AkshitPareek2004/jee-question-analyzer-data huggingface dataset:
Subject: Physics
A projectile of mass \( m \) is thrown with
velocity \( v \) making an angle \( 60^{\circ} \) with the
horizontal. Neglecting air resistance, the change in momentum from the
departure A to its arrival at B, along the
vertical direction is :
A \( .2 m v \)
B. \( \sqrt{3} m v \)
\( c \)
D. \( \frac{m v}{\sqrt{3} v} \)
Subject: Maths
\( \int \frac{x-\sin x}{1-\cos x} d x= \)
A \( \cdot \log |1-\cos x|+c \)
B . \( \log |x-\sin x|+c \)
c. \( _{x \tan } \frac{x}{2}+c \)
D. \( -x \cot \frac{x}{2}+c \)
Subject: Biology
Which one of the following components of urine in a healthy human does not differ much in concentration from
that of blood plasma?
\( \mathbf{A} \cdot N H_{4}^{+} \)
в. \( K^{+} \)
c. \( N a^{\text {t }} \)
\( \mathrm{D} \cdot S O_{4}^{2} \)
Subject: Maths
If \( f(x)=a x^{2}+b x+c \) is divided by
\( (b x+c), \) then the remainder is:
This question has multiple correct options
A \( \cdot \frac{a c^{2}}{b^{2}} \)
B. \( \frac{a c^{2}}{b^{2}}+2 c \)
c. \( f\left(-\frac{c}{b}\right) \)
D. \( \frac{a c^{2}+2 b^{2} c}{b^{2}} \)
Subject: Biology
Amount of \( C O_{2} \) mixed annually is
about
A. \( 70 \times 10^{10} \mathrm{Kg} \)
в. \( 70 \times 10^{11} \mathrm{Kg} \)
c. \( 70 \times 10^{13} \mathrm{Kg} \)
D. \( 70 \times 10^{13} g \)
Subject: Physics
If the frequency of the particle
performing circular motion increases from 60 rmp to 180 rpm is 20 seconds,
its angular acceleration is
A \( \cdot 0.1 \mathrm{rad} / \mathrm{s}^{2} \)
B. 3.142 \( r a d / s^{2} \)
c. 0.6284 rad \( / s^{2} \)
D. 0.3142 rad/s \( ^{2} \)
Subject: Physics
Out of two copper spheres of the same
size, \( x \) is hollow while \( y \) is solid. If they
are charged at the same potential, what can be said about the charges on them?
A. Charge on both the spheres is zero
B. Charge on both the spheres is equal
c. sphere \( y \) will have more charge
D. sphere \( x \) will have more charge
Subject: Maths
If \( a<\frac{1}{32}, \) then the number of solutions
of \( \left(\sin ^{-1} x\right)^{3}+\left(\cos ^{-1} x\right)^{3}=a \pi^{3}, \) is
\( A \cdot 0 \)
B.
\( c \cdot 2 \)
D. infinite
Subject: Chemistry
Assertion
If both \( \Delta H^{0} \) and \( \Delta S^{0} \) are positive then
reaction will be spontaneous at high temperature.
Reason
All processes with positive entropy change are spontaneous.
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 body of mass \( \mathrm{M} \) is resting on a rough horizontal plane surface, the coefficient
of friction being equal to \( \mu . A t t=0, a \)
horizontal force \( \boldsymbol{F}=\boldsymbol{F}_{0} \boldsymbol{t} \) starts acting
on it, where \( F_{0} \) is a constant. Find the
time \( T \) at which the motion starts?
A. \( \mu M g / F_{0} \)
\( \mathbf{B} \cdot M g / \mu F_{0} \)
\( \mathbf{c} \cdot \mu F_{0} / M g \)
D. None of these
Subject: Physics
Moment of inertia of a thin rod of mass
\( M \) and length \( L \) about an axis passing through its center is \( \frac{M L^{2}}{12} . \) Its moment of inertia about a parallel axis at a distance of \( \frac{L}{4} \) from this axis is given by
A. \( \frac{M L^{2}}{48} \)
в. \( \frac{M L^{3}}{48} \)
c. \( \frac{M L^{2}}{12} \)
D. \( \frac{7 M L^{2}}{48} \)
Subject: Physics
Which of the following notations shows the product incorrectly?
\( \mathbf{A} \cdot_{96} C m^{242}(\alpha, 2 n)_{97} B k^{243} \)
В. \( _{5} B^{10}(\alpha, n)_{7} N^{13} \)
\( \mathbf{C} \cdot_{7} N^{14}(n, p)_{5} C^{14} \)
D. \( _{14} S i^{28}(d, n)_{15} P^{29} \)
Subject: Chemistry
In the estimation of sulphur by Carius Method, \( 0.468 g \) of an organic compound afforded \( 0.668 g \) of barium sulphate. Find the percentage of sulphar in that compound.
A . \( 12.85 \% \)
B . \( 15.66 \% \)
c. \( 19.60 \% \)
D. \( 25.35 \% \)
Subject: Maths
Find the median of the following
numbers
\( \mathbf{1 1}, \mathbf{1 3}, \mathbf{8}, \mathbf{1 0}, \mathbf{1 5}, \mathbf{1 8}, \mathbf{1 2}, \mathbf{7}, \mathbf{9}, \mathbf{1 6} \)
A . 12
B. 11
c. 11.5
D. 12.5
Subject: Physics
Block A weight 4N and block weight 8N The coefficient of kinetic friction is 0.25
for all surfaces. Find the force \( F \) to slide
\( \mathrm{B} \) at a constant speed when \( (\mathrm{a} 0 \mathrm{A} \) rests on B and moves with it, (b) A is held at
rest, and (c) A and B are connected by a light cord passing over a smooth pulley as shown in Fig., respectively.
Subject: Chemistry
Electronegativity of carbon atoms
depends upon their state of hybridisation. In which of the following compounds, the carbon marked with asterisk is most electronegative?
\( \mathbf{A} \cdot C H_{3}-C H_{2}-C^{*} H_{2}-C H_{3} \)
в. \( C H_{3}-C H=C H-C H_{3} \)
c. \( C H_{3}-C H_{2}-C \stackrel{*}{C} \equiv H \)
D. \( C H_{3}-C H_{2}-C H=C^{*} H_{2} \)
Subject: Biology
Which one has (a) Tissue level
organisation,
(b) Organ level organisation?
A. Tissue level organisation- Hydra, Organ level organisation - Liver fluke
B. Tissue level organisation - Liver fluke, Organ level organisation - Hydra
c. Tissue level organisation - Centipede, Organ level organisation - Earthworm
D. Tissue level organisation - Earthworm, organ level organisation - Centipede
Subject: Chemistry
\( N_{2} O_{5} \) decomposes according to equation:
\[
\mathbf{2} N_{2} \boldsymbol{O}_{\mathbf{5}} \rightarrow \mathbf{4} \boldsymbol{N} \boldsymbol{O}_{\mathbf{2}}+\boldsymbol{O}_{\mathbf{2}}
\]
What does \( -\frac{\boldsymbol{d}\left[\boldsymbol{N}_{2} \boldsymbol{O}_{5}\right]}{\boldsymbol{d} t} \) denote?
Subject: Physics
toppr \( \mathbf{G} \)
Q Type your question
the plates
As some of the oil evaporates, the
droplet loses mass and starts to
accelerate. Its charge remains constant.
In which direction does the droplet
accelerate, and which change needs to
be made to the separation of the plates in order to stop this acceleration?
separation of the direction of
acceleration
downwards
downwards
upwards decrease
D upwards increase
\( A \cdot A \)
B. B
\( c \cdot c \)
D. D
Subject: Maths
In the circle with centre \( \boldsymbol{O}, \boldsymbol{P Q} \) and \( \boldsymbol{R S} \)
are diameters. \( M \) and \( N \) are points on
the arcs \( Q R \) and \( Q S \) respectively and
\( \boldsymbol{R} \boldsymbol{X}=\boldsymbol{S} \boldsymbol{Y} \) then \( \boldsymbol{P} \boldsymbol{X} \boldsymbol{Q} \boldsymbol{Y} \) is a
parallelogram.
A. True
B. False
Subject: Physics
A charged particle of mass \( m \) and charge \( q \) is accelerated through a potential difference of \( V \) volt. It enters a
region of uniform magnetic field which is directed perpendicular to the direction of motion of the particle. The particle will move on a circular path of
radius given by
A \( \cdot \frac{V m}{q B^{2}} \)
B. \( \frac{2 V m}{q B^{2}} \)
c. \( \sqrt{\frac{2 V m}{q}} \cdot\left(\frac{1}{B}\right) \)
D. \( \sqrt{\frac{V m}{q}} \cdot\left(\frac{1}{B}\right) \)
Subject: Maths
The simultaneous equations, \( \boldsymbol{y}=\boldsymbol{x}+ \)
\( \mathbf{2}|\boldsymbol{x}| \) \& \( \boldsymbol{y}=\mathbf{4}+\boldsymbol{x}-|\boldsymbol{x}| \) have the solution
set
\( ^{\mathrm{A}} \cdot\left(\frac{4}{3}, \frac{4}{3}\right) \)
в. \( \left(4, \frac{4}{3}\right) \)
\( ^{c} \cdot\left(-\frac{4}{3}, \frac{4}{3}\right) \)
D. None of these
Subject: Chemistry
Which of the following represents
hydrolysis?
\( \mathbf{A} \cdot \stackrel{\oplus}{N} H_{4}+2 H_{2} O \rightleftharpoons N H_{4} O H+H_{3} O^{\oplus} \)
B. \( \stackrel{\oplus}{N} H_{4}+H_{2} O \rightleftharpoons N H_{3}+H_{3} O^{\oplus} \)
\( \mathrm{c} \cdot H C O_{3}^{\circ}+H_{2} O \rightleftharpoons H_{2} C O_{3}+\stackrel{\ominus}{O} H \)
D. \( H C O_{3}^{\ominus}+H_{2} O \rightleftharpoons C O_{3}^{2-}+H_{3} O^{\oplus} \)
Subject: Chemistry
Charles's law is represented
mathematically as (symbols have their usual meanings)
\( \mathbf{A} \cdot V_{t}=K V_{o} t \)
в. \( v_{A}=\frac{K V_{o}}{t} \)
c. \( v_{t}=V_{o}\left(1+\frac{273}{t}\right) \)
D. \( V_{t}=V_{o}\left(1+\frac{t}{273}\right) \)
Subject: Chemistry
A balloon weighting \( 50 K g \) is filled with
\( 685 k g \) of helium at 1 at \( m \) pressure and
\( 25^{\circ} \mathrm{C} . \) What will be its pay load if it
displaced \( 5108 k g \) of air?
A \( .4373 k g \)
в. \( 4423 k g \)
c. \( 5793 k g \)
D. None of these
Subject: Maths
\( \boldsymbol{A}(\mathbf{5}, \mathbf{4}), \boldsymbol{B}(-\mathbf{3},-\mathbf{2}) \) and \( \boldsymbol{C}(\mathbf{1},-\mathbf{8}) \) are
the vertices of a triangle ABC. Find the equation of median AD.
Subject: Physics
A train is moving at \( 30 m s^{-1} \) in still air. The frequency of the locomotive whistle
is \( 500 \mathrm{Hz} \) and the speed of sound is 345
\( m s^{-1} . \) The apparent wavelengths of sound in-front of and behind the
locomotive are respectively.
A. \( 0.65 \mathrm{m}, 0.73 \mathrm{m} \)
B. \( 0.63 \mathrm{m}, 0.75 \mathrm{m} \)
c. \( 0.60 \mathrm{m}, 0.85 \mathrm{m} \)
D. \( 0.60 \mathrm{m}, 0.75 \mathrm{m} \)
Subject: Physics
A nail has \( 2 c m^{2} \) at one end and \( \frac{1}{100} c m^{2} \) at the other end. A force of 1000 gwt is applied on the first end. Calculate the
pressure acting on the wall?
A \( \cdot 78 \times 10^{6} \) dunecm\( ^{-2} \)
B. \( 88 \times 10^{6} \) dynecm\( ^{-2} \)
c. \( 98 \times 10^{6} \) dynecm \( ^{-2} \)
D. \( 95 \times 10^{6} \) dynecm \( ^{-2} \)
Subject: Physics
A glass of water upto a height \( 10 \mathrm{cm} \) has bottom area \( 5 c m^{2} \) and top area \( 10 c m^{2} \)
The downward force exerted by water on
the bottom is? (Take \( g=10 m / s^{2}, \rho_{w}= \)
\( \mathbf{1 0}^{3} \mathbf{k g} / \boldsymbol{m}^{3}, \boldsymbol{P}_{\boldsymbol{a}}=\mathbf{1 . 0 1} \times \mathbf{1 0}^{\mathbf{5}} \mathbf{N m}^{-\mathbf{2}} \mathbf{)} \)
A. \( 102 \mathrm{N} \)
в. 120N
c. \( 22 \mathrm{N} \)
D. \( 51 \mathrm{N} \)
Subject: Chemistry
toppr
Q Type your question
virtually all or the transıtion metals form dipositive \( (2+) \) cations, along with
one or more other forms. For example,
titanium forms \( \boldsymbol{T} \boldsymbol{i}^{2+} \) ad \( \boldsymbol{T} \boldsymbol{i}^{4+}, \) and
cobalt forms \( C o^{2+} \) and \( C o^{3+} \)
The principal exceptions to this
predominance of cations with a \( 2^{+} \)
charge are scandium and yttrium,
which form only tripositive cations.
\( S c^{3+} \) and \( Y^{3+}, \) and copper and silver
which form cations with a single
positive charge. \( C u^{+} \) and \( A g^{+} \)
[While copper also forms dipositive
\( C u^{2+}, \) silver exhibits the single positive
state essentially exclusively.]
Which of the following offers a
POSSIBLE explanation for the existence
of \( C u^{+} \) and \( A g^{+} ? \)
A. Mendeleev placed copper and silver in Group IB on his original periodic table because they formed compounds with the same combining ratios as elements in Group \( 1 A \)
B. Elemental copper and silver have a single valence electron, which is lost in cation formation
C. Copper and silver have higher ionization energies than the other transition metals in their respective periods, so are unable to lose more than one electron.
D. The loss of one electron gives copper and silver noble gas configurations.
Subject: Physics
A wire of resistance \( 10.0 \Omega \) is stretched
and increases its length by \( 20 \% \). Its resistance then would be: ( neglect any
change in volume or resistivity
A . \( 10.0 \Omega \)
B. \( 12.0 \Omega \)
c. \( 14.4 \Omega \)
D. \( 10.2 \Omega \)
Subject: Physics
Source \( S \) emits microwaves with a
constant amplitude. The microwave hit a metal screen \( P \) and are reflected. stationary wave is formed between \( S \)
and \( P . \) The wavelength of the microwaves is much smaller than the
distance between \( S \) and \( P \)
A detector \( Q \) is moved at a slow,
constant speed from \( S \) to \( P \)
What happens to the amplitude of the signal detected by \( Q> \)
A. decreases steadily
B. increases and decreases steadily
c. increases steadily
D. remains constant
Subject: Chemistry
Arrange the following compounds in the increasing order of their densities.
\( (\mathbf{I}) \)
\( (\mathrm{II}) \)
\( (\mathbf{I I I}) \)
\( (\mathbf{I V}) \)
\( A \cdot(1)<(11)<(111)<(1 \vee) \)
\( B \cdot(1)<(111)<(11 V)<(11) \)
\( c \cdot(\mid V)<(|| \mid)<(\text { ii) }<(1) \)
\( D \cdot(\|)<(\mid V)<(\| I)<(1) \)
Subject: Chemistry
Consider the following process \( \Delta \)
\( \boldsymbol{H}(\boldsymbol{k} \boldsymbol{J} / \boldsymbol{m} \boldsymbol{o l}) \)
\( \frac{1}{2} \boldsymbol{A} \rightarrow \boldsymbol{B} \)
\( \mathbf{3} \boldsymbol{B} \longrightarrow \mathbf{2} \boldsymbol{C}+\boldsymbol{D} \)
\( \boldsymbol{E}+\boldsymbol{A} \longrightarrow \mathbf{2} \boldsymbol{D} \)
For; \( \boldsymbol{B}+\boldsymbol{D} \longrightarrow \boldsymbol{E}+\mathbf{2} \boldsymbol{C}, \boldsymbol{\Delta} \boldsymbol{H} \) will be :
Subject: Chemistry
The expression for equilibrium
constant, \( K_{c} \) for the following reaction
is :
\( \left.\boldsymbol{F} \boldsymbol{e}_{(}^{\boldsymbol{3}+} \boldsymbol{a} \boldsymbol{q}\right)+\boldsymbol{3} \boldsymbol{O} \boldsymbol{H}_{(\boldsymbol{a} \boldsymbol{q})}^{-} \rightleftharpoons \boldsymbol{F} \boldsymbol{e}(\boldsymbol{O} \boldsymbol{H})_{\boldsymbol{3}(\boldsymbol{s})} \)
A \( \cdot K_{c}=\frac{\left[F e\left(O H_{3}\right)\right]}{\left[F e^{3+} \mid D P H\right]^{5}} \)
C . \( K_{c}=\frac{1}{\left[F e^{s+1}\right]\left(0 H^{-}\right]^{s}} \)
D. \( K_{c}=\left[\mathrm{Fe}\left(\mathrm{OH}_{3}\right)\right] \)
Subject: Physics
A neutral particle is at rest in a uniform magnetic field \( \vec{B} \). At time \( t=0 \) it decays into two charged particles,each of mass
m.The two particles move off in seperate paths,both of them lie in the plane perpendicular to \( \vec{B} \). At a later time the
particles collide.Express the time from decay until collison in terms of \( \mathrm{m}, \mathrm{B} \) and
\( \mathbf{q} \)
Subject: Maths
In the given figure, \( \triangle A B C \) is right
angled at \( B \). If \( B D \perp A C \), which of the
following is/are true?
A. \( \triangle A B C \sim \triangle A D B \)
B. \( \triangle A B C \sim \triangle B D C \)
c. \( \triangle A D B \sim \triangle B D C \)
D. \( \triangle A B C \sim \triangle D B C \)
Subject: Maths
\( A B, \) if \( D C=20 \mathrm{cm} \) and \( M N=27 \mathrm{cm} \)
\( 4.43 \mathrm{cm} \)
3. 31 ст
\( c \cdot 34 c m \)
\( 30 \mathrm{cm} \)
Subject: Physics
In which case would the particle move in a straight line along the negative direction of y-axis (i.e., move along - \( \hat{y} \) )?
A. \( (I I I)(i i)(P) \)
B . \( (I I)(i i i)(Q) \)
c. \( (I V)(i i)(S) \)
D. \( (I I I)(i i)(R) \)
Subject: Physics
An electric dipole of length \( 2 \mathrm{cm}, \) when placed with its axis making an angle of \( 60^{\circ} \) with a uniform electric field,
experiences a torque of \( 6 \sqrt{3} \mathrm{Nm} \) Calculate the potential energy of the dipole, if it has a charge of \( \pm 2 \mathrm{nC} \)
Subject: Chemistry
In Mendeleev's periodic table, the elements were arranged in the increasing order of their atomic
masses. However, cobalt with atomic
mass of 58.93 amu was placed before nickel having an atomic mass of 58.69 amu. Reason for the same is that:
A. the elements with similar size can be grouped togethe
B. the elements with different properties can be grouped together
c. the elements with similar properties can not be grouped together
D. the elements with similar properties can be grouped together
Subject: Chemistry
In the given reaction:
\( 4 H_{3} P O_{3} \longrightarrow 3 H_{3} P O_{4}+P H_{3} \)
Equivalent weight of \( \boldsymbol{H}_{3} \boldsymbol{P} \boldsymbol{O}_{3} \) is :
A. 41.00
B. 54.67
c. 72.89
D. 82.00
Subject: Physics
In the figure, the displacement time graph of a body is shown at different time-intervals. Calculate the velocity of
the body as it moves for
\( (i) 0 \) to \( 5 s \)
\( (i i) 5 s t o 7 s \) and
\( (i i i i) 7 s t o 9 s \)
A \( \cdot(i) 1.2 m s^{-1}(i i) 0 m s^{-1}(i i i) 1 m s^{-1} \)
В \( \cdot(i) 0.6 m s^{-1}(i i) 0 m s^{-1}(i i i) 2 m s^{-1} \)
C \( \cdot(i) 0 m s^{-1}(i i) 0.6 m s^{-1}(i i i) 4 m s^{-1} \)
D. \( (i) 0.3 m s^{-1}(i i) 1 m s^{-1}(i i i) 1.2 m s^{-1} \)
Subject: Chemistry
Assertion
Cannizaro reaction converts HCHO into
HCOONa and \( \boldsymbol{C} \boldsymbol{H}_{3} \boldsymbol{O} \boldsymbol{H} \)
Reason
It is a proton-hydride transfer reaction.
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
Calculate the values of the
determinants:
\( \left|\begin{array}{cccc}\mathbf{0} & \boldsymbol{x} & \boldsymbol{y} & \boldsymbol{z} \\ -\boldsymbol{x} & \boldsymbol{0} & \boldsymbol{c} & \boldsymbol{b} \\ -\boldsymbol{y} & -\boldsymbol{c} & \boldsymbol{0} & \boldsymbol{a} \\ -\boldsymbol{z} & -\boldsymbol{b} & -\boldsymbol{a} & \boldsymbol{0}\end{array}\right| \)
Subject: Maths
If the second term in the expansion \( \left[a^{\frac{1}{13}}+\frac{a}{\sqrt{a^{-1}}}\right]^{n} \) is \( 14 a^{5 / 2} \), then the
value of \( \frac{n C_{3}}{n C_{2}} \) is
\( \mathbf{A} \cdot \mathbf{4} \)
B. 3
c. 12
D. 6
Subject: Chemistry
Which one is correct for \( \boldsymbol{k}=\boldsymbol{A} \boldsymbol{e}^{-\boldsymbol{E}_{a} / \boldsymbol{R} \boldsymbol{T}} \) ?
A \( \cdot E_{a} \) is energy of activation
B. R is Rydberg's constant
c. \( \mathrm{k} \) is equilibrium constant
D. A is adsorption
Subject: Chemistry
Average kinetic energy of a gas (Molar mass \( =4) \) at "T/2" Kelvin is \( 8 \times 10^{8} \)
ergs. RMS velocity of the gas at "T/2" Kelvin will be cm/sec.
A \( \cdot 2 \times 10^{4} \)
B . \( 4 \times 10^{4} \)
c. \( 2 \times 10^{3} \)
D. \( 4 \times 10^{2} \)
Subject: Chemistry
Lead nitrate of heating decomposes to give
\( 2 P b\left(N O_{3}\right)_{2} \rightarrow 2 P b O+4 N O_{2}+O_{2} \)
What is the total volume of gases
produced when 13.24 g of lead nitrate is heated? All gases are measured at STP. \( (P b=207 ; N=14 ; O=16) \)
A. 4.24 litres
B. 1.24 litres
c. 3.24 litres
D. 2.24 litres
Subject: Maths
If \( \bar{E} \) and \( \bar{F} \) are the complementary events of events \( E \) and \( F, \) respectively,
and if \( \mathbf{0}<\boldsymbol{P}(\boldsymbol{F})<\mathbf{1}, \) then
A \( \cdot P(E / F)+P(\bar{E} / F)=1 / 2 \)
B . \( P(E / F)+P(E / \bar{F})=1 \)
c. \( P(\bar{E} / F)+P(E / \bar{F})=1 \)
D. \( P(E / \bar{F})+P(\bar{E} / \bar{F})=1 \)
Subject: Chemistry
The density of a \( 10.0 \% \) by mass of \( \mathrm{KCl} \) solution in water \( 1.06 \mathrm{g} / \mathrm{mL} \). Calculate molarity, molality and mole fraction of KCl in this solution respectively.
A. \( 3.42 \mathrm{M} ; 1.489 \mathrm{m} ; 0.046 \)
B. 2.42 М; \( 1.489 \mathrm{m} ; 0.026 \)
c. 1.42 М; \( 1.489 \mathrm{m} ; 0.026 \)
D. none
Subject: Maths
Solve:
\( x^{3} \frac{d y}{d x}=y^{3}+y^{2} \sqrt{y^{2}-x^{2}} \)
A \( . x y=c(x-\sqrt{y^{2}-x^{2}}) \)
B . \( x=c\left(y+y^{2}-x^{2}\right) \)
c. \( y=c\left(x+y^{2}-x^{2}\right) \)
D. \( x y=c(y+\sqrt{y^{2}-x^{2}}) \)
Subject: Physics
An electron that accelerates from a
point near a collection of positive source charges toward a point near a collection of negative source charges
experiences
A. A decrease in electrical potential energy as it moves toward a region at a lower electric potential
B. A decrease in electrical potential energy as it moves toward a region at a higher electric potential
C. An increase in electrical potential energy as it moves toward a region at a lower electric potential
D. An increase in electrical potential energy as it moves toward a region at a higher electric potential
E. No change in electrical potential energy
Subject: Physics
A sphere of mass \( m \) and radius \( r \) is
projected in a gravity free space with speed \( v \). If coefficient of viscosity is \( \frac{1}{6 \pi} \) then the distance travelled by the body before it stops is
A \( \cdot \frac{m V}{2 r} \)
B. \( \frac{2 m V}{r} \)
\( c \cdot \frac{m V}{r} \)
D. none of these
Subject: Chemistry
Arrange the following in increasing
lattice energy:
\( \boldsymbol{L} \boldsymbol{i}_{2} \boldsymbol{C} \boldsymbol{O}_{3}, \boldsymbol{N} \boldsymbol{a}_{2} \boldsymbol{C} \boldsymbol{O}_{3}, \boldsymbol{K}_{2} \boldsymbol{C} \boldsymbol{O}_{3} \)
Subject: Chemistry
A compound \( X \) was treated with \( Z n \)
dust with simultaneous heating.This resulted in the formation of an aromatic
compound \( (X) \) and a white powder \( (A) . A \) was found to be insoluble in
water.ldentify correct combination of \( \boldsymbol{X} \)
and \( A \) respectively.
A. Toluene and \( C a O \)
B. Chlorobenzene and \( Z n O \)
c. Phenol and \( C a O \)
D. Phenol and \( Z n O \)
Subject: Physics
The two masses \( m_{1} \) and \( m_{2} \) are joined
by a spring as shown. The system is dropped to the ground from a height. The spring will be
A. neither compressed nor stretched regardless of the value of \( m_{1} \) and \( m_{2} \)
B. neither compressed nor stretched only when \( m_{1}=m_{2} \)
c. stretched when \( m_{2}>m_{1} \)
D. compressed when \( m_{2}<m_{1} \)
Subject: Chemistry
If
\( A, B \) and \( C \) are the three elements of
Dobereiner's triad, and atomic weights of \( A \) and \( B \) are 7 and \( 15, \) respectively then the atomic weight of \( C \) is :
\( A \cdot 1 \)
B. 11
\( c \cdot 23 \)
D. 25
Subject: Chemistry
Cloud seeding is a technique used to
induce rain that was first used by USA
in \( 1946 . \) It has also been done in
Karnataka and other places in India.
What is it?
A. An agricultural practice that depends on clouds
B. Introduction of particles in clouds to decrease condensation
C. Making clouds and placing them in the sky
D. Trimming the clouds into seed like structures
E. An process of spreading dry ice on upper part of cloud to simulate precipitation process and cause rain
Subject: Physics
Choose the correct answer from the
alternatives given
A plane electromagnetic wave of frequency \( 25 M H z \) travels in free space
along \( X \) -direction. At a particular point in space and time, electric field \( \overrightarrow{\boldsymbol{E}}= \) \( 6.3 \hat{j} V / m . \) What is \( B \) at this point
A \( .1 .2 \times 10^{-6} T \)
B . \( 1.2 \times 10^{-8} T \)
c. \( 2.1 \times 10^{-6} T \)
D. \( 2.1 \times 10^{-8} T \)
Subject: Maths
Fill in the blanks
A tower is observed from two stations \( A \)
and \( B \) where \( B \) is East of \( A \) at a distance
100 metres. The tower is due North of \( A \)
and due North-West of
B. The angles of elevation of the tower from \( A \) and \( B \) are
complementary, the height of the tower
is
Subject: Maths
If \( \boldsymbol{P}=\boldsymbol{x}^{3}-\frac{\mathbf{1}}{\boldsymbol{x}^{3}} \) and \( \boldsymbol{Q}=\boldsymbol{x}-\frac{\mathbf{1}}{\boldsymbol{x}}, \boldsymbol{x} \in \)
\( (1, \infty) \) then minimum value of \( \frac{P}{Q^{2}} \) is:
\( A \cdot \) is \( 2 \sqrt{3} \)
B. is \( 4 \sqrt{3} \)
c. does not exist
D. None of these
Subject: Chemistry
Which of the following species, do not show disproportionation reaction and why?
\( \mathbf{C l O}^{-}, \mathbf{C l O}_{\mathbf{2}}^{-}, \mathbf{C l O}_{\mathbf{3}}^{-} \) and \( \mathbf{C l O}_{\mathbf{4}}^{-} \)
Also, write the reaction for each of the
species that disproportionate.
Subject: Physics
N particles moving in a straight line have initial velocities of \( 1,2,3, \dots \dots \dots \dots \)
\( \mathrm{m} / \mathrm{s} \) and accelerations of \( 1,2,3, \ldots \ldots \)
\( \mathrm{m} / \mathrm{s}^{2} \) respectively. If the initial spacing
between any two consecutive particles is same then, select the correct
alternative(s).

This question has multiple correct options
A. The distance between any two particles remains constant throughout
B. The distance between any two consecutive particles is same for all particles and increases with time
C. The distance between any two consecutive particles is different and increases with time
D. The distance between any two consecutive particles increases parabolically with time