AkshitPareek2004/jee-question-analyzer-data huggingface dataset:
Subject: Chemistry
For the process \( \frac{3}{2} A \rightarrow B, \) at
\( \mathbf{2 9 8 K}, \mathbf{\Delta G ^ { \circ }} \) is \( \mathbf{1 6 3} \mathbf{k J} \mathbf{m o l}^{-1} . \) The
composition of the reaction mixture is \( [\boldsymbol{B}]=\mathbf{1} \) and \( [\boldsymbol{A}]=\mathbf{1 0 0 0 0} . \) Predict the
direction of the reaction and the
relation between reaction quotient (Q) and the equilibrium constant (K)
A. Forwards direction because \( Q>K \)
B. Reverse direction because \( Q>K \)
c. Forwards direction because \( Q<K \)
D. Reverse direction because \( Q<K \)
E. It is at equilibrium as \( Q=K \)
Subject: Maths
Construct a quadrilateral \( \boldsymbol{V} \boldsymbol{A} \boldsymbol{B} \boldsymbol{N} \)
where \( \boldsymbol{V} \boldsymbol{A}=\mathbf{7} \boldsymbol{c m}, \boldsymbol{A B}=\boldsymbol{8} \boldsymbol{c m}, \boldsymbol{B} \boldsymbol{N}= \)
\( \mathbf{1 0} c \boldsymbol{m}, \boldsymbol{A} \boldsymbol{N}=\mathbf{1 2} \boldsymbol{c m} \) and \( \boldsymbol{V} \boldsymbol{B}=\mathbf{1 1} \boldsymbol{c m} \)
The measure of side \( V N \) is :
A. \( 6 \mathrm{cm} \)
B. \( 6.5 \mathrm{cm} \)
\( c \cdot 5 \mathrm{cm} \)
D. \( 5.2 \mathrm{cm} \)
Subject: Chemistry
The vapour pressure is a solvent decreased by \( 10 \mathrm{mm} \) of mercuity when a non velocity was added to the solvent.
The mole traction of the solve in the
solution is \( 0.2 . \) What would be the mole
traction of the solvent.if decrease in the
vaspour pressure is t be \( 20 \mathrm{mm} \) of mercurity?
A. 0.8
B. 0.6
\( c \cdot 0.4 \)
\( D \cdot 0.2 \)
Subject: Physics
For the circuit shown in the fig., the
current through the inductor is \( 0.9 A \)
while the current through the condenser
is \( 0.4 A . \) Then
A. current drawn from generator \( I=1.13 A \)
B. \( \omega=1 /(1.5 L C) \)
\( \mathbf{c} \cdot I=0.5 A \)
D. \( I=0.6 A \)
Subject: Physics
A metal conductor of length 1 m rotates
vertically about one of its ends at angular velocity 5 radians per second. If
the horizontal component of earths
magnetic field is \( 0.2 \times 10^{-4} T, \) then the
e.m.f. developed between the two ends of
the conductor is
A. depends on the nature of the metal used
B. depends on the intensity of the radiation
c. depends both on the intensity of the radiation and the metal used
D. is the same for all metal and independent of the intensity of the radiation.
Subject: Physics
The range of wavelength of visible light is:
A \( .10 \AA \) to \( 100 \AA \)
в. 4000 月 to 7000 音
c. \( 8000 \dot{A} \) to \( 10,000 \dot{A} \)
D. \( 10,000 \dot{A} \) to \( 15,000 \dot{A} \)
Subject: Chemistry
Following questions may have more
than one correct options. The given graphs/data I, II, III and IV
represent general trends observed for
different physisorption and chemisorption processes under mild
conditions of temperature and
pressure
Which of the following choice(s) about I,
II, III and IV is/are correct?
This question has multiple correct options
A. I is physisorption and II is chemisorption
B. I is physisorption and III is chemisorption
C. IV is chemisorption and II is chemisorption
D. IV is chemisorption and III is chemisorption
Subject: Biology
When a tall plant with round seeds (TTRR) crossed with a dwarf plant with
wrinkle seeds (ttrr), the \( F_{1} \) generation consists of tall plants with round seeds. What would be the proportion of dwarf
plant with wrinkle seeds in \( F_{1} \)
generation?
\( A \cdot 1 / 4 \)
B. 1/16
\( c \cdot 0 \)
D. \( 1 / 2 \)
Subject: Physics
Figure shows two large cylindrical
shells having uniform linear charge
densities \( +a \lambda \) and \( -\lambda . \) Radius of inner
cylinder as 'a' and that o outer cylinder
is 'b'. A charged particle of mass m,
charge q revolves in a circle of radius
r.Then its speed 'v' is : (Neglect gravity and assume the radii of both the
cylinders to be very small in
comparision to their length)
A \( \cdot \sqrt{\frac{\lambda q}{2 \pi \epsilon_{0} m}} \)
B. \( \sqrt{\frac{2 \lambda q}{\pi \epsilon_{0} m}} \)
c. \( \sqrt{\frac{\lambda q}{\pi \epsilon_{0} m}} \)
D. \( \sqrt{\frac{\lambda q}{4 \pi \epsilon_{0} m}} \)
Subject: Maths
Let \( S_{n}=\sum_{k=1}^{n} k \) denote the sum of the
first \( n \) positive integers. The numbers
\( \boldsymbol{S}_{1}, \boldsymbol{S}_{2}, \boldsymbol{S}_{3}, \ldots, \boldsymbol{S}_{99} \) are written on \( \boldsymbol{9 9} \)
cards. The probability of drawing a card with an even number written on it is
A \( \cdot \frac{1}{2} \)
в. \( \frac{49}{100} \)
c. \( \frac{49}{99} \)
D. \( \frac{48}{99} \)
Subject: Maths
The standard deviation \( \sigma \) of the first \( N \)
natural numbers can be obtained using which one of the following formula?
\( ^{\mathrm{A}} \cdot_{\sigma}=\frac{N^{2}-1}{12} \)
B. \( \sigma=\sqrt{\frac{N^{2}-1}{12}} \)
c. \( _{\sigma}=\sqrt{\frac{N-1}{12}} \)
D. \( _{\sigma}=\sqrt{\frac{N^{2}-1}{6 N}} \)
Subject: Chemistry
The reagent used for converting benzene to ethyl benzene is:
\( \mathbf{A} \cdot C_{2} H_{5} C l, \) anhydrous \( A l C l_{3} \)
в. \( C_{2} H_{5} C l \), а \( q A l C l_{3} \)
c. \( C_{2} H_{5} O H \), anhydrous \( A l C l_{3} \)
D. \( C_{2} H_{5} C l, S O C l_{2} \)
Subject: Chemistry
Which of the following statement(s) is/are not correct?
A \( \cdot L a_{2}(O H)_{3} \), is less basic than \( L u_{2}(O H)_{3} \)
B. In Lanthanoid series ionic radius of \( \operatorname{Ln} \) n \( 3^{\wedge} \) + ions decreases
c. La is actually an element of transition series rather than Lanthanoid series
D. Atomic radii of Zr and Hf are same because of Lanthanide contraction
Subject: Physics
A \( 1200 \mathrm{kg} \) car is braked to a stop from \( 100 \mathrm{km} / \mathrm{h} . \) If \( 60 \% \) of this energy appears in the steel brake drums, whose total mass is \( 10 \mathrm{kg} \) its temperature will rise
by \( \left(s_{\text {steel }}=450 \mathrm{J} / \mathrm{kg} \mathrm{K}\right) \)
A . \( 31.2^{\circ} \mathrm{C} \)
B. \( 61.7^{\circ} \mathrm{C} \)
c. \( 92.1^{\circ} \mathrm{C} \)
D. \( 42.1^{\circ} \mathrm{C} \)
Subject: Physics
Assertion
High-level waste and spent fuel from a nuclear power plant must be handled
and stored with care.
Reason
Used fuel from a nuclear reactor is no
longer efficient in creating electricity, because its fission process has slowed.
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 square loop of side \( 20 \mathrm{cm} \) is initially
kept \( 30 \mathrm{cm} \) away from a region of uniform magnetic filed of \( 0.1 \mathrm{T} \) as shown
in the figure. It is then moved towards
the right with a velocity of \( 10 \mathrm{cm} \mathrm{s}^{-1} \) till
it goes out of the field. plot a graph
showing the variation of
(i) magnetic flux \( (\phi) \) through the loop
with time(t).
(ii) induced emf \( (\varepsilon) \) in the loop with
time t.
(iii) induced current in the loop, if it has
resistance of \( 0.1 \Omega \)
Subject: Chemistry
Statement 1: Gas-phase elements
absorb or emit only specific wavelengths of visible light when
excited by an electric current.
Statement 2: The energy levels that
electrons can occupy in gas-phase
atoms and molecules are continuous.
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 and 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.
E. Both the Statement 1 and Statement 2 are not correct.
Subject: Chemistry
Choose the correct reason(s) for the
stability of the Iyophoic colloidal
particles.

This question has multiple correct options
A. Preferential adsorption of ions on their surface from the solution.
B. Preferential adsorption of solvent on their surface from the solution.
C. Attraction between different particles having opposite charges on their surface.
D. Potential difference between the fixed layer and the diffused layer of opposite charges around the colloidal particles.
Subject: Maths
If \( \boldsymbol{x}\left[\begin{array}{l}2 \\ \mathbf{3}\end{array}\right]+\boldsymbol{y}\left[\begin{array}{c}-\mathbf{1} \\ \mathbf{1}\end{array}\right]=\left[\begin{array}{c}\mathbf{1 0} \\ \mathbf{5}\end{array}\right] \)
Find values of \( x \) and \( y \)
Subject: Maths
Which two angles are supplementary?
A. \( \angle C O F \) and \( \angle A O C \)
B. \( \angle C O F \) and \( \angle C O E \)
\( \mathrm{c} . \angle \mathrm{COF} \) and \( \angle E O D \)
D. \( \angle C O F \) and \( \angle A O E \)
Subject: Physics
Three monkeys \( A, B \) and \( C \) with masses of \( 10,15 \& 8 k g \) respectively
are climbing up \( \& \) down the rope suspended from \( D \). At the instant
represented, \( A \) is descending the rope
with an acceleration of \( 2 m / s^{2} \& C \) is pulling himself up with acceleration of
\( 1.5 m / s^{2} . \) Monkey \( B \) is climbing up with a constant speed of \( 0.8 m / s . \) Calculate
the tension \( T \) in the rope at \( D .(g= \)
\( \left.10 m / s^{-2}\right) \)
Subject: Maths
Ayush starts walking from his house to office. Instead of going to the office directly, he goes to a bank first, from there to his daughter's school and then reaches the office What is the extra
distance travelled by Ayush in reaching the office. If the house is situated at
\( (2,4), \) bank at \( (5,8), \) school at (13,14)
and office at (13,26) and the coordinates are in kilometers?(Assume
that all distances covered are in
straight lines).
Subject: Physics
A circular coil of mean radius of \( 7 \mathrm{cm} \)
and having 4000 turns is rotated at the rate of 1800 revolutions per minute in
the earth's magnetic field \( (\mathrm{B}=\mathbf{0 . 5} \) gauss), the peak value of emf induced in coil will be?
A . \( 1.158 \mathrm{v} \)
B. \( 0.58 \mathrm{V} \)
c. \( 0.29 v \)
D. \( 5.8 v \)
Subject: Physics
A particle of mass \( m \) is attached to
three springs \( A, B \) and \( C \) of equal force
constants \( k \) as shown in figure. If the
particle is pushed slightly against the
spring \( C \) and released, the time period
of oscillation is
A \( \cdot 2 \pi \sqrt{\frac{m}{k}} \)
В \( \cdot 2 \pi \sqrt{\frac{m}{2 k}} \)
c. \( 2 \pi \sqrt{\frac{m}{3 k}} \)
D. \( 2 \pi \sqrt{\frac{3 m}{k}} \)
Subject: Physics
The angle between vectors \( \vec{A}=\hat{i}-5 \hat{j} \) and \( \vec{B}=2 \hat{i}-10 \hat{j} \) is:
A \( .90^{\circ} \)
B . \( 180^{\circ} \)
\( c \cdot 60^{\circ} \)
D. \( 0^{\circ} \)
Subject: Physics
The \( V-I \) graph for a conductor at
temperature \( T_{1} \) and \( T_{2} \) are as shown in
figure. The term \( \left(\boldsymbol{T}_{\mathbf{2}}-\boldsymbol{T}_{\mathbf{1}}\right) \) is
proportional to:
\( \mathbf{A} \cdot \cos 2 \theta \)
B. \( \sin 2 \theta \)
\( c \cdot \cot 2 \theta \)
D. \( \tan 2 \theta \)
Subject: Physics
A ray of light propagates from glass (refractive index \( =3 / 2 \) ) to water
(refractive index \( =4 / 3 \) ).The value of the
critical angle:
\( A \cdot \sin ^{-1}(1 / 2) \)
B \( \cdot \sin ^{-1}\left(\frac{\sqrt{8}}{9}\right) \)
\( c \cdot \sin ^{-1}(8 / 9) \)
\( D \cdot \sin ^{-1}(5 / 7) \)
Subject: Maths
Compute the following sum:
\( \boldsymbol{A}=\left[\begin{array}{cc}\mathbf{3} & \mathbf{- 2} \\ \mathbf{1} & \mathbf{4}\end{array}\right] \) and \( \boldsymbol{B}=\left[\begin{array}{cc}-\mathbf{2} & \mathbf{4} \\ \mathbf{1} & \mathbf{3}\end{array}\right] \)
Subject: Physics
An electric dipole of moment \( \vec{p} \) is placed normal to the lines of force of electric intensity \( \vec{E} \), then work done in
deflecting it through an angle of \( 180^{\circ} \) is:
A \( . p E \)
в. \( +2 p E \)
c. \( -2 p E \)
D. zero
Subject: Chemistry
How many \( C l \) atoms can you ionize in the process \( C l \rightarrow C l^{+}+e \) by the
energy liberated for the process \( C l+ \)
\( e \rightarrow C l^{-} \) for one Avogadro number of
atms. Given \( I P=13.0 e V \) and \( E A= \)
\( 3.60 e V . \) Avogadro number \( =6 \times 10^{23} \)
Subject: Chemistry
Which of the followings is/are correct?
This question has multiple correct options
A. In the structure of \( I F_{2}^{+} \) bond angle is smaller than the tetrahedral angle because of lone pair-lone pair repulsion
B. In the structure of \( I F_{4}^{+} \), there is \( s p^{3} \) hybridisation with bond angle of \( 109^{\circ} 28^{\prime} \)
C. In the structure of \( I F_{6}^{+} \), there are six bonding electrons and no lone pairs
D. In the structure of \( I F_{4}^{+} \), two F-atoms one at equatorial positions and two are inclined at an angle less than \( 120^{\circ} \) due to lone pair-bond pair repulsion
Subject: Physics
A small sphere starts falling from a very large height and after falling a distance
of \( 100 m \) it attains the terminal velocity
and continues to fall with this velocity. The work done by the atmosphere during the first fall of \( 100 m \) is:
A. Greater than the work done for next fall of 100 m
B. Less than the work done for next fall of 100 m
c. Equal to \( 100 \mathrm{mg} \)
D. Greater than \( 100 \mathrm{mg} \)
Subject: Chemistry
Which of the following is/are incorrect
about solubility trend in group I and II ?
This question has multiple correct options
A. The solubility of the alkali metal fluorides increases on moving down the group.
B. The solubility of the alkali metal hydroxides decreases on moving down the group.
C. The solubility of hydroxides, fluorides and oxalates decreases from calcium to barium
D. The solubility of carbonates, sulphates and chromates decreases on moving down the group.
Subject: Maths
Find the sum of the order and degree of
the differential equation \( \boldsymbol{y}= \)
\( \boldsymbol{x}\left(\frac{\boldsymbol{d} \boldsymbol{y}}{\boldsymbol{d} \boldsymbol{x}}\right)^{3}+\frac{\boldsymbol{d}^{2} \boldsymbol{y}}{\boldsymbol{d} \boldsymbol{x}^{2}} \)
Subject: Chemistry
The equation for the reaction of burning
Mg with \( N O_{2} \) is
\( \boldsymbol{x} \boldsymbol{M} \boldsymbol{g}+\boldsymbol{y} \boldsymbol{N} \boldsymbol{O}_{2} \longrightarrow \boldsymbol{x} \boldsymbol{M} \boldsymbol{g} \boldsymbol{O}+\boldsymbol{z} \boldsymbol{N}_{2} \)
Then \( \boldsymbol{x}+\boldsymbol{y}+\boldsymbol{z}=? \)
Subject: Physics
In figure, when an ideal voltmeter is
connected across \( 4000 \omega \) resistance, it
reads \( 30 \mathrm{V} \). If the voltmeter is connected
\( \operatorname{across} 3000 \omega \) resistance, it will read
\( A \cdot 20 V \)
B. 22.5
\( c \cdot 35 v \)
D. \( 40 \mathrm{V} \)
Subject: Biology
Complete the illustration by adding \( A, B \)
\( c \) and \( D \)
\begin{tabular}{|c|c|c|}
\hline \multirow{2}{*} {\multicolumn{2}{|c|} { Blood }\text { Blood }} \\
\cline { 2 - 3 } & \\
\hline Corpuscles & \\
\hline & \\
\cline { 2 } & ? \\
\hline\( ? \) & \\
\hline
\end{tabular}
Subject: Maths
If \( A \) is a square matrix of order \( n \), then
\( |\mathbf{A} \mathbf{d} \mathbf{j} A| \) is
\( \mathbf{A} \cdot|A|^{2} \)
B \cdot \( |A|^{n} \)
C \( \cdot|A|^{n-1} \)
D・ |A|
Subject: Maths
Find the value of \( x+y \) from the
following equation:
\( \mathbf{2}\left[\begin{array}{cc}\boldsymbol{x} & \mathbf{5} \\ \mathbf{7} & \boldsymbol{y}-\mathbf{3}\end{array}\right]+\left[\begin{array}{cc}\mathbf{3} & \mathbf{- 4} \\ \mathbf{1} & \mathbf{2}\end{array}\right]=\left[\begin{array}{cc}\mathbf{7} & \mathbf{6} \\ \mathbf{1 5} & \mathbf{1 4}\end{array}\right] \)
Subject: Chemistry
A current liberates \( 0.50 g \) of hydrogen in
2 hours. The weight of copper(At.wt. \( = \)
63.5 ) deposited at the same time by the
same current through copper sulphate solution is:
\( \mathbf{A} \cdot 63.5 g \)
в. \( 31.8 g \)
c. \( 15.9 g \)
D. \( 15.5 g \)
Subject: Physics
Space between two concentric conducting spheres of radii a and \( b(b>a) \) is filled with a medium of
resistivity \( \rho . \) The resistance between the
two spheres will be :
A \( \cdot \frac{\rho}{4 \pi}\left(\frac{1}{a}-\frac{1}{b}\right) \)
в. \( \frac{\rho}{2 \pi}\left(\frac{1}{a}-\frac{1}{b}\right) \)
c. \( \frac{\rho}{2 \pi}\left(\frac{1}{a}+\frac{1}{b}\right) \)
D. \( \frac{\rho}{4 \pi}\left(\frac{1}{a}+\frac{1}{b}\right) \)
Subject: Chemistry
The correct statement(s) about \( \boldsymbol{O}_{3} \)
is(are):
This question has multiple correct options
A. 0 -o bond lengths are equal
B. thermal decomposition of \( O_{3} \) is endothermic
\( \mathrm{c} \cdot O_{3} \) is diamagnetic in nature
\( \mathrm{D} \cdot O_{3} \) has a bent structure
Subject: Chemistry
One litre hard water contains \( 1 \mathrm{mg} \)
\( \mathrm{CaCl}_{2} \) and \( 1 \mathrm{mg} M \mathrm{g} S \mathrm{O}_{4} \). The hardness
of water is:
A . 1.743 ppm
в. 1.745 ppm
c. 1.734 ppm
D. none of the above
Subject: Physics
Light wave of frequency \( 4 \times 10^{14} \mathrm{Hz} \)
passes through a medium. The wave
length in the medium is \( \lambda=5 \times 10^{-7} \)
m. The refractive index of the medium
is:
\( A \cdot 2 / 3 \)
B. \( 4 / 3 \)
\( c \cdot 3 / 2 \)
D. 1.414
Subject: Biology
Which one is correct sequence in glycolysis?
A . G 6-P\rightarrow PEP\rightarrow3-PGAL \( \rightarrow \) 3-PGA
B. G 6-P\rightarrow 3-PGAL \( \rightarrow 3 \) -PGA \( \rightarrow \) 3-PEP
c. \( G 6-P \rightarrow P E P \rightarrow 3-P G A \rightarrow 3-P G A L \)
D. G 6-P \( \rightarrow \) 3-PGA \( \rightarrow \) 3-PGAL \( \rightarrow \) 3-PEP
Subject: Physics
A marble starts falling from rest on a
smooth inclined plane of inclination \( \alpha \)
After covering distance \( h \) the ball
rebounds off the plane. The distance
from the impact point where the ball rebounds for the second time is :
\( A \cdot 8 h \cos \alpha \)
B. \( 8 h \sin \alpha \)
\( c \cdot 2 h \tan \alpha \)
D. \( 4 h \sin \alpha \)
Subject: Maths
Find the areas of the triangles the
coordinates of whose angular points are
respectively. \( \left\{\begin{array}{c}a m_{1}, \frac{a}{m_{1}} \\ a m_{3}, \frac{a}{m_{3}}\end{array}\right\},\left\{a m_{2}, \frac{a}{m_{2}}\right\} \) and
Subject: Biology
Choose the correct combination of
labeling of the lenticel
A . a-pore, b-complementary cells, c-cork, d-cork cambium, e-secondary cortex
B. a-pore, b-secondary cortex, c-cork, d-cork cambium, e complementary cells
c. a-pore, b-cork cambium, c-secondary cortex, d-cork. complementary cells
D. a-pore, b-cork, c-complementary cells, d-cork cambium, e-secondary cortex
E. a-pore, b-cork, c-cork cambium, d-secondary cortex, ecomplementary cells
Subject: Maths
\( \int e^{x} \sec x(1+\tan x) d x \)
A \( \cdot e^{x} \cos x+C \)
B . \( e^{x} \sec x+C \)
\( \mathbf{c} \cdot e^{x} \sin x+C \)
D. \( e^{x} \tan x+C \)
Subject: Maths
The following data gives the amount of manure (in thousand tonnes)
manufactured by a company during
some years:
Year \( \begin{array}{ll}\text { 1992 } & \text { 1993 } \quad 1994 \\ \end{array} \)
Manure
in thousand tonnes
Indicate with the help of the bar graph
the year in which the amount of manure manufactured by the company was maximum.
Subject: Biology
In a dicotyledonous stem, the sequence of tissues from the outside to the inside
is
A. Phellem, Pericycle, Endodermis, Phloem
B. Phellem, Phloem, Endodermis, Pericycle
C. Phellem, Endodermis, Pericycle, Phloem
D. Pericyle, Phellem, Endodermis, Phloem
Subject: Chemistry
\( \begin{array}{ll}\text { List }-1 & \text { List }-2 \\ \text { Fraction } & \text { Temperature } \\ \text { A) Heavy oil } & \text { 1) } u p t o 170^{0} C \\ \text { B) Anthracene oil } & \text { 2) } 170^{0}-230^{0} C \\ \text { C) Light oil } & \text { 3) } 230^{0}-270^{0} C \\ \text { D) Middle oil } & \text { 4) } 270^{0}-400^{0} C\end{array} \)
\( \mathbf{A} \)
\( A-2, B-4, C-3, D-1 \)
B \( . A-1, B-2, C-3, D-4 \)
\( \mathbf{c} \cdot A-3, B-1, C-4, D-2 \)
D \( . A-3, B-4, C-1, D-2 \)
Subject: Chemistry
Amino acids are classified as acidic, basic or neutral depending upon the relative number of amino and carboxyl groups in their molecule. Which of the following are acidic?
(i) \( \left(\boldsymbol{C H}_{3}\right)_{2} \boldsymbol{C H}-\boldsymbol{C}_{\boldsymbol{I} \boldsymbol{H}_{2}} \boldsymbol{H}-\boldsymbol{C O O H} \)
(ii) \( H O O C-C H_{2}-C H_{2}-C_{I H_{2}} H \)
COOH
(iii) \( \boldsymbol{N} \boldsymbol{H}_{2}-\boldsymbol{C} \boldsymbol{H}_{2}-\boldsymbol{C} \boldsymbol{H}_{2}-\boldsymbol{C} \boldsymbol{H}_{2}- \)
COOH
(iv) \( H O O C-C H_{2}-C_{\mid} H-C O O H \)
\( A \cdot \) (ii) and (iv)
B. (iii) and (iv)
c. (i) and (ii)
D. (ii) and (iii)
Subject: Chemistry
What will be the molar conductivity of
\( A l^{3+} \) ions at infinite dilution if molar
conductivity of \( A l_{2}\left(S O_{4}\right)_{3} \) is \( 858 S c m^{2} \) \( m o l^{-1} \) and ionic conductance of \( S O_{4}^{2-} \)
is 160 S \( c m^{2} \) mol \( ^{-1} \) at infinite dilution?
A \( \cdot 189 \mathrm{S} \mathrm{cm}^{2} \mathrm{mol}^{-1} \)
B. \( 698 \mathrm{S} \mathrm{cm}^{2} \mathrm{mol}^{-1} \)
c. \( 1018 \mathrm{s} \mathrm{cm}^{2} \mathrm{mol}^{-1} \)
D. \( 429 \mathrm{S} \mathrm{cm}^{2} \mathrm{mol}^{-1} \)
Subject: Chemistry
Water of mass \( m_{2}=1 \mathrm{kg} \) is contained in a copper calorimeter of mass \( m_{1}=1 \mathrm{kg} \)
Their common temperature \( t=10^{0} C \)
Now a piece of ice of mass \( m_{3}=2 \mathrm{kg} \) and temperature is \( 11^{0} C \) dropped into the calorimeter. Neglecting any heat loss, the final temperature of system is. [specific heat of copper \( =0.1 \mathrm{Kcal} / \mathrm{kg}^{0} \boldsymbol{C} \)
specific heat of water \( =1 \mathrm{Kcal} / \mathrm{kg}^{0} \boldsymbol{C} \)
specific heat of ice \( =0.5 \mathrm{Kcal} / \mathrm{kg}^{0} \boldsymbol{C} \)
latent heat of fusion of ice \( =78.7 \)
Kcal/kg]
\( \mathbf{A} \cdot 0^{0} C \)
в. \( 4^{\circ} \mathrm{C} \)
\( \mathbf{c} \cdot-4^{0} C \)
D. \( -2^{0} C \)
Subject: Physics
A uniform wire of Youngs modulus Y is stretched by a force within the elastic limit. If \( S \) is the stress produced in the
wire and \( \varepsilon \) is the strain in it, the
potential energy stored per unit volume is given by
This question has multiple correct options
A \( \cdot \frac{1}{2} \varepsilon S \)
в. \( \frac{1}{2} Y \varepsilon^{2} \)
c. \( \frac{s^{2}}{2 Y} \)
D. \( \frac{1}{2} Y \varepsilon S \)
Subject: Maths
\( A(3,-4), B(5,-2), C(-1,8) \) are the
vertices of \( \triangle A B C . D, E, F \) are the midpoints of sides \( \overline{B C}, \overline{C A} \) and \( \overline{A B} \) respectively. Find area of \( \triangle A B C . \) Using
coordinates of \( D, E, F, \) find area of
\( \triangle D E F . \) Hence show that the \( A B C= \)
\( \mathbf{4}(D E F) \)
Subject: Maths
Given point are \( \boldsymbol{P}=(\mathbf{1},-\mathbf{2}), \boldsymbol{Q}=(\mathbf{7}, \mathbf{6}) \)
is the origin. The length of the common chord of the circles with \( \mathrm{OP} \) and \( \mathrm{OQ} \) as diameters is
A . 1
B. 2
\( c \cdot 4 \)
D. 6
Subject: Chemistry
Consider the following reaction \( \boldsymbol{C C l}_{3} \boldsymbol{C H}=\boldsymbol{C H}_{2} \frac{N a \boldsymbol{B O}_{4}}{\boldsymbol{H}_{2} \boldsymbol{O}_{2} / \boldsymbol{H O C l}} \)
Product\( (P) \)
\( \boldsymbol{P} \) is:
A \( \cdot C C l_{3} C H-C H_{2} C l \)
of
c. \( C C l_{3} C H C H_{2} O H \)
\( d_{l} \)
D. \( C C l_{3} C H C H_{2} \)
1
Subject: Chemistry
Assertion
The \( Q_{c} \) for the reaction:
\( 2 S O_{2}(g)+O_{2}(g) \leftrightharpoons 2 S O_{3}(g) \) is \( Q_{c}= \)
\( \frac{\left[\boldsymbol{S O}_{3}\right]^{2}}{\left[\boldsymbol{S O}_{2}\right]^{2}\left[\boldsymbol{O}_{2}\right]} \)
Reason
When \( Q_{c}<K_{c}, \) the reaction is not at
equilibrium and it will fast in backward direction.
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: Maths
\( \mu=\{a, b, c, d, e, f, g, h, i, j\} \)
\( P=\{a, b, c, e\} \)
\( Q=\{b, c, d, f\} \) and
\( R=\{c, f, h, i, j\} \)
Number of elements of the set
\( \boldsymbol{P} \cup \boldsymbol{Q} \cup \boldsymbol{R} \) is:
A \( \cdot 12 \)
B. 11
c. 10
\( D \)