AkshitPareek2004/jee-question-analyzer-data huggingface dataset:
Subject: Physics
toppr
Q Type your question_
frictionless surface. The block is
stretched by \( 0.2 m \) and released from
rest at \( t=0 . \) It then executes simple
harmonic motion with angular frequency \( \omega=\frac{\pi}{3} r a d / s \)
Simultaneously at \( t=0, \) a small
pebble is projected with speed \( \boldsymbol{v} \) from
point \( P \) at an angle of \( 45^{\circ} \) as shown in
the figure. Point \( P \) is a a horizontal
distance of \( 10 \mathrm{m} \) from \( \mathrm{O} \). If the pebble
hits the block at \( t=1 \) sec, the value of \( v \)
is \( \left(\operatorname{take} g=10 m / s^{2}\right): \)
\( \mathbf{A} \cdot \sqrt{50} m / s \)
B. \( \sqrt{51} \mathrm{m} / \mathrm{s} \)
\( \mathbf{c} \cdot \sqrt{52} m / s \)
D. \( \sqrt{53} \mathrm{m} / \mathrm{s} \)
Subject: Physics
An astronaut on the surface of an
unexplored planet gently throws a rock
upwards. It takes 4.00 sec for the rock
to reach a maximum height of \( 24.00 m \)
relative to where it was released before
coming back down.

If we take gravitational acceleration to
be constant, what is the planet's
gravity?
A \( .-3.00 m / s^{2} \)
B . \( -2.00 \mathrm{m} / \mathrm{s}^{2} \)
c. \( -1.00 m / s^{2} \)
D. \( -0.50 m / s^{2} \)
E. Cannot be determined
Subject: Physics
Four thin metal rods, each of mass \( M \)
and length \( L, \) are welded to form a
square. The moment of inertia of the
composite structure about a line which bisects any two opposite rods is:
\( ^{\mathrm{A}} \cdot \frac{M L^{2}}{6} \)
B. \( \frac{M L^{2}}{3} \)
c. \( \frac{M L^{2}}{2} \)
D. \( \frac{2 M L^{2}}{3} \)
Subject: Chemistry
Assertion
Heavy water is used as a moderator in
nuclear reactors.
Reason
Heavy water is made of an isotope of helium.
A. Both Assertion and Reason are correct and Reason is
the correct explanation for Assertion
B. Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion
C. Assertion is correct but Reason is incorrect
D. Both Assertion and Reason are incorrect
Subject: Physics
An astronaut in a space station orbits
above the Earth.

In the space station, the acceleration
due to gravity is \( 7.5 m / s^{2} \) On Earth, the acceleration due to gravity
is \( 10 m / s^{2} \)
Which statement about the astronauts
mass and weight in the space station is
correct?
A. Mass of astronaut - Same as on the Earth, weight of astronaut - less than on the Earth
B. Mass of astronaut - Same as on the Earth, weight of astronaut - greater than on the Earth
c. Mass of astronaut - lower than as on the Earth, weight of astronaut - less than on the Earth
D. Mass of astronaut - lower than as on the Earth, weight of astronaut - greater than on the Earth
Subject: Physics
Figure shows a disc of mass \( \mathrm{M} \) and radius R hinged at the centre. A small ball of mass \( \frac{M}{2} \) is attached to point \( P \)
with a thread of length \( 2 R \) and held at
rest at position shown. Now, the ball is released to fall under gravity. With what
angular speed does the disc start
turning when the string becomes taut?
A \( \cdot \sqrt{\frac{g}{R}} \)
в. \( \sqrt{\frac{g}{2 R}} \)
\( c \cdot \sqrt{\frac{R}{q}} \)
D. \( \sqrt{\frac{2 g}{R}} \)
Subject: Chemistry
Total number of isomers for \( \boldsymbol{C}_{\mathbf{4}} \boldsymbol{H}_{\mathbf{6}} \boldsymbol{B} \boldsymbol{r}_{2} \)
containing cyclobutane ring are (including stereoisomers) are:
\( A \cdot 6 \)
B. 7
\( c \cdot 4 \)
D. 5
Subject: Physics
A boy playing on the roof of a \( 10 \mathrm{m} \) high building throws a ball with a speed of
\( 10 \mathrm{m} \mathrm{s}^{-1} \) at an angle of \( 30^{\circ} \) with the horizontal. How far from the throwing point will the ball he at the height of 10 \( \mathrm{m} \) from the ground \( (\boldsymbol{g}= \) \( \left.10 m s^{-2}, s i n 30^{\circ}=\frac{1}{2}, \cos 30^{\circ}=\frac{\sqrt{3}}{2}\right) \)
\( A \cdot 8.6 m \)
B. \( 9.6 \mathrm{m} \)
c. \( 10.6 \mathrm{m} \)
D. \( 11.6 \mathrm{m} \)
Subject: Physics
The radius of curvature of a plano-
convex lens is \( 20 \mathrm{cm} \) If the refractive
index of the material of the lens be 1.5 it
will
A. Act as a convex lens only for the objects that lie on its curved side
B. Act as a concave lens for the objects that lie on its curved side
C. Act as a convex lens irrespective of the side on which the object lies
D. Act as a convex lens irrespective of side on which the object lies
Subject: Chemistry
Name the functional groups present in the following compounds.
(i) \( \boldsymbol{C H}_{2}-\boldsymbol{C O}-\boldsymbol{C H}_{2}-\boldsymbol{C H}_{2}- \)
\( \boldsymbol{C H}_{2}-\boldsymbol{C H}_{3} \)
(ii) \( \boldsymbol{C H}_{3}-\boldsymbol{C H}_{2}-\boldsymbol{C H}_{2}-\boldsymbol{C O O H} \)
(iii) \( \boldsymbol{C H}_{3}-\boldsymbol{C H}_{2}-\boldsymbol{C H}_{2}-\boldsymbol{C H}_{2}- \)
\( C H O \)
(iv) \( \boldsymbol{C H}_{3}-\boldsymbol{C H}_{2}-\boldsymbol{O H} \)
Subject: Chemistry
The IUPAC name of the given structure
is :
A. 5-bromo-6-chloro-1-cyclohexen-3-yne
B. 6-bromo-5-chlorocyclohexen-3-yne
c. 6 -bromo-5-chloro-3-cyclohexen-1-yne
D. 4-bromo-3-chloro-1-cyclohexen-5-yne
Subject: Chemistry
\( 0.01 \mathrm{M} \) solution of \( \mathrm{KCl} \) and \( \mathrm{CaCl}_{2} \) are
prepared in water. The freezing point of \( K C l \) is found to be \( -2^{o} C . \) What is the
freezing point of \( C a C l_{2} \) to be
completely ionised?
\( \mathbf{A} \cdot-3^{\circ} C \)
B \( \cdot+3^{\circ} C \)
\( \mathbf{c} \cdot-2^{o} C \)
D. \( -4^{\circ} C \)
Subject: Maths
Find the upper limit of the median class
from the given frequency distribution
table
\( \begin{array}{cccc}\mathbf{0}- & \mathbf{6}- & \mathbf{1 2}- & \mathbf{1 8}- \\ \mathbf{5} & \mathbf{1 1} & \mathbf{1 7} & \mathbf{2 3}\end{array} \) Class
Frequency 8 \( 03 \quad 10 \quad 15 \)
\( \mathbf{A} \cdot 17 \)
B . 17.5
\( \mathbf{c} \cdot 18 \)
D. 18.5
Subject: Chemistry
The \( A s-C l \) bond distance in \( A s C l_{3} \) is
\( 2.20 A \). If radius of chlorine atom is \( C \)
then radius of \( A s \) atom is:
A \( .2 .24 \AA \)
В. \( 3.19 \dot{A} \)
c. \( 1.21 \dot{h} \)
D. \( 2.09 \dot{A} \)
Subject: Chemistry
The electronic configuration of an
element x is :
\( k \)
\( \mathbf{L} \)
2
8
6
a) What is the group no. element x in the periodic table?
b) What is the period no. of element x is the period table ?
c) What is the number of valence
electrons in an atom of \( \times ? \)
d) What is the valency of \( x ? \)
e) Is the element \( x, \) a metal or a non-
metal?
Subject: Physics
The potential differnce \( \left(\boldsymbol{V}_{\boldsymbol{A}}-\boldsymbol{V}_{\boldsymbol{B}}\right) \)
between the points \( A \) and \( B \) in the given
figure is
A \( .9 V \)
B. \( 6 V \)
\( c .3 V \)
D. \( 4 V \)
Subject: Chemistry
Complete the given balanced equation and find out the missing term.
\( _{6}^{14} C \rightarrow_{4}^{10} B e+? \)
B . \( _{1}^{0} \)
\( \mathrm{c} \cdot_{2}^{4} \mathrm{He} \)
\( D \cdot_{0}^{0} \)
E \( . \quad \begin{array}{l}n \\ n\end{array} \)
Subject: Physics
A ballet dancer, dancing on a smooth floor is spinning about a vertical axis with her arms folded with angular
velocity of 20 rad/s. When the stretches
her arms fully, the spinning speed decreases in 10 rad/s/. If \( I \) is the
initial moment of inertia of the dancer
the new moment of inertia is
\( \mathbf{A} \cdot 21 \)
B. 31
c. \( I / 2 \)
D. \( I / 3 \)
Subject: Maths
The volume of the greatest sphere that can be cut off from a cylindrical log of wood of base radius \( 3 \mathrm{cm} \) and height 7 \( \mathrm{cm} \) is
\( \mathbf{A} \cdot 108 \pi c m^{3} \)
в. \( 36 \pi c m^{3} \)
c. \( 12 \pi c m^{3} \)
D. \( \frac{4}{3} \pi c m^{3} \)
Subject: Physics
A point mass oscillates along the \( x \) axis according to the law \( \boldsymbol{x}= \)
\( x_{0} \cos (\omega t-\pi / 4) . \) If the acceleration of
the particle is written as \( a= \)
\( A \cos (\omega t+\delta) \) then:
A \( . A=x_{0}, \delta=-\pi / 4 \)
B . \( A=x_{0} \omega^{2}, \delta=-\pi / 4 \)
C \( . A=x_{0} \omega^{2}, \delta=-\pi / 8 \)
D. \( A=x_{0} \omega^{2}, \delta=3 \pi / 4 \)
Subject: Chemistry
Among the following, the most stable complex is:
\( \mathbf{A} \cdot\left[F e\left(H_{2} O\right)_{6}\right]^{3} \)
B . \( \left[F e\left(N H_{3}\right)_{6}\right]^{3+} \)
c. \( \left[F e\left(C_{2} O_{4}\right)_{3}\right]^{3} \)
D. \( \left[F e C I_{6}\right]^{3-} \)
Subject: Chemistry
The difference in height of the mercury column in two arms of U tube
manometer in the arrangement - lis \( \boldsymbol{h}_{1}=\mathbf{6 6 0} \mathrm{mm} . \) In another arrangement -
Il at same temperature, 222 gm of
\( \mathrm{CaCl}_{2} \) is dissolved in \( 324 \mathrm{gm} \) of water and difference in height of mercury
column in two arms is found to be \( h_{2}= \)
\( 680 \mathrm{mm} . \) If the value of degree of
dissociation for \( C a C l_{2} \) in arrangement
-11 is \( \alpha, \) then the value of \( 64 \alpha \) is:
[Atmospheric pressure \( =1 \) atm]
A . 40
B. 38
c. 45
D. 50
Subject: Chemistry
When excess of ammonia is used:
\( \mathbf{3} C l_{2}+\mathbf{8} N H_{3} \longrightarrow A+B \)
When excess of chlorine is used:
\( \mathbf{3} C l_{2}+\mathbf{4} N H_{3} \longrightarrow C+D \)
The oxidation state of nitrogen in
compound \( \boldsymbol{A} \) is:
A. -3
B. +3
\( c .+5 \)
D.
Subject: Maths
Let \( \boldsymbol{f}(\boldsymbol{x})=\boldsymbol{x}^{2}+\boldsymbol{x} \boldsymbol{g}^{\prime}(1)+\boldsymbol{g}^{\prime \prime}(2) \) and
\( \boldsymbol{g}(\boldsymbol{x})=\boldsymbol{x}^{2}+\boldsymbol{x} \boldsymbol{f}^{\prime}(\boldsymbol{2})+\boldsymbol{f}^{\prime \prime}(\boldsymbol{3}) . \) Then
A \( \cdot f^{\prime}(1)=4+f^{\prime}(2) \)
B \( \cdot g^{\prime}(2)=8+g^{\prime}(1) \)
C \( \cdot g^{\prime \prime}(2)+f^{\prime \prime}(3)=4 \)
D. all of these
Subject: Chemistry
In Acheson's process 'A' is heated with silica in an electrical furnace at \( 3700 \mathrm{K} \)
to obtain an intermediate 'B' and finally
to give 'C' and 'D'.'D' goes out as vapour. Then:
A \( \cdot \) 'A' is an element and 'B's its oxide
B. 'B'is an oxide and 'C' is an element
c. 'A' and 'C' are allotropes
D. 'B' and 'C' are allotropes
Subject: Physics
The length of hour hand of a wrist watch
is \( 1.5 \mathrm{cm} . \) Find magnitude of radial acceleration?
A \( .3 .175 \times 10^{-4} \mathrm{m} / \mathrm{s}^{2} \)
B . \( 4.175 \times 10^{-4} \mathrm{m} / \mathrm{s}^{2} \)
c. \( 6.754 \times 10^{-4} \mathrm{m} / \mathrm{s}^{2} \)
D. \( 4.754 \times 10^{-4} \mathrm{m} / \mathrm{s}^{2} \)
Subject: Chemistry
\( 4 g H_{2} \) and \( 127 g I_{2} \) are mixed and heated lit closed vessels until
equilibrium is reached. If the equilibrium concentration of \( \boldsymbol{H} \boldsymbol{I} \) is \( 0.05 M \) total number of moles present
at equilibrium is:
A . 3.25
в. 1.75
c. 2.25
D. 2.5
Subject: Chemistry
Total no. of compound which are not
possible? \( \boldsymbol{P} \boldsymbol{C} \boldsymbol{I}_{5}, \boldsymbol{N} \boldsymbol{C} \boldsymbol{I}_{5}, \boldsymbol{O} \boldsymbol{F}_{4}, \boldsymbol{O} \boldsymbol{F}_{2}, \boldsymbol{S} \boldsymbol{F}_{4} \)
\( \boldsymbol{S} \boldsymbol{F}_{6}, \boldsymbol{P H}_{5}, \boldsymbol{X} \boldsymbol{e} \boldsymbol{H}_{4}, \boldsymbol{X} \boldsymbol{e} \boldsymbol{F}_{4}, \boldsymbol{I} \boldsymbol{F}_{7}, \boldsymbol{I} \boldsymbol{H}_{5} \)
\( \boldsymbol{P B r}_{6}^{-}, \boldsymbol{C l F}_{3} \)
Subject: Chemistry
The correct order of increasing acidic strength of the following compounds is:
\( \boldsymbol{a}) \boldsymbol{C H}_{3} \boldsymbol{C O O H} \)
\( \boldsymbol{b}) \boldsymbol{C H}_{3} \boldsymbol{O C H}_{2} \boldsymbol{C O O H} \)
\( \boldsymbol{c}) \boldsymbol{C F}_{3} \boldsymbol{C O O H} \)
\( \mathbf{A} \cdot a<b<c \)
В. \( b<c<a \)
c. \( b<a<c \)
D . \( a<c<b \)
Subject: Chemistry
One gas bleaches the colour of the
flowers by reduction, while the other by oxidation
A. \( N H_{3} \) and \( S O_{3} \)
B. CO and Cu
\( \mathrm{c} \cdot \mathrm{SO}_{2} \) and \( \mathrm{Cl}_{2} \)
D. \( H_{2} S \) and \( M n C l_{2} \)
Subject: Chemistry
Assertion(A): Purine bases present in DNA are adenine and guanine. Reason(R): The base uracil is present in
DNA whereas the base thymine is
present in RNA.
A. Both A and R are true and R is the correct explanation of A
B. Both A and R are true but R is not a correct explanation of A
c. A is true but R is false
D. .A is false but R is true
Subject: Physics
A particle is projected horizontally with a speed u from the top of a plane inclined at an angle \( \theta \) with the horizontal. How far from the point of projection will the particle strike the
plane?
\( ^{\mathrm{A}} \cdot \frac{2 u^{2}}{g} \tan \theta \sec \theta \)
B. \( \frac{2 u}{8} \tan ^{2} \theta \sec \theta \)
c. \( \frac{2 u^{2}}{g} \tan \theta \cos \theta \)
D. \( \frac{2 u}{g} \tan \theta \cos ^{2} \theta \)
Subject: Physics
On a recent trip, Cindy drove her car 290 miles, rounded to the nearest 10 miles,
and used 12 gallons of gasoline, rounded to the nearest gallon. The actual number of miles per gallon that Cindy's car got on this trip must have been
between
A \( \cdot \frac{290}{12.5} \) and \( \frac{290}{11.5} \)
В \( \cdot \frac{295}{12} \) and \( \frac{285}{11.5} \)
c. \( \frac{285}{12} \) and \( \frac{295}{12} \)
D. \( \frac{285}{12.5} \) and \( \frac{295}{11.5} \)
E \( \cdot \frac{295}{12.5} \) and \( \frac{285}{11.5} \)
Subject: Chemistry
Assertion
Electron affinity of \( \boldsymbol{F} \) is less than \( \boldsymbol{C l} \)
Reason

Additional electrons are repelled more
effectively by \( 3 p \) -electrons in \( C l \) -atom
than by \( 2 p \) -electrons in \( F \) -atom.

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: Chemistry
Assertion
In the metallurgy of iron, limestone is
added to the ore
Reason
In the metallurgy of iron, limestone
\( \left(\mathrm{CaCO}_{3}\right) \) acts as a flux and forms
calcium silicate \( \mathrm{CaSiO}_{3}(\mathrm{slag}) \)
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. Both Assertion and Reason are incorrect
Subject: Maths
The points \( P, Q, R \) have regular cartesian coordinates
(1,1,-1),(4,1,2) and (-2,1,2)
respectively. Which of the following is
true for the triangle \( P Q R ? \)
A. All the sides have the same length.
в. \( Q R=2 P Q \)
c. Angle \( P Q R \) is a right angle.
D. The area of the triangle is 18 square units.
Subject: Maths
If \( \tan ^{-1} \frac{\sqrt{1+x^{2}}-\sqrt{1-x^{2}}}{\sqrt{1+x^{2}}+\sqrt{1-x^{2}}}=\alpha, \) then
\( x^{2}= \)
\( \mathbf{A} \cdot \cos 2 \alpha \)
B. \( \sin 2 \alpha \)
\( c \cdot \tan 2 \alpha \)
D. \( \cot 2 \alpha \)
Subject: Chemistry
\( 4 L \) of \( 0.02 M \) aqueous solution of \( N a C l \)
was diluted by adding \( 1 L \) of water. The
molarity of the resultant solution is:
\( \mathbf{A} \cdot 0.004 \)
B. 0.008
c. 0.012
D. 0.016
Subject: Chemistry
The first and second dissociation
constants of an acid \( \boldsymbol{H}_{2} \boldsymbol{A} \) are \( \mathbf{1 . 0} \times \)
\( 10^{-5} \) and \( 5.0 \times 10^{-10} \) respectively. The
overall dissociation constant of the acid
will be:
A \( .5 .0 \times 10^{-5} \)
В. \( 5.0 \times 10^{15} \)
c. \( 5.0 \times 10^{-15} \)
D. \( 2.0 \times 10^{5} \)
Subject: Maths
Solve: \( 4 \cos ^{2} x+6 \sin ^{2} x=5 \)
A \( \cdot x=n \pi+\frac{\pi}{2} \)
B. \( x=n \pi-\frac{\pi}{3} \)
c. \( x=n \pi \pm \frac{\pi}{4} \)
D. None of these
Subject: Physics
A coil of radius \( R \) carries current \( I \).
Another concentric coil of radius \( r(r< \) \( <R) \) carries current \( i . \) Planes of two
coils are mutually perpendicular and both the coil are free to rotate about
common diameter. Find the maximum
kinetic energy of the smaller coil when both the coils are released. Masses of
coils are \( M \) and \( m, \) respectively.
Subject: Maths
Choose the correct answers from the
alternatives given. \( \frac{1}{x-1}-\frac{1}{x+1}-\frac{2}{x^{2}+1}-\frac{4}{x^{4}+1} \)
be equal to
A \( \cdot \frac{4}{x^{4}-1} \)
в. \( \frac{4}{x^{4}+1} \)
c. \( \frac{8}{x^{8}-1} \)
D. \( \frac{8}{x^{8}+1} \)
Subject: Chemistry
A drying agent is not suitable for removing the water vapor from a sample of gas with which the drying agent reacts chemically. Which of the following gases can properly be dried by means of \( N a O H ? \)
A \( \cdot C O_{2} \)
в. \( S O_{2} \)
\( c . H B r \)
D. \( O_{2} \)
E . \( H C l \)
Subject: Chemistry
Select correct about \( \boldsymbol{A l}\left(\boldsymbol{B} \boldsymbol{H}_{4}\right)_{3} \)
A. all three tetrahydride borate form two hydrogen bridges
B. two \( B H_{4}^{\Theta} \) form 2 hydrogen bridges and one form one hydrogen bridge
\( \mathrm{C} \cdot \) one \( B H_{4}^{\Theta} \) form 2 hydrogen bridge and two form one hydrogen bridge
D. \( B \) form only \( 2 c-2 e \) bond
Subject: Maths
\( \ln \Delta A B C, A B=8 \mathrm{cm}, A C=5 \mathrm{cm} \) and
\( \boldsymbol{m} \angle \boldsymbol{A}=\mathbf{5 0}^{\circ} . \) Then
(a) What is the length of the perpendicular from \( C \) to \( A B ? \)
(b) Find the length of BC \( \left[\sin 50^{\circ}=0.7660, \cos 50^{\circ}=\right. \)
\( 0.6428, \) tan50 \( ^{\circ}=1.1918 \)
Subject: Maths
If a line makes an angle of \( \pi / 4 \) with the positive direction of each of \( x \) -axis and
\( \boldsymbol{y} \) -axis, then the angle that the line makes with the positive direction of the \( z \) -axis is
A \( \cdot \frac{\pi}{6} \)
в.
c.
D.
Subject: Physics
A crystal of intrinsic silicon at room
temperature has a carrier
concentration of \( 1.6 \times 10^{16} / m^{3} . \) If the
donor concentration level is \( 0.48 \times \)
\( 10^{20} / m^{3}, \) then the concentration of
holes in the semiconductor is:
A \( \cdot 5.3 \times 10^{12} / m^{3} \)
B . \( 4 \times 10^{11} / m^{3} \)
c. \( 4 \times 10^{12} / m^{3} \)
D. \( 5.3 \times 10^{11} / m^{3} \)
Subject: Chemistry
Select correct statement(s):
I) When excess \( F e C l_{3} \) solution is added
to \( \boldsymbol{K}_{\mathbf{4}}\left[\boldsymbol{F} \boldsymbol{e}(\boldsymbol{C} \boldsymbol{N})_{5}\right] \) solution, in addition to
\( \boldsymbol{F} \boldsymbol{e}^{I I I}\left[\boldsymbol{F} \boldsymbol{e}^{I I}(\boldsymbol{C} \boldsymbol{N})_{\boldsymbol{6}}\right]^{-}, \boldsymbol{F} \boldsymbol{e}^{I I}\left[\boldsymbol{F} \boldsymbol{e}^{I I I}(\boldsymbol{C} \boldsymbol{N})_{\boldsymbol{6}}\right] \)
is also formed due to side redox
reaction
(II) When \( F e C l_{2} \) is added to
\( \boldsymbol{K}_{3}\left[\boldsymbol{F} e(\boldsymbol{C} \boldsymbol{N})_{6}\right] \) solution, in addition to
\( \boldsymbol{F} \boldsymbol{e}^{I I}\left[\boldsymbol{F} \boldsymbol{e}^{I I I}(\boldsymbol{C} \boldsymbol{N})_{\boldsymbol{6}}\right]^{-}, \boldsymbol{F} \boldsymbol{e}^{I I I}\left[\boldsymbol{F} \boldsymbol{e}^{I I}(\boldsymbol{C} \boldsymbol{N})_{\boldsymbol{6}}\right] \)
is also formed due to side redox
reaction
\( (\| I) F e^{I I I}\left[F e^{I I}(C N)_{6}\right]^{-} \) is
paramagnetic while \( \boldsymbol{F} e^{I I}\left[\boldsymbol{F} e^{I I I}(\boldsymbol{C} \boldsymbol{N})_{6}\right]^{-} \) is diamagnetic
\( (\mathrm{IV}) \boldsymbol{F} \boldsymbol{e}^{I I}\left[\boldsymbol{F} \boldsymbol{e}^{I I}(\boldsymbol{C} \boldsymbol{N})_{6}\right]^{-} \) is diamagnetic
while \( \boldsymbol{F e}^{I I}\left[\boldsymbol{F} e^{I I I}(\boldsymbol{C} \boldsymbol{N})_{6}\right]^{-}, \) is
paramagnetic
A \( . \) ।, ॥
в. ॥I, Iv
c. both (a) and (b)
D. None of these
Subject: Physics
When \( _{3}^{7} \mathrm{Li}\left(M_{L i}=7.016004 \mu\right) \) is
bombarded by a proton two \( \alpha \) - particles
result. \( \left(M_{H e}=4.002603 \mu\right) . \) Find the reaction energy
A . 13.35 MeV
B. 14.85 MeV
c. \( 16.08 \mathrm{MeV} \)
D. 17.35 MeV
Subject: Maths
The function \( \boldsymbol{f} \) satisfying \( \frac{\boldsymbol{f}(\boldsymbol{b})-\boldsymbol{f}(\boldsymbol{a})}{\boldsymbol{b}-\boldsymbol{a}} \neq \boldsymbol{f}^{\prime}(\boldsymbol{x}) \) for any \( \boldsymbol{x} \in(\boldsymbol{a}, \boldsymbol{b}) \)
is :
A \( \cdot f(x)=x^{1 / 3}, a=-1, b=1 \)
B. \( f(x)=1 / x ; a=1, b=4 \)
C . \( f(x)=x|x| ; a=-1, b=1 \)
D. None of these
Subject: Chemistry
\( 18.0 g \) of \( \operatorname{glucose}\left(C_{6} H_{12} O_{6}\right) \) is added to
\( 178.2 g \) of water. The vapour pressure of water for this aqueous solution at \( 100^{\circ} \mathrm{C} \)
is :
A . \( 759 . .00 \) Torr
B. 7.60 Torr
c. 76.00 torr
D. 752.40 Torr
Subject: Chemistry
The equilibrium constant for a reaction
is \( 20 . \) What will be the value of \( \Delta G ? \)
\( \boldsymbol{R}=\mathbf{8 . 3 1 4} \boldsymbol{J} \boldsymbol{K}^{-1-1}, \boldsymbol{T}=\boldsymbol{3 0 0} \boldsymbol{K} \)
Subject: Maths
If \( \int x^{5} e^{-x^{2}} d x=g(x) \cdot e^{-x^{2}}+C \) then
the value of \( g(-1) \) is?
\( A \cdot \frac{3}{2} \)
в. \( \frac{5}{2} \)
\( c \cdot-\frac{5}{2} \)
D.
Subject: Chemistry
In the Contact process, sulphur trioxide is not converted to sulphuric acid by
reacting it with water. Instead a twostep procedure is used. The equations for the two steps involved are:
\( \boldsymbol{S} \boldsymbol{O}_{\boldsymbol{x}}+\boldsymbol{H}_{2} \boldsymbol{S} \boldsymbol{O}_{4} \rightarrow \boldsymbol{H}_{2} \boldsymbol{S}_{2} \boldsymbol{O}_{\boldsymbol{y}} \)
\( \boldsymbol{H}_{2} \boldsymbol{S}_{2} \boldsymbol{O}_{7}+\boldsymbol{H}_{2} \boldsymbol{O} \rightarrow \boldsymbol{2} \boldsymbol{H}_{2} \boldsymbol{S} \boldsymbol{O}_{4} \)
Find the value of \( x \) and \( y: \)
A. \( x=2, y=5 \)
в. \( x=3, y=5 \)
c. \( x=2, y=7 \)
D. \( x=3, y=7 \)
Subject: Chemistry
A \( 0.0020 M \) aqueous solution of an
ionic compound \( \boldsymbol{C} \boldsymbol{o}\left(\boldsymbol{N} \boldsymbol{H}_{3}\right)_{5}\left(\boldsymbol{N} \boldsymbol{O}_{2}\right) \boldsymbol{C l} \)
freezes at \( -0.00732^{\circ} \mathrm{C} . \) Number of
moles of ions which 1 mole of ionic
compound produces on being dissolved in water will be:
\( \left[k_{f}=1.86^{\circ} C / m\right] \)
A . 1
B. 2
\( c .3 \)
D. 4
Subject: Maths
\( f(x)=\left\{\begin{array}{ll}1 & x>0 \\ 0 & x=0 \text { and } \\ -1 & x<0\end{array}\right. \)
\( \boldsymbol{g}: \boldsymbol{R} \rightarrow \boldsymbol{R}, \boldsymbol{g}(\boldsymbol{x})=[\boldsymbol{x}], \) then \( (\boldsymbol{f} \circ \boldsymbol{g})(\boldsymbol{\pi}) \)
is:
\( A \)
B.
\( c \)
D. -
Subject: Maths
How many cuboids of size \( 4 c m \times \)
\( 3 c m \times 1 c m 4 c m \times 3 c m \times 2 c m \) can be
inscribed on cube of size \( 12 \mathrm{cm} \times \)
\( 12 c m \times 12 c m ? \)
Subject: Maths
Let \( \boldsymbol{X}=\{1,2,3,4,5\} . \) fr the relation \( \boldsymbol{g}= \)
\( \{(1,2),(2,3),(3,4),(4,5),(5,1),\} \) on
\( X \) is a function from \( X \) to \( X \).then find
\( \boldsymbol{g}(\boldsymbol{g}(\boldsymbol{g}(\boldsymbol{4}))) \)
Subject: Chemistry
From the table given below, furnish your points of inference.
\begin{tabular}{ll} 
Substance & Solubility at \( 25^{\circ} \mathrm{C} \) \\
\( \mathrm{NaCl} \) & \( 36 \mathrm{g} \) \\
\( \mathrm{NaBr} \) & \( 95 \mathrm{g} \) \\
\( \mathrm{Nal} \) & \( 184 \mathrm{g} \) \\
\hline
\end{tabular}
Subject: Biology
Assertion
Changes in volume of thoracic cavity reflect on volume of pulmonary cavity.
Reason

We can alter the pulmonary volumes directly for breathing.
A. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
B. Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion
c. Assertion is correct but Reason is incorrect
D. Both Assertion and Reason are incorrect
Subject: Physics
In the figure shown an ideal liquid is flowing through the tube which is of uniform area of cross-section. The
liquid has velocities \( \boldsymbol{v}_{A} \) and \( \boldsymbol{v}_{B}, \) and
pressures \( P_{A} \) and \( P_{B} \) at points \( A \) and \( B \) respectively. Then it going to be
A \( \cdot v_{B}>v_{A} \)
\( \mathbf{B} \cdot v_{B}=v_{A} \)
\( \mathbf{c} \cdot P_{B}<P_{A} \)
\( \mathbf{D} \cdot P_{B}=P_{A} \)