AkshitPareek2004/jee-question-analyzer-data huggingface dataset:
Subject: Physics
The following deuterium reactions and corresponding reaction energies are found to occur
\( ^{14} N(d, p)^{15} N, Q=8.53 M e V \)
\( ^{15} N(d, \alpha)^{13} C, Q=7.58 M e V \)
\( ^{13} C(d, \alpha)^{11} B, Q=5.16 M e V \)
The rotation \( ^{14} N(d, p)^{15} N \) represents the reaction \( ^{14} N+d \rightarrow^{15} N+p \)
\( _{2}^{4} \boldsymbol{H} \boldsymbol{e}=\boldsymbol{4} . \boldsymbol{0} \boldsymbol{0} 2 \boldsymbol{6} \boldsymbol{a} \boldsymbol{m} \boldsymbol{u}_{, 1}^{2} \boldsymbol{H} e= \)
\( 2.014 a m u_{, 1}^{1} H=1.0078 a m u, n= \)
\( \mathbf{1 . 0 0 8 7 a m u}(\mathbf{1 a m u}=\mathbf{9 3 1 M e V}) \)
The Q values of the reaction
\( ^{11} \boldsymbol{B}(\boldsymbol{\alpha}, \boldsymbol{n})^{14} \boldsymbol{N} \) is
A. \( 0.5 e V \)
в. 0.5 Ме \( V \)
c. \( 0.05 \mathrm{MeV} \)
D. \( 0.05 e V \)
Subject: Physics
A light ray is incident on a prism in minimum deviation position and
suffers a deviation of \( 34^{\circ} \). If the shaded
half of the prism is removed off, then the same ray will suffer a deviation of :
A \( \cdot 0^{\circ} \)
B. 65
\( \mathrm{c} \cdot 17^{\circ} \)
D. 34
Subject: Maths
If \( \int \frac{d x}{x^{2}+a x+1}=f(g(x))+c, \) then
This question has multiple correct options
A \( \cdot f(x) \) is inverse trigonometric function for \( |a|>2 \)
B . \( f(x) \) is logarithmic function for \( |a|<2 \)
C . \( g(x) \) is quadratic function for \( |a|>2 \)
D \( \cdot f(x) \) is logarithmic function for \( |a|>2 \)
Subject: Physics
A cubic vessel (with faces horizontal \( + \)
vertical) contains an ideal gas at NTP. The vessel is being carried by a rocket which is moving at a speed of \( 500 \mathrm{m} / \mathrm{s} \) in vertical direction. The pressure of the
gas inside the vessel as observed by us on the ground.
A. Remains the same because \( 500 \mathrm{m} / \mathrm{s} \) is very much smaller than \( v_{r m s} \) of the gas
B. Remains the same because motion of the vessel as a whole does not affect the relative motion of the gas molecules and the walls
C. will increase by a factor equal to \( \left[v_{r m s}^{2}+(500)^{2}\right] / v_{r m s}^{2} \)
where \( v_{r m s} \) was the original means square velocity of the gas
D. Will be different on the top wall and bottom wall of the vessel
Subject: Maths
All the values of 'a' for which the
quadratic expression \( a x^{2}+(a- \)
2) \( x-2 \) is negative for exactly two
integral values of \( x \) may lie in
A. \( (1,3 / 2) \)
B. \( (3,2 / 2) \)
c. (1,2)
(i) 5
D. (-1,2)
Subject: Maths
The points of intersection of the curves
\( |z-3|=2 \) and \( |z|=2 \) in an argand
plane are
\( \mathbf{A} \cdot \frac{1}{2}(3 \pm i \sqrt{7}) \)
B \( \cdot \frac{1}{2}(3 \pm i \sqrt{3}) \)
c. \( \frac{3}{2} \pm i \sqrt{\frac{7}{2}} \)
D \( \cdot \frac{7}{2} \pm i \sqrt{\frac{3}{2}} \) )
Subject: Maths
The roots of \( a x^{2}+b x+c=0, \) where
\( a \neq 0, b, c \epsilon R \) are non real complex and
\( a+c<b \). Then
\( \mathbf{A} \cdot 4 a+c>2 b \)
B . \( 4 a+c<2 b \)
c. \( 4 a+c=2 b \)
D. None of these
Subject: Maths
In a regular pentagon \( A B C D E ; A C \)
and \( B E \) intersect at \( P . \) Calculate the
angles \( C B E \) and \( B P A \)
\( A \cdot 30^{\circ} \) and \( 60^{\circ} \)
B. \( 72^{\circ} \) and \( 108^{\circ} \)
c. \( 54^{\circ} \) and \( 108^{\circ} \)
D. \( 72^{\circ} \) and \( 72^{\circ} \)
Subject: Physics
A block od mass \( 10 \mathrm{kg} \) is moving up an
inclined plane of inclination \( 30^{\circ} \) with an initial speed of \( 5 \mathrm{m} / \mathrm{s} \). It stopes after 0.5
s, what is the value of coefficient of kinetic friction?
A . 0.5
B. 0.6
\( c \cdot \sqrt{3} \)
D. \( \frac{1}{\sqrt{3}} \)
Subject: Maths
In the Venn diagram, \( \boldsymbol{\xi}=\boldsymbol{F} \cup \boldsymbol{G} \cup \boldsymbol{H} \)
The shaded region in the diagram
represents set
\( A \cdot(F \cap H)^{\prime} \cup G \)
в. \( (F \cup H) \cap G \)
c. \( G \cup(F \cap H) \)
D. \( G \cap(F \cup H) \)
Subject: Physics
To determine the Youngs modulus of a wire,the formula is \( \boldsymbol{Y}=\frac{\boldsymbol{F}}{\boldsymbol{A}} \times \frac{\boldsymbol{\Delta} \boldsymbol{L}}{\boldsymbol{L}} \)
where \( L= \) length, \( A= \) area of cross
section of the wire, \( \Delta \mathrm{L}= \) change in length of the wire when stretched with a force F. The conversion factor to change
it from CGS to MKS system is :
\( A \cdot 1 \)
B. 10
c. \( 0 . \)
D. 0.01
Subject: Chemistry
Solubility of calcium phosphate (molecular mass, \( M \) ) in water is \( W \) g
per \( 100 m L \) at \( 25^{\circ} C . \) Its solubility
product at \( 25^{\circ} C \) will be approximately:
\( ^{\mathbf{A}} \cdot_{10^{9}}\left(\frac{W}{M}\right)^{5} \)
в. \( _{10^{7}}\left(\frac{W}{M}\right)^{5} \)
\( ^{\mathrm{c}} \cdot_{10^{5}}\left(\frac{W}{M}\right)^{5} \)
\( ^{\mathrm{D}} 10^{3}\left(\frac{W}{M}\right)^{5} \)
Subject: Chemistry
The e.m.f. of the cell
\( \boldsymbol{A} \boldsymbol{g}|\boldsymbol{A} \boldsymbol{g} \boldsymbol{C l} \| \boldsymbol{K} \boldsymbol{C l}(\boldsymbol{a q} .)| \boldsymbol{H}_{2} \boldsymbol{C l}_{2} \mid \boldsymbol{H} \boldsymbol{g} \) is
\( 0.0455 \mathrm{K} \) at \( 298 \mathrm{K} \) and the temperature
coefficient is \( 3.38 \times 10^{-4} V K^{-1} . \) The
reaction is taking place is:
A. \( H g_{2} C l_{2}(s)+2 A g(s) \rightarrow 2 A g C l(s)+2 H g(l) \)
B. \( H g_{2} C l_{2}(s)+3 A g(s) \rightarrow 3 A g C l(s)+4 H g(l) \)
C. \( H g_{2} C l_{2}(s)+A g(s) \rightarrow 2 A g C l(s)+4 H g(l) \)
D. none of these
Subject: Physics
A body of mass \( \mathrm{M} \) and charge q is
suspended from a string. When slightly displaced, it oscillates with period T. If a uniform electric field acts vertically downwards, then the new time period
will be:
A \( \cdot T^{\prime}=T \)
в. \( T^{\prime}<T \)
c. \( T^{\prime}>T \)
D. cannot be predicted
Subject: Maths
The fourth term in the expansion of \( \left(p x+\frac{1}{x}\right)^{n} \) is \( \frac{5}{2} . \) Then
This question has multiple correct options
\( \mathbf{A} \cdot n=6 \)
B . \( n=7 \)
c. \( p=\frac{1}{2} \)
D. \( p=\frac{1}{4} \)
Subject: Physics
A hollow conducting sphere is placed in
an electric field produced by a point
charge placed at point \( A, B \) and \( C \)
respectively, then:
A. \( V_{C}>V_{B} \)
B . \( V_{A}>V_{B} \)
с. \( V_{B}>V_{c} \)
\( \mathbf{D} \cdot V_{C}=V_{B} \)
Subject: Physics
Which of the following statements regarding the gravitational attraction between man and the earth are correct?
1. The man and the earth pull each other with the same force
2. The earth pulls the man with more
force than the man pulling the earth
3. The acceleration of the man due to
the earth's pull is more than that of the
earth due to the man's pull
4. The accelerations of the man and the
earth are the same
\( A \cdot 2 \) and 3
B. 1 and 4
c. 1 and 3
D. 2 and 4
Subject: Physics
In a nuclear reaction,
\( _{1}^{2} \boldsymbol{H}+_{1}^{2} \boldsymbol{H} \longrightarrow_{2}^{3} \boldsymbol{H} \boldsymbol{e}+_{0}^{1} \boldsymbol{n} \)
if the masses of \( _{1}^{2} H \) and \( _{2}^{3} H e \) are
\( \mathbf{2 . 0 1 4 7 4 1} \) amu and \( \mathbf{3 . 0 1 6 9 7 7} \) amu
respectively, then the \( Q \) -value of the
reaction is nearly:
B. 3.57 Mev
c. 0.82 Mev
D. 2.45 MeV
Subject: Maths
The side of an equilateral triangle is \( 4 \sqrt{3} \mathrm{cm} . \) The length of a perpendicular drawn from any vertex to the opposite
side will be
A. \( 4 \mathrm{cm} \)
B. 6 ст
\( c .8 c m \)
D. \( 9 \mathrm{cm} \)
Subject: Maths
In the given figure, \( A O B \) is a diameter
of the circle with center \( \boldsymbol{O} \) and \( \boldsymbol{A} \boldsymbol{C} \) is a
tangent to the circle at \( A \). If \( \angle B O C= \)
\( 130^{\circ}, \) then find \( \angle A C O \)
Subject: Physics
In Young's double slit experiment. the fringe width with light of wavelength \( \mathbf{0} \)
\( 6000 A \) is \( 3 \mathrm{mm} \). The fringe width, when the wavelength of light is changed to
\( 4000 A \) is
\( A \cdot 3 m m \)
B. \( 1 \mathrm{mm} \)
\( c \cdot 2 m m \)
D. \( 4 \mathrm{mm} \)
Subject: Physics
When a particle executing SHM
oscillates with a frequency' \( \omega^{\prime}, \) then the kinetic energy of the particle
A. Changes periodically with a frequency of ' \( \omega^{\prime} \)
B. Changes periodically with a frequency of '2 \( \omega \) '
C . changes periodically with a frequency of \( ^{\prime} \frac{\omega}{2} \)
D. Remains constant
Subject: Chemistry
If for a sucrose,elevation in boiling point
is \( 1.0^{\circ} \mathrm{C} \),then what will be the boiling
point of \( N a C l \) solution for same molal concentration?
\( \mathbf{A} \cdot 1.0^{\circ} \mathrm{C} \)
B . \( 2.0^{\circ} \mathrm{C} \)
\( \mathbf{c} \cdot 3.0^{\circ} \mathrm{C} \)
D. \( 4.0^{\circ} \mathrm{C} \)
Subject: Chemistry
Assertion
The mass spectrometer is used for determination of the atomic mass of
isotopes.
Reason
Isotopes are the atoms of the same element having a same atomic number but different mass numbers
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 incorrect but Reason is correct
D. Both Assertion and Reason are incorrect
Subject: Maths
If \( \boldsymbol{A}=\left[\begin{array}{cc}-\mathbf{5} & \mathbf{2} \\ \mathbf{1} & -\mathbf{3}\end{array}\right], \) then adj \( \mathbf{A} \) is equal to
A. \( \left[\begin{array}{ll}-3 & -2 \\ -1 & -5\end{array}\right] \)
(年) 0
В. \( \left[\begin{array}{cc}3 & -2 \\ -1 & 5\end{array}\right] \)
c. \( \left[\begin{array}{ll}5 & 1 \\ 2 & 3\end{array}\right] \)
D. \( \left[\begin{array}{ll}3 & 2 \\ 1 & 5\end{array}\right] \)
Subject: Maths
Find the greatest and the least values of the following function:
\( f(x)=\cos 3 x-15 \cos x+8 \) where
\( \boldsymbol{x} \epsilon\left[\frac{\boldsymbol{\pi}}{\mathbf{3}}, \frac{\boldsymbol{3} \boldsymbol{\pi}}{\boldsymbol{2}}\right] \)
Subject: Maths
Consider the points \( \boldsymbol{P}(\mathbf{2},-\mathbf{4}) ; \boldsymbol{Q}(\mathbf{4},-\mathbf{2}) \boldsymbol{a} \boldsymbol{n} \boldsymbol{d} \boldsymbol{R}(\mathbf{7}, \mathbf{1}) . \) The
points P,Q,R
A. form an equilateral triangle
B. form a right angled triangle
c. form an isosceles triangle which is not equilateral
D. are collinear
Subject: Physics
10 kg storage battery has an average
specific heat of \( 0.2 \mathrm{kcal} / \mathrm{kg}^{\circ} \mathrm{C} \). When fully charged, the energy content of the battery is 1 kcal. If the entire energy were used to raise the temperature,
then the temperature would increase by
A. \( 0.2^{\circ} \mathrm{C} \)
B. \( 0.5^{\circ} \mathrm{C} \)
c. \( 200^{\circ} \mathrm{C} \)
D. \( 20^{\circ} \mathrm{C} \)
Subject: Physics
A particle of mass 'm' is projected with
a velocity 'u' at an angle ' \( \boldsymbol{\theta}^{\prime} \) with the
horizontal. Work done by gravity during its descent from its highest point to a point which is at half the maximum height is?
A. none of these
B. \( \frac{m u^{2} \sin ^{2} \theta}{4} \)
c. \( \frac{1}{2} m u^{2} \sin ^{2} \theta \)
D \( \cdot \frac{1}{2} m u^{2} \cos ^{2} \theta \)
Subject: Physics
How much heat is required to raise the
temperature of 150 g of iron from \( 20^{\circ} C \) to \( 25^{\circ} \mathrm{C} \) ? (Specific heat of iron
\( \left.480 J k g^{-1} o C^{-1}\right) \)
A . 350
B. 345 J
c. 360 J
D. 330 J
Subject: Physics
A popular game in Indian villages is goli which is played with small glass balls called golis. The goli of one player is situated at a distance of \( 2.0 \mathrm{m} \) from the
goli of the second player. This second player has to project his goli by keeping the thumb of the left hand at the place of his goli, holding the goli between his two middle fingers and making the throw. If the projected goli hits the goli of the first player, the second player wins. If the height from which the goli is projected is \( 19.6 \mathrm{cm} \) from the ground and the goli is to be projected horizontally, with what speed should it be projected so that it directly hits the stationary goli without falling on the ground earlier?
Subject: Physics
The Marina trench is located in the
Pacific Ocean, and at one place it is nearly eleven km beneath the surface of
water. The water pressure at the bottom
of the trench is about \( 1.1 \times 10^{8} \) Pa.
steel ball of initial volume \( 0.32 m^{3} \) is
dropped into the ocean and falls to the bottom of the trench. What is the
change in the volume of the ball when it reaches to the bottom?
Subject: Physics
Drift speed of electrons, when \( 1.5 A \) of
current flows in a copper wire of cross section \( 5 m m 2, \) is \( v . \) If the electron
density in copper is \( 9 \times 10^{28} / m^{3} \) the
value of \( v \) in \( m m / s \) is close to
(Take charge of electron to be \( =1.6 \times \)
\( \left.10^{-19} C\right) \)
A . 0.2
B. 3
\( c \cdot 2 \)
D. 0.02
Subject: Chemistry
Final major product of this reaction is:
A \( \cdot C H_{3} C_{H_{2}}^{14} C H_{3} \)
В \( \cdot C_{H_{3}}^{14} C H_{2} C H_{3} \)
\( \mathbf{c} \cdot c_{H_{3}} C_{H_{2}-C H O}^{14}-C H O \)
D. \( C_{H_{3}-C H_{2}-C H O}^{14}-C_{3}-C H O \)
Subject: Chemistry
For hydrogen-oxygen fuel cell, the cell reaction is:
\( \mathbf{2} \boldsymbol{H}_{\mathbf{2}}(\boldsymbol{g})+\boldsymbol{O}_{2}(\boldsymbol{g}) \longrightarrow \mathbf{2} \boldsymbol{H}_{2} \boldsymbol{O}(\boldsymbol{l}) \)
If \( \Delta G_{f}^{o}\left(H_{2} O\right)=-237.2 k J m o l^{-1}, \) then
emf of this cell is:
A . \( +2.46 V \)
в. \( -2.46 V \)
c. \( +1.23 V \)
D. \( -1.23 V \)
Subject: Chemistry
Shapes of certain interhalogen
compounds are stated below. Which one of them is not correctly stated?
A. \( B r F_{3} \) : Planar T-shaped
B. \( I C l_{3}: \) Planar dimeric
C. \( I F_{7} \) : Pentagonal bipyramid
D. \( B r F_{5} \) : Trigonal bipyramid
Subject: Biology
A diagram of T.S. of dicot root is given.
Select the option which correctly labels
\( A, B, C, D \) and \( E \)
A. A-Protoxylem, B-Metaxylem, C-Phloem, D-Pericycle, EEndodermis
B. A-Metaxylem, B-Protoxylem, C-Phloem, D-Percyicle, EEndodermis
C. A-Protoxylem, B-Metaxylem, C-Phloem, D-Endodermis E-Pericycle
D. A-Metaxylem, B-Protoxylem, C-Phloem, DEndodermis, E-Pericycle
Subject: Chemistry
At 1 atm pressure, for a reaction \( \Delta H=+30.558 \mathrm{kJ} \mathrm{mol}-1 \) and \( \Delta \mathrm{S}=0.066 \mathrm{kJ} \)
mol-1. The temperature at which free
energy is equal to zero and the nature of the reaction below this temperature is:
A. \( 483 \mathrm{K} \), spontaneous
B. 443 K, non-spontaneous
c. \( 443 \mathrm{K}, \) spontaneous
D. 463 K, non-spontaneous
Subject: Maths
Let \( \boldsymbol{f}(\boldsymbol{x})= \)
\( \lim _{n \rightarrow \infty} \frac{\left(x^{2}+2 x+3+\sin \pi x\right)^{n}-1}{\left(x^{2}+2 x+3+\sin \pi x\right)^{n}+1} . \) Then
A. \( f(x) \) is continuous and differentiable for all \( x \in R \)
B. \( f(x) \) is continuous but not differentiable for all \( x \in R \)
\( \mathrm{c} \cdot f(x) \) is discontinuous at infinite number of points
D. \( f(x) \) is discontinuous at finite number of points
Subject: Maths
\( \boldsymbol{f}: \boldsymbol{N} \rightarrow \boldsymbol{N}, \) then show that \( \boldsymbol{f}(\boldsymbol{n})= \)
\( 2 n+3 \forall n \in N \)
This question has multiple correct options
A. many one, into.
B. one-one, into
c. one-one, not onto
D. many-one, onto
Subject: Physics
\( s_{1} \) and \( s_{2} \) are the correct sources of
light. P is a point on the screen such
that \( s_{2} p-s_{1} p=0.01029 \mathrm{cm} \) wavelength
of the light used is \( 6000 A^{\circ} . \) The order
of the fringe form at \( P \) is.
Subject: Maths
\( \left|\begin{array}{lll}a^{2}+2 a & 2 a+1 & 1 \\ 2 a+1 & a+2 & 1 \\ 3 & 3 & 1\end{array}\right|= \)
\( A \cdot(1-a)^{3} \)
В - \( (a-1)^{2} \)
c. \( (a-1)^{3} \)
D・ \( (a+1)^{2} \)
Subject: Physics
Assertion
Force on a body \( A \) by body \( B \) is equal and opposite to the force on the body B by A.
Reason

Force in nature always occur between
pairs of bodies
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
If the vectors \( a \) and \( b \) are linearly independent satisfying \( (\sqrt{3} \tan \theta+ \)
1) \( \vec{a}+(\sqrt{3} \sec \theta-2) \vec{b}=0, \) then the
most general values of \( \theta \) are
A \( \cdot n \pi-\frac{\pi}{6}, n \in Z \)
B. \( 2 n \pi \pm \frac{11 \pi}{6}, n \in Z \)
c. \( n \pi \pm \frac{\pi}{6}, n \in Z \)
D. \( 2 n \pi+\frac{11 \pi}{6}, n \in Z \)
Subject: Physics
The escape velocity from the earth is 11
\( \mathrm{km} s^{-1} . \) The escape velocity from a planet having twice the mass and twice
the radius will be :
A . \( (11 \times \sqrt{12}) k m s^{-1} \)
B. \( 11 k m s^{-1} \)
c. \( \frac{11}{2} k m s^{-1} \)
D. \( (11 \times \sqrt{2}) k m s^{-1} \)
Subject: Maths
What is \( \angle D A E \) from the figure, if
\( B C=D E=5 \) and \( \angle B A C=45^{\circ} ? \)
A . \( 30^{\circ} \)
B . \( 45^{\circ} \)
\( c \cdot 50^{\circ} \)
D. \( 60^{\circ} \)
Subject: Chemistry
When \( C l_{2} \) water is added to an aqueous
solution of potassium halide in presence of chloro form a violet colour is
obtained on adding more of \( C l_{2} \) water; the violet colour disappears and a colourless solution is obtained. This
test confirms the presence of the following in aqueous solution:
A . lodide
B. Bromide
c. chloride
D. Bromide and chloride
Subject: Maths
Let \( A \) and \( B \) be two sets such that
\( \boldsymbol{n}(\boldsymbol{A})=\boldsymbol{3} \) and \( \boldsymbol{n}(\boldsymbol{B})=\mathbf{2} . \) If
\( (x, 1),(y, 2),(z, 1) \) are in \( A \times B \) find \( A \)
and \( B \) where \( x, y \) and \( z \) are distinct
elements
Subject: Physics
Resonance occurs in a series \( \boldsymbol{L} \boldsymbol{C} \boldsymbol{R} \)
circuit when the frequency of the
applied emf is \( 1000 H z \)

This question has multiple correct options
A. When frequency \( =900 \mathrm{Hz} \), then the current through
the voltage source will be ahead of emf of the source
B. The impedance of the circuit is minimum at \( f= \) \( 1000 \mathrm{Hz} \)
C. At only resonance the voltages across \( L \) and \( C \) differ in phase by \( 180^{\circ} \)
D. If the value of \( C \) is doubled, resonance occurs at \( f= \) \( 2000 \mathrm{Hz} \)
Subject: Physics
Given that \( \vec{A} \) and \( \vec{B} \) are greater than one, then the magnitude of \( (\vec{A} \times \vec{B}) \) can not be
A . equal to \( \overrightarrow{A B} \)
B. less than \( \vec{B} \)
c. more than \( |\vec{A}||\vec{B}| \)
D. equal to \( \vec{A} / \vec{B} \)
Subject: Chemistry
The molarity of \( H_{2} S O_{4} \) is \( 18 M . \) Its
density is \( 1.8 g m L^{-1} . \) Hence, molality is :
\( A \cdot 36 m \)
B. 200 \( \mathrm{m} \)
c. \( 500 \mathrm{m} \)
D. \( 18 \mathrm{m} \)
Subject: Physics
Two concentric spheres of radii R and 2R are charged. The inner sphere has a
charge of \( 1 \mu \mathrm{C} \) and the outer sphere has a charge of \( 2 \mu \mathrm{C} \) of the same sign: The potential is \( 9000 \mathrm{V} \) at a distance \( 3 \mathrm{R} \)
from the common centre. The value of \( \mathrm{R} \)
is :
\( A \cdot 1 m \)
B. 2 \( m \)
\( c \cdot 3 m \)
D. \( 4 \mathrm{m} \)
Subject: Chemistry
From \( 200 m g \) of \( C O_{2}, 10^{21} \) molecules
are removed the number of \( C O_{2} \)
molecules left are:
A \( \cdot 2.98 \times 10^{-3} \)
В. \( 1.66 \times 10^{-3} \)
c. \( 4.54 \times 10^{-2} \)
D. \( 1.66 \times 10^{-2} \)
Subject: Chemistry
Assertion
EDTA is a hexadentate ligand.
Reason
Denticity of a ligand is given by number
of lone pairs donated to central atom by
a ligand.
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
A radioactive element \( X \) has an atomic
number of \( 100 . \) It decays directly into an element \( Y \) which decays directly into an element \( Z . \) In both processes a charged particle is emitted. Which of the following statement would be true?
A. \( Y \) has an atomic number of 102
B. \( Z \) has an atomic number of 10
c. \( Z \) has an atomic number of 97
D. \( Z \) has an atomic number of 99
Subject: Physics
Two wheels are constructed, as shown in Figure, with four spokes. The wheels are mounted one behind the
other so that an observer normally sees a total of eight spokes but only four spokes are seen when they happen to align with one another. If one wheel spins at 6 rev/min, while other spins at
8 rev/min in same sense, how often
does the observer see only four spokes?
A. 4 times a minute
B. 6 times a minute
c. 8 times a minute
D. Once in a minute
Subject: Maths
If \( y=\frac{1}{2}\left(\sin ^{-1} x\right)^{2}, \) then find \( (1- \)
\( \left.\boldsymbol{x}^{2}\right) \boldsymbol{y}_{2}-\boldsymbol{x} \boldsymbol{y}_{1} \)
Where \( y_{1} \) and \( y_{2} \) denote first and second
derivatives of \( y \) respectively.
A . -1
B. 0
c. 1
D. 2
Subject: Physics
The attached figure shows a planet
revolving a star. It was recorded that the
planet takes 50 days to travel from \( T \) to
U. Which other two observations could
be 50 days apart?
A. \( \mathrm{V} \) and \( \mathrm{W} \)
B. Wand Y
c. \( x \) and \( Y \)
D. \( x \) and \( z \)
E. \( Y \) and
Subject: Maths
Find the number of integer solutions of
\( \boldsymbol{x}_{1}+\boldsymbol{x}_{2}+\boldsymbol{x}_{3}+\boldsymbol{x}_{4}=\mathbf{2 0} \) where \( \boldsymbol{x}_{1} \geq \)
\( -5, x_{2} \geq 3, x_{3} \geq 0, x_{4} \geq 1 \)
Subject: Maths
\( \operatorname{et} \Delta_{1}=\left|\begin{array}{ccc}x & y & x+y \\ y & x+y & x \\ x+y & x & y\end{array}\right| \)
\( \boldsymbol{\Delta}_{2}=\left|\begin{array}{ccc}\mathbf{1} & \boldsymbol{x} & \boldsymbol{y} \\ \mathbf{1} & \boldsymbol{x}+\boldsymbol{y} & \boldsymbol{y} \\ \mathbf{1} & \boldsymbol{x} & \boldsymbol{x}+\boldsymbol{y}\end{array}\right| \)
\( \boldsymbol{\Delta}_{3}=\left|\begin{array}{ccc}\boldsymbol{x} & \boldsymbol{x}+\boldsymbol{y} & \boldsymbol{x}+\boldsymbol{2} \boldsymbol{y} \\ -\boldsymbol{x} & \boldsymbol{x} & \boldsymbol{0} \\ \boldsymbol{0} & -\boldsymbol{x} & \boldsymbol{x}\end{array}\right| \)
\( \boldsymbol{\Delta}_{4}=\left|\begin{array}{lll}1 & \boldsymbol{x} & \boldsymbol{x}^{2} \\ \mathbf{1} & \boldsymbol{y} & \boldsymbol{y}^{2} \\ \mathbf{1} & \mathbf{1} & \mathbf{1}\end{array}\right| \)
then
Subject: Maths
The value of \( f(0) \) so that the function
\( f(x) \frac{\log \left(1+\frac{x}{a}\right)-\log \left(1-\frac{x}{b}\right)}{x},(x \neq 0) \)
is continuous at \( x=0 \) is
A \( \cdot \frac{a+b}{a b b b b b} \)
B . \( \frac{a-b}{a b b b b} \)
c. \( \frac{a b}{a+b b} \)
D. \( \frac{a b}{a-b} \)
Subject: Physics
The diagram alongside shows the refraction of a ray of light from air to a liquid. The refractive index of liquid
with respect to air is :
\( 4 \sqrt{\frac{1}{2}} \)
B. \( \sqrt{\frac{2}{3}} \)
\( c \cdot \sqrt{\frac{3}{2}} \)
D. \( \sqrt{3} \)
Subject: Chemistry
Reactions with Appearance dilute \( \boldsymbol{H C l} \)
Dull grey Dissolved Unknown solid with \( \quad \) with metal white oxide \( \quad \) bubbles of coating \( \quad \) clear gas
Solid
Unknow lustrous, No smooth \( \quad \) reaction metal 2 \( \quad \) silver-grey rface
Identify the gas(transparent) produced with the addition of dilute \( H C l \) to
unknown metal 1.
\( \mathbf{A} \cdot C l_{2} \)
\( \mathbf{B} \cdot H_{2} \)
\( c \cdot O_{2} \)
D. \( C O_{2} \)
E \( . N O_{2} \)
Subject: Physics
What is the formula for spherical mirrors for object distance p and image distance q?
A \( \cdot \frac{1}{p}+q=\frac{1}{f} \)
в. \( \frac{1}{p}+\frac{1}{q}=\frac{1}{f} \)
c. \( \frac{1}{p}+\frac{1}{q}=f \)
D. \( p+\frac{1}{q}=\frac{1}{f} \)
Subject: Physics
The equiconvex lens has focal length \( \boldsymbol{f} \)
If it is cut perpendicular to the principal axis passing through optical centre, then focal length of each half is
A \( \cdot \frac{f}{2} \)
B. \( f \)
\( c \cdot \frac{3 f}{2} \)
D. \( 2 f \)