AkshitPareek2004/jee-question-analyzer-data huggingface dataset:
Subject: Chemistry
The vapour pressure of a solvent at 293
K is 100 mm Hg. Then the vapour pressure of a solution containing 1 mole of a strong electrolyte \( \left(A B_{2}\right) \) in 99 moles of the solvent at \( 293 \mathrm{K} \) is:
(Assume complete dissociation of solute)
A. \( 103 \mathrm{mm} \) Hg
в. \( 99 \mathrm{mm} \) Нв
\( \mathbf{c} .97 \mathrm{mm} \mathrm{Hg} \)
D. \( 101 \mathrm{mm} \) Н
Subject: Maths
\( \lim _{x \rightarrow 3} \frac{x-3}{\sqrt{x-2}-\sqrt{4-x}} \) equals to
\( \mathbf{A} \cdot \mathbf{0} \)
B. \( \frac{3}{2} \)
\( c \cdot \frac{1}{4} \)
D. none of these
Subject: Physics
The electric field in a region of space is given by \( \mathrm{E}=5 \mathrm{i}+2 \mathrm{j} \) N/C. The electric flux
due to this field through an area \( 2 m^{2} \)
lying in the YZ plane, in S.l unit, is
A . 10
B. 20
c. \( 10 \sqrt{2} \)
D. \( 2 \sqrt{29} \)
Subject: Maths
A die is thrown 400 times, the frequency of the outcomes of the events are given
as under.
outcome ' \( \mathbf{3} \) 3. \( \mathbf{2} \) 4
Frequency 70
65
60 1 75
Find the probability of occurrence of an odd number.
A ' the probability of occurrence of odd number \( =\frac{5}{7} \)
B. The probability of occurrence of odd number \( =\frac{9}{2} \)
C ' the probability of occurrence of odd number \( =\frac{193}{400} \)
D. The probability of occurrence of odd number \( =\frac{200}{299} \)
Subject: Maths
If the equation \( (10 x-5)^{2}+(10 y- \)
4)\( ^{2}=\lambda^{2}(3 x+4 y-1)^{2} \) represents a
hyperbola, then :
A \( .-2<\lambda<2 \)
B \( . \lambda>2 \)
c. \( \lambda<-2 \) or \( \lambda>2 \)
Subject: Chemistry
mark the appropriate choice?
olum \( c \) Sr.No. Column I Column I Cold
II
\( (A) \)
\( C H_{4}(g)+ \)
\( 2 O_{2}(g) \rightarrow \)
\( C O_{2}(g)+ \)
(i) \( \Delta_{s o l} H^{0} \) A \( C U_{2}(g)+ \)
\( H_{2} O \)
(B) (ii) \( \Delta_{\text {lattice}} H^{0} \)
\( (C) \)
\( H_{2} O \)
\( H_{2(g)} \rightarrow \)
\( 2 H_{(g)} \)
\( N a C I_{(s)} \rightarrow \)
\( N a_{(g)}^{+}+ \)
\( C I_{(g)}^{-} \)
\( N a C l_{(g)} \rightarrow \)
\( N a_{(a q)}^{+}+ \)
\( C l_{(a q)}^{-} \) (iii) \( \quad \Delta_{C} H^{0} \)
\( (D) \)
\( r_{i j} \)
\( \mathbf{A} \cdot(A) \rightarrow(i v),(B) \rightarrow(i i i),(C) \rightarrow(i),(D) \rightarrow(i i) \)
B. \( (A) \rightarrow(\text { ii) },(B) \rightarrow(i),(C) \rightarrow(i v),(D) \rightarrow( \text { iii) } \)
\( \mathbf{C} \cdot(A) \rightarrow(i),(B) \rightarrow(i i),(C) \rightarrow(i i i),(D) \rightarrow(i v) \)
\( \mathbf{D} \cdot(A) \rightarrow(\text { iii }),(B) \rightarrow(i v),(C) \rightarrow(i i),(D) \rightarrow(i) \)
Subject: Maths
\( \frac{\mathbf{3} \boldsymbol{x}^{2}+\mathbf{5}}{\left(\boldsymbol{x}^{2}+\mathbf{1}\right)^{2}}=\frac{\boldsymbol{A}}{\left(\boldsymbol{x}^{2}+\mathbf{1}\right)}+\frac{\boldsymbol{B}}{\left(\boldsymbol{x}^{2}+\mathbf{1}\right)^{2}} \Rightarrow \)
\( (A, B)= \)
A \( .(2,3) \)
в. (3,2)
c. (2,-3)
D. (-2,3)
Subject: Maths
Let \( \boldsymbol{f}=\left\{\left(\boldsymbol{x}, \frac{\boldsymbol{x}^{2}}{\mathbf{1}+\boldsymbol{x}^{2}}\right): \boldsymbol{x} \in \boldsymbol{R}\right\} \) be a
function from \( R \) into \( R \) Determine the
range of \( \boldsymbol{f} \)
Subject: Physics
Using the SONAR, sound pulses are emitted at the surface of water. These
pulses after being reflected from the bottom are detected. If the time internal
from the emission to the detection of
sound pulses is \( 8 s \), find the depth of
water:
(net of sound in water \( =\mathbf{1 4 9 8 m} / \boldsymbol{s} \) )
\( \mathbf{A} \cdot 1498 m \)
B. \( 5992 m \)
c. \( 374.5 m \)
D. \( 18182 m \)
Subject: Chemistry
\( \boldsymbol{K} \boldsymbol{M} \boldsymbol{n} \boldsymbol{O}_{4} \) is added to \( \boldsymbol{K} \boldsymbol{O} \boldsymbol{H}, \) which of
the following colour is observed?
A. Pale Pink
B. Brown
c. Black
D. Green
Subject: Physics
Assertion
Latent heat of fusion of ice is 336000 J
\( k g^{-1} \)
Reason
Latent heat refers to change of state without any change 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. Both Assertion and Reason are incorrect
Subject: Maths
A packet of 10 CD's contains 4 defected. The CD's are selected at random, one by one, examined and are not replaced. The probability that 7 th \( C D \) is the last defective is
A \( \cdot \frac{2}{21} \)
B. \( \frac{4}{9} \)
c. \( \frac{7}{27} \)
D. None of these
Subject: Physics
Underline the correct alternative:
(a) When a conservative force does
positive work on a body, the potential energy of the body increases decreases / remains unaltered.
(b) Work done by a body against friction always results in a loss of its kinetic / potential energy.
(c) The rate of change of total momentum of a many-particle system is proportional to the external force / sum of the internal forces on the system.
(d) In an inelastic collision of two
bodies, the quantities which do not change after the collision are the total kinetic energy / total linear momentum
/ total energy of the system of two bodies.
Subject: Maths
Find the value of determinant.
(i) \( \left|\begin{array}{cc}\cos \theta & -\sin \theta \\ \sin \theta & \cos \theta\end{array}\right| \)
(ii) \( \left|\begin{array}{cc}x^{2}-x+1 & x-1 \\ x+1 & x+1\end{array}\right| \)
Subject: Maths
At an examination in which maximum
marks are \( 500 . \) P got \( 10 \% \) less than \( Q, Q \)
\( \operatorname{got} 25 \% \) more than \( \mathrm{R} \) and \( \mathrm{R} \) got \( 20 \% \) less
than S. If P got 360 marks what
percentage of marks was obtained by
?
Subject: Chemistry
The oxidation number of underlined
element in \( \underline{M} \boldsymbol{n}_{3} \boldsymbol{O}_{4} \) compound is :
\( A \cdot \frac{8}{3} \)
B. \( \frac{7}{3} \)
\( c \cdot \frac{8}{5} \)
D. none of these
Subject: Maths
A real valued function \( f(x) \) satisfies the functional equation \( \boldsymbol{f}(\boldsymbol{x}-\boldsymbol{y})= \)
\( \boldsymbol{f}(\boldsymbol{x}) \boldsymbol{f}(\boldsymbol{y})-\boldsymbol{f}(\boldsymbol{a}-\boldsymbol{x}) \boldsymbol{f}(\boldsymbol{a}+\boldsymbol{y}), \) where \( \boldsymbol{a} \)
is a given constant and \( \boldsymbol{f}(\mathbf{0})= \)
\( \mathbf{1}, \boldsymbol{f}(\mathbf{2} \boldsymbol{a}-\boldsymbol{x}) \) is equal to
A \( .-f(x) \)
в. \( f(x) \)
c. \( f(a)+f(a-x) \)
D. \( f(a)-f(a-x) \)
Subject: Physics
Q Type your question
(see figure I).The other ends are
attached to identical supports M1 and
M2 not attached to the walls. The
springs and supports have negligible mass. There is no friction anywhere. The
block B is displaced towards wall 1 by a small distance \( x \) (figure II) and released
The block returns and moves a
maximum distance y towards wall 2.
Displacements x and y are measured with respect to the
equilibrium position of the block B. The ratio \( \frac{\boldsymbol{y}}{\boldsymbol{x}} \) is
A . 4
B. 2
\( c \cdot \frac{1}{2} \)
Subject: Chemistry
\( \boldsymbol{P h}-\boldsymbol{N}=\boldsymbol{C O} \frac{(\boldsymbol{i}) C \boldsymbol{H}_{3} M \boldsymbol{g} \boldsymbol{B r}}{(\boldsymbol{i} i) \boldsymbol{H}_{2} \boldsymbol{O}} \boldsymbol{P} \frac{\boldsymbol{L} \boldsymbol{i} A \boldsymbol{l} \boldsymbol{H}_{4}}{\longrightarrow} \)
\( Q \)
A \( \cdot P \) is \( P h-N H-\underset{V}{\left.\right|_{V}}-C H_{3} \) and \( Q \) is \( P h-N H- \)
\( C H_{2}-C H_{3} \)
B \( \cdot P \) is \( P h-N H-C H_{3} \) and \( Q \) is \( N H_{3} \)
C.
\[
P \text { is } P h N=C-O H \text { and } Q \text { is } P h-N H-C H_{3}
\]
D \( \cdot P \) is \( P h-N H-C H-C H_{3} \) and \( Q \) is \( P h-N H- \)
\( P h-N H-\underset{O H}{C} H-C H_{3} \)
\( C H-C H_{3} \)
\( _{C H_{3}} \)
Subject: Chemistry
In the following structural formulae one
IUPAC name is incorrect. Identify it.
\( \mathbf{A} \cdot C H_{3}-C H_{2}-\underset{\| \atop O}{C}-C H_{3}- \) Butanone
\( H \)
B. \( \quad C H_{3}-C H_{2}-C=O \) -Propanal
\( \mathrm{C} \)
D. \( C H_{3}-C H_{2}-C H_{2}-C H_{2}-O H- \) Butanol
Subject: Physics
A block of mass \( m \) slides down an
inclined wedge of same \( m \) shown in
figure. Friction is absent everywhere Magnitude of acceleration of center of
mass of the block and wedge is
A. zer
B. \( \frac{g \sin ^{2} \theta}{\left(1+\sin ^{2} \theta\right)} \)
c. \( \frac{g \cos ^{2} \theta}{\left(1+\sin ^{2} \theta\right)} \)
D. \( \frac{g \sin \theta}{(1+\cos \theta)} \)
Subject: Chemistry
Formula for argentite, horn silver and
pyragyrite are respectively?
\( \mathbf{A} \cdot A g_{2} S, A g C l \) and \( A g_{3} S b S_{3} \)
B. \( A g C l, A g_{3} S b S_{3} \) and \( A g_{2} S \)
\( \mathbf{c} \cdot A g_{3} S b S_{3}, A g_{2} S \) and \( A g C l \)
D. \( A g C l A g_{2} S \) and \( A g_{3} S b S_{3} \)
Subject: Physics
A particle of mass m free to move in the x-y plane is subjected to a force whose
components are \( \boldsymbol{F}_{\boldsymbol{x}}=-\boldsymbol{k} \boldsymbol{y} \) and \( \boldsymbol{F}_{\boldsymbol{y}}= \)
\( -k y, \) where \( k \) is a constant. The particle
is released when \( t=0 \) at the point (2,3) Prove that the subsequent motion is simple harmonic along the straight line
\( 2 y-3 x=0 \)
Subject: Physics
Assertion
The electric bulbs glows immediately
when switch is on.
Reason
The drift velocity of electrons in a
metallic wire is very high.
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
Which of these are correct
regarding Freundlich adsorption isotherm, if \( \frac{x}{m} \) is the amount adsorbed per unit mass of adsorbent?
This question has multiple correct options
A \( \cdot \frac{X}{m} \alpha(P)^{1 / n} \)
в. \( \log \frac{X}{m}=\log K+\frac{1}{n} \log P \)
c. \( _{\text {At low } P,} \frac{X}{m} \alpha P_{(V)} \)
D. at high \( P, \frac{X}{m}=K_{(V)} \)
Subject: Maths
f \( \boldsymbol{f}: \boldsymbol{R} \rightarrow \boldsymbol{R} \) and \( \boldsymbol{g}: \boldsymbol{R} \rightarrow \boldsymbol{R} \) are defined
by \( f(x)=2 x+3, g(x)=x^{2}+7, \) what
are the values of \( \boldsymbol{x} \) for which \( \boldsymbol{f}[\boldsymbol{g}(\boldsymbol{x})]= \)
\( \mathbf{2 5} ? \)
\( A \cdot \pm 1 \)
B. ±2
\( c .\pm 3 \)
\( \mathrm{D} \cdot \pm 4 \)
Subject: Chemistry
Assertion
Nitrogen does not form \( \boldsymbol{N} \boldsymbol{C} \boldsymbol{I}_{\mathbf{5}} \) or \( \boldsymbol{N} \boldsymbol{F}_{\mathbf{5}} \)
but phosphorus can.
Reason
Nitrogen \( \left(1 s^{2} 2 s^{2} 2 p^{3}\right) \) lacks \( 2 d \) -orbitals
in which electrons of 2 s can be excited
to make five orbitals unpaired. Only
three electrons remain unpaired hence
only \( N X_{3} \) is formed. In case of
\( P\left(1 s^{2} 2 s^{2} 2 p^{6} 3 s^{2} 3 p^{3}\right), 3 s \) electron can be
excited into \( 3 d \) vacant orbitals thus
making five unpaired electrons, thus
\( P X_{5} \) is possible.
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
A mark on the surface of a glass sphere( \( \boldsymbol{\mu}=1.5) \) is viewed from a diametrically opposite position. It appears to be at a distance \( 10 \mathrm{cm} \) from its actual position. The radius of sphere is:
A. \( 5 \mathrm{cm} \)
B. 10 \( \mathrm{cm} \)
c. \( 15 \mathrm{cm} \)
D. 20 cm
Subject: Chemistry
The I.U.P.A.C name for \( \left[\boldsymbol{F e}(\boldsymbol{C N})_{\mathbf{6}}\right]^{\mathbf{3}-} \) ion
is :
A. hexacyanidoferrate(II) ion
B. hexacyanidoferrate(III) ion
C. hexacyanideiron(II) ion
D. iron(III) hexacyanide ion
Subject: Maths
For \( a, b, c \in Q \) and \( b+c \neq a, \) the roots of
\( \boldsymbol{a} \boldsymbol{x}^{2}-(\boldsymbol{a}+\boldsymbol{b}+\boldsymbol{c}) \boldsymbol{x}+(\boldsymbol{b}+\boldsymbol{c})=\mathbf{0} \) are
A. Rational and unequal
B. rational and equal
c. complex numbers
D. none
Subject: Maths
The set of values of \( p \) for which the
points of extremum of the function,
\( \boldsymbol{f}(\boldsymbol{x})=\boldsymbol{x}^{3}-\boldsymbol{p} \boldsymbol{x}^{2}+\boldsymbol{3}\left(\boldsymbol{p}^{2}-\mathbf{1}\right) \boldsymbol{x}+\mathbf{1} \) lie
in the interval (-2,4) is
A. (-3,5)
в. (-3,3)
c. (-1,3)
D. (-1,5)
Subject: Chemistry
Which of the following are exothermic processes?
(i) The reaction of water with quicklime
(ii) Dilution of an acid
(iii) Evaporation of water
(iv) Sublimation of camphor (crystals)
\( A \cdot \) (i) and (ii)
B. (ii) and (iii)
c. (i) and (iv)
D. (iii) and (iv)
Subject: Biology
Assertion
In woody stems, the amount of
heartwood continues to increase year
after year.
Reason
The cambial activity continues
uninterrupted.
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
The masses and the radii of the earth
and the moon are \( M_{1}, R_{1} \) and \( M_{2}, R_{2} \)
respectively. Their centres are at a
distance \( d \) apart. Find the minimum
speed with which a particle of mass \( \boldsymbol{m} \)
should be projected from a point
midway between the two centres so as to escape it to infinity.
Subject: Maths
Maximize \( \boldsymbol{f}=\mathbf{4} \boldsymbol{x}-\boldsymbol{y}, \) subject to the
constraints
\( \mathbf{7} \boldsymbol{x}+\mathbf{4} \boldsymbol{y} \leq \mathbf{2 8}, \mathbf{2 y} \leq \mathbf{7}, \boldsymbol{x} \geq \mathbf{0}, \boldsymbol{y} \geq \mathbf{0} \)
Subject: Maths
In the figure, \( \boldsymbol{O} \) is the center, if
\( \angle B A C=x \) and \( \angle B C O=y, \) then
A . \( x+y=180 \)
B. \( x+y=90 \)
c. \( x+y=120 \)
D. \( x+y=150 \)
Subject: Physics
Q Type your question
Youngs double slit apparatus. The
separation between maxima is
measured on a screen placed parallel to
the plane of the slits at a distance of
1.0 \( m \) from it as shown in figure. The
separation between the slits is \( 2 d= \)
1 \( m m \)
(a) If the incident beam falls normally on the double slit apparatus, find the \( y- \) coordinates of all the interface
minima of the screen
(b) If the incident beam makes an angle
of \( 30^{\circ} \) with the \( x- \) axis (as shown in fig)
find the \( y- \) coordinates of the first
minima on either side of the central
maximum.
Subject: Physics
An electric charge \( 10^{-3} \mu C \) is placed at the origin (0,0) of \( X \) -Y co-ordinate system. Two points A and B are situated \( \operatorname{at}(\sqrt{2}, \sqrt{2}) \) and (2,0) respectively. The potential difference between the points \( A \) and \( B \) will be :
A . 4.5 volt
B. 9 volt
c. zero
D. 2 volt
Subject: Chemistry
The cell
\( \boldsymbol{P t}\left(\boldsymbol{H}_{2}\right)(\boldsymbol{1} \boldsymbol{a} \boldsymbol{t m}) \mid \boldsymbol{H}^{+}(\boldsymbol{p} \boldsymbol{H}=?), \boldsymbol{I}^{-}(\boldsymbol{a}= \)
0. The electrode potential for the
reaction \( \boldsymbol{A} \boldsymbol{g} \boldsymbol{l}+\boldsymbol{e}^{-} \rightarrow \boldsymbol{A} \boldsymbol{g}+\boldsymbol{I}^{\ominus} \boldsymbol{i} \boldsymbol{s}- \)
0.151 volt. Calculate the \( p H \) value :-
A . 3.37
B. 5.26
\( c .2 .56 \)
D. 4.62
Subject: Physics
A person of \( 40 \mathrm{kg} \) is managing to be at rest between 2 vertical walls by
pressing one wall \( A \) by his hands and feet and \( \mathrm{B} \) with his back as shown in fie
The coeff. of friction between his body
and the wall is 0.8 . The normal force
exerted by the person is
\( \left(g-10 m / s^{2}\right) \)
\( \mathbf{A} \cdot 250 N \)
B. \( 290 N \)
\( c \cdot 100 N \)
D. \( 106 N \)
Subject: Maths
One and only one out of \( \boldsymbol{n}, \boldsymbol{n}+\mathbf{4}, \boldsymbol{n}+ \)
\( 8, n+12 \) and \( n+16 \) is \( \dots \dots \) (where n is
any positive integer)
A. Divisible by 5
B. Divisible by 4
c. Divisible by 10
D. Divisible by 12
Subject: Physics
1 nano metre \( (1 \mathrm{nm}) \) is equal to
\( \mathbf{A} \cdot 10^{-7} \mathrm{m} \)
В. \( 10^{-9} \mathrm{m} \)
\( \mathbf{c} \cdot 10^{9} \mathrm{m} \)
D. None of these
Subject: Physics
Assertion
A ray incident along normal to the mirror retraces its path.
Reason
In reflection, angle of incidences is always equal to angle of reflection.
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
A prism has a refracting angle of \( 60^{\circ} \) When placed in the position of minimum deviation, it produces a
deviation of \( 30^{\circ} . \) The angle of incidence
is:
\( A \cdot 30 \)
B. 45
\( c \cdot 15 \)
\( D \cdot 60 \)
Subject: Maths
A man wears socks of two colours -
Black and brown. He has altogether 20
black socks and 20 brown socks in a
drawer. Supposing he has to take out of the socks in the dark, how many must
he take out to be sure that he has a
matching pair?
A . 3
B . 20
\( c .39 \)
D. None of these
Subject: Physics
The magnetic field at the centre of
circular loop in the circuit carrying
current \( I \) shown in the figure is :
A \( \cdot \frac{\mu_{0}}{4 \pi} \frac{2 I}{r}(1+\pi) \)
в. \( \frac{\mu_{0}}{4 \pi} \frac{2 I}{r}(\pi-1) \)
c. \( \frac{\mu_{0}}{4 \pi} \frac{2 I}{r} \)
D. \( \frac{\mu_{0}}{4 \pi} \frac{I}{r}(\pi+1 \)
Subject: Chemistry
\( \boldsymbol{H}_{2}(\boldsymbol{g})+\boldsymbol{I}_{2}(\boldsymbol{g}) \longrightarrow 2 \boldsymbol{H} \boldsymbol{I}(\boldsymbol{g}) \)
For this reaction, relate \( \Delta H \) and \( \Delta U \)
\( \mathbf{A} \cdot \Delta H=\Delta U \)
в. \( \Delta H>\Delta U \)
\( \mathbf{c} \cdot \Delta H<\Delta U \)
D. None of these
Subject: Maths
If \( \boldsymbol{a}=\lim _{x \rightarrow \infty}(\sqrt{x+\sqrt{x}-} \sqrt{x}) \) and \( b= \)
\( \lim _{x \rightarrow \infty}(x-\sqrt{x+x^{2}}) \) then
\( \mathbf{A} \cdot a+b=1 \)
B . \( a+b=0 \)
\( \mathbf{c} \cdot a=b \)
D. \( a+b=2 \)
Subject: Chemistry
Assertion: The basicity of orthophosphorous acid is two Reason: In ortho-phosphorous acids,
two replaceable hydrogen atoms are
present
A. Both Assertion and Reason are true and Reason is the correct explanation of Assertion
B. Both Assertion and Reason are true and Reason is not the correct explanation of Assertion
c. Assertion is true and Reason is false
D. Assertion is false but Reason is true
Subject: Chemistry
Arrange \( C e^{3+}, L a^{3+}, P m^{3+}, \) and \( Y b^{3+} \)
in increasing order of their ionic radius:
A \( \cdot Y b^{3+}<P m^{3+}<C e^{3+}<L a^{3} \)
в. \( C e^{3+}>Y b^{3+}<P m^{3+}<L a^{3+} \)
c. \( Y b^{3+}>P m^{3+}<L a^{3+}<C e^{3+} \)
D. none of these
Subject: Chemistry
Which statements describe the
condition(s) required for a successful
formation of a product in a reaction?
A. The collision must involve a sufficient amount of energy, provided from the motion of the particles, to overcome the activation energy
B. The relative orientation of the particles has little or no effect on the formation of the product
C. The relative orientation of the particles has an effect only if the kinetic energy of the particles is below some minimum value
D. The relative orientation of the particles must allow for formation of the new bonds in the product
E. The energy of the incoming particles must be above a certain minimum value and the relative orientation of
the particles must allow for formation of new bonds in the product
Subject: Maths
For \( \boldsymbol{a}>\mathbf{0}, \) arg \( (\boldsymbol{i} \boldsymbol{a})= \)
A \( \cdot \frac{\pi}{2} \)
B. \( -\frac{\pi}{2} \)
\( c . \pi \)
D. - \( \pi \)
Subject: Physics
A uniform rod of length \( L \) rests on a frictionless horizontal surface. The rod
is pivoted about a fixed frictionless axis at one end. The rod is initially at rest. A bullet travelling parallel to the horizontal surface and perpendicular to the rod with speed \( v \) strikes the rod at
its centre and becomes embedded in it.
The mass of the bullet is one-sixth the
mass of the rod. The ratio of the kinetic
energy of the system before the collision to the kinetic energy of the bullet after the collision is \( \frac{1}{x} . \) Find the value of \( x \)
Subject: Maths
If \( D, E \) are the mid-points of \( A B, A C \) of \( \triangle A B C \) and \( \overline{D E}=\lambda \overline{B C} \) then \( \lambda= \)
\( \mathbf{A} \cdot \mathbf{1} \)
B . 2
\( c \cdot \frac{1}{2} \)
D. 3
Subject: Chemistry
Complete the following reactions
(a) \( \boldsymbol{I}_{2}+\boldsymbol{I F}_{3} \longrightarrow \)
(b) \( C l_{2}+H_{2} O \longrightarrow \)
(c) \( C l_{2}+H_{2} S \longrightarrow \)
\( \mathbf{A} \ldots \underset{\rightarrow}{B I F} \)
\( \rightarrow H C l+H O C l \)
\( \rightarrow 2 H C l+S \)
Subject: Physics
A cylinder contained \( 10 \mathrm{kg} \) of gas at
pressure \( 10^{7} \mathrm{N} / \mathrm{m}^{2} . \) The quantity of gas
taken out of cylinder if final pressure is \( 2.5 \times 10^{6} \mathrm{N} / \mathrm{m}^{2} \) is (Assume temperature of gas is
onstant
A. zero
B. 7.5 \( \mathrm{Kg} \)
c. \( 2.5 \mathrm{Kg} \)
\( D .5 \mathrm{kg} \)
Subject: Physics
A ball of mass \( m \) is projected from the
ground with an initial velocity \( u \) making
an angle of \( \theta \) with the horizontal. What
is the change in velocity between the point of projection and the highest point?
A . \( u \sin \theta \)
B . \( u^{2} \cos \theta \)
c. \( u \cos \theta \)
D. \( u^{2} \sin \theta \)
Subject: Chemistry
The standard potential of the reaction:
\( H_{2} O+e^{-} \rightarrow \frac{1}{2} H_{2}+O H^{-} \) at \( 298 \mathrm{K} \) by
using \( \boldsymbol{K}_{\boldsymbol{w}}\left(\boldsymbol{H}_{2} \boldsymbol{O}\right)=\mathbf{1 0}^{-14} \)
\( A .-0.828 V \)
в. 0.828 v
c. \( 2.0 v \)
D. -0.5
Subject: Maths
Evaluate \( \int \frac{(\sin x)^{2018}}{(\cos x)^{2020}} d x \)
A. \( \frac{(\tan x)^{2019}}{2019}+c \)
B. \( \frac{(\sin x)^{2019}}{2019}+c \)
c. \( \frac{(\cos x)^{2019}}{2019}+c \)
D. \( \frac{(\tan x)^{2019} \sec ^{2} x}{2019}+c \)
Subject: Physics
Assertion
In elastic collision, kinetic energy is
conserved.
Reason
Energy is always conserved.
A. Both Assertion and Reason are correct and Reason is
the correct explanation for Assertion.
B. Both Assertion and Reason are correct but Reason is
not the correct explanation for Assertion.
C. Assertion is correct but Reason is incorrect.
D. Both Assertion and Reason are incorrect.
Subject: Maths
In the adjoining figure, \( O A B C \) is a square of side \( 7 \mathrm{cm} . O A C \) is a quadrant
of a circle with \( O \) as centre. The area of
the shaded region is
A . \( 10.5 \mathrm{cm}^{2} \)
В. \( 38.5 \mathrm{cm}^{2} \)
\( \mathbf{c} \cdot 49 c m^{2} \)
D. \( 11.5 \mathrm{cm}^{2} \)
Subject: Maths
Sita is driving along a straight highway
in her car. At time \( t=0, \) when Sita is
moving at \( 10 m s^{-1} \) in the positive \( x \)
direction, she passes a signpost at \( \boldsymbol{x}= \)
\( \mathbf{5 0} \) m. Here acceleration is a function of
time:
\( \boldsymbol{a}=\mathbf{2} . \mathbf{0} \boldsymbol{m} \boldsymbol{s}^{-2}-\left(\frac{\mathbf{1}}{\mathbf{1 0}} \boldsymbol{m} \boldsymbol{s}^{-\mathbf{3}}\right) \boldsymbol{t} \)
Derive expressions for her velocity and position as functions of time.
Subject: Physics
The air in the path of lightning goes up to a temperature of about
\( \mathbf{A} \cdot 300^{\circ} C \)
в. \( 3000^{\circ} \mathrm{C} \)
\( \mathbf{c} \cdot 300000^{\circ} \mathrm{C} \)
D. \( 30000^{\circ} \mathrm{C} \)
Subject: Chemistry
Which of the following leaves no residue
on heating?
\( A \cdot P b\left(N O_{3}\right)_{2} \)
B. \( \mathrm{NH}_{4} \mathrm{NO}_{3} \)
\( c \cdot \operatorname{cu}\left(N O_{3}\right)_{2} \)
D. NaNO
Subject: Chemistry
What will be the molar conductance ' \( \boldsymbol{\Lambda} \);
if resistivity is \( x \) for \( 0.1 \mathrm{N} \mathrm{H}_{2} \mathrm{SO}_{4} ? \)
A \( . \quad \Lambda=\frac{x \times 1000}{0.1} \)
в. \( \Lambda=\frac{2 \times 1000}{x \times 0.1} \)
c. \( _{\Lambda}=\frac{x \times 1000}{0.5} \)
D. \( _{\Lambda}=\frac{0.5}{1000 x} \)