AkshitPareek2004/jee-question-analyzer-data huggingface dataset:
Subject: Chemistry
\( 13.8 g \) of \( N_{2} O_{4} \) was placed in a \( 1 L \)
reaction vessel at \( 400 \mathrm{K} \) and allowed to
attain equilibrium \( N_{2} O_{4}(g) \rightleftharpoons \)
\( \mathbf{2} \boldsymbol{N} \boldsymbol{O}_{2}(\boldsymbol{g}) \)
The total pressure at equilibrium was found to be 9.15 Bar. Calculate \( K_{c}, K_{p} \) and partial pressure at equilibrium.
Subject: Physics
if a certain car, going with speed \( v_{1} \)
, rounds a level curve with a radius \( \boldsymbol{R}_{1} \) it
is just on the verge of skidding.if its speed is now doubled, the radius of the tightest curve on the same road tht it can round without skidding is:
\( \mathbf{A} \cdot 2 R_{1} \)
в. \( 4 R_{1} \)
c. \( \frac{R_{1}}{2} \)
D. \( \frac{r_{1}}{4} \)
Subject: Chemistry
The bond angle and hybridization in
ether \( \left(\boldsymbol{C H}_{3} \boldsymbol{O C H}_{3}\right) \) is:
A . \( 106^{\circ} 51, s p^{3} \)
B . \( 104^{\circ} 31, s p^{3} \)
\( \mathbf{C} \cdot 110^{\circ}, s p^{3} \)
D. None of these
Subject: Physics
A resistor and an inductor are
connected to an ac supply of \( 120 \mathrm{V} \) and \( \mathbf{5 0} \boldsymbol{H} z . \) The current in the circuit is \( \mathbf{3} \boldsymbol{A} \)
If the power consumed in the circuit is \( 108 W, \) then the resistance in the
circuit is
A. \( 12 \Omega \)
в. \( 40 \Omega \)
c. \( \sqrt{(52 \times 28)} \),
D. \( 360 \Omega \)
Subject: Chemistry
Assertion
Number of waves in an orbit of atom is
equal to number of that orbit,
Reason
Number of waves in an orbit is derived by \( \frac{2 \pi r_{n}}{\lambda} \)
Read the above assertion and reason
and choose the correct option regarding
¡t
A. Statement is correct but Explanation is wrong.
B. Statement is wrong but Explanation is correct.
c. Both Statement and Explanation are correct and Explanation is the correct explanation for Statement
D. Both Statement and Explanation are correct but Explanation is not the correct explanation for Statement
Subject: Chemistry
Assertion
\( H_{2} O \) is stronger acid than \( D_{2} O \)
Reason
At \( 25^{\circ} \mathrm{C} \) ionic product of water is \( 1.0 \times \)
\( 10^{-14} \) and that of \( D_{2} O \) is \( 1.35 \times 10^{-15} \)
Read the above assertion and reason
and choose the correct option regarding
¡t.
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
A solid cylinder of mass \( 2 \mathrm{Kg} \) and radius
\( 0.2 \mathrm{m} \) is rotating about its own
axis without friction with angular
velocity 3 rad/s. A particle of mass 0.5
\( \mathrm{Kg} \) and moving with a velocity of \( 5 \mathrm{m} / \mathrm{s} \) strikes the cylinder and sticks to it as
shown in. The velocity of the system after the particle sticks it will be
A. 0.3 radians/sec
B. 5.3 radians/sec
c. 10.3 radians/sec
D. 8.3 Radians/sec
Subject: Maths
If \( \tan \theta=\frac{p}{q} \) then \( \frac{p \sin \theta-q \cos \theta}{p \sin \theta+q \cos \theta}= \)
A. \( \frac{p^{2}-q^{2}}{p^{2}+q^{2}} \)
в. \( \frac{q^{2}-p^{2}}{q^{2}+p^{2}} \)
\( ^{\text {c. }} \cdot \frac{p^{2}+q^{2}}{p^{2}-q^{2}} \)
D.
Subject: Physics
A person observes that rain strikes him
normally when he is moving with 2 kmph. When he reverses his direction and moves with the same speed, the
rain will strike him at an angle \( 45^{\circ} \) with the vertical. Determine the true velocity of rainfall is?
A \( \cdot 2 \sqrt{5} \) kmph
B. \( \sqrt{2} \) kmph
c. \( 5 \sqrt{2} \) kmph
D. \( \sqrt{5} \) kmph
Subject: Chemistry
Select the correct order of
polymerization tendency from the following:
A. \( S i-O>P-O>S-O>C l-O \)
в. \( P-O>S-O>C l-O>S i-O \)
c. \( C l-O>S-O>P-O>s i-O \)
D. \( s i-O<P-O<S-O<C l-O \)
Subject: Maths
In the given figure, \( \angle B=65^{\circ} \) and
\( \angle C=45^{\circ} \) in \( \triangle A B C \) and \( D A E \| B C . \) If
\( \angle D A B=x^{o} \) and \( \angle E A C=y^{o} \) and
\( \angle E A C=y^{o}, \) find the values of \( x \) and \( y \)
Subject: Chemistry
Conjugate base of \( H C l \) in the following reaction is:
\( \boldsymbol{H} \boldsymbol{C l}(\boldsymbol{a} \boldsymbol{q})+\boldsymbol{H}_{2} \boldsymbol{O} \rightarrow \boldsymbol{C l}^{-}(\boldsymbol{a q})+\boldsymbol{H}_{3} \boldsymbol{O}^{+} \)
A \( \cdot H_{3} O^{+} \)
в. \( H_{2} O \)
c. \( C l^{-} \)
D. нс
Subject: Physics
Figure shows a cross-section of a long
ribbon of width \( \omega \) that is carrying a
uniformly distributed total current \( i \) into the page. Calculate the magnitude and direction of the magnetic field \( \vec{B} \) at a point \( P \) in the plane of the ribbon at a distance d from its edge.
\[
\begin{array}{ll}
P & x \times x \cdot x \times x \times x \times x \\
& d
\end{array}
\]
Subject: Physics
Assertion
A positively charged particle always moves along the electric lines of forces.
Reason
Force on a charged particle is tangential to the electric lines of force.
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 plane side of a thin plano-convex
lens with radius of curvature \( 20 \mathrm{cm} \) is
silvered to obtain a concave mirror. An
object is located at a distance of \( 25 \mathrm{cm} \) in front of this mirror. The distance of
the image from the mirror is \( (\mu=1.5) \)
A . \( 100 \mathrm{cm} \)
в. \( \frac{100}{11} \mathrm{cm} \)
\( c \cdot 6.25 c m \)
D. \( \frac{100}{9} \mathrm{cm} \)
Subject: Maths
Total sales of branch \( B_{6} \) for both the
years is what percent of the total
sales of branch \( B_{3} \) for both the years?
A. \( 68.54 \% \)
в. \( 71.11 \% \)
\( c .73 .17 \% \)
D. \( 75.55 \% \)
Subject: Physics
A car is standing \( 200 m \) behind a bus,
which is also at rest. The two start
moving at the same instant but with
different forward accelerations. The bus
has acceleration \( 2 m / s^{2} \) and the car has
acceleration \( 4 m / s^{2} . \) The car will catch up with the bus after a time of:
A. \( \sqrt{110 s} \)
s
В. \( \sqrt{120 s} \)
c. \( 10 \sqrt{2} s \)
D. \( 15 s \)
Subject: Chemistry
Calculate the degree of ionization of
\( 0.05 \mathrm{M} \) acetic acid if its \( \boldsymbol{P} \boldsymbol{K}_{\boldsymbol{a}} \) value is
4.74. How is the degree of dissociation
affected when its solution also contains
(a) \( 0.01 \mathrm{M} \)
(b) \( 0.1 \mathrm{M} \) in \( H C l ? \)
Subject: Maths
If \( a \) and \( b \) are real numbers, find the
value of \( b, \) if \( (a+b)+5 i=9+a i \) and
given that \( i^{2}=-1 \)
A . 4
B. 5
\( c .9 \)
D. \( 4+5 i \)
E. \( 5+4 i \)
Subject: Physics
A 2 MeV proton is moving perpendicular to uniform magnetic field of 2.5 T. The magnetic force on the proton.
A \( \cdot 8 \times 10^{-12} \mathrm{N} \)
B . \( 4 \times 10^{-12} \mathrm{N} \)
c. \( 16 \times 10^{-12} \mathrm{N} \)
D. \( 2 \times 10^{-12} \mathrm{N} \)
Subject: Physics
In figure a wire perpendicular to a long straight wire is moving parallel to the later with speed \( \boldsymbol{v}=\mathbf{1 0 m} / \boldsymbol{s} \) in the
direction of the current flowing in the
later. The current is \( 10 A \). What is the
magnitude of the potential difference between the ends of the moving wire?
A \( \cdot\left(5 \times 10^{-4}\right) \ln (10) V \)
B \( \cdot\left(7 \times 10^{-4}\right) \ln (10) V \)
\( \mathbf{c} \cdot\left(2 \times 10^{-4}\right) \ln (2) V \)
D. \( \left(2 \times 10^{-5}\right) \ln (10) V \)
Subject: Chemistry
Assertion
n electrolysis, the quantity of electricity needed for depositing 1 mole of silver is different from that required for 1 mole
of copper.
Reason
The molecular weights of silver and
copper are different.
A. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
B. Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion
c. Assertion is correct but Reason is incorrect
D. Both Assertion and Reason are incorrect
Subject: Maths
\( \mathbf{f} A=\left[\begin{array}{cc}\frac{-\mathbf{1}+i \sqrt{\mathbf{3}}}{\mathbf{2} i} & \frac{-\mathbf{1}-i \sqrt{\mathbf{3}}}{\mathbf{2} i} \\ \frac{\mathbf{1}+i \sqrt{\mathbf{3}}}{\mathbf{2} i} & \frac{\mathbf{1}-i \sqrt{\mathbf{3}}}{\mathbf{2} i}\end{array}\right], i= \)
\( \sqrt{-i} \) and \( f(x)=x^{2}+2, \) then \( f(A) \) is
equal to
\( ^{A} \cdot\left(\frac{5-i \sqrt{3}}{2}\right)\left[\begin{array}{ll}1 & 0 \\ 0 & 1\end{array}\right] \)
\( ^{\text {В }} \cdot\left(\frac{3-i \sqrt{3}}{2}\right)\left[\begin{array}{ll}1 & 0 \\ 0 & 1\end{array}\right] \)
c. \( \left[\begin{array}{ll}1 & 0 \\ 0 & 1\end{array}\right] \)
D. \( (2+i \sqrt{3})\left[\begin{array}{ll}1 & 0 \\ 0 & 1\end{array}\right] \)
Subject: Chemistry
(A) The kinetic energy of the photoelectron ejected increases with increase in the intensity of incident radiation.
(R) Increase in intensity of incident light increases the rate of emission.
A. Both (R) and (A) are true and reason is the. correct explanation of assertion
B. Both (R) and (A) are true but reason is not correct explanation of assertion
c. Assertion (A) is true but reason
(R) is false
D. Assertion
(A) and reason
(R) both are false
E. Assertion (A) is false but reason (R) is true
Subject: Physics
A given ray of light suffers minimum
deviation in an equilateral prism \( P \)
Additional prism \( Q \) and \( R \) of identical
shape and of the same material as \( \boldsymbol{P} \)
are now added as shown in the figure. The ray will now suffer.
A. Greater deviation
B. No deviation
c. Same deviation as before
D. Total internal reflection
Subject: Physics
The magnetic moment vectors \( \mu_{s} \) and
\( \mu_{l} \) associated with the intrinsic spin angular momentum \( S \) and orbital angular momentum \( l, \) respectively, of an electron are predicted by quantum theory (and verified experimentally to a high accuracy) to be given by:
\( \boldsymbol{\mu}_{s}=-(e / \boldsymbol{m}) \boldsymbol{S} \)
\( \boldsymbol{\mu}_{l}=-(e / 2 m) l \)
Which of these relations is in
accordance with the result
expected classically? Outline the derivation of the classical result.
Subject: Physics
If the length of the second's hand in a stop-clock is \( 3 \mathrm{cm} \) angular velocity linear velocity of the tip is:
A \( \cdot 0.2047 r a d s^{-1}, 0.0314 m s^{-1} \)
B. 0.2547 rads \( ^{-1}, 0.0314 \mathrm{ms}^{-1} \)
c. \( 0.10472 r a d s^{-1}, 0.06314 m s^{-1} \)
D. 0.1047 rads \( ^{-1}, 0.00314 \mathrm{ms}^{-1} \)
Subject: Physics
A parallel beam of monochromatic light
of wavelength \( 663 \mathrm{nm} \) is incident on a
totally reflecting plane mirror. The angle
of incident is \( 60^{\circ} \) and the number of
photons striking the mirror per second
is \( 1.0 \times 10^{19} . \) If the force exerted by light
beam on the mirror is \( Y \times 10^{-8} N . \) Find
\( Y \)
Subject: Maths
A farmer wishes to start a 100 square
metres rectangular vegetable garden. since he has only 30 metres barbed wire, he fences three sides of the
rectangular garden. The \( 4^{t h} \) side of the garden is surrounded by the compound wall of his house. The dimensions of the
garden is
\( \mathbf{A} \cdot 25 \mathrm{m} \times 4 \mathrm{m} \)
B . \( 25 \mathrm{m} \times 5 \mathrm{m} \)
c. \( 20 \mathrm{m} \times 5 \mathrm{m} \)
D. \( 20 \mathrm{m} \times 4 \mathrm{m} \)
Subject: Chemistry
\( \boldsymbol{B} \boldsymbol{a} \boldsymbol{S} \boldsymbol{O}_{4}+\boldsymbol{4} \boldsymbol{C} \rightarrow \boldsymbol{B} \boldsymbol{a} \boldsymbol{S}+\boldsymbol{4} \boldsymbol{C} \boldsymbol{O} \)
In above reaction, write for each
reactant that undergoes oxidation or reduction and identify the type of
reaction.
Subject: Physics
Q Type your question
on point \( P \) as shown in the diagram
below. All point charges are of the same
magnitude.

Which table gives the best description
of the electric field at point \( P \) and the
electric potential at point P?
A . Electric Field at \( \mathrm{P} \) - Electric Potential at \( \mathrm{P} \), Zero - Zero
B. Electric Field at \( P \) - Electric Potential at \( P \), downward -
downward
C. Electric Field at \( P \) - Electric Potential at P, upward positive
D. Electric Field at \( P \) - Electric Potential at \( P \), downward
Zero
\( \mathrm{E} \), ic Field at \( \mathrm{P} \) - Electric Potential at \( \mathrm{P} \), upward -
Subject: Maths
If \( \vec{a}=\hat{i}+\hat{j}+\hat{k}, \vec{b}=4 \hat{i}+3 \hat{j}+4 \hat{k} \) and
\( \vec{c}=\hat{i}+\alpha \hat{j}+\beta \hat{k} \) are linearly dependent
vectors and \( |\vec{c}|=\sqrt{3} \) then the value of \( \alpha \)
may be.
\( \mathbf{A} \cdot \mathbf{1} \)
B . 2
c. -3
D. 4
Subject: Chemistry
The rate constant of the reaction \( \boldsymbol{A} \rightarrow \)
\( 2 B \) is \( 1.0 \times ! 0^{-3} \) mol \( l i t^{-1} \) min \( ^{-1}, \) if the
initial concentration of \( \boldsymbol{A} \) is 1.0 mole
\( l i t^{-1}, \) what would be the concentration
of \( B \) after 100 minutes?
A. \( 0.1 \mathrm{mol} \) lit\( ^{-1} \)
B. 0.2 mol lit \( ^{-1} \)
c. 0.9 mol lit \( ^{-1} \)
D. 1.8 mollit\( ^{-1} \)
Subject: Maths
Two adjacent sides of a parallelogram
are \( 10 \mathrm{cm} \) and \( 12 \mathrm{cm} . \) If one diagonal of
it is \( 16 \mathrm{cm} \) long; find area of the parallelogram. Also, find distance between its shorter sides.
A \( \cdot 119.8 \mathrm{cm}^{2} ; 11.42 \mathrm{cm} \)
В. \( 136.74 \mathrm{cm}^{2} ; 19.58 \mathrm{cm} \)
c. \( 127 \mathrm{cm} ; 5.85 \mathrm{cm} \)
D. None of these
Subject: Chemistry
Among \( K O_{2}, A l O_{2}^{-}, B a O_{2} \) and \( N O_{2}^{+} \)
unpaired electron is present in :
A. \( N O_{2}^{+} \) and \( B a O_{2} \)
B. \( K O_{2} \) and \( A l O_{2}^{-} \)
c. \( K O_{2} \) only
D. \( B a O_{2} \) only
Subject: Physics
A charge \( Q \) is placed at the centre of the open end of a cylindrical vessel of radius \( R \) and height \( 2 R \) as shown in
figure. The flux of the electric field through the surface (curved surface \( + \) base) of the vessel is
A \( \cdot \frac{Q}{\epsilon_{0}} \)
в. \( \frac{Q}{2 E_{0}}\left(1+\frac{1}{\sqrt{2}}\right) \)
c. \( \frac{Q}{4 \epsilon_{0}} \)
D. \( \frac{Q}{\sqrt{5} \epsilon_{0}} \)
Subject: Chemistry
\( K_{c} \) for the synthesis of \( \mathrm{Hl}(\mathrm{g}) \) from \( \boldsymbol{H}_{2}(\boldsymbol{g}) \)
and \( I_{2}(g) \) is \( 50 . \) The degree of dissociation of HI is:
A . 0.10
B. 0.14
c. 0.22
D. 0.93
Subject: Physics
Which of the following statements is
NOT true?
A. When the mass of a body is doubled, the momentum of a body is halved, provided the velocity remains the same.
B. The pain we feel in the hand on hitting the wall is a consequence of Newton's third law of motion.
C. A table-cloth which is pulled from a table without dislodging the dishes is due to inertia of rest.
D. Momentum is a vector quantity
Subject: Chemistry
Molarity and molality of a solution of a liquid (mol wt=50) in aqueous solution
is 9 and 10 respectively. What is the density of solution?
\( \mathbf{A} \cdot 1 g / c c \)
в. \( 0.95 g / c c \)
c. \( 1.05 g / c c \)
D. \( 1.35 g / c c \)
Subject: Maths
If \( z_{1}=2 \sqrt{2}(1+i) \) and \( z=1+i \sqrt{3} \)
then \( z_{1}^{2} z_{2}^{3} \) is equal to
\( \mathbf{A} \cdot 128 \)
в. \( 64 i \)
\( c .-64 \)
D. \( -128 i \)
E . 256
Subject: Maths
If \( \sqrt{\boldsymbol{x}}+\sqrt{\boldsymbol{y}}=10, \) find \( \frac{\boldsymbol{d} \boldsymbol{y}}{\boldsymbol{d} \boldsymbol{x}} \) at \( \boldsymbol{y}=\boldsymbol{4} \)
\( A \cdot 4 \)
в. -3
c. -4
D. 3
Subject: Maths
A cube of \( 4 \mathrm{cm} \) has been painted on its surface in such a way that two opposite surfaces have been painted blue and
two adjacent surfaces have been painted red Two remaining surfaces have been left unpainted Now the cube is cut into smaller cubes of sides \( 1 \mathrm{cm} \)
each

How many cubes will have at least blue
colour on its surface?
A. 20
B. 8
\( c \cdot 24 \)
D. 32
Subject: Maths
The diagram shows the cross section of six identical marbles touching each other on a horizontal surface. f the volume of a mabrle is \( \frac{9 \pi}{2} c m^{3} \) calculate the length of \( \mathrm{PQ} \), in \( \mathrm{cm} \).
\( A \)
в. 2
\( c \cdot 18 \)
0.22
Subject: Maths
If \( \vec{a}, \vec{b}, \vec{c}, \vec{d}, \vec{e}, \vec{f} \) are position vectors of 6 points \( A, B, C, D, E \& F \) respectively such that \( \mathbf{3} \overrightarrow{\boldsymbol{a}}+\mathbf{4} \overrightarrow{\boldsymbol{b}}=\mathbf{6} \overrightarrow{\boldsymbol{c}}+\overrightarrow{\boldsymbol{d}}=\mathbf{4} \overrightarrow{\boldsymbol{e}}+\mathbf{3} \overrightarrow{\boldsymbol{f}}=\overrightarrow{\boldsymbol{x}} \)
then
This question has multiple correct options
\( \mathbf{A} \cdot \overline{A B} \) is parallel to \( \overline{C D} \)
B. line AB, CD and EF are concurrent
c. \( \vec{x} \) \( \overline{7}^{\text {is position vector of the point dividing CD in ratio } 1} \)
6
D. A, B, C, D, E \& F are coplanar
Subject: Maths
The probability that \( \boldsymbol{P} \cap \boldsymbol{Q}=\boldsymbol{A} \)
contains just one element, is
\( ^{\mathrm{A}} \cdot_{n}\left(\frac{3}{4}\right)^{n} \)
B. \( \left(\frac{1}{4}\right)^{n} \)
c. \( \frac{n}{3}\left(\frac{1}{2}\right)^{n} \)
D. \( \left(\frac{3}{4}\right)^{n} \)
Subject: Physics
A plane flying horizontally at a height of
\( 1500 \mathrm{m} \) with a velocity of \( 200 \mathrm{m} s^{-1} \)
passes directly overhead an antiaircraft gun. Then the angle with the horizontal at which the gun should be fired for the shell with a
muzzle velocity of \( 400 \mathrm{ms}^{-1} \) to hit the
plane is:
A \( .90^{\circ} \)
B. \( 60^{\circ} \)
\( c \cdot 30 \)
D. \( 45^{\circ} \)
Subject: Physics
If the refractive index of water and glass with respect to air are, respectively, \( \frac{4}{3} \) and \( \frac{3}{2} \) then what will be the refractive index of glass with respect to water?
A \( \cdot \frac{9}{8} \)
в. \( \frac{8}{9} \)
\( c \cdot \frac{4}{3} \)
D. \( \frac{3}{2} \)
Subject: Chemistry
Consider the following reaction:
The compound \( D \) is an ortho-isomer
and E is a \( p- \) isomer. The compounds
\( D \) and \( E, \) respectively are :
A. Phthalic acid and isophthalic acids
B. Isophthalic and phthalic acids
c. Terephthalic and phthalic acids
D. Phthalic and terephthalic acids
Subject: Chemistry
On commercial scale, phenol is
obtained from chlorobenzene. The
chlorobenzene needed for the purpose is prepared by:
\( A \)
\( \bigcirc]+\mathrm{cl}_{2} \frac{\mathrm{Anhy} \cdot \mathrm{AlCl}_{3}}{310-320 \mathrm{K}} \)
B.
\( c \)
\( \bigcirc]+\mathrm{H} \mathrm{c} \mathrm{t}+\mathrm{o}_{2(\mathrm{air})} \frac{\mathrm{cuc}_{2}}{500 \mathrm{K}}>\widehat{\bigcirc} \)
Subject: Chemistry
The chemical reaction given below:
\( \boldsymbol{C l}_{2}(\boldsymbol{g})+\boldsymbol{S} \boldsymbol{O}_{2}(\boldsymbol{g})+\boldsymbol{2} \boldsymbol{H}_{2} \boldsymbol{O}(l) \rightarrow \)
\( 2 C l^{-}(a q .)+3 H^{+}(a q .)+H S O_{4}^{-}(a q .) \)
proceeds readily in aqueous acid solution.
(i) Give the half-cell reactions.
(ii) If a fully charged cell initially held 1
mole of \( C l_{2} \), for how many days could it
sustain a current of 0.05 ampere,
assuming the cell becomes non-
operative when \( 90 \% \) of initial \( C l_{2} \) has
been used up?
Subject: Chemistry
In the following equilibrium reaction \( \mathbf{2} \boldsymbol{A} \rightleftharpoons \boldsymbol{B}+\boldsymbol{C}, \) the equilibrium
concentration of \( A, B \) and \( C \) are \( 1 \times \)
\( \mathbf{1 0}^{-\mathbf{3}} \boldsymbol{M}, \mathbf{2} \times \mathbf{1 0}^{-\mathbf{3}} \boldsymbol{M} \) and \( \mathbf{3} \times \mathbf{1 0}^{-\mathbf{3}} \boldsymbol{M} \)
respectively at \( 300 K \)
Then what is the value of \( K_{c} \) for this
equilibrium reaction at the same temperature?
A \( \cdot \frac{1}{6} \)
B. 6
c. \( \frac{1}{36} \)
D. 36
E \( \cdot \frac{1}{24} \)
Subject: Chemistry
\( 20 \mathrm{ml} \) of \( H_{2} O_{2} \) after acidification with
\( \operatorname{dil} H_{2} S O_{4} . \) required \( 30 \mathrm{ml} \) of \( \mathrm{N} / 2 \)
\( K M n O_{4} \) for complete oxidation
Calculate the \( \% \) of \( H_{2} O_{2} \) in g/lit.
A . 10.75 g/lit
B. 11.75 g/lit
c. \( 12.75 \mathrm{g} / \) lit
D. 13.75 g/lit
Subject: Maths
Prove the \( \boldsymbol{A}(-\mathbf{5}, \mathbf{4}), \boldsymbol{B}(-\mathbf{1},-\mathbf{2}), \boldsymbol{C}(\mathbf{5}, \mathbf{2}) \)
are the vertices of \( n \) isosceles right
angled triangle?
Subject: Chemistry
The positive charge on sol particles of
\( A g I \) sol is due to preferential
adsorption of ions.
\( \mathbf{1} . \boldsymbol{I}^{-} \)
2. \( \boldsymbol{A} \boldsymbol{g}^{+} \)
3. both 1 and 2
4. none of the above
Subject: Physics
An electron is projected at an angle \( \theta \) with a uniform magnetic field. If the pitch of the helical path is equal to its radius, then the angle of projection is
\( \mathbf{A} \cdot \tan ^{-1} \pi \)
В \( \cdot \tan ^{-1} 2 \pi \)
\( \mathbf{c} \cdot \cot ^{-1} \pi \)
D. \( \cot ^{-1} 2 \pi \)
Subject: Physics
Identify the correct order of \( \alpha, \beta \) and \( \gamma \) with reference to their penetrating power in decreasing order. I) \( \boldsymbol{\alpha} \) -ray II) \( \boldsymbol{\gamma} \)
-ray III) \( \beta \) -ray
\( \mathbf{A} \cdot \) ॥,॥।,
B. ॥,|,|||
c. ।,॥,॥
D. III,,,III
Subject: Biology
The food we take in our body travels through a long and complex path. Which starts from mouth to anus. Which is the
correct sequence of process on food in the digestive system?
A. Digestion \( \rightarrow \) Absorption \( \rightarrow \) Egestion \( \rightarrow \) Ingestion
B. Ingestion \( \rightarrow \) Egestion \( \rightarrow \) Digestion \( \rightarrow \) Absorption
c. Digestion \( \rightarrow \) Ingestion \( \rightarrow \) Absorption \( \rightarrow \) Egestion
D. Ingestion \( \rightarrow \) Digestion \( \rightarrow \) Absorption \( \rightarrow \) Egestion
Subject: Chemistry
\( L i A l H_{4} \) is obtained by reacting an
excess of \( \quad \) with an ethereal
solution of \( \boldsymbol{A} \boldsymbol{l} \boldsymbol{C l}_{3} \)
A. Licl
в. LiН
c. \( L i \)
D. \( L i O H \)
Subject: Physics
Two point objects of masses 1.5 g and 2.5 g respectively are at a distance of 16 \( \mathrm{cm} \) apart, the centre of gravity is at a distance \( x \) from the object of mass 1.5 g where \( x \) is:
\( A \cdot 10 \mathrm{cm} \)
B. \( 6 \mathrm{cm} \)
\( c \cdot 13 \mathrm{cm} \)
D. 3 cm
Subject: Chemistry
To a \( 10 \mathrm{mL}, 1 M \) aqueous solution of
\( B r_{2} \) and excess of \( N a O H \) is added so
that all \( B r_{2} \) is disproportional to \( B r^{-} \)
and \( B r O_{3}^{-} . \) The resulting solution is
free from \( B r^{-} \) by extraction and excess
of \( \boldsymbol{O H}^{-} \) is neutralised by acidifying the solution. The resulting solution is sufficient to react with \( 2 g \) of impure \( \boldsymbol{C a} \boldsymbol{C}_{2} \boldsymbol{O}_{4}(\boldsymbol{M}=\mathbf{1 2 8} \boldsymbol{g} / \boldsymbol{m o l}) \) sample
The \% purity of oxalate sample is
A. \( 85.3 \% \)
в. \( 12.5 \% \)
\( \mathbf{c} .90 \% \)
D. \( 64 \% \)
Subject: Physics
In two separate collisions, the
coefficients of restitution are \( e_{1} \) and \( e_{2} \)
are in the ratio \( 3: 1 . \) In the first collision
the relative velocity of approach is twice the relative velocity of separation, then
the ratio between relative velocity of approach and the relative velocity of separation in the second collision is :
A .1: 6
B . 2: 3
c. 3: 2
D. 6: 1
Subject: Physics
A wheel is made to roll without slipping,
towards right, by pulling a string
wrapped around a coaxial spool as
shown in figure. With what velocity(in
\( \mathrm{m} / \mathrm{s}) \) the string should be pulled so that
the centre of the wheeel moves with a
velocity of \( 3 \mathrm{m} / \mathrm{s} ? \)
Subject: Chemistry
As pressure is increased, what will happen to the following reactions? Match the colum:
Column - Column - II
(P) \( P C l_{5}(g) \rightleftharpoons P C l_{3}(g)+ \)
(1) Shift to forward
\[
C l_{2}(g)
\]
(2) Shift to
(Q) \( 2 N O_{2}(g) \rightleftharpoons N_{2} O_{4}(g) \quad \) backward
(R) \( H_{2}(g)+I_{2}(g) \rightleftharpoons 2 H I(g) \)
(3) No effect
(S) \( a A(g)+b B(g) \rightleftharpoons c C(g) \)
(4) Cannot predict
\( A \cdot 1234 \)
B. 213 4
\( c \cdot 2143 \)
D. 4312