AkshitPareek2004/jee-question-analyzer-data huggingface dataset:
Subject: Maths
If \( y=e^{\sqrt{x}}+e^{-\sqrt{x}}, \) then \( \frac{d y}{d x} \) is equal
to
This question has multiple correct options
\( \overbrace{\frac{e^{\sqrt{x}}-e^{-\sqrt{x}}}{2 \sqrt{x}}} \)
\( ^{\text {В } \cdot} \frac{e^{\sqrt{x}}-e^{-\sqrt{x}}}{2 x} \)
c. \( \frac{1}{2 \sqrt{x}} \sqrt{y^{2}-4} \)
D. \( \frac{1}{2 \sqrt{x}} \sqrt{y^{2}+4} \)
Subject: Physics
A flat coil, \( C, \) of \( n \) turns, area \( A \) and
resisitance \( R \) is placed in a uniform
magnetic field of magnitude B. The plane of the coil is initially perpendicular to B. If the coil is rotated by an angle about the axis \( \mathrm{XY} \), charge of amount Q flows through it. if the coil rotates about XY with a constant
angular velocity \( \omega, \) the emf induced in
¡t.
This question has multiple correct options
A. is zero
B. changes nonlinearly with time
c. has a constant value \( =\mathrm{BAn} \omega \)
D. has a maximum value \( = \) BAn
Subject: Chemistry
The pressure outside a jet plane flying at high altitude falls considerably below atmospheric pressure at sea level. The air inside the cabin must therefore be
pressurized to protect the passengers. What is the pressure(in atmosphere) in the cabin if the barometer reading is
\( 688 \mathrm{mm} \) of Hg?
A. 0.905 atm
B. 6.88 atm
c. 9.05 atm
D. Data, insufficient
Subject: Maths
If \( f(x)=\frac{\log \left(e^{x^{2}}+2 \sqrt{x}\right)}{\tan \sqrt{x}}, x \neq 0, \) then
the value of \( f(0) \) so that \( f \) is
continuous at \( x=0 \) is
A \( \cdot \frac{1}{2} \)
B. \( \sqrt{2} \)
\( c \cdot 2 \)
D. \( \frac{1}{\sqrt{2}} \)
Subject: Chemistry
Two reactions
(i) \( \boldsymbol{A} \rightarrow \) products
\( B \rightarrow \) products, follow first order
kinetics. The rate of the reaction (i) is
doubled when the temperature is raised from \( 300 \mathrm{K} \) to \( 310 \mathrm{K} \). The half life for this
reaction at \( 310 \mathrm{K} \) is 30 minutes. At the
same temperature B decomposes twice as fast as A. If the energy of activation for the reaction (ii) is half that of
reaction (i), calculate the rate constant
of the reaction (ii) at \( 300 \mathrm{K} \)
A. \( k=0.0327 \min ^{-1} \)
В. \( k=0.327 \mathrm{min}^{-1} \)
c. \( k=3.27 \mathrm{min}^{-1} \)
D. \( k=32.7 \) min \( ^{-1} \)
Subject: Physics
If the whole bi-prism experiment is immersed in water then the fringe width becomes, if the refractive indices
of bi-prism material and water are 1.5 and 1.33 respectively,
A. 3 times
B. \( \frac{3}{4} \) times
c. \( \frac{4}{3} \) times
D. \( \frac{1}{3} \) times
Subject: Physics
A tank containing water has an orifice on one vertical wall. If the centre of the
orifice is \( 4.9 \mathrm{m} \) below the surface of
water in the tank, the velocity of discharge is:
A. \( 0.98 \mathrm{m} / \mathrm{s} \)
в. \( 9.8 \mathrm{m} / \mathrm{s} \)
\( c \cdot 98 m / s \)
D. \( 9.8 \mathrm{cm} / \mathrm{s} \)
Subject: Chemistry
The reactivity of \( \mathrm{Cu}, \mathrm{Ag} \) and \( \mathrm{Au} \) decreases in the order:
A. \( C u>A g>A u \)
в. \( A u>A g>C u \)
c. \( A g>A u>C u \)
D. \( A g>C u>A u \)
Subject: Chemistry
If the ionization energy of hydrogen is
\( 313.8 K c a l / \) mol, then the energy of
electron in \( 2^{n d} \) excited state will be:
A . \$\$-113.2K |cal/mole\$\$
B. \$\$-78.45Klcal/mole\$\$
c. \( \$ \$-313.8 \) lcal/moless
D. none of these
Subject: Physics
The speed of boat is \( 5 \mathrm{Km} / \mathrm{h} \) in still water. It crosses a river of width \( 1 \mathrm{Km} \) along shortest possible path in 15 min. The velocity of river water is
\( A \cdot 1 K m / h \)
в. 3 Кт/А
\( c .4 \mathrm{km} / \mathrm{h} \)
D. \( 5 \mathrm{Km} / \mathrm{h} \)
Subject: Physics
Young's modulus of rubber is \( 10^{4} \mathrm{N} / m^{2} \)
and area of cross-section is \( 2 \mathrm{cm}^{2} \). If
force of \( 2 \times 10^{5} \) dyne is applied along
its length, then its final length becomes.
A . \( 3 L \)
B. \( 4 L \)
\( c \cdot 2 L \)
D. None of these
Subject: Physics
To what depth must a rubber ball be taken in deep sea so that its volume is
decreased by \( 0.1 \% \) (Take density of sea water \( 10^{3} k g \quad m^{-3} \)
bulk modulus of rubber \( =9 \times \)
\( \mathbf{1 0}^{8} \mathbf{N m}^{-\mathbf{2}}, \boldsymbol{g}=\mathbf{1 0 m} \boldsymbol{s}^{-\mathbf{2}} \mathbf{)} \)
\( A .9 m \)
в. 18 т
\( \mathrm{c} .90 \mathrm{m} \)
D. \( 180 m \)
Subject: Physics
A man throws a ball at height of \( 10 \mathrm{m} \) at
an angle of \( 35^{\circ} \) from horizontal. If mass
of ball is \( 0.5 \mathrm{kg} \) and its initial speed is \( 30 \mathrm{m} / \mathrm{s} \)
\( \boldsymbol{g}=-\mathbf{9 . 8} \frac{\boldsymbol{m}}{s^{2}} \)
How long is the ball in the air?
A . \( 2.26 s \)
B. 4.02s
\( c \cdot 1.76 s \)
D. 5.05s
E. 1.12 s
Subject: Physics
Q Type your question
infinitely long wire carrying a constant
current \( I . \) The sides \( P Q \) and \( R S \) are
parallel to the wire. The wire and the
loop are in the same plane. The loop is
rotated by \( 180^{\circ} \) about an axis parallel to
the long wire and passing through the
mid-points of the sides \( Q R \) and \( P S . \) The
total amount of charge which passes through any point of the loop during
rotation is
A \( \cdot \frac{\mu_{0} I a}{2 \pi r} \ln 2 \)
B. \( \frac{\mu_{0} I a}{\pi r} \ln 2 \)
c. \( \frac{\mu_{0} I a^{2}}{2 \pi r} \ln 2 \)
D. cannot be found because time of rotation is not given
E. answer required
Subject: Physics
Assertion
In a meter bridge experiment, null point for an unknown resistance is put inside
an enclosure maintained at a higher temperature. The null point can be obtained at the same point as before by decreasing the value of the standard resistance.
Reason Resistance of metal increases with
increase in temperature.
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 diode having potential difference \( 0.5 V \) across its junction which does not depend on current, is connected in
series with resistance of \( 20 \Omega \) across
source. If \( 0.1 A \) current passes through
resistance then what is the voltage of the source?
A. \( 1.5 V \)
в. \( 2.0 V \)
\( \mathrm{c} .2 .5 \mathrm{V} \)
D. \( 5 V \)
Subject: Physics
A long straight wire along the z-axis carries a current lin the negative z direction. The magnetic vector field \( \bar{B} \) at a point having coordinates \( (x, y) \) in the z=0 plane is:
A \( \cdot \frac{\mu_{0} I(y \hat{i}-x \hat{j})}{2 \pi\left(x^{2}+y^{2}\right)} \)
B. \( \frac{\mu_{0} I(x \hat{i}-y \hat{j})}{2 \pi\left(x^{2}+y^{2}\right)} \)
c. \( \frac{\mu_{0} I(x \hat{j}-y \hat{i})}{4 \pi\left(x^{2}+y^{2}\right)} \)
D. \( \frac{\mu_{0} I(x \hat{i}-y \hat{j})}{4 \pi\left(x^{2}+y^{2}\right)} \)
Subject: Biology
Column \( \mathbf{A} \) \( - \) Column B
(A) Third trophic level
(p) Ozone
(B) Accumulation of pesticides at higher trophic
(q) CFCs level
(C) Green plants
(r) Herbivore
(D) Flow of energy in an ecosystem
of
(E) Consists of 3 atoms
(t) Decomposers oxygen
nof
(F) Main cause of depletion
(u) Producers ozone layer
(G) Second trophic level
(v) Unidirectional
(H) Break-down of dead
(w) Carnivores organic compounds If
Subject: Physics
Assertion
When radius of a circular loop carrying current is doubled, its magnetic moment becomes four times.
Reason
Magnetic moment depends on the area of the loop.
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
Moment of inertia of a solid about its geometrical axis is given by \( l=\frac{2}{5} M R^{2} \)
where \( M \) is mass \( \& R \) is radius. Find
out the rate by which its moment of inertia is changing keeping density constant at the moment \( \boldsymbol{R}= \)
\( \mathbf{1} \boldsymbol{m}, \boldsymbol{M}=\mathbf{1} \boldsymbol{k} \boldsymbol{g} \) \& rate of change of
radius w.r.t. time \( 2 m s^{-1} \)
A. \( 4 \mathrm{kg} \mathrm{ms}^{-1} \)
B. 2 \( k g m^{2} s^{-1} \)
c. \( 4 \mathrm{kg} \mathrm{m}^{2} \mathrm{s}^{-1} \)
D. None of these
Subject: Maths
The equation of the circle and its chord are respectively \( x^{2}+y^{2}=a^{2} \) are
\( x \cos \alpha+y \sin \alpha=p . \) The equation of
the circle of which this chord
is diameter is
A \( \cdot x^{2}+y^{2}-2 p x \cos \alpha-2 p y \sin \alpha+2 p^{2}-a^{2}=0 \)
B . \( x^{2}+y^{2}-2 p x \cos \alpha-2 p y \sin \alpha+p^{2}-a^{2}=0 \)
C \( \cdot x^{2}+y^{2}-2 p x \cos \alpha+2 p y \sin \alpha+2 p^{2}-a^{2}=0 \)
D. None of these
Subject: Physics
A body having 1680 J of energy is supplied to 1000 g of water. If the entire amount of energy is converted into heat, the rise in temperature of water (sp.
heat of water \( \left.=4200 J k g^{-1 o} C^{-1}\right) \)
\( \mathbf{A} \cdot 0.4^{\circ} C \)
В . \( 40^{\circ} \mathrm{C} \)
\( \mathbf{c} \cdot 4^{\circ} C \)
D. \( 44^{\circ} \mathrm{C} \)
Subject: Physics
A hot body, obeying Newton's law of cooling is cooling down from its peak
value \( 80^{\circ} C \) to \( 40^{\circ} C . \) How much time
will it take to cool down from \( 62^{\circ} \mathrm{C} \) to
\( \mathbf{3} \mathbf{2}^{o} \mathbf{C} ?(\operatorname{given} \ln \mathbf{2}=\mathbf{0 . 6 9 3}, \ln \mathbf{5}=\mathbf{1 . 6 0 9} \)
A. 8.6 minutes
B. 6.5 minutes
c. 9.6 minutes
D. 3.75 minutes
Subject: Physics
An unknown metal of mass 192 g heated
to a temperature of \( 100^{\circ} \mathrm{cwas} \) immersed into a brass calorimeter of mass \( 128 g \) containing 240 g of water a temperature of \( 8.4^{\circ} \mathrm{C} \) calculate the specific heat of the unknown metal if
water temperature stabilizes at \( 21.5^{\circ} c \)
(specific heat of brass is \( 394 j K g^{-1} k^{-1} \)
A . 1232 J \( k g^{-1} K^{-1} \)
B . 458 J \( k g^{-1} K^{-1} \)
c. 654 J \( k g^{-1} K^{-1} \)
D. 916 J \( k g^{-1} K^{-1} \)
Subject: Maths
ff \( y=e^{x}(\sin x+\cos x), \) then prove that
\( \frac{\boldsymbol{d}^{2} \boldsymbol{y}}{\boldsymbol{d} \boldsymbol{x}^{2}}-\boldsymbol{2} \frac{\boldsymbol{d} \boldsymbol{y}}{\boldsymbol{d} \boldsymbol{x}}+\boldsymbol{2} \boldsymbol{y}=\mathbf{0} \)
Subject: Chemistry
Consider the following molecules:
(।) \( \boldsymbol{H}_{2} \boldsymbol{O} \)
\( (\|) \boldsymbol{H}_{2} \boldsymbol{S} \)
\( (\| I) \boldsymbol{H}_{2} \boldsymbol{S} \boldsymbol{e} \)
\( (\mid V) H_{2} T e \)
Arrange these molecules in increasing order of bond angle.
A. \( I<I I<I I I<I V \)
в. \( I V<I I I<I I<I \)
c. \( I<I I<I V<I I I \)
D. \( I I<I V<I I I<I \)
Subject: Physics
Let \( V \) and \( E \) denote the gravitational
potential and gravitational field at a point. It is possible to have
A \( . V=0 \) and \( E=0 \)
B. \( V=0 \) and \( E \neq 0 \)
c. \( V \neq 0 \) and \( E=0 \)
D. All of the above
Subject: Chemistry
In the given reaction, (A) is:
is
A. \( C H_{3} C H O \)
в. \( C H_{3} C H_{2} \) ОН
c. \( C H_{2}=C H_{2} \)
D.
\[
\begin{array}{l}
C H_{2}-O H \\
C H_{2}-O H
\end{array}
\]
Subject: Maths
Two functions \( f(x) \) and \( g(x) \) are defined as \( f(x)=\log _{10}\left|\frac{x-2}{x^{2}-10 x+24}\right| \) and
\( \boldsymbol{g}(\boldsymbol{x})=\sin ^{-1}\left(\frac{\mathbf{2}[\boldsymbol{x}]-\mathbf{3}}{\mathbf{1 5}}\right), \) where
denotes greatest integer function, then the number of even integers for which
\( f(x)+g(x) \) is defined, is
Subject: Maths
Solve the following pair of simultaneous equations:
\( \frac{a}{4}-\frac{b}{3}=0 ; \frac{3 a+8}{5}=\frac{2 b-1}{2} \)
A \( . a=-4.5, b=12 \)
в. \( a=4, b=-5 \)
c. \( a=14, b=10.5 \)
D. \( a=12, b=11.5 \)
Subject: Physics
The energy of a photon of light with wavelength \( 5000 A \) is approximately \( 2.5 e V . \) This way the energy of an X-ray
photon with wavelength \( 1 A \) would be:
A. \( \frac{2.5}{(5000)^{2}} e V \)
в. \( 2.5 \times 5000 \) eV
c. \( \frac{25}{(5000)^{2}} \cdot e V \)
D. \( \frac{2.5}{5000} e V \)
Subject: Physics
A compound microscope has on objective of focal length \( 0.5 \mathrm{cm} \) and a tube length of \( 15 \mathrm{cm} . \) If it produces and angular magnification of 225 in normal adjustment, find the focal length of the
eyepiece.
A. \( 3.33 \mathrm{cm} \)
B. \( 15 \mathrm{cm} \)
c. \( 2.25 \mathrm{cm} \)
D. 3.5 cm
Subject: Maths
The distance of the point (1,-2,3) from the plane \( \boldsymbol{x}-\boldsymbol{y}+\boldsymbol{z}=\mathbf{5} \) measured
parallel to the line \( \frac{x}{2}=\frac{y}{3}=\frac{z-1}{-6} \) is
A .
B . 2
\( c \cdot 4 \)
D. None of these
Subject: Physics
Two particles of masses \( 4 k g \) and \( 6 k g \)
are at rest separated by 20 m. If they
move towards each other under mutual
force of attraction, the position of the point where they meet is
\( \mathbf{A} \cdot 12 m \) from \( 4 k g \) body
B. \( 12 \mathrm{m} \) from \( 6 \mathrm{kg} \) body
c. \( 8 m \) from 4 kg body
D. \( 10 m \) from \( 4 k g \) body
Subject: Chemistry
What is the reduction electrode potential (in volts) of copper electrode when \( \left[C u^{2+}\right. \)
\( =0.01 \mathrm{M} \) in a solution at \( 25^{0} \mathrm{C} \) ?
(EO of \( \left.C u^{2+} / C u \text { electrode is }+0.34\right) \)
A . 0.399
B. 0.2809
c. 0.3105
D. 0.3695
Subject: Chemistry
\( \boldsymbol{M} \boldsymbol{e}_{2} \boldsymbol{C H}-\boldsymbol{C H}-\boldsymbol{M e} \frac{\boldsymbol{A l}_{2} \boldsymbol{O}_{3}}{\boldsymbol{3} \boldsymbol{5} 0^{\circ}} \)
\( O H \)
\( (\boldsymbol{A}) \frac{(I) \boldsymbol{H} \boldsymbol{I}}{(I I) A g O H}(\boldsymbol{B}) \)
Product (B) of above reaction:
A \( \cdot M e_{2} C(O H) C H_{2} M e \)
в. \( M e_{2} C H-C H-M e \)
oH
c. \( M e-C H-C M e_{3} \)
oh
D. \( H O-C H_{2}-\left(C H_{2}\right) M e \)
Subject: Chemistry
Amorphous boron of \( 95 \% \) to \( 98 \% \) purity
is obtained by:
\( \mathbf{A} \cdot \) heating \( B_{2} O_{3} \) with \( H_{2} \)
B. heating \( B_{2} O_{3} \) with \( M g \) or \( N a \) at high temperature
C. heating \( K B F_{4} \) with \( N a \) or \( K \)
D. heating \( B B r_{3} \) with \( H_{2} \) in presence of a catalyst
Subject: Physics
Assertion: Two concentric charged
shells are given. The potential difference between the shells depends on
charge of inner shell.
Reason: Potential due to charge of outer
shell remains same at every point
inside the sphere.
A. Both Assertion and Reason are true and the Reason is the correct explanation of the Assertion
B. Both Assertion and Reason are true but the Reason is not the correct explanation of the Assertion
c. Assertion is true statement but Reason is false
D. Both Assertion and Reason are false statements
Subject: Chemistry
Calculate the standard free energy
change for the reaction,
\( \boldsymbol{H}_{2}(\boldsymbol{g})+\boldsymbol{I}_{2}(\boldsymbol{g}) \longrightarrow 2 \boldsymbol{H} \boldsymbol{I}(\boldsymbol{g}) \)
\( \Delta \boldsymbol{H}^{\ominus}=+\mathbf{5 1 . 9 k J} \)
Given that the standard entropies
\( \left(\Delta S^{\ominus}\right) \) of \( H_{2}, I_{2} \) and \( H I \) are 130.6
116.7 and \( 206.3 J K^{-1} m o l^{-1} \)
respectively.
Predict whether the reaction is feasible
at the standard state or not?
A. Reaction is not feasible
B. Reaction is feasible.
c. can't predict
D. None of these
Subject: Chemistry
A sample of 0.50 g of an organic compound was treated according to Kjeldahls method. The ammonia evolved was absorbed in \( 50 \mathrm{ml} \) of \( 0.5 \mathrm{M} \mathrm{H}_{2} \mathrm{SO}_{4} \)
The residual acid required \( 60 \mathrm{mL} \) of 0.5 M solution of NaOH for neutralisation.
Find the percentage composition of nitrogen in the compound.
Subject: Physics
In a series LCR circuit at resonance, the
appiled ac voltage is \( 220 \mathrm{V} \). If bthe potential drop across the inductance is \( 110 V, \) then the potential drop across the resistance is
A \( \cdot 110 \sqrt{2} V \)
B. \( 110 V \)
c. \( 220 V \)
D. \( 220 \sqrt{2} V \)
Subject: Chemistry
Specific heat of one mole of hydrogen at
constant pressure and at constant volume are \( 450 J K^{-1} \) and \( 300 J K^{-1} \)
respectively. Then what is the density of the gas at S.T.P?
\( \left(P_{a t m}=1.013 \times 10^{5} N m^{-2}\right) \)
A \( .2 .47 \mathrm{kg} / \mathrm{m}^{3} \)
В. \( 3.0 \mathrm{kg} / \mathrm{m}^{3} \)
c. \( 3.58 \mathrm{kg} / \mathrm{m}^{3} \)
D. \( 4.0 \mathrm{kg} / \mathrm{m}^{3} \)
E. No solution
Subject: Physics
A \( 0.2 m l \) sample of a solution containing
\( 1 \times 10^{-7} \) curie of tritium \( _{1} H^{3} \) is injected
into the blood stream of a laboratory animal. After allowing sufficient time for circulation \( 0.1 m l \) of the blood is
found to have an activity of 20 disintegration per minute. What is the blood volume of the animal?
A. 1.1 litre
B . 0.55 litre
c. 0.65 litre
D. 1.65 litre
Subject: Physics
A ball of mass \( 0.2 \mathrm{kg} \) is thrown vertically upwards by applying a force by hand. If the hand moves \( 0.2 \mathrm{m} \) while applying
the force and the ball goes up to 2 in height further, find the magnitude of
the force. Consider \( g=10 m / s^{2} \)
\( A \cdot 16 N \)
B. 20 N
c. 22
D. \( 180 \mathrm{N} \)
Subject: Maths
If \( y=\tan ^{-1}\left(\frac{2^{x}}{1+2^{2 x+1}}\right), \) then \( \frac{d y}{d x} \) at
\( \boldsymbol{x}=\mathbf{0} \) is?
A \( \cdot \frac{1}{10} \log 2 \)
B. \( \frac{1}{5} \log 2 \)
c. \( -\frac{1}{10} \log 2 \)
D. \( \log 2 \)
Subject: Physics
Two point masses 1 and 2 move with
uniform velocities \( \boldsymbol{v}_{1} \) and \( \boldsymbol{v}_{2} \)
respectively. Their initial position
vectors are \( r_{1} \) and \( r_{2}, \) respectively.
Which of the following should be satisfied for the collision of the point
masses?
A \( \cdot \frac{r_{1}-r_{2}}{\left|r_{2}-r_{1}\right|}=\frac{v_{1}-v_{2}}{\left|v_{2}-v_{1}\right|} \)
В. \( \frac{r_{2}-r_{1}}{\left|r_{1}-r_{1}\right|}=\frac{v_{2}-v_{1}}{\left|v_{2}-v_{1}\right|} \)
c. \( \frac{r_{2}-r_{1}}{\left|r_{2}+r_{1}\right|}=\frac{v_{2}-v_{1}}{\left|v_{2}+v_{1}\right|} \)
D. \( \frac{r_{2}+r_{1}}{\left|r_{2}+r_{1}\right|}=\frac{v_{2}-v_{1}}{\left|v_{2}+v_{1}\right|} \)
Subject: Physics
A horizontal pipe line carries water in a streamline flow. At a point along the tube where the cross-sectional area is
\( 10^{-2} m^{2}, \) the water velocity is \( 2 m s^{-1} \)
and the pressure is 8000 Pa. The
pressure of water at another point where the cross-sectional area is \( 0.5 \times \)
\( 10^{-2} m^{2} \) is?
Subject: Maths
\( \left|\begin{array}{lll}\boldsymbol{a}+\boldsymbol{b} & \boldsymbol{b}+\boldsymbol{c} & \boldsymbol{c}+\boldsymbol{a} \\ \boldsymbol{b}+\boldsymbol{c} & \boldsymbol{c}+\boldsymbol{a} & \boldsymbol{a}+\boldsymbol{b} \\ \boldsymbol{c}+\boldsymbol{a} & \boldsymbol{a}+\boldsymbol{b} & \boldsymbol{b}+\boldsymbol{c}\end{array}\right|=\boldsymbol{K}\left|\begin{array}{lll}\boldsymbol{a} & \boldsymbol{b} & \boldsymbol{c} \\ \boldsymbol{b} & \boldsymbol{c} & \boldsymbol{a} \\ \boldsymbol{c} & \boldsymbol{a} & \boldsymbol{b}\end{array}\right| \)
\( \operatorname{then} K= \)
A . 1
B. 2
\( c \)
\( D \)
Subject: Chemistry
Assertion
Ammonia can be liquefied by applying high pressure.
Reason
Ammonia is highly soluble in water
A. Both assertion and reason are CORRECT and reason is the CORRECT explanation of the assertion
B. Both assertion and reason are CORRECT, but reason is NOT THE CORRECT explanation of the assertion
C. Assertion is CORRECT, but reason is INCORRECT
D. Assertion is INCORRECT, but reason is CORRECT
Subject: Physics
Two particles are placed at some distance and the magnitude of gravitational force between them is F. If the mass of each of the two particles is doubled, keeping the distance between them unchanged, the new value of gravitational force, in terms of \( F \) between them will be:
A \( \cdot \frac{F}{4} \)
в. \( 4 F \)
c. \( \frac{F}{2} \)
D.
Subject: Maths
If the median of the data \( 6,7, x- \)
\( 2, x, 18,21 \) written in ascending order is
16, then the variance of that data is
A \( \cdot 30 \frac{1}{5} \)
в. \( 31 \frac{1}{3} \)
c. \( _{32} \frac{1}{2} \)
D. \( 33 \frac{1}{3} \)
Subject: Chemistry
Among the electrolyte
\( N a_{2} S O_{4}, C a C l_{2}, A l_{2}\left(S O_{4}\right)_{3} \) and
\( N H_{4} C l, \) the most effective coagulating
agent for \( \boldsymbol{S b}_{2} \boldsymbol{S}_{3} \) sol is:
A \( \cdot N a_{2} S O_{4} \)
в. \( C a C l_{2} \)
\( \mathbf{c} \cdot A l_{2}\left(S O_{4}\right) \)
D. \( N H_{4} C l \)
Subject: Chemistry
\( \boldsymbol{A} \boldsymbol{g} \mid \boldsymbol{A} \boldsymbol{g}^{\oplus}(\boldsymbol{1} \boldsymbol{M})\left\|\boldsymbol{A} \boldsymbol{g}^{\oplus}\right\| \boldsymbol{A} \boldsymbol{g} \)
\( 0.5 F \) electricity in this LHS (anode) and
1 F of electricity in the RHS (cathode) is first passed making them independent electrolytic cells at \( 298 \mathrm{K} \). EMF of the cell after electrolysis will be:
A. increased
B. remain same
c. decreased
D. None of these
Subject: Maths
The vector equation of the line \( \frac{x-2}{2}= \) \( \frac{2 y-5}{-3}, z=-1 \) is \( \vec{r}= \)
\( \left(2 \hat{i}+\frac{5}{2} \hat{j}-\hat{k}\right)+\lambda\left(2 \hat{i}-\frac{3}{2} \hat{j}+x \hat{k}\right) \)
where \( x \) is equal to
\( \mathbf{A} \cdot \mathbf{0} \)
B.
c. 2
D. 3
Subject: Chemistry
Arrange the following bonds according
to their average bond energies in
descending order:
\( \boldsymbol{C}-\boldsymbol{C l}, \boldsymbol{C}-\boldsymbol{B r}, \boldsymbol{C}-\boldsymbol{F}, \boldsymbol{C}-\boldsymbol{I} \)
A. \( C-B r>C-I>C-C l>C-F \)
B. \( C-F>C-C l>C-B r>C-I \)
c. \( C-I>C-B r>C-C l>C-F \)
D. \( C-C l>C-B r>C-I>C-F \)
\( F \)
Subject: Physics
A beam of protons enters a uniform magnetic field of \( 0.3 T \) with a velocity of \( 4 \times 10^{5} m / s \) in a direction making an
angle of \( 60^{\circ} \) with the direction of magnetic field. What will be the pitch of the helix formed by moving particles? (Given charge of proton \( e=1.6 \times \)
\( 10^{-19} C, \) mass of proton \( m=1.67 \times \)
\( \left.10^{-27} k g\right) \)
A \( .4 .37 m \)
В. 0.437 т
\( c .0 .0437 m \)
D. \( 0.00437 m \)
Subject: Chemistry
From the concentrations of \( \mathrm{R} \) at
different times given below. Determine
the average rate of the reaction range: \( R \)
\( \rightarrow P \) in given intervals of time.
\( t(s) \)
\[
\begin{array}{ll}
\text { 0 } & \text { 5 }
\end{array}
\]
\( \mathbf{1} \)
\[
\begin{array}{ll}
10^{-3} \times & 160 \\
\end{array}
\]
40
\( [R]\left(\operatorname{mol} L^{-1}\right) \)
\( \mathbf{A} \cdot 3.5 \times 10^{2} \) to \( 0.42 \times 10^{2} \) mol. \( L^{-1} s^{1} \)
B . \( 7 \times 10^{2} \) to \( 0.84 \times 10^{2} \) mol. \( L^{-1} s^{1} \)
C . \( 8 \times 10^{3} \) to \( 0.37 \times 10^{3} \) mol. \( L^{-1} s^{1} \)
D. \( 16 \times 10^{3} \) to \( 0.75 \times 10^{3} \) mol. \( L^{-1} s^{1} \)
Subject: Biology
Which one of following pairs of gases is the major cause of greenhouse effect?
A. \( C O_{2} \) and \( O_{3} \)
в. \( C O_{2} \) and \( C O \)
c. \( C F C \) and \( S O_{2} \)
D. \( C O_{2} \) and \( N_{2} O \)
Subject: Physics
The length of an elastic string is \( 5 m \)
when the longitudinal tension is \( 4 N \)
and \( 6 m \) when the tension is \( 5 N . \) If the
length of the string (in meter) is "2 \( X^{\prime \prime} \)
when the longitudinal tension is \( 9 N \) (assume Hooke's law is valid) then the value of \( \boldsymbol{X} \) will be :
Subject: Chemistry
Which types of bonding are present in ammonium carbonate, \( \left(N H_{4}\right)_{2} C O_{3} ? \)
1. lonic
2. Covalent
3. Co-ordinate(dative covalent).
A. 1,2 and 3 are correct
B. 1 and 2 are correct
\( c \cdot 2 \) and 3 are correct
D. 1 is correct
Subject: Chemistry
Assertion
Statement-I: Wolframite impurities are separated from cassiterite by electromagnetic separation.
Reason
Statement- II : Cassiterite being magnetic is attached by the magnet and forms a separate heap.
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