AkshitPareek2004/jee-question-analyzer-data huggingface dataset:
Subject: Chemistry
The increasing order of the acidity of the following acids is:
।) \( \boldsymbol{H}_{2} \boldsymbol{S} \boldsymbol{O}_{3} \)
॥ᅵ \( \boldsymbol{H}_{3} \boldsymbol{P} \boldsymbol{O}_{3} \)
III) \( \mathrm{HClO}_{3} \)
A . |>॥|>||
B. \( \mid>\|>\| \)
c. |||>| >|
D. ||>|||>|
Subject: Chemistry
Assertion
The degree of complex formation in
actinides decreases in the order
\( \boldsymbol{M}^{\mathbf{4}+}>\boldsymbol{M} \boldsymbol{O}_{\mathbf{2}}^{\mathbf{2}+}>\boldsymbol{M}^{\mathbf{3}+}>\boldsymbol{M} \boldsymbol{O}_{\mathbf{2}}^{+} \)
Reason
Actinides form complexes with \( \pi \) bonding ligands such as alkyl phosphines and thioethers.
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
The activity of a nuclide is 15 millicurie.
If its decay constant is \( 0.005 \mathrm{sec}^{-1} \), the
number of atoms present in it is
A. \( 11.1 \times 10^{10} \)
B . \( 1 \times 10^{9} \)
c. \( 111 \times 10^{10} \)
D. \( 1.1 \times 10^{10} \)
Subject: Maths
In triangle \( A B C, \) angle \( B \) is obtuse. \( D \)
and \( E \) are mid-points of sides \( A B \) and
\( B C \) respectively and \( F \) is a point on
side \( A C \) such that \( E F \) is parallel to \( A B \)
Then, \( B E F D \) is a parallelogram. State
True or False.
A. True
B. False
Subject: Physics
The wavefront of a light beam is given
by the equation \( x+2 y+3 z=c \) (where
\( c \) is arbitrary constant of light). What is the angle made by the light with the \( y- \) axis is
\( ^{A} \cdot \cos ^{-1} \frac{1}{\sqrt{14}} \)
B. \( \sin ^{-1} \frac{2}{\sqrt{14}} \)
\( ^{\mathrm{c}} \cdot \cos ^{-1} \frac{2}{\sqrt{14}} \)
D. \( \sin ^{-1} \frac{3}{\sqrt{14}} \)
Subject: Maths
Evaluate the following limits. \( \lim _{x \rightarrow 3}\left(\frac{1}{x-3}-\frac{3}{x^{2}-3 x}\right) \)
A \( \cdot \frac{1}{3} \)
B. \( \frac{1}{2} \)
\( c \cdot-\frac{1}{3} \)
D. None of these
Subject: Maths
If \( m_{1} \| m_{2} \) and the slope of \( m_{1} \) is \( 3 / 4 \)
then the slope of \( m_{2} \) is
\( A \cdot 3 / 4 \)
B. - -3/4
\( c \cdot 4 / 3 \)
D. -4/3
Subject: Maths
Which one of the following is an elementary symmetric function of
\( \boldsymbol{x}_{1}, \boldsymbol{x}_{2}, \boldsymbol{x}_{3}, \boldsymbol{x}_{4} \)
A. \( x_{1} x_{2} x_{3}+x_{2} x_{3} x_{4} \)
в. \( x_{1} x_{2}+x_{2} x_{3}+x_{3} x_{1} \)
C \( \cdot x_{1}^{2}+x_{2}^{2}+x_{3}^{2}+x_{4}^{2} \)
D. \( x_{1} x_{2}+x_{1} x_{3}+x_{1} x_{4}+x_{2} x_{3}+x_{2} x_{4}+x_{3} x_{4} \)
Subject: Physics
Find the magnitude \( \& \) direction of
frictional force between block \( A \) and
table, if block \( A \) is pulled towards left
with a force of \( 50 N \)
\( \mathbf{A} \cdot 10 \hat{i} \)
B . \( 10 \hat{j} \)
\( c \cdot 20 \hat{i} \)
D. \( 20 \hat{j} \)
Subject: Physics
A ship \( A \) is moving Westwards with a speed of \( 10 \mathrm{km} h^{-1} \) and a ship \( \mathrm{B} 100 \mathrm{km} \)
South of \( A \) is moving northwards with a speed of \( 10 \mathrm{km} h^{-1} \). The time after
which the distance between them
becomes shortest is
\( \mathbf{A} \cdot 0 h \)
в. \( 5 h \)
c. \( 5 \sqrt{2} h \)
D. \( 10 \sqrt{2} h \)
Subject: Physics
The particle is executing S.H.M. on a line \( 4 \mathrm{cms} \) long. If its velocity at its mean position is \( 12 \mathrm{cm} / \mathrm{sec}, \) its frequency in Hertz will be :
A \( \cdot \frac{2 \pi}{3} \)
в. \( \frac{3}{2 \pi} \)
c.
D. \( \frac{3}{\pi} \)
Subject: Physics
A particle of mass \( m_{1} \) moving with
velocity \( v \) strikes with a mass \( m_{2} \) at rest, then the condition for maximum
transfer of kinetic energy is :
\( \mathbf{A} \cdot m_{1}>>m_{2} \)
в. \( m_{2}>>m_{2} \)
\( \mathbf{c} \cdot m_{1}=m_{2} \)
D . \( m_{1}=2 m_{2} \)
Subject: Physics
Suppose, the acceleration due ot gravity
at the earth's surface is \( 10 m s^{-2} \) and at
the surface of Mars it is \( 4.0 m s^{-2} . A 60 \)
kg passenger goes from the Earth to the
Mars in a spaceship moving with a
constant velocity. Neglect all other
objects in the sky. Which part of figure
bests represents the weight (net
gravitational force) of the passenger as
a function of time?
\( \mathbf{A} \cdot A \)
B. \( B \)
\( c \cdot C \)
\( D . D \)
Subject: Physics
A \( 0.2 \Omega \) resistor and \( 15 \mu \) rapacitor are connected in series to a \( 220 \mathrm{V}, 50 \mathrm{Hz} \) ac source. The impedance of the circuit is
A . \( 250 \Omega \)
в. \( 268 \Omega \)
c. \( 29.15 \Omega \)
D. \( 291.5 \Omega \)
Subject: Chemistry
Consider the following steps \( C u S \stackrel{\text {roastin air}}{\rightarrow} \)
\( (A) \)
\( \stackrel{\text {roast without ai}}{\rightarrow} \)
Which of the one is not the
correct statement?
A. It is self-reduction
B. It involves disproportionation \( C u_{2} S \rightarrow C u+C u S \)
\( c \cdot(A) \) is a mixture of \( C u_{2} \) Oand \( C u \) and
(B) is a mixture of
\( C u \) and \( S O_{2} \)
D. All are incorrect statement
Subject: Biology
Match the names of the phytohormones
with the roles listed.
\( A \cdot A-t, B-p, C-s, D-q \)
B. A-t, B- p, C- q, D-s
C. \( A-t, B-p, C-q, D-r \)
D. A- t, B- s, C- p, D- q
Subject: Maths
If \( \mathbf{5} \boldsymbol{A}=\left[\begin{array}{cc}\mathbf{3} & -\mathbf{4} \\ \mathbf{4} & \boldsymbol{x}\end{array}\right] \) and \( \boldsymbol{A} \boldsymbol{A}^{\boldsymbol{T}}=\boldsymbol{A}^{\boldsymbol{T}} \boldsymbol{A}=\boldsymbol{I} \)
then \( x=? \)
\( \mathbf{A} \cdot \mathbf{3} \)
B. -3
c. 2
D. -2
Subject: Physics
An atom emits a spectral line of wavelength \( \lambda \) when an electron makes a
transition between levels of energy \( \boldsymbol{E}_{1} \)
and \( E_{2} . \) Which expression correctly
relates \( \lambda, E_{1} \) and \( E_{2} ? \)
A \( \cdot \lambda=\frac{h c}{E_{1}+E_{2}} \)
B. \( \lambda=\frac{2 h c}{E_{1}+E_{2}} \)
c. \( \lambda=\frac{2 h c}{E_{1}-E_{2}} \)
D. \( \lambda=\frac{h c}{E_{1}-E_{2}} \)
Subject: Physics
A conductor \( A \) is given a charge of
amount \( +\mathrm{Q} \) and then placed inside a deep metal cab \( \mathrm{B} \), without touching it:
This question has multiple correct options
A. the potential of A does not change when it is placed inside
B. if B is earthed, \( +Q \) amount of charge will flow from it into the earth
\( \mathrm{C} \). if \( \mathrm{B} \) is earthed, the potential of \( \mathrm{A} \) will be reduced
D. either(b) or (c) are true, or both are true only if the outer surface of B is connected to the earth and not its
inner surface
Subject: Maths
A class teacher has the following absentee record of 40 students of a
class for the whole term. Find the mean
number of days a student was absent.
\( \begin{array}{lllll}\text { Number } & 0- & 6- & 10- & 14- \\ \text { of days } & 6 & 10 & 14 & 20\end{array} \)
Numbe of student
Subject: Maths
Let \( G=\{x \mid x \text { is boy of your class }\} \) and
\( \boldsymbol{H}=\{\boldsymbol{y} \mid \boldsymbol{y} \text { is a girl of your class }\} . \) What
type of sets \( \mathrm{G} \) and \( \mathrm{H} \) are?
A. Finite sets
B. Infinite sets
c. Cannot be determined
D. None of these
Subject: Physics
A man travels \( 600 \mathrm{km} \) by train at 800 \( \mathrm{km} / \mathrm{hr}, 800 \mathrm{km} \) by ship at \( 40 \mathrm{km} / \mathrm{hr} \)
\( 500 \mathrm{km} \) by aeroplane at \( 400 \mathrm{km} / \mathrm{hr} \) and \( 100 \mathrm{km} \) by car at \( 50 \mathrm{km} / \mathrm{hr} . \) What is the
average speed for the entire distance?
\( \mathbf{A} \cdot 60 \mathrm{km} / \mathrm{hr} \)
в. \( 60 \frac{5}{123} \mathrm{km} / \mathrm{hr} \)
c. \( 62 \mathrm{km} / \mathrm{hr} \)
D. \( 83 \frac{1}{3} \mathrm{km} / \mathrm{hr} \)
Subject: Physics
The ratio of the acceleration for a solid
sphere (mass ' \( \left.m^{\prime} \text { and radius }^{\prime} R^{\prime}\right) \)
rolling down an incline of angle ' \( \boldsymbol{\theta} \)
without slipping and slipping down the incline without rolling is.
A . 5: 7
B. 2: 3
\( c \cdot 2: 5 \)
D. 7: 5
Subject: Maths
Simplify \( (\boldsymbol{x}+\boldsymbol{y})(\boldsymbol{x}-\boldsymbol{y})+(\boldsymbol{2} \boldsymbol{x}- \)
\( \boldsymbol{y})(\boldsymbol{3} \boldsymbol{x}+\boldsymbol{y}) \)
A \( \cdot 7 x^{2}-2 y^{2}-x y \)
В. \( x^{2}-y^{2}+x y \)
c. \( 7 x^{2}-2 y^{2}+x y \)
D. \( x^{2}-2 y^{2}+x y \)
Subject: Physics
Two concentric, thin metallic spherical
shells of radii \( R_{1} \) and \( R_{2}\left(R_{1}>R_{2}\right) \) bear
charges \( Q_{1} \) and \( Q_{2} \) respectively. Then the
potential at radius 'r' between \( R_{1} \) and \( R_{2} \)
will be \( \frac{1}{4 \pi \epsilon_{0}} \) times
A \( \cdot \frac{Q_{1}+Q_{2}}{r} \)
В \( \cdot \frac{Q_{1}}{R_{1}}+\frac{Q_{2}}{r} \)
c. \( \frac{Q_{1}}{R_{1}}+\frac{Q_{2}}{R_{2}} \)
D. \( \frac{Q_{1}}{R_{2}}+\frac{Q_{2}}{R_{2}} \)
Subject: Maths
Let \( \boldsymbol{f}(\boldsymbol{x})=|\sin \boldsymbol{x}|, \) then \( \boldsymbol{f}(\boldsymbol{x}) \) is?
A. continuous every where
B. non-differentiable at odd and even multiple of \( \pi \)
C . everywhere continuous but non-differentiable at \( x= \) \( n \pi, n \in I \)
D. All of these
Subject: Maths
f \( p^{2}=a^{2} \cos ^{2} \theta+b^{2} \sin ^{2} \theta \) then \( \frac{d^{2} p}{d \theta^{2}}+ \)
\( p \) is equal to \( (a \neq b) \)
A \( \cdot \frac{a^{2} b^{2}}{p^{4}} \)
в. \( \frac{a^{2} b^{2}}{p^{2}} \)
c. \( \frac{a b}{p} \)
D. \( \frac{a^{2} b^{2}}{p^{3}} \)
Subject: Chemistry
Which electronic configuration of an element has abnormally high difference between second and third ionisation
energy?
A \( \cdot 1 s^{2}, 2 s^{2}, 2 p^{6}, 3 s^{1} \)
B . \( 1 s^{2}, 2 s^{2}, 2 p^{6}, 3 s^{2}, 3 p^{1} \)
c. \( 1 s^{2}, 2 s^{2}, 2 p^{6} \)
D. \( 1 s^{2}, 2 s^{2}, 2 p^{6}, 3 s^{2} \)
Subject: Physics
All straight wires are very long. Both \( \boldsymbol{A B} \)
and \( C D \) are arcs of the same circle,
both subtending right angles at the
centre \( O . \) Then the magnetic field at 0
is-
A \( \cdot \frac{\mu \text { is }}{4 \pi R R R} \)
B・ \( \frac{\mu_{\text {Di }}}{4 \pi} \sqrt{2} \)
c. \( \frac{\mu \text { li }}{2 \pi R_{R}} \)
D. \( \frac{\mu_{0} i}{2 \pi R}(\pi+1) \)
Subject: Maths
The minimum value of \( |\boldsymbol{x}|+\left|\boldsymbol{x}+\frac{\mathbf{1}}{\mathbf{2}}\right|+ \)
\( |\boldsymbol{x}-\mathbf{3}|+\left|\boldsymbol{x}-\frac{\mathbf{5}}{\mathbf{2}}\right| \) is
\( A \cdot 2 \)
B. 4
\( c \cdot 6 \)
D.
Subject: Maths
What is the reference angle, \( \rho ? \)
\( \mathbf{A} \cdot \rho=30^{\circ} \)
\( \mathbf{B} \cdot \rho=45^{\circ} \)
\( \mathbf{C} \cdot \rho=56^{\circ} \)
D \( \cdot \rho=270^{\circ} \)
Subject: Physics
In a simple microscope, if the final
image is located at \( 25 \mathrm{cm} \) from the eye placed closed to the lens, then
magnifying power is
A \( \cdot \frac{25}{f} \)
в. \( _{1+\frac{25}{f}} \)
c. \( \frac{f}{25} \)
D. \( \frac{25}{f}+ \)
Subject: Chemistry
The IUPAC name of \( \left(C H_{3}\right)_{2} C H C H_{2} B r \)
is :
A. 1-Bromo-2-methyl propane
B. 2-bromo-2-methyl propane
c. 1-bromo-1-methyl propane
D. 2-bromo-1-methyl propane
Subject: Maths
If \( P(A)=\frac{1}{8} \) and \( P(B)=\frac{5}{8} . \) Which of the
following statements is correct?
A \( \cdot P(A \cup B) \leq \frac{3}{4} \)
B \( \cdot P(A \cap B) \leq \frac{5}{8} \)
\( \mathbf{c} \cdot P(\bar{A} \cap B) \leq \frac{5}{8} \)
D \( \cdot P(A \cap B) \geq \frac{5}{8} \)
Subject: Physics
A point moving with constant
acceleration from \( \boldsymbol{A} \) to \( \boldsymbol{B} \) in the straight
line \( A B \) has velocities \( v_{o} \) and \( v \) at \( A \) and
\( B \) respectively. Find the velocity at \( C \)
the mid point of \( A B . \) Also show that if the time from \( A \) to \( C \) is twice that from
\( C \) to \( B \) then \( v=7 v_{o} \)
Subject: Chemistry
Statement 1: Iron is an element.
Statement 2: It cannot be broken into
smaller units and retain its physical and chemical properties.
A. Both Statement 1 and Statement 2 are correct and Statement 2 is the correct explanation of Statement
B. Both Statement 1 and Statement 2 are correct and Statement 2 is not the correct explanation of Statement 1
c. statement 1 is correct but statement 2 is not correct
D. Statement 1 is not correct but Statement 2 is correct
E. Both the Statement 1 and Statement 2 are not correct
Subject: Chemistry
The radius of \( L a^{3+} \) (Atomic number of
\( \boldsymbol{L} \boldsymbol{a}=\mathbf{5} \mathbf{7}) \) is \( \mathbf{1 . 0 6} \boldsymbol{A} \) Which one of the
following given values will be closest to the radius of \( L u^{3+} \) (Atomic number of
\( \boldsymbol{L} \boldsymbol{u}=\mathbf{7} 1) ? \)
A \( .40 A \)
в. \( 1.06 A \)
c. 0.85
D. \( 1.60 A \)
Subject: Physics
The condition for obtaining secondary maxima in the diffraction pattern due to single slit is (symbols have their usual meaning)
\( A \cdot a \sin \theta=n \lambda \)
B. \( a \sin \theta=(2 n-1) \frac{\lambda}{2} \)
\( c \cdot a \sin \theta=(2 n-1) \lambda \)
D. \( a \sin \theta=\frac{n \lambda}{2} \)
Subject: Chemistry
The reaction \( \boldsymbol{C O}+\boldsymbol{C l}_{2} \rightarrow \boldsymbol{C O C l}_{2} \)
proceeds in a closed vessel at a constant temp. The reactants are taken
in equimolar proportion at a pressure of atm. when the equilibrium sets in \( 50 \% \)
of initial amount of CO remains. The
pressure of equilibrium mixture is :
A. 0.5 atm
B. 0.75 atm
c. 1 atm
D. 1.5 atm
Subject: Chemistry
lonisation energies(IE) and electron affinities (EA) of F and Cl are given below: Compound formed between F and Cl is predominantly:
Element \( \quad \) IE \( \quad \) EA
\( F \)
\( 17.4 \mathrm{eV} \quad 3.45 \mathrm{eV} \)
\( \mathrm{c} \)
\( 13.0 \mathrm{eV} \quad 3.61 \mathrm{eV} \)
A \( \cdot F^{+} C l^{-} \)
B. \( C l^{+} F^{-} \)
c. F-cl
D.
Subject: Physics
Suppose that the potential energy of a hypothetical atom consisting of a proton and an electron is given by \( \mathrm{U}=- \)
\( \mathrm{Ke}^{2} / 3 \mathrm{r}^{3} . \) Then if Bhor's postulates are applied to this atom, then the radius of
the \( n^{t h} \) orbit will be proportional to:
\( A \cdot n^{2} \)
\( B \cdot 1 / n^{2} \)
\( c \cdot n^{3} \)
\( D \cdot 1 / n^{3} \)
Subject: Maths
The value of the determinant
\( \left|\begin{array}{c}b^{2}-a b b-c b c-a c \\ a b-a^{2} a-b b^{2}-a b \\ b c-a c c-a a b-a^{2}\end{array}\right|= \)
A \( . a b c \)
B. \( a+b+c \)
c. 0
\( \mathbf{D} \cdot a b+b c+c a \)
Subject: Physics
An electron in a hydrogen atom makes a
transition from \( n=n_{1} \) to \( n=n_{2} . \) The
time period of the electron in the initial state is eight times that in the final
state. The possible values of \( n_{1} \) and \( n_{2} \)
are
This question has multiple correct options
\( \mathbf{A} \cdot n_{1}=4, n_{2}=2 \)
B \( . n_{1}=8, n_{2}=2 \)
c. \( n_{1}=8, n_{2}=1 \)
D \( \cdot n_{1}=6, n_{2}=3 \)
Subject: Maths
The equation of image of the line
\( \frac{x-1}{9}=\frac{y-2}{-1}=\frac{z+3}{-3} \) in the plane
\( 3 x-3 y+10 z=26 \) is
\( ^{\text {A } \cdot} \frac{x-4}{9}=\frac{y+1}{-1}=\frac{z-7}{3} \)
B. \( \frac{x-4}{9}=\frac{y+1}{-1}=\frac{z-7}{-3} \)
c. \( \frac{x+4}{9}=\frac{y+1}{-1}=\frac{z-7}{-3} \)
\( \frac{x-4}{9}=\frac{y-1}{1}=\frac{z-7}{-3} \)
Subject: Physics
Blocks P and R starts from rest and
moves to the right with acceleration
\( a P=12 t a P=12 t . \) Here \( f \) is in seconds. The
time when block \( Q \) again comes to rest
is?
\( A \cdot 1 \)
в. \( \frac{3}{2} s \)
\( c .2 s \)
D. \( \frac{1}{4} s \)
Subject: Physics
The work done in carrying a charge a circle of radius with a charge 'Q' at the
center is:
A. \( \frac{1}{4 \pi \epsilon_{0}} \cdot \frac{q Q}{r} \)
в. \( \frac{1}{4 \pi \epsilon_{0}} \cdot \frac{q Q}{\pi r} \)
c. \( \frac{1}{4 \pi \epsilon_{0}} \cdot \frac{q Q}{2 \pi r} \)
D. zero
Subject: Chemistry
Two monomers in maltose are:
A. \( \alpha-D- \) glucose and \( \alpha-D- \) Fructose
B. \( \alpha-D- \) glucose and \( \alpha-D- \) galactose
C \( . \alpha-D- \) glucose and \( \alpha-D- \) glucose
D. \( \alpha-D- \) glucose and \( \beta-D- \) glucose
Subject: Maths
Find the mean deviations about the mean for the following data:
Marks \( i \) \( \begin{array}{ll}10- & 2 \\ 20 & 3\end{array} \) \( \begin{array}{ll}20- & 3 \\ 30 & 4\end{array} \)
30
obtained 40
Number of 2 student
Subject: Chemistry
The hybridisation of \( \mathrm{Xe} \) is \( \mathrm{sp}^{3} \mathrm{d}^{2} \) in :
A. \( \mathrm{XeF}_{2} \)
в. \( \mathrm{xe} \mathrm{e}_{4} \)
c. \( \mathrm{xeF}_{4} \)
D. \( \mathrm{xeO}_{3} \)
Subject: Maths
The coefficient of range of a set of data is given to be \( \frac{1}{8} . \) Then the ratio of the maximum value in the data to the
minimum value is:
A \( \cdot \frac{8}{1} \)
в. \( \frac{9}{8} \)
\( c \cdot \frac{9}{7} \)
\( D \cdot \frac{8}{7} \)
Subject: Physics
Convert \( 5^{0} F \) according to (i) Celsius scale, and (ii) Kelvin scale.
A \( \cdot\left(\text { i) }-15^{0} C\right. \)
(ii) \( 258 K \)
B. (i) \( -17^{0} C \)
(ii) \( 288 K \)
c. \( \left(\text { i) }-15^{0} C\right. \)
(ii) \( -258 K \)
D. (i) 20 \( ^{0} C \)
(ii) \( 237 K \)
Subject: Physics
A particle moves under the effect of a
force \( F=c x \) from \( x=0 \) to \( x=x_{1}, \) the
work done in the process is
A \( \cdot c x_{1}^{2} \)
B. \( \frac{1}{2} c x_{1}^{2} \)
\( c \cdot 2 c x_{1}^{2} \)
D. zero
Subject: Maths
Solve for \( x \) and \( y \)
\( \boldsymbol{m} \boldsymbol{x}-\boldsymbol{n} \boldsymbol{y}=\boldsymbol{m}^{2}+\boldsymbol{n}^{2}, \boldsymbol{x}-\boldsymbol{y}=\boldsymbol{2} \boldsymbol{n} \)
A. \( x=m+n ; y=m-n \)
в. \( x=m-n ; y=m n-n \)
c. \( x=m+m n ; y=m+n \)
D. \( x=m n-n ; y=m-n \)
Subject: Chemistry
Calculate the overall order of a reaction
which has the rate expression
(a) Rate \( =\boldsymbol{k}[\boldsymbol{A}]^{1 / 2}[\boldsymbol{B}]^{3 / 2} \)
(b) Rate \( =\boldsymbol{k}[\boldsymbol{A}]^{3 / 2}[\boldsymbol{B}]^{-1} \)
Subject: Chemistry
The reaction \( \boldsymbol{A} \boldsymbol{g}^{2+}(\boldsymbol{a} \boldsymbol{q})+\boldsymbol{A} \boldsymbol{g}(s) \rightarrow \)
\( 2 A g^{+}(a q) \) is an example of
This question has multiple correct options
A. disproportionation
B. proportionation
c. comproportionation
D. symproportionation
Subject: Physics
The speed at which the current travels
in a conductor, is nearly.
A \( .3 \times 10^{4} m s^{-1} \)
В. \( 3 \times 10^{5} \mathrm{ms}^{-1} \)
c. \( 4 \times 10^{6} m s^{-1} \)
D. \( 3 \times 10^{8} \mathrm{ms}^{-1} \)
Subject: Maths
If \( \triangle(r)=\left|\begin{array}{cc}r & r^{3} \\ 1 & n(n+1)\end{array}\right|, \) then \( \sum_{r=1}^{n} \triangle(r) \)
is equal to
\( ^{A} \cdot \sum_{i=1}^{n} r \)
B. \( \sum_{n=1}^{n} r \)
\( c \cdot \sum^{n} \)
D. \( \sum_{n=1}^{n} r^{4} \)
Subject: Physics
When a certain force is applied on a
string it extends by \( 0.01 \mathrm{cm} . \) When the same force is applied on another string of same material, twice the length and double the diameter, then the extension
in second string is
\( A \cdot 0.005 \mathrm{cm} \)
B. 0.02 cm
c. \( 0.08 \mathrm{cm} \)
D. \( 0.04 \mathrm{cm} \)
Subject: Maths
If \( \boldsymbol{A}+\boldsymbol{B}=\frac{\boldsymbol{\pi}}{\mathbf{3}} \) and \( \cos \boldsymbol{A}+\cos \boldsymbol{B}=\mathbf{1} \)
then which of the following are true:
This question has multiple correct options
A \( \cdot \cos (A-B)=\frac{1}{3} \)
B. \( \cos (A-B)=-\frac{1}{3} \)
C \( \cdot|\cos A-\cos B|=\sqrt{2 / 3} \)
D. \( |\cos A-\cos B|=\frac{1}{\sqrt{3}} \)
Subject: Chemistry
Anhydrone is a common name given to:
\( \mathbf{A} \cdot M g\left(O H_{2}\right) \cdot 6 H_{2} O \)
B. \( M g S O_{4} .7 H_{2} O \)
\( \mathrm{c} \cdot M g(O H) \cdot 7 \mathrm{H}_{2} \mathrm{O} \)
D \( \cdot_{M g}\left(C l O_{4}\right)_{2} \)
Subject: Maths
Prove the mathmatical induction that
\( \frac{1}{\log _{x} 2, \log _{x} 4}+\frac{1}{\log _{x} 4, \log _{x} 8}+ \)
\( \ldots .+\frac{1}{\log _{x} 2^{n-1}, \log _{x} 4^{n}} \)
\( =\left(1-\frac{1}{n}\right) \frac{1}{\left(\log _{x} 2\right)^{2}}, x>0, \neq-1 n \epsilon N \)
Subject: Chemistry
Which of the following pairs will show common ion effect?
\( \mathbf{A} \cdot N a C N+K C N \)
в. \( N a C l+H C l \)
c. \( N H_{4} O H+N H_{4} C l \)
D. \( _{B a} G l_{2}+B a\left(N O_{3}\right)_{2} \)
Subject: Physics
What is the dimensional formula of
dynamic viscosity?
\( \mathbf{A} \cdot\left[m^{1} L^{-1} T^{-2}\right] \)
B. \( \left[m^{1} L^{1} T^{-1}\right] \)
C. \( \left[m^{1} L^{-1} T^{-1}\right] \)
\( \mathbf{D} \cdot\left[m^{1} L^{1} T^{1}\right] \)
Subject: Physics
The reflecting surface is given by \( y= \) \( \frac{10 L}{\pi} \sin \frac{\pi x}{5 L} . \) The co-ordinates of the
point where a horizontal ray becomes vertical after reflection is:
A \( \cdot \frac{5 L}{3}, \frac{5 \sqrt{3} L}{\pi} \)
B. \( \frac{5 \sqrt{3} L}{\pi}, \frac{5 L}{3} \)
c. \( \frac{5 L}{\sqrt{3}}, \frac{\pi L}{5} \)
D. \( \frac{\pi L}{5}, \frac{5 L}{\sqrt{3}} \)
Subject: Physics
For the given circuit of P-Njunction
diode which is correct:
A. In F.B. the voltage across R is
B. In R.B. the voltage across R is
C. In F.B. the voltage across \( \mathrm{R} \) is \( 2 \mathrm{V} \)
D. In R.B. the voltage across \( R \) is \( 2 v \)
Subject: Physics
Assertion
Distance covered by a moving body is always greater than zero.
Reason
Displacement of a particle can be
greater than or less than or equal to
zero.
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 the above figure, tube A contains
copper fillings and tube B contains aluminum fillings. If a strong magnet is
brought close to the two tubes as shown
in the figure, then
(A) Centre of gravity of the tube A move
towards the right
(B) Centre of gravity of tube B move
towards the right
A. Only A is true
B. Only B is true
c. Both \( A \) and \( B \) are true
D. Neither A nor B is true
Subject: Physics
Magnetic field of earth is identical to
magnetic field of a giant magnet held
\( 20^{\circ} \) west of geographic \( N-S \) at the
centre of earth. At equator, horizontal
component of earth is \( 0.32 G \). Vertical
component can be calculated from the
relation \( V=H \) tan \( \delta, \) where \( \delta \) is angle
of dip at the place. The value of \( \boldsymbol{\delta}=\mathbf{0}^{\boldsymbol{o}} \) at
equator and \( \delta=90^{\circ} \) at poles. What is
the order of magnetic declination at a place on earth :
A \( \cdot 20^{\circ} \) East
B . \( 10^{\circ} \) East
c. \( 20^{\circ} \) west
D. \( 10^{\circ} \) west
Subject: Physics
Complete the equation for the following fission process \( _{92} U^{235}+_{0} n^{1} \rightarrow_{38} \)
\( \boldsymbol{S} \boldsymbol{r}^{\boldsymbol{9 0}}+\ldots \)
В \( \cdot_{54} X e^{14} \)
\( \mathrm{c} \cdot_{57} \mathrm{Xe}^{142} \)
\( \mathrm{D} \cdot_{54} X e^{142}+3_{0} \)
Subject: Physics
A dip needle shows an angle of dip \( \theta \) in a place which is in the magnetic meridian. Now, the dip circle is rotated through an angle \( x \) in the horizontal plane and then it
shows an angle of dip \( \theta_{1} . \) Value of
\( \tan \theta_{1} / \tan \theta \) is :
A \( \cdot \frac{1}{\cos x} \)
B. \( \frac{1}{\sin x} \)
c. \( \frac{1}{\tan x} \)
D. \( \cos x \)
Subject: Maths
\( P(4,3) \) and \( Q \) lies on the same straight line which is parallel to the \( x \) -axis. If \( Q \) is 3 units from the \( x \) -axis, the possible
coordinates of Q are:
A \( .(4,0) \)
в. (2,4)
c. (-4,3)
D. (8,4)
Subject: Maths
Coloured balls are distributed in 3
bags.
\( \boldsymbol{B}_{1} \rightarrow \mathbf{1} \boldsymbol{B}, \mathbf{2} \boldsymbol{W}, \mathbf{3} \boldsymbol{R} \)
\( B_{2} \rightarrow 2 B, 4 W, 1 R \)
\( \boldsymbol{B}_{3} \rightarrow \mathbf{4} \boldsymbol{B}, \mathbf{5} \boldsymbol{W}, \mathbf{5} \boldsymbol{R} \)
A bag is selected at random and then 2
balls are drawn from the selected bag. They happen to be black and red. What is the probability that the balls come
from bag 1?
Subject: Maths
Solve this \( \left|\begin{array}{ccc}\boldsymbol{a}-\boldsymbol{b}-\boldsymbol{c} & \boldsymbol{2} \boldsymbol{a} & \boldsymbol{2} \boldsymbol{a} \\ \boldsymbol{2} \boldsymbol{b} & \boldsymbol{b}-\boldsymbol{c}-\boldsymbol{a} & \boldsymbol{2} \boldsymbol{b} \\ \boldsymbol{2} \boldsymbol{c} & \boldsymbol{2} \boldsymbol{c} & \boldsymbol{c}-\boldsymbol{a}-\boldsymbol{b}\end{array}\right| \)