AkshitPareek2004/jee-question-analyzer-data huggingface dataset:
Subject: Maths
Suppose, \( A=\frac{d y}{d x} \) of \( x^{2}+y^{2}=4 \) at \( (\sqrt{2}, \sqrt{2}), B=\frac{d y}{d x} \) of \( \sin y+\sin x= \)
\( \sin x \cdot \sin y \operatorname{at}(\pi, \pi) \) and \( C=\frac{d y}{d x} \) of
\( 2 e^{x y}+e^{x} e^{y}-e^{x}=e^{x y+1} \) at \( (1,1), \) then
\( (A-B-C) \) has the value equal to
A. \( \frac{1}{2} \)
в. \( \frac{1}{3} \)
c. 1
D. 2
Subject: Physics
Choose the correct answer from the
alternatives given. In order establish an instantaneous
displacement current of 1 mA in the space between the plates of \( 2 \mu F \) parallel plate capacitor. the rate of change of potential difference is:
A \( \cdot 100 \mathrm{V} 5^{-1} \)
B . \( 200 \mathrm{V} 5^{-1} \)
c. \( 300 V 5^{-1} \)
D. \( 500 \mathrm{V} 5^{-1} \)
Subject: Chemistry
topp
\( \mathrm{ClCH}_{2} \mathrm{CH}^{14} \mathrm{C} \mathrm{H}_{2} \mathrm{OC}_{2} \mathrm{H}_{5} \)
14
\( \mathrm{ClCH}_{2} \mathrm{CHCH}_{2} \mathrm{ONa} \)
\( \mathrm{OC}_{2} \mathrm{H}_{5} \)
\( \underbrace{14}_{\mathrm{CH}_{2}-\mathrm{CHCH}_{2} \mathrm{OC}_{2} \mathrm{H}_{5}} \)
\( \mathrm{C}_{\mathrm{O}}^{\mathrm{H}_{2}-} \mathrm{CHCH}_{2} \mathrm{OC}_{2} \mathrm{H}_{5} \)
Subject: Chemistry
Statement 1: Leaching is employed in the extraction of aluminium, silver and
gold. Statement 2: During leaching, the impurities in the ore are chemically removed by dissolving them in a suitable reagent.
A. Statement 1 and statement 2 are true and statement 2 is a correct explanation of statement 1
B. Statement 1 and statement 2 are true but statement 2 is not a correct explanation of statement 1
c. statement 1 is true and statement 2 is false.
D. Statement1 is false and statement 2 is true
Subject: Maths
\( \operatorname{Let} \alpha(a) \) and \( \beta(a) \) be the roots of the
equation \( (\sqrt[3]{1+a}-1) x^{2}+(\sqrt{1+a}- \)
1) \( x+(\sqrt[6]{1+a}-1)=0 \) where \( a>-1 \)
Then \( \lim _{a \rightarrow 0^{+}} \alpha(a) \) and \( \lim _{a \rightarrow 0^{+}} \beta(a) \) are
A \( \cdot-\frac{5}{2} \) and 1
B. \( -\frac{1}{2} \) and -1
\( c \cdot-\frac{7}{2} \) and 2
D. \( -\frac{9}{2} \) and 3
Subject: Physics
Find the emf and internal resistance of
the equivalent cell between \( A \) and \( B \). put
\[
\begin{array}{l}
\varepsilon_{1}=3 \mathrm{V}, r_{1}=2 \Omega \varepsilon_{2}=2 V, r_{2}=1 \Omega \\
\varepsilon_{3}=6 V, r_{3}=1 \Omega
\end{array}
\]
Subject: Chemistry
Which of the following reactions taking place in the blast furnace during extraction of iron is endothermic?
A \( \cdot C a C O_{3} \rightarrow C a O+C O_{2} \)
в. \( 2 C+O_{2} \rightarrow 2 C O \)
c. \( C+O_{2} \rightarrow C O_{2} \)
D. \( F e_{2} O_{3}+3 C O \rightarrow 2 F e+3 C O_{2} \)
Subject: Maths
If \( \boldsymbol{A} \times \boldsymbol{B}=\{(\boldsymbol{a}, \boldsymbol{x}),(\boldsymbol{a}, \boldsymbol{y}),(\boldsymbol{b}, \boldsymbol{x}),(\boldsymbol{b}, \boldsymbol{y})\} \)
Find \( A \) and \( B \)
Subject: Physics
The intensity of gamma radiation from
a given source is \( I . \) On passing through
\( 36 m m \) of lead, intensity is reduced to \( \frac{I}{8} . \) The thickness of lead which reduces the intensity to \( \frac{I}{2} \) is
\( \mathbf{A} \cdot 6 m m \)
B. \( 9 m m \)
\( c .18 m m \)
D. \( 12 \mathrm{mm} \)
Subject: Biology
Match the animals of Column I with
their respective classes in
Column II and choose the correct
answer.
0. Sr.No Column I Sr.No. Column II \( \begin{array}{llll}1 . & \text { Aptenodytes } & \text { I. } & \text { Aves } \\ \text { 2. } & \text { Hemidactylus } & \text { II. } & \text { Chondrich } \\ \text { 3. } & \text { Carcharodon } & \text { III. } & \text { Mammaliz } \\ \text { 4. } & \text { Pteropus } & \text { IV. } & \text { Reptilia } \\ & \text { V. } & \text { Osteichth }\end{array} \)
\( \mathbf{A} \cdot 1-V ; 2-I I ; 3-I V ; 4-I \)
B . \( 1-I ; 2-I V ; 3-I I I ; 4-I I \)
\( \mathbf{c} \cdot 1-V ; 2-I ; 3-I I ; 4-I I I \)
D. \( 1-I ; 2-I V ; 3-I I ; 4-I I I \)
Subject: Maths
Given inside a circle, whose radius is
equal to \( 13 \mathrm{cm}, \) is a point \( \mathrm{M} \) at a distance \( 5 \mathrm{cm} \) from the centre of the
circle. A chord \( A B=25 \mathrm{cm} \) is drawn
through M. The lengths of the segments into which the chord \( A B \) is divided by
the point \( M \) in \( C M \) are
A. 12,13
в. 14,11
c. 15,10
D. 16, 9
Subject: Physics
In the shown arrangement of the
experiment of the meter bridge if \( \boldsymbol{A C} \)
corresponding to null deflection of
galvanometer is \( x, \) what would be its
value if the radius of the wire \( A B \) is
doubled?
\( A \)
B. \( x / 4 \)
\( c \cdot 4 x \)
D. \( 2 x \)
Subject: Physics
There is an electric field \( \boldsymbol{E} \) in \( \boldsymbol{X} \)
=direction. If work done in moving a
charge \( 0.2 C \) through a distance of \( 2 m \)
along a line making an angle of 60 degree with \( X \) -axis is 4.0 joule, what
is the value of \( \boldsymbol{E} \) ?
A. \( \sqrt{3} \) newton per coulomb
B. 4 newton per coulomb
c. 5 newton per coulomb
D. None of these
Subject: Chemistry
A mixture of \( L i_{2} C O_{3} \) and \( K_{2} C O_{3} \) on
strong heating gave 0.25 mole of \( C O_{2} \)
The mole \( \% \) of \( L i_{2} C O_{3} \) and \( C O_{2} \) in the
mixture is :
\( \begin{array}{lll}\text { A } \cdot L i_{2} C O_{3}: 25 \% & K_{2} C O_{3}: 75 \%\end{array} \)
B . \( L i_{2} C O_{3}: 75 \% \quad K_{2} C O_{3}: 25 \% \)
\( \mathrm{c} \cdot L i_{2} C O_{3}: 60 \% \quad K_{2} C O_{3}: 40 \% \)
D. \( L i_{2} C O_{3}: 40 \% \quad K_{2} C O_{3}: 60 \% \)
Subject: Physics
The value of the current \( \boldsymbol{I}_{1}, \boldsymbol{I}_{2} \) and \( \boldsymbol{I}_{3} \)
flowing through the circuit given below
is?
A \( \cdot I_{1}=-3 A, I_{2}=2 A, I_{3}=-1 A \)
B . \( I_{1}=2 A, I_{2}=-3 A, I_{3}=-1 A \)
C \( . I_{1}=3 A, I_{2}=-1 A, I_{3}=-2 A \)
D \( \cdot I_{1}=1 A, I_{2}=-3 A, I_{3}=-2 A \)
E \( \cdot I_{1}=2 A, I_{2}=-1 A, I_{3}=-3 A \)
Subject: Maths
The arithmetic mean of the series
\( 1,2,2^{2}, \dots 2^{n-1} \) is
A \( \cdot \frac{2^{n}}{n} \)
B. \( \frac{\left(2^{n}-1\right)}{n} \)
\( ^{\mathrm{C}} \cdot \frac{\left(2^{n+1}\right)}{n} \)
D. None of these
Subject: Biology
Assertion
On plotting the length of the root against time, a linear curve is obtained.
Reason
An elongating root exemplifies arithmetic growth.
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
Earth receives \( 1400 W / m^{2} \) of solar
power. If all the solar energy falling on a
lens of area \( 0.2 m^{2} \) is focussed onto a
block of ice of mass 280 grams, the time taken to melt the ice will be
minutes.(Latent heat of
fusion of ice \( =\mathbf{3 . 3} \times \mathbf{1 0}^{\mathbf{5}} \mathrm{J} / \mathrm{kg} \) ).
A . 6.5
B. 5.
\( c \cdot 8 \)
D.
Subject: Maths
According to the property of A.P. If each term of a given A.P \( (1,2,3, \ldots) \) is divided by a non-zero constant \( t, \) then the resulting sequence will be
A. \( _{\text {A.P }}\left(\frac{1}{t^{\prime}}, \frac{2}{t^{\prime}}, \frac{3}{t} \ldots\right), \) with common difference \( \frac{1}{t} \)
B. G.P \( \left(\frac{1}{t}, \frac{2}{t}, \frac{3}{t} \ldots\right) \), with common difference \( \frac{1}{t} \)
C. \( _{\text {H.P }}\left(\frac{1}{t}, \frac{2}{t}, \frac{3}{t} \cdots\right) \), with common difference \( \frac{1}{t} \)
D. A.P \( (t, 2 t, 3 t \ldots), \) with common difference \( t \)
Subject: Maths
Find the coordinates of the point, which divides the line segment joining the points \( \boldsymbol{A}(\mathbf{2},-\mathbf{6}, \mathbf{8}) \) and \( \boldsymbol{B}(-\mathbf{1}, \mathbf{3},-\mathbf{4}) \)
externally in the ratio 1: 3
Subject: Chemistry
Which of the respective orders are
correct?
This question has multiple correct options
\( \mathbf{A} \cdot N H_{3}>S b H_{3}>A s H_{3}>P H_{3}: \) Thermal stability
order
B. Liquid hydrogen <liquid helium: boiling point order
\( \mathbf{c} \cdot B e C O_{3}>S r C O_{3}>B a C O_{3}: k_{p} \) value order during
their thermal dissociation in closed container
\( \mathrm{D} \cdot \mathrm{O}_{2}>\mathrm{K} \mathrm{O}_{2}>\mathrm{K}_{2} \mathrm{O}_{2}: \) Magnetic moment order
Subject: Physics
A particle of mass \( \mathrm{m} \) is tied to a string of length L. The free end of the string is fixed and the particle is whirled in a circular path. The speed of the particle increases from \( 5 \mathrm{m} / \mathrm{s} \) to \( 10 \mathrm{m} / \mathrm{s} \) for 5
secs. The motion is
A. Uniform circular motion
B. Non-uniform circular motion
c. Non uniformly accelerated motion
D. Non of these
Subject: Physics
The magnetic field of an electromagnetic wave is given by \( : \vec{B}= \)
\( \mathbf{1 . 6} \times \mathbf{1 0}^{-\mathbf{6}} \cos \left(\mathbf{2} \times \mathbf{1 0}^{\mathbf{7}} \boldsymbol{z}+\mathbf{6} \times\right. \)
\( \left.10^{15} t\right)(2 \hat{i}+\hat{j}) \frac{W b}{m^{2}} \) The associated
electric field will be :-
A \( \cdot \vec{E}=4.8 \times 10^{2} \cos \left(2 \times 10^{7} z+6 \times 10^{15} t\right)(\hat{i}-2 \hat{j}) \frac{V}{m} \)
B \( \cdot \vec{E}=4.8 \times 10^{2} \cos \left(2 \times 10^{7} z-6 \times 10^{15} t\right)(2 \hat{i}+\hat{j}) \frac{V}{m} \)
C・ \( \vec{E}=4.8 \times 10^{2} \cos \left(2 \times 10^{7} z-6 \times 10^{15} t\right)(-2 \hat{j}+\hat{i}) \frac{V}{m} \)
D・ \( \vec{E}=4.8 \times 10^{2} \cos \left(2 \times 10^{7} z+6 \times 10^{15} t\right)(-\hat{i}+2 \hat{j}) \frac{V}{m} \)
Subject: Chemistry
Four solutions \( A, B, C \) and \( D \) when
tested with universal indicator showed
\( \boldsymbol{p} \boldsymbol{H} \) as \( \mathbf{4}, \mathbf{1 1}, \mathbf{7} \) and \( \mathbf{9} \) respectively. Which
solution is weakly alkaline?
A . \( A \)
в. \( B \)
\( c . c \)
D. \( D \)
Subject: Chemistry
The specific conductance of saturated
solution of \( C a F_{2} \) is \( 3.86 \times 10^{-5} \) ohm
\( c m^{-1} \) and that of water used for
solution is \( 0.15 \times 10^{-5} \). The specific
conductance of \( C a F_{2} \) alone is:
A. \( 3.71 \times 10^{-5} \)
В. \( 4.01 \times 10^{-5} \)
c. \( 3.7 \times 10^{-4} \)
D . \( 3.86 \times 10^{-4} \)
Subject: Physics
A particle is thrown upwards from the ground. It experiences a constant resistance force which can produce
retardation \( 2 \frac{m}{s^{2}} . \) The ratio of time of
ascent to the time of descent is? \( [\boldsymbol{g}= \)
\( \left.\mathbf{1 0 m} / \boldsymbol{s}^{\mathbf{2}}\right] \)
A . 1:
B. \( \sqrt{\frac{2}{3}} \)
\( c \cdot \frac{2}{3} \)
D. \( \sqrt{\frac{3}{2}} \)
Subject: Maths
The table below shows the daily expenditure on food of 25 households in a locality.
Daily expenditure (in Rs.) \( \quad \) No. of households
\( 100-150 \)
150-200
200-250
250-300 2
300-350
Find the mean daily expenditure on food by a suitable method.
A . 211
B. 201
c. 215
D. 209
Subject: Maths
In triangle \( A B C \), the altitude from \( A \) to
\( B C \) meets \( B C \) at \( D \) and the altitude
from \( B \) to \( C A \) meets \( A D \) at \( H . \) If \( A D= \)
\( 4 \mathrm{cm}, B D=3 \mathrm{cm} \) and \( C D=2 \mathrm{cm} \) and
if \( \frac{A B}{B D}=\frac{A H}{H D}, \) then the length of \( H D \)
is
\( ^{\text {A } \cdot \frac{\sqrt{5}}{2} \mathrm{cm}} \)
в. \( \frac{3}{2} \mathrm{cm} \)
c. \( \sqrt{5} \mathrm{cm} \)
D. cn
Subject: Chemistry
\( \mathrm{Cl}, \mathrm{Br}, \mathrm{I} \) follows Dobereiner's triads, the atomic masses of \( \mathrm{Cl} \) and I are 35.5 and
127 respectively. The atomic mass of Br is :
A . 162.5
B. 91.5
c. 81.25
D. 45.625
Subject: Physics
A convex lens \( ^{\prime} L^{\prime} \) and a plane mirror
\( M^{\prime} \) are arranged as shown in figure
below. Position of object pin' \( \boldsymbol{O}^{\prime} \) is
adjusted in such a way that the inverted
image \( ^{\prime} I^{\prime} \) formed by the lens mirror combination, coincides with the object
pin ' \( O^{\prime} . \) Explain how and when this
happens:
Subject: Chemistry
The standard reduction potential of
\( A g^{+} \mid A g \) electrode is 0.80 volt.
Calculate the standard electrode
potential of \( \boldsymbol{C l}^{-}|\boldsymbol{A} \boldsymbol{g} \boldsymbol{C l}| \boldsymbol{A} \boldsymbol{g} \) at \( \boldsymbol{2} \boldsymbol{5}^{\circ} \boldsymbol{C} \)
Given solubility product, \( \boldsymbol{K}_{s p}(\boldsymbol{A} \boldsymbol{g} \boldsymbol{C l})= \)
\( 1.8 \times 10^{-10} \)
Subject: Physics
There is a series \( L-C-R \) circuit.An
alternating source of emf having voltage \( V=V_{0} \sin \omega t \) is applied between M and N Here \( \boldsymbol{V}_{M}-\boldsymbol{V}_{N}=\boldsymbol{V}_{0} \sin \omega \boldsymbol{t} \) and \( \frac{\mathbf{1}}{\boldsymbol{\omega} \boldsymbol{C}}- \)
\( \omega L=R \)
A \( \cdot \theta=\frac{\pi}{2} \)
в. \( \theta=0 \)
c. \( \theta=\frac{\pi}{4} \)
D. \( \theta=\pi \)
Subject: Maths
The resultant of two forces \( P \) and \( Q \)
acting at an angle a is equal to \( (2 m+1) \sqrt{P^{2}+Q^{2}} . \) When the forces
act at an angle \( (90-\alpha), \) the resultant
is \( (2 m-1) \sqrt{P^{2}+Q^{2}} . \) Then value of
tan\alpha is:
Subject: Maths
Let
\( \boldsymbol{f}(\boldsymbol{x}, \boldsymbol{y})=\left|\begin{array}{lll}\boldsymbol{y}-\boldsymbol{x}^{2} & \boldsymbol{x}-\boldsymbol{y}^{2} & \boldsymbol{x} \boldsymbol{y}-\mathbf{1} \\ \boldsymbol{x}-\boldsymbol{y}^{2} & \boldsymbol{x} \boldsymbol{y}-\mathbf{1} & \boldsymbol{y}-\boldsymbol{x}^{2} \\ \boldsymbol{x} \boldsymbol{y}-\mathbf{1} & \boldsymbol{y}-\boldsymbol{x}^{2} & \boldsymbol{x}-\boldsymbol{y}^{2}\end{array}\right| \)
find \( \boldsymbol{f}(\boldsymbol{2}, \boldsymbol{2}) \)
Subject: Maths
If \( \vec{a} \) and \( \vec{b} \) are mutually perpendicular unit vectors, then \( (3 \vec{a}+2 \vec{b}) \cdot(5 \vec{a}- \)
\( \mathbf{6} \overrightarrow{\boldsymbol{b}})=? \)
\( \mathbf{A} \cdot \mathbf{5} \)
B. 3
\( c \cdot 6 \)
D. 12
Subject: Maths
If \( \boldsymbol{\pi}=\mathbf{1 8 0}^{\circ} \) and \( \boldsymbol{A}=\frac{\boldsymbol{\pi}}{\boldsymbol{6}}, \) prove that
\( \frac{(1-\cos A)(1+\cos A)}{(1-\sin A)(1+\sin A)}=\frac{1}{3} \)
Subject: Maths
The area bounded by the curve \( y= \)
\( f(x), \) above the \( x \) -axis, between \( x=a \)
and \( \boldsymbol{x}=\boldsymbol{b} \) is:
\( ^{\mathrm{A}} \cdot \int_{f(a)}^{b} y d y \)
B. \( \int_{a}^{f(b)} x d x \)
\( ^{c} \cdot \int_{a}^{b} x d y \)
D. \( \int_{a}^{b} y d x \)
Subject: Maths
Let \( a_{1}, a_{2}, a_{3}, \dots \) be terms of an A.P. If \( \frac{\boldsymbol{a}_{1}+\boldsymbol{a}_{2}+\ldots . .+\boldsymbol{a}_{p}}{\boldsymbol{a}_{1}+\boldsymbol{a}_{2}+\ldots . .+\boldsymbol{a}_{\boldsymbol{q}}}=\frac{\boldsymbol{p}^{2}}{\boldsymbol{q}^{2}}, \boldsymbol{p} \neq \boldsymbol{q}, \) then
\( \frac{u_{6}}{2} \) equals
Subject: Maths
In the fig; we have \( X \) and \( Y \) as the mid-
points of \( A C \) and \( B C \) and \( A X=C Y \)
Then,
This question has multiple correct options
A. \( A C=B C \)
В. \( A C=A B \)
\( \mathbf{c} . A B=B C \)
\( \mathrm{D} \cdot C X=C Y \)
Subject: Maths
Distance of the point (2,5) from the line
\( \mathbf{3} \boldsymbol{x}+\boldsymbol{y}+\mathbf{4}=\mathbf{0} \) measured parallel to
the line \( 3 x-4 y+8=0 \) is
A \( \cdot \frac{15}{2} \)
B. \( \frac{9}{2} \)
c. 5
D. None of the above
Subject: Physics
A stream of electrons enters an
electrical field normal to the lines of force with a velocity of \( 3 \times 10^{7} m / s \). The
electric intensity is \( 1800 v / m \) While traveling through a distance of 10
\( c m, \) the electron beam is deflected by 2
mm. Then \( e / m \) value in coulomb per \( \mathrm{kg} \) is
A \( \cdot 2 \times 10^{10} \)
B. \( 2 \times 10^{7} \)
\( c \cdot 2 \times 10^{11} \)
D. \( 2 \times 10^{4} \)
Subject: Maths
Evaluate \( \boldsymbol{S}=\mathbf{1}+\frac{\mathbf{4}}{\mathbf{5}}+\frac{\mathbf{7}}{\mathbf{5}^{2}}+\frac{\mathbf{1 0}}{\mathbf{5}^{3}}+\dots \dots \)
to infinite terms. Find \( 16 S \)
Subject: Physics
A speaker emits a sound wave of
frequency \( f_{0} . \) When it moves towards a stationary observer with speed \( u \). The
observer measures a frequency \( f_{1} \). If the
speaker is stationary, and the observer
moves towards it with speed \( u, \) the
measured frequency is \( f_{2} \). Then
A \( \cdot f_{1}=f_{2}<f_{0} \)
в. \( f_{1}>f_{2} \)
c. \( f_{1}<f_{2} \)
D. \( f_{1}=f_{2}>f_{0} \)
Subject: Maths
Solve the following pair of equations by cross multiplication rule.
\( \frac{x}{a}+\frac{y}{b}=0, \frac{x}{a}-\frac{y}{b}=4 \)
A. \( x=2 a, y=-2 b \)
в. \( x=-3 a, y=-b \)
c. \( x=a, y=2 b \)
D. None of these
Subject: Chemistry
Assertion: The \( O-O \) bond length in
\( H_{2} O_{2} \) is shorter than that of \( O_{2} F_{2} \)
Reason: \( \boldsymbol{H}_{2} \boldsymbol{O}_{2} \) is an ionic compound
A. If both assertion and reason are true and the reason is a correct explanation of the assertion
B. If both assertion and reason are true but reason is not a correct explanation of the assertion
c. If the assertion is true but reason is false
D. If both the assertion and reason are false
E. If the assertion is false but the reason is true
Subject: Physics
are connected on the top by a capacitor
C. A sliding conductor AB of length L
slides with its ends in contact with the
bars. The arrangement is placed in a uniform horizontal magnetic field
directed normal to the plane of the
figure. The conductor is released from
rest. The displacement \( (x) \) in meter of
the conductor at time \( t=2 \) sec is:
\( \left(\text { Given } \boldsymbol{m}=\mathbf{1 0 0} \boldsymbol{g} \boldsymbol{m}, \boldsymbol{g}=\mathbf{1 0 m} / \boldsymbol{s}^{2}, \boldsymbol{B}=\right. \)
100Tesla, \( \boldsymbol{L}=\mathbf{1} \boldsymbol{m}, \boldsymbol{a} \boldsymbol{n} \boldsymbol{d} \boldsymbol{C}=\mathbf{1 0} \boldsymbol{\mu} \boldsymbol{F}) \)
A . 10
B. 14
\( c \cdot 7 \)
\( D \)
Subject: Physics
A car falls off a bridge and drops to the
ground in \( 0.5 s . \) Let \( g=10 m / s^{2}, \) what is its speed on striking the ground?
A. \( 5 m / s \)
в. \( 10 m / s \)
\( \mathbf{c} \cdot 15 m / s \)
D. \( 20 \mathrm{m} / \mathrm{s} \)
Subject: Chemistry
Main constituents of coal gas are
A. \( H_{2} O, C_{2} H_{6}, O_{2} \)
в. \( C H_{4}, C O_{2}, O_{2} \)
\( \mathrm{c} \cdot C H_{4}, H_{2}, C O \)
D. \( C_{2} H_{6}, N_{2}, O_{2} \)
Subject: Physics
A horizontal wire \( 0.1 \mathrm{m} \) long carries a current of 5 A. Find the magnitude of the magnetic field, which can support the weight of the wire. Assume wire to be of \( \operatorname{mass} 3 \times 10^{-3} k g m^{-1}: \)
A \( .5 .88 \times 10^{-2} T \)
B . \( 4.88 \times 10^{-3} T \)
\( \mathbf{c} .5 .88 \times 10^{-3} T \)
D. \( 5.88 \times 10^{-4} T \)
Subject: Chemistry
The reduction of acetamide gives:
A. \( C H_{3} C H_{2} N H_{2} \)
в. \( \left(C H_{3}\right)_{2} C H N H_{2} \)
\( \mathbf{c} \cdot\left(C H_{3}\right)_{3} C N H_{2} \)
D. \( \left(C H_{3} C H_{2}\right)_{2} N H \)
Subject: Chemistry
Effective nuclear charge \( \left(Z^{*}\right) \) can be
calculated by using the formula:
\( \mathbf{A} \cdot Z^{*}=Z-S \)
B . \( Z^{*}=Z+S \)
c. \( Z^{*}=S-Z \)
D. \( Z=Z^{*}-S \)
Subject: Physics
Choose the correct alternatives.
This question has multiple correct options
A. For a general rotational motion, angular momentum \( L \) and angular velocity \( \omega \) need not be parallel
B. For a rotational motion about a fixed axis, angular momentum \( L \) and angular velocity \( \omega \) are always parallel
C. For a general translational motion, momentum \( p \) and velocity \( v \) are always parallel
D. For a general translational motion, acceleration \( a \) and velocity \( v \) are always parallel
Subject: Chemistry
Which one of the following reactions of xenon compounds is not feasible?
A \( \cdot 3 X e F_{4}+6 H_{2} O \longrightarrow 2 X e+X e O_{3}+12 H F+1.5 O_{2} \)
B . \( 2 X e F_{2}+2 H_{2} O \rightarrow 2 X e+4 H F+O_{2} \)
\( \mathbf{c} \cdot_{X e F_{6}+R b F} \rightarrow R b\left[X e F_{7}\right] \)
D. \( X e O_{3}+6 H F \rightarrow X e F_{6}+3 H_{2} O \)
Subject: Maths
If \( \vec{a}=\hat{i}+\hat{j}+\hat{k}, \vec{b}=4 \hat{i}+3 \hat{j}+4 \hat{k} \) and
\( \vec{c}=\hat{i}+\alpha \hat{j}+\beta \hat{k} \) are linearly dependent
vectors and \( |\vec{c}|=\sqrt{3}, \) then
A. \( \alpha=1, \beta=-1 \)
1
в. \( \alpha=1, \beta=\pm 1 \)
c. \( \alpha=-1, \beta=\pm 1 \)
D. \( \alpha=\pm 1, \beta=1 \)
Subject: Physics
The velocity of the liquid coming out of a small hole of a vessel containing two
different liquid of densities \( 2 \rho \) and \( \rho \)
shown in the figure is
A \( \cdot \sqrt{6 g h} \)
B. \( 2 \sqrt{g h} \)
\( c \cdot 2 \sqrt{2 g h} \)
\( D \cdot \sqrt{g h} \)
Subject: Chemistry
f \( \boldsymbol{O} \boldsymbol{x}_{\mathbf{1}}+\boldsymbol{a} \boldsymbol{e}^{-} \rightleftharpoons \boldsymbol{R} e \boldsymbol{d}_{1}, \quad \boldsymbol{E}_{1}^{\boldsymbol{o}} \)
\( \boldsymbol{O} \boldsymbol{x}_{2}+\boldsymbol{b} \boldsymbol{e}^{-} \rightleftharpoons \boldsymbol{R} e d_{2}, \quad \boldsymbol{E}_{2}^{o} \)
The potential at the equivalence point is :
A. \( _{E}=\frac{a E_{1}^{o}+b E_{2}^{o}}{(a+b)} \)
B. \( \quad E=\frac{a E_{1}^{o}-b E_{2}^{o}}{(a+b)} \)
c. \( _{E=\frac{b E_{1}^{o}-a E_{2}^{\circ}}{(a+b)}} \)
D. \( \quad E=\frac{a E_{1}^{o}-b E_{2}^{o}}{(a-b)} \)
Subject: Physics
A particle stars from rest covers a distance of x with constant acceleration
then move with constant velocity and
cover distance \( 2 x \) then after come to
rest will constant retardation with cover
distance of \( 3 x, \) then ratio of \( V_{\max } / V_{\text {avg }} \)
will be
\( A \cdot 3: 5 \)
B. 5: 3
c. 7:
D. 5:
Subject: Biology
Sandeep has three soil samples \( X, Y \) and \( Z \), each with weight 50 g. 100 mL of water is poured drop by drop with the
help of a dropper on all the soil samples. The given graph shows weight of water
absorbed by each soil samples. Select the correct option regarding the soil samples.
A. \( x \) is a mixture of sand, silt and a good amount of clay.
B. \( Y \) is a mixture of sand, silt and appropriate amount of clay.
C. \( z \) is a sandy soil with very little clay.
D. \( z \) is a mixture of clay and slit with higher amount of sand
Subject: Chemistry
Give IUPAC name of :
A .2 -cyano-5-methyl hept- 3 -enal
B. 2 -formy- 5 -methyl hept-3-enenitrile
C. 2 -oxo-5-methyl hept- - 3 -ene-1-nitrile
D. 1 -cyano-1-formyl-4-methyl hex-2-ene
Subject: Maths
\( \mathbf{f} \boldsymbol{I}=\int \sin ^{-1}\left(\frac{\mathbf{2} \boldsymbol{x}+\mathbf{2}}{\sqrt{\mathbf{4} \boldsymbol{x}^{2}+\mathbf{8} \boldsymbol{x}+\mathbf{1 3}}}\right) \boldsymbol{d} \boldsymbol{x}= \)
\( (x+1) \tan ^{-1} \frac{2 x+2}{3}-\frac{A}{248} \log \left(4 x^{2}+\right. \)
\( 8 x+13)+C \) then \( A \) is equal to.
Subject: Physics
A solenoid has 2000 turns wound over a
length of \( 0.3 m . \) The area of its cross section is \( 1.2 \times 10^{-3} m^{2} . \) Around its
cross section a coil of 300 turns is
wound. If an initial current of \( 2 A \) is
reversed in \( 0.25 s, \) the emf induced in
the coil is equal to
A \( \cdot 6 \times 10^{-4} V \)
В. \( 4.8 \times 10^{-2} V \)
c. \( 2.4 \times 10^{-2} V \)
D. \( 48 k V \)
Subject: Chemistry
\( (\Delta H-\Delta U) \) for the formation of
carbon monoxide \( (C O) \) from its
element at \( 298 K \) is:
\( \left(\boldsymbol{R}=\mathbf{8 . 3 1 4} \boldsymbol{J} \boldsymbol{K}^{-1} \boldsymbol{m o l}^{-1}\right) \)
A \( .-1238.78 \mathrm{Jmol}^{-1} \)
B . \( 1238.78 \mathrm{Jmol}^{-1} \)
c. \( -2477.57 \mathrm{Jmol}^{-1} \)
D. \( 2477.57 \mathrm{Jmol}^{-1} \)
Subject: Physics
Assertion
Linear momentum of a body changes even when it is moving uniformly in a
circle.
Reason
In uniform circular motion velocity
remains constant.
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 \( 0.01 m \) aqueous solution of
\( \boldsymbol{K}_{3}\left[\boldsymbol{F} \boldsymbol{e}(\boldsymbol{C} \boldsymbol{N})_{6}\right] \) freezes \( \mathbf{a t}-\mathbf{0 . 0 6 2}^{\circ} \boldsymbol{C} \)
What is the apparent percentage of
dissociation? \( \left[\boldsymbol{K}_{f} \text { for water }=\mathbf{1 . 8 6}\right] \)
[Note : write the value to the nearest integer