AkshitPareek2004/jee-question-analyzer-data huggingface dataset:
Subject: Physics
Two waves having equation \( x_{1}= \)
\( a \sin \left(\omega t+\phi_{1}\right) \) and \( x_{2}=a \sin \left(\omega t+\phi_{2}\right) \)
If in the resultant wave the frequency and amplitude remains equals to amplitude of superimposing waves.
Then phase difference between them-
A \( \cdot \frac{\pi}{6} \)
в. \( \frac{2 \pi}{3} \)
c. \( \frac{\pi}{4} \)
D. \( \frac{\pi}{8} \)
Subject: Chemistry
When 4 -pentene-1-ol is treated with aqueous bromide, a cyclic bromosubstituted ether is formed
rather than expected bromohydrine. Select the explanation that best
account for the result.
A. The ether is the result of a hydride shift in the initially formed carbocation
B. The ether is formed in the intramolecular nucleophilic attack on the initially formed bromonium ion
C. The reaction is initiated by the deprotonation of the \( O H \) group
D. The initially formed bromonium ion undergoes an alkene shift to form new \( C-O \) bond
Subject: Physics
The time period of a particle executing SHM is \( 8 s . \) At \( t=0, \) it is at mean
position. If \( A \) is the amplitude of particle, then the distance travelled by particle (in second) is?
A \( \cdot \sqrt{2} A \)
B \( \cdot\left(1-\frac{1}{\sqrt{2}}\right) \)
c. \( 2 A \)
D. \( \frac{A}{\sqrt{2}} \)
Subject: Maths
If \( \sin ^{-1}\left(x-\frac{x^{2}}{2}+\frac{x^{3}}{4}-\dots \infty\right)+ \)
\( \cos ^{-1}\left(x^{2}-\frac{x^{4}}{2}+\frac{x^{6}}{4}-\dots \infty\right)=\frac{\pi}{2} \)
and \( 0<x<\sqrt{2} \) then \( x= \)
\( A \cdot \frac{1}{2} \)
B.
\( c \cdot \frac{-1}{2} \)
D. -
Subject: Physics
A transistor has \( \alpha=0.95 . \) If the emitter
current is \( 10 \mathrm{m} A \), the base current will
be
A. \( 0.1 \mathrm{mA} \)
в. \( 0.2 \mathrm{mA} \)
\( c .0 .3 m A \)
D. \( 0.5 \mathrm{mA} \)
Subject: Physics
lce at \( 20 C \) is added \( t o 50 g \) of water at
\( 40 C . \) When the temperature of the
mixture reaches \( 0 C \),it is found that \( 20 g \)
of ice is still unmelted. The amount of
ice added to the water was close to
(specific heat of water \( \left.=\mathbf{4 . 2} \boldsymbol{J} / \boldsymbol{g} /^{o} \boldsymbol{C}\right) \)
Specific heat of Ice \( =\mathbf{2 . 1} \boldsymbol{J} / \boldsymbol{g} /^{o} \boldsymbol{C} \) Heat
of fusion of water at \( 0^{\circ} C=334 j / g \)
A \( .50 g \)
в. \( 40 g \)
\( c .60 g \)
D. \( 100 g \)
Subject: Physics
Obtain the relation \( \boldsymbol{I}=\boldsymbol{I}_{0} \sin (\boldsymbol{\omega} \boldsymbol{t}+\boldsymbol{\pi} / \mathbf{2}) \)
and \( X_{C}=1 / \omega C \) for a pure capacitor
across which an altering \( e m f=V= \)
\( V_{0} \sin \omega t \) is applied. Draw a phasor
diagram showing emf \( V \), current \( I \) and
their phase difference \( \phi \)
Subject: Chemistry
Which of the following is isoelectronic
pair?
A. \( C N^{-}, O_{3} \)
в. \( C l O_{2}, B r F_{2} \)
\( \mathrm{c} \cdot \mathrm{BrO}_{2}^{-}, \mathrm{BrF}_{2}^{+} \)
D. \( I C l_{2}, C l O_{3} \)
Subject: Chemistry
The vapour pressure of water at \( 23^{\circ} C \) is \( 19.8 \mathrm{mm} .0 .1 \mathrm{mole} \) glucose is dissolved in \( 178.2 \mathrm{g} \) water. What is the vapour pressure (in \( \mathrm{mm} \) ) of the resultant solution?
\( A \cdot 19 \)
B. 19.602
c. 19.402
D. 19.202
Subject: Chemistry
A bulb of \( 40 \mathrm{W} \) is producing a light of wavelength \( 620 \mathrm{nm} \) with \( 80 \% \) of efficiency, then the number of photons emitted by the bulb in 20 seconds are \( \left.\mathbf{1} e \boldsymbol{V}=\mathbf{1 . 6} \times \mathbf{1 0}^{-\mathbf{1 9}} \mathbf{J}, \boldsymbol{h} \boldsymbol{c}=\mathbf{1 2 4 0 0} e \boldsymbol{V}\right) \)
\( \mathbf{A} \cdot 2 \times 10^{18} \)
B . \( 10^{18} \)
c. \( 10^{21} \)
D. \( 2 \times 10^{11} \)
Subject: Chemistry
A solution of weak acid was titrated
with base \( N a O H . \) The equivalence point was reached when \( 36.12 m L \) of
\( 0.1 M \) NaOH have been added. Now,
\( 18.06 m L \) of \( 0.1 M H C l \) were added to
titrated solution, the \( p H \) was found to
be \( 4.92 . K_{a} \) of acid is
A \( \cdot K_{a}=1.3 \times 10^{-5} \)
В. \( K_{a}=1.0 \times 10^{-5} \)
C \( . K_{a}=1.2 \times 10^{-5} \)
D. \( K_{a}=1.1 \times 10^{-5} \)
Subject: Physics
The charge on a sphere of radius \( r \) is \( +Q \) At a point \( P \) which is outside this sphere and at a sufficient distance from it, the
electric field is E. Now, another sphere of radius \( 2 \mathrm{r} \) and charge \( -2 \mathrm{Q} \) is placed with
\( P \) as the centre of this second sphere Then, the electric field at the midpoint
of the line joining the centres of the two spheres is :
A. \( E \)
в. \( 4 E \)
\( c .6 E \)
D. \( 12 E \)
Subject: Maths
The equation of the diameter of circle \( x^{2}+y^{2}+2 x-4 y-11=0 \) which
bisects the chords intercepted on the line \( 2 x-y+3=0 \) is
A. \( x+y-7=0 \)
В. \( 2 x-y-5=0 \)
c. \( x+2 y-3=0 \)
D. None of these
Subject: Chemistry
A 0.004 M solution of \( N a_{2} S O_{4} \) is
isotonic with a \( 0.010 \mathrm{M} \) solution of
glucose at same temperature. The apparent degree of dissociation of
\( N a_{2} S O_{4} \) is:
A . \( 25 \% \)
B. \( 50 \% \)
c. \( 75 \% \)
D. \( 85 \% \)
Subject: Physics
The speed at which the current travels,
in conductor, is nearly equal to:
\( \mathbf{A} \cdot 3 \times 10^{4} m / s \)
B \( .3 \times 10^{5} \mathrm{m} / \mathrm{s} \)
\( \mathbf{c} \cdot 3 \times 10^{6} m / s \)
D. \( 3 \times 10^{8} \mathrm{m} / \mathrm{s} \)
Subject: Maths
The medians of a right triangle which are drawn from the vertices of the acute angles are 5 and \( \sqrt{4} 0 . \) The value of the
hypotenuse is:
A . 10
в. \( 2 \sqrt{40} \)
\( c \cdot \sqrt{13} \)
D. \( 2 \sqrt{13} \)
E. none of these
Subject: Physics
If at the same temperature and pressure, the densities of two diatomic
gases are \( d_{1} \) and \( d_{2} \) respectively, the
ratio of mean kinetic energy per
molecule of gases will be :
A . 1: 1
B . \( d_{1}: d_{2} \)
D. \( \sqrt{d_{2}}: \sqrt{d_{1}} \)
Subject: Physics
A block slides down an inclined plane of
angle \( 45^{0} \) with constant velocity. If it is
then projected up the same plane with velocity \( 10 m s^{-1}, \) then \( \left[g=10 m s^{-2}\right] \)
a. the retardation while going up is \( 10 \sqrt{2} m s^{-2} \)
b. it comes to rest after moving up for
\( \frac{1}{\sqrt{2}} \mathbf{S} \)
c. it comes to rest after moving up for \( \sqrt{2} \) s.
d. coefficient of friction is 0.5
A. a, b \& dare correct
B. a, c \& dare correct
c. a \& b are correct
D. c \& dare correct
Subject: Physics
The cube as shown in Fig. has sides of
length \( \boldsymbol{L}=\mathbf{1 0 . 0} \mathrm{cm} . \) The electric field is
uniform, has a magnitude \( \boldsymbol{E}=\mathbf{4 . 0 0} \times \)
\( 10^{3} N C^{-1}, \) and is parallel to the \( x y- \)
plane at an angle of \( 37^{\circ} \) measured from
the \( +x-a x i s \) towards the \( +y-a x i s \)
The surfaces that have zero flux are
\( A \cdot S_{1} \) and \( S_{3} \)
B. \( S_{5} \) and \( S_{6} \)
\( c \cdot S_{2} \) and \( S_{4} \)
D. \( S_{1} \) and \( S_{1} \)
Subject: Chemistry
The covalent alkaline earth metal halide
\( (\boldsymbol{X}=\boldsymbol{C l}, \boldsymbol{B r}, \boldsymbol{I}) \) is:
A. \( \operatorname{CaX}_{2} \)
в. \( \operatorname{Sr} X_{2} \)
\( \mathbf{c} \cdot B e X_{2} \)
D. \( M g X_{2} \)
Subject: Chemistry
The equilibrium constant for the
reaction, \( N_{2}(g)+O_{2}(g)=2 N O(g) \) is
\( 4 \times 10^{-4} \) at \( 2000 \mathrm{k} . \) In the presence of a
catalyst, the equilibrium is attained ten times faster. Therefore, the equilibrium constant in the presence of the catalyst of \( 2000 \mathrm{k} \) is:
A. \( 4 \times 10^{-2} \)
B. \( 40 \times 10^{-4} \)
c. \( 4 \times 10^{-4} \)
D. \( 4 \times 10^{-1} \)
Subject: Chemistry
The number of molecules present in 4.4
gof \( C O_{2} \) gas is:
A \( \cdot 6.023 \times 10^{23} \)
В. \( 5.023 \times 10^{23} \)
c. \( 6.023 \times 10^{24} \)
D. \( 6.023 \times 10^{2} \)
Subject: Chemistry
For a spontaneous reaction the \( \Delta G \) equilibrium constant \( K \) and \( E_{\text {cell }}^{0} \) will be
respectively:
A. \( -v e,>1,-v e \)
В. \( -v e,<1,-v e \)
c. \( +v e,>1,-v e \)
D. \( -v e,>1,+v e \)
Subject: Maths
\( A, B, C \) are any three events. If \( P(S) \)
denotes the probability of \( S \) happening,
\( \operatorname{then} \boldsymbol{P}(\boldsymbol{A} \cap(\boldsymbol{B} \cup \boldsymbol{C}))= \)
A \( \cdot P(A)+P(B)+P(C)-P(A \cap B)-P(A \cap C) \)
B . \( P(A)+P(B)+P(C)-P(B) P(C) \)
C \( \cdot P(A \cap B)+P(A \cap C)-P(A \cap B \cap C) \)
D. None of these
Subject: Maths
If \( M \) is a \( 3 \times 3 \) matrix, where \( M^{T} M= \)
\( \boldsymbol{I} \) and \( \operatorname{det}(\boldsymbol{M})=\mathbf{1} \) then prove that
\( \operatorname{det}(M-I)=0 \)
Subject: Physics
The current density across a cylindrical
conductor of radius \( R \) varies in
magnitude according to the equation \( J=J_{0}\left(1-\frac{r}{R}\right) \) where \( r \) is the distance from the central axis. Thus, the
current density is a maximum \( J_{0} \) at
that axis \( (r=0) \) and decreases linearly
to zero at the surface \( (r=R) \). Find the
value of current in terms of \( J_{0} \) and
conductor's cross-sectional area
Subject: Physics
The magnetic flux linked with a coil of
\( N \) turns of area of cross-section \( A \) held
with its plane parallel to the field \( B \) is
A. \( \frac{N A B}{2} \)
в. \( N A B \)
c. \( \frac{N A B}{4} \)
D. 0
E . \( 2 N A B \)
Subject: Physics
A bar magnet for dipole moment \( 10^{4} J T^{-1} \) is free to rotate around a
horizontal plane. A horizontal magnetic field \( 4 \times 10^{-5} T \) exists on the space.
Find the work done in rotating the magnet slowly from a direction parallel
to the field to a direction \( 60^{0} \) from the
field.
A. \( 0.1 J \)
\( J \)
B. \( 0.2 J \)
\( c .0 .45 \)
D. \( 0.5 J \)
Subject: Physics
A toroidal coil has 3000 turns. The
inner and outer radii are \( 10 \mathrm{cm} \) and 14
cm respectively. If current flowing is \( 5 A \) then the magnetic field inside the toroid will be.
A \( .2 .5 \times 10^{-5} T \)
В . \( 2.5 \times 10^{-2} T \)
c. \( 0.25 T \)
D. \( 2.5 \times 10^{-4} T \)
Subject: Maths
In an isosceles trapezium, the length of the parallel sides, and the lengths of the non-parallel sides are all equal to \( 30 . \) In order to maximize the area of the
trapezium, the smallest angle should
be
\( A \cdot \frac{\pi}{6} \)
B.
\( c \cdot \frac{\pi}{3} \)
D.
Subject: Chemistry
Write the following in increasing energy orders \( : 3 \mathrm{d}, 5 \mathrm{s}, 6 \mathrm{s}, 4 \mathrm{f}, 4 \mathrm{d} \)
A. \( 4 f<6 s<4 d<5 s<3 d \)
B. 4f > 6s > 4d > 5s > 3d
\( c \cdot 4 f>4 d>6 s>5 s>3 d \)
D. \( 4 f>6 s>5 s>4 d>3 d \)
Subject: Chemistry
Consider the reaction of trans-2-butene
with \( B r_{2} \) in \( C H_{2} C l_{2} . \) Which statement
concerning this reaction is correct?
A. The product is optically active because it possesses two chirality centers.
B. The product is optically inactive because it is a racemic mixture of enantiomers.
C. The product is optically inactive because it is meso.
D. The product is optically inactive because it does not possess any chirality centers.
Subject: Physics
A potential difference of 300 volts is applied to a combination of \( 2.0 \mu \mathrm{F} \) and \( 8.0 \mu \mathrm{F} \) capacitors connected in series. The charge on the \( 2.0 \mu \mathrm{F} \) capacitor is :
A . \( 2.4 \times 10^{-4} \) coulomb
B. \( 4.8 \times 10^{-4} \) coulomb
c. \( 7.2 \times 10^{-4} \) coulomb
D. \( 9.6 \times 10^{-4} \) coulomb
Subject: Maths
Solve the given differential equation. \( \frac{d y}{d x}+\frac{x \sqrt{\left(x^{2}+y^{2}\right)}-y^{2}}{x y}=0 \)
A \( \cdot \sqrt{\left(x^{2}+y^{2}\right)}=x \log k / x \)
B . \( \sqrt{\left(x^{2}+y^{2}\right)}=\log k / x \)
C \( \cdot \sqrt{\left(x^{2}+y^{2}\right)}=x^{2} \log k / x \)
D. none of these
Subject: Maths
If \( \frac{1+4 p}{4}, \frac{1-p}{4}, \frac{1-2 p}{4} \) are probabilities of three mutually exclusive and exclusive and exhaustive events, then the
possible value of \( p \) belong to the set
\( \mathbf{A} \cdot\left(0, \frac{2}{3}\right) \)
В. \( \left[0, \frac{1}{2}\right] \)
\( \mathbf{c} \cdot\left[-\frac{1}{4}, \frac{1}{2}\right] \)
D. \( \left[-\frac{2}{3}, \frac{2}{3}\right] \)
Subject: Maths
If the slope of the line passing through the points \( (2, \sin \theta) \) and \( (1, \cos \theta) \) is 0
then the general solution of \( \theta \), is
A \( \cdot n \pi+\frac{\pi}{4}, \forall n \in Z \)
B \( \cdot n \pi-\frac{\pi}{4}, \forall n \in Z \)
c. \( _{n \pi \pm} \frac{\pi}{4}, \forall n \in Z \)
D. \( n \pi, \forall n \in Z \)
Subject: Physics
A sealed tank contains water to a height
of \( 11 \mathrm{m} \) and air at 3 atm. Water flower
out from the bottom of a tank through a small hole. The velocity of efflux is \( (g= \)
\( \left.10 m s^{-2}\right) \)
\( \mathbf{A} \cdot 18.1 \mathrm{ms}^{-1} \)
B. 24.2 \( m s^{-1} \)
c. \( 20.4 m s^{-1} \)
D. 28.6 \( m s^{-1} \)
Subject: Chemistry
Write IUPAC names of the following compound and classify it into primary, secondary, and tertiary amines.
\( \boldsymbol{C H}_{3} \boldsymbol{N H C H}\left(\boldsymbol{C H}_{3}\right)_{2} \)
A. N-Methylpropan-2-amine \( \left(3^{\circ}\right) \)
B. 3-Methylpropan-2-amine (3^)
c. 2-Methylpropan-2-amine ( 2 \( ^{\circ} \)
D. N-Methylpropan-2-amine (2^)
Subject: Maths
If \( \boldsymbol{A}=\left\{(\boldsymbol{x}, \boldsymbol{y}) \mid \boldsymbol{x}^{2}+\boldsymbol{y}^{2} \leq \mathbf{4}\right\} \) and \( \boldsymbol{B}= \)
\( \left\{(x, y) \mid(x-3)^{2}+y^{2} \leq 4\right\} \) and the
point \( P\left(a, a-\frac{1}{2}\right) \) belongs to the set \( B-A, \) then the set of possible real
values of \( a \) is
\( ^{\mathrm{A}} \cdot\left(\frac{1+\sqrt{31}}{4}, \frac{7+\sqrt{7}}{4}\right] \)
в. \( \left[\frac{7-\sqrt{7}}{4}, \frac{1+\sqrt{31}}{4}\right) \)
\( ^{c} \cdot\left(\frac{1-\sqrt{31}}{4}, \frac{7-\sqrt{7}}{4}\right] \)
D. None of the above
Subject: Chemistry
In a saturated solution of \( \boldsymbol{A} \boldsymbol{g} \boldsymbol{C l}\left(\boldsymbol{K}_{s p}=\right. \)
\( \left.1.6 \times 10^{-10} \text {at } 25^{\circ} C\right), \) the \( \left[A g^{+}\right]= \)
\( 1.3 \times 10^{-5} \) mol \( / L . \) Then enough
potassium chloride is added to this
solution so that \( \left[\boldsymbol{C l}^{-}\right]=\mathbf{0 . 0 2 0} \boldsymbol{M} . \) The
solubility of \( A g C l \) in this solution of potassium chloride is:
A. \( 3.2 \times 10^{-8} \) mol \( / L \)
B. \( 8 \times 10^{-11} m o l / L \)
C \( .8 \times 10^{-8} \mathrm{mol} / \mathrm{L} \)
D. \( 8 \times 10^{-9} \) mol \( / L \)
Subject: Maths
If \( 1^{0}=\alpha \) radians then the approximate
value of \( \cos 60^{0} 1^{\prime} \) is
A \( \cdot \frac{1}{2}+\frac{\alpha \sqrt{3}}{120} \)
в. \( \frac{1}{2}-\frac{\alpha}{120} \)
\( ^{\mathrm{C}} \cdot \frac{1}{2}-\frac{\alpha \sqrt{3}}{120} \)
D. none of these
Subject: Maths
\( ^{404} \boldsymbol{C}_{4}-^{4} \boldsymbol{C}_{1}^{303} \boldsymbol{C}_{4}+^{4} \boldsymbol{C}_{2}^{202} \boldsymbol{C}_{4}- \)
\( ^{4} C_{3}^{101} C_{4} \) is equal to
\( \mathbf{A} \cdot(401)^{4} \)
B . \( (101)^{4} \)
c. 0
D. \( (201)^{4} \)
Subject: Maths
Each of the cubes is \( 1 \mathrm{m} \) in length. The
total surface area of the cuboid is
\( \mathbf{A} \cdot 86 m^{2} \)
B. \( 85 m^{2} \)
\( \mathbf{c} \cdot 84 m^{2} \)
D. \( 80 m^{2} \)
Subject: Physics
Forces \( \vec{F} \) experienced by a particle having charge \( q \) and velocity \( \vec{v} \) in a magnetic field B is given by \( \overrightarrow{\boldsymbol{F}}=\mathrm{q}(\overrightarrow{\boldsymbol{v}} \times \)
\( \vec{B} \) ). What is the direction of force acting on electrons (negatively charged particles) falling vertically, at a place where the Earths magnetic field is
horizontal pointing towards North?
A. East
B. west
c. vertically up
D. Vertically down
Subject: Chemistry
Knowing that the chemistry of lanthanids \( (\mathrm{Ln}) \) is dominated by its +3
oxidation state, which of the following statements are correct?
(1) The ionic sized of \( L n(\| I) \) decreases in general with increasing atomic
number.
(II) \( \mathrm{Ln}(\mathrm{III}) \) compounds are generally colourless.
(III) \( \operatorname{Ln}(\| I) \) hydroxides are mainly basic in character
(IV) Because of the large size of the Ln
(III) ions, the bonding in its compounds is predominently ionic in character.
A. I, III and III
B. II, III and IV
c. ।, ॥ and IV
D. I, III and IV
Subject: Maths
Let for \( \boldsymbol{a} \neq \boldsymbol{a}_{1} \neq \mathbf{0}, \boldsymbol{f}(\boldsymbol{x})=\boldsymbol{a} \boldsymbol{x}^{2}+\boldsymbol{b} \boldsymbol{x}+ \)
\( \boldsymbol{c}, \boldsymbol{g}(\boldsymbol{x})=\boldsymbol{a}_{1} \boldsymbol{x}^{2}+\boldsymbol{b}_{1} \boldsymbol{x}+\boldsymbol{c}_{1} \) and \( \boldsymbol{p}(\boldsymbol{x})= \)
\( \boldsymbol{f}(\boldsymbol{x})-\boldsymbol{g}(\boldsymbol{x}), \) If \( \boldsymbol{p}(\boldsymbol{x})=\mathbf{0} \) only for \( \boldsymbol{x}= \)
-1 and \( p(-2)=2, \) then the value of
\( p(2) \) is :
A . 3
B. 9
\( c \cdot 6 \)
D. 18
Subject: Physics
In the given loop the magnetic field at
the centre 0 is :
A \( \cdot \frac{\mu_{0} I}{4}\left(\frac{r_{1}+r_{2}}{r_{1} r_{2}}\right) \) out of the page
B. \( \frac{\mu_{0} I}{4}\left(\frac{r_{1}+r_{2}}{r_{1} r_{2}}\right) \) into the page
c. \( \frac{\mu_{0} I}{4}\left(\frac{r_{1}-r_{2}}{r_{1} r_{2}}\right) \) out of the page
D. \( \frac{\mu_{0} I}{4}\left(\frac{r_{1}-r_{2}}{r_{1} r_{2}}\right) \) into the page
Subject: Maths
Find the equation of the circle which
passes through the points (2,-2) and \( (3,4) . \) And whose centre lies on the line
\( \boldsymbol{x}+\boldsymbol{y}=\mathbf{2} \)
A. \( x^{2}+y^{2}+7 x+3 y+16=0 \)
B . \( x^{2}+y^{2}+7 x-3 y-16=0 \)
c. \( x^{2}+y^{2}+4 x+5 y-16=0 \)
D. \( x^{2}+y^{2}+5 x+8 y+30=0 \)
Subject: Physics
A battery of e.m.f. \( 3.0 \mathrm{V} \) supplies current through a circuit in which the
resistance can be changed. A high resistance voltmeter is connected
across the battery. When the current is
\( 1.5 \mathrm{A}, \) the voltmeter reads \( 2.7 \mathrm{V} \). The
internal resistance of the battery is
A . \( 4 \Omega \)
в. \( 1.2 \Omega \)
c. \( 0.2 \Omega \)
D. 2\Omega
Subject: Chemistry
The reaction of elemental \( P_{4} \) in aqueous
NaOH gives:
A. \( P H_{3}, N a H_{2} P O_{2} \)
в. \( P H_{3}, N a_{3} P O_{4} \)
c. \( N a H_{2} P O_{4}, N a_{3} P O_{4} \)
D. \( N a_{3} P, N a_{3} P O_{4} \)
Subject: Chemistry
For a first-order reaction; \( \mathbf{A} \rightarrow \mathbf{B} \), the
reaction rate at a reactant
concentration of \( 0.01 \mathrm{M} \) is found to be
\( 2.0 \times 10^{-5} \) mole \( L^{-1} s^{-1} . \) The half-life
period of the reaction is:
A . 300 s
в. \( 30 s \)
\( c .220 s \)
D. 347
Subject: Chemistry
The following equilibrium is established when hydrogen chloride is dissolved in acetic acid.
\( \boldsymbol{H} \boldsymbol{C l}(\boldsymbol{a q})+\boldsymbol{C H}_{3} \boldsymbol{C O O H}(\boldsymbol{a q}) \rightleftharpoons \)
\( \boldsymbol{C l}^{-}(\boldsymbol{a q})+\boldsymbol{C H}_{3} \boldsymbol{C O O H}_{2}(\boldsymbol{a q}) \)
The set that characterizes the
conjugate acid-base pairs is
A \( \cdot\left(H C l, C H_{3} C O O H\right) \) and \( \left(C H_{3} C O O H_{2}, C l^{-}\right) \)
в. \( \left(H C l, C H_{3} C O O H_{2}\right) \) and \( \left(C H_{3} C O O H, C l^{-}\right) \)
c. \( \left(C H_{2} C O O H_{2}, H C l\right) \) and \( \left(C l^{-}, C H_{3} C O O H\right) \)
D. \( \left(H C l, C l^{-}\right) \) and \( \left(C H_{3} C O O^{-}, C H_{3} C O O H\right) \)
Subject: Physics
Two particles move in space with
nonzero initial relative velocity and
nonzero constant relative acceleration.
Then:
This question has multiple correct options
A. It is possible that motion of one particle with respect to another is straight line
B. Path of one as observed by another will always be curved
C. It is possible that one particle will be at rest with respect to another at a certain moment during the motion
D. The particles will always be moving away from each other
Subject: Physics
The path of projectile is represented by
\( \boldsymbol{y}=\boldsymbol{P} \boldsymbol{x}-\boldsymbol{Q} \boldsymbol{x}^{2} \)
\begin{tabular}{|l|l|l|l|}
\hline \multicolumn{2}{|c|} { Column I } & \multicolumn{2}{|c|} { Column II } \\
\hline i. & Range & a. & \( P / Q \) \\
\hline ii. & Maximum height & b. & \( P \) \\
\hline iii. & Time of flight & c. & \( P^{2} / 4 Q \) \\
\hline iv. & Tangent of angle of projection is & d. & \( \sqrt{\frac{2}{Q g}} \) P \\
\hline
\end{tabular}
Subject: Physics
A filament bulb \( 500 \mathrm{W}, 100 \mathrm{V} \) is to be used in a \( 230 \mathrm{V} \) main supply. When a resistance \( R \) is connected in series, it
works perfectly and the bulb consumes \( 500 \mathrm{W} \). The value of \( \mathrm{R} \) is :-
A . \( 26 \Omega \)
B. 13\Omega
c. \( 236 \Omega \)
D. \( 46 \Omega \)
Subject: Physics
A body takes 't' seconds to reach the maximum height 'H' \( m \), when projected vertically upward from the ground. Find the position of the body after \( \frac{t}{2} \) seconds from the ground in terms of H.
\( A \cdot H / 3 \)
B. 3/4 H
c. \( 1 / 2 \mathrm{H} \)
D.
Subject: Biology
Consider the following diagram:
\( A, B, C \& D \) is :
A. Root hair, Cortex Endodermis \& Pericycle, stelar system respectively
B. Root hair, Cortex Endodermis \& Nodule, vescular tissue xylem respectirely
C. Root hair, Root nodule, Stelar system, xylem respectively.
D. Root hair, Epiblema, Cortex, Endodermis respectively
Subject: Physics
The electric potential at a point in free space due to a charge \( Q \) coulomb is \( Q \times 10^{11} \mathrm{V} . \) The electric field at that
point is:
A . 12 \( \pi \varepsilon_{0} Q \times 10^{22} \mathrm{Vm}^{-1} \)
В . \( 4 \pi \varepsilon_{0} Q \times 10^{22} V m^{-1} \)
C . \( 12 \pi \varepsilon_{0} Q \times 10^{20} \mathrm{Vm}^{-1} \)
D. \( 4 \pi \varepsilon_{0} Q \times 10^{20} V m^{-1} \)
Subject: Physics
Two free positive charges \( 4 q \) and \( q \) are
at a distance \( l \) apart. What charge \( Q \) is needed to achieve equilibrium for the entire system and where should it be
placed from charge \( q ? \)
\( \left.^{\mathbf{A}} \cdot Q=\frac{4}{9} q \quad \text { (negative at } \frac{l}{3}\right) \)
\( \left.^{\mathrm{B}} Q=\frac{4}{9} q \quad \text { (positive at } \frac{l}{3}\right) \)
\( \left.^{\mathrm{c}} Q=q \quad \text { (positive at } \frac{l}{3}\right) \)
\( \left.^{\mathrm{D}} Q=q \quad \text { (negative at } \frac{l}{3}\right) \)
Subject: Physics
Three bodies are projected in three different ways: a) vertically up b) vertically down c) horizontally, with same speed from top of a tower. The time taken by the bodies to reach the ground in increasing order would be:
\( \mathbf{A} \cdot t_{b}<t_{a}<t_{c} \)
в. \( t_{c}<t_{a}<t_{b} \)
c. \( t_{b}<t_{c}<t_{a} \)
D \( \cdot t_{a}<t_{b}<t_{c} \)
Subject: Chemistry
Two different adiabatic parts for the
same gas intersect two isothermals at
\( T_{1} \) and \( T_{2} \) as shown in P-V diagram.
Then the ratio of \( \frac{V_{a}}{V_{b}} \) will be
\( \mathbf{A} \cdot \frac{V_{c}}{V_{d}} \)
B. \( \frac{V_{d}}{V_{c}} \)
\( c \cdot_{\gamma} \frac{V_{d}}{V_{d}} \)
D. \( \frac{1}{\sqrt{V}} \frac{V_{a}}{V_{V}} \)
Subject: Chemistry
Assertion
Alcohols are dehydrated to hydrocarbons in presence of acidic
zeolite.
Reason
Zeolites are porous catalyst.
A. If both (A) and (R) are true and (R) is the correct explanation of (A).
B. If both (A) and (R) are true, but (R) is not the correct explanation of \( (A) \)
c. If (A) is correct, but (R) is incorrect.
D. If (A) and (R) are both incorrect
Subject: Chemistry
Which of the following is the correct order of the rate of reaction of
\( C_{6} H_{6}, C_{6} D_{6} \) and \( C_{6} T_{6} \) towards
sulphonation?
A. same rates of reactions of \( C_{6} D_{6}, C_{6} D_{6} \) and \( C_{6} T_{6} \)
в. \( C_{6} T_{6}>C_{6} D_{6}>C_{6} H_{6} \)
c. \( C_{6} H_{6}>C_{6} D_{6}>C_{6} T_{6} \)
D. \( C_{6} T_{6}>C_{6} D_{6}=C_{6} T_{6} \)