AkshitPareek2004/jee-question-analyzer-data huggingface dataset:
Subject: Chemistry
For \( \boldsymbol{A} \rightarrow \boldsymbol{B}, \boldsymbol{\Delta} \boldsymbol{H}=\boldsymbol{4} \boldsymbol{k} c a l \boldsymbol{m} \boldsymbol{o} \boldsymbol{l}^{-1}, \boldsymbol{\Delta} \boldsymbol{S}= \)
\( 10 c a l m o l^{-1} k^{-1} \) is spontaneous when
temperature can be:
\( \mathbf{A} \cdot 400 K \)
B. \( 300 K \)
\( \mathbf{c} .500 K \)
D. \( 200 K \)
Subject: Physics
A thin circular ring of a mass \( \mathrm{m} \) and radius R is rotating about its axis with a constant angular velocity \( (\mathbf{5} \pm \mathbf{1 . 5}) \mathbf{\Omega} \)
Two objects each of mass M are attached gently to the opposite ends of a diameter of the ring. The angular velocity of ring is.
A \( \cdot \frac{\omega m}{M+m} \)
в. \( \frac{\omega m}{M+2 m} \)
c. \( \frac{\omega(M+2 m)}{m} \)
D. \( \frac{\omega(m-2 m)}{m+2 M} \)
Subject: Maths
If the points \( \boldsymbol{A}(\boldsymbol{x}, \mathbf{2}), \boldsymbol{B}(-\mathbf{3},-\mathbf{4}) \) and
\( C(7,-5) \) are collinear, then the value of \( x \) is :
A . -63
B. 63
\( c .60 \)
D. - 60
Subject: Physics
Figure (i) and (ii) below show the displacement-time graphs of two particles moving along the x-axis. We
can say that
A. Both the particles are having a uniformly accelerated motion
B. Both the particles are having a uniformly retarded motion
C. Particle (i) is having a uniformly accelerated motion while particle (ii) is having a uniformly retarded motion
D. Particle (i) is having a uniformly retarded motion while particle (ii) is having a uniformly accelerated motion
Subject: Physics
If \( \vec{A}=\vec{B}+\vec{C}, \) and the magnitudes of \( \vec{A} \) \( \vec{B}, \vec{C} \) are \( 5,4, \) and 3 units, then the angle between \( \vec{A} \) and \( \vec{C} \) is
A \( \cdot \cos ^{-1}\left(\frac{3}{5}\right) \)
B. \( \cos ^{-1}\left(\frac{4}{5}\right) \)
\( ^{c} \cdot \sin ^{-1}\left(\frac{3}{4}\right) \)
D. \( \frac{\pi}{2} \)
Subject: Chemistry
The energy of an electron in the first Bohr orbit of H atom is -13.6e \( V \). The
possible energy value(s) of the excited
state for electrons in Bohr orbits of \( L i^{2+} \)
is:
A. \( -61.2 e V \)
B. \( -13.6 e V \)
c. \( -122.4 e V \)
D. \( +6.8 e V \)
Subject: Chemistry
Which of the following species are having peroxy linkages? This question has multiple correct options
\( \mathbf{A} \cdot B r O_{4}^{-} \)
в. \( S_{2} O_{8}^{2} \)
\( \mathrm{c} \cdot P_{2} \mathrm{O}_{8}^{4} \)
D. \( P O_{5}^{3} \)
Subject: Biology
The thin filaments of myofibril contain
(A) \( _{--} \) actin and two filaments of
(B) \( _{-} \) protein along with
(C) \( _{--} \) protein for masking binding site for myosin.
A. A - 1F B - troponin C - Tropomyosin
B. A - 1F B - tropomyosin C - troponin
c. A - 2F B - troponin C - tropomyosin
D. A - 2F B - tropomyosin C - troponin
Subject: Physics
A square conducting coil of area \( = \)
\( 100 \mathrm{cm}^{2} \) is placed normally inside a
uniform magnetic field of \( 10^{3} W b m^{-2} \) The magnetic flux linked with the coil is
Wh.
A . 10
B . \( 10^{-5} \)
\( c \cdot 10^{5} \)
D. 0
Subject: Physics
A conducting rod of length \( l \) is hinged at
point \( 0 . \) It is free to rotate in a vertical
plane. There exists a uniform magnetic field \( \vec{B} \) in horizontal direction. The rod is
released from the position shown. The potential difference between the two
ends of the rod is proportional to:
This question has multiple correct options
\( A \cdot l^{3 / 2} \)
B \( \cdot l^{2} \)
\( c \cdot \sin \theta \)
D. \( (\sin \theta)^{1 / 2} \)
Subject: Chemistry
A dichloroderivative \( (A) \) on treating
with \( K C N \) followed by acid hydrolysis and heating gives a monobasic acid
\( (B) \) along with liberation of \( C O_{2}(B) \) on heating with liquid ammonia followed
by treating with \( B r_{2} / K O H \) gives \( (C) \)
which on treating with \( N a N O_{2} \) and
\( H C l \) at low temperature followed by
oxidation gives a monobasic acid \( (D) \) having molecular mass \( 74 . C \) in the
whole process would be:
A. ethyl amine
B. propyl amine
c. tert-butyl amine
D. cyclopentyl amine.
Subject: Physics
\( 45 g \) of water at \( 50^{\circ} C \) in a beaker is cooled when \( 50 g \) of copper at \( 18^{\circ} C \) is added to it. The contents are stirred till
final constant temperature is reached. Calculate the final temperature. The specific heat capacity of copper is \( 0.39 J g^{-1} K^{-1} \) and that of water is
\( 4.2 J g^{-1} K^{-1} . \) State the assumption used.
Subject: Maths
If the p.d.f of a continuous random variable \( \boldsymbol{x} \) is \( \boldsymbol{f}(\boldsymbol{x})= \)
\( \left\{\begin{array}{ll}k x^{2}(1-x) & , 0<x<1 \\ 0 & , \text { otherwise }\end{array}\right. \)
then value of \( k \) is
A . 12
B. 10
c. -12
D.
Subject: Physics
A body is kept in cooler surroundings. When the temperature of the body is \( 70^{0} C, \) it cools at the rate of \( 3^{0} C \) per
minute and at \( 50^{0} C \), it cools at the rate
of \( 1.5^{0} C \) per minute. Find the
temperature of the body when it cools at
the rate of \( 1^{0} C \) per minute.
Subject: Physics
There are three forces acting on an object : 6 N to the left, 5 N to the right and \( 3 \mathrm{N} \) to the left.What is the net force
acting on the object?
\( A \cdot 4 N \)
B. 4 N left
c. 4 N right
D. 8 N left
E. None of above
Subject: Maths
The principal argument of \( \frac{i-3}{i-1} \) is
A \( \cdot \tan ^{-1} \frac{1}{2} \)
в. \( \tan ^{-1} \frac{3}{2} \)
c. \( \tan ^{-1} \frac{5}{2} \)
D. \( \tan ^{-1} \frac{7}{2} \)
Subject: Chemistry
\( C H_{3} C H_{2} C O O H \frac{B r / R e d p}{\Delta} \)
\( (A) \stackrel{a l c . N H_{3}}{ } B \)
The final product (B) in the above reaction is
A. Alanine
B. Pyruvic acid
c. citric acid
D. Lactic acid
Subject: Physics
The height at which the acceleration due to gravity becomes \( g / 9 \) (where \( g= \) the acceleration due to gravity on the
surface of the earth) in terms of \( R \), the
radius of the earth, is
A. \( R / 2 \)
в. \( \sqrt{2} R \)
\( c .2 R \)
D. \( \frac{R}{\sqrt{2}} \)
Subject: Physics
The displacement of a particle in S.H.M.
is indicated by equation \( \boldsymbol{y}= \)
\( 10 \sin (20 t+\Omega / 3) \) where \( y \) is in
metres. The value of time period of vibration will be (in seconds):
A . \( 10 / \pi \)
в. \( \pi / 10 \)
c. \( 2 \pi / 10 \)
D. \( 10 / \pi 2 \)
Subject: Maths
If a line makes an angle of \( \frac{\pi}{4} \) with the positive direction of each of \( x \) -axis and
\( \boldsymbol{y} \) -axis, then the angle that the line
makes with the positive direction of \( z \)
axis is-
A \( \cdot \frac{\pi}{3} \)
в.
c. \( \frac{\pi}{2} \)
D.
Subject: Physics
If \( \vec{E}_{a x} \) and \( \vec{E}_{e q} \) represents electric field at a point on the axial and equatorial line of a dipole. If points are at a distance \( r \) from the centre of the dipole,
for \( \boldsymbol{r} \gg \boldsymbol{a} \)
\( \mathbf{A} \cdot \overrightarrow{E_{a x}}=\overrightarrow{E_{e q}} \)
B . \( \overrightarrow{E_{a x}}=-\overrightarrow{E_{e q}} \)
c. \( \overrightarrow{E_{a x}}=-2 \overrightarrow{E_{e q}} \)
D. \( \overrightarrow{E_{e q}}=2 \overrightarrow{E_{a x}} \)
Subject: Chemistry
Which of the following pairs of solutions is isotonic?
A. \( 6 \% \) urea and \( 6 \% \) glucose \( (w / v) \)
B. \( 18 \% \) urea and \( 18 \% \) glucose \( (w / v) \)
\( c .6 \% \) urea and \( 18 \% \) fructose \( (w / v) \)
D. \( 34.2 \% \) sucrose and \( 60 \% \) glucose \( (w / v) \)
Subject: Maths
The coordinates of the points in which the line joining the points (2,5,-7) and (-3,-1,8) are intersected by the \( y-z \)
plane are
A \( \cdot\left(0, \frac{13}{5},-1\right) \)
B \( \cdot\left(0, \frac{-13}{5},-2\right) \)
D. \( \left(0, \frac{13}{5}, \frac{2}{5}\right) \)
Subject: Biology
Assertion
The first molecules formed for
replicating cells were most probably
RNA.
Reason
This was proved by origin of ribozyme in
1987 by T. Cech in Tetrahymena.
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
Q Type your question.
\( \operatorname{arm} \mathrm{PQ}, \) which remains hinged along a
horizontal line taken as the y-axis. A uniform magnetic field \( \overrightarrow{\boldsymbol{B}}=(\mathbf{3} \hat{\mathbf{i}}+ \)
\( 4 \hat{k}) B_{0} \) exists in the region. The loop is
held in the \( x \) -y plane and a current lis passed through it. The loop is now released and is found to stay in the
horizontal position in equilibrium.
(a) What is the direction of the current
n PQ?
(b) Find the magnetic force on the arm
RS.
(c) Find the expression for I in terms of
\( B_{0}, \) a b and \( m \)
Subject: Maths
Tickets numbered 1 to 20 are mixed up
and then a ticket is drawn at random.
What is the probability that the ticket drawn has a number which is a multiple
of 3 or \( 5 ? \)
A \( \cdot \frac{7}{20} \)
в. \( \frac{8}{20} \)
c. \( \frac{6}{20} \)
D. \( \frac{9}{20} \)
Subject: Chemistry
In the hydrolytic equilibrium;
\( \boldsymbol{B}^{+}+\boldsymbol{H}_{2} \boldsymbol{O} \rightleftharpoons \boldsymbol{B} \boldsymbol{O} \boldsymbol{H}+\boldsymbol{H}^{+} \)
\( K_{b}=1 \times 10^{-5} . \) The hydrolysis constant
is:
A \( \cdot 10^{-5} \)
\( ^{5} \)
B . \( 10^{-19} \)
c. \( 10^{-10} \)
D. \( 10^{-9} \)
Subject: Maths
Three shots are fired at a target in
succession. The probabilities of a hit in the first shot is \( \frac{1}{2}, \) in the second \( \frac{2}{3} \) and in the third shot is \( \frac{3}{4}, \) In case of exactly one hit, the probability of destroying the target is \( \frac{1}{3} \) and in the case of exactly two hits \( \frac{7}{11} \) an in the case of three hits is \( 1.0 . \) Find the probability of destroying the target in three shots
\( A \cdot 3 \)
\( \overline{4} \)
B. \( \frac{3}{8} \)
\( c \cdot \frac{5}{8} \)
D. 4
Subject: Chemistry
In which of the following processes the bond order has increased and
paramagnetic character has changed to diamagnetic?
\( \mathbf{A} \cdot N_{2} \rightarrow N_{2}^{+} \)
в. \( N O \rightarrow N O^{+} \)
\( \mathrm{c} \cdot \mathrm{O}_{2} \rightarrow \mathrm{O}_{2}^{2} \)
D. \( O_{2} \rightarrow O_{2}^{+} \)
Subject: Physics
A stone drop from height 'h' reaches to Earth surface in 1 sec. If the same stone
taken to Moon and drop freely then it will reaches from the surface of the
Moon in the time(The 'g' of Moon is \( 1 / 6 \) times of Earth)
A. \( \sqrt{6} \) second
B. 9 second
c. \( \sqrt{3} \) second
D. 6 second
Subject: Maths
Rectangle ABCD is the image of rectangle ABCD after which of the following rotations?
A . A \( 90^{\circ} \) clockwise rotation about the origin
B. A \( 90^{\circ} \) clockwise rotation about the point (1,1)
C. A \( 90^{\circ} \) counterclockwise rotation about the point (1,1)
D. A \( 90^{\circ} \) clockwise rotation about the point (2,1)
Subject: Physics
(a) Explain why, for a charge configuration, the equipotential surface through a point is normal to the electric
field at that point?

Draw a sketch of equipotential surfaces
due to a single charge \( (-q) \) depicting the electric field lines due to the charge.
(b) Obtain an expression for the work done to dissociate the system of
three charges placed at the vertices of an equilateral triangle of side 'a' as shown in the figure.
Subject: Maths
n given figure, AD and CE are two altitudes of \( \triangle A B C \). Prove that
(i) \( \triangle A E F \sim \triangle C D F \)
(ii) \( \triangle A B D \sim \triangle C B E \)
(iii) \( \triangle A E F \sim \triangle A D B \)
(iv) \( \triangle \boldsymbol{F} \boldsymbol{D} \boldsymbol{C} \sim \triangle \boldsymbol{B} \boldsymbol{E} \boldsymbol{C} \)
Subject: Maths
A flooring tile has the shape of a parallelogram whose base is \( 24 \mathrm{cm} \) and
the corresponding height is \( 10 \mathrm{cm} . \) How many such tiles are required to cover a
floor of area \( 1080 m^{2} ? \)
A . 45,000
B. 75,000
c. 40,000
D. 45,00
Subject: Chemistry
For the chemical reaction \( 5 B r^{\ominus}+ \)
\( B r O_{3}^{\ominus}+6 H^{\oplus} \rightarrow 3 B r_{2}+3 H_{2} O \)
Rate \( =k\left[B r^{\ominus}\right]\left[B r O_{3}^{\ominus}\right]\left[H^{\oplus}\right]^{2} \) The
molecularity and order of reaction with
respect to \( \left[B r^{\ominus}\right] \) is:
A .5,1
в. 1,5
\( c .1,1 \)
D. 6,2
Subject: Maths
The smaller area enclosed by \( \boldsymbol{y}=\boldsymbol{f}(\boldsymbol{x}) \)
where \( f(x) \) is polynomial of least degree satisfying \( \left[\lim _{x \rightarrow 0} 1+\frac{f(x)}{x^{3}}\right]^{\frac{1}{x}}=e \)
and the circle \( x^{2}+y^{2}=2 \) above the \( x- \)
axis is
A \( \cdot \frac{\pi}{2}+\frac{3}{5} \)
в. \( \frac{\pi}{2}-\frac{3}{5} \)
c. \( \frac{\pi}{2}-\frac{6}{5} \)
D. None of these
Subject: Maths
If \( \boldsymbol{A} \) is a square matrix such that \( \boldsymbol{A}^{2}= \)
\( I, \) then find the simplified value of \( (A- \)
\( \boldsymbol{I})^{3}+(\boldsymbol{A}+\boldsymbol{I})^{3}-\mathbf{7} \boldsymbol{A} \)
Subject: Chemistry
Acid strength of oxoacids of halogen is
in order:
\( \mathbf{A} \cdot H O F>H O C l>H O B r>H O I \)
B . \( H O I<H O B r<H O C l<H O F \)
\( \mathbf{c} \cdot H O I>H O C l>H O B r>H O F \)
D. \( H O C l>H O B r>H O I>H O F \)
Subject: Chemistry
For the reaction \( \boldsymbol{P} \boldsymbol{C l} \boldsymbol{l}_{5}(\boldsymbol{g}) \rightarrow \boldsymbol{P} \boldsymbol{C l}_{3}(\boldsymbol{g})+ \)
\( \boldsymbol{C l}_{2}(\boldsymbol{g}) \)
\( \mathbf{A} \cdot \Delta H=\triangle E \)
B . \( \triangle H>\triangle E \)
c. \( \triangle H<\triangle E \)
D. None of these
Subject: Biology
Choose the correct combination of
labelling of stomatal apparatus of dicot
and monocot leaves.
A. A-epidermal cells, B-subsidiary cells, C-chloroplast, D-guard cells, E-stomatal aperture
B. A-epidermal cells, B-guard cells, C-chloroplast, Dsubsidiary cells, E-stomatal aperture
C. A-epidermal cells, B-subsidiary cells, C-chloroplast,
D-stomatal cells, E-guard cells
D. A-subsidiary cells, B-epidermal cells, C-chloroplast,
D-stomatal aperture, E-guard cells
E. A-guard cells, B-epidermal cells, C-stomatal aperture, D-subsidiary cells, E-chloroplast
Subject: Chemistry
\( \boldsymbol{K}_{a_{1}}, \boldsymbol{K}_{a_{2}} \) and \( \boldsymbol{K}_{a_{3}} \) values of \( \boldsymbol{H}_{3} \boldsymbol{P} \boldsymbol{O}_{4} \) are
\( 10^{-3}, 10^{-6} \) and \( 10^{-12} \) respectively. If
\( \boldsymbol{K}_{\boldsymbol{w}}\left(\boldsymbol{H}_{2} \boldsymbol{O}\right)=\mathbf{1} \mathbf{0}^{-14}, \) then:
What is \( K_{b} \) is \( H P O_{4}^{-} ? \)
Subject: Physics
(a) Obtain an expression for the mutual
inductance between a long straight
wire and a square loop of side a as
shown in Fig.
(b) Now assume that the straight wire
carries a current of \( 50 \mathrm{A} \) and the loop is moved to the right with a constant velocity, \( v=10 \mathrm{m} / \mathrm{s} \). Calculate the induced emf in the loop at the instant
when \( x=0.2 \mathrm{m} . \) Take \( a=0.1 \mathrm{m} \) and
assume that the loop has a large
resistance.
Subject: Maths
The ratio of two adjacent sides of a
parallelogram is 3: 4 Its perimeter is
\( 105 \mathrm{cm} \) Find its area if altitude
corresponding to the larger is \( 15 \mathrm{cm} \)
в. \( 600 \mathrm{cm}^{2} \)
\( c \cdot 300 c m^{2} \)
D. \( 450 \mathrm{cm}^{2} \)
Subject: Chemistry
Which of the following statement is wrong?
A. The stability of hydrides increases from \( N H_{3} \) to \( B i H_{3} \) in group 15 of the periodic table
B. Nitrogen cannot form \( d \pi-p \pi \) bond
c. single \( N-N \) bond is weaker than the single \( P-P \)
bond
D. \( N_{2} O_{4} \) has two resonance structures
Subject: Chemistry
For which of the following reactions at equilibrium at constant temperature, doubling the volume will cause a shift to the right? This question has multiple correct options
A \( \cdot N_{2} O_{4}(g) \rightleftharpoons 2 N O_{2}(g) \)
в. \( C a C O_{3}(s) \rightleftharpoons C a O(s)+C O_{2}(g) \)
\( \mathbf{c} \cdot 2 C O(g)+O_{2}(g) \rightleftharpoons 2 C O_{2}(g) \)
D. \( N_{2}(g)+O_{2}(g) \rightleftharpoons 2 N O(g) \)
Subject: Physics
Assertion
Yield strength is the stress required to produce a small specific amount of deformation.
Reason
The offset yield strength can be
determined by the stress corresponding
to the intersection of the stress-strain
curve and a line parallel to the elastic line offset by a strain of 0.2 or \( 0.1 \% \)
A. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
B. Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion
C. Assertion is correct but Reason is incorrect
D. Both Assertion and Reason are incorrect
Subject: Chemistry
Two liquids \( X \) and \( Y \) from an ideal
solution. At \( 300 K, \) a vapour pressure of
the solution containing 1 mol of \( X \) and
3 mol of \( Y \) is 550 mm \( H g . \) At the same
temperature, if 1 mol of \( Y \) is further
added to this solution, a vapour
pressure of the solution increased by 10
mm Hg. Vapour pressure ( in mmHg) of
\( X \) and \( Y \) in their pure states will be
respectively:
A. 300 and 400
B. 400 and 600
c. 500 and 600
D. 200 and 300
Subject: Chemistry
If the equilibrium constants of the
following reactions \( 2 A \rightleftharpoons B \) is \( K_{1} \) and
\( B \rightleftharpoons 2 A \) is \( K_{2} \) then:
A \( . K_{1}=2 K_{2} \)
B. \( K_{1}=\frac{1}{K_{2}} \)
c. \( K_{2}=\left(K_{1}\right)^{2} \)
D. \( _{K_{1}=} \frac{1}{K_{2}^{2}} \)
Subject: Maths
The angle made by the line \( \sqrt{\mathbf{3}} \boldsymbol{x}-\boldsymbol{y}+ \)
\( \mathbf{3}=\mathbf{0} \) with the positive direction of \( \mathbf{X} \)
axis is
\( A \cdot 30 \)
B . 45
\( c \cdot 60 \)
D. \( 90^{\circ} \)
Subject: Physics
The number of electrons per second flowing through any cross-section of the wire carrying current of \( 1 A \) is
A \( \cdot 3.12 \times 10^{16} \)
В. \( 1.6 \times 10^{18} \)
c. \( 6.25 \times 10^{16} \)
D . 3.12 \( \times 10^{18} \)
E . \( 6.25 \times 10^{18} \)
Subject: Physics
A large number of particles are placed around the origin, each at a distance \( \boldsymbol{R} \)
from the origin. The distance of the
centre of mass of the system from the origin is:
\( \mathbf{A} \cdot=R \)
в. \( \geq R \)
\( c \cdot>R \)
\( \mathrm{D} \cdot \leq R \)
Subject: Chemistry
Name the reagents used in the
following reactions:
(i) Oxidation of a primary alcohol to carboxylic acid.
(ii) Oxidation of a primary alcohol to aldehyde.
(iii) Bromination of phenol to 2,4,6 tribromophenol.
(iv) Benzyl alcohol to benzoic acid.
(v) Dehydration of propan-2-ol to
propene.
(vi) Butan-2-one to butan-2-ol.
Subject: Physics
Ship \( A \) is travelling with a velocity of
\( 5 k m h^{-1} \) due east. A second ship is
heading \( 30^{\circ} \) east of north. What should be the speed of second ship if it is to remain always due north with respect to the first ship?
A \( \cdot 10 \mathrm{kmh}^{-1} \)
B. \( 9 \mathrm{kmh}^{-1} \)
\( \mathbf{c} \cdot 8 k m h^{-1} \)
D. \( 7 \mathrm{kmh}^{-1} \)
Subject: Chemistry
At \( 25^{\circ} C, \) the vapour pressure of methyl alcohol is 96.0 torr. The mole fraction of
\( C H_{3} O H \) in solution in which the
(partial) vapor pressure of \( \boldsymbol{C} \boldsymbol{H}_{3} \boldsymbol{O H} \) is 23.0 torr at \( 25^{\circ} C \) is \( \frac{x}{y} . \) Find \( y-x \)
Subject: Chemistry
The extent of charge of lead
accumulator is determined by:
\( \mathbf{A} \cdot \) amount of \( P b S O_{4} \) in the battery
B. amount of \( P b O_{2} \) in the battery
C . specific gravity of \( H_{2} S O_{4} \) of the battery
D. amount of \( P b \) in the battery
Subject: Physics
A man of mass \( 60 \mathrm{kg} \), standing on a platform, is executing SHM in a vertical plane. The displacement from mean position is \( y=0.5 \sin (2 \pi t) . \) The
minimum value of frequency ( \( f \) ) for
which the man will feel weightlessness at the highest point is :
A \( \cdot \sqrt{g} / 2 \pi \)
в. \( \sqrt{2 g} / 2 \pi \)
c. \( \sqrt{g / 2 \pi} \)
D. \( \sqrt{3 g} / 2 \pi \)
Subject: Chemistry
The IUPAC name of the complex
\( \left[(\boldsymbol{C O})_{3} \boldsymbol{F e}(\boldsymbol{C O})_{3} \boldsymbol{F e}(\boldsymbol{C O})_{3}\right] \) is:
A. nonacarbonyldiiron (0)
B. tricarbonyliron (0)-m-tricarbonyl iron (0)
c. hexacarbonyliron (0)-m-tricarbonyl iron (0)
D. tri- \( \mu \) -carbonylbis(tricarbonyliron (0))
Subject: Chemistry
Portland cement does not contain:
A. \( C a_{3} A l_{2} O_{6} \)
в. \( C a_{2} \) Si \( O_{3} \)
\( \mathbf{c} \cdot C a_{2} S i O_{4} \)
D. \( C a_{3}\left(P O_{4}\right)_{2} \)
Subject: Chemistry
Assertion
lodination of alkanes is carried out
under reflux conditions in the presence
of reducing agent. Because
Reason
lodination of alkanes take place
explosively.
A. Both Assertion and Reason are correct and the Reason is the correct explanation of the Assertion
B. Both Assertion and Reason are correct but the Reason is not the correct explanation of the Assertion
c. The Assertion is correct but the Reason is incorrect
D. Both Assertion and Reason are incorrect
Subject: Maths
The contrapositive of "if in a triangle
\( A B C, A B=A C, \) then \( \angle B=\angle C^{\prime \prime}, \) is
\( \mathbf{A} \cdot \) If in a triangle \( A B C, \angle B=\angle C, \) then \( A B=A C \)
B. If in a triangle \( A B C, A B \neq A C \), then \( \angle B \neq \angle C \).
C. If in a triangle \( A B C, \angle B \neq \angle C, \) then \( A B \neq A C \).
D. If in a triangle \( A B C, \angle B \neq \angle C, \) then \( A B=A C \).
Subject: Maths
\( \mathbf{f}\left[\begin{array}{ccc}\boldsymbol{x}-\boldsymbol{y} & \mathbf{1} & \boldsymbol{z} \\ \mathbf{2} \boldsymbol{x}-\boldsymbol{y} & \boldsymbol{0} & \boldsymbol{w}\end{array}\right]=\left[\begin{array}{ccc}-\mathbf{1} & \mathbf{1} & \mathbf{4} \\ \mathbf{0} & \mathbf{0} & \mathbf{5}\end{array}\right] \) find
\( \boldsymbol{x}, \boldsymbol{y}, \boldsymbol{z}, \boldsymbol{w} \)
Subject: Maths
Find \( \frac{\boldsymbol{d} \boldsymbol{y}}{\boldsymbol{d} \boldsymbol{x}}, \) when \( \boldsymbol{y}=(\boldsymbol{1}+\boldsymbol{x})\left(\boldsymbol{1}+\boldsymbol{x}^{2}\right)(\boldsymbol{1}+ \)
\( \left.\boldsymbol{x}^{4}\right)\left(\boldsymbol{1}+\boldsymbol{x}^{6}\right) \)
Subject: Chemistry
The energy required to melt 1 g ice is
33J. The number of quanta of radiation of frequency \( 4.67 \times 10^{13} \mathrm{sec}^{-1} \) that
must be absorbed to melt 10 g ice is:
B. \( 3.205 \times 10^{23} \)
c. \( 9.076 \times 10^{2} \)
D. None of the above
Subject: Chemistry
Which of the following aqueous solutions will have maximum freezing point. [Assume dilute solutions]
A. \( C_{6} H_{5} N H_{3} C I \) solution having \( 0.01 m \)
B. \( C a\left(N O_{3}\right)_{2} \) solution having \( 0.005 m \)
C. \( A I\left(N O_{3}\right)_{3} \) solution having \( 0.004 m \)
D. Glucose solution having \( 0.04 \mathrm{m} \)
Subject: Maths
If the set natural numbers, is
partitioned into subsets \( \boldsymbol{S}_{1}= \)
\( \{1\}, S_{2}=\{4,5,6\}, S_{4}=\{7,8,9,10\} \)
The last terms of these groups is \( 1,1+ \) \( \mathbf{2}, \mathbf{1}+\mathbf{2}+\mathbf{3}, \mathbf{1}+\mathbf{2}+\mathbf{3}+\mathbf{4} \ldots \ldots . \) Find the
sum of the elements in the subset \( S_{50} \)
Subject: Chemistry
In the following reactions \( \boldsymbol{M} \boldsymbol{g}+\boldsymbol{a i r} \underset{\rightarrow}{\longrightarrow}(\boldsymbol{A})+(\boldsymbol{E}) \)
\( (A)+H_{2} O \rightarrow(B) C O_{2}(C) \)
\( (\boldsymbol{E})+\boldsymbol{H}_{2} \boldsymbol{O} \rightarrow(\boldsymbol{D})+(\boldsymbol{B}) \)
mole of (B) neutralises 2 moles of HCl.
(A) to (E) are \( (A): M g O(B) \)
\( \boldsymbol{M} \boldsymbol{g}(\boldsymbol{O} \boldsymbol{H})_{2}(\boldsymbol{C}): \boldsymbol{M} \boldsymbol{g} \boldsymbol{C} \boldsymbol{O}_{3}(\boldsymbol{D}) \)
\( \boldsymbol{N} \boldsymbol{H}_{3}(\boldsymbol{E}): \boldsymbol{M} \boldsymbol{g}_{3} \boldsymbol{N}_{2} \)
If true enter \( 1, \) else enter 0