AkshitPareek2004/jee-question-analyzer-data huggingface dataset:
Subject: Chemistry
For which of the following reactions the equilibrium mixture will contain an appreciable concentration of both reactants and products.
(a) \( C l_{2}(g) \rightleftharpoons 2 C l(g) ; K_{c}=6.4 \times 10^{39} \)
(b) \( C l_{2}(g)+2 N O(g) \rightleftharpoons \)
\( \mathbf{2} \boldsymbol{N} \boldsymbol{O} \boldsymbol{C l}(\boldsymbol{g}) ; \boldsymbol{K}_{c}=\mathbf{3 . 7} \times \mathbf{1 0}^{8} \)
(c) \( C l_{2}(g)+2 N O_{2}(g) \rightleftharpoons \)
\( \mathbf{2} N \boldsymbol{O}_{2} \boldsymbol{C l}(\boldsymbol{g}) ; \boldsymbol{K}_{c}=\mathbf{1 . 8} \)
\( A \)
B.
\( c \)
D. None of these
Subject: Maths
In the figure, 'O' is the centre of the
circle. \( O M=3 \mathrm{cm} \) and \( \mathrm{AB}=8 \mathrm{cm} \). Find
the radius of the circle.
A \( .5 \mathrm{cm} \)
B. 4 cm
c. \( 15 \mathrm{cm} \)
D. \( 8 c m \)
Subject: Physics
A charged particle accelerated through a potential difference of \( 100 V \) passes through uniform electric and magnetic fields so as to experience no deflection. \( \boldsymbol{E}=\mathbf{1 5} \times \mathbf{1 0}^{6} \boldsymbol{V} \boldsymbol{m}^{-1} \) and \( \boldsymbol{B}=\mathbf{5} \times \mathbf{1 0}^{\mathbf{3}} \boldsymbol{T} \)
Then the specific charge \( \frac{e}{m} \) is :
A \( \cdot 4.5 \times 10^{4} \mathrm{C} / \mathrm{kg} \)
В . \( 9 \times 10^{7} C / k g \)
C \( .4 .5 \times 10^{3} C / k g \)
D. \( 9 \times 10^{5} C / k g \)
Subject: Physics
Find out the most efficient engine in the following
A. An engine converts \( 80 \mathrm{K} \). of heat energy into \( 20 \mathrm{KJ} \) of work
B. An engine converts 50 KJ of heat energy into 15 KJ of work
C. An engine converts 30 KJ of heat energy into 6 KJ of work
D. An engine converts 60 KJ of heat energy into 24 KJ of work
Subject: Maths
Let the function \( \boldsymbol{f}: \boldsymbol{R}-\{-\boldsymbol{b}\} \rightarrow \boldsymbol{R} \)
\{1\} be defined by \( f(x)=\frac{x+a}{x+b}, a \neq b \)
then
A. \( f \) is one-one but not onto
B. \( f \) is onto but not one-one
c. \( f \) is both one-one and onto
D. None of these
Subject: Physics
\( f_{2} \) are separated by a horizontal
distance \( \left.d \text { (where } d<f_{1} \text { and } d<f_{2}\right) \)
and their centers are displaced by a
vertical separation \( \Delta \) as shown in the
figure. Taking the origin of coordinates,
O at the center of left lens, the \( x \) and \( y \)
coordinates of the focal point of this
lens system for a parallel beam of rays coming from the left are given by
A \( x=\frac{f_{1} f_{2}}{f_{1}+f_{2}}, y=\Delta \)
B. \( x=\frac{f_{1}\left(f_{2}+d\right)}{f_{1}+f_{2}-d}, y=\frac{\Delta^{2}}{f_{1}+f_{2}} \)
c. \( x=\frac{f_{1} f_{2}+d\left(f_{1}-d\right)}{f_{1}+f_{2}-d}, y=\frac{\Delta\left(f_{1}-d\right)}{f_{1}+f_{2}-d} \)
D. \( x=\frac{f_{1} f_{2}+d\left(f_{1}-d\right)}{f_{1}+f_{2}-d}, y=0 \)
Subject: Physics
An object is thrown vertically upward with a speed of \( 30 m / s . \) The velocity of
the object half a second before it reaches the maximum height is
A \( .4 .9 \mathrm{m} / \mathrm{s} \)
в. \( 9.8 \mathrm{m} / \mathrm{s} \)
c. \( 19.6 m / s \)
D. \( 25.1 \mathrm{m} / \mathrm{s} \)
Subject: Maths
Sum of infinity the following series:
\( \mathbf{1}+\mathbf{4} \boldsymbol{x}^{\mathbf{2}}+\mathbf{7} \boldsymbol{x}^{\mathbf{4}}+\mathbf{1 0} \boldsymbol{x}^{\mathbf{6}}+\ldots,|\boldsymbol{x}|<\mathbf{1} \)
Subject: Chemistry
For a cell reaction involving two electron
changes, \( \boldsymbol{E}_{c e l l}^{0}=\mathbf{0 . 3} \boldsymbol{V} \) at \( \mathbf{2 5}^{\circ} \boldsymbol{C} \). The
equilibrium constant of the reaction is:
\( \mathbf{A} \cdot 10^{-10} \)
В. \( 3 \times 10^{-2} \)
c. 10
D. \( 10^{10} \)
Subject: Chemistry
The advantage(s) of using \( O_{2} \) rather than air in the steel industry is (are):
\( (I) \) There is a faster conversion, so a
given plant can produce more in day
\( (I I) \) Larger quantities can be handled
\( (I I I) \) It gives a pure product, and the surface is free from nitrides.
A. I only
B. II and III only
c. \( I I \) only
D. \( I, I I \) and \( I I I \)
Subject: Physics
The dimensional formula for electric
flux is
A \( \cdot\left[M L^{3} I^{-1} T^{-3}\right. \)
B \( \cdot\left[M^{2} L^{2} I^{-1} T^{-2}\right] \)
C . \( \left[M L^{3} I^{1} T^{-3}\right] \)
\( \mathbf{D} \cdot\left[M L^{-3} I^{-1} T^{-3}\right] \)
Subject: Maths
\( \operatorname{Let} f(x)=\cos \left(\tan ^{-1} 2 x\right) \)
\( \sin \left\{\tan ^{-1}\left(\frac{1}{2 x+1}\right)\right\} \) and
\( \boldsymbol{a}=\cos \left(\tan ^{-1}\left(\sin \left(\cot ^{-1} 2 x\right)\right)\right) \) and \( \boldsymbol{b}= \)
\( \cos \left(\frac{\pi}{2}+\cos ^{-1} 2 x\right) \)
The value of \( x \) for which \( f(x)=0 \) is
\( A \cdot-\frac{1}{4} \)
B. \( \frac{1}{4} \)
c. 0
D. \( \frac{1}{2} \)
Subject: Maths
In an examination, the probability of a candidate solving a question is \( \frac{1}{2} . \) Out of given 5 questions in the examination, what is the probability that the candidate was able to solve at least 2
questions?
A \( \cdot \frac{1}{64} \)
в. \( \frac{3}{16} \)
\( c \cdot \frac{1}{2} \)
D. \( \frac{13}{16} \)
Subject: Physics
A disc of radius \( 0.2 m \) is rolling with
slipping on a flat horizontal surface, as shown in figure. The instantaneous
centre of rotation is: (the lowest contact
point is 0 and centre of disc is \( C \) )
A . zero
B. \( 0.1 m \) above 0 on line 0 C
c. \( 0.2 m \) below o on line oc
D. \( 0.2 m \) above 0 on line 0 c
Subject: Physics
Two weight \( w_{1} \) and \( w_{2} \) are connected by a light thread which passes over a light smooth pulley. If the pulley is raised upward with an acceleration equal to \( g \) then tension in the thread will be
A \( \cdot \frac{2 w_{1} w_{2}}{w_{1}+w_{2}} \)
в. \( \frac{w_{1} w_{2}}{w_{1}+w_{2}} \)
c. \( \frac{4 w_{1} w_{2}}{w_{1}+w_{2}} \)
D. \( \frac{4 w_{1} w_{2}}{w_{1}-w_{2}} \)
Subject: Chemistry
When lead nitrate is heated, it breaks
down into lead monoxide, nitrogen dioxide and oxygen.
\( 2 P b\left(N O_{3}\right)_{2} \rightarrow 2 P b O+4 N O_{2}+O_{2} \)
The reaction is an example of:
A. combination reaction
B. decomposition reaction
c. double decomposition reaction
D. displacement reaction
Subject: Physics
A bullet of mass \( m \) and charge \( q \) is fired
towards a solid uniformly charged
sphere of radius \( R \) and total charge \( +q \) If it strikes the surface of the sphere
with speed \( u \), find the minimum speed
\( u \) so that it can penetrate through the sphere. (Neglect all resistance forces or
friction acting on bullet except electrostatic forces)
\( A \)
в.
\[
\frac{q}{\sqrt{4 \pi \varepsilon_{0} m R}}
\]
c. \( \frac{q}{\sqrt{8 \pi \varepsilon_{0} m R}} \)
D.
Subject: Biology
Assertion
Diabetes insipidus is marked by excessive urination and too much thirst
for water.
Reason
Anti-diuretic hormone (ADH) is
secreted by the posterior lobe of pitutiary gland.
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
Find the number of an element(s) which
is/are present in group-II. \( \boldsymbol{B} \boldsymbol{a}, \boldsymbol{K}, \boldsymbol{C} \boldsymbol{a}, \boldsymbol{C} \boldsymbol{s}, \boldsymbol{R} \boldsymbol{b}, \boldsymbol{n} \)
Subject: Maths
If the polynomial \( 3 x^{2}-x^{3}-3 x+5 \) is
divided by another polynomial \( \boldsymbol{x}-\mathbf{1}- \)
\( x^{2}, \) the remainder comes out to be 3
then quotient polynomial is
\( \mathbf{A} \cdot 2-x \)
B. \( 2 x-1 \)
c. \( 3 x+4 \)
D. \( x-2 \)
Subject: Chemistry
In a reaction, if \( \Delta H \) and \( \Delta S \) both are
more than zero, then in which of the
following cases, the reaction would not be
spontaneous? This question has multiple correct options
A \( . \Delta H>T \Delta S \)
в. \( T \Delta S>\Delta H \)
c. \( \Delta H=T \Delta S \)
D. All of the above
Subject: Maths
If \( \left|z_{1}-z_{2}\right|=\left|z_{1}\right|+\left|z_{2}\right|, \) then
This question has multiple correct options
A \( \cdot \arg \left(\frac{z_{1}}{z_{2}}\right)=\frac{\pi}{2} \)
B \( \cdot \arg \left(\frac{z_{1}}{z_{2}}\right)=(2 n+1) \pi, n \in I \)
\( \mathbf{c} \cdot z_{1} \overline{z_{2}}+\overline{z_{1}} z_{2} \leq 0 \)
D. \( z_{1}=l z_{2}, l \in R \)
Subject: Maths
Let \( T \) be the set of all triangles in a plane with \( \boldsymbol{R} \) a relation in \( \boldsymbol{T} \) given by
\( \left.\boldsymbol{R}=\left\{\left(\boldsymbol{T}_{1}, \boldsymbol{T}_{2}\right)\right\}: \boldsymbol{T}_{1} \text { congruent to } \boldsymbol{T}_{2}\right\} \)
Show that \( R \) is an equivalence relation.
Subject: Maths
Let \( a, b, c \) and \( d \) be any four real
numbers. Then, \( a^{n}+b^{n}=c^{n}+d^{n} \) holds
for any natural number \( n \), if
(This question has some ambiguity, but appeared in WBJEE 2015 exam)
A \( . a+b=c+d \)
В . \( a-b=c-d \)
c. \( a+b=c+d, a^{2}+b^{2}=c^{2}+d^{2} \)
D . \( a-b=c-d, a^{2}-b^{2}=c^{2}-d^{2} \)
Subject: Physics
Two parallel plate capacitors of
capacitances \( C_{1} \) and \( C_{2} \) such that
\( C_{1}=2 C_{2} \) are connected across a
battery of \( V \) volts as shown in the
figure. Initially the key ( \( k \) ) is kept closed
to fully charge the capacitors. The key is
now thrown open and a dielectric slab of
dielectric constant ' \( K^{\prime} \) is inserted in the
two capacitors to completely fill the gap between the plates. The ratio of the energies stored in the combination, before and after the introduction of the
dielectric slab:
Subject: Chemistry
Which one of the following order is not
in accordance with the property stated
against it?
\( \mathbf{A} \cdot F_{2}>C l_{2}>B r>I_{2}: \) Electronegativity
B \( \cdot F_{2}>C l_{2}>B r_{2}>I_{2}: \) Bond dissociation energy
\( \mathbf{C} \cdot F_{2}>C l_{2}>B r_{2}>I_{2}: \) Oxidizing power
D. \( H I>H B r>H C l>H F \) : acidic property in water
Subject: Maths
If \( 2 \vec{a}+3 \vec{b}+4 \vec{c}=0 \Rightarrow \vec{a} \times \vec{b}+\vec{b} \times \)
\( \vec{c}+\vec{c} \times \vec{a}= \)
\( A \)
B \( \cdot 3 \vec{a} \times \vec{b} \)
c. \( 3 \vec{b} \times \vec{c} \)
D. \( 3 \vec{c} \times \vec{a} \)
Subject: Maths
If \( \boldsymbol{y}=\frac{\mathbf{1}}{\mathbf{1}+\boldsymbol{x}^{\boldsymbol{\beta}-\boldsymbol{\alpha}}+\boldsymbol{x}^{\boldsymbol{\gamma}-\boldsymbol{\alpha}}}+ \)
\( \frac{1}{1+x^{\alpha-\beta}+x^{\gamma-\beta}}+\frac{1}{1+x^{\alpha-\gamma}+x^{\beta-\gamma}} \)
then \( \frac{\boldsymbol{d} \boldsymbol{y}}{\boldsymbol{d} \boldsymbol{r}} \) is equal to
A . 0
B. 1
C \( \cdot(a+\beta+\gamma) X^{\alpha+\beta+\gamma-1} \)
D. None of these
Subject: Chemistry
Benzyl amine may be alkylated as shown in the following equation:
\( \boldsymbol{C}_{\boldsymbol{6}} \boldsymbol{H}_{\boldsymbol{5}} \boldsymbol{C H}_{\mathbf{2}} \boldsymbol{N} \boldsymbol{H}_{\boldsymbol{2}}+\boldsymbol{R}-\boldsymbol{X} \rightarrow \)
\( \boldsymbol{C}_{\boldsymbol{6}} \boldsymbol{H}_{\boldsymbol{5}} \boldsymbol{C} \boldsymbol{H}_{2} \boldsymbol{N} \boldsymbol{H} \boldsymbol{R} \)
Which of the following alkyl halides is best suited for this reaction through
\( \boldsymbol{S}_{N} 1 \) mechanism?
A \( \cdot C H_{3} B r \)
в. \( C_{6} H_{5} B r \)
c. \( C_{6} H_{5} C H_{2} B r \)
\( \mathbf{D} \cdot C_{2} H_{5} B r \)
Subject: Chemistry
Match the following.
\begin{tabular}{lllll} 
& List - I & & & List - II \\
& A & Sucralose & I & Antioxidant \\
B & lodine & II & Artificial sweetener \\
C & Sodium benzoate & III & Antacid \\
D & Ranitidine & IV & Antiseptic \\
\hline & V & Food preservative
\end{tabular}
B. A-II, B-IV, C-V, D-III
C. \( A-\|, B-\| I, C-V D-1 \)
D. A- II, B-I C-III D-IV
Subject: Chemistry
When an aqueous solution of \( \boldsymbol{A} \boldsymbol{g} \boldsymbol{N} \boldsymbol{O}_{3} \) is
electrolysed between platinum electrodes, the substances liberated at anode and cathode are:
A. silver is deposited at cathode and \( O_{2} \) is liberated at
anode
B. Silver is deposited at cathode and \( H_{2} \) is liberated at anode
C. Hydrogen is liberated at cathode and \( O_{2} \) is liberated at anode
D. Silver is deposited at cathode and Pt is dissolved in electrolyte
Subject: Chemistry
The kinetic energy of \( N \) molecules of \( O_{2} \)
is \( x \) joule at \( -123^{\circ} \mathrm{C} \). Another sample
of \( O_{2} \) at \( 27^{\circ} C \) has a kinetic energy of \( 2 x \)
The later sample contains
molecules of \( \boldsymbol{O}_{2} \)
A. \( N \)
B. \( N / 2 \)
\( c \cdot 2 N \)
D. 3N
Subject: Physics
The dimension of the universal constant
of gravitation \( G \) is
\( \mathbf{A} \cdot\left[M L^{2} T^{-1}\right] \)
B. \( \left[M^{-1} L^{3} T^{-2}\right] \)
\( \mathbf{c} \cdot\left[M^{-1} L^{2} T^{-2}\right] \)
D・ \( \left[M L^{3} T^{-2}\right] \)
Subject: Physics
A rigid bar of mass \( 15 k g \) is supported
symmetrically by three wires each \( 2 m \) long. Those at each end are of copper and the middle one is of iron. Determine
the ratio of their diameters if each is to
have the tension? (Given E for copper =
\( 110 \times 10^{9} N / m^{2} \) and \( E \) for iron \( =190 \times \)
\( \mathbf{1 0}^{\mathbf{9}} \mathbf{N} / \boldsymbol{m}^{\mathbf{2}} \)
A . 12.6: 2
в. 1.31: 1
c. 4.65: 3
D. 2.69 : 4
Subject: Chemistry
Consider the complex
\( \left[\boldsymbol{C o}(\boldsymbol{e n})_{2} \boldsymbol{C l}\left(\boldsymbol{N O}_{2}\right)\right] \boldsymbol{B r} . \) It can exhibit:
This question has multiple correct options
A. geometrical isomerism
B. optical isomerism
c. ionization isomerism
D. linkage isomerism
Subject: Maths
The axes of co-ordinates are rotated
about z-axis through an angle of \( \pi / 4 \) in anti-clockwise direction and the
components of a vector are \( 2 \sqrt{2}, 3 \sqrt{2}, 4 \)
Then the components of the same vector in the original system are -1,5,4
A. \( a=5 i-j-4 k \)
B. \( a=-5 i+j+4 k \)
c. \( a=i-5 j-4 k \)
D. \( a=-i+5 j+4 k \)
Subject: Maths
\( \frac{1}{2} \sin (2 x)\left(1+\cot ^{2}(x)\right) \) is equal to
\( \mathbf{A} \cdot \tan (x) \)
B. \( \sin (x) \)
\( \mathbf{c} \cdot \cos (x) \)
D. \( \cot (x) \)
E. \( \sec (x) \)
Subject: Physics
The length of a rubber cord is \( l_{1} \) when
the tension is \( 4 N \) and \( l_{2} m \) when the
tension is \( 6 N . \) The length when the
tension is \( 9 N, \) is:
A \( \cdot\left(2.5 l_{2}-1.5 l_{1}\right) m \)
В \( \cdot\left(6 l_{2}-1.5 l_{1}\right) m \)
c. \( \left(3 l_{2}-2 l_{1}\right) m \)
D・ \( \left(3.5 l_{2}-2.5 l_{1}\right) m \)
Subject: Chemistry
How many molecules of water are
present in a 0.25 mole of \( H_{2} O ? \)
A. \( 6.0 \times 10^{22} \)
В. \( 4.5 \times 10^{23} \)
c. \( 1.5 \times 10^{23} \)
D . \( 18 \times 10^{23} \)
Subject: Physics
The U tube having identical limbs
contains mercury (density \( \rho_{m} \) ) to a level as shown in the figure. If the left limbs
is filled to the top with water \( \left(\rho_{w}\right), \) then
the rise of mercury level in the right
limb will be
A . 12 pm 12pm
в.
c. \( \frac{\rho_{m} l}{\rho_{w}} \)
D.
Subject: Maths
Let \( A \) be the set of all \( 3 \times 3 \) symmetric
matrices all of whose entries are either
0 or \( 1 . \) If five of these entries are 1 and
four of them are 0 , then the number of
matrices in \( A \) is
A . 12
B. 6
\( c .9 \)
D. 3
Subject: Physics
A change q exists at a distance of \( \mathrm{R} \)
from a spherical concave mirror of
curvature R. Let mirror subtends a half
angle \( \theta=30^{\circ} \) at the change.Flux
passing through the mirror is
A \( \cdot 2 q \sin ^{2} 15^{\circ} \)
B. \( q \sin ^{2} 30 \)
c. \( 2 q \sin ^{2} 30^{\circ} \)
D. \( q \sin ^{2} 15^{\circ} \)
Subject: Physics
A particle with charge \( q \) having
momentum \( p \) enters a uniform
magnetic field normally. The magnetic filed has magnitude \( B \) and is confined to a region of width \( d, \) where \( d<\frac{p}{B q} \)
The particle is deflected by an angle \( \theta \) in
crossing the field.
\( A \)
\[
\sin \theta=\frac{p d}{B q}
\]
B.
\[
\sin \theta=\frac{B q}{q d}
\]
\( c \)
\[
\sin \theta=\frac{p}{B d q}
\]
D.
\[
\sin \theta=\frac{B q d}{p}
\]
Subject: Chemistry
\( K M n O_{4} \) on treatment with conc.
\( \boldsymbol{H}_{2} \boldsymbol{S} \boldsymbol{O}_{4} \) forms a compound \( (X) \) which
decomposes explosively on heating forming (Y). The (X) and (Y) are respectively:
A. \( M n_{2} O_{7}, M n O_{2} \)
В. \( M n_{2} O, M n_{2} O_{3} \)
c. \( M n S O_{4}, M n_{2} O_{3} \)
D. \( M n_{2} O_{3}, M n O_{2} \)
Subject: Physics
If a thermometer reads freezing point of
water as \( 20^{\circ} \mathrm{C} \) and boiling point at
\( 150^{\circ} \mathrm{C} \) how much thermometer read
when the actual temperature is \( 60^{\circ} \mathrm{C} \)
\( \mathbf{A} \cdot 98^{\circ} C \)
B. \( 110^{\circ} \mathrm{C} \)
\( \mathbf{c} \cdot 40^{\circ} \mathrm{C} \)
D. \( 60^{\circ} \mathrm{C} \)
Subject: Chemistry
Consider the following reactions:
\( \boldsymbol{I} \cdot \boldsymbol{C}_{2} \boldsymbol{H}_{5}-\boldsymbol{I}+\boldsymbol{N} \boldsymbol{H}_{3} \longrightarrow \)
\( \boldsymbol{C}_{2} \boldsymbol{H}_{5} \boldsymbol{N} \stackrel{\oplus}{\boldsymbol{H}_{3}}+\boldsymbol{I}^{\ominus} \)
\( \boldsymbol{I I} \cdot \boldsymbol{C}_{2} \boldsymbol{H}_{5}-\boldsymbol{I}+\ddot{\boldsymbol{P}} \boldsymbol{H}_{3} \longrightarrow \)
\( \boldsymbol{C}_{2} \boldsymbol{H}_{5} \boldsymbol{P} \stackrel{\oplus}{\boldsymbol{H}_{3}}+\boldsymbol{I}^{\ominus} \)
\( I I I \cdot C_{2} H_{5}-I+E t O^{\ominus} \longrightarrow C_{2} H_{5}- \)
\( \boldsymbol{O} \boldsymbol{E} \boldsymbol{t}+\boldsymbol{I}^{\ominus} \)
\( \boldsymbol{I} \boldsymbol{V} \cdot \boldsymbol{M} \boldsymbol{e}-\stackrel{\oplus}{\boldsymbol{S}}-\boldsymbol{M} \boldsymbol{e}_{2}+\stackrel{\ominus}{\boldsymbol{O}} \boldsymbol{H} \longrightarrow \boldsymbol{M} \boldsymbol{e}- \)
\( \boldsymbol{O} \boldsymbol{H}+\boldsymbol{M} \boldsymbol{e}_{2} \boldsymbol{S} \)
In which of the above reactions does the
rate of \( S_{N} 2 \) reaction increase in solvent
polarity?
This question has multiple correct options
A . (I)
в. \( (I I) \)
c. \( (I I I) \)
D. \( (I V) \)
Subject: Biology
Which one of the following is a matching pair?
A. Lub - sharp closure of AV valves at the beginning of ventricular systole
B. Dup- - Sudden opening of semilunar valves at the beginning of ventricular diastole
C. Pulsation of the radial artery - Valves in the blood vessels
D. Initiation of the heart beat - Purkinje fibres
Subject: Physics
If the earth were to suddenly contract to \( \frac{1}{m} \) th of its present radius without any \( \boldsymbol{n} \)
change in its mass then the duration of the new day will be close to
\( ^{\mathrm{A}} \cdot \frac{24}{n} \) hour
B. \( 24 n \) hour
c. \( \frac{24}{n^{2}} \) hour
D. \( 24 n^{2} \) hour
Subject: Chemistry
Assertion
\( H C l O_{4} \) is a stronger acid than \( H C l O_{3} \)
Reason

Oxidation state of chlorine in \( H C l O_{4} \) is
+7 and in \( H C l O_{3} \) is +5
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: Biology
How is the arrangement of Mendel's
selected seven characters on four
chromosomes?
A. One in chromosome no. 1,4 in chromosome no. \( 4, \) one in chromosome no. 5 , and one in chromosome no. 7
B. 2 in chromosome no. 1 , 3 in chromosome no. 4 , one in chromosome no. 5 and one in chromosome no. 6
C. 3 in chromosome no. 1,1 in chromosome no. 4,2 in chromosome no. 5 and one in chromosome no. 7
D. 2 in chromosome no. 1,3 in chromosome no. 4,1 in
chromosome no. 5 and 1 in chromosome no. 7
Subject: Chemistry
The hybridisation of atomic orbitals of
\( N \) in \( N O_{2}^{+}, N O_{3}^{-} \) and \( N H_{4}^{+} \) are respectively:
A \( \cdot s p, s p^{2}, s p^{3} \)
В \( . s p, s p^{3}, s p^{2} \)
\( \mathbf{c} \cdot s p^{2}, s p, s p^{3} \)
D. \( s p^{2}, s p^{3}, s p \)
Subject: Physics
Water enters through end \( A \) with a
speed \( v_{1} \) and leaves through end \( B \) with
a speed \( v_{2} \) of a cylindrical tube \( A B \). The
tube is always completely filled with
water In case \( I \) the tube is horizontal,
in case \( I I \) it is vertical with the end \( A \)
upward and in case \( I I I \) it is vertical
with the end \( B \) upward. We have \( v_{1}= \)
\( \boldsymbol{v}_{2} \) for
A . case I
B. case II
c. case \( I I I \)
D. each case
Subject: Physics
At what temperature will the mean molecular energy of a perfect gas be one-third of its value of \( 27^{\circ} \mathrm{C} ? \)
A \( \cdot 10^{\circ} \mathrm{C} \)
В . \( 10^{1} \mathrm{K} \)
\( c \cdot 10^{2} k \)
D. \( 10^{3} \) J
Subject: Physics
Figure shows equipotential surfaces
concentric at 'O' the magnitude of electric fields at distance r(in meter)
measured from
A \( \cdot \frac{9}{r^{2}}\left(V m^{-1}\right) \)
в. \( \frac{6}{r^{2}}\left(V m^{-1}\right) \)
c. \( \frac{2}{r^{2}}\left(V m^{-1}\right) \)
D. \( \frac{16}{r^{2}}\left(V m^{-1}\right) \)
Subject: Physics
A closed vessesl contains 8 gms of
oxygen and \( 7 \mathrm{gm} \) of Nitrogen. Total pressure at a certain temperature is 10
atm. When all the oxygen is removed from the system without chage
in temperature then the pressure will be
A. \( 10 \times 7 / 15 \) atm
B. 10 x 8/15atm
c. \( 10 \times 8 / 16 \) atm
D. \( 10 \times 8 / 32 \) atm
Subject: Maths
If the points \( \boldsymbol{A}(1,2), B(2,3) C(a, 2) \) and \( D(4,3) \) form a parallelogram, find the
value of \( a \) and height of the
parallelogram taking \( A B \) as base.
A. \( a=1, h=2 \)
В. \( a=1, h=1 \)
c. \( a=3, h=1 \)
D. \( a=2, h=3 \)
Subject: Physics
The resistance of a \( 240 \vee, 200 \mathrm{W} \)
electric bulb when hot is 10 times the
resistance when cold.The resistance at
room temperature and the temperature coefficient of the filament are
(given working temperature of the filament is \( \left.2000^{0} \mathrm{C}\right) \)
A \( \cdot 28.8 \Omega, 4.5 \times 10^{-3} /^{0} C \)
В . \( 14.4 \Omega, 4.5 \times 10^{-3} /^{0} C \)
c . \( 28.8 \Omega, 3.5 \times 10^{-3} /^{0} C \)
D. \( 14.4 \Omega, 3.5 \times 10^{-3} /^{0} C \)
Subject: Chemistry
Recent X-ray work, IR and other
spectroscopic methods have proved that Turnbull's blue is identical to
Prussian blue. What is the common
formula of Turnbull's blue and Prussian
blue?
\( \mathbf{A} \cdot F e_{3}\left[F e(C N)_{6}\right]_{2} \)
B . \( F e_{4}\left[F e(C N)_{6}\right]_{3} \)
c. \( K F e\left[F e(C N)_{6}\right] \)
D. \( K F e_{2}\left[F e(C N)_{6}\right] \)
Subject: Chemistry
Rahul Sharma, an intelligent student of class 12 follows the lesson taught in class easily, has friendship with Amit
and Krishan who do not follow the
lessons easily. Rahul helps Amit and Krishan to understand the concepts and in turn, they are thankful to him. Their friendship is long lasting because both are happy. Rahul feels sense of achievement.
a) Should intelligent students make friends with weak students?Give
reason
b) If you compare this kind of friendship to atoms what kind of bond will be
formed
c) Comment on the strength of such bonding. Name the force that keeps them bonded.
d) Discuss any one property in which these atoms are different from each
other.
Subject: Physics
Infinite charges are lying at \( \boldsymbol{x}= \)
\( 1,2,4,8 \dots \) meter on \( X \) -axis and the
value of each charge is \( Q . \) The value of
intensity of electric field at point \( \boldsymbol{x}=\mathbf{0} \) due to these charges will be respectively
\( \mathbf{A} \cdot 12 \times 10^{8} Q N / C \)
в. zero
c. \( 69 \times 10^{9} Q N / C \)
D. \( 4 \times 10^{9} Q N / C \)
Subject: Maths
A farmer \( F_{1} \) has a land in the shape of a
triangle with vertices at \( \boldsymbol{P}(\mathbf{0}, \mathbf{0}), \boldsymbol{Q}(\mathbf{1}, \mathbf{1}) \)
and \( R(2,0) . \) From this land, a
neighbouring farmer \( F_{2} \) takes away the region which lies between the side PQ and a curve of the form \( \boldsymbol{y}=\boldsymbol{x}^{n}(\boldsymbol{n}>1) \)
If the area of the region taken away by the farmer \( F_{2} \) is exactly \( 30 \% \) of the area of \( \Delta P Q R, \) then the value of \( n \) is