AkshitPareek2004/jee-question-analyzer-data huggingface dataset:
Subject: Chemistry
What is the main principle of sulphuric
acid production by lead chamber
process?
A. Moist \( S \) in presence of nitrogenous oxides (active catalyst) is oxidized to sulphur trioxide which is oxidised to sulphuric acid
B. Moist \( S O_{2} \) in presence of nitrogenous oxides is oxidized to sulphur monoxide which reacts water to produce sulphuric acid
C. Moist \( S \) in presence of nitrogenous oxides is oxidized to sulphur trioxide which reacts water to produce sulphuric acid
D. Moist \( S O_{2} \) in presence of nitrogenous oxides is oxidized to sulphur trioxide which reacts water to produce sulphuric acid
Subject: Physics
are rixed at separatıon or \( \boldsymbol{a} \) trom eacn
other as shown. The area of each plate is
A. Plate 1 is given charge \( +Q \) while
plate 2 and 3 are neutral and are
connected to each other through coil of inductances \( L \) and switch \( S . \) If
resistance of all connected wires is
neglected the maximum current flow, through coil after closing switch is
\( \left(\boldsymbol{C}=\varepsilon_{0} \boldsymbol{A} / \boldsymbol{d}\right) \) (neglect fringe effect)
A \( \cdot \frac{Q_{0}}{\sqrt{L C}} \)
в. \( \frac{Q_{0}}{\sqrt{2 L C}} \)
c. \( \frac{2 Q_{0}}{\sqrt{L C}} \)
D. \( \frac{Q_{0}}{2 \sqrt{L C}} \)
Subject: Maths
The sum of the squares of sine of the
angles made by the line \( A B \) with
\( \boldsymbol{O} \boldsymbol{X}, \boldsymbol{O} \boldsymbol{Y}, \boldsymbol{O} \boldsymbol{Z} \) where \( \boldsymbol{O} \) is the origin is
A . 1
B . 2
\( c \cdot-1 \)
D. 3
Subject: Chemistry
\( 2 S O_{2}+O_{2} \rightarrow 2 S O_{3} \)
Rate of formation of \( \boldsymbol{S} \boldsymbol{O}_{3} \) according to
the reaction is \( 1.6 \times 10^{-3} \mathrm{kg} \) min \( ^{-1} \)
Hence rate at which \( S O_{2} \) reacts is:
A \( \cdot 1.6 \times 10^{-3} \mathrm{kg} \min ^{-1} \)
B. \( 8.0 \times 10^{-4} \mathrm{kg} \min ^{-1} \)
c. \( 3.2 \times 10^{-3} \mathrm{kg} \min ^{-1} \)
D. \( 1.28 \times 10^{-3} \) kg \( \min ^{-1} \)
Subject: Maths
Construct a quadrilateral \( A B C D, \) when
Angle \( \boldsymbol{A}=\mathbf{9 0}^{\circ} \boldsymbol{A B}=\mathbf{4 . 6} \mathrm{cm}, \boldsymbol{B D}=\mathbf{6 . 4} \)
\( \mathrm{cm}, A C=6 \mathrm{cm} \) and \( C D=4.2 \mathrm{cm} \)
Subject: Chemistry
Statement 1: Nylon fibres are stronger than terylene fibres. Statement 2: Intermolecular forces of
attraction in terylene are H-bonding.
A. Statement 1 is true; statement 2 is true; statement 2 is the correct explanation of statement
B. Statement 1 is true; statement 2 is true; statement 2 is not the correct explanation of statement
c. Statement 1 is true; statement 2 is false
D. Statement 1 is false; statement 2 is true
Subject: Chemistry
Metallurgical process of zinc involves
roasting of zinc sulphide followed by reduction. Metallic zinc distills over as
it is volatile and impurities like \( \mathrm{Cu}, \mathrm{Pd} \) and Fe gets condensed. The crude metal obtained is called spelter, which may be purified by:
This question has multiple correct options
A . electrolysis process
B. fractional distillation
c. polling
D. heating with iodine
Subject: Maths
If \( \boldsymbol{A}=\left[\begin{array}{ll}2 & 3 \\ 5 & 7\end{array}\right], B=\left[\begin{array}{cc}0 & 4 \\ -1 & 7\end{array}\right], C= \)
\( \left[\begin{array}{cc}1 & 0 \\ -1 & 4\end{array}\right], \) find \( A C+B^{2}-10 C \)
Subject: Physics
In Fig, initially the capacitor is charged
to a potential of \( 5 \mathrm{V} \) and then connected
to position across the inductor at
position 2. The maximum current
flowing in the LC circuit when the
capacitor is connected across the
inductor is :
\( \mathbf{A} \cdot 10 A \)
B. \( 20 A \)
c. \( 30 A \)
D. None of these
Subject: Chemistry
The reaction which does not liberate
hydrogen is:
This question has multiple correct options
A. \( A l+N a O H \rightarrow \) conc
B. \( C+N a O H \rightarrow \) molten
\( \mathbf{c} \cdot F_{2}+N a O H \rightarrow c o n c \)
D. \( Z n+N a O H \rightarrow a q \)
Subject: Chemistry
At \( 25^{0} C \) a solution containing 0.2 g of polyisobutene in \( 100 \mathrm{mL} \) of benzene
developed a rise of \( 2.4 \mathrm{mm} \) at osmotic equilibrium. Calculate the molecular weight of polyisobutene if the density of solution is \( 0.88 \mathrm{g} / \mathrm{mL} \)
Subject: Chemistry
Assertion
The reaction of alcohols with \( S O C l_{2} \) is
catalysed by the presence of a tertiary
\( \operatorname{amine}\left(\boldsymbol{R}_{3} \boldsymbol{N}\right) \)
Reason
Tertiary amine promote the reaction by reacting with the by-product \( \boldsymbol{H} \boldsymbol{C l} \)
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
The given plane figure is to be coloured.
What will be the expenditure at the rate
of \( \boldsymbol{R} \boldsymbol{s} 15 \) per \( \boldsymbol{m}^{2} ? \)
A . \( R s 450 \)
B. \( R s 480 \)
c. \( R s 570 \)
D. Rs780
Subject: Maths
Prove the following identitie:
\[
\left|\begin{array}{ccc}
\boldsymbol{a}+\boldsymbol{b}+\mathbf{2} \boldsymbol{c} & \boldsymbol{a} & \boldsymbol{b} \\
\boldsymbol{c} & \boldsymbol{b}+\boldsymbol{c}+\mathbf{2} \boldsymbol{a} & \boldsymbol{b} \\
\boldsymbol{c} & \boldsymbol{a} & \boldsymbol{c}+\boldsymbol{a}+\boldsymbol{2} \boldsymbol{b}
\end{array}\right|=
\]
\( 2(a+b+c)^{3} \)
Subject: Chemistry
Which of the following is the correct relation between solubility and
solubility product of \( M X_{4} ? \)
\( ^{\mathrm{A}} S=\left[\frac{K_{s p}}{256}\right]^{1 / 5} \)
B. \( S=\left[128 K_{s p}\right]^{1 / 4} \)
\( \mathbf{c} \cdot S=\left[256 K_{s p}\right]^{1 / 5} \)
\( ^{\mathrm{D}} S=\left[\frac{K_{s p}}{128}\right]^{1 / 4} \)
Subject: Maths
If \( (3-2 x) \) and \( (5 x+8) \) are factors of
\( \left(-10 x^{2}+h x-k\right), \) then the values of \( h \)
and \( k \) are respectively
A. -1 and 24
B. 1 and 24
c. -1 and -24
D. 1 and -24
Subject: Chemistry
Which of the following is not correctly matched?
A \( \cdot P C l_{5}-s p^{3} d \) hybridisation
B . \( P C l_{3}-s p^{3} \) hybridisation
c. \( P C l_{5} \) (solid) \( -\left[P t C l_{4}\right]^{+}+\left[P t C l_{6}\right]^{-} \)
D. \( P C l_{5} \) - brownish powder
Subject: Physics
A \( 400 \Omega \) resistor and \( 6 \mu F \)
capacitor are connected in parallel to a source of \( V_{r m s}=220 V \)
and angular frequency 360 rad \( / s \)
Find the current in the resistor
and capacitor.
A. 0.55 A 0.475 A
B. 0.65 A , 0.726 A
c. 0.55 А, 0.176 А
D. none of these
Subject: Chemistry
For the redox reaction:
\( \boldsymbol{x} \boldsymbol{M} \boldsymbol{n} \boldsymbol{O}_{4}^{-}+\boldsymbol{y} \boldsymbol{H}_{2} \boldsymbol{C}_{2} \boldsymbol{O}_{4}+\boldsymbol{z} \boldsymbol{H}^{+} \rightarrow \)
\( \boldsymbol{m} \boldsymbol{M} \boldsymbol{n}^{2+}+\boldsymbol{n} \boldsymbol{C} \boldsymbol{O}_{2}+\boldsymbol{p} \boldsymbol{H}_{2} \boldsymbol{O} \)
The values of \( x, y, m \) and \( n \) are:
A. 10,2,5,2
В. 2,5,2,10
c. 6,4,2,5
D. 3,5,2,10
Subject: Physics
There are four large parallel conducting
plates each of Area A, placed parallel to
each other. Plates 1,2,3,4 are given
charges equal to \( \boldsymbol{q}_{1}, \boldsymbol{q}_{2}, \boldsymbol{q}_{3} \) and \( \boldsymbol{q}_{4} \)
respectively:
This question has multiple correct options
A. Charge appearing on the left hand side of plate 1 will be \( \frac{q_{1}+q_{2}+q_{3}+q_{4}}{2} \)
B. Electric field intensity at the point \( P \), towards right, will be \( \frac{q_{1}+q_{2}-q_{3}-q_{4}}{2 A \varepsilon_{0}} \)
C. Electric field intensity at the point \( Q \), towards right, will be \( \frac{q_{1}-q_{2}+q_{3}+q_{4}}{2 \varepsilon_{0}} \)
D. Electric field at P will be equal to that at Q, for any
values of \( q_{1}, q_{2}, q_{3} \) and \( q_{4} \)
Subject: Chemistry
In corrosion of iron:
A. an electrochemical reaction (galvanic cell) is formed in which Fe acts as anode and cathode is where \( O_{2} \) is
reduced
B. electrons flow from anode to cathode through the metal while ions flow through the waterdroplets
C. dissolved \( O_{2} \) oxidises \( F e^{2+} \) to \( F e^{3+} \) before it is
deposited as rust \( \left(\mathrm{Fe}_{2} \mathrm{O}_{3} \cdot \mathrm{H}_{2} \mathrm{O}\right) \)
D. all of the above take place
Subject: Physics
A child running a temperature of \( 101^{0} F \) is given an antipyrin (i.e. a medicine
that lowers fever ) which causes an
increases in the rate of evaporation of sweat from his body. If the fever is
brought down to \( 98^{\circ} F \) in 20 min, what is the average rate of extra evaporation caused, by the drug. Assume the evaporation mechanism to be the only way by which heat is lost. The mass of
the child is 30 kg. The specific heat of human body is approximately the same as that of water and latent heat of
evaporation of water at that
temperature is about 580 cal \( g^{-1} \)
Subject: Chemistry
m-bromotoluene is prepared by:
This question has multiple correct options
A. bromination of toluene
B. Friedel Craft's reaction of bromobenzene with \( C H_{3} C l \)
C. bromination of nitrobenzene and subsequent replacement of \( -N O_{2} \) group with methyl group
D. bromination of aceto-p-toluidine followed by hydrolysis and deamination
Subject: Physics
Assertion
Statement-1: Echo is produced when
sound is incident on hard and polished
surface.
Reason
Statement-2: Sound energy can be totally reflected by objects with soft and loose texture.
A. Both Statements-1 and 2 are true and Statement-2 is the correct explanation of Statement- 1
B. Both Statements-1 and 2 are true but Statement-2 is not the correct explanation of Statement- 1
c. Statement-1 is true and Statement-2 is false
D. Both Statements-1 and 2 are false
Subject: Maths
If \( \frac{\boldsymbol{a}}{\boldsymbol{b}}=\frac{\boldsymbol{c}}{\boldsymbol{d}}=\frac{\boldsymbol{e}}{\boldsymbol{f}} \) and
\( \frac{2 a^{4} b^{2}+3 a^{2} c^{2}-5 e^{4} f}{2 b^{6}+3 b^{2} d^{2}-5 f^{5}}=\left(\frac{a}{b}\right)^{n} \) then
the value if \( n \) is
\( A \)
B. 2
\( c \cdot 3 \)
\( D \)
Subject: Biology
\( \theta \) toppr
Q Type your question
was isolated from the intestinal lining of a calf. Assays were undertaken to evaluate the activity of the enzyme sample. The substrate of lactase is the
disaccharide lactose. Lactase breaks a
lactose molecule in two, producing a glucose molecule and a galactose molecule. Two assays were carried out.
Assay
Lactose \( \begin{array}{llll}\text { concentration } & 15 & 15 & 15\end{array} \)
(\% w/v)
concentration of enzyme \( \operatorname{sample(s一u/v)} \)
Reaction rate u moleglucose \( \quad \) o \( \quad \) 25 \( \quad \) 50 \( s e c^{-1} m L^{-1} \)
Assay 2
Lactose \( \begin{array}{llll}\text { concentration } & \text { o } & \text { 5 } & \text { 15 }\end{array} \) (\% w/v)
concentra of enzyme \( \operatorname{sample}(\% v / v v \)
Reaction rate \mu mole glucose \( \quad \) o \( \quad 15 \quad \) 25 \( \sec ^{-1} m L^{-1} \)
What are the variables in each of the
two assays?
A. Assay1- Lactose concentration Assay 2 - concentration of enzyme sample
B. Assay 1- concentration of enzyme sample Assay 2 - Lactose concentration
c. Assay 1 - Lactose concentration Assay 2 - Lactose concentration
D. Assay 1- concentration of enzyme sample Assay 2- -concentration of enzyme sample
Subject: Physics
The space between the plates of a parallel plate capacitor is filled with a dielectric' whose 'dielectric constant'
varies with distance as per the relation,
\( \boldsymbol{K}(\boldsymbol{x})=\boldsymbol{K}_{o}+\boldsymbol{\lambda} \boldsymbol{x}(\boldsymbol{\lambda}=\boldsymbol{a} \text { constant }) \) The
capacitance \( C, \) of this capacitor, would be related to its 'vacuum' capacitance
\( C_{o} \) as per the relation:
\( ^{\mathbf{A}} \cdot c=\frac{\lambda d}{\ln \left(1+k_{o} \lambda d\right)} C_{o} \)
B. \( c=\frac{\lambda}{d \cdot \ln \left(1+k_{o} \lambda d\right)} C_{o} \)
\( ^{\mathrm{c}} \cdot_{C}=\frac{\lambda d}{\ln \left(1+\lambda d / K_{o}\right)} C_{o} \)
D. \( c=\frac{\lambda}{d \cdot \ln \left(1+k_{o} / \lambda d\right)} C_{o} \)
Subject: Physics
A hammer weighing \( 3 \mathrm{kg}, \) moving with a velocity of \( 10 \mathrm{m} / \mathrm{s}, \) strikes against the head of a spike and drives it into a block of wood. If the hammer comes to rest in
\( 0.025 s, \) the impulse associated with the ball will be
A. 30 N s
B. -30 N s
c. \( 15 \mathrm{N} \) s
D. -15 N s
Subject: Maths
Consider the line \( x=\sqrt{3} y \) and the
circle \( x^{2}+y^{2}=4 \)
What is the area of the region in the first quadrant enclosed by the \( x \) -axis, the line \( x=\sqrt{3} y \) and the circle?
A \( \cdot \frac{\pi}{3} \)
в.
\( ^{C} \cdot \frac{\pi}{3}-\frac{\sqrt{3}}{2} \)
D. None of the above
Subject: Physics
A boat at anchor is rocked by a wave whose crests are 100 m apart and
whose velocity is \( 25 m s^{-1} \).how often does the crest reach the boat?
A . \( 2500 s \)
B. \( 1500 s \)
c. \( 4.0 s \)
D. \( 0.25 s \)
Subject: Physics
Force constants of two wires \( A \) and \( B \) of
the same material are \( K \) and \( 2 K \)
respectively. If two wires are stretched equally, then the ratio of work done in stretching \( \left(\frac{W_{A}}{W_{B}}\right) \) is:
A \( \cdot \frac{1}{2} \)
B. \( \frac{3}{2} \)
\( c \cdot \frac{1}{4} \)
D.
Subject: Chemistry
Assertion: A is very dilute acidic
solution of \( C d^{2+} \) and \( N i^{2+} \) gives a
yellow precipitate of CdS on passing hydrogen sulphide. Reason: Solubility product of CdS is more than that of NiS.
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
E. Both Assertion and Reason are incorrect
Subject: Maths
Find the value of \( x \) if
\( \left|\begin{array}{ccc}\mathbf{3} & \mathbf{4} & \mathbf{1} \\ \mathbf{0} & \boldsymbol{x} & \mathbf{8} \\ \mathbf{3} & \mathbf{- 1} & \mathbf{4}\end{array}\right|=\mathbf{0} \)
Subject: Chemistry
The decomposition of \( N H_{3} \) gas on a
heated tungsten surface gave the following results:
Initial
pressure \( \quad 65 \quad 105 \) (mm of \( \boldsymbol{H} \boldsymbol{g} \)
Half-life
\( \begin{array}{ll}290 & x=670\end{array} \)
\( (\mathrm{sec}) \)
Calculate approximately the values of \( x \)
and \( y \)
Subject: Physics
A projectile is fired horizontally with a speed of \( 98 m s^{-1} \) from the top of a hill
\( 490 m \) high. Find the magnitude of
vertical velocity with which the projectile hits the ground. (Take \( \boldsymbol{g}= \)
\( \left.9.8 m / s^{2}\right) \)
A \( \cdot 98 m s^{-1} \)
B. \( 40 \mathrm{ms}^{-1} \)
c. \( 116 \mathrm{ms}^{-1} \)
D. \( 196 \mathrm{ms}^{-1} \)
Subject: Maths
If \( I_{n}=\int_{0}^{\pi / 4} \tan ^{n} d x, \) then
\( \frac{1}{I_{2}+I_{4}} \frac{1}{I_{3}+I_{5}} \frac{1}{I_{4}+I_{6}} \) is:
A. A.P
B. G.P.
c. н.P.
D. None of these
Subject: Maths
Answer the following question in one
word or one sentence or as per exact
requirement of the question. If \( \boldsymbol{f}(\boldsymbol{x})=|\boldsymbol{x}|+|\boldsymbol{x}-\mathbf{1}|, \) write the value of
\( \frac{\boldsymbol{d}}{\boldsymbol{d} \boldsymbol{x}}(\boldsymbol{f}(\boldsymbol{x})) \)
Subject: Physics
Assertion
A balloon filled with hydrogen will fall with acceleration \( \frac{\boldsymbol{g}}{\boldsymbol{6}} \) on the moon.
Reason
Moon has no atmosphere.
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
Consider the integral \( \boldsymbol{I}= \) \( \int_{0}^{\pi} \ln (\sin x) d x . \) What is \( \int_{0}^{\frac{\pi}{2}} \ln \)
\( (\sin x) d x \) equal to?
A . \( 4 I \)
B. 2I \( I \)
c. \( I \)
D. \( \frac{I}{2} \)
Subject: Maths
Calculate the area of a parallelogram
with a base of \( 12 \mathrm{m} \) and height of \( 5 \mathrm{m} \)
\( \mathbf{A} \cdot 59 m^{2} \)
в. \( 60 m^{2} \)
\( \mathbf{c} \cdot 61 m^{2} \)
D. 62 \( m^{2} \)
Subject: Chemistry
Select the correct statement:
This question has multiple correct options
A. Chelation effect is maximum for five and six
membered rings
B. Greater the charge on the central metal cation, greater the value of \( \Delta(\mathrm{CFSE}) \)
C. In complex ion \( \left[\mathrm{CoF}_{6}\right]^{3-}, F^{-} \) is a weak field ligand, so that \( \Delta_{\text {oct}}<P \) (Pairing energy) and it is low spin
complex.
D. \( \left[\operatorname{CoCl}_{2}\left(N H_{3}\right)_{2}(e n)\right]^{\oplus} \) complex ion will have four different isomers.
Subject: Physics
\( \boldsymbol{n} \) small balls each of mass \( \boldsymbol{m} \) impinge elastically each second on a surface
with velocity \( v \). The force experienced by
the surface will be :
A \( \cdot \frac{1}{2} m n v \)
B. \( 2 m n v \)
c. \( m n v \)
D. \( 4 m n v \)
Subject: Maths
If \( z=x+i y \) is a complex number such
that \( \bar{z}^{\frac{1}{3}}=a+i b, \) then the value of \( \frac{1}{a^{2}+b^{2}}\left(\frac{x}{a}+\frac{y}{b}\right)= \)
A . -1
B. -
\( c \cdot 0 \)
D.
Subject: Maths
In the given circle \( A B C D, O \) is the centre
and \( \angle B D C=42^{\circ} . \) The \( \angle A C B \) is equal to
A \( \cdot 42^{\circ} \)
B. \( 45^{\circ} \)
\( c \cdot 48^{\circ} \)
\( D \cdot 60 \)
Subject: Maths
Find the inverse of the following matrix, using elementary transformations:
\( \boldsymbol{A}=\left[\begin{array}{lll}\mathbf{2} & \mathbf{3} & \mathbf{1} \\ \mathbf{2} & \mathbf{4} & \mathbf{1} \\ \mathbf{3} & \mathbf{7} & \mathbf{2}\end{array}\right] \)
Subject: Chemistry
\( 10 g \) fairly concentrated solution of \( \boldsymbol{C u} \boldsymbol{S O}_{4} \) is electrolysed using \( \mathbf{0 . 0 1} \)
faraday of electricity. Calculate the mass of the resulting solution.
A. \( 7.6025 g \)
в. \( 9.6025 g \)
c. \( 6.6025 g \)
D. \( 77.6025 g \)
Subject: Maths
f \( \boldsymbol{m}(\boldsymbol{a} \boldsymbol{r} \boldsymbol{c} \boldsymbol{B} \boldsymbol{C})=\boldsymbol{8} \boldsymbol{0}^{o}, \) find \( \boldsymbol{m}(\boldsymbol{a} \boldsymbol{r} \boldsymbol{c} \boldsymbol{C} \boldsymbol{D}) \)
A \( \cdot 40^{\circ} \)
B. \( 80^{\circ} \)
\( c \cdot 120^{\circ} \)
D. \( 140^{\circ} \)
Subject: Maths
The vector \( \overline{O P}=\hat{i}+2 \hat{j}+2 \hat{k} \) turns
through a right angle passing through the positive \( x \) -axis on the way. Find the vector in its new position.
A \( \cdot \frac{4}{\sqrt{2}} \hat{i}-\frac{1}{\sqrt{2}} \hat{j}-\frac{1}{\sqrt{2}} \hat{k} \)
B. \( -\frac{4}{\sqrt{2}} \hat{i}+\frac{1}{\sqrt{2}} \hat{j}-\frac{1}{\sqrt{2}} \hat{k} \)
\( ^{\mathrm{C}} \cdot-\frac{4}{\sqrt{2}} \hat{i}-\frac{1}{\sqrt{2}} \hat{j}+\frac{1}{\sqrt{2}} \hat{k} \)
D. \( \frac{4}{\sqrt{2}} \hat{i}+\frac{1}{\sqrt{2}} \hat{j}-\frac{1}{\sqrt{2}} \hat{k} \)
Subject: Maths
The area of the shaded field shown in
the given figure is:
\( \mathbf{A} \cdot(4 \pi+32) \mathrm{cm}^{2} \)
B \( \cdot(2 \pi+32) \mathrm{cm}^{2} \)
\( \mathbf{c} \cdot(2 \pi+16) \mathrm{cm}^{2} \)
\( \mathbf{D} \cdot(4 \pi+24) \mathrm{cm}^{2} \)
Subject: Chemistry
0.1 mole of \( N_{2} O_{4}(g) \) was sealed in a
tube under one atmospheric conditions
at \( 25^{0} C . \) Calculate the number of moles
of \( N O_{2}(g) \) present, if the equilibrium \( N_{2} O_{4}(g) \rightleftharpoons 2 N O_{2}(g)\left(K_{p}=0.14\right) \) is
reached after some time.
A \( .1 .8 \times 10^{2} \)
B . \( 2.8 \times 10^{2} \)
c. 0.034
D. \( 2.8 \times 10^{-2} \)
Subject: Maths
\( a x+b y+c=0 \) does not represent an
equation of line if
A. \( a=c=0, b \neq 0 \)
B. \( b=c=0, a \neq 0 \)
c. \( a=b=0 \)
D. \( c=0, a \neq 0, b \neq 0 \)
Subject: Physics
A particle having a charge of \( 20 \mu C \) and
mass \( 20 \mu g \) moves along a circle of
radius \( 5 \mathrm{cm} \) under the action of a
magnetic field B=0.1 tesla. When the particle is at \( P, \) uniform transverse
electric field is switched on and it is
found that the particle continues along the tangent with a uniform velocity.
Find the electric field :
\( A \cdot 2 V / m \)
B. \( 0.5 \mathrm{V} / \mathrm{m} \)
\( c .5 \mathrm{v} / \mathrm{m} \)
D. \( 1.5 \mathrm{V} / \mathrm{m} \)
Subject: Chemistry
Boiling point of petrol is:
A. below \( 20^{\circ} \mathrm{C} \)
B . \( 170-120^{\circ} \mathrm{C} \)
c. \( 35-70^{\circ} \mathrm{C} \)
D. 270 - 340 \( ^{\circ} \mathrm{C} \)
Subject: Chemistry
Addition of 0.643 g of a compound to 50 mL of benzene (density 0.879 glmL)
lowers the freezing point from \( 5.51^{\circ} \mathrm{C} \) to
\( 5.03^{\circ} \mathrm{C} . \) If \( K_{f} \) for benzene is 5.12
calculate the molecular mass of the
compound.
A . 126
B. 166
\( c \cdot \) १५
D. 146
Subject: Physics
A \( 60 \mathrm{kg} \) man pushes a \( 40 \mathrm{kg} \) man by a
force of \( 60 N . \) The \( 40 \mathrm{kg} \) man has
pushed the other man with a force of:
A \( .40 N \)
B. 0
\( c .60 N \)
D. 20 N
Subject: Biology
Which one of the following four glands
is correctly matched with the
accompanying description?
A. Thyroid- hyperactivity in young children causes cretinism
B. Thymus- starts undergoing atrophy after puberty
C. Parathyroid- secretes parathormone, which promotes movement of calcium ions from blood into bones during calcification
D. Pancreas- delta cells of the islets of Langerhans secrete a hormone, which stimulates glycolysis in liver
Subject: Physics
Two bulbs, one of \( 200 W \) and the other
of \( 100 W, \) are connected in series with a
\( 100 V \) battery which has no internal
resistance. Then,
A. The current passing through the \( 200 W \) bulb is more than that through the \( 100 \mathrm{W} \) bulb
B. The power dissipation in the \( 200 W \) bulb is less than that In the \( 100 \mathrm{W} \) bulb
c. The voltage drop across the \( 200 W \) bulb is more than that across the \( 100 \mathrm{W} \) bulb
D. The power dissipation In the \( 100 W \) bulb is more than that in the \( 200 \mathrm{W} \) bulb
Subject: Biology
Assertion: In man, only peripheral
nervous system is present.
Reason: The peripheral nervous system
includes nerves coursing between the
central nervous system and different
parts of the body.
A. If both the assertion and the reason are true and the reason is the correct explanation of the assertion
B. If both the assertion and the reason are true and the reason is not the correct explanation of the assertion
C. If the assertion is true and the reason is false
D. If both the assertion and the reason is false
E. If the assertion is false but the reason is true
Subject: Physics
Let us consider emission of \( \alpha \) -particle
from uranium nucleus:
\( \mathbf{9}_{2} \boldsymbol{U}^{2 \mathbf{3 5}} \rightarrow_{\mathbf{2}} \boldsymbol{H} \boldsymbol{e}^{\mathbf{4}} \rightarrow \mathbf{9 0} \boldsymbol{T} \boldsymbol{h}^{\mathbf{2 3 1}} \)
\( \boldsymbol{e}=\mathbf{9 2} \quad \boldsymbol{e}=\mathbf{0} \quad \boldsymbol{e}=\mathbf{9 0} \)
\( \boldsymbol{p}=\mathbf{9 2} \quad \boldsymbol{p}=\mathbf{2} \quad \boldsymbol{p}=\mathbf{9 0} \)
\( \boldsymbol{n}=\mathbf{1 4 3} \quad \boldsymbol{n}=\mathbf{2} \quad \boldsymbol{n}=\mathbf{1 4 1} \)
Shortage of two electrons in thorium is
due to:
This question has multiple correct options
A. conversion of electron to positron
B. combination with positron to evolve energy
c. annihilation
D. absorption in the nucleus
Subject: Chemistry
The boiling point of heavy water is?
\( \mathbf{A} \cdot 100^{0} C \)
в. \( 101.4^{\circ} \mathrm{C} \)
\( \mathbf{c} \cdot 99^{0} C \)
D. \( 110^{\circ} \mathrm{C} \)
Subject: Maths
Let the function \( f(x) \) be defined as
\( \boldsymbol{f}(\boldsymbol{x})=\left\{\begin{array}{ll}\tan ^{-1} \boldsymbol{\alpha}-\mathbf{3} \boldsymbol{x}^{2}, & \boldsymbol{0}<\boldsymbol{x}<1 \\ -\boldsymbol{6} \boldsymbol{x}, & \boldsymbol{x} \geq \mathbf{1}\end{array}\right. \)
\( f(x) \) can have a maximum at \( x=1 \) if
the value of \( \alpha \) is
A.
B. 2
\( c \)
D. None of these