AkshitPareek2004/jee-question-analyzer-data huggingface dataset:
Subject: Maths
Find constant of variation and write
equation of variation for given below.
\( \mathbf{A} \quad \boldsymbol{p} \boldsymbol{a} \frac{\mathbf{1}}{\boldsymbol{q}}: \boldsymbol{i} \boldsymbol{f} \boldsymbol{p}=\mathbf{1 5} t h e \boldsymbol{n} \boldsymbol{q}=\boldsymbol{4} \)
\( \mathbf{B} \quad \boldsymbol{z} \boldsymbol{a} \frac{\mathbf{1}}{\boldsymbol{w}} ; \boldsymbol{w} \boldsymbol{h} \boldsymbol{e} \boldsymbol{n} \boldsymbol{z}=\mathbf{2} \)
\( c \quad s a \frac{1}{r^{2}} ; i f s=4 t h e n t=5 \)
D \( x \) a feacl \( \sqrt{y} ; \) if \( x=15 \)
Subject: Chemistry
Complex which is formed during the estimation of hardness of water is:
\( \mathbf{A} \cdot\left[C a\left(S O_{4}\right)_{2}\right]^{2} \)
B \( \cdot\left[C a\left(H C O_{3}\right)_{6}\right]^{4-} \)
\( \mathbf{c} \cdot[C a(E D T A)]^{2} \)
D. \( N a_{2}\left[C a_{2}\left(P O_{3}\right)_{6}\right. \)
Subject: Physics
What is the magnitude of the gravitational force between the Earth
and \( 1 k g \) object on its surface?
(Mass of the Earth is \( 6 \times 10^{24} k g \) and
radius of the Earth is \( 6.4 \times 10^{6} m \)
A. 9.770
B. 10 N
\( c \cdot 9 N \)
D. 9.5 N
Subject: Maths
Simplify:
(i) \( \left(a^{2}-b^{2}\right)^{2} \)
(ii) \( (2 x+5)^{2}-(2 x-5)^{2} \)
(iii) \( (7 m-8 n)^{2}+(7 m+8 n)^{2} \)
\( (i v)(4 m+5 n)^{2}+(4 n+5 m)^{2} \)
\( (v)(2.5 p-1.5 q)^{2}-(1.5 p-2.5 q)^{2} \)
\( (v i)(a b+b c)^{2}-2 a b^{2} c \)
\( (v i i)\left(m^{2}-n^{2} m\right)^{2}+2 m^{3} n^{2} \)
Subject: Physics
Assertion
When a current flows in the coil of a
transformer then its core becomes hot.
Reason

The core of transformer is made of soft-
iron.
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 \( \frac{\pi}{2}<\theta<\frac{3 \pi}{2}, \) then the value of \( \sqrt{\frac{1-\sin \theta}{1+\sin \theta}} \) is equal to
\( \mathbf{A} \cdot-\sec \theta+\tan \theta \)
B. \( \sec \theta+\tan \theta \)
\( \mathbf{c} \cdot \sec \theta-\tan \theta \)
D. None of these
Subject: Chemistry
The colour of \( C r_{2} O_{7}^{2-} \) changes from orange to blue-green when added to compound (A). The blue-green colour is due to the formation of :
A \( \cdot C r^{2} \)
в. \( C r^{3} \)
\( \mathrm{c} \cdot \mathrm{Cr} \mathrm{O}_{4}^{2} \)
D. \( C r O_{5} \)
Subject: Chemistry
A two litre vessel contains 0.48 mole of
\( C O_{2}, 0.48 \) mole of \( H_{2}, 0.96 \) mole of \( C O \) at equilibrium
\[
\boldsymbol{C O}_{2}(\boldsymbol{g})+\boldsymbol{H}_{2}(\boldsymbol{g}) \rightleftharpoons \boldsymbol{H}_{2} \boldsymbol{O}(\boldsymbol{g})+
\]
\( \boldsymbol{C O}(\boldsymbol{g}) \)
How many \( g m \) (only integer part) of \( \boldsymbol{H}_{2} \) must be added to bring the concentration of \( C O \) to \( 0.6 M ? \)
Subject: Chemistry
Assertion
Statement -1: The melting point of
noble gases increases as its atomic mass increases.
Reason
Statement -2: Instantancous dipole induced dipole attraction increases with increase in atomic mass.
A. Statement -1 is true, Statement -2 is true and Statement -2 is correct explanation for Statement -
1
B. Statement
-1 is true, Statement -2 is true and Statement - 2 is NOT the correct explanation for Statement - 1.
c. Statement -1 is true, Statement -2 is false
D. Statement -1 is false, Statement -2 is true.
Subject: Maths
Verify Rolle's theorem for \( \boldsymbol{f}(\boldsymbol{x})=\boldsymbol{x}(\boldsymbol{x}+ \)
\( \mathbf{3}) e^{-\boldsymbol{x} / 2} \) in \( (-\mathbf{3}, \mathbf{0}) \)
A. Yes Rolle's theorem is applicable and the stationary point is \( x=-2 \)
B. Yes Rolle's theorem is applicable and the stationary point is \( x=-1 \)
C. No Rolle's theorem is not applicable in the given interval
D. Both A and B
Subject: Maths
If \( \boldsymbol{A}=(\mathbf{0}, \mathbf{0}, \mathbf{2}), \boldsymbol{B}=(\sqrt{\mathbf{2}}, \sqrt{\mathbf{2}}, \mathbf{2}), \boldsymbol{C}= \)
\( (\sqrt{2}, \sqrt{2}, 0) \) and \( D= \)
\( \left(\frac{8 \sqrt{2}-20}{17}, \frac{12 \sqrt{2}+4}{17}, \frac{20-8 \sqrt{2}}{17}\right) \)
then \( A B C D \) is a
A. rhombus
B. square
c. parallelogram
D. none of these
Subject: Physics
A body A of mass M falling vertically downwards under gravity breaks into two part; a body \( B \) of mass \( \frac{M}{3} \) and \( a \) body \( C \) of mass \( \frac{2}{3} \) M. The COM of bodies B and \( C \) taken together shifts compared to that of body A towards:
A. depends on height of breaking
B. does not shift.
\( c . \) body c.
D. body B
Subject: Maths
Find the middle term(s) in the
expansion of :
\( \left(2 a x-\frac{b}{x^{2}}\right)^{12} \)
A \( \cdot \frac{59136 a^{6} b^{6}}{x^{6}} \)
В. \( \frac{59163 a^{5} b^{5}}{x^{5}} \)
c. \( \frac{59631 a^{7} b^{7}}{x^{7}} \)
D. None of these
Subject: Physics
The mass defect for helium nucleus is
0.0304 a.m.u. The binding energy per
nucleon of helium nucleus is
\( \mathbf{A} \cdot 28.3 \mathrm{MeV} \)
в. \( 7.075 \mathrm{MeV} \)
\( \mathbf{c} .9 .31 \mathrm{MeV} \)
D. \( 200 \mathrm{MeV} \)
Subject: Maths
Solve the following simultaneous equations:
\( \frac{27}{x-2}+\frac{31}{y+3}=85 ; \quad \frac{31}{x-2}+ \)
\( \frac{27}{y+3}=89 \)
A \( \cdot x=\frac{3}{4}, y=4 \)
B. \( x=\frac{5}{2}, y=-2 \)
c. \( _{x}=\frac{4}{3}, y=3 \)
D. \( x=\frac{7}{2}, y=6 \)
Subject: Chemistry
Which of the following mixture is given the name aquaregia?
A. \( H_{3} P O_{3}, H_{2} S O_{4} \)
в. \( 3 H C l, H N O_{3} \)
\( \mathrm{c} \cdot 3 \mathrm{HNO}_{3}, \mathrm{HCl} \)
D. \( H C l, C H_{3} C O O H \)
Subject: Physics
Find the angular momentum \( \vec{M} \) of the
system of particles relative to a point \( \boldsymbol{O} \) of the reference frame \( \boldsymbol{K}, \) if \( \tilde{\boldsymbol{m}} \) is its proper angular momentum (in the reference frame moving translationally
and fixed to the centre of inertia), \( r_{c} \) is
the radius vector of the centre of inertia
relative to the point \( \boldsymbol{O}, \overrightarrow{\boldsymbol{p}} \) is the total momentum of the system of particles in the reference frame \( \boldsymbol{K} \)
Subject: Maths
Inverse circular functions,Principal values of \( \sin ^{-1} x, \cos ^{-1} x, \tan ^{-1} x \)
\[
\begin{array}{c}
\tan ^{-1} x+\tan ^{-1} y=\tan ^{-1} \frac{x+y}{1-x y} \\
x y<1 \\
\pi+\tan ^{-1} \frac{x+y}{1-x y}, \quad x y>1
\end{array}
\]
(a) \( \tan ^{-1} \frac{1}{4}+2 \tan ^{-1} \frac{1}{5}+\tan ^{-1} \frac{1}{6}+ \)
\[
\tan ^{-1} \frac{1}{x}=\frac{\pi}{4}
\]
(b) \( \tan ^{-1}(x-1)+\tan ^{-1} x+ \)
\[
\tan ^{-1}(x+1)=\tan ^{-1} 3 x
\]
Subject: Physics
The Van der Wall equation for 1 mole of a real gas is \( \left(\boldsymbol{P}+\frac{\boldsymbol{a}}{\boldsymbol{V}^{2}}\right)(\boldsymbol{V}-\boldsymbol{b})=\boldsymbol{R} \boldsymbol{T} \)
where \( P \) is the pressure, \( V \) is the
volume, \( \boldsymbol{T} \) is the absolute temperature \( R \) is the molar gas constant and \( a, b \) are Van der Wall constants. The dimensions
of \( a \) are the same as those of :
A . \( P V \)
в. \( P V^{2} \)
c. \( P^{2} V \)
D. \( P / V \)
Subject: Chemistry
3 Moles of \( \boldsymbol{P} \boldsymbol{C l}_{5} \) kept in 1 L closed vesse
was allowed to attain equilibrium at \( 380 \mathrm{K} \). Calculate the composition of the
mixture at equilibrium, \( \boldsymbol{K}_{c} \)
A \( \cdot\left[P C l_{5}\right]=1.41 M,\left[P C l_{3}\right]=\left[C l_{2}\right]=2.59 M \)
в. \( \left[P C l_{5}\right]=1.41 M,,\left[P C l_{3}\right]=\left[C l_{2}\right]=1.59 M \)
\( \mathbf{c} \cdot\left[P C l_{5}\right]=1.41 M,,\left[P C l_{3}\right]=\left[C l_{2}\right]=5.59 M \)
D \( \cdot\left[P C l_{5}\right]=1.41 M,,\left[P C l_{3}\right]=\left[C l_{2}\right]=9.59 M \)
Subject: Chemistry
The ammonia evolved from the
treatment of \( 0.30 g \) of an organic compound for the estimation of nitrogen was passed in \( 100 m L \) of 0.1 \( M \) sulphuric acid. The excess of acid required \( 20 m L \) of \( 0.5 M \) sodium hydroxide solution for complete neutralization. The organic compound is:
A. acetamide
B. benzamide
c. urea
D. thiourea
Subject: Biology
Assertion
Inspiration occurs when there is a negative pressure in the lungs with respect to the atmospheric pressure.
Reason
During inspiration, a decrease in pulmonary volume increases the intrapulmonary pressure than atmospheric pressure which forces the air from
outside to move into the lungs.
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
Calculate the change in potential
energy of a particle of charge \( +\boldsymbol{q} \) that is
brought from a distance of \( 3 r \) to a
distance of \( 2 r \) in the electric field
of charge \( -q ? \)
\( \mathbf{A} \cdot k q^{2} / r \)
B \( .-k q^{2} / 6 r \)
c. \( k q^{2} / 4 r^{2} \)
D. \( -k q^{2} / 4 r^{2} \)
E . \( k q^{2} / r^{2} \)
Subject: Chemistry
Take some clean iron nails and place them in the three test tubes prepared as
under:

Test tube A: Contains boiled water and a
thin layer of oil

Test tube B: Contains a small cloth bag
containing soda lime Test tune C: Contains ordinary water. Some nails are kept under water and
some more are suspended above the
water surface
All the test tubes are tightly closed after
placing the nails. After some time what
will you observe?
This question has multiple correct options
A. Nail A rusts
B. Nail B rusts
C. Nail C rusts
D. Nail A does not rust
Subject: Chemistry
Select that pair(s) in which bond angle of first molecule is less than second
one.
This question has multiple correct options
A \( \cdot B r O_{3}^{-}, C l O_{3} \)
B. \( A s I_{3}, S b I_{3} \)
\( \mathrm{c} \cdot \operatorname{SbBr}_{3}, \mathrm{SbI}_{3} \)
D. \( N F_{3}, N H_{3} \)
Subject: Biology
Succession in a 6 metre deep pond
exhibits a sequence of
A. Submerged Plants - Reeds - Herbs - Floating Plants Shrubs - Trees
B. Floating Plants - Submerged Plants - Reeds - Herbs Shrub - Trees
C. Shrubs - Trees - Submerged Plants - Floating Plants Reeds - Herbs
D. Submerged Plants - Floating Plants - Reeds - Herbs Shrubs - Trees
Subject: Chemistry
For the reaction \( A \rightarrow B \) it has been found
that the order of the reaction is zero with respect to A. Which of the following
expressions correctly describes the reaction?
A \( \cdot K=\frac{2.303}{t} \log \frac{\left[A_{0}\right]}{[A]} \)
B \( \cdot\left[A_{0}\right]-[A]=K t \)
\( \mathbf{c} \cdot_{t_{1 / 2}}=\frac{0.693}{K} \)
D. \( t_{1 / 2} \propto \frac{1}{\left[A_{0}\right]} \)
Subject: Physics
Consider the following statement. When jumping from some height, you should bend your knees as you come to rest instead of keeping your legs stiff. Which of the following relations can be useful
in explaining the statement? where symbols have their usual meaning.
A \( \cdot \Delta P_{1}=-\Delta P_{2} \)
B. \( \Delta E=-\Delta P E+K E=0 \)
c. \( F \Delta t=-m \Delta F \)
D. \( \Delta x \propto \Delta F \)
Subject: Physics
Assertion
A charge \( q \) is placed on a height \( h / 4 \)
above the centre of a square of side \( b \)
The flux associated with the square is independent of side length.
Reason
Gauss's law is independent of size of the Gaussian surface.
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 partition divides a container having insulated walls into two components
and II The same gas filled in both components whose initial parameters
are given The partition is conducting wall which can freely move without
friction Choose the correct statements
(is/are) with respect to the final
equilibrium position:

This question has multiple correct options
A. The pressure in two compartments are equal
B. Volume of compartment I is \( 3 v / 5 \)
c. Volume of compartment II is \( 12 \% / 5 \)
D. Final pressure in compartment lis 5P/3
Subject: Chemistry
Assertion
Iron is protected from corrosion by connecting magnesium metal with it.
Reason

Iron acts as cathode and magnesium as anode which gradually disappears.
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
Find the square root of:
\( \mathbf{3 1}+\mathbf{4} \sqrt{\mathbf{2 1}} \)
A. \( \sqrt{24}+\sqrt{3} \)
В. \( \sqrt{28}+\sqrt{3} \)
c. \( \sqrt{36}+\sqrt{3} \)
D. \( \sqrt{28}+\sqrt{2} \)
Subject: Maths
If vector \( \overrightarrow{A B}=3 \hat{i}-3 \hat{k}, \overrightarrow{A C}=\hat{i}- \)
\( 2 \hat{j}+\hat{k} \) represents the sides of any triangle \( A B C \) then the length of median AM is-
A \( \cdot \sqrt{6} \)
B. \( \sqrt{3} \)
\( c \cdot 2 \sqrt{3} \)
D. \( 3 \sqrt{2} \)
Subject: Chemistry
Which of the following solutions at the
same temperature will be isotonic?
A. \( 3.42 \mathrm{g} \) of cane sugar in one litre water and \( 0.18 \mathrm{g} \) of glucose in one litre water
B. 3.42 of cane sugar in one litre water and 0.18 g of glucose in 0.1 litre water
c. \( 3.42 \mathrm{g} \) of cane sugar in one litre water and \( 0.585 \mathrm{g} \) of NaCl in one litre water
D. 3.42 g of cane sugar in one litre water and 1.17 g of NaCl in one litre water
Subject: Maths
The equation of motion of a body falling under gravity is given by \( \frac{d v}{d t}=g- \) \( \frac{\boldsymbol{g}}{\boldsymbol{\lambda}^{2}} \boldsymbol{v}^{2} . \) Distance travelled as a function
of time is given by?. Give at \( \boldsymbol{v}=\mathbf{0}, \boldsymbol{t}=\mathbf{0} \)
A \( \cdot x=\frac{\lambda^{2}}{g} \log \sinh \left(\frac{g t}{\lambda}\right) \)
B. \( x=\frac{\lambda}{g} \log \cos h\left(\frac{g t}{\lambda^{2}}\right) \)
\( ^{\mathbf{C}} x=\frac{\lambda^{2}}{g} \log \sec h\left(\frac{g t}{\lambda}\right) \)
D \( x=\frac{\lambda^{2}}{g} \log \cos h\left(\frac{g t}{\lambda}\right) \)
Subject: Chemistry
White crystalline solid (A) reacts with
\( H_{2} \) to form a highly associated liquid
(B) and a monoatomic colorless gas (C). The liquid (B) is used for etching glass. Compound (A) undergoes hydrolysis slowly to form (C), (B) and a diatomic \( \operatorname{gas}(D) \) whose IE is almost similar to that of (C). (B) forms an addition
compound with KF to form (E) which is electrolyzed in the molten state to form a most reactive gas (F) which combines
with
(C) in a 1: 1 ratio to produce \( (A) \)
The molecule of compound E contains which of the following types of bonds?
A. lonic
B. lonic and Covalent both
c. lonic, covalent and Metallic
D. Ionic, Covalent and H-bonds
Subject: Chemistry
How do you calculate the \( p H \) of a
buffered solution?
A. By determining \( K a \), then using \( K a \) to determine the
\( \mathrm{pH} \)
B. By using the equation \( K a=\left[H 3 O^{+}\right]\left[X^{-}\right] /[H X] \)
C. By determining the \( O H^{-} \) concentration.
D. By using the equation \( K a=\left[H 3 O^{+}\right]\left[X^{-}\right] \)
E . By using the equation \( K a=\left[H X^{+}\right]\left[X^{-}\right] /\left[H 3 O^{+}\right] \)
Subject: Chemistry
Calculate the amount of \( C a C l_{2} \) (molar
mass \( =111 g \) mol \( ^{-1} \) ) which must be
added to \( 500 g \) of water to lower its
freezing point by \( 2 K, \) assuming \( C a C l_{2} \)
is completely dissociated. \( \left(K_{f} \) for \right. water \( =1.86 K k g m o l^{-1} \) )
Subject: Physics
A spherical hole of radius \( \boldsymbol{R} / \mathbf{2} \) is
excavated from the asteroid of mass \( M \)
as shown in the figure. The gravitational acceleration at a point on the surface of the asteroid just above the excavation
is
A \( \cdot \frac{G M}{R^{2}} \)
в. \( \frac{G M}{2 R^{2}} \)
c. \( \frac{G M}{8 R^{2}} \)
D. \( \frac{7 G M}{8 R^{2}} \)
Subject: Maths
If \( \frac{\left(a^{2}+1\right)^{2}}{2 a-i}=x+i y, \) then \( x^{2}+y^{2} \) is equal to
\( ^{\mathrm{A}} \cdot \frac{\left(a^{2}+1\right)^{4}}{4 a^{2}+1} \)
B. \( \frac{(a+1)^{2}}{4 a^{2}+1} \)
c. \( \frac{\left(a^{2}-1^{2}\right)}{\left(4 a^{2}-1\right)^{2}} \)
D. None of these
Subject: Chemistry
Give the decreasing order of nucleophilic addition reaction of the
following:
(i) \( \boldsymbol{H} \boldsymbol{C} \boldsymbol{H} \boldsymbol{O} \)
PhCHO
(iii) Chloral \( \left(\mathbf{C l}_{3} \mathbf{C}-\mathbf{C H}=\mathbf{O}\right) \)
Acetophenone
A \( .(i i i)>(i)>(i i)>(i v) \)
B. \( (i v)>(i i)>(i)>(i i i) \)
C. \( (i)>(i i i)>(i i)>(i v) \)
D. \( (i i i)>(i)>(i v)>(i i) \)
Subject: Chemistry
Identify the incorrect order in terms of
atomic radii.
\( \mathbf{A} \cdot N^{3-}>P^{3} \)
B. \( O^{2-}>F^{-} \)
\( \mathrm{c} \cdot \mathrm{Ca}^{2+}>\mathrm{Sr}^{2} \)
D \( \cdot S^{-}>S^{2-} \)
E \( . S^{2-}>O^{-} \)
Subject: Maths
ff \( P=\left[\begin{array}{lll}1 & \alpha & 3 \\ 1 & 3 & 3 \\ 2 & 4 & 4\end{array}\right] \) is the adjoint of
\( \mathbf{3} \times \mathbf{3} \) matrix \( \boldsymbol{A} \) and \( |\boldsymbol{A}|=\mathbf{4} \) then \( \boldsymbol{\alpha} \) is
\( A \cdot 4 \)
B. 1
\( c \cdot 5 \)
\( D \)
Subject: Chemistry
Which of the following is correct order of
acidic strength for the given
compounds:
A \( . I>I I>I I I>I V \)
\( V \)
В. \( I I>I>I I I>I V \)
c. \( I I>I I I>I>I V \)
\( . I>I I I>I I>I V \)
\( V \)
Subject: Physics
The angular momentum of a particle relative to a certain point \( O \) varies with time as \( \vec{M}=a+\vec{b} t^{2}, \) where \( \vec{a} \) and \( \vec{b} \) are
constant vectors, with \( \vec{a} \perp \vec{b} \). If the force moment \( \vec{N} \) relative to the point \( O \)
acting on the particle when the angle between the vectors \( \vec{N} \) and \( \vec{M} \) equals \( 45^{\circ} \) is given as \( \vec{N}=x \sqrt{\frac{a}{b}} \vec{b} . \) Find \( x \)
Subject: Physics
A square wire loop of \( 10.0 \mathrm{cm} \) side lies
at right angles to a uniform magnetic field of 7 T. A 10 V light bulb is in series with the loop as shown in figure. The magnetic field is decreasing steadily to zero over a time interval \( \Delta t . \) For what
value if \( \Delta t(\text { in } m s), \) the bulb will shine
with full brightness?
Subject: Physics
n Fig. circuit section, \( A B \) absorbs energy at a rate of \( 50 \% \) W when a current \( i=1.0 \) A passes through it in the indicated direction. If device X does not
have internal resistance, what is its
emf?
A. 24 v
в. 48 v
\( c \cdot 32 v \)
D. 12 V
Subject: Physics
The dry cell of E.M.F \( 12 V \), is connected
in series to a \( 3 \Omega \) and a \( 6 \Omega \) resistor
Calculate the total power supplied by
the dry cell.
\( \mathbf{A} .9 W \)
B. \( 72 \mathrm{W} \)
c. \( 16 W \)
D. \( 2 W \)
Subject: Physics
n the circuit shown, the value of
currents \( I_{1}, I_{2} \) and \( I_{3} \) are.
' \( \quad 3 A, \frac{-3}{2} A, \frac{9}{2} A \)
3. \( \frac{9}{2} A, 3 A, \frac{-3}{2} A \)
c. \( 5 A, 4 A,-3 A \)
\( 7 A, \frac{5}{4} A, \frac{9}{2} A \)
Subject: Physics
Q Type your question
spherical shell that has radius \( R_{2} \) and
charge \( Q \)
Which of the following changes will
increase the capacitance of the
system?
: Increase the magnitude of the charge,
\( Q \)
II: Increase \( \boldsymbol{R}_{2} \) while leaving \( \boldsymbol{R}_{1} \) fixed.
III: Increase \( \boldsymbol{R}_{1} \) while leaving \( \boldsymbol{R}_{2} \) fixed.
IV: Increase both R1 and R2 while leaving
the difference in radii, \( \boldsymbol{R}_{2}-\boldsymbol{R}_{1}, \) fixed
A. I only
B. Il only
c. III only
D. III and IV only
Subject: Physics
The balancing length for a cell is 560 \( \mathrm{cm} \) in a potentiometer experiment. When an external resistance of \( 10 \Omega \) is
connected in parallel to the cell, the balancing length changes by 60cm. The internal resistance of the cell in ohms is
A . 1.6
B. 1.4
c. 1.2
D. 0.12
Subject: Chemistry
Assertion
If the hydrogen atoms of benzene are replaced by deuterium atoms then the reactivity of benzene ring is decreased
for ESR.
Reason
The bond strength of \( C \) -D is more than \( C \) -
H, so reaction depends on the bond strength of \( C-D \) and \( C-H \)
A. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
B. Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion
C. Assertion is correct but Reason is incorrect
D. Both Assertion and Reason are incorrect
Subject: Chemistry
The specific conductance of a saturated
solution of \( \mathrm{AgCl} \) at \( 25^{\circ} \mathrm{C} \) after subtracting the specific conductance of water is \( 2.28 \times 10^{-4} \mathrm{Sm}^{-1} \). Calculate the
solubility of AgCl in gram per \( d m^{3} \) at this temperature. The molar ionic
conductances of \( A g^{+} \) and \( C l^{-} \) ions are \( 73.3 \times 10^{-4} \) and \( 65.0 \times 10^{-4} S m^{2} m o l^{-1} \)
\( (A g: 108 \text { and } C l: 35.5) \)
Subject: Maths
Given the matrices
\[
\begin{array}{l}
\boldsymbol{A}=\left[\begin{array}{lll}
2 & 1 & 1 \\
3 & -1 & 0 \\
0 & 2 & 4
\end{array}\right], B=\left[\begin{array}{lll}
9 & 7 & -1 \\
3 & 5 & 4 \\
2 & 1 & 6
\end{array}\right] \\
\text { and } \boldsymbol{C}=\left[\begin{array}{lll}
2 & -4 & 3 \\
1 & -1 & 0 \\
9 & 4 & 5
\end{array}\right]
\end{array}
\]
Verify that \( (\boldsymbol{A}+\boldsymbol{B})+\boldsymbol{C}=\boldsymbol{A}+(\boldsymbol{B}+ \)
\( C) \)
Subject: Chemistry
For the equilibrium reaction
\( \boldsymbol{C a} \boldsymbol{C O}_{3}(\boldsymbol{s}) \rightleftharpoons \boldsymbol{C a O}(\boldsymbol{s})+\boldsymbol{C O}_{2}(\boldsymbol{g}) . \) The
addition of more \( C a C O_{3}(s) \) causes?
A. The decrease in the concentration of \( C O_{2}(g) \)
B. The increase in the concentration of \( C O_{2}(g) \)
C. No change in the concentration of \( C O_{2}(g) \)
D. Increase in the concentration of \( C a O(s) \)
Subject: Maths
\( \left|\begin{array}{ccc}\text { If } & \\ \cos (\boldsymbol{A}+\boldsymbol{B}) & -\sin (\boldsymbol{A}+\boldsymbol{B}) & \cos 2 \boldsymbol{B} \\ \sin \boldsymbol{\operatorname { s o s }} \boldsymbol{\operatorname { s i n }} \boldsymbol{A} & \boldsymbol{\operatorname { s i n } \boldsymbol { \operatorname { m o s } }}\end{array}\right| \)
\( =0 \) then \( B= \)
\( A \cdot(2 n+1) \frac{\pi}{2} \)
B. \( n \pi \)
\( c \cdot(2 n+1) \pi \)
D. 2 nn
Subject: Chemistry
An aromatic compound \( (\boldsymbol{X})\left(\boldsymbol{C}_{\mathbf{8}} \boldsymbol{H}_{\mathbf{8}} \boldsymbol{O}\right) \)
gives positive 2,4 -DNP test. It gives a yellow precipitate of compound \( (Y) \) on
reaction with iodine and sodium
hydroxide solution. \( (X) \) does not give
Tollen's test on oxidation under drastic
conditions. It gives a carboxylic acid
\( (Z)\left(C_{7} H_{6} O_{2}\right) \cdot(Z) \) is also formed with
\( (Y) \) during the reaction. \( (X),(Y) \) and
\( (Z) \) respectively are:
\( \mathbf{A} \cdot C_{6} H_{5} C O C H_{3}, C H I_{3}, C_{6} H_{5} C O O H \)
в. \( C H_{3} C O C H_{3}, C H I_{3}, C H_{3} C O O H \)
\( \mathbf{c} \cdot C_{6} H_{5} C O C H_{3}, C H I_{3}, C H_{3} C O O H \)
D. \( C H_{3} C H O, C H I_{3}, C_{6} H_{5} C O O H \)
Subject: Physics
When radiation emitted by a
radioactive substance is subjected to a magnetic field, alpha-particles describe a circle in the clockwise direction
A. beta and gamma particles will also be deflected in the same direction
B. gamma rays will be deflected to describe a circle in the counter clockwise direction but beta particles will not be deflected
C . gamma rays will not be deflected and beta rays will move in a circular path in the counter clockwise sense
D. beta and gamma rays will describe a circle in the counter clockwise sense
Subject: Chemistry
Write balanced equations for:
(i) \( \boldsymbol{B} \boldsymbol{F}_{3}+\boldsymbol{L} \boldsymbol{i} \boldsymbol{H} \rightarrow \)
(ii) \( B_{2} H_{6}+H_{2} O \rightarrow \)
(iii) \( N a H+B_{2} H_{6} \rightarrow \)
(iv) \( H_{3} B O_{3} \stackrel{\leftrightarrow}{\rightarrow} \)
(v) \( A l+N a O H \rightarrow \)
(vi) \( B_{2} H_{6}+N H_{3} \rightarrow \)