AkshitPareek2004/jee-question-analyzer-data huggingface dataset:
Subject: Chemistry
In the given complexes \( \left[\boldsymbol{C o}\left(\boldsymbol{N} \boldsymbol{H}_{3}\right)_{5}\left(\boldsymbol{H}_{2} \boldsymbol{O}\right)\right]^{3+} \ldots \)
\( \left[\boldsymbol{C o}\left(\boldsymbol{N} \boldsymbol{H}_{3}\right)_{5} \boldsymbol{C l}\right]^{2+} \ldots .2 \)
\( \left[\boldsymbol{C o}\left(\boldsymbol{N} \boldsymbol{H}_{3}\right)_{6}\right]^{3+} \ldots . .3 \)
The decreasing order of \( \lambda \) absorbed is:
A. \( (i i i)>(i i)>(i) \)
B. \( (i i i)>(i)>(i i) \)
c. \( (i i)>(i)>(i i i) \)
D. \( (i i)>(i i i)>(i) \)
Subject: Chemistry
\( \boldsymbol{C}_{6} \boldsymbol{H}_{5} \boldsymbol{N} \boldsymbol{H}_{2} \frac{N a N O_{2}+\boldsymbol{H} C l, \mathbf{0}^{o} \boldsymbol{C}}{\longrightarrow} \)
\( \boldsymbol{X} \stackrel{\boldsymbol{H}_{2} \boldsymbol{O}, \boldsymbol{w} \boldsymbol{a} \boldsymbol{r} \boldsymbol{m}}{\boldsymbol{Y}} \boldsymbol{Y} \)
In the above reaction, \( \boldsymbol{Y} \) is:
\( \mathbf{A} \cdot C_{6} H_{5} C l \)
в. \( C_{6} H_{6} \)
c. \( C_{6} H_{5} O H \)
D. \( C_{6} H_{5} C H O \)
Subject: Chemistry
The spontaneous decomposition of radio nuclei is a first order rate
process.U-238 disintegrates with the emission of \( \alpha \) -particles and has a half-
life of \( 4.5 \times 10^{9} \) years. If at time \( t=0,1 \)
mole of U-238 is present, what will be the number of nuclei left after 1 billion
years?
A \( \cdot 5.16 \times 10^{23} \)
3
B . \( 5.16 \times 10^{20} \)
\( \mathbf{c} \cdot 5.16 \times 10^{19} \)
D. None of these
Subject: Chemistry
pH of a \( 0.1 \mathrm{M} \) monobasic acid is found to
be \( 2 . \) Hence, its osmotic pressure at a given temperature T K is :
\( \mathbf{A} \cdot 0.1 \mathrm{RT} \)
B. 0.11RT
c. \( 1.1 \mathrm{RT} \)
D. 0.01RT
Subject: Maths
\( \boldsymbol{x}=(-1)^{a^{1}}+(-1)^{a^{2}}+\ldots . .(-1)^{a^{1006}} \)
\( \boldsymbol{y}=(-1)^{a^{1007}}+(-1)^{a^{1008}}+\ldots+ \)
\( (-1)^{a^{2013}} \)
Then which of the following is true?
\( \mathbf{A} \cdot(-1)^{x}=1 ;(-1)^{y}=1 \)
B . \( (-1)^{x}=1 ;(-1)^{y}=-1 \)
C \( \cdot(-1)^{x}=-1 ;(-1)^{y}=1 \)
D \cdot \( (-1)^{x}=-1 ;(-1)^{y}=-1 \)
Subject: Maths
The differential equation for the family of curves \( \mathbf{x}^{2}+\mathbf{y}^{2}-\mathbf{2} \mathbf{a y}=\mathbf{0}, \) where \( \boldsymbol{a} \) is
an arbitrary constant is:
A \( \cdot 2\left(\mathrm{x}^{2}-\mathrm{y}^{2}\right) \mathrm{y}^{\prime}=x y \)
B \( \cdot 2\left(\mathrm{x}^{2}+\mathrm{y}^{2}\right) \mathrm{y}^{\prime}=x y \)
C \( \cdot\left(x^{2}-y^{2}\right) y^{\prime}=2 x y \)
D. \( \left(x^{2}+y^{2}\right) y^{\prime}=2 x y \)
Subject: Physics
A body of mass \( 3 k g \) hits a wall at an
angle of \( 60^{\circ} \) and returns at the same
angle. The impact time was 0.2 sec. The
fores exerted on the wall
B. \( 50 \sqrt{3} N \)
c. \( 100 N \)
D. \( 75 \sqrt{3} N \)
Subject: Maths
Solve:
\( \int_{0}^{\pi / 6} \frac{\cos 2 x}{(\cos x-\sin x)^{2}} d x \)
\( \mathbf{A} \cdot_{-\log }\left(\frac{\sqrt{3}-1}{2}\right) \)
\( ^{\mathbf{B}}-\log \left(\frac{\sqrt{3}+1}{2}\right) \)
\( \mathbf{c} \cdot \log \left(\frac{\sqrt{3}+1}{2}\right) \)
D. None of these
Subject: Chemistry
Which compound is soluble in water:
This question has multiple correct options
\( \mathbf{A} \)
\( \left[\left(C H_{3}\right)_{2} N H_{2}\right]^{+} C l^{-} \)
B \( \cdot\left[C H_{3} N H_{3}\right]^{+} C l^{-} \)
\( \mathbf{c} \)
\( \left[\left(C H_{3}\right)_{3} N H\right]^{+} C l^{-} \)
\( \mathbf{D} \cdot P h N O_{2} \)
Subject: Maths
Find the value of \( \frac{d y}{d x} \quad \) a \( \theta=\frac{n}{4}, \) if \( x= \)
\( \boldsymbol{a} e^{\theta}(\sin \theta-\cos \theta) \) and \( y=a e^{\theta}(\sin \theta- \)
\( \cos \theta) \)
Subject: Maths
Evaluate the integral \( \int_{0}^{\pi} x \sin ^{5} x \cos ^{6} x d x=? \)
A \( \cdot \frac{5 \pi}{16} \)
в. \( \frac{35 \pi}{128} \)
c. \( \frac{5 \pi}{8} \)
D. \( \frac{8 \pi}{693} \)
Subject: Chemistry
Assertion
Froth-flotation process is used to concentrate sulphide ores.
Reason
There is difference in the wettability of
different minerals.
A. Both Assertion and Reason are correct and Reason is
the correct explanation for Assertion
B. Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion
C. Assertion is correct but Reason is incorrect
D. Assertion is incorrect but Reason is correct
Subject: Maths
\( A B C \) is a triangle and \( P \) is any point on
BC. If \( P Q \) is the resultant of the vectors \( \overrightarrow{A P}, \overrightarrow{P B} \) and \( \overrightarrow{P C} \) then \( A C Q B \) is
A. Rectangle
B. Square
c. Rhombus
D. Parallelogram
Subject: Chemistry
Ammonia is used in detection of \( C u^{2+} \)
ion because:
A. aqueous solution of \( N H_{3} \) reacts with \( C u^{2+} \) ion to form deep blue coloured complex
B. \( N H_{3} \) reacts with \( C u^{2+} \) ion to give blue precipitate of \( C u O \)
C . aqueous solution of \( N H_{3} \) reacts with \( C u^{2+} \) ion to form white coloured complex.
D. \( N H_{3} \) reacts with \( C u^{2+} \) ion to give green precipitate.
Subject: Chemistry
Which is the correct in the following?
A \( . \) Radius of \( C l \) is \( 0.99 \AA \), while that of \( C l^{+} \) ion is 1.54 A.
B. Radius of \( C l \) atoms is 0.99 , \( \hat{A} \), while that of \( N a \) atom is 1.54 月.
C. Radius of \( C l \) atoms is 0.99 , a , while that of \( C l^{-} \) ion is \( 0.81 A \)
D. Radius of \( N a \) atoms is 0.95 , \( \dot{A} \), while that of \( N a^{+} \) ion is \( 1.54 \AA \)
Subject: Chemistry
Sulphur trioxide is dissolved in heavy water to form a compound \( X \). The state
of hybridisation of sulphur in \( \boldsymbol{X} \) is:
\( A \cdot s p^{2} \)
B \( \cdot s p^{3} \)
\( c \cdot s p \)
D. \( d s p^{2} \)
Subject: Maths
In a closed lab, experiment is conducted by heating of water. When water is heated, the vapour pressure increased slowly then rapidly increases. As the water reaches to its boiling point, i.e.
\( \mathbf{1 0 0}^{0} \boldsymbol{C}, \) the vapour pressure reaches 1 atm. Which of the following functions best describes the increase in vapour
pressure as water is heated to its boiling point?
A. Linear
B. Quadratic
c. Polynomial
D. Exponential
Subject: Chemistry
Two liquids \( A \) and \( B \) are miscible over the whole range of composition and may be treated as ideal (obeying Raoult's Law). At \( 350 \mathrm{K} \) the vapour pressure of pure \( A \) is \( 24.0 \mathrm{kPa} \) and of pure B is 12.0 kPa. A mixture of 60\% A
and \( 40 \% \mathrm{B} \) is distilled at this
temperature; what is the pressure in a closed distillation apparatus from which air is excluded? in KPa
Subject: Physics
Aluminium \( \left(\boldsymbol{\alpha}=\mathbf{4} \times \mathbf{1 0}^{-\mathbf{3}} \boldsymbol{K}^{-1}\right) \)
resistance of \( 60 \Omega \) and carbon
\( \left(\alpha=0.5 \times 10^{-3} K^{-1}\right) \) resistance \( 40 \Omega \)
are connected in parallel. The combination is heated. The effective
resistance is
A. Greater than \( 24 \Omega \)
B. Less than \( 24 \Omega \)
c. Greater than \( 40 \Omega \)
D. Greater than \( 100 \Omega \)
Subject: Chemistry
\( B a C l_{2} \) dissociates in water to give one
\( B a^{2+} \) ion and two \( C l^{-} \) ions. If
concentrated \( H C l \) is added to this
solution:
A \( \cdot\left[B a^{2+}\right] \) increases
B・ \( \left[B a^{2+}\right] \) remains constant
c. \( \left[O H^{-}\right] \) increases
D. The number of moles of undissociated \( B a C l_{2} \) increases
E \( \cdot\left[H^{+}\right] \) decreases
Subject: Chemistry
The above compound on strong heating gives:
\[
\begin{array}{c}
\boldsymbol{o}-\boldsymbol{T} \boldsymbol{s} \\
\boldsymbol{C H}_{3}-\boldsymbol{C H}_{2}-\boldsymbol{C} \boldsymbol{H}-\boldsymbol{C H}_{3}
\end{array}
\]
\( A \)
\[
\begin{array}{c}
\mathbf{o} \mathbf{H} \\
\mathbf{C H}_{3}-\mathbf{C H}_{2}-\mathbf{C} \mathbf{H}-\mathbf{C H}_{3} \text { and } \mathbf{C H}_{3}
\end{array}\langle\mathbf{O}\rangle-\mathbf{s} \mathbf{o}_{3} \mathbf{H}
\]
в.
\[
\begin{array}{c}
\mathrm{CH}_{3}-\mathrm{CH}_{2}-\mathrm{CH}-\mathrm{SO}_{3} \mathrm{H} \text { and } \mathrm{CH}_{3}\langle\mathrm{O}\rangle \text { of } \\
\mathrm{CH}_{3}
\end{array}
\]
\( c \)
\[
\mathrm{CH}_{3}-\mathrm{CH}_{2}-\mathrm{CH}=\mathrm{CH}_{2} \text { and } \mathrm{CH}_{3}\langle\mathrm{O}\rangle-\mathrm{so}_{3} \mathrm{H}
\]
D.
\[
\mathrm{CH}_{3}-\mathrm{CH}=\mathrm{CH}-\mathrm{CH}_{3} \text { and } \mathrm{CH}_{3}-\langle\mathrm{O}\rangle-\mathrm{so}_{3} \mathrm{H}
\]
Subject: Physics
The displacement of particle moving
along x-axis versus time is given in the
figure below

The average velocity, \( V_{a v} \) of the particle
in the first four seconds and the velocity
V of it at \( t=4 \) s are
\( (\mathbf{m}) \)
\( (\mathbf{m}) \)
A \( \cdot V_{a v}=-1 m / s, V=-1 m / s \)
В. \( V_{a v}=1 m / s, V=1 m / s \)
C \( \cdot V_{a v}=1 m / s, V=0 m / s \)
D. \( V_{a v}=-1 m / s, V=0 m / s \)
Subject: Maths
If the A.M. of the roots of a quadratic equation is \( \frac{8}{5} \) and \( A . M . \) of their reciprocals is \( \frac{8}{7}, \) then the quadratic equation is
A \( \cdot 5 x^{2}-8 x+7=0 \)
B. \( 5 x^{2}-16 x+7=0 \)
c. \( 7 x^{2}-16 x+5=0 \)
D. \( 7 x^{2}+16 x+5=0 \)
Subject: Maths
Simplify:
\( \operatorname{os} \theta \cdot\left[\begin{array}{cc}\cos \theta & \sin \theta \\ -\sin \theta & \cos \theta\end{array}\right]+ \)
\( \operatorname{in} \theta \cdot\left[\begin{array}{cc}\sin \theta & -\cos \theta \\ \cos \theta & \sin \theta\end{array}\right] \)
Subject: Physics
Enter 1 if true else 0 \( \frac{1}{\sqrt{3}}(\hat{i}+\hat{j}+\hat{k}) \) is the unit vector in the
direction of vector \( \overrightarrow{P Q} \)
where \( P \) and \( Q \) are the point (1,2,3)
and (4,5,6)
Subject: Chemistry
In cold water, bleaching powder ionises to form :
A. \( \mathrm{Ca}^{2+}, \mathrm{Cl}^{-} \) and \( \mathrm{OCl}^{-} \)
в. \( \mathrm{CaO}, \mathrm{Cl}^{-} \)
c. \( \mathrm{Ca}^{2+}, \mathrm{Cl}^{-} \) and \( \mathrm{ClO}_{3} \)
D. \( \mathrm{Ca}^{2+}, \mathrm{Cl}^{-} \) and \( \mathrm{ClO}_{2}^{-} \)
Subject: Chemistry
Condition for maximum yield of
\( \boldsymbol{C}_{2} \boldsymbol{H}_{5} \boldsymbol{C l} \) is:
A \( \cdot C_{2} H_{6}(\text { Excess })+C l_{2} \stackrel{\text { UVIight }}{\longrightarrow} \)
в. \( C_{2} H_{6}+C l_{2} \underset{R . T}{\longrightarrow} \)
c. \( C_{2} H_{6}+C l_{2}(\text { Excess }) \stackrel{\text { UVI lant }}{\longrightarrow} \)
D. \( C_{2} H_{6}+C l_{2} \underset{D a r k}{D a r k} \)
Subject: Chemistry
The most stable complex among the following is:
A \( \cdot_{K_{3}}\left[A l\left(C_{2} O_{4}\right)\right] \)
в. \( \left[P t(e n)_{2}\right] C l \)
c. \( \left[A g\left(N H_{3}\right)_{2}\right] C l \)
D \( \cdot K_{2}[N i(E D T A) \)
Subject: Physics
The relation between an ac voltage source and time in Sl units is \( V= \)
\( 120 \sin (100 \pi t) \cos (100 \pi t) V \)
The value of peak voltage and frequency will be respectively:
A. \( 120 \mathrm{V} \) and \( 100 \mathrm{Hz} \)
B. \( \frac{120}{\sqrt{2}} \mathrm{V} \) and \( 100 \mathrm{Hz} \)
c. \( 60 \mathrm{V} \) and \( 200 \mathrm{Hz} \)
D. \( 60 \mathrm{V} \) and \( 100 \mathrm{Hz} \)
Subject: Physics
A sliding rod \( A B \) of resistance \( R \) is shown in the figure. Here magnetic field \( B \) is constant and is Out of the
paper. Parallel wires have no resistance and the rod is moving with Constant velocity v. The current in the sliding rod AB in the function of \( t, \) when
switch \( \mathrm{S} \) is closed at time \( \mathrm{t}=0 \) is
\( ^{A} \cdot\left(\frac{v B d}{R}\right) e^{-t / c} \)
\( ^{\mathbf{B}} \cdot\left(\frac{v B d}{R}\right) e^{-t / R C} \)
\( ^{\mathrm{c}} \cdot\left(\frac{v B d}{R}\right) e^{R t C} \)
D. \( \left(\frac{v B d}{R}\right) e^{t / R C} \)
Subject: Biology
In Acacia species, the first few leaves are
pinnately compound. Then there are leaves with flattened petiole and fewer
pinnae. The leaves of adult plant has
parallel veined flattened petiole and no
pinnae. It shows that
A. Leaves of adult plant are reduced to phyllodes while those of the seedling are unreduced
B. The parallel-veined green structure of the adult plant are phylloclades
C. The plant shows developmental heterophylly, compound in seedling and simple in adult plant
D. The leaves of adult plant are unreduced while they are reduced in the seedling stage
Subject: Physics
Velocity of a bullet changes from \( u \) to \( v \) after passing through a board of thickness \( d \). Force of resistance is
directly proportional to the velocity. Time of motion of bullet in the board is
given by
A \( \frac{d(u-v)}{u v \log _{e} \frac{u}{v}} \)
\( ^{\mathrm{B}} \cdot \frac{d u}{v \log _{e} \frac{u}{v}} \)
\( ^{\mathbf{c}} \cdot \frac{d v}{u \log _{e} \frac{u}{v}} \)
D. \( \frac{d \log _{e} \frac{v}{u}}{v-u} \)
Subject: Maths
Which of the following is/are correct
regarding homogeneous differential
equation?
This question has multiple correct options
A. Represented in the form: \( M(x, y) d x-N(x, y) d y=0 \)
B. Represented in the form: \( M(x, y) d x+N(x, y) d y=0 \)
C. Both \( M(x, y), N(x, y) \) are homogeneous functions of the same degree
D. \( M(x, y), N(x, y) \) are homogeneous functions with different degrees
Subject: Maths
State whether the following statement is True or False?

In a circuit containing inductance \( L \)
resistance \( R \) and Voltage \( E \),the current in the circuit is given by \( L \frac{d i}{d t} R i=E \) The current \( i \) at time \( t \) is given by \( i= \) \( \frac{\boldsymbol{E}}{\boldsymbol{R}}\left(\mathbf{1}-\boldsymbol{e}^{-\boldsymbol{R} \boldsymbol{t} / \boldsymbol{L}}\right) \)
A . True
B. False
Subject: Physics
\( n \) identical cells each of electromotive
force \( e \) and internal resistance \( r \) are
connected in series of this combination
The current through \( V \) is:
A \( \cdot \frac{2 e}{n} \)
в. \( \frac{n e}{n R+r} \)
c. \( \frac{e}{R+n r} \)
D. \( \frac{n e}{R+r} \)
Subject: Maths
\( \int \frac{d x}{x^{2}+2 x+2}=f(x)+c \Longrightarrow f(x)= \)
A \( \cdot \tan ^{-1}(x+1) \)
B. \( 2 \tan ^{-1}(x+1) \)
c. \( -\tan ^{-1}(x+1) \)
D. \( 3 \tan ^{-1}(x+1) \)
Subject: Maths
If the perimeter of one face of a cube is
\( 20 \mathrm{cm}, \) then its surface area is
A \( \cdot 120 \mathrm{cm}^{2} \)
в. \( 150 \mathrm{cm}^{2} \)
\( \mathrm{c} \cdot 125 \mathrm{cm}^{2} \)
D. \( 400 \mathrm{cm}^{2} \)
Subject: Chemistry
Which of the following reactions are correctly represented? This question has multiple correct options
\( \mathbf{A} \)
\[
\mathrm{CH}_{3}-\mathrm{CH}_{2}-\mathrm{CH}=\mathrm{CH}_{2} \frac{(\mathrm{i}) \mathrm{D}^{+}}{(\mathrm{iij}) \mathrm{H}_{2} \mathrm{O}} \mathrm{CH}_{3}-\mathrm{CH}_{2}-\underset{\mathrm{OH}}{_{\mathrm{I}}}-\mathrm{CH}-\mathrm{CH}_{2} \mathrm{D}
\]
B.
\[
\mathrm{CH}_{3}-\mathrm{CH}_{2}-\mathrm{CH}=\mathrm{CH}_{2} \frac{(\mathrm{i}) \mathrm{H}^{+}}{(\mathrm{ii}) \mathrm{D}_{2} \mathrm{O}} \mathrm{CH}_{3}-\mathrm{CH}_{2}-\mathrm{CH}_{2}-\mathrm{CH}_{2} \mathrm{O}
\]
\( c \)
\[
\mathrm{CH}_{3}-\mathrm{CH}_{2}-\mathrm{CH}=\mathrm{CH}_{2} \frac{(\mathrm{i}) \mathrm{H}^{+}}{(\mathrm{ij}) \mathrm{H}_{2} \mathrm{O}} \mathrm{CH}_{3}-\mathrm{CH}_{2}-\mathrm{CH}_{2}-\mathrm{CH}_{2} \mathrm{O}
\]
D.
\[
\mathrm{CH}_{3}-\mathrm{CH}_{2}-\mathrm{CH}=\mathrm{CH}_{2} \frac{(\mathrm{i}) \mathrm{D}^{+}}{(\mathrm{ii}) \mathrm{D}_{2} \mathrm{O}} \mathrm{CH}_{3}-\mathrm{CH}_{2}-\underset{\mathrm{OD}}{_{1}}-\mathrm{CH}-\mathrm{CH}_{2} \mathrm{D}
\]
Subject: Maths
\( \boldsymbol{f}(\boldsymbol{x})=(\boldsymbol{x}-\mathbf{1})(\boldsymbol{x}-\mathbf{2})(\boldsymbol{x}-\boldsymbol{3}), \boldsymbol{x} \in[\mathbf{0}, \boldsymbol{4}] \)
find \( ^{\prime} c^{\prime} \) if \( L M V T \) can be applied.
Subject: Chemistry
For a reaction
\( 2 A+B \rightarrow C+D, \) the active mass of \( B \)
is kept constant but that of \( \boldsymbol{A} \) is tripled.
The rate of reaction will -
A. Decrease by 3 times
B. Increased by 9 times
C. Increase by 3 times
D. Unpredictable
Subject: Physics
The distance \( x \) covered by a particle
varies with time \( t \) as \( x^{2}=2 t^{2}+6 t+1 \)
Its acceleration varies with \( x \) as :
A . \( x \)
B . \( x^{2} \)
\( c \cdot x^{-1} \)
D. \( x^{-3} \)
E . \( x^{-2} \)
Subject: Maths
Let, coordinates of the two points \( A \& B \) be (1,2) and \( (7,5), \) respectively. The line
\( A B \) is rotated through \( 45^{\circ} \) in anticlockwise direction about the point of
trisection of \( \mathrm{AB} \) which is nearer to B. The
equation of the line in the new position is
A. \( 2 x-y-6=0 \)
в. \( x-y-1=0 \)
c. \( 3 x-y-11=0 \)
D. none of these
Subject: Chemistry
Write the formula for each of the
following complexes:
(a) hexamine cobalt (III) chloride
(b) potassium iron (III)
hexacyanoferrate (II)
(c) diamminedichloroplatinum (II)
(d) tetracarbonylnickel (0)
(e) triamminechlorocyanonitrocobalt
\( (\| I) \)
(f) lithium tetrahydridoaluminate (III)
(g) sodium bis (thisulphato)argentate
(1)
(h) nickel hexachloroplatinate (IV)
(i) tetraammineplayinum(II) amminetri chloroplatinate (II)
Subject: Maths
The equation of the latus rectum of the ellipse \( 9 x^{2}+4 y^{2}-18 x-8 y-23=0 \)
are
A \( . y=\pm \sqrt{5} \)
B \( \cdot y=-\sqrt{5} \)
c. \( y=1 \pm \sqrt{5} \)
D. \( y=-1 \pm \sqrt{5} \)
Subject: Chemistry
For the reaction at \( 298 K \)
\( \boldsymbol{A}(\boldsymbol{g})+\boldsymbol{B}(\boldsymbol{g}) \rightleftharpoons \boldsymbol{C}(\boldsymbol{g})+\boldsymbol{D}(\boldsymbol{g}) \)
\( \Delta H^{o}=29.8 k c a l ; \Delta S^{o}=0.1 k c a l / K \)
Calculate \( \Delta G^{o} \) and \( K \)
A. \( \Delta G^{o}=0 ; K=1 \)
В. \( \Delta G^{o}=1 ; K=e \)
c. \( \Delta G^{o}=2 ; K=e^{2} \)
D. None of these
Subject: Chemistry
The correct order of magnetic moments (spin only values in (B.M.) among the following is:
[Atomic numbers \( M n=25, F e=26, C o= \)
27]
\( \left.\mathbf{A} \cdot\left[\mathrm{MnCl}_{4}\right]^{2-}>\left[\mathrm{CoCl}_{4}\right]^{2-}>\mathrm{Fe}(\mathrm{CN})_{6}\right]^{4} \)
B . \( \left[\mathrm{MnCl}_{4}\right]^{2-}>\left[\mathrm{Fe}(\mathrm{CN})_{6}\right]^{4-}>\left[\mathrm{CoCl}_{4}\right]^{2} \)
C \( \cdot\left[\mathrm{Fe}(\mathrm{CN})_{6}\right]^{4-}>\left[\mathrm{MnCl}_{4}\right]^{2-}>\left[\mathrm{CoCl}_{4}\right]^{2} \)
D \cdot \( \left[\mathrm{Fe}(\mathrm{CN})_{6}\right]^{4-}>\left[\mathrm{CoCl}_{4}\right]^{2-}>\left[\mathrm{MnCl}_{4}\right]^{2-} \)
Subject: Physics
Results of calculations for four different
designs of a fusion reactor using D-D reaction are given below. Which of these is most promising based on Lawson criterion?
A. Deuteron density \( =2.0 \times 10^{12} \mathrm{cm}^{-3} \), confinement time
\( =5.0 \times 10^{-3} s \)
B. Deuteron density \( =8.0 \times 10^{14} \mathrm{cm}^{-3} \), confinement time \( =9.0 \times 10^{-1} s \)
C. Deuteron density \( =4.0 \times 10^{23} \mathrm{cm}^{-3} \), confinement time \( =1.0 \times 10^{-11} s \)
D. Deuteron density \( =1.0 \times 10^{24} \mathrm{cm}^{-3} \), confinement time
\[
=4.0 \times 10^{-12} s
\]
Subject: Chemistry
A photon of \( 300 \mathrm{nm} \) is observed by a gas and then re-emits two photons.one reemitted photon has wavelength \( 496 \mathrm{nm} \) the wavelength of second re-emitted photons is:
A. 759 nm
B. 857 nm
\( c .957 \mathrm{nm} \)
D. 657 nm
Subject: Chemistry
Write the common name and IUPACC
name for the following:
a) \( C H_{3} C H_{2} C H O \)
\( \boldsymbol{C H}_{3} \boldsymbol{C O C H}_{3} \)
c) \( \boldsymbol{C H}_{3}-\boldsymbol{C} \boldsymbol{H}-\boldsymbol{C H}_{3} \)
\[
_{\boldsymbol{O H}}
\]
\( \boldsymbol{C H}_{3} \boldsymbol{C O O H} \)
e) \( H C H O \)
Subject: Chemistry
Which of the following practices will not
come under green chemistry?
A. If possible, making use of soap made of vegetable oils instead of using synthetic detergents.
B. Using \( H_{2} O_{2} \) for bleaching purpose instead of using chlorine based bleaching agents.
C. Using bicycle for travelling small distances instead of using petrol/diesel based vehicles.
D. Using plastic cans for neatly storing substances.
Subject: Maths
\( \int_{0}^{\pi / 4} \tan ^{2} x d x= \)
A \( \cdot 1-\frac{\pi}{4} \)
B \( \cdot 1+\frac{\pi}{4} \)
c. \( \frac{-\pi}{4}-1 \)
D. \( \frac{\pi}{4}-1 \)
Subject: Chemistry
An experimental set up is shown in the figure. Identify the metal \( X \) and \( \operatorname{gas} Y \) respectively in the figure.
A \( \cdot \) zinc, \( H_{2} \) gas
B. Copper, \( C O_{2} \) gas
C. Aluminium, \( C O_{2} \) gas
D. Platinum, \( H_{2} \) gas
Subject: Physics
Assertion
Work done by friction depends upon
displacement of the body.
Reason
Frictional force is non-conservative.
A. Both Assertion and Reason are correct and Reason is
the correct explanation for Assertion
B. Both Assertion and Reason are correct but Reason is
not the correct explanation for Assertion
C. Assertion is correct but Reason is incorrect
D. Assertion is incorrect but Reason is correct
Subject: Physics
A man throws balls into the air one after
the other, throwing one when other is at the highest point. How high the balls rise if he throws twice a second?
A . \( 2.45 \mathrm{m} \)
B. 1.25m
c. \( 19.6 \mathrm{m} \)
D. \( 4.9 \mathrm{m} \)
Subject: Chemistry
\( 29.5 \mathrm{mg} \) of an organic compound containing nitrogen was digested according to Kjeldahl's method and the evolved ammonia was absorbed in 20
\( \mathrm{ml} \) of \( 0.1 \mathrm{M} \) HCl solution. The excess of
acid required \( 15 \mathrm{ml} \) of \( 0.1 \mathrm{M} \) NaOH solution for complete neutralisation. The percentage of nitrogen in the compound is:
A . 29.5
B. 59.0
c. 23.
D. 47.4
Subject: Physics
\( \sqrt{\mu_{0} \epsilon_{0}} \) has the dimensions
\( \mathbf{A} \cdot\left[M^{0} L T^{-1}\right] \)
В . \( \left[M^{0} L^{-1} T\right] \)
\( \mathbf{c} \cdot\left[M^{2} L^{3} T^{-1}\right] \)
D \cdot \( \left[M^{-1} L^{3} T^{-2}\right] \)
Subject: Maths
Lines \( \mathrm{PQ} \) and \( \mathrm{RS} \) intersect at \( \mathrm{O} \). If
\( \angle P O S=2 \angle S O Q, \) then the four angles
at 0 are:
A \( \cdot 30^{\circ}, 30^{\circ}, 120^{\circ}, 180^{\circ} \)
B . \( 60^{\circ}, 60^{\circ}, 120^{\circ}, 120^{\circ} \)
c. \( 60^{\circ}, 90^{\circ}, 90^{\circ}, 120^{\circ} \)
D. \( 30^{\circ}, 60^{\circ}, 90^{\circ}, 180^{\circ} \)
Subject: Physics
A black hole is an object whose
gravitational field is so strong that even light cannot escape from it. To what approximate radius would earth
\( \left(m a s s=5.98 \times 10^{24} k g\right) \) have to be
compressed to be a black hole?
\( A \cdot 10^{-9} m \)
B. \( 10^{-6} \mathrm{m} \)
\( c \cdot 10^{-2} m \)
D. \( 100 m \)
Subject: Physics
A body \( B \) is capable of remaining
stationary inside a liquid at the position shown in Fig.4.205 (a). If the whole system in gently placed on smooth inclined plane (Fig.4205 (b)) and is allowed to side down, then
\( \left(\boldsymbol{O}<\boldsymbol{\theta}<\boldsymbol{9 0}^{o}\right) \)
(a)
(b)
A. The body will move up (relative to liquid)
B. The body will move down (relative to liquid)
C. The body will remain stationary (relative to liquid)
D. The body will move up for some inclination \( \theta \) and will move down for another inclination \( \theta \)
Subject: Maths
If \( \vec{a}=\hat{i}+\hat{j}+\hat{k}, \vec{b}=\hat{i}+\hat{j}-\hat{k}, \vec{c}=\hat{i}- \)
\( \hat{j}+\hat{k} \) and \( \overrightarrow{\boldsymbol{d}}=\hat{\mathbf{i}}-\hat{\mathbf{j}}-\hat{\boldsymbol{k}}, \) then \( (\overrightarrow{\boldsymbol{a}} \times \overrightarrow{\boldsymbol{b}}) \times \)
\( (\vec{c} \times \vec{d})= \)
A . 0
B . \( 3 \hat{i}-5 \hat{j}+7 \hat{k} \)
c. \( 5 \hat{j}-8 \hat{k} \)
D. - \( -8 \hat{k} \)
Subject: Maths
A rectangular water-tank measuring
\( 80 \mathrm{cm} \times 60 \mathrm{cm} \times 60 \mathrm{cm} \) is filled from a
pipe of cross-sectional area \( 1.5 \mathrm{cm}^{2}, \) the water emerging at \( 3.2 \mathrm{m} / \mathrm{s} \). How long does it take to fill the tank?
A. 10 minutes
B. 15 minutes
c. 13 minutes
D. 12 minutes
Subject: Physics
An electric dipole has the magnitude of its charge as \( q \) and its dipole moment is
\( \boldsymbol{p} . \) It is placed in uniform electric field \( \boldsymbol{E} \) If its dipole moment is along the direction of the field, the force on it and
its potential energy are respectively
A. \( q . E \) and max
в. 2q.E and min
c. \( q . E \) and min
D. zero and min