AkshitPareek2004/jee-question-analyzer-data huggingface dataset:
Subject: Physics
Assertion
When number of turns in a coil is
doubled, coefficient of self-inductance
of the coil becomes 4 times.
Reason
This is because \( L \alpha N^{2} \)
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: Chemistry
Which of the following option is
correctly matched?
\( \mathbf{A} \cdot S_{2} O_{9} ; \) contains no \( S-S \) linkage
B. \( S_{2} O_{6}^{2-} ; \) contains \( O-O \) linkage
\( \mathbf{C} \cdot\left(H P O_{3}\right)_{3} ; \) contains \( P-P \) linkage
D. \( S_{2} O_{6}^{2-} ; \) contains \( S-S \) linkage
Subject: Physics
A ray of light traveling in a transparent medium falls on a surface separating the medium from the air at an angle of incidence of \( 45^{\circ} . \) The ray undergoes
total internal reflection. If \( n \) is the
refractive index of the medium with
respect to air, select the possible value(s) of \( n \) from the following. This question has multiple correct options
A . 1.3
в. 1.4
c. 1.5
D. 1.6
Subject: Chemistry
Which among the following statements is/are correct?
This question has multiple correct options
A. \( \Psi^{2} \) represents the atomic orbitals
B. The number of peaks in radial distribution is \( (n-1) \)
C . Radial probability density \( \rho_{n l}(r)=4 \pi r^{2} R_{n l}^{2}(r) \)
D. A node is a point in space where the wave function has zero amplitude
Subject: Physics
A 5 kg mass moving at a speed of \( 13 m s^{-1} \) collides head on with a body of
mass \( 1 \mathrm{kg} \) at rest, if they move with a common velocity after collision in the same direction, find the velocity?
A \( \cdot 103 \mathrm{ms}^{-1} \)
B . \( 10.83 \mathrm{ms}^{-1} \)
c. \( 1.03 \mathrm{ms}^{-1} \)
D. \( 20 \mathrm{ms}^{-1} \)
Subject: Chemistry
Which of the following compounds has
incorrect IUPAC nomenclature?
This question has multiple correct options
\( \mathbf{A} \cdot C H_{3} C H_{2} C O O C_{2} H_{5} \leftarrow \) ethyl butanoate
B \( \cdot C H_{3} C H\left(C H_{3}\right) C H_{2} C H O \leftarrow \) ethyl butanoate
\( \mathbf{c} \cdot C H_{3} C H\left(C H_{3}\right) C O C H_{2} C H_{3} \leftarrow 2- \) methyl-3-pantanone
D. \( C H_{3} C H\left(C H_{3}\right) C H(O H) C H_{3} \leftarrow \) 2-methyl-3-butanol
Subject: Chemistry
Assertion
\( A l C l_{3} \) is called aluminum trichloride.
Reason
Prefixes are used when naming
covalent compounds.
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: Chemistry
An ion \( M^{2+}, \) forms the complexes
\( \left[M\left(H_{2} O\right)_{6}\right]^{2+},\left[M(e n)_{3}\right]^{2+} \) and
\( \left[M B r_{6}\right]^{4-} . \) The colour of the complexes
will be
respectively.
A. green, blue and red
B. blue, red and green
c. green, red and blue
D. red, blue and green
Subject: Chemistry
Above transformation can be carried
out by :
A \( \cdot H^{+} / \Delta, \quad Z n(H g), H C l \)
в. \( H I O_{4}, \) LiAlH\( _{4} \)
c. \( H I O_{4}, H^{+} / \Delta \)
D. \( H^{+} / \Delta, H I O_{4} \)
Subject: Physics
Student \( A \) and student \( B \) sit in identical
office chairs facing each other, as
shown in figure. Student A is heavier than student B. Student A suddenly pushes with his feet. Which of the
following occurs?
A. Neither student applies a force on each other
B. A exerts a force that is applied to B, but A experiences no force
c. Each student applies a force to the other, but A exerts the larger force
D. The students exert the same amount of force on each
other
Subject: Maths
Suppose we have four boxes \( \boldsymbol{A}, \boldsymbol{B}, \boldsymbol{C} \)
and \( D \) containing colored marbles as
given :

One of the boxes has been selected at
random and a single marble is drawn
from it. If the marble is red, what is the
probability that it was drawn from box
\( A, \) box \( B, \) box \( C ? \)
\begin{tabular}{cc|cc} 
BOX & \multicolumn{3}{c} { Marbles Color } \\
\hline & Red & White & Black \\
\hline \( \mathrm{A} \) & 1 & 6 & 3 \\
\( \mathrm{B} \) & 6 & 2 & 2 \\
\( \mathrm{C} \) & 8 & 1 & 1 \\
\( \mathrm{D} \) & 0 & 6 & 4 \\
\hline
\end{tabular}
Subject: Physics
A bar magnet of magnetic moment
\( 1.2 A m^{2} \) is placed in the magnetic
meridian with its south pole pointing the north. If a neutral point is found at a
distance of \( 20 \mathrm{cm} \) from the centre of the
magnet, the value of the horizontal
component of the earth's magnetic field is :
A. \( 3 \times 10^{-5} T \)
B. \( 3 \times 10^{-4} T \)
c. \( 3 \times 10^{3} T \)
D. \( 3 \times 10^{-2} T \)
Subject: Chemistry
The solubility of \( A l(O H)_{3} \) is
\( S^{\prime} g \) mol \( L^{-1} . \) Its solubility product is:
\( A \cdot S^{2} \)
B . \( S^{3} \)
\( c \cdot 27 S^{4} \)
D. \( 27 S^{3} \)
Subject: Maths
If \( R=\{(x, y) / 3 x+2 y=15 \text { and } x, y \epsilon N\} \)
the range of the relation \( \mathrm{R} \) is
A \( \cdot\{1,2\} \)
B . \( \{1,2, . ., 5\} \)
c. \( \{1,2, ., 7\} \)
D. \{3,6\}
Subject: Physics
A radius vector of a particle varies with time \( t \) as \( r=a t(1-\alpha t), \) where \( a \) is a
constant vector and \( \alpha \) is a positive
constant. Find the time interval \( \Delta t \)
taken by the particle to return to the initial points.
A \( \cdot \Delta t=\frac{3}{\alpha} \)
в. \( \Delta t=\frac{1}{2 \alpha} \)
c. \( \Delta t=\frac{2}{\alpha} \)
D. \( \Delta t=\frac{1}{\alpha} \)
Subject: Maths
If points \( (h, k)(1,2) \) and (-3,4) lie on line \( L_{1} \) and points \( (h, k) \) and (4,3) lie on
\( L_{2} . \) If \( L_{2} \) is perpendicular to \( L_{1}, \) then value of \( \frac{\boldsymbol{h}}{\boldsymbol{k}} \) is?
A. \( -\frac{1}{7} \)
B. \( \frac{1}{3} \)
\( c \cdot 3 \)
D.
Subject: Physics
If earth revolves around the sun in an
orbit of double its present radius, then the year on earth will be of
A \( \cdot \frac{365}{4} \) day
B. \( 365 \times 2 \sqrt{2} \) day
c. \( \frac{365}{2 \sqrt{2}} \) day
D. \( 365 \times 4 \) day
Subject: Maths
If \( \frac{\mathbf{3} \boldsymbol{x}+\mathbf{2}}{(\boldsymbol{x}+\mathbf{1})\left(\mathbf{2} \boldsymbol{x}^{2}+\mathbf{3}\right)}=\frac{\boldsymbol{A}}{(\boldsymbol{x}+\mathbf{1})}+ \)
\( \frac{B x+C}{\left(2 x^{2}+3\right)} \) then \( A+C-B= \)
A.
B. 2
\( c \cdot 3 \)
\( D \)
Subject: Maths
The greatest value of the term independent for \( x \) in the expansion of
\( \left(x \sin p+x^{-1} \cos p\right)^{10}, p \in R, \) is
\( A \cdot 2^{5} \)
в. \( \frac{10 !}{(5 !)^{2}} \)
c. \( \frac{1}{2^{5}} \cdot \frac{10 !}{(5 !)^{2}} \)
D. None of the above
Subject: Maths
The general solution of \( \tan x-\sin x= \)
\( 1-\tan x \sin x \)
A \( \cdot x=n \pi+\frac{\pi}{4} \)
\( x=n \pi+(-1)^{n}\left(-\frac{\pi}{2}\right) \)
В \( \cdot x=\frac{n \pi}{4}-\frac{\pi}{4} \)
\( x=n \pi+(-1)^{n}\left(-\frac{\pi}{2}\right) \)
C \( \cdot x=n \pi+\frac{\pi}{4} \)
D. \( x=n \pi+\frac{\pi}{6} \)
\( x=n \pi+(-1)^{n}\left(-\frac{\pi}{2}\right) \)
Subject: Chemistry
A sample of \( \boldsymbol{H}_{2} \boldsymbol{O}_{2} \) solution labelled as
28 volume has density of 265 g/L. Mark the correct option(s) representing concentration of same solution in other
units.
This question has multiple correct options
A. Molarity of \( H_{2} O_{2}=2.5 \)
B. Percentage \( w / v=17 \)
C. Mole fraction of \( H_{2} O_{2}=0.2 \)
D. Molality of \( H_{2} O_{2}=13.88 \)
Subject: Biology
Choose the correct alternate, which the
type of tropism exhibited by plants is correctly matched with the stimulus to which they respond.
Stimulus Tropism 1 Hydrotropism (i) Earth
2 Geotropism
(ii) Light
3 Chemotropism (iii) Water (iii) Chemotropism phototropism chemical (iv)
A. \( 1- \) ii, \( 2-i, \) 3-iv, 4-ii
B. 1-iii, 2-i, 3-iv, 4-i
c. 1 -iv, 2-iii, 3-i, 4-i
D. 1-iii, 2-i, 3-ii, 4-ì
Subject: Chemistry
A sample of a gas at STP contains \( 3.01 \times 10^{23} \) molecules and has a mass
of 20.0 grams. This gas would:
A. have a molar mass of 20.0 g/mol and occupy 11.2 liters
B. occupy 22.4 liters and have a molar mass of 30.0. g/mol
c. occupy 22.4 liters and have a molar mass of 20.0 g/mol
D. have a molar mass of \( 40.0 \mathrm{g} / \mathrm{mol} \) and occupy 33.6 liters
E. have a molar mass of 4 \( t \)
Subject: Maths
\( \boldsymbol{A}=\left(\begin{array}{ccc}1 & 0 & 1 \\ 0 & 1 & 1 \\ 0 & 1 & 0\end{array}\right) \Rightarrow A^{2}-2 A= \)
\( A \cdot A^{-1} \)
B \( .-A^{-1} \)
\( c \)
D. -1
Subject: Physics
According to Maxwell's equation, the velocity of light in any medium is expressed as
\( ^{\mathbf{A}} \cdot \frac{1}{\sqrt{\mu_{0} \varepsilon_{0}}} \)
в. \( \frac{c}{\sqrt{\mu \varepsilon}} \)
c. \( \frac{\mu}{\sqrt{\varepsilon}} \)
D. \( \sqrt{\frac{\mu_{0}}{\varepsilon}} \)
Subject: Physics
Suppose, the torque acting on a body is \( \operatorname{given} \) by \( \boldsymbol{\tau}=\boldsymbol{K} \boldsymbol{L}+\boldsymbol{M} \boldsymbol{I} / \boldsymbol{w} . \) Where \( \boldsymbol{L}= \)
angular momentum, \( I= \) moment of
inertia, \( \boldsymbol{w}= \) angular speed. The
dimensional formula for \( \boldsymbol{K} \boldsymbol{M} \) is same
as that for:
A \( \cdot \) time \( ^{2} \)
B . time \( ^{4} \)
\( \mathrm{c} \cdot \operatorname{time}^{-2} \)
D. time \( ^{-4} \)
Subject: Chemistry
The atomic masses of three elements \( \boldsymbol{A} \)
\( B \) and \( C \) having similar chemical
properties are 7,23 and 39 respectively.
(a) Calculate the average atomic mass of elements \( A \) and \( C \)
(b) Compare the average atomic mass with atomic mass of \( \boldsymbol{B} \)
(c) What could the elements \( A, B \) and \( C \)
be?
Subject: Physics
The ends of a coil are connected to a
galvanometer. When current suddenly I starts flowing in a neighbouring circuit, the instantneous deflection in the
galvanometer is \( +7^{\circ} . \) If now the coil be
quickly rotate through \( 180^{\circ}, \) what will be the maximum deflection in the
galvanometer?
A \( \cdot 7^{\circ} \)
B. \( 14^{\circ} \)
\( c \cdot 21^{0} \)
\( D \cdot 28^{\circ} \)
Subject: Physics
An equiconvex lens is cut into two halves along (i) \( \mathrm{XOX}^{\prime} \) and (ii) YOY" as shown in fig. Let \( f, f^{\prime}, f^{\prime} \) be the focal
length of the lens, of each half in case
(i), and of each half in case (ii),
respectively, choose the correct
statement from the following
A \( \cdot f^{\prime}=f, f^{\prime \prime}=2 f \)
B . \( f^{\prime}=2 f, f^{\prime \prime}=f \)
\( \mathbf{C} \cdot f^{\prime}=f, f^{\prime \prime}=f \)
D. \( f^{\prime}=2 f^{\prime}, f^{\prime \prime}=2 f \)
Subject: Maths
If \( f(x)=\frac{x^{2}-1}{x^{2}+1}, \) for every real \( x, \) then
the minimum value of \( \boldsymbol{f} \) is
A. does not exist because fis unbounded
B. is not attained even through f is bounded
c. is equal to 1
D. is equal to -1
Subject: Physics
A force is given by \( \boldsymbol{F}=\boldsymbol{a} \boldsymbol{t}+\boldsymbol{b} \boldsymbol{t}^{2}, \) where \( \boldsymbol{t} \)
is time, the dimensions of \( a \) and \( b \) are
respectively:
\( \mathbf{A} \cdot\left[M L T^{-4}\right] \) and \( \left[M L T^{-1}\right] \)
B - \( \left[M L T^{-1}\right] \) and \( \left[M L T^{0}\right] \)
\( \mathbf{c} \cdot\left[M L T^{-3}\right] \) and \( \left[M L T^{-4}\right] \)
D \cdot \( \left[M L T^{-3}\right] \) and \( \left[M L T^{0}\right] \)
Subject: Physics
The acceleration experienced by a moving boat after its engine is cut-off, of given by: \( a=-k v^{3} \) where \( k \) is a
constant. If \( v_{0} \) is the magnitude of
velocity at cut-off, then the magnitude
of the velocity at time \( t \) after the cut-off is :-
A \( \cdot \frac{v_{0}}{2 k t v_{0}^{2}} \)
В. \( \frac{v_{0}}{1+2 k t v_{0}^{2}} \)
c. \( \frac{v_{0}}{\sqrt{1-2 k t v_{0}^{2}}} \)
D. \( \frac{v_{0}}{\sqrt{1+2 k t v_{0}^{2}}} \)
Subject: Maths
Find the latus rectum, the eccentricity, and the coordinates of the foci, of the
ellipses
(1) \( x^{2}+3 y^{2}=a^{2}, \) (2) \( 5 x^{2}+4 y^{2}=1 \)
and
(3) \( 9 x^{2}+5 y^{2}-30 y=0 \)
Subject: Chemistry
When \( 1 g \) liquid naphthalene \( \left(C_{1} 0 H_{8}\right) \)
solidifies, \( 149 J \) of heat is evolved. The
enthalpy of fusion of naphthalene is :
A. \( 14532 J \)
B. \( 15882 J \)
\( \mathrm{c} .198925 \)
D. \( 19072 . J \)
Subject: Physics
If a full wave rectifier circuit is
operating from \( 50 H z \) mains, the
fundamental frequency in the ripple will
be
\( \mathbf{A} \cdot 25 H z \)
B. \( 50 \mathrm{Hz} \)
c. \( 70.7 \mathrm{Hz} \)
D. \( 100 H z \)
Subject: Maths
Which of the function defined below are
one-one function(s)?
This question has multiple correct options
A. \( f(x)=x+1,(x \geq-1) \)
B. \( g(x)=x+\frac{1}{x},(x \geq 0) \)
C \( \cdot h(x)=x^{2}+4 x-5,(x>0) \)
D. \( f(x)=e^{-x},(x \geq 0) \)
Subject: Chemistry
Two closed vessels of an equal volume
containing air at pressure \( P_{1} \) and
temperature \( T_{1} \) are connected to each
other through a narrow tube. If the temperature in one of the vessels is now
maintained at \( T_{1} \) and that in the other
at \( T_{2}, \) what will be the pressure in the
vessels?
A \( \cdot \frac{2 P_{1} T_{1}}{T_{1}+T_{2}} \)
в. \( \frac{T_{1}}{2 P_{1} T_{2}} \)
c. \( \frac{2 P_{1} T_{2}}{T_{1}+T_{2}} \)
D. \( \frac{2 P_{1}}{T_{1}+T_{2}} \)
Subject: Maths
\( \operatorname{Let} f(x)=\max \left\{3, x^{2}, \frac{1}{x^{2}}\right\} \) for \( \frac{1}{2} \leq \)
\( x \leq 2 . \) Then the value of the integral
\( \int_{1 / 2}^{2} f(x) d x \) is?
A \( \cdot \frac{11}{3} \)
в. \( \frac{13}{3} \)
c. \( \frac{14}{3} \)
D. \( \frac{16}{3} \)
Subject: Maths
Eccentricity of ellipse \( \frac{x^{2}}{a^{2}+1}+\frac{y^{2}}{a^{2}+2}= \)
1 is \( \frac{1}{\sqrt{3}} \) then length of Latus rectum is
A \( \cdot \frac{2}{\sqrt{3}} \)
B. \( \frac{4}{\sqrt{3}} \)
\( c \cdot 2 \sqrt{3} \)
D. \( \frac{\sqrt{3}}{2} \)
Subject: Physics
The half life of \( R a^{226} \) is 1620 years. Then the number of atoms decay in one second in \( 1 \mathrm{gm} \) of radium:
(Avogadro number \( \left.=\mathbf{6 . 0 2 3} \times \mathbf{1 0}^{\mathbf{2 3}}\right) \)
\( \mathbf{A} \cdot 4 \cdot 23 \times 10^{9} \)
B. \( 3.16 \times 10^{10} \)
c. \( 3.61 \times 10^{10} \)
D. \( 2.16 \times 10^{10} \)
Subject: Maths
Solve the following differential equation:
\( \left(y-x y^{2}\right) d x-\left(x+x^{2} y\right) d y=0 \)
A \( \cdot x=c y e^{x y} \)
В. \( y=c x e^{x y} \)
c. \( y=-c x e^{x y} \)
D. \( x=c y e^{-x y} \)
Subject: Maths
Find the values of \( a \) and \( b \) such that the
function defined by \( \boldsymbol{f}(\boldsymbol{x})= \) \( \left\{\begin{array}{ccc}5, & \text { if } & x \leq 2 \\ a x+b, & \text { if } & 2<x<10 \text { is } \\ 21, & \text { if } & x \geq 10\end{array}\right. \)
continuous function.
Subject: Physics
For a rigid diatomic molecule, universal
gas constant \( \boldsymbol{R}=\boldsymbol{n} \boldsymbol{C} \boldsymbol{p} \) where \( ^{\prime} \boldsymbol{C} \boldsymbol{p}^{\prime} \) is
the molar specific heat at constant
pressure and ' \( n^{\prime} \) is a number. Hence \( n \)
is equal to
A . 0.2257
B. 0.4
c. 0.2857
D. 0.3557
Subject: Physics
\( \mu_{1}, \mu_{2} \) are the refractive indices of two
media A and B. If \( \mu_{1}>\mu_{2}, \) when two
light rays travel from air to medium \( \mathbf{A} \) and air to medium B with the same
angle. of incidence then the angle of
refractions are \( r_{1} \) and \( r_{1} \) respectively.
What is the relation between \( r_{1} \) and \( r_{2} ? \)
A. \( r_{1}=r_{2} \)
B . \( r_{1}<r_{2} \)
c. \( r_{1}>r_{2} \)
D. \( r_{1} \geq r_{2} \)
Subject: Physics
A particle moves under the force
\( \boldsymbol{F}(\boldsymbol{x})=\left(\boldsymbol{x}^{2}-\boldsymbol{6} \boldsymbol{x}\right) \boldsymbol{N}, \) where \( \boldsymbol{x} \) is in
meters. Show that for small
displacements from the origin the force constant in the simple harmonic motion is approximately 6
Subject: Maths
If the value of \( \left|\begin{array}{ccc}\mathbf{1} & \mathbf{2} & \mathbf{4} \\ -\mathbf{1} & \mathbf{3} & \mathbf{0} \\ \mathbf{4} & \mathbf{1} & \mathbf{0}\end{array}\right| \) is \( k, \) then find
\( \frac{-\boldsymbol{k}}{\mathbf{1 3}} \)
Subject: Physics
Read the following statements and select the correct option. Statement 1: It is not possible to photograph a virtual image. Statement 2: An image is said to be virtual if the reflected or refracted rays
are diverging in nature
A. Both statement 1 and statement 2 are true and statement 2 is the correct explanation of statement 1
B. Both statement 1 and statement 2 are true but statement 2 is not the correct explanation of statement 1.
c. statement 1 is true but statement 2 is false
D. Statement 1 is false but statement 2 is true
Subject: Maths
f \( x=2+5 i(\text { where } 1 i=\sqrt{-1}) \) and
\( 2\left(\frac{1}{1 ! 9 !}+\frac{1}{3 ! 7 !}\right)+\frac{1}{5 ! 5 !}=\frac{2^{a}}{b !} \operatorname{then} x^{3}- \)
\( 5 x^{2}+33 x-10= \)
\( \mathbf{A} \cdot a+b \)
в. \( b-a \)
\( \mathbf{c} \cdot a-b \)
D. \( -a-b \)
E \( .(a-b)(a+b) \)
Subject: Maths
If \( \boldsymbol{A}=\left[\begin{array}{ll}\boldsymbol{\alpha} & \boldsymbol{2} \\ \boldsymbol{2} & \boldsymbol{\alpha}\end{array}\right] \) and \( \left|\boldsymbol{A}^{3}\right|=\mathbf{1 2 5}, \) then the
value of \( \alpha \) is
\( A \cdot \pm 1 \)
\( B \cdot \pm 2 \)
\( c \cdot \pm 3 \)
\( D .\pm 5 \)
Subject: Maths
A letter is known to have come either
from \( \boldsymbol{T} \boldsymbol{A} \boldsymbol{T} \boldsymbol{A} \boldsymbol{N} \boldsymbol{A} \boldsymbol{G} \boldsymbol{A} \boldsymbol{R} \) or \( \boldsymbol{C A L} \boldsymbol{C U T T A} \)
On the envelope just two consecutive
letters \( T A \) are visible. What is the
probability that the letter came from
CALCUTTA?
\( A \cdot \frac{4}{11} \)
B. \( \frac{7}{11} \)
\( c \cdot \frac{2}{11} \)
D. None of these
Subject: Physics
A magnifying glass has \( f=12 \) cm Where shall an object be placed to produce maximum angular magnification? Least distance of clear vision \( =25 \mathrm{cm} \)
A. \( 7.1 \mathrm{cm} \)
B. \( 6.8 \mathrm{cm} \)
\( c \cdot 8.4 \mathrm{cm} \)
D. 8.1 \( \mathrm{cm} \)
Subject: Chemistry
Which of the following structures has a dipole moment in terms of atom and unbonded electron pair placement from a Lewis Dot structure view?
A \( . I F_{4}^{1} \)
в. \( X e F_{4} \)
\( \mathrm{c} \cdot I F_{4}^{1} \)
D. \( N H_{4}^{1} \)
Subject: Maths
Assertion(A): \( A, B, C \) are positive angles such that \( A+B+C=7 \pi \), then
maximum value of \( \cot A \cot B \cot C= \)
\( \frac{1}{3 \sqrt{3}} \)
Reason(R): \( A . M . \geq G . M \)
A. A is true, R is false
B. Both A and R are false
c. A is false, R is true
D. Both A and R are true
Subject: Chemistry
Borax is actually made of two tetrahedral and two triangular units joined together and should be
written as \( : N a_{2}\left[B_{4} O_{5}(O H)_{4}\right] .8 H_{2} O \)
Consider the following statements about borax:
1. Each boron atom has four B-O bonds
2. EAch boron atom has three B-O bonds
3. Two boron atoms have four B-O bonds
while other two have three B-O bonds
4. Each boron atom has one-OH groups
Select correct statement(s)-
A \( \cdot 1,2 \)
B. 2,3
\( c \cdot 3,4 \)
D. 1, 3
Subject: Chemistry
Why \( H C l \) gas forms a mist of droplets
of \( H C l \) acid in moist air?
A. \( H C l \) gas is less reactive and it is highly soluble in water to form hydrochloric acid
B. HCl gas is very reactive and it is highly soluble in water to form hydrochloric acid
c. \( H C l \) gas is very reactive and it is less soluble in water to form hydrochloric acid
D. \( H C l \) gas is less reactive and it is less soluble in water to form hydrochloric acid
Subject: Physics
White light reflected from a soap film(Refractive Index=1.5) has a
maxima at 600 nm and a minima at 450
nm with no minimum in between. Then
the thickness of the film is
\( \times 10^{-7} \mathrm{m} \)
A . 1
B. 2
\( c \cdot 3 \)
D. 4
Subject: Physics
Assertion
Work done by the electrostatic field on a charge moving around a closed circular
or elliptical path will be zero.
Reason
Electrostatic field is a conservative
field.
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
Subject: Chemistry
You are told to prepare a closed experimental environment (a box) for student mice. The box volume will be
294 litres (about \( 10 f t_{3} \) ) and the entire
air volume will be changed every
minute. The relative humidity of the air entering the box is to be controlled at 40
per at \( 21^{\circ} \mathrm{C} \). What weight of \( \mathrm{H}_{2} \mathrm{O} \) (in
grams) must be added to the flow of dry air per minute?
[Equilibrium vapour pressure for \( \boldsymbol{H}_{2} \boldsymbol{O} \) at \( \left.21^{\circ} \mathrm{C} \simeq 19 \text { torr }\right] .[\mathrm{R}=0.082 \) liter atm
mole \( ^{-1} \mathrm{deg}^{-1}, \) molecular weight
\( \left.\boldsymbol{H}_{2} \boldsymbol{O}=\mathbf{1 8}\right] \)
[Write your answer to the nearest integer].
Subject: Physics
Correct order of resistivity of materials
\( \operatorname{at} 20^{\circ} C: \)
A. Conductors \( \rightarrow \) Insulators \( \rightarrow \) Alloys
B. Alloys \( \rightarrow \) Insulators \( \rightarrow \) Conductors
c. Alloys \( \rightarrow \) conductors \( \rightarrow \) Insulators
D. conductors \( \rightarrow \) Alloys \( \rightarrow \) Insulators
Subject: Physics
A vessel of volume \( V \) contains a mixture
of 1 mole of hydrogen and 1 mole of oxygen(both considered as ideal). Let
\( f_{1}(v) d v \) denote the fraction of
molecules with speed between v and
\( (\boldsymbol{v}+\boldsymbol{d} \boldsymbol{v}) \) with \( \boldsymbol{f}_{2}(\boldsymbol{v}) \boldsymbol{d} \boldsymbol{v}, \) similarly for
oxygen. then
\( \mathbf{A} \cdot f_{1}(v)+f_{2}(v)=f(v) \) obeys the Maxwell's distribution law
B. \( f_{1}(v), f_{2}(v) \) will obey the Maxwell's distribution law separately
C. Neither \( f_{1}(v) \) nor \( f_{2}(v) \) will obey the Maxwell's distribution law
D. \( f_{2}(v) \) and \( f_{1}(v) \) will be the same
Subject: Maths
\( \boldsymbol{B}_{1}+\boldsymbol{B}_{2}+\ldots \ldots+\boldsymbol{B}_{49} \) is equal to
A. \( B_{0} \)
В. \( 7 B_{0} \)
\( \mathbf{c} \cdot 49 B_{0} \)
D. 49
Subject: Chemistry
If one mole electrons is passed through
the solutions of \( A l C l_{3}, A g N O_{3} \) and
\( M g S O_{4}, \) in what ratio \( A l, A g \) and \( M g \) will be deposited at the electrodes?
A .3: 6: 2
B . 2: 6: 3
\( \mathrm{c} \cdot 1: 2: 3 \)
D. 3: 2: 1
Subject: Chemistry
Select the correct statement(s) among
the following.
a. Electron gain enthapy of \( A s \) is more
negative than \( C l \)
b. (+3) oxidation state are shown by \( \boldsymbol{S} \boldsymbol{b} \)
and \( B i \) both
c. \( \boldsymbol{P} \) is more electronegative than \( \boldsymbol{N} \)
\( A \cdot a, b \) and \( c \)
B. b only
c. a and bonly
D. b and conly
Subject: Chemistry
The \( \boldsymbol{P}-\boldsymbol{P}-\boldsymbol{P} \) angle in \( \boldsymbol{P}_{4} \) molecule
and \( S-S-S \) angle in \( S_{8} \) molecule is (in degree) respectively:
A \( \cdot 60^{\circ}, 107^{\circ} \)
В . \( 107^{\circ}, 60^{\circ} \)
\( \mathbf{c} \cdot 60^{\circ}, 108^{\circ} \)
D. \( 60^{\circ}, 40^{\circ} \)
Subject: Maths
Let \( A=\left(\begin{array}{ll}1 & 2 \\ 3 & 4\end{array}\right) \) and \( B= \)
\( \left(\begin{array}{ll}a & 0 \\ 0 & b\end{array}\right), a, b \in N . \) Then:
A. there exists exactly one B such that \( A B=B A \)
B. there exist exactly infinitely many B's such that \( A B= \) \( B A \)
C. there cannot exist any B such that \( A B=B A \)
D. there exist more than one but finite number of B's such that \( A B=B A \)
Subject: Physics
In a cylindrical water tank here are two small holes \( Q \) and \( P \) on the wall at a
depth of \( h_{1} \) from the upper level of water
and at a height of \( h_{2} \) from the lower end of the tank, respectively, as shown in
the figure. Water coming out from both the holes strike the ground at the same
point. The ratio of \( h_{1} \) and \( h_{2} \) is
\( A \)
B.
\( c \cdot>1 \)
D.