AkshitPareek2004/jee-question-analyzer-data huggingface dataset:
Subject: Chemistry
The structure of compound'X' is:
\( A \)
\[
\mathrm{H}-\underset{\mathrm{O}}{\mathrm{C}}-\mathrm{O}-\mathrm{C}_{2} \mathrm{H}_{5}
\]
B.
\[
\mathrm{CH}_{3}-\mathrm{CH}-\mathrm{CH}_{2}-\mathrm{C}-\mathrm{O}-\mathrm{C}_{2} \mathrm{H}_{5}
\]
\( c \)
\[
\begin{array}{c}
\mathrm{CH}_{3}-\mathrm{C}-\mathrm{O}-\mathrm{C}_{2} \mathrm{H}_{5} \\
\| \\
\mathrm{O}
\end{array}
\]
\( D \)
\[
\mathrm{CH}_{3}-\mathrm{CH}_{2}-\mathrm{O}-\underset{\mathrm{O}}{\|}-\mathrm{CH}_{2}-\mathrm{C}_{2} \mathrm{H}_{5}
\]
Subject: Chemistry
Assertion
\( \left[\boldsymbol{F e}\left(\boldsymbol{H}_{2} \boldsymbol{O}\right)_{6}\right]^{3+} \) is strongly paramagnetic
whereas \( \left[\boldsymbol{F e}(\boldsymbol{C N})_{\boldsymbol{6}}\right]^{3-} \) is weakly
paramagnetic.
Reason
\( \boldsymbol{H}_{2} \boldsymbol{O} \) is a week field ligand and \( \boldsymbol{C} \boldsymbol{N}^{-} \) is
a strong field ligand.
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: Maths
Express the following as a rational number i.e. in the form \( \frac{a}{b} ; \) where \( a, b \in I \) and \( \boldsymbol{b} \neq \mathbf{0} \)
\( \mathbf{0 . 5 6 2 5} \)
A \( \cdot \frac{9}{16} \)
в. \( \frac{9}{14} \)
c. \( \frac{9}{19} \)
D. \( \frac{9}{13} \)
Subject: Biology
Assertion
Monocot stem has collateral open
vascular bundle.
Reason
Open vascular bundle is without
vascular cambium.
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 ray \( O P \) of monochromatic light is
incident on the face \( A B \) of prism
\( A B C D \) near vertex \( B \) at an incident
angle of \( 60^{\circ} \) (see figure). If the refractive
index of the material of the prism is \( \sqrt{3} \) which of the following is (are) correct?
This question has multiple correct options
A. The ray gets totally internally reflected at face \( C D \)
B. The ray comes out through face \( A D \)
c. The angle between the incident ray and the emergent
ray is 90
D. The angle between the incident ray and the emergent ray is \( 120^{\circ} \)
Subject: Chemistry
Tyndall effect is observed when sunlight passes through canopy of a dense forest because:
A. in the forest, mist contains tiny droplets of water which act as particles of colloid dispersed in air
B. in the forest, smog, fog is present which contains droplets of water which act as particles of colloid dispersed in air
c. in the forest, trees leaves contains chloroplast which contains guard cells, which act as particles of colloid dispersed in air
D. all of the above
Subject: Maths
If \( S \) is the circumcentre, \( O \) is the
orthocenter of \( \triangle \boldsymbol{A B C} \), then \( \boldsymbol{S A}+ \)
\( \boldsymbol{S B}+\boldsymbol{S C}= \)
A. \( S O \)
B. 2SO
\( c . O S \)
D. \( 20 S \)
Subject: Physics
The capacity of a parallel plate air capacitor is \( 2 \mu F \) and voltage between the plates is changing at the rate of
\( 3 V / S . \) The displacement current in the capacitor is:
\( \mathbf{A} \cdot 2 \mu F \)
в. \( 3 \mu F \)
c. \( 5 \mu F \)
D. \( 6 \mu F \)
Subject: Biology
This problem is caused only when a
mother has a child with the
phenotype.
A. Unsensitized \( R h^{+}, R h^{-} \)
B. Sensitized \( R h^{-}, R h^{-} \)
C. Unsensitized \( R h^{-}, R h^{+} \)
D. Unsensitized \( R h^{-}, R h^{-} \)
E . Sensitized \( R h^{-}, R h^{+} \)
Subject: Maths
If \( 0<\cos ^{-1} x<1 \) and \( 1+ \)
\( \sin \left(\cos ^{-1} x\right)+\sin ^{2}\left(\cos ^{-1} x\right)+ \)
\( \sin ^{3}\left(\cos ^{-1} x\right)+\ldots x=2 \) then the value
of \( 12 x^{2} \) is
Subject: Physics
Let \( \boldsymbol{E}_{a} \) be the electric field due to a
dipole in its axial plane distant \( \ell \) and \( \boldsymbol{E}_{\boldsymbol{q}} \) be the field in the equatorial plane distant \( l^{1}, \) then the relation between \( E_{a} \)
and \( \boldsymbol{E}_{\boldsymbol{q}} \) will be :
\( \mathbf{A} \cdot E_{a}=4 E_{q} \)
В . \( E_{q}=2 E_{a} \)
\( \mathbf{c} \cdot E_{a}=2 E_{q} \)
D. \( E_{q}=3 E_{a} \)
Subject: Physics
Figure shows a three arm tube in which
a liquid is filled upto levels of height \( l \). It
is now rotated at an angular frequency
\( \omega \) about an axis passing through arm \( B \)
The angular frequency \( \omega \) at which level
of liquid in arm \( B \) becomes zero.
A \( \cdot \sqrt{\frac{2 g}{5 l}} \)
B. \( \sqrt{\frac{2 g}{l}} \)
\( c \cdot \sqrt{\frac{3 g}{l}} \)
D. None of the above
Subject: Maths
The equation of the plane passing through the straight line \( \frac{x-1}{2}= \) \( \frac{\boldsymbol{y}+\mathbf{1}}{\mathbf{- 1}}=\frac{\boldsymbol{z}-\mathbf{3}}{\mathbf{4}} \) and perpendicular to
the plane \( \boldsymbol{x}+\mathbf{2} \boldsymbol{y}+\boldsymbol{z}=\mathbf{1 2} \) is
A. \( 9 x+2 y-5 z+4=0 \)
В. \( 9 x-2 y-5 z+4=0 \)
c. \( 9 x+2 y+5 z+4=0 \)
D. None of these
Subject: Physics
Find the electric potential at an
arbitrary point on the \( x \) axis? \( \left(V_{o}=\frac{\boldsymbol{q}}{4 \pi \epsilon_{o} a}\right) \)
\( ^{\mathrm{A}} \cdot V(x)=V_{o}\left(\frac{1}{\left|\frac{x}{a}-1\right|}-\frac{1}{\left|\frac{x}{a}+1\right|}\right) \)
B. \( V(x)=V_{o}\left(\frac{1}{\left|\frac{x}{a}+1\right|}-\frac{1}{\left|\frac{x}{a}-1\right|}\right) \)
c. \( V(x)=\left(\frac{1}{\left|\frac{x}{a}-1\right|}-\frac{1}{\left|\frac{x}{a}+1\right|}\right) \)
D. \( V(x)=\left(\frac{1}{\left|\frac{x}{a}+1\right|}-\frac{1}{\left|\frac{x}{a}-1\right|}\right) \)
Subject: Physics
Assertion
An emf \( \vec{E} \) is induced in a closed loop
where magnetic flux is varied. The induced \( \vec{E} \) is not a conservative field.
Reason The line integral \( \overrightarrow{\boldsymbol{E}} \cdot \boldsymbol{d l} \) around
the closed loop is nonzero.
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
In a series \( L C R \) circuit \( K=200 \Omega \) and
the voltage and frequency of the main supply are \( 220 V \) and \( 50 H z \)
respectively. On taking out the capacitor from the circuit, the current
leads the voltage by \( 30^{\circ} . \) On taking out the indicator from the circuit the
current leads the voltage by \( 30^{\circ} . \) The power dissipated in the \( L C R \) circuit is :
\( \mathbf{A} \cdot 342 W \)
B. 305 \( W \)
c. \( 209 ~ W \)
D. \( 242 \mathrm{W} \)
Subject: Physics
When a pressure of 100 atmosphere is applied on a spherical ball, then its volume reduces to \( 0.01 \% \). The bulk
modulus of the material of the rubber in
dyne \( / c m^{2} \) is :
\( \mathbf{A} \cdot 10 \times 10^{12} \)
B . \( 100 \times 10^{12} \)
c. \( 1 \times 10^{12} \)
D. \( 1000 \times 10^{12} \)
Subject: Chemistry
Which of the following molecular interactions include not only London dispersion forces but also dipole-dipole
interaction?
A \( \cdot P F_{3}(l) \)
в. \( B F_{3}(l) \)
c. \( \operatorname{LaF}_{3}(l) \)
D. \( \operatorname{sif}_{4}(l) \)
Subject: Physics
Two wires are made of the same
material and have the same volume.
However wire 1 has cross-sectional area
\( A \) and wire 2 has cross-sectional area 3
A. If the length of wire 1 increased by \( \Delta x \) on applying force \( F, \) how much force is
needed to stretch wire 2 by the same
amount?
A \( .4 F \)
в. \( 6 F \)
\( c .9 F \)
D. \( F \)
Subject: Chemistry
Which one of the following products is formed when a mixture of steam,
sulphur dioxide gas and oxygen gas (from air) is passed over dry lumps of common salt, the sodium chloride?
A. \( N a_{2} S O_{3} \)
в. \( C l_{3} \)
\( \mathbf{c} \cdot \operatorname{NaH} S O_{3} \)
D. \( N a_{2} S O_{4} \)
Subject: Maths
In an experiment with 15 observation on \( x, \) the following results were available \( \sum x^{2}=2830, \sum x=170, \) one
observation was that +20 was found to
be wrong and was replaced by the correct value \( 30, \) then the corrected
variance is
A . 188.66
B. 177.33
\( c \cdot 8.33 \)
D. 78.00
Subject: Maths
The two parallel sides of a trapezium
are \( 1.5 m \) and \( 2.5 m \) respectively. If the perpendicular distance between them is 6.5 metres, the area of the trapezium is:
\( \mathbf{A} \cdot 10 m^{2} \)
В. \( 13 m^{2} \)
c. \( 20 m^{2} \)
\( \mathbf{D} \cdot 26 m^{2} \)
Subject: Maths
David wants to invest at most
Rs. 12,000 in bonds \( A \) and \( B \) According to the rule, he has to invest at
least \( R s .2,000 \) in Bond \( A \) and at least
Rs. 4,000 in Bond \( B \). If the rates of
interest on Bonds \( A \) and \( B \) respectively
are \( 8 \% \) and \( 10 \% \) perannum, formulate the problem as L.P.P. and solve it graphically for maximum interest. Also determine the maximum interest
received in a year.
Subject: Physics
If a charged particle goes unaccelerated in a region containing electric and magnetic fields This question has multiple correct options
A. \( \vec{E} \) must be perpendicular to \( \vec{B} \)
B . \( \vec{v} \) must be perpendicular to \( \vec{E} \)
c. \( \vec{v} \) must be perpendicular to \( \vec{B} \)
D. \( E \) must be equal to \( v B \)
Subject: Maths
Which of the following is true regarding the symmetry of the function: \( f(x)= \) \( \boldsymbol{x}^{\boldsymbol{5}}+\boldsymbol{x}^{\boldsymbol{3}}+\boldsymbol{3} \)
A. \( f(x)=c \)
B. Symmetric about x-axis
c. Its an odd function
D. None of these
Subject: Physics
When two resistances \( R_{1} \) and \( R_{2} \) are
connected in series, they consume 12W
power. When they are connected in parallel, they consume 50W power
What is the ratio of the powers of \( \boldsymbol{R}_{1} \)
and \( \boldsymbol{R}_{2} \)
A . \( 1 / 4 \)
B. 4
c. \( 3 / 2 \)
D. 3
Subject: Maths
If a function is everywhere continuous
and differentiable such that \( f^{\prime}(x) \geq 6 \)
for all \( \boldsymbol{x} \epsilon[\mathbf{2}, \mathbf{4}] \) and \( \boldsymbol{f}(\mathbf{2})=-\mathbf{4}, \) then
\( \mathbf{A} \cdot f(4)<8 \)
в. \( f(4) \geq 8 \)
c. \( f(4) \geq 2 \)
D. none of these
Subject: Maths
Consider \( f(x)=[1 x], 1 \leq x \leq 2 \) and \( g(x) \)
\( =f(x)+b \sin \frac{\pi}{2} x, 1 \leq x \leq 2 \) then
which of the following is correct?
A \( \cdot \) Rolles theorem is applicable to both \( f, g \) and \( b=\frac{3}{2} \)
B. LMVT is not applicable to f and Rolles theorem is applicable to g with \( b=\frac{1}{2} \)
c. LMVT is not applicable to fand Rolles theorem is applicable to g with \( b=1 \)
D. Rolles theorem is not applicable to both f, g for any real
Subject: Chemistry
Addition of \( K I \) drop by drop to \( A g N O_{3} \) aqueous solution gives an impure sol of AgI. The impurities needed not to be removed by dialysis is :
A. suspended state of \( A g I \)
B. excess of \( A g N O_{3(a q .)} \)
C. excess of \( K I_{(a q .)} \)
D. excess of \( K N O_{3\left(a_{7}\right)} \)
Subject: Chemistry
A teacher one day pointed out to his students the peculiar fact that water is a unique liquid that freezes exactly at
\( 0^{\circ} \mathrm{C} \) and boils exactly at \( 100^{\circ} \mathrm{C} . \) He
asked the students to find the correct
statement based on this fact.
Which of the statements is true
regarding the above fact?
A. Water dissolves anything however sparingly the dissolution may be
B. Water is a polar molecule.
C. Boiling and freezing temperatures of water were used to define a temperature scale.
D. Liquid water is denser than ice
Subject: Maths
If an \( A . P \) consists of \( n \) terms with first
term \( a \) and \( n^{t h} \) term \( l \) show that the
sum of the \( m^{t h} \) term from the beginning
and the \( m^{t h} \) term from the ends is \( (a+ \)
\( l \)
Subject: Chemistry
Which one of the following order is correct for the bond dissociation
enthalpy of halogen molecules?
A \( \cdot I_{2}>B r_{2}>C l_{2}>F_{2} \)
В \( \cdot C l_{2}>B r_{2}>F_{2}>I_{2} \)
c. \( B r_{2}>I_{2}>F_{2}>C l_{2} \)
D. \( F_{2}>C l_{2}>B r_{2}>I_{2} \)
Subject: Physics
The equation of a simple harmonic motion is \( \boldsymbol{x}=\mathbf{0 . 3 4} \cos (\mathbf{3 0 0 0 t}+\mathbf{0 . 7 4}) \)
where \( x \) and \( t \) are in \( \mathrm{mm} \) and \( \mathrm{sec} \)
respectively. The frequency of the motion is :
A. 3000
B. 3000/2\pi
c. \( 0.74 / 2 \pi \)
D. 3000/ \( \pi \)
Subject: Chemistry
Which of the following is not a general
method of preparation of \( \boldsymbol{H}_{2} \boldsymbol{S} \boldsymbol{O}_{4} ? \)
A. By action of heat on nitric acid and sulphur
B. By passage of chlorine through an aqueous solutions of sulphur dioxide
c. By dissolution of sulphur trioxide in water
D. None of the above
Subject: Biology
Match the enzymes with their
respective substrates and choose the
right one among options given.
Column II
Dipeptides \begin{tabular}{c|c|c} 
& Column I \\
\hline A. & Lipase \\
\hline B. & Nuclease \\
\hline C. & Carboxypeptidase \\
D. & Dipeptidases \\
\hline
\end{tabular} Fats Nucleic
acids Proteins,
peptones
and
proteoses
A. A-(ii), B-(iii), C-(i), D-(iv)
B. A-(iii), B-(iv), C-(ii), D-(i)
C. A-(iii), B-(i), C-(iv), D-(ii)
D. A-(ii), B-(iii), C-(iv), D-(i)
Subject: Chemistry
For the reaction \( \mathbf{H}_{2}(\mathbf{g})+\mathbf{I}_{2}(\mathbf{g}) \rightleftharpoons \)
\( 2 H I(g) \)
\( \mathbf{K}_{\mathbf{c}}=\mathbf{6 6 . 9} \) at \( \mathbf{3 5 0}^{\circ} \mathbf{C} \) and \( \mathbf{K}_{\mathbf{c}}=\mathbf{5 0 . 0} \mathbf{a t} \)
\( 448^{\circ} \mathrm{C} . \) The reaction has:
\( \mathbf{A} \cdot \Delta H=+v e \)
B. \( \Delta H=-v e \)
c. \( \Delta H=Z \) ero
D. \( \Delta H= \) Not found the signs
Subject: Maths
Suppose that \( f \) is differentiable
function with the property \( \boldsymbol{f}(\boldsymbol{x}+\boldsymbol{y})= \)
\( f(x)+f(y)+x^{2} y^{2} \) and
\( \lim _{x \rightarrow 0} \frac{f(x)}{x}=10 \) then \( f^{\prime}(0) \) is equal
to
Subject: Maths
In a circle of diameter \( 10 \mathrm{cm} \) the length of each of the 2 equal and parallel chords is \( 8 \mathrm{cm} \) Then the distance
between these two chords is
A. \( 6 \mathrm{cm} \)
B. 7 \( \mathrm{cm} \)
\( c \cdot 8 \mathrm{cm} \)
D. \( 9 \mathrm{cm} \)
Subject: Chemistry
Formula of microcosmic salt is:
A. \( N a_{2} H P O_{4} \)
в. \( \operatorname{Na}\left(N H_{4}\right) H P O_{4} \)
\( \mathbf{c} \cdot K_{2} H P O_{4} \)
D. \( N a_{2} P O_{4} . K_{2} P O_{4} \)
Subject: Physics
In Young's experiment, the fringe width
was found to be \( 0.4 m m \). If the whole
apparatus is immersed in water of refractive index \( \frac{4}{3}, \) the new fringe width in mm is :
A. 0.25
B. 0.30
\( c \cdot 0.40 \)
D. 2.00
Subject: Chemistry
How would you name the given
compounds? \( \boldsymbol{H}-\stackrel{\boldsymbol{C}}{\boldsymbol{C}}-\stackrel{\boldsymbol{C}}{\boldsymbol{C}}-\stackrel{\boldsymbol{C}}{\boldsymbol{C}}-\stackrel{\boldsymbol{C}}{\mid}_{\boldsymbol{I}} \boldsymbol{H}=\boldsymbol{C} \equiv \boldsymbol{C}-\boldsymbol{H} \)
A. Hexyne
B. Hex-5-yne
c. Hexane
D. Hexene
Subject: Physics
Three identical bodies, each of mass \( m \)
are pushed by a force \( \boldsymbol{F} \) on a frictionless
table a shown in the figure. Then:
A. Net force on \( X \) is \( F \)
B
C. Force applied by \( Y \) on \( Z \) is equal net force on \( X \)
D. Net force on \( Y \) is equal to zero
Subject: Physics
A 250 -Turn rectangular coil of length \( 2.1 \mathrm{cm} \) and width \( 1.25 \mathrm{cmcarries} \) a
current of \( 85 \mu A \) and subjected to a
magnetic field of strength 0.85T. Work
done for rotating the coil by \( 180^{\circ} \)
against the torque is:
B. \( 9.1 \mu J \)
c. \( 4.55 \mu \) J
D. \( 23 \mu J \)
Subject: Chemistry
In which of the following configuration
(s) the value of 'spin only' magnetic moment is 2.84 BM for octahedral
complex:
This question has multiple correct options
A . \( d^{4} \) (in strong field ligand)
B. \( d^{2} \) (in weak field ligand)
c. \( d^{3} \) (in weak asa well as in strong field ligand)
D. \( d^{5} \) (in strong field ligan)
E \( \cdot d^{8} \) (in weak field ligand)
Subject: Chemistry
\( \mathbf{X} \mathbf{e} \mathbf{F}_{4} \) on partial hydrolysis produces
A. \( \mathrm{XeF}_{4} \)
в. \( \mathrm{XeF}_{5} \)
c. \( \mathrm{xeOF}_{2} \)
D. \( \mathrm{xeO}_{3} \)
Subject: Maths
The distribution below gives the weights of 30 students of a class. Find
the median weight of the students
\( \begin{array}{lllll}\text { weight } & 40- & 45- & 50- & 55- \\ (\text { in } \mathrm{kg}) & 45 & 50 & 55 & 60\end{array} \)
8 6 No. of
students \( \quad 2 \) \begin{tabular}{ll|l|l} 
Weight tin & 60- & 65- & 70- \\
Kg) & 65 & 70 & 75 \\
Ma of & & &
\end{tabular} No. of
students 3 If
A .46 .67 g
в. 12.12 кв
\( c .75 .12 \mathrm{kg} \)
D. \( 56.67 \mathrm{kg} \)
Subject: Maths
The compound statement, "If you won
the race; then you did not run faster
than others" is equivalent to
A. "If you won the race, then you ran faster than others""
B. "If you ran faster than others, then you won the race""
C. "If you did not win the race, then you did not run faster than others""
D. "If you ran faster than others, then you did not win the race"
Subject: Physics
If two vectors \( 2 \hat{i}+3 \hat{j}+3 \hat{k} \) and \( -4 \hat{i}- \) \( 6 \hat{j}+\lambda \hat{k} \) are parallel to each other then
value of \( \lambda \) is
A . -6
B. -
\( c .-3 \)
D. -4
Subject: Maths
In the figure(not drawn to scale), ABCD
is a rhombus, ABE is a straight line.
Find \( \angle \mathrm{DBE} \)
A . 150
B. \( 152^{\circ} \)
\( \mathbf{c} \cdot 153^{\circ} \)
D. \( 156^{\circ} \)
Subject: Physics
To measure the field \( B \) between the
poles of an electromagnet, a small test loop of area \( 1 \mathrm{cm}^{2} \), resistance \( 10 \Omega \) and 20 turns is pulled out of it. A galvanometer shows that a total charge of \( 2 \mu C \) passed through the loop. The
value of \( B \) is
A . \( 0.001 T \)
в. \( 0.01 T \)
\( c .0 .17 \)
D. \( 1.0 T \)
Subject: Biology
Read the given statements and select
the correct option.
Statement 1: Glycolysis occurs in mitochondrial matrix.
Statement 2: Kerbs' cycle occurs on
cristae of mitochondria.
A. Both statements 1 and 2 are correct
B. Statement 1 is correct but statement 2 incorrect
c. statement 1 is incorrect but statement 2 correct
D. Both statements 1 and 2 are incorrect
Subject: Physics
The work done in placing a charge of \( 8 \times 10^{-18} \) coulomb on a condenser of
capacity 100 micro-farad is:
A \( \cdot 16 \times 10^{-32} \) joule
B. \( 3.2 \times 10^{-26} \) joule
C \( \cdot 4 \times 10^{-10} \) joule
D. \( 32 \times 10^{-32} \) joule
Subject: Maths
Let \( p, q, r \epsilon R^{+} \) and \( 27 p q r \geq(p+q+r)^{3} \)
and \( 3 p+4 q+5 r=12 \) then \( p^{3}+q^{4}+ \)
\( r^{5} \) is equal to
\( A \cdot 3 \)
B. 6
\( c \cdot 2 \)
\( D \)
Subject: Maths
Prove that:
\[
\left|\begin{array}{ccc}
\boldsymbol{a}-\boldsymbol{b}-\boldsymbol{c} & \boldsymbol{2} \boldsymbol{a} & \boldsymbol{2} \boldsymbol{a} \\
\boldsymbol{2} \boldsymbol{b} & \boldsymbol{b}-\boldsymbol{c}-\boldsymbol{a} & \boldsymbol{2} \boldsymbol{b} \\
\boldsymbol{2} \boldsymbol{c} & \boldsymbol{2} \boldsymbol{c} & \boldsymbol{c}-\boldsymbol{a}-\boldsymbol{b}
\end{array}\right|=
\]
\( (a+b+c)^{3} \)
Subject: Chemistry
In which of the following reactions does
\( O_{2} \) acts as an oxidant?
This question has multiple correct options
\( \mathbf{A} \cdot 3 O_{2} \rightarrow 2 O_{3} \)
B. \( 2 F_{2}+O_{2} \rightarrow 2 F_{2} \) O
c. \( N_{2}+O_{2} \rightarrow 2 N O \)
D. \( C+O_{2} \rightarrow C O_{2} \)
Subject: Physics
Two circular coils \( P \) and \( Q \) are made
from similar wire but radius of \( Q \) is
twice that of \( P \). Relation between the
values of potential difference across them so that the magnetic induction at their centers may be the
same is :
\( \mathbf{A} \cdot V_{Q}=2 V_{P} \)
B. \( V_{Q}=3 V_{P} \)
\( \mathbf{c} \cdot V_{Q}=4 V_{P} \)
D. \( v_{Q}=\frac{1}{4} V_{P} \)
Subject: Physics
The breaking strength of the string connecting wall an block B is 175 N Find the maximum magnitude of weight of block A for which the system will be stationary The block B is weighs 700 N (neglect friction)
\( \left(g=10 m / s^{2}\right) \)
A \( \cdot \frac{175}{\sqrt{3}} N \)
B. \( \frac{175 \sqrt{3}}{2} N \)
\( c \cdot 175 \sqrt{3} N \)
\( N \)
D. None of thes
Subject: Chemistry
Which is the correct structural formula
for terylene?
\( A \)
B.
\( c \)
\[
\left.\left[\begin{array}{cc}
c & -\bigcirc \\
\| & \\
0 &
\end{array}\right)-\begin{array}{c}
c-o-c H_{2}-c H_{2}-o \\
\| \\
0
\end{array}\right]_{n}
\]
D.
\[
\left[\begin{array}{l}
\mathrm{c} \\
\| \\
\mathrm{o}
\end{array}\right] \underset{\mathrm{o}}{\mathrm{d}} \underset{\mathrm{n}}{\mathrm{d}}-\mathrm{cH}_{2}-\mathrm{o}-\mathrm{cH}_{2}-\mathrm{o}
\]
Subject: Physics
In the figure shown \( A B C \) is a uniform
wire. If centre of mass of wire lies vertically below point \( A, \) then \( \frac{B C}{A B} \) is
close to:
This question has multiple correct options
\( \mathbf{A} \cdot 1.85 \)
B. 1.5
c. 1.37
D. 3
Subject: Chemistry
A certain amount of potassium chlorate on thermal decomposition gives oxygen which is sufficient for the combustion
of ethane. When the products are
cooled, the volume of the gaseous product is \( \mathbf{v} \) ml. Identify the correct sequence of steps for the calculation of the mass of potassium chlorate
(a) Calculation of oxygen required for the combustion of ethane.
(b) Calculation of the amount of the
ethane subjected to combustion from the volume of gaseous product.
(c) Calculation of potassium chlorate which can give the required amount of
oxygen.
(d) Identification of the products of combustion of ethane and the product left after the cooling of products.
\( A \cdot a b c d \)
B. \( d \) b a c
\( c . b \) c a d
\( D \). \( d a c b \)
Subject: Chemistry
The enthalpy of formation of \( N H_{3}(g) \) is
\( -46.2 \mathrm{kJ} \mathrm{mol}^{-1} . \) The heat of the following
reaction is:
\( 2 N H_{3}(g) \rightarrow N_{2}(g)+3 H_{2}(g) \)
B . \( +46.2 \mathrm{kJ} \)
c. \( -92.4 \mathrm{kJ} \)
D. \( +92.4 \mathrm{kJ} \)
Subject: Maths
If \( S=\left[\begin{array}{ll}6 & -8 \\ 2 & 10\end{array}\right]=P+Q, \) where \( P \) is \( a \)
symmetric \& Q is a skew -symmetric matrix, then \( Q= \)
A. \( \left[\begin{array}{cc}0 & 5 \\ -5 & 0\end{array}\right] \)
В. \( \left[\begin{array}{cc}0 & -5 \\ 5 & 0\end{array}\right] \)
C \( \cdot\left[\begin{array}{cc}0 & 8 \\ -8 & 0\end{array}\right] \)
D. \( \left[\begin{array}{cc}0 & 6 \\ -6 & 0\end{array}\right] \)
Subject: Maths
s is the sum to infinite terms of a
G.P. whose first term is 1. Then the sum
of \( n \) term is
A \( \cdot s\left(1-\left(1-\frac{1}{s}\right)^{n}\right) \)
B \( \cdot \frac{1}{s}\left(1-\left(1-\frac{1}{s}\right)^{n}\right) \)
c. \( _{1-}\left(1-\frac{1}{s}\right)^{n} \)
D. \( 1+\left(1-\frac{1}{s}\right)^{n} \)
Subject: Physics
A car moves at a constant speed on a road as sown in figure. The normal force
by the road on the car is NA and NB
when it is at the points \( A \) and \( B \)
respectively.
\( \mathbf{A} \cdot N_{A}=N_{B} \)
B. \( N_{A}>N_{B} \)
\( \mathbf{c} \cdot N_{A}<N_{B} \)
D. Insufficient information to decide the relation of \( N_{A} \)
and \( N_{B} \)
Subject: Chemistry
A solution contains \( 20 \% \) solute by
weight at \( 60^{\circ} \mathrm{C} \). Whencooled to \( 30^{\circ} \mathrm{C} \)
the solution contains \( 10 \% \) solute by
weight. When \( 45 g \) solution is cooled
from \( 60^{\circ} \mathrm{C} \) to \( 30^{\circ} \mathrm{C} \), the mass of solute
deposited is:
Subject: Chemistry
mole \( A_{X} B_{Y} \) when added to \( 1.08 \mathrm{kg} \) of
water, lowers its vapour pressure by 35 torr to 700 torr. If further 1184 g of methanol is added, then the vapour
pressure increase by 37 torr. Consider
only few vapors are formed, and \( \boldsymbol{A}_{\boldsymbol{X}} \boldsymbol{B}_{\boldsymbol{Y}} \)
is a non volatile solute. What is the
value of a if the vapour pressure of pure methanol is \( a \times 10^{2} \) torr.