AkshitPareek2004/jee-question-analyzer-data huggingface dataset:
Subject: Chemistry
\( \mathbf{2} S \boldsymbol{O}_{2}(\boldsymbol{g})+\boldsymbol{O}_{2}(\boldsymbol{g}) \longrightarrow \boldsymbol{2} \boldsymbol{S} \boldsymbol{O}_{3}(\boldsymbol{g}) \)
For this reaction relate \( \Delta H \) and \( \Delta U \)
A. \( \Delta H=\Delta U \)
в. \( \Delta H>\Delta U \)
c. \( \Delta H<\Delta U \)
D. None of these
Subject: Physics
Explain the reason which ray of light wil
be transmitted through the face \( A B \) the
refractive index of the prism for red,
green, blue are \( 1.39,1.42,1.47 ? \sin \)
\( \mathbf{7 1}=\mathbf{4 6}^{\circ}, \sin . \mathbf{7 0}=\mathbf{4 4}^{\circ}, \operatorname{sin.67}=\mathbf{4 2}^{\circ} \)
Subject: Maths
If \( \boldsymbol{P}(\boldsymbol{A})=\frac{\mathbf{3}}{\boldsymbol{4}}, \boldsymbol{P}\left(\boldsymbol{B}^{\prime}\right)=\frac{1}{3} \boldsymbol{a} \boldsymbol{n} \boldsymbol{d} \boldsymbol{P}(\boldsymbol{A} \cap \)
\( B)=\frac{1}{2} \) then find \( P(A \cup B) \)
A \( \cdot \frac{5}{12} \)
в. \( \frac{6}{12} \)
c. \( \frac{7}{12} \)
D. \( \frac{11}{12} \)
Subject: Chemistry
\( \boldsymbol{C H}_{2}=\boldsymbol{C H}_{2}+\boldsymbol{B r}_{2} \stackrel{N a C l}{\longrightarrow} \quad \boldsymbol{P r o d u c t s} \)
Which of the following product is not formed in the above reaction?
\( \mathbf{A} \cdot B r C H_{2} C H_{2} B r \)
в. \( C l C H_{2} C H_{2} C l \)
c. \( B r C H_{2} C H_{2} C l \)
D. All are formed
Subject: Maths
f \( \mathrm{E} \) and \( \mathrm{F} \) are independent events then:
This question has multiple correct options
A. E \& F mutually exclusive
B. E \& \( \bar{F} \) (complement of the event \( F \) ) are independent
C \( . \bar{E} \& \bar{F} \) are independent
D \( . P(E / F)+P(\bar{E} / F)=1 \)
Subject: Maths
In the diagram, vector \( C \) is equivalent to
B \( . \bar{D}-\bar{A}+\bar{B} \bar{B} \)
c. \( \bar{A}+\bar{B}-\bar{D} \)
\( \mathbf{D} \cdot \bar{D}+\bar{A}-\bar{B} \)
Subject: Physics
When did a major Tsunami occur in the
Indian ocean?
A \( \cdot \) on \( 26^{t h} \) December, 2004
B. On \( 26^{\text {th }} \) July, 2004 .
c. on \( 26^{\text {th }} \) December, 2001
D. on \( 26^{t h} \) July, 2001
Subject: Chemistry
Which of the following aqueous solutions has the highest boiling point?
A \( .0 .1 \mathrm{M} \) К \( \mathrm{NO}_{3} \)
В. \( 0.1 \mathrm{M} \) Na \( _{3} \mathrm{PO}_{4} \)
c. \( 0.1 \mathrm{M} \) ВаСг
D. \( 0.1 \mathrm{M} \mathrm{K}_{2} \mathrm{SO}_{4} \)
Subject: Chemistry
The pH of solution in a cell : Reference
electrode \( \| \boldsymbol{H}_{3} \boldsymbol{O}^{+}(?) \boldsymbol{H}_{2} \mid \boldsymbol{P} \boldsymbol{t} \) can be
determined by using the formula \( \boldsymbol{p} \boldsymbol{H}= \) \( -\frac{\left[\boldsymbol{E}_{\text {cell}}+\boldsymbol{E}_{\text {ref}}\right]}{\mathbf{0 . 0 5 9}} . \) However, the use of
hydrogen electrode to determine pH is usually ignored. Which are the correct facts about this observation?
This question has multiple correct options
A. The use of H-electrode hinders in the establishment of the equilibrium at the surface and the electrode no Ionger behaves reversibly
B. The use of H-electrode is usually restricted if solution contains reducible materials
c. The use of H-electrode is usually restricted as it is easily poisoned
D. The use of quinhydrone electrode as electrode is usually preferred as reference electrode \( \left|H_{3} O^{+}, Q, Q H_{2}\right| A u \)
Subject: Chemistry
Identify the elements in the Periodic Table:
A: Which shows diagonal relationship to \( B e \)
B: Which shows diagonal relationship to
\( L i \)
A. \( A: A l, B: M g \)
в. \( A: S i, B: M g \)
c. \( A: M g, B: A l \)
D. \( A: A l, B: S i \)
Subject: Chemistry
The hybridization and geometry of
Br \( F_{3} \) molecules are:
A \( \cdot s p^{3} d \) and \( T \) -shaped
B \( \cdot s p^{3} d^{2} \) and tetragonal
\( \mathrm{c} \cdot s p^{3} d \) and bent
D. none of these
Subject: Chemistry
Assertion
Gold and silver are extracted from their
native ores by leaching.
Reason
Both silver and gold particles dissolve in dilute solution of sodium cynide in
presence of oxygen.
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
A man \( 1.8 \mathrm{m} \) tall wishes to see full-
length image in a plane mirror. The length of the shortest mirror in which he
can see his entire image is:
(Assume that the mirror is hanged vertically on a wall in front of the man).
A. \( 0.6 m \)
в. \( 0.9 m \)
\( c .1 .2 m \)
D. \( 1.5 \mathrm{m} \)
Subject: Maths
ff \( (x)=\left\{\begin{array}{l}x^{2} x \geq 0 \\ x x<0\end{array}\right. \)
then \( (f o f)(x) \) is given by
A \( \cdot x^{2} \) for \( x \geq 0 \) and \( x \) for \( x<0 \)
B. \( x^{4} \) for \( x \geq 0 \) and \( x^{2} \) for \( x<0 \)
c. \( x^{4} \) for \( x \geq 0 \) and \( -x^{2} \) for \( x<0 \)
D. \( x^{4} \) for \( x \geq 0 \) and \( x \) for \( x<0 \)
Subject: Chemistry
Which one of the following is an amphoteric oxide?
A \( \cdot M n_{2} O_{7} \)
в. \( C r O \)
\( \mathrm{c} \cdot V_{2} \mathrm{O}_{4} \)
D. \( C r_{2} O_{3} \)
E. \( V_{2} O_{3} \)
Subject: Physics
The ratio of momenta of an electron and a
\( \alpha \) -particle which is accelerated from rest
by a potential difference of \( 100 \mathrm{V} \) is:
\( A \)
в. \( \sqrt{\frac{2 m_{e}}{m_{\alpha}}} \)
c. \( \sqrt{\frac{m_{e}}{m_{\alpha}}} \)
D. \( \sqrt{\frac{m_{e}}{2 m_{\alpha}}} \)
Subject: Physics
Doubly ionised Helium atoms and
Hydrogen ions are accelerated from rest through the same potential drop. The ratio of the final velocities of the Helium
and the Hydrogen ions is
\( A \cdot 2 \)
B. \( \sqrt{2} \)
\( c \cdot 1 / 2 \)
D. \( 1 / \sqrt{2} \)
Subject: Biology
The difference between systolic and
diastolic pressure in human is
\( \mathbf{A} \cdot 120 \mathrm{mm} \mathrm{Hg} \)
B. \( 80 \mathrm{mm} \) Hg
c. \( 40 \mathrm{mm} \) Hg
D. \( 200 \mathrm{mm} \) Hg
Subject: Chemistry
What is the total pressure of the dry gas collected if the vapor pressure due to
water at \( 25^{\circ} C \) is 24 mm Hg\( ? \)
A. \( 24 \mathrm{mm} \mathrm{Hg} \)
в. \( 240 \mathrm{mm} \mathrm{Hg} \)
\( \mathbf{c} .736 \mathrm{mm} \mathrm{Hg} \)
D. \( 760 \mathrm{mm} \mathrm{Hg} \)
Subject: Chemistry
Compounds are shown with the no. of \( R M g X \) required for the complete reaction. Select the incorrect option.
A. \( C H_{3} C O O C_{2} H_{5} \)
в. \( C H_{3} \) СООС \( l_{2} \)
с. НОСН\( _{2} \)СООС\( _{2} \)Н\( _{5} \)
D.
Subject: Maths
\( \int \frac{(x+3) e^{x}}{(x+4)^{2}} d x \) is equal to
A. \( \frac{1}{(x+4)^{2}}+C \)
в. \( \frac{e^{x}}{(x+3)}+C \)
c. \( \frac{e^{x}}{(x+4)^{2}}+C \)
D. \( \frac{e^{x}}{(x+4)} \)
Subject: Chemistry
Out of \( \boldsymbol{C u}_{2} \boldsymbol{S}, \boldsymbol{H} \boldsymbol{g} \boldsymbol{S}, \boldsymbol{A} \boldsymbol{g}_{2} \boldsymbol{S} \) and \( \boldsymbol{Z} \boldsymbol{n} \boldsymbol{S} \)
roasting will convert the minerals into
metals in case of
A. \( C u_{2} S, \) ZnS
в. \( H g S, Z n S \)
c. \( C u_{2} S, A g_{2} S \)
D. \( H g S \)
Subject: Physics
Two soap bubbles of different radii \( \boldsymbol{R}_{1} \)
and \( R_{2}(<R) \) coalesee to form an
interface of radius \( R, \) The correct value
of R is
A. \( R=R_{1}-R_{2} \)
в. \( R=\frac{R_{1}+R_{2}}{2} \)
c. \( \frac{1}{R}=\frac{1}{R_{2}}-\frac{1}{R_{1}} \)
D. \( \frac{1}{R}=\frac{1}{R_{2}}+\frac{1}{R_{1}} \)
Subject: Chemistry
\( \mathbf{3} \boldsymbol{H} \boldsymbol{C} \equiv \boldsymbol{C} \boldsymbol{H} \frac{r e d h o t}{\boldsymbol{F} e}(\boldsymbol{A}) \frac{C \boldsymbol{H}_{3} C \boldsymbol{O} C l}{A l C l_{3}} \)
\( (B) \frac{N i / H_{2}}{25^{o} C} C+D \)
Relation betwen \( C \) and \( D \)
A . Identical
B. Enantiomer
c. Diastereomer
D. Position
Subject: Chemistry
If ionic radius of \( C s^{+} \) and \( C s^{-} \) are \( 1.69 \AA \)
and \( 1.89 \AA \) respectively, the edge length of unit cell is :
A \( \cdot 4.04 A^{\circ} \)
B . \( 3.54 A^{\circ} \)
c. \( 7.00 A^{\circ} \)
D. \( 1.04 A^{\circ} \)
Subject: Physics
According to Einstein's theory of relativity, mass can be converted into energy and vice-versa. The lightest elementary particles, taken to be the electron, has a mass equivalent to
\( 0.51 M e V \) of energy. Then we can say
that
This question has multiple correct options
A. The minimum amount of energy available through conversion of mass into energy is \( 1.02 \mathrm{MeV} \)
B. The least energy of a \( \gamma- \)ray photon that can be converted into mass is \( 1.02 \mathrm{MeV} \)
c. Whereas the minimum energy released by conversion of mass into energy is \( 1.02 \mathrm{MeV} \), it is only a \( \gamma-\mathrm{ray} \) photon of energy \( 0.51 \mathrm{MeV} \) and above that can be converted into mass
D. Whereas the minimum energy released by conversion of mass into energy is \( 0.51 \mathrm{MeV} \), it is only a \( \gamma-\mathrm{ray} \) photon of energy \( 1.02 \mathrm{MeV} \) and above that can be converted into mass
Subject: Physics
A body of mass \( 10 \mathrm{kg} \) is on a rough inclined plane having an inclination of
\( 30^{\circ} \) with the horizontal. If coefficient of
friction between the surfaces of contact
of the body and the plane is \( 0.5 . \) Find the least force required to pull the body up
the plane.
\( \mathbf{A} \cdot 80.5 N \)
B. \( 91.4 N \)
c. \( 85.4 N \)
D. \( 78.4 N \)
Subject: Physics
The Fraunhoffer 'diffraction' pattern of a single slit is formed in the focal plane of a lens of focal length 1 m. The width of
slit is 0.3 mm. If third minimum is
formed at a distance of \( 5 m m \) from
central maximum, then wavelength of
light will be
\( \mathbf{A} \cdot 5000 \stackrel{\circ}{A} \)
B . 2500 , \( ^{\text {o }} \) A
\( \mathbf{c} \cdot 7500 \hat{A} \)
D. 8500 a
Subject: Maths
The expansion of \( \left[\boldsymbol{x}+\left(\boldsymbol{x}^{\mathbf{3}}-\mathbf{1}\right)^{\mathbf{1} / 2}\right]^{\mathbf{5}}+ \)
\( \left[x-\left(x^{3}-1\right)^{1 / 2}\right]^{5} \) is a polynomial of
degree
\( \mathbf{A} \cdot \mathbf{8} \)
B. 7
\( c \cdot 6 \)
D. 5
Subject: Chemistry
Universal gas constant R has the value?
A . 0.08206 L. atm.mol \( ^{-1} K^{-1} \)
B. \( 8.206 L . a t m . m o l^{-1} K^{-1} \)
c. 8.314 L.atm.mol\( ^{-1} K^{-1} \)
D. 2L.atm.mol-1 \( K^{-1} \)
Subject: Chemistry
A solution is prepared by dissolving \( 5.64 \mathrm{g} \) of glucose in \( 60 \mathrm{g} \) of water. Calculate the molality of the solution.
A. \( 0.2611 \mathrm{m} \)
B. 1.21 \( \mathrm{m} \)
\( c \cdot 1.044 \mathrm{m} \)
D. 0.522 \( \mathrm{m} \)
Subject: Physics
A thin, symmetric double convex lens of
power \( \boldsymbol{P} \) is cut into three parts \( \boldsymbol{A}, \boldsymbol{B} \)
and \( C \) as shown. The power of
This question has multiple correct options
A \( . A \) is \( P \)
B. \( A \) is \( 2 P \)
\( \mathbf{c} \cdot B \) is \( P / 2 \)
D. \( C \) is \( P / 4 \)
Subject: Maths
Which of the following lines is parallel
to the line \( 3 x-2 y+6=0 ? \)
A. \( 3 x+2 y-12=0 \)
в. \( 4 x-9 y=6 \)
c. \( 12 x+18 y=15 \)
D. \( 15 x-10 y-9=0 \)
Subject: Physics
A wire carrying current of \( 10 A \) supports
a wire of \( 10 \mathrm{cm} \) long and weighing \( 1 \mathrm{g} \)
vertically above it at a distance of \( 1 \mathrm{cm} \)
The current that is passing through the wire is :
\( \mathbf{A} \cdot 490 A \)
B . \( 205 A \)
\( c \cdot 408 A \)
D. \( 316 A \)
Subject: Maths
The distance between the pair of parallel lines \( x^{2}+2 x y+y^{2}-8 a x- \)
\( 8 a y-9 a^{2}=0 \) is
A \( .2 \sqrt{5} a \)
an
в. \( \sqrt{10} a \)
\( c \cdot 10 a \)
D. \( 5 \sqrt{2} a \)
Subject: Maths
Length of the latus rectum of the
hyperbola \( \boldsymbol{x} \boldsymbol{y}-\boldsymbol{3} \boldsymbol{x}-\boldsymbol{4} \boldsymbol{y}+\boldsymbol{8}=\mathbf{0} \)
A .4
B. \( 4 \sqrt{2} \)
c. 8
D. none of these
Subject: Chemistry
For a first order reaction, \( \boldsymbol{A} \rightarrow \) Product
the rate of reaction at \( [\boldsymbol{A}]=\mathbf{0 . 2} \) mol \( \boldsymbol{L}^{-1} \)
is \( 1.0 \times 10^{-2} \) mol \( L^{-1} \) min \( ^{-1} . \) The half-
life period for the reaction is:
A \( \cdot 832 \) s
B. 440 s
\( \mathbf{c} \cdot 416 \mathrm{s} \)
D. 14 s
Subject: Chemistry
\( 25.0 \mathrm{g} \) of \( F e S O_{4} .7 H_{2} O \) was dissolved in
water containing dilute \( H_{2} S O_{4} \) and the
volume was made up to 1.0 L. 25 mL of
this solution required 20 mL of an \( \frac{N}{10} K M n O_{4} \) solution for complete oxidation. The percentage of
\( F e S O_{4} \cdot 7 H_{2} O \) in the acid solution is:
A . \( 78 \% \)
B. \( 98 \% \)
c. \( 89 \% \)
D. \( 79 \% \)
Subject: Physics
The ratio of the radii of the planets \( \boldsymbol{R}_{1} \)
and \( R_{2} \) is \( k . \) The ratio of the acceleration
due to gravity is \( r . \) The ratio of the escape velocities from them will be
\( \mathbf{A} \cdot k r \)
B. \( \sqrt{k r} \)
c. \( \sqrt{(k / r)} \)
D. \( \sqrt{(r / k)} \)
Subject: Chemistry
A radioactive element A decays by the sequence and with half-lives given below:
\( \boldsymbol{A} \frac{\boldsymbol{\alpha}}{\mathbf{3 0} \text { min }} \boldsymbol{B} \frac{\boldsymbol{2} \boldsymbol{\beta}}{\boldsymbol{2} \text { days }} \boldsymbol{C} \)
Which of the following statements about this system are correct?
This question has multiple correct options
A. The mass number of B is greater than A
B. After two hours, less than \( 10 \% \) of the intial A is left
c. Maximum amount of B present at any time is less than \( 50 \% \) of the initial amount of \( A Q \)
D. The atomic numbers of A and C are the same
Subject: Physics
A material particle with a rest mass
\( m_{0}^{\prime} \) is moving with speed of light 'c' The de-Broglie wavelength associated is given by
\( ^{A} \cdot \frac{h}{m_{0} c} \)
в. \( \frac{m_{0}}{h} \)
c. zero
\( D \cdot \infty \)
Subject: Physics
An athlete of mass \( 70.0 \mathrm{kg} \) applies a force of \( 500 \mathrm{N} \) to a \( 30.0 \mathrm{kg} \) luge, which is initially at rest, over a period of 5.00 s before jumping onto the luge. Assuming there is no friction between the luge and
the track on which it runs, what is its
velocity after the athlete jumps on?
A. \( 12.5 \mathrm{m} / \mathrm{s} \)
B. 25.0 \( \mathrm{m} / \mathrm{s} \)
c. \( 35.7 \mathrm{m} / \mathrm{s} \)
D. 83.3 \( \mathrm{m} / \mathrm{s} \)
E . \( 100 \mathrm{m} / \mathrm{s} \)
Subject: Maths
Area of the segment cut off from the
parabola \( \boldsymbol{x}^{2}=\mathbf{8} \boldsymbol{y} \) by the line \( \boldsymbol{x}-\boldsymbol{2} \boldsymbol{y}+ \)
\( \mathbf{8}=\mathbf{0} \) is:
A . 12
B. 24
c. 48
D. 36
Subject: Physics
A charge \( (5 \sqrt{2}+2 \sqrt{5}) \) coulomb is placed on the axis of an infinite disc at a distance a from the centre of disc. The
flux of this charge on the part of the disc having inner and outer radius of a and 2a will be :
A \( \cdot \frac{3}{2 \varepsilon_{0}} \)
в. \( \frac{1}{2 \varepsilon_{0}} \)
c. \( \frac{2[\sqrt{5}+\sqrt{2}]}{\varepsilon_{0}} \)
D. \( \frac{2 \sqrt{5}+5 \sqrt{2}}{2 \varepsilon_{0}} \)
Subject: Maths
\( \tan (\pi \cos \theta)=\cot (\pi \sin \theta) \) then the
value(s) of \( \cos \left(\theta-\frac{\pi}{4}\right) \) is (are)
A \( \cdot \frac{1}{2} \)
в. \( \frac{1}{\sqrt{2}} \)
c. \( \pm \frac{1}{2 \sqrt{2}} \)
D. \( \frac{1}{3 \sqrt{2}} \)
Subject: Physics
Assertion - the basic pf Laplace correction was that, exchange of heat between the region of compression and rarefraction in air is not possible. reason - Air is a bad conductor of heat
and velocity of sound in air is large.
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
Choose the correct answer from the
alternative given
Amongst \( T i F_{6}^{2-}, C o F, C u_{2} C l_{2} \) and
NiCl, which are the colourless
species? (atomic number of \( \mathrm{Ti}=22, \mathrm{Co}= \) \( 27, C u=29, N i=28) \)
A \( \cdot C o F_{6}^{3-} \) and \( N i C l_{4}^{2} \)
B . \( T i F_{6}^{2-} \) and \( C u_{2} C l_{2} \)
c. \( C u_{2} C l_{2} \) and \( N i C l_{4}^{2} \)
D. \( T i F_{6}^{2-} \) and \( C o F_{6}^{3-} \)
Subject: Physics
Consider the Gaussian surface that
surrounds part of the charge distribution shown in Fig. Then, the contribution to the electric field at point
\( \boldsymbol{P} \) arises from charges.
B. \( q_{3} \) and \( q_{4} \) only
c. \( q_{1}, q_{2}, q_{3} \) and \( q_{4} \)
D. None of the above
Subject: Maths
In a triangle \( A B C \)
\( \boldsymbol{b} \cos (\boldsymbol{C}+\boldsymbol{\theta})+\boldsymbol{c} \cos (\boldsymbol{B}-\boldsymbol{\theta})= \)
A \( . a \cos \theta \)
B. \( a \sin \theta \)
c. \( a \tan \theta \)
D. a cot \( \theta \)
Subject: Maths
\( A \) and \( B \) are two sets having 3 elements in common. If \( n(A)=5, n(B)=4, \) then
what is \( n(A \times B) \) equal to?
\( \mathbf{A} \cdot \mathbf{0} \)
B. 9
c. 15
D. 20
Subject: Physics
\( 20 g \) of ice and \( 20 g \) of hot water are
mixed, when the ice is melted the
temperature of the mixture was found
to be \( 0^{\circ} \mathrm{C} \). The temperature of hot water taken should be
\( \left(L_{i c e}=80 \mathrm{cal} / \mathrm{g}\right) \)
A \( \cdot 40^{\circ} \mathrm{C} \)
B . \( 72^{0} C \)
\( \mathbf{c} \cdot 80^{\circ} C \)
D. \( 96^{\circ} C \)
Subject: Physics
A system of binary stars of masses \( \boldsymbol{m}_{\boldsymbol{A}} \)
and \( m_{B} \) are moving in circular orbits of
radii \( r_{A} \) and \( r_{B}, \) respectively. If \( T_{A} \) and
\( T_{B} \) are the time periods of masses \( m_{A} \)
and \( m_{B}, \) respectively then
\( \stackrel{T_{A}}{T_{B}}=\left(\frac{r_{A}}{r_{B}}\right)^{\frac{3}{2}} \)
B \( \left.\cdot T_{A}>T_{B} \text { (if } r_{A}>r_{B}\right) \)
c. \( T_{A}>T_{B} \) (if \( m_{A}>m_{B} \) )
D. \( T_{A}=T_{B} \)
Subject: Chemistry
Which of the compounds shown will react with dimethyl malonate in the presence of methoxide ion to give a compound, which on treatment with aqueous acid and gentle heating will decarboxylate to form butanoic acid?
A. \( C H_{2} C H C H_{2} \) СООН
в. \( C H_{3} C H_{2} B r \)
c. \( C H_{3} C H_{2} C O C H_{3} \)
D. \( C H_{3} C H_{2} C H_{2} B r \)
Subject: Chemistry
The number of moles of lead nitrate
needed to coagulate 2 mole of colloidal
\[
[\boldsymbol{A} \boldsymbol{g} \boldsymbol{I}] \boldsymbol{I}^{-} \text {is: }
\]
A .2
B.
c. \( \frac{1}{2} \)
D. \( \frac{2}{3} \)
E. 5 \( \overline{2} \)
Subject: Chemistry
Assertion
Separation of lanthanides is very
difficult.
Reason
Lanthanides differ only with electronic
configuration in antipen ultimate shell.
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
If \( g \) is the acceleration due to gravity on the earth's surface, the gain in the potential energy of an object of mass \( \boldsymbol{m} \)
raised from the surface of the earth to a
height equal to the radius \( R \) of the earth
is
A. \( 2 m g R \)
в. \( \frac{1}{2} m g R \)
c. \( \frac{1}{4} m g R \)
D. \( m g R \)
Subject: Maths
The distance between the parallel lines
\( 5 x-12 y-14=0 \) and \( 5 x-12 y+ \)
\( 12=0 \) is equal to
A \( \cdot \frac{1}{13} \)
B. 2
c. \( \frac{2}{13} \)
D. 4
E \( \cdot \frac{4}{13} \)
Subject: Physics
Figure shows a system of three concentric metal shells \( A, B \) and \( C \) with
radii a, 2a and 3a respectively. Shell B is earthed and shell \( C \) is given a charge \( Q \) Now if shell \( C \) is connected to shell \( A \) then the final charge on the shell B, is
equal to:
A. \( -\frac{3 Q}{4} \)
в. \( -\frac{8 Q}{11} \)
\( c \cdot-\frac{5 Q}{3} \)
D. \( -\frac{3 Q}{7} \)
Subject: Chemistry
Consider the reaction represented by the equation represented by the equation
\[
\begin{array}{l}
\boldsymbol{C H}_{3} \boldsymbol{C l}(\boldsymbol{g})+\boldsymbol{H}_{2} \boldsymbol{O}(\boldsymbol{g}) \rightarrow \\
\boldsymbol{C H}_{3} \boldsymbol{O H}(\boldsymbol{g})+\boldsymbol{H C l}(\boldsymbol{g})
\end{array}
\]
These kinetic data were obtained for the
given reaction concentrations
\( \begin{array}{ll}\text { Initial } & \text { Initial } \\ \text { conc (M) } & \text { conc (M) }\end{array} \) Initial rate of
disappearance of
\( \left[C H_{3} C l\right] \quad\left[H_{2} O\right] \) \( C H_{3} C l(M s \)
0.2 0.2
0.4 0.2 2
0.4
If \( H_{2} O \) is taken in large excess, the order of the reaction will be:
\( A \)
B. 2
\( c \cdot 3 \)
D. None of these
Subject: Physics
(a) A person cannot read newspaper placed nearer than \( 50 \mathrm{cm} \) from his eyes. Name the defect of vision he is
suffering from. Draw a ray diagram to illustrate this defect. List its two
possible causes. Draw a ray diagram to
show how this defect may be corrected using a lens of appropriate focal length.
(b) We see advertisements for eye donation on television or in newspapers.
Write the importance of such advertisements.
Subject: Maths
if \( \int f(x) d x=f(x), \) then \( \int\left(\frac{f(x)}{f^{\prime}(x)}\right) . d x \)
is equal to
A. \( x+c \)
B. \( \log f(x)+c \)
\( c \cdot \log F(x)+c \)
D. \( e^{f(x)}+c \)
Subject: Maths
Let \( A \) and \( B \) be two finite sets having \( m \)
and \( n \) elements respectively. Then the
total number of mapping from \( \boldsymbol{A} \) to \( \boldsymbol{B} \) is
\( A \cdot m n \)
B. \( 2^{m} \)
\( c \cdot m^{n} \)
D. \( n^{\text {m }} \)
Subject: Chemistry
What is the maximum amount of
nitrogen dioxide that can be produced by mixing \( 4.2 \mathrm{gm} \) of \( \mathrm{NO}(\mathrm{g}) \) and \( 3.2 \mathrm{gm} \) of
\( o_{2}(g) ? \)
A. (a) \( 4.60 \mathrm{gm} \)
B. (b) 2.30 gm
c. (c) 3.22 gm
D. (d) \( 6.44 \mathrm{gm} \)
Subject: Physics
A cubical region of side a has its centre
at the origin. It encloses three fixed point charges,- -q \( a t(0,-a / 4,0),+3 q \) at (0,0,0) and \( -q \) at \( (0,+a / 4,0) . \) Choose the correct
option(s):

This question has multiple correct options
A. The net electric flux crossing the plane \( x=+a / 2 \) is equal to the net electric flux crossing the plane \( x=-a / 2 \)
B. The net electric crossing the plane \( y=+a / 2 \) is more than the net electric flux crossing the plane \( y=-a / 2 \)
C. The net electric flux crossing the entire region is \( \frac{q}{\varepsilon_{0}} \)
D. The net electric flux crossing the piane \( z=+a / 2 \) is equal to the riet electric flux crossing the piane \( x= \) \( +a / 2 \)
Subject: Chemistry
The correct order of \( E_{M^{2+} / M}^{0} \) values with a negative sign for the four successive elements \( \mathrm{Cr}, \mathrm{Mn}, \mathrm{Fe} \) and \( \mathrm{Co} \) is:
\( A \cdot F e>M n>C r>C 0 \)
B. \( \mathrm{Cr}>\mathrm{Mn}>\mathrm{Fe}>\mathrm{Co} \)
\( \mathrm{c} \cdot \mathrm{Mn}>\mathrm{Cr}>\mathrm{Fe}>\mathrm{Co} \)
D. \( \mathrm{Cr}>\mathrm{Fe}>\mathrm{Mn}>\mathrm{Co} \)
Subject: Chemistry
Assertion
Catalytic converters in automobiles help in reducing pollution.
Reason
Hydrocarbons are oxidised into \( C O_{2} \)
and \( H_{2} O \) in the presence of an Oxidation catalyst (Pt or Pd) and NO is
reduced to \( N_{2} \) by reduction catalyst. Catalytic converter has dual catalyst system.
\[
\begin{array}{r}
\boldsymbol{C}_{\boldsymbol{x}} \boldsymbol{H}_{\boldsymbol{y}}+\left(\boldsymbol{x}+\frac{\boldsymbol{y}}{4}\right) \boldsymbol{O}_{2} \longrightarrow \boldsymbol{x} \boldsymbol{C} \boldsymbol{O}_{2}+ \\
\frac{y}{2} \boldsymbol{H}_{2} \boldsymbol{O} \quad \boldsymbol{2} \boldsymbol{N} \boldsymbol{O}+\boldsymbol{2} \boldsymbol{C O} \longrightarrow \boldsymbol{N}_{2}+
\end{array}
\]
\( 2 C O_{2} \)
A. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
B. Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion.
C. Assertion is correct but Reason is incorrect
D. Both Assertion and Reason are incorrect