AkshitPareek2004/jee-question-analyzer-data huggingface dataset:
Subject: Maths
Find the areas of rectangles with the following pairs of monomials as their
lengths and breadths respectively \( (p, q) ;(10 m, 5 n) ;\left(20 x^{2}, 5 y^{2}\right) ;\left(4 x, 3 x^{2}\right) \)
A \( \cdot 100 x^{2} y^{2} ; 12 x^{3} ; 12 m n^{2} p \)
B . \( 100 x^{2} y^{2} ; 12 x^{2} ; 12 m n^{2} p \)
C \( \cdot 100 x^{2} y ; 12 x^{3} ; 12 m n^{2} p \)
D. \( 100 x^{2} y^{2} ; 12 x^{3} ; 12 m n p \)
Subject: Maths
Let the equation of the plane through the points
(-2,-2,2),(1,1,1),(1,-1,2) be \( k x+ \)
\( \boldsymbol{m} \boldsymbol{y}+\boldsymbol{n} \boldsymbol{z}+\boldsymbol{p} . \) Find \( \boldsymbol{k}+\boldsymbol{m}+\boldsymbol{n}+\boldsymbol{p} \)
\( A \cdot 7 \)
B.
\( c \cdot 4 \)
D. 6
Subject: Chemistry
A \( 20 L \) box contains \( O_{3} \) and \( O_{2} \) at \( t \)
equilibrium at \( 202 K . K_{p}=2 \times 10^{14} \)
for \( 2 O_{3} \rightleftharpoons 3 O_{2} . \) Assume that \( p_{O_{3}}>> \)
\( p_{O_{2}} \) and total pressure is 8 at \( m \), then
the partial pressure of \( \boldsymbol{O}_{3} \) is:
A . exactly \( 1.6 \times 10^{-6} \) at \( m \)
B. sufficiently less than \( 1.6 \times 10^{-6} \) atm
C. slightly more than \( 1.6 \times 10^{-6} \) atm
D. very slightly less than \( 1.6 \times 10^{-6} \) atm
Subject: Chemistry
Chromium plating can involve the
electrolysis of an electrolyte of an
acidified mixture of chromic acid and
chromium sulphate. If during electrolysis the article being plated
increases in mass by \( 2.6 \mathrm{g} \) and \( 0.6 \mathrm{dm}^{3} \) of oxygen are evolved at an inert anode,
the oxidation state of chromiumions
being discharged must be : (assuming atomic weight of \( \mathrm{Cr}=52 \) and 1 mole of
gas at room temperature and pressure
occupies a volume of \( \left.24 d m^{3}\right) \)
A . -1
в. Zero
\( c \cdot+1 \)
D. +2
Subject: Maths
Let
\( \boldsymbol{\Delta}_{1}=\left|\begin{array}{ccc}\mathbf{1} & \cos \boldsymbol{\alpha} & \cos \beta \\ \cos \boldsymbol{\alpha} & \boldsymbol{1} & \cos \gamma \\ \cos \beta & \cos \gamma & 1\end{array}\right| \)
and \( \Delta_{2}=\left|\begin{array}{ccc}0 & \cos \alpha & \cos \beta \\ \cos \alpha & 0 & \cos \gamma \\ \cos \beta & \cos \gamma & 0\end{array}\right| \)
If \( \Delta_{1}=\Delta_{2}, \) find \( \sin ^{2} \alpha+\sin ^{2} \beta+\sin ^{2} \gamma \)
Subject: Physics
Which is the expression for resistivity of a wire of length \( l \) and cross-section area
A?
A \( \cdot \rho=\frac{R l}{A} \)
B. \( \rho=\frac{R A}{l} \)
\( c \cdot \rho=\frac{A}{R l} \)
D. \( \rho=\frac{R A}{l^{2}} \)
Subject: Chemistry
For the reaction \( \boldsymbol{H}^{+}+\boldsymbol{B} \boldsymbol{r} \boldsymbol{O}_{3}^{-}+ \)
\( 3 B r^{-} \rightarrow 5 B r_{2}+H_{2} O \) which of the
following relation correctly represents the consumption \( \& \) formation of reactants and product:
A \( \cdot \frac{d\left[B r^{-}\right]}{d t}=-\frac{3}{5} \frac{d\left[B r_{2}\right]}{d t} \)
B. \( \frac{d\left[B r^{-}\right]}{d t}=\frac{3}{5} \frac{d\left[B r_{2}\right]}{d t} \)
c. \( \frac{d\left[B r^{-}\right]}{d t}=-\frac{5}{3} \frac{d\left[B r_{2}\right]}{d t} \)
D. \( \frac{d\left[B r^{-}\right]}{d t}=\frac{5}{3} \frac{d\left[B r_{2}\right]}{d t} \)
Subject: Physics
In order to shift a body of mass \( \mathrm{m} \) from a circular orbit of radius \( 3 R \) to a higher orbit of radius \( 5 R \) around the earth, the
work done is?
\( ^{A} \cdot \frac{3 G M m}{5 R} \)
в. \( \frac{G M m}{2 R} \)
c. \( \frac{2}{15} \frac{G M m}{R} \)
D. \( \frac{G M m}{5 R} \)
Subject: Maths
Which of the following is the solution
set of the equation \( 2 \cos ^{-1} x= \) \( \cot ^{-1}\left(\frac{2 x^{2}-1}{2 x \sqrt{1-x^{2}}}\right) \)
A \( .(0,1) \)
B . \( (-1,1)-\{0\} \)
c. (-1,0)
D. [-1,1]
Subject: Physics
A parallel plate condenser is immersed
in an oil of dielectric constant 2. The
field between the plates is :
A \( \cdot \) increased, proportional to \( \frac{1}{2} \)
B. decreased, proportional to - 2
c. increased, proportional to - 2
D. decreased, proportional to \( -\frac{1}{2} \)
Subject: Maths
n figure, if lines \( \mathrm{PQ} \) and \( \mathrm{RS} \) intersect at
point \( \mathrm{T} \), such that \( \angle \boldsymbol{P} \boldsymbol{R} \boldsymbol{T}= \)
\( 40^{\circ}, \angle R P T=95^{\circ} \) and \( \angle T S Q=75^{\circ} \)
find \( \angle S Q T \).
\( 4 \cdot 20 \)
3.60
\( c \cdot 30 \)
\( D \)
Subject: Chemistry
The molecular weights of \( O_{2} \) and \( N_{2} \) are
32 and 28 respectively. At \( 15^{0} \mathrm{C} \), the
pressure of \( 1 \mathrm{gm} \mathrm{O}_{2} \) will be the same as
that of \( 1 \mathrm{gm} N_{2} \) in the same bottle at the temperature:
A. \( -21^{0} \mathrm{C} \)
B. \( -13^{0} \mathrm{C} \)
\( \mathrm{c} \cdot 15^{\circ} \mathrm{C} \)
D. \( 56.4^{0} \mathrm{V} \)
Subject: Maths
For \( \boldsymbol{z}=\boldsymbol{x}+\boldsymbol{i} \boldsymbol{y}, \) then for \( \boldsymbol{e}^{|\boldsymbol{z}|} \)
A \( \cdot e^{|x|} \leq e^{|z|} \)
B \( \cdot e^{x} \geq e^{|z|} \)
\( \mathbf{c} \cdot e^{|x|}=e^{|z|} \)
D. none of these
Subject: Physics
A mixture of ordinary hydrogen and its isotope, tritium (whose nucleus is approximately three times massive than ordinary hydrogen) is excited and its spectrum is studied. Calculate the
shift in wavelength for the \( H_{\alpha} \) lines in
Balmer series. \( \boldsymbol{R}_{\infty}=\mathbf{1 0 9 7 3 7 0 0 m}^{-1} \)
mass of the proton \( M_{H}=1.67 \times \)
\( 10^{-27} k g, \) mass of electron, \( m=9.1 \times \)
\( 10^{-31} k g \)
A \( \cdot \frac{6}{36} R_{H} \)
в. \( \frac{5}{36} R_{H} \)
c. \( \frac{7}{36} R_{H} \)
D. \( \frac{8}{36} R_{H} \)
Subject: Chemistry
Assertion
If a pure enantiomer of the following
ester is hydrolysed in dilute alkaline
medium, a pure enantiomer of alcohol
is obtained.
Reason
Under the given condition of hydrolysis, acyl oxygen heterolysis always takes
place.
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: Physics
The displacement (in \( \mathrm{m} \) ) of a particle of mass 100 gram from its equilibrium position is given by \( \boldsymbol{y}=\mathbf{0 . 0 1} \sin 2 \pi(t+ \)
0.4). Select the correct option(s):
This question has multiple correct options
A. The time period of motion is 1 sec.
B. The time period of motion is \( \frac{1}{7.5} \) sec
c. The maximum acceleration of the particle is \( 0.04 \pi^{2} m / s^{2} \)
D. The force acting on the particle is zero when the displacement is 0.05m
Subject: Physics
A merry go round has a radius of \( 4 m \)
and completes a revolution in 2 s. Then
acceleration of a point on its rim will be:
\( \mathbf{A} \cdot 4 \pi^{2} \)
В . \( 2 \pi^{2} \)
\( \mathbf{c} \cdot \pi^{2} \)
D. zero
Subject: Chemistry
In an aqueous solution at \( 25^{\circ} \mathrm{C} \) has
twice as many \( O H^{-} \) as pure water its
\( p O H \) will be:
\( \mathbf{A} \cdot 6.699 \)
B. 7.307
\( c \cdot 7 \)
D. 6.98
Subject: Physics
In the equation \( \boldsymbol{y}= \)
\( \boldsymbol{A} \sin \left(\boldsymbol{k} \boldsymbol{x}-\boldsymbol{\omega} \boldsymbol{t}+\boldsymbol{\phi}_{0}\right) \) the term phase is
defined as:
\( A \cdot \phi_{0} \)
B. \( \phi_{0}-\omega t \)
c. \( k x+\phi_{0} \)
D. \( k x-\omega t-\phi_{0} \)
Subject: Maths
A semicircular piece of paper of radius \( 14 \mathrm{cm} \) is rolled to form a cone of the
largest possible size. Find the capacity
of the cone.
A \( \cdot 721.5 \mathrm{cm}^{3} \)
B. \( 645.10 \mathrm{cm}^{3} \)
c. \( 449.64 \mathrm{cm}^{3} \)
D. \( 622.37 \mathrm{cm}^{3} \)
Subject: Maths
The value of \( \sin \frac{\theta}{2} \cdot \sin \frac{7 \theta}{2}+ \)
\( \sin \frac{3 \theta}{2} \cdot \sin \frac{11 \theta}{2}-\sin 2 \theta \cdot \sin 5 \theta \) is equal
to
\( \mathbf{A} \cdot \mathbf{0} \)
B.
\( \mathbf{c} \cdot \sin 6 \theta-\cos 5 \theta \)
\( D \cdot \sin 6 \theta+\sin 7 \theta \)
Subject: Maths
Construct a quadrilateral \( J U M P \)
when: \( J U=3.5 \mathrm{cm}, U M= \)
\( \mathbf{4} \boldsymbol{c m}, \boldsymbol{M} \boldsymbol{P}=\mathbf{5} \boldsymbol{c m}, \boldsymbol{P} \boldsymbol{J}= \)
\( 4.5 \mathrm{cm}, P U=6.5 \mathrm{cm} \)
Subject: Maths
Three balls are drawn at random from a
collection of 7 white, 12 green and 4 red balls. The probability that each is different colour is
A \( \cdot \frac{48}{253} \)
в. \( \frac{64}{253} \)
c. \( \frac{23}{253} \)
D. \( \frac{56}{253} \)
Subject: Physics
To reduce the light reflected by the glass surface of a camera lens, the surface is
coated with a thin layer of another material which has an index of
refraction \( (\mu=7 / 4) \) smaller than that of glass. he least thickness of the layer, to ensure that light falling
perpendicularly on the surface and
having wavelengths, \( \lambda_{1}=700 n m \) and
\( \lambda_{2}=420 n m \) will be weekly reflected for
both wavelengths is \( x \times 10^{-7} \) m. Find \( x ? \)
Subject: Physics
In the figure, current through the \( 3 \Omega \)
resistor is 0.8 ampere, the potential
drop through \( 4 \Omega \) resistor is
A \( .9 .6 ~ V \)
B . \( 2.6 V \)
c. \( 4.8 V \)
D. \( 1.2 V \)
Subject: Maths
The projection of a directed line segment on the co-ordinate axes are
\( 12,4,3, \) the DC's of the line are
A \( \cdot \frac{-12}{13}, \frac{-4}{13}, \frac{-3}{13} \)
B. \( \frac{12}{13}, \frac{4}{13}, \frac{3}{13} \)
c. \( \frac{12}{13}, \frac{-4}{13}, \frac{3}{13} \)
D. \( \frac{12}{13}, \frac{4}{13}, \frac{-3}{13} \)
Subject: Maths
If the tangents of the angles \( A \) and \( B \) of \( a \) triangle \( A B C \) satisfy the equation
\( a b x^{2}-c^{2} x+a b=0, \) then
This question has multiple correct options
\( \mathbf{A} \cdot \tan A=\frac{a}{b} \)
B. \( \tan B=\frac{b}{a} \)
\( \mathbf{c} \cdot \cos C=0 \)
D. \( \sin ^{2} A+\sin ^{2} B+\sin ^{2} C=2 \)
Subject: Maths
\( \operatorname{Let} \boldsymbol{P}(\boldsymbol{n})=\boldsymbol{x}^{2 n-1}+\boldsymbol{y}^{2 n-1} \) is divisible
by \( \boldsymbol{x}+\boldsymbol{y} \) as \( \boldsymbol{P}(1) \) is true, then truth of
\( \boldsymbol{P}(\boldsymbol{k}+\mathbf{1}) \) indicates
A \( \cdot P(n) \) s divisible by \( x+y \) only for odd positive integer
B . \( P(n) \) is divisible by \( x+y \) only for positive even integer
c. \( P(n) \) is true \( \forall n \in N \)
D \cdot \( P(k) \) is true
Subject: Physics
Three simple harmonic motions in the
same direction having the same amplitude \( A \) and same period are superposed. If each differs in phase
from the next by \( 45^{0}, \) then
A . the resulting amplitude is \( (1+\sqrt{3}) A \)
B. the resulting motion is not simple harmonic
C. The energy associated with the resulting motion \( (3+ \) \( 2 \sqrt{2} \) ) times the energy associated with any single motion
D. The phase of the resultant motion relative to the first is \( 90^{\circ} \)
Subject: Chemistry
Which of the following statements are correct statement(s) about
pyrophosphoric acid \( \left(\boldsymbol{H}_{4} \boldsymbol{P}_{2} \boldsymbol{O}_{7}\right) \) ?
This question has multiple correct options
A. It contains P in +5 oxidation state
B. It is dibasic acid
c. It is a reducing agent
D. It contains one P-O-P bond
Subject: Physics
Two circular coils \( P \) and \( Q \) are kept
close to each other, of which coil \( \boldsymbol{P} \)
carries a current. If coil \( \boldsymbol{P} \) is moved
towards \( Q, \) will some current be
induced in coil \( Q \) ? Give the reason for
your answer and name the phenomenon involved.
Subject: Chemistry
A radioactive atom ' \( X^{\prime} \) emits a \( \beta- \)
particle to produce an atom ' \( Y \) ' which
then emits an \( \alpha \) -particle to given an
\( \operatorname{atom}^{\prime} Z^{\prime}: \)
(1) The atomic number of ' \( X^{\prime} \) is less
than that of \( ^{\prime} Z^{\prime} \)
(2) The atomic number of ' \( Y \) ' is less
than that of \( ^{\prime} Z^{\prime} \)
(3) The mass number of ' \( X^{\prime} \) is same as
that of ' \( Y \)
A. 1,2 and 3 are correct
B. 1 and 2 are correct
c. 2 and 3 are correct
D. 3 is correct
Subject: Maths
If \( \left[\sin ^{-1} \cos ^{-1} \sin ^{-1} \tan ^{-1} \theta\right]=1, \) where
[.] denotes the greatest integer function, the \( \theta \) lies in the interval
A. [tan sin cos \( 1, \text { sin tan } \cos \sin 1] \)
B. [sin tan cos \( 1, \text { tan } \sin \cos \sin 1] \)
c. \( [\tan \sin \cos 1, \tan \sin \cos \sin 1] \)
D. None of these
Subject: Maths
Find the integral value of \( x, \) if \( \left|\begin{array}{ccc}\boldsymbol{x}^{2} & \boldsymbol{x} & \mathbf{1} \\ \mathbf{0} & \boldsymbol{2} & \mathbf{1} \\ \boldsymbol{3} & \boldsymbol{1} & \boldsymbol{4}\end{array}\right|=\mathbf{2} \mathbf{8} \)
Subject: Physics
A solid maintained at \( t_{1}^{o} C \) is kept in an evacuated chamber at temperature
\( t_{2}^{o} C\left(t_{2}<<t_{1}\right) . \) The rate of heat
absorbed by the body is proportional to:
A \( \cdot t_{2}^{4}-t_{1}^{4} \)
B . \( \left(t_{2}^{4}+273\right)-\left(t_{1}^{4}+273\right) \)
c. \( t_{2}-t_{1} \)
D \( \cdot t_{2}^{2}-t_{1}^{2} \)
Subject: Physics
A ball is dropped on to a horizontal plate from a height \( h=9 \mathrm{m} \) above it. If the
coefficient of restitution is \( e=1 / 2, \) the
total distance travelled before the ball
comes to rest is
A . \( 10 \mathrm{m} \)
B. 15 \( m \)
\( c \cdot 20 m \)
D. 25 m
Subject: Maths
If \( x_{0} \) is the \( x \) -coordinate of the point of
inflection of curve \( y=f(x) \) then
(assume second derivative exists)
A \( \cdot f\left(x_{0}\right) \neq 0 \)
В \( \cdot f\left(x_{0}\right)=0 \)
C \( \cdot f^{\prime \prime}\left(x_{0}\right)=0 \)
D. \( f^{\prime \prime}\left(x_{0}\right) \neq 0 \)
Subject: Maths
Simplify :
\( [\mathbf{0 . 9}-\{\mathbf{2 . 3}-\mathbf{3 . 2}-(\mathbf{7 . 1}-\mathbf{5 . 4}-\mathbf{3 . 5})\}] \)
\( A \)
B. 0.9
\( c .0 .8 \)
\( D \)
Subject: Physics
Assertion
In the warmer liquid, the greater
number of molecules are energetic
enough to escape the surface during
evaporation.
Reason
Increase in temperature increases the
rate of evaporation.
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
Arrange the following in increasing order of lattice energy:
\( \mathrm{NaF}, \mathrm{NaCl}, \mathrm{NaBr}, \mathrm{Nal} \)
A. \( N a I<N a B r<N a C l< \) NaF
в. \( N a F<N a C l<N a B r<N a I \)
c. \( N a I<N a C l<B a B r<N a F \)
D. None of these
Subject: Physics
A ray of light incident on the interface of
the medium \( A \) and \( B \) and it passes
through medium \( B \) as shown in above
figure. Choose the correct option.
A. Medium 1 is more dense than medium 2
B. Medium 1 less dense than medium 2
C. The speed of the light in medium 1 is greater than the speed of the light in medium 2
D. The frequency of the light in medium 1 is greater than the frequency of the light in medium 2
E. The wavelength is the same in medium 1 and medium 2
Subject: Physics
Two resistance thermometers are
made, one of the platinum wire and the other of germanium wire. The resistance of both the thermometers
are equal at room temperatures. Now the two resistance wires are connected
to a battery. The two resistance wire
are heated to \( 100^{\circ} \mathrm{C} \). The potential drop
in the two resistance is measured.
Which of the following statements is
correct?
A. The potential drop across the platinum wire is equal to the potential drop across the germanium wire
B. The potential drop across platinum wire is greater than that across germanium
C. The potential drop across the platinum wire is less than that across germanium
D. The nature of the potential drop can be ascertained unless the magnitude of the current is known
Subject: Maths
Rohit's family is planning to build a
concrete basketball court in their
backyard. How many square metres will be left in the backyard for grass?
A. 60 sq. \( \mathrm{cm} \)
B. 35 sq. \( \mathrm{cm} \)
c. 31 sq. \( \mathrm{cm} \)
D. 24 sq. \( \mathrm{cm} \)
Subject: Physics
What describe the Einsteins equation
for the relativity of mass and energy?
A. a small amount of mass contains a lot of energy.
B. a small amount of energy can be converted into a large amount of mass.
C. a small amount of mass contains a small amount of
energy.
D. mass can be converted into energy, but energy cannot be converted mass.
E. energy can be converted into mass, but mass cannot be converted into energy.
Subject: Chemistry
1.575 gm of an organic acid was dissolved in \( 250 \mathrm{ml} \) of water. Further, 20 \( \mathrm{ml} \) of this solution required \( 16 \mathrm{ml} \) of \( \frac{N}{8} \) alkali solution for complete neutralisation. If the basicity of the acid
is \( 2, \) find its molecular mass.
Subject: Chemistry
Consider the equilibrium set up:
\( \mathbf{2} \boldsymbol{H}_{\mathbf{2}(\boldsymbol{g})}+\boldsymbol{C} \boldsymbol{O}_{(\boldsymbol{g})} \rightleftharpoons \boldsymbol{C} \boldsymbol{H}_{\boldsymbol{3}} \boldsymbol{O} \boldsymbol{H}_{(\boldsymbol{g})} \)
What will be the effect of the following on the equilibrium of the reaction?
(i) Addition of \( \boldsymbol{H}_{2} \)
(ii) Addition of \( \boldsymbol{C H}_{3} \boldsymbol{O H} \)
(iii) Removal of \( \mathrm{CO} \)
(iv) Removal of \( \boldsymbol{C} \boldsymbol{H}_{3} \boldsymbol{O} \boldsymbol{H} \)
A. (i) - Forward direction
(ii) - Backward direction (iii) Backward direction (iv) - Forward direction
B. (i) - Backward direction
(ii) - Backward direction (iii) Forward direction (iv) - Forward direction
c. (i) - Forward direction
(ii) - Forward direction (iii) Backward direction
(iv) - Backward direction
D. (i) - Backward direction
(ii) - Forward direction (iii) Forward direction (iv) - Backward direction
Subject: Biology
Refer to the given figure which represents a section of vascular bundle
as seen in \( \mathrm{T} \). S. of a monocot stem and
select the option that correctly labels
\( A, B, C \) and \( D \)
A. A-Protoxylem vessel, B-Metaxylem vessel, CProtoxylem cavity, D-Phloem
B. A-Protoxylem vessel, B-Metaxylem vessel, CMetaxylem cavity, D-Phloem
C. A-Metaxylem vessel, B-Protoxylem vessel, CProtoxylem cavity, D-Phloem
D. A-Metaxylem vessel, B-Protoxylem vessel, CProtoxylem cavity, D-Sclerenchyma
Subject: Physics
A resistance of \( 2 \Omega \) is connected across
one gap of a metrebridge ( the length of the wire is \( 100 \mathrm{cm} \) ) and an unknown
resistance, greater than \( 2 \Omega, \) is connected across the other gap. When
these resistance's are interchanged, the balance point shifts by \( 20 \mathrm{cm} \) Neglecting any corrections, the unknown resistance is:
A . \( 3 \Omega \)
B. \( 4 \Omega \)
\( c .5 \Omega \)
D. \( 6 \Omega \)
Subject: Chemistry
The Lassaigne's extract is boiled with
dil. \( H N O_{3} \) before testing for halogens because :
A. silver halides are soluble in \( H N O_{3} \)
B. \( N a_{2} S \) and \( N a C N \) are decomposed by \( H N O_{3} \)
\( \mathrm{c} \cdot A g_{2} S \) is soluble in \( \mathrm{HNO}_{3} \)
D. \( A g C N \) is soluble in \( H N O_{3} \)
Subject: Physics
The terminal velocity of a steel ball 2 \( \mathrm{mm} \) in diameter falling through glycerin
is \( 44 \times 10^{-2} \mathrm{cm} / \mathrm{s} \) (Given that specific
gravity of steel \( =8, \) specific gravity of steel =8, specific gravity of glycerin a
1.3, viscosity of glycerine 8.3 poise.)
Subject: Chemistry
Which of the following statements are
incorrect ?
This question has multiple correct options
\( \mathbf{A} \cdot \ln B_{2} H_{6}(s) \) there are four \( 2 c-2 e^{-} \) bonds
B. \( \ln \left(\text { Si } H_{3} \text { ) }_{3} \ddot{P} \) there is back bonding \right.
\( \mathrm{C} \cdot\left(C H_{3}\right)_{3} \ddot{N} \) and \( \left(S i H_{3}\right)_{3} \ddot{N} \) are pyramidal
D. \( A l_{2} C l_{6}(s) \) has banana bonding
Subject: Physics
Two long conductors, separated by a
distance \( \boldsymbol{d} \) carry currents \( \boldsymbol{I}_{1} \) and \( \boldsymbol{I}_{2} \) in
the same direction. They exert a force \( \boldsymbol{F} \)
on each other. Now the current in one of
them is increased to two times and its
direction is reversed. The distance is
also increases to \( 3 d \). The new value of
the force between them is:
A . \( -2 F \)
в. \( F / 3 \)
\( \mathrm{c} \cdot-2 F / 3 \)
D. \( -F / 3 \)
Subject: Physics
The work done to increase the radius of
orbit of a satellite of mass \( \boldsymbol{m} \) revolving around a planet of mass \( M \) from orbit of radius \( R \) into another orbit of radius
\( 3 R \) is :
\( ^{\mathrm{A}} \cdot \frac{2 G M m}{3 R} \)
в. \( \frac{G M m}{R} \)
c. \( \frac{G M m}{6 R} \)
D. \( \frac{G M m}{24 R} \)
Subject: Maths
Perimeter of a rectangular garden is \( 1.2 \times 10^{5} k m \) and length is \( 0.2 \times \)
\( 10^{5} k m . \) Find the area of the garden in
standard form.
\( \mathbf{A} \cdot 8 \times 10^{6} k m^{2} \)
B . \( 0.8 \times 10^{8} k m^{2} \)
c. \( 80 \times 10^{8} k m^{2} \)
D. \( 8.0 \times 10^{8} k m^{2} \)
Subject: Biology
Assertion
Old ladies are prone to osteoporosis.
Reason
Oestrogen at menopause also maintains calcium balance in the
bones and blood.
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
In the reduction of \( H N O_{3} \) to \( N_{2} O \) the
no.of moles of electrons involved per
mole of \( \boldsymbol{H} \boldsymbol{N} \boldsymbol{O}_{3} \) is :
\( A \cdot 8 \)
B. 4
\( c \cdot 3 \)
D. 6
Subject: Chemistry
Select the correct I.U.P.A.C name for
\( \boldsymbol{N} \boldsymbol{a}\left[\boldsymbol{C o}(\boldsymbol{C O})_{4}\right] \)
A. Sodium tetracarbonylcobalt (-I)
B. Sodium tetracarbonylcobalt (0)
c. Sodium tetracarbonylcobaltate (0)
D. sodium tetracarbonylcobaltate (-I)
Subject: Physics
A ring type flywheel of mass \( 100 k g \) and
diameter \( 2 m \) is rotating at the rate of \( \frac{5}{11} r e v / s . \) Then
A. the moment of inertia of the wheel is 100 kgm \( ^{-2} \).
B. the kinetic energy of rotation of the flywheel is \( 5 x \) \( 10^{3} J \)
C. the angular momentum associated with the flywheel is \( 10^{3} J s \)
D. the flywheel, if subjected to a retarding torque of \( 250 N m, \) will come to rest in \( 4 s \)
Subject: Chemistry
\( \boldsymbol{S} \boldsymbol{i} \boldsymbol{F}_{4}+\boldsymbol{H}_{2} \boldsymbol{O} \rightarrow \boldsymbol{A} \stackrel{1000^{\circ} \boldsymbol{C}}{\longrightarrow} \boldsymbol{B} \stackrel{N a_{2} C O_{3}}{\longrightarrow} \boldsymbol{C} \)
In the above reaction, identify \( B \) and \( C \) respectively:
A. \( H_{4} \) Si \( O_{4} \) and \( N a_{2} \) SiO \( _{3} \)
B. \( \operatorname{SiO}_{2} \) and \( N a_{2} S \)
\( c \cdot \operatorname{si0}_{2} \) and \( N a_{2} C O_{2} \)
D. \( \operatorname{si} 0_{2} \) and \( N a_{2} \) Si \( O_{3} \)
Subject: Physics
Two point size bodies of masses \( 20 g \)
\( 30 g \) are fixed at two ends of a light rod
of length \( 1.5 m . \) The moment of inertia of these two bodies about an axis
perpendicular to the length of rod and
passing through their center of mass is:
A. \( 1.8 \times 10^{-2} k g m^{2} \)
В. \( 2.7 \times 10^{-2} k g m^{2} \)
c. \( 4.5 \times 10^{-2} k g m^{2} \)
D. \( 6 \times 10^{-2} k g m^{2} \)
Subject: Maths
Frame a formula for the following
statement:
The Fahrenheit temperature \( F \) decreased by 32 is equal to nine-fifths of the centigrade temperature \( C \)
A \( \cdot F+32=\frac{9}{5} C \)
в. \( F-32=\frac{5}{9} C \)
c. \( \quad F-32=\frac{9}{5} C \)
D. none of the above
Subject: Chemistry
Statement 1: Trimethyl amine is more basic than trisilyl amine.

Statement 2: Silicon in trisilyl amine is more electronegative than carbon of trimethyl amine.
A. Statement 1 is True, statement 2 is True, statement 2 is a correct explanation of statement 1
B. Statement 1 is True, statement 2 is True, statement 2 is not a correct explanation of statement
c. Statement 1 is true, Statement 2 is False
D. Statement 1 is False, Statement 2 is True