400 \mathrm{mg} \) of
\( A l(O H)_{3} \) are needed to neutralize all the \( H C l \) produced in one day?
Subject: Physics
The moment of inertia of a hollow
cubical box of mass \( M \) and side a
about an axis passing through the centres of two opposite faces is equal to
A \( \cdot \frac{5 M a^{2}}{3} \)
в. \( \frac{5 M a^{2}}{6} \)
c. \( \frac{5 M a^{2}}{12} \)
D. \( \frac{5 M a^{2}}{18} \)
Subject: Chemistry
\( \mathbf{P} \mathrm{Cl}_{3} \) on hydrolysis gives:
\( A \cdot H_{3} P O_{4} \)
в. \( \mathrm{H}_{3} \mathrm{PO}_{3} \)
c. \( P O C \)
D. \( \mathrm{H}_{3} \mathrm{PO}_{2} \)
Subject: Physics
Radio active carbon \( C^{14} \) in a wood
sample, decays with a half life of 5700 years. The fraction of the radio active
carbon \( C^{14}, \) that remains after a decay
period of 17,100 years is :
A. \( 1 / 4 \)
B. 3/4
\( c \cdot 1 / 8 \)
D. \( 7 / 8 \)
Subject: Chemistry
If analytical chemist found approximately 12 moles of oxygen in a sample of \( \left(\mathrm{Al}_{2} \mathrm{O}_{3}\right) \) and she also knows
that the atomic mass of aluminum is
27 g/mol and the atomic mass of
oxygen is \( 16 \mathrm{g} / \mathrm{mol} \) then what total mass
of this \( A I_{2} O_{3} \) is :
A. 102 g
B. 192 \( g \)
c. \( 3672 \mathrm{g} \)
D. 408 g
E. \( 1224 \mathrm{g} \)
Subject: Maths
\( \operatorname{Let} f(x)=\int \frac{e^{x}}{x} d x \) and
\( \int \frac{\left(e^{x-1}\right)(2 x)}{x^{2}-5 x+4} d x=\alpha f(x-4)+ \)
\( \beta f(x-1)+\gamma, \) then
This question has multiple correct options
\( \mathbf{A} \cdot \ln 3 \alpha=3 \)
B. \( 4+3 \beta=\ln 3 \alpha \)
c. \( 3 \beta+2=0 \)
D. \( \ln 3 \alpha=3+\ln 8 \)
Subject: Physics
Two large parallel sheets having linear
current densities \( J \) and \( -J_{0} \) as shown
in figure, then magnetic field in region \( b \) is:-
\( \mathbf{b} \)
\begin{tabular}{|l|l|l|l|l|l|}
\hline & \( \mathrm{X} \) & \( \mathrm{X} \) & \( \mathrm{X} \) & \( \mathrm{X} \) & \( \mathrm{X} \) & \( -\mathrm{J} \) \\
\hline
\end{tabular}
A . zero
в. \( \frac{\mu_{0} J}{2} \)
c. \( \mu_{0} \).
D. None of these
Subject: Maths
A man usually gets from one corner of a square lot to the opposite corner by walking along two of the sides. Approximately what percent of the distance does he save if he walks along
the diagonal?
A . \( 27 \% \)
B. \( 29 \% \)
\( c .31 \% \)
D. \( 33 \% \)
E . \( 25 \% \)
Subject: Physics
Two electric charges of \( 9 \mu C \) and \( -3 \mu C \) are placed \( 0.16 \mathrm{m} \) apart in air. There are two points \( A \) and \( B \) on the line joining the two charges at distances of (i) \( 0.04 m \) from \( -3 \mu C \) and in between the charges
and
(ii) \( 0.08 m \) from \( -3 \mu C \) and out side
the two charges. The potentials at \( A \) and
B are :
A. \( 0 V, 5 V \)
в. \( 0 V, 0 V \)
c. \( 5 V, 0 V \)
D. \( 5 V, 10 V \)
Subject: Physics
A proton and an electron initially at rest are accelerated by the same potential difference. Assuming that a proton is 2000 times heavier than an electron, what will be the relation between the de
Broglie wavelength of the proton \( \left(\boldsymbol{\lambda}_{\boldsymbol{p}}\right) \)
and that of electron \( \left(\boldsymbol{\lambda}_{e}\right) \) ?
A \( \cdot \lambda_{p}=2000 \lambda_{e} \)
B. \( \lambda_{p}=\frac{\lambda_{e}}{2000} \)
c. \( \lambda_{p}=20 \sqrt{5 \lambda_{e}} \)
D. \( \lambda_{p}=\frac{\lambda_{e}}{20 \sqrt{5}} \)
Subject: Maths
\( \lim _{n \rightarrow \infty} \frac{n(2 n+1)^{2}}{(n+2)\left(n^{2}+3 n-1\right)} \) is equal to
\( \mathbf{A} \cdot \mathbf{0} \)
B. 2
\( c \cdot 4 \)
\( D \)
Subject: Physics
topp
\( Q \)
more steeply for positive \( V \) than at higher temperatures, and at successively higher temperatures the asymmetry in the curve becomes less and less pronounced. The current - - voltage relation for a source may also be represented graphically. For a source represented by \( \boldsymbol{V}_{a b}=\boldsymbol{E}-\boldsymbol{I} \boldsymbol{r}, \) that is, \( \boldsymbol{V}=\boldsymbol{E}-\boldsymbol{I} r, \) The
graph appears in Figure (b). The ntercept on the \( V \) -axis, corresponding to the open circuit condition \( (\boldsymbol{I}=\mathbf{0}) \), is
at \( V=E \), and the intercept on the \( I \) -
axis, corresponding to a short-circuit situation \( (V=0), \) is at \( I=\frac{E}{r} \)
This relation may be used to find the current in a circuit containing a non linear device, as in fig (c). Its current voltage relation is shown in fig \( (d) \) and terminal voltage \( V=E-I r \) is also
plotted on this graph, each curve represents a current-voltage relation that must be satisfied, so the
ntersection represents the only possible values of \( V \) and \( I \). This amounts to a graphical solution of two simultaneous equation of \( V \) and \( I \), one of which is nonlinear.

When a device has a nonlinear voltage\( V \)
current relation, the quantity \( \frac{-}{I} \) is not constant. This ratio may still be called resistance, but now it varies with current; it is constant only for a device obeying Ohm's law. Often a more useful quantity is \( \frac{d V}{d I}, \) which expresses the relation between a small change in current and the resulting voltage change. This is called dynamic or incremental resistance. Which of the following vacuum tube devices shows negative resistance?
4. Diod
Subject: Chemistry
In complexes of weak field ligands,
\( \Delta_{o}<P(\text { pairing energy }), \) the energy
difference between \( t_{2 g} \) and \( e_{g} \) sets is relatively less. Under the influence of
strong field ligands, \( \Delta_{o}>P \) (pairing energy), the energy difference between
\( t_{2 g} \) and \( e_{g} \) sets is relatively high.
The correct statement regarding
\( \left[\boldsymbol{C r}(\boldsymbol{e n})_{2} \boldsymbol{C l}_{2}\right]^{+} \) and
\( \left[\boldsymbol{C o}\left(\boldsymbol{C}_{2} \boldsymbol{O}_{4}\right)_{2}\left(\boldsymbol{N} \boldsymbol{H}_{3}\right)_{2}\right]^{-} \) complex ions is :
A. both are equally stable complexes
B. both have equal number of stereoisomers
c. both are diamagnetic complexes
D. none of the above
Subject: Maths
Find the mean deviation about median
for the following data.
\begin{tabular}{lllll}
\multirow{2}{*} {\( \boldsymbol{C I} \)} & \( \boldsymbol{8}- \) & \( \mathbf{1 3}- \) & \( \mathbf{1 8}- \) & \( \mathbf{2 3}- \) \\
& \( \mathbf{1 2} \) & \( \mathbf{1 7} \) & \( \mathbf{2 2} \) & \( \mathbf{2 7} \)
\end{tabular}
14
20
Subject: Chemistry
For the reaction, \( 2 S O_{2}(g)+O_{2}(g) \rightleftharpoons \)
\( 2 S O_{3}(g) \) at \( 300 K, \) the value of \( \Delta G^{o} \) is
\( -690.9 R \)
The equilibrium constant value for the reaction at that temperature is (R is gas constant)
A. \( 10 a t m^{-1} \)
B. 10 atm
c. 10
D.
Subject: Maths
A cube of side 5 has one vertex at the
point \( (1,0,-1), \) and the three edges from this vertex are, respectively, parallel to the negative \( x \) and \( y \) axes and positive z-axis. Find the coordinates of the other
vertices of the cube.
A. (1,0,1)
B. (0,-1,0)
c. (0,0,-1)
D. (1,0,0)
Subject: Maths
Which pair of functions is identical?
\( A \cdot \sin ^{-1}(\sin x) \) and \( \sin \left(\sin ^{-1} x\right) \)
B \( \cdot \log _{e} e^{x}, \log ^{\log _{x} x} \)
\( \mathbf{c} \cdot \log _{e} x^{2}, 2 \log _{e} x \)
D. none of these
Subject: Chemistry
toppr
Q Type your question
production to improve the subsequent hardening of concrete. The elevated temperature during the production of cement may lead to the formation of unwanted hemihydrate
\( C a S O_{4} \cdot \frac{1}{2} H_{2} O \) according to reaction
\( \operatorname{CaSO}_{4} \cdot 2 H_{2} O(s) \rightarrow C a S O_{4} \)
\( \frac{1}{2} \boldsymbol{H}_{2} \boldsymbol{O}(\boldsymbol{s})+\frac{3}{2} \boldsymbol{H}_{2} \boldsymbol{O}(\boldsymbol{g}) \)
The \( \Delta_{f} H^{\ominus} \) of \( C a S O_{4} \)
\( 2 H_{2} O(s), C a S O_{4} \frac{1}{2} H_{2} O(s), H_{2} O(g) \)
\( \operatorname{are}-2021.0 k J m o l^{-1} \)
\( -1575.0 k J m o l^{-1} \) and \( -241.8 k J m o l^{-1} \)
respectively. The respective values of their standard entropies are 194.0 130.0 and \( 188.0 J K^{-1} m o l^{-1} \)
\( \boldsymbol{R}=\mathbf{8 . 3 1 4} \boldsymbol{J} \boldsymbol{K}^{-1} \boldsymbol{m o l}^{-1}= \)
\( 0.0831 L b a r m o l^{-1} K^{-1} \)
Answer the follwoing questions on the basis of above information.

The value of equilibrium constant for
reaction is:
A. 0
B.
\( c \)
\( D \)
Subject: Physics
There is an electric field \( \overrightarrow{\mathrm{E}}=\frac{a x^{3} \hat{i}+b y^{4} \widehat{j}+c z^{2} \widehat{k}}{a x^{4}+b y^{5}+c z^{3}} \)
at any \( (x, y, z) \) coordinates in the space
except origin, Where a,b \& c are constant.
Find the electrostatic flux passing
through a sphere of radius R whose
center is at the origin.
\( \mathbf{A} \cdot \pi R \)
\( \mathbf{B} \cdot 2 \pi R \)
\( \mathbf{c} .4 \pi R \)
D. Zero
Subject: Physics
Two identical bricks of length \( L \) are
piled one on top of the other on a table
as shown in the figure. The maximum
distance \( S \) the top brick can overhang
the table with the system still balanced
is :
A \( \cdot \frac{1}{2} L \)
в. \( \frac{2}{3} L \)
c. \( \frac{3}{4} L \)
D. \( \frac{7}{8} L \)
Subject: Physics
A small block of mass \( m \) is lying at a
rest at point \( \boldsymbol{P} \) of wedge having a
smooth semicircular track of radius \( \boldsymbol{R} \)
The maximum value of horizontal
acceleration \( a_{0} \) of wedge so that mass
can just reach the point \( Q ? \)
A \( . g / 2 \)
B. \( \sqrt{g} \)
\( c \)
D. not possible
Subject: Maths
\( \boldsymbol{A}(\mathbf{1},-\mathbf{1},-\mathbf{3}), \boldsymbol{B}(\mathbf{2}, \mathbf{1},-\mathbf{2}) \)
\( \& \quad C(-5,2 \)
are the position vectors of the vertices of a triangle \( A B C \), then the length of the bisector of its internal
angle \( A \) is
Subject: Chemistry
Give an equation for reaction of conc.
\( H N O_{3} \) with copper.
A \( \cdot 3 C u+4 H N O_{3}(\text { conc }) \rightarrow 3 C u\left(N O_{3}\right)_{2}+2 N O_{2}+H_{2} O \)
В \( \cdot \quad C u+2 H N O_{3}(\operatorname{conc}) \rightarrow C u\left(N O_{3}\right)_{2}+N O_{2}+2 H_{2} O \)
с. \( _{2 C u+4 H N O_{3}(\text {conc}) \rightarrow 2 C u\left(N O_{3}\right)_{2}+2 N O_{2}+2 H_{2} O} \)
D. \( C u+4 H N O_{3}(\text { conc }) \rightarrow C u\left(N O_{3}\right)_{2}+2 N O_{2}+2 H_{2} O \)