AkshitPareek2004/jee-question-analyzer-data huggingface dataset:
Subject: Chemistry
Which of the following is weakly acidic?
В. \( 0.1 M \) NaCl
\( \mathrm{c} \cdot 0.1 \mathrm{M} \quad \mathrm{HC}_{2} \mathrm{H}_{3} \mathrm{O}_{2} \)
D. \( 0.1 M \quad C H_{3} O H \)
E. \( 0.1 M \) KOH
Subject: Physics
Two objects rest on a seesaw. The first
object has a mass of \( 3 \mathrm{kg} \) and rests 10
\( m \) from the pivot. The other rests \( 1 \mathrm{m} \)
from the pivot. What is the mass of the
second object if the seesaw is in equilibrium?
\( A \cdot 0.3 \mathrm{kg} \)
B. 3 kg
\( c \cdot 10 \mathrm{kg} \)
D. 30 kg
E. \( 50 \mathrm{kg} \)
Subject: Physics
Estimate whether it takes more energy
to get a satellite upto \( 1600 \mathrm{km} \) above the earth than to put in orbit there
earth's radius is \( 6400 \mathrm{km} \). Does your
answer remain same for height \( 3200 \mathrm{km} \)
or for height \( 4800 \mathrm{km} ? \)
Subject: Physics
Assertion: Falling raindrops acquire a terminal velocity.
Reason: A constant force in the
direction of motion and a velocity dependent force opposite to the direction of motion, always result in the acquisition of terminal velocity
A. If both Assmertion and Reason are true and the Reason is the correct explanation of the Assertion
B. If both Assertion and Reason are true but the Reason is not the correct explanation of the Assertion.
c. If Assertion is true statement but Reason is false
D. If both Assertion and Reason are false statements
Subject: Chemistry
The balanced molecular equation is :
A. \( C l_{2}+H_{2} O+N a_{2} S_{2} O_{3} \rightarrow N a_{2} S O_{4}+S+2 H C l \)
в. \( C l_{2}+N a_{2} S_{2} O_{3} \rightarrow 2 N a C l+N a_{2} S O_{4} \)
c. \( \quad C l_{2}+S_{2} O_{3}^{2-} \rightarrow S O_{4}^{2-}+S+C l \)
D. none of these
Subject: Maths
The eccentricity of the ellipse \( 12 x^{2}+ \) \( 7 y^{2}=84 \) is equal to:
A \( \frac{\sqrt{5}}{7} \)
B. \( \sqrt{\frac{5}{7}} \)
c. \( \frac{\sqrt{5}}{12} \)
D.
E. \( \frac{7}{12} \)
Subject: Physics
An open topped freight car of mass \( \mathbf{1 0}, \mathbf{0 0 0} \boldsymbol{k g} \) is coasting without friction along a level track in heavy rains, falling vertically downwards. Initially the car is empty and is moving with a velocity of \( 0.88 m / s . \) What is the velocity of the car after it has collected 1000 kg of water?
Subject: Maths
Let \( L \) be the set of all straight lines in
the Euclidean plane. Two lines \( l_{1} \) and \( l_{2} \)
are said to be related by the relation \( \boldsymbol{R} \) if
\( l_{1} \) is parallel to \( l_{2} \). Then the relation \( R \) is This question has multiple correct options
A. Reflexive
B. Symmetric
c. Transitive
D. Equivalence
Subject: Physics
A photo diode is made from a
semiconductor \( I n_{0.53} . \) As, with \( E_{g}=0.73 \)
eV. What is the maximum wavelength
which it can detect? \( \boldsymbol{h}=\mathbf{6 . 6 3} \times \)
\( 10^{-34} J_{s} \)
Subject: Maths
Solve the following equations by the substitution method
\( 11 x-8 y=27,3 x+5 y=-7 \)
A. \( x=0, y=1 \)
в. \( x=0, y=-5 \)
c. \( x=2, y=3 \)
D. \( x=1, y=-2 \)
Subject: Chemistry
The equilibrium constant for the given
reaction is 100 .
\( N_{2}(g)+O_{2}(g) \rightleftharpoons 2 N O_{2}(g) \)
What is the equilibrium constant for the reaction given below?
\( N O_{2}(g) \rightleftharpoons \frac{1}{2} N_{2}(g)+O_{2}(g) \)
A . 10
B.
c. \( 0 . \)
D. 0.01
Subject: Physics
Kinetic energy of the liquid per unit mass is
\( \mathbf{A} \cdot \frac{1}{2} m v^{2} \)
B \( \cdot \frac{1}{2} v^{2} \)
C \( \cdot \frac{1}{2} m^{2} v \)
D. \( m v^{2} \)
Subject: Maths
Let \( \boldsymbol{F}(\boldsymbol{x})=\boldsymbol{x}^{3}-\boldsymbol{3} \boldsymbol{x}+\mathbf{1} \)
find no. of real soln, of \( \boldsymbol{F}(\boldsymbol{F}(\boldsymbol{x}))=\mathbf{0} \)
Subject: Maths
\( \lim _{\boldsymbol{x} \rightarrow \mathbf{0}} \frac{(\mathbf{1}+\boldsymbol{x})^{\mathbf{1} / \mathbf{6}}-(\mathbf{1}-\boldsymbol{x})^{\mathbf{1} / \mathbf{6}}}{\boldsymbol{x}} \)
Subject: Physics
Between two plates charged to \( 10 q \) there is an electric field \( E, \) what acceleration
will a positively charged particle, with a charge of \( q \) and a mass of \( m \)
experience in this region, due only the electric field?
\( ^{\text {A } \cdot \frac{21 q E}{m}} \)
в. \( \frac{11 q E}{m} \)
\( ^{\mathbf{c}} \cdot \frac{10 q E}{m} \)
D. \( \frac{q E}{m} \)
Subject: Maths
n given figure, If \( \boldsymbol{E} \boldsymbol{F}\|\boldsymbol{D} \boldsymbol{C}\| \boldsymbol{A} \boldsymbol{B} \). prove
that \( \frac{\boldsymbol{A} \boldsymbol{E}}{\boldsymbol{E} \boldsymbol{D}}=\frac{\boldsymbol{B} \boldsymbol{F}}{\boldsymbol{F} \boldsymbol{C}} \)
Subject: Physics
The electric energy density between the plates of charged condenser is
A \( \cdot q / 2 \varepsilon_{0} A^{2} \)
В \( \cdot q / 2 \varepsilon_{0} A \)
\( \mathbf{c} \cdot q^{2} /\left(2 \varepsilon_{0} A^{2}\right) \)
D. none of these
Subject: Maths
Find the greatest value of \( \boldsymbol{f}(\boldsymbol{x})= \)
\( x^{2} \log x \) on \( [1, e] \)
\( \mathbf{A} \cdot \mathbf{0} \)
B \( \cdot e^{2} \)
c. \( e / 2 \)
D.
Subject: Physics
Newton's second law of motion and work
done in rotation of a rigid body can be
expressed as
A. Newton's law cannot be expressed in rotation, work done in rotation is \( W=\tau \) theta
B. Force and work done are expressed as \( \tau=I \alpha \) and \( W=\tau \) theta
c. Force can be expressed as \( \tau=I \alpha, \) while work done will
be zero
D. Force will be zero, since no net displacement is present
Subject: Chemistry
(t)-Sucrose has a specific rotation of \( +66.5, \) while \( D-(+) \) -glucose and D-(-)fructose have specific rotations of +52.5
and -92.4 respectively. After complete hydrolysis of (+)-sucrose by dilute acid, what will be the specific rotation of the hydrolysis product, called invert sugar [a 1: 1 mixture of \( D \) - \( (+) \) -glucose and \( D \) (-)-fructose] ?
\( A \cdot-39.9 \)
в. -72.4
\( c .-19.9 \)
D. -34.9
Subject: Maths
The given figure is made up of identical
squares. Find the area of the shaded
region.
\( A \cdot 50 \mathrm{cm}^{2} \)
B. \( 54 \mathrm{cm}^{2} \)
\( \mathrm{c} \cdot 58 \mathrm{cm}^{2} \)
D. \( 52 \mathrm{cm}^{2} \)
Subject: Physics
In electromagnetic spectrum, the
frequencies of \( \gamma \) -rays and ultraviolet
rays are denoted by \( n_{1}, n_{2} \) and \( n_{3} \) respectively then.
A \( \cdot n_{1}>n_{2}>n_{3} \)
в. \( n_{1}<n_{2}<n_{3} \)
c. \( n_{1}>n_{2}<n_{3} \)
D. \( n_{1}<n_{2}>n_{3} \)
Subject: Chemistry
The hydrides of the first elements in
groups \( 15-17, \) namely \( N H_{3}, H_{2} O \) and \( H F \) respectively, show abnormally high
values for melting and boiling points. This is due to:
A. small size of \( N, O \) and \( F \)
B. the ability to form extensive intermolecular \( H \) bonding
c. the ability to form extensive intramolecular \( H \) bonding
D. effective van der Waal's interaction
Subject: Maths
ff \( f(x)+f(1-x)=10, \) then the value
of \( \boldsymbol{f}\left(\frac{1}{10}\right)+\boldsymbol{f}\left(\frac{2}{10}\right)+\ldots \ldots \ldots+\boldsymbol{f}\left(\frac{9}{10}\right) \) is
A . 45
B . 50
\( c .90 \)
D. Cannot be determined
Subject: Chemistry
Which of the following pairs of solutions are expected to be isotonic, temperature being the same?
A \( \cdot 0.1 \mathrm{M} \) glucose and \( 0.1 \mathrm{M} \mathrm{C}_{6} \mathrm{H}_{5} \mathrm{N}^{+} \mathrm{H}_{3} \mathrm{Cl} \)
B. \( 0.1 \mathrm{M} \) NaCl and \( 0.05 \mathrm{M} \) BaCl ,
c. \( 0.1 \mathrm{M} \mathrm{Na}_{2} \mathrm{SO}_{4} \) and \( 0.1 \mathrm{M} \mathrm{KNO} \)
D. \( 0.1 \mathrm{M} \) BaCl\( _{2} \) and \( 0.075 \mathrm{M} \) FeCl\( _{3} \),
Subject: Physics
The drift velocity of electrons in silver
wire with cross-sectional area \( 3.14 \times \)
\( 10^{-6} m^{2} \) carrying a current of \( 20 A \) is.
Given atomic weight of \( \boldsymbol{A} \boldsymbol{g}=\mathbf{1 0 8} \)
density of silver \( =10.5 \times 10^{3} k g / m^{3} \)
A . \( 2.798 \times 10^{-4} \mathrm{m} / \mathrm{sec} \)
в. \( 67.98 \times 10^{-4} \mathrm{m} / \mathrm{sec} \)
c. \( 0.67 \times 10^{-4} \mathrm{m} / \mathrm{sec} \)
D. \( 6.798 \times 10^{-4} \mathrm{m} / \mathrm{sec} \)
Subject: Chemistry
Reaction
Appearance \( \boldsymbol{H} \boldsymbol{C} \)
Dull gray solid \( \quad \) Dissolved Unknown metal #1 with white lid of clear ğ oxide coating
Solid; Iustrous, Unknown metal #2 smooth silver- \( \quad \) No Reacti
gray surface
Unknown metal #2 could be:
A. silver
B. copper
\( c \cdot \) zinc
D. sodium
Subject: Physics
A body of mass \( m \) is projected with
initial speed \( u \) at an angle \( \theta \) with the
horizontal. The change in momentum of body after time \( t \) is
A \( . m u \sin \theta \)
B . \( 2 m u \sin \theta \)
\( \mathrm{c} \cdot m g t \)
D. zero
Subject: Physics
If a magnet is suspended at angle \( 30^{\circ} \) to the magnet meridian, the dip of
needle makes angle of \( 45^{\circ} \) with the horizontal, the real dip is
\( ^{A} \cdot \tan ^{-1}\left(\frac{\sqrt{3}}{2}\right) \)
B \( \cdot \tan ^{-1}(\sqrt{3}) \)
\( ^{\mathrm{c}} \tan ^{-1}(\sqrt{\frac{3}{2}}) \)
D \( \cdot \tan ^{-1}\left(\frac{2}{\sqrt{3}}\right) \)
Subject: Chemistry
The catalytic decomposition of \( \boldsymbol{H}_{2} \boldsymbol{O}_{2} \)
was studied by titrating it at different
intervals with \( K M n O_{4} \) and the
following data were obtained:
\( \boldsymbol{t}(\text {seconds}) \)
\( \mathbf{0} \)
\( \boldsymbol{V} \boldsymbol{o} \boldsymbol{f} \boldsymbol{K} \boldsymbol{M} \boldsymbol{n} \boldsymbol{O}_{4}(\boldsymbol{m} \boldsymbol{L}) \quad \mathbf{2 2 . 8} \quad \mathbf{1 3 . 8} \)
Calculate the velocity constant for the reaction assuming it to be a first order reaction.
Subject: Chemistry
A volume of gaseous hydrocarbon was exploded with an excess of oxygen. The
observed contraction was \( 2.5 V \), and on
treatment, with potash, there was a
further contraction of \( 2 V . \) What is the
molecular formula of the hydrocarbon?
A. \( C_{2} H_{6} \)
в. \( C_{3} H_{6} \)
c. \( C_{6} H_{10} \)
D. \( C_{2} H_{4} \)
Subject: Maths
If \( s_{n}=\sum_{n=1}^{n} \frac{1+2+2^{2}+\ldots t o n t e r m s}{2^{n}} \) then \( s_{n} \)
is equal to
A \( \cdot 2^{n}-(n+1) \)
B. \( 1-\frac{1}{2^{n}} \)
c. \( _{n-1}+\frac{1}{2^{n}} \)
D. \( 2^{n}-1 \)
Subject: Chemistry
Which of the following pairs is not
correctly matched?
A. Allotropic form of sulphur which is more stable at room temperature - Rhombic
B. The hydride of group 16 which is liquid at room temperature - Water
C. The gas formed in the upper layers of atmosphere by action of U V radiations - Nitrogen
D. The catalyst used in the manufacture of \( H_{2} S O_{4} \) by contact process - Vanadium pentoxide
Subject: Chemistry
Assertion: A buffer has a definite pH
value which changes, on keeping it or on diluting it. Reason: A buffer solution is a mixture
consisting of a weak acid and its conjugate base or vice versa.
A. Both Assertion and Reason are true and Reason is the correct explanation of Assertion
B. Both Assertion and Reason are true but Reason is not the correct explanation of Assertion
c. Assertion is true but Reason is false
D. Assertion is false but Reason is true
Subject: Maths
The argument of the complex number \( \sin \frac{6 \pi}{5}+i\left(1+\cos \frac{6 \pi}{5}\right) \) is
A \( \cdot \frac{6 \pi}{5} \)
в. \( \frac{5 \pi}{6} \)
c. \( \frac{9 \pi}{10} \)
D. \( \frac{2 \pi}{5} \)
Subject: Physics
The average kinetic energy of a simple harmonic oscillator with respect to
mean position will be:
A \( \frac{k a^{2}}{6} \)
в. \( \frac{k a^{2}}{4} \)
c. \( \frac{k a^{2}}{3} \)
D. \( \frac{k a^{2}}{2} \)
Subject: Maths
Adj \( \left[\begin{array}{ccc}1 & 0 & 2 \\ -1 & 5 & -2 \\ 0 & 2 & 1\end{array}\right]= \)
\( \left[\begin{array}{ccc}\mathbf{9} & \boldsymbol{a} & \mathbf{- 2} \\ \mathbf{- 1} & \mathbf{1} & \mathbf{0} \\ \mathbf{- 2} & \mathbf{2} & \boldsymbol{b}\end{array}\right] \Rightarrow\left[\begin{array}{ll}\boldsymbol{a} & \boldsymbol{b}\end{array}\right]= \)
\( \left.\begin{array}{ll}\text { A. }[-4 & 5\end{array}\right] \)
B \( \cdot\left[\begin{array}{ll}-4 & -1\end{array}\right] \)
\( \mathbf{c} \cdot\left[\begin{array}{ll}4 & 1\end{array}\right] \)
D・[4 -1
Subject: Physics
A copper wire of negligible mass, \( 1 m \)
length and cross-sectional area \( 10^{-6} m^{2} \)
is kept on a smooth horizontal table
with one end fixed. A ball of mass \( 1 k g \) is
attached to the other end. The wire and
the ball are rotating with an angular velocity of 20 rad/s. If the elongation in the wire is \( 10^{-3} m . \) Find the Young's
modulus of the wire (in terms of
\( \mathbf{1 0}^{11} \mathbf{N} / \boldsymbol{m}^{2} \mathbf{)} \)
Subject: Chemistry
Consider a fuel cell supplied with 1 mol
of \( H_{2} \) gas and 10 moles of \( O_{2} \) gas. If fuel
cell is operated at 96.3 m \( A \) current, how long will it deliver power? (Assume \( 1 F=96500 C / \)mol of
electrons)
\( \mathbf{A} \cdot 1 \times 10^{6} s \)
B . \( 0.5 \times 10^{6} s \)
C \( .2 \times 10^{6} s \)
D. \( 4 \times 10^{6} s \)
E . \( 5 \times 10^{6} \)
Subject: Chemistry
The freezing point depression of 0.1 molal solution of acetic acid in benzene
is \( 0.256 \mathrm{K}, K_{f} \) for benzene is \( 5.12 K K g m o l^{-1} . \) What condition can
you draw about the molecular state of
acetic acid in benzene?
A. Acetic acid is doubly associated
B. Benzene is doubly associated
c. Both are equally associated
D. None of the above
Subject: Maths
For the function \( \boldsymbol{f}(\boldsymbol{x})=\boldsymbol{x}^{3}-\boldsymbol{6} \boldsymbol{x}^{2}+ \)
\( \boldsymbol{a} \boldsymbol{x}+\boldsymbol{b} . \) If Rolle's theorem holds in \( [\mathbf{1}, \boldsymbol{3}] \)
with \( c=2+\frac{1}{\sqrt{3}} \) then \( (a, b) \)
A \( \cdot(11,12) \)
B . (11,11)
c. \( (11, \text { any real value }) \)
D. (any real value, 0 )
Subject: Maths
\( \left[\begin{array}{ccc}10 & 20 & 30 \\ 20 & 45 & 80 \\ 30 & 80 & 171\end{array}\right]= \)
\( \left[\begin{array}{lll}1 & 0 & 0 \\ 2 & 1 & 0 \\ 3 & 4 & 1\end{array}\right]\left[\begin{array}{lll}x & 0 & 0 \\ 0 & 5 & 0 \\ 0 & 0 & 1\end{array}\right]\left[\begin{array}{lll}1 & 2 & 3 \\ 0 & 1 & 4 \\ 0 & 0 & 1\end{array}\right] \) then
\( \boldsymbol{x}= \)
\( A \cdot 10 \)
B. 20
\( c \cdot 30 \)
D. 40
Subject: Physics
In a glass sphere, there is a small
bubble \( 22 \times 10^{-2} \mathrm{m} \) from its centre. If the
bubble is viewed along a diameter of the sphere, from the side on which it lies. The distance from the surface
where it appears is
(The radius of glass sphere is \( 25 \times 10^{-2} \)
\( \mathrm{m} \) and refractive index of glass is 1.5
A . 22.5 \( \times 10^{-2} \mathrm{m} \)
B. 23.2 \( \times 10^{-2} \mathrm{m} \)
\( c \cdot 26.5 \times 10^{-2} \mathrm{m} \)
D. 20.2 \( \times 10^{-2} \mathrm{m} \)
Subject: Maths
Let \( \boldsymbol{A}=\{\mathbf{1}, \mathbf{3}, \mathbf{3}, \mathbf{1}\} \) and \( \boldsymbol{B}=\{\mathbf{1}, \boldsymbol{4}\} \)
then:
\( \mathbf{A} \cdot A \neq B \)
в. \( A=B \)
\( c \cdot A \subset B \)
D. \( B \subset A \)
Subject: Physics
A uniform wire of length I and mass \( \mathrm{M} \) bented in the shape of semicircle of
radius \( r \) as shown in figure.Calculate moment of inertia about \( X X^{\prime} \)
A \( \cdot \frac{M l^{2}}{2 \pi^{2}} \)
в. \( \frac{4 M l^{2}}{\pi^{2}} \)
c. \( \frac{4 M l^{2}}{4 \pi^{2}} \)
D. None of the above
Subject: Chemistry
The incorrect statement about
deuterium is:
\( A \cdot \) it is an isotope of hydrogen
B \( \cdot \) it contains \( \left[\left(1 e^{-}\right)+\left(1 p^{+}\right)+(1(n)]\right. \)
C \cdot it contains \( \left[\left(1 p^{+}\right)+(1(n)]\right. \)
D. \( D_{2} O \) is called heavy water
Subject: Chemistry
The magnetic nature of elements depends on the presence of unpaired electrons. Identify the configuration of transition elements which shows
highest magnetic momentum:
\( \mathbf{A} \cdot 3 d^{7} 4 s^{2} \)
B. \( 3 d^{5} 4 s^{1} \)
c. \( 3 d^{8} 4 s^{2} \)
D. \( 3 d^{2} 4 s^{2} \)
Subject: Chemistry
Which of the following is correct statement regarding \( N\left(C H_{3}\right)_{3} \) and
\( N\left(S i H_{3}\right)_{3} ? \)
A \( \cdot N\left(S i H_{3}\right)_{3} \) is planar and more basic than \( N\left(C H_{3}\right)_{3} \)
B. \( N\left(S i H_{3}\right) \) ) is planar and less basic than \( N\left(C H_{3}\right) \) 3
C. \( N\left(C H_{3}\right)_{3} \) is planar and more basic than \( N\left(S i H_{3}\right)_{3} \)
D. \( N\left(C H_{3}\right)_{3} \) is pyramidal and less basic than \( N\left(S i H_{3}\right)_{3} \)
Subject: Physics
An artificial satellite of mass \( m \) is
moving in circular orbit at a height equal to the radius \( R \) of the earth.
Suddenly due to internal explosion the satellite breaks into two parts of equal pieces. One part of the satellite stops just after the explosion. The increase in the mechanical energy of the system due to explosion will be (Given:
acceleration due to gravity on the surface of earth is \( g \) )
A. \( m g R \)
в. \( \frac{m g R}{2} \)
c. \( \frac{m g R}{4} \)
D. \( \frac{3 m g R}{4} \)
Subject: Chemistry
Electrolyte \( \quad K C l \quad K N O_{3} \) \( \boldsymbol{H} C l \)
\[
\begin{array}{ll}
\Lambda_{\left(S c m^{2}\right.}^{\Lambda \infty}_{\left.m o l^{-1}\right)}^{\infty} & 149.9
\end{array}
\]
\( 426 . \)
Calculate \( \Lambda^{\infty}_{H O A c} \) using appropriate molar conductances of the electrolytes
listed above at infinite dilution in \( \boldsymbol{H}_{2} \boldsymbol{O} \)
\( \operatorname{at} 25^{\circ} C \)
\( \mathbf{A} \cdot 517.2 \)
B. 552.7
c. 390.7
D. 217.5
Subject: Maths
In a bolt factory, machines \( A, B \) and \( C \)
manufacture \( 25 \%, 35 \%, 40 \% \)
respectively. Of the total of their output \( 5 \%, 4 \% \) and \( 2 \% \) are defective. A bolt is
drawn and is found to be defective.
What are the probabilities that it was
manufactured by the machines \( A, B, C \)
\( \mathbf{A} \cdot \frac{25}{69}, \frac{28}{69}, \frac{16}{69} \)
B. \( \frac{28}{69}, \frac{25}{69}, \frac{16}{69} \)
C \( \cdot \frac{25}{69}, \frac{16}{69}, \frac{28}{69} \)
D. \( \frac{16}{69}, \frac{28}{69}, \frac{25}{69} \)
Subject: Maths
Construct a \( \triangle \boldsymbol{A B C}, \boldsymbol{A B}= \)
\( \mathbf{6 c m}, \boldsymbol{B C}=\mathbf{7} \mathbf{c m} \) and \( \angle \boldsymbol{A}=\mathbf{6 0}^{\circ} \)
Subject: Chemistry
Consider the reaction:
\[
\begin{array}{l}
\boldsymbol{C l}_{2}(\boldsymbol{a} \boldsymbol{q})+\boldsymbol{H}_{2} \boldsymbol{S}(\boldsymbol{a} \boldsymbol{q}) \rightarrow \boldsymbol{S}(\boldsymbol{s})+ \\
\boldsymbol{2} \boldsymbol{H}^{+}(\boldsymbol{a} \boldsymbol{q})+\boldsymbol{2} \boldsymbol{C l}^{-}(\boldsymbol{a} \boldsymbol{q})
\end{array}
\]
The rate equation for this reaction is
rate \( =\boldsymbol{k}\left[\boldsymbol{C l}_{2}\right]\left[\boldsymbol{H}_{2} \boldsymbol{S}\right] \)
Which of these mechanisms is /are
consistant with this rate equation?
\( (\mathbf{A}) \boldsymbol{C l}_{2}+\boldsymbol{H}_{2} \boldsymbol{S} \rightarrow \boldsymbol{H}^{+}+\boldsymbol{C l}^{-}+\boldsymbol{C l}^{+}+ \)
\( \boldsymbol{H} \boldsymbol{S}^{-} \quad(\text { slow }) \)
\[
\boldsymbol{C l}^{+}+\boldsymbol{H} \boldsymbol{S}^{-} \rightarrow \boldsymbol{H}^{+}+\boldsymbol{C l}^{-}+\boldsymbol{S}
\]
(fast)
(B) \( \boldsymbol{H}_{2} \boldsymbol{S} \rightleftharpoons \boldsymbol{H}^{+}+\boldsymbol{H} \boldsymbol{S}^{-} \)
(fast equilibrium)
\[
\boldsymbol{C l}_{2}+\boldsymbol{H} \boldsymbol{S}^{-} \rightarrow \boldsymbol{2} \boldsymbol{C l}^{-}+\boldsymbol{H}^{+}+\boldsymbol{S}
\]
(slow)
A. B only
B. Both A and B
C. Neither A nor B
D. A only
Subject: Physics
The average human eye sees colors with
wavelength between \( 430 n m \) to \( 680 n m \)
For what visible wavelength(s) will a \( 350 n m \) thick \( (n=1.35) \) soap film
produce maximum destructive
interference?
A. \( 945 n m \)
В. \( 473 n m \)
\( c .315 n m \)
D. None of these
Subject: Chemistry
Which is true regarding an aqueous
Solution of \( \boldsymbol{H}_{3} \boldsymbol{P} \boldsymbol{O}_{4} \) at \( \boldsymbol{2} \boldsymbol{5}^{\boldsymbol{O}} \boldsymbol{C} \boldsymbol{?} \)
A. It has a very large acid ionization constant
B. It has a bitter taste
C. The concentration of \( \left[O H^{-}\right]>1.0 \times 10^{-7} \mathrm{M} \)
D. It is a weak electrolyte
E. It can be formed by the reaction of a metal oxide and water
Subject: Physics
Assertion
A photocell is called an electric eye.
Reason
When light is incident on some
semiconductor its electrical resistance
is reduced
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
The yellow coloured solution of chromate salt changes to orange colour on acidification due to the formation of :
A \( \cdot C r^{3} \)
B. \( C r_{2} O_{7}^{2} \)
\( \mathrm{c} \cdot \mathrm{Cr} \mathrm{O}_{4} \)
\( \mathrm{D} \cdot \mathrm{Cr}_{2} \mathrm{O}_{3} \)
Subject: Chemistry
The order of the stability of dihalides of Si, Ge, Sn and Pb changes in sequence:
A. \( S i X_{2}<S n X_{2}<G e X_{2}<P b X_{2} \)
в. \( \operatorname{SiX}_{2}<\operatorname{Ge} X_{2}<\operatorname{SnX}_{2}<\operatorname{PbX}_{2} \)
c. \( P b X_{2}<\operatorname{SnX}_{2}<\operatorname{GeX}_{2}<\operatorname{SiX}_{2} \)
D. \( G e X_{2}<\operatorname{Si} X_{2}<\operatorname{Sn} X_{2}<P b X_{2} \)
Subject: Maths
\( \mathbf{f} \mathbf{f}_{\mathbf{3}}=\left[\begin{array}{ccc}\mathbf{0} & \mathbf{1} & \mathbf{- 1} \\ \mathbf{2} & \mathbf{1} & \mathbf{3} \\ \mathbf{3} & \mathbf{2} & \mathbf{1}\end{array}\right], \) then
\( \left[\boldsymbol{A}(\boldsymbol{a} \boldsymbol{d} \boldsymbol{j} \boldsymbol{A}) \boldsymbol{A}^{-1}\right] \boldsymbol{A}= \)
\( \mathbf{A} \cdot\left[\begin{array}{lll}6 & 0 & 0 \\ 0 & 6 & 0 \\ 0 & 0 & 6\end{array}\right] \)
\( \mathbf{B} \cdot\left[\begin{array}{lll}4 & 0 & 0 \\ 0 & 4 & 0 \\ 0 & 0 & 4\end{array}\right] \)
\( \mathbf{C} \cdot\left[\begin{array}{lll}2 & 0 & 0 \\ 0 & 2 & 0 \\ 0 & 0 & 2\end{array}\right] \)
D. \( I \)
Subject: Physics
Ten grams of \( C o^{57} \) kept in open
container beta-decays with half life of 270 days. The weight of the material in container after 540 days will be very nearly.
\( A \cdot 10 g m \)
B. \( 5 \mathrm{gm} \)
c. \( 2.5 \mathrm{gm} \)
D. \( 1.25 \mathrm{gm} \)
Subject: Maths
Find the approximate value of \( \angle A \) in
\( \Delta A B C \) if \( 8 \angle A=9 \angle B=4 \angle C \)
A \( .40^{\circ} \)
B. \( 74^{\circ} \)
\( c \cdot 86^{\circ} \)
D. \( 46.3^{\circ} \)
Subject: Physics
A bomb of \( 12 k g \) divides in two parts
whose ratio of masses is \( 1: 3 . \) If kinetic
energy of smaller part is \( 216 J \), then
momentum of bigger part in \( k g- \)
\( \boldsymbol{m} / \boldsymbol{s e c} \) will be
A . 36
B. 72
c. 108
D. Data is incomplete
Subject: Biology
Which of the following conversions involve ATP synthesis during glycolysis?
A. Glucose \( \rightarrow \) Glucose- 6 -phosphate
B. Fructose-6-phosphate\rightarrowFructose-1,6-biphosphate
c. 1,3 -bisphosphoglyceric acid (BPGA) \( \rightarrow 3- \) phosphoglyceric acid (PGA)
D. All of these
Subject: Physics
The equation \( \boldsymbol{y}= \) \( 5 \sin (3 x / 50) \cos (450 t) \) represents the
stationary wave setup in a vibrating sonometer wire, where \( x, y \) are in \( c m \) and \( t \) in second. The velocity of
one of the two progressive waves in that stationary wave is
A. \( 2.7 m s-1 \)
B. \( 27 m s^{-1} \)
c. \( 7.5 m s^{-1} \)
D. \( 75 \mathrm{ms}^{-1} \)
Subject: Maths
\( \operatorname{Let} \boldsymbol{A}=\left(\begin{array}{cc}\boldsymbol{x}+\mathbf{2} & \mathbf{3} \boldsymbol{x} \\ \boldsymbol{3} & \boldsymbol{x}+\mathbf{2}\end{array}\right), \boldsymbol{B}= \)
\( \left(\begin{array}{cc}\boldsymbol{x} & \mathbf{0} \\ \mathbf{5} & \boldsymbol{x}+\mathbf{2}\end{array}\right) . \) Then all solutions of the
equation \( \operatorname{det}(A B)=0 \) is
A. 1,-1,0,2
B. 1,4,0,-2
c. 1,-1,4,3
D. -1,4,0,3
Subject: Biology
A man with blood group AB' marries a woman with \( 0^{\prime} \) blood group. In this
situation
A. The blood groups of their children will be the same as that of the mother
B. The blood group of the children differs from both the
parents
C. While \( 50 \% \) of children will have father's blood group, the remaining will have mother's blood group
D. None of the above