AkshitPareek2004/jee-question-analyzer-data huggingface dataset:
Subject: Chemistry
What are the shapes of the molecules of
water and boron trifluoride?
\begin{tabular}{lll} 
& \( \boldsymbol{H}_{2} \boldsymbol{O} \) & \( \boldsymbol{B} \boldsymbol{F}_{3} \) \\
\cline { 1 - 3 }\( _{\mathrm{A}} \) & linear & pyramidal \\
B & linear & trigonal \\
C & non-linear & pyramidal \\
D & non-linear & trigonal
\end{tabular}
\( A \)
B. B
\( c \cdot c \)
D.
Subject: Chemistry
Give the decreasing order of reactivity of the following compounds with \( H B r \)
\( (\mathrm{I}) \)
\( \left.(\mathrm{II}) \mathrm{H}_{3} \mathrm{C}-\bigotimes\right\rangle \)
\( (\mathrm{III}) \mathrm{M}_{\mathrm{e}} \mathrm{O}-\langle\bigcirc\rangle \widehat{\mathrm{O}_{\mathrm{H}}} \)
\( (\mathbf{I V}) \)
Subject: Maths
If \( f^{\prime}(3)=2 \) then
\( \lim _{h \rightarrow 0} \frac{f\left(3+h^{2}\right)-f\left(3-h^{2}\right)}{2 h^{2}} \) is
\( A \)
B. 2
c. 37
\( D \cdot \frac{1}{1} \)
Subject: Maths
The sum to infinite of the series
\( \mathbf{1}+\frac{2}{3}+\frac{6}{3^{2}}+\frac{10}{3^{3}}+\frac{14}{3^{4}}+\dots \dots \)
\( A \cdot 2 \)
B. 3
\( c \cdot 4 \)
D. 6
Subject: Maths
The moon's distance from the earth is
\( 360000 \mathrm{kms} \) and its diameter subtends
an angle of \( 31^{\prime} \) at the eye of the
observer. Find the diameter of the moon.
A . \( 3246.33 \mathrm{km} \)
в. \( 3747.62 \mathrm{kms} \)
c. \( 3400.52 \mathrm{km} \)
D. 3244.72 kms
Subject: Biology
Which of the following statements is incorrect about Dolly, the clone?
A. Dolly was developed from a cell taken from the mammary gland of Scottish blackface ewe and an unfertilized egg obtained from Finn Dorsett sheep
B. The egg produced by the fusion was implanted into Scottish blackface ewe
C. Dolly was identical to Fin Dorsett sheep and was called its done
D. None of these
Subject: Chemistry
The value of \( K_{c} \) for the reaction: \( 2 A \rightleftharpoons \)
\( B+C \) is \( 2 \times 10^{-3} \). At a given time the
composition of reaction mixture is
\( [\boldsymbol{A}]=[\boldsymbol{B}]=[\boldsymbol{C}]=\mathbf{3} \times \mathbf{1 0}^{-4} \boldsymbol{M} . \) In which
direction the reaction will proceed?
A. Forward
B. Backward
c. At equilibrium
D. Forward or Backward
Subject: Chemistry
A solution containing a mixture of \( 0.05 M N a C I \) and \( 0.05 \mathrm{M} \) Nal is taken.
\( \boldsymbol{K}_{s p} \) of \( \boldsymbol{A} \boldsymbol{g} \boldsymbol{C l}=\mathbf{1 0}^{-10} \) and \( \boldsymbol{K}_{s p} \) of \( \boldsymbol{A} \boldsymbol{g} \boldsymbol{I}= \)
\( 4 \times 10^{-16} \) ). When \( A g N O_{3} \) is added to
such a solution
A. \( A g C I \) and \( A g I \) will be precipitate together
B. First \( A g C l \) will be precipitated
C. First \( A g I \) will be precipitated
D. neither \( A g I \) nor \( A g C l \) precipitate
Subject: Biology
Assertion
Lateral-line organs are important in connection with aquatic mode of life.
Reason

They are highly supplied with branches of cranial nerves and they are entirely disappeared in terrestrial forms.
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 Reason is correct
Subject: Maths
Calculate the values of the
determinants:
\( \left|\begin{array}{cccc}\mathbf{7} & \mathbf{1 3} & \mathbf{1 0} & \mathbf{6} \\ \mathbf{5} & \mathbf{9} & \mathbf{7} & \mathbf{4} \\ \mathbf{8} & \mathbf{1 2} & \mathbf{1 1} & \mathbf{7} \\ \mathbf{4} & \mathbf{1 0} & \mathbf{6} & \mathbf{3}\end{array}\right| \)
Subject: Chemistry
\( \boldsymbol{C a O}(\boldsymbol{s})+\boldsymbol{H}_{3} \boldsymbol{O}^{+}+\boldsymbol{C l}^{-} \longrightarrow \)
Addition of solid calcium oxide to a
solution of hydrochloric acid as given, results in the formation of:
(1) \( C a^{2+} \)
(2) \( H_{2} O \)
(3) \( \boldsymbol{H}_{\mathbf{2}} \)
A. If 1,2 and 3 are correct
B. If only 1 and 2 are correct
c. If only 2 and 3 are correct
D. If only 1 is correct
E. If only 3 is correct
Subject: Physics
A straight conductor carries a current. Assume that all free electrons in the
conductor move with the same drift velocity v. A and B are two observers on
a straight line XY parallel to the conductor. A is stationary. B moves along XY with a velocity v in the direction of the free electrons.
A. A and B observe the same magnetic field
B. A observes a magnetic field, B does not
c. A and B observe magnetic fields of the same magnitude but opposite directions
D. A and B do not observe any electric field
Subject: Physics
Find the amplitude response \( \left|\frac{V_{2}}{V_{1}}\right| \) for
the circuit shown in figure. Determine
the half-power frequency.
A \( \cdot \frac{1}{R C} \)
B. \( \frac{\sqrt{2}}{R C} \)
\( c \cdot \frac{\sqrt{3}}{B C} \)
D. \( \frac{2}{R C} \)
Subject: Chemistry
For adsorption of a gas on solid surface, the plot of \( \log \frac{x}{m} \) vs \( \log P \) is linear with
slope equal to:
\( \mathbf{A} \cdot K \)
в. \( \log K \)
c. \( \frac{1}{n K} \)
D. \( \frac{1}{n}(n \text { being integer }) \)
Subject: Maths
If \( \boldsymbol{I}=\int \frac{\boldsymbol{x}^{2}+\boldsymbol{a}^{2}}{\boldsymbol{x}^{4}-\boldsymbol{a}^{2} \boldsymbol{x}^{2}+\boldsymbol{a}^{4}} \boldsymbol{d} \boldsymbol{x} \)
A \( \cdot \frac{1}{a} \tan ^{-1}\left(\frac{a x}{x^{2}-a^{2}}\right)+C \)
B. \( \frac{1}{a} \tan ^{-1}\left(\frac{x^{2}-a^{2}}{a x}\right)+C \)
c. \( \log |x+\sqrt{x^{2}-a^{2}}|+x+C \)
D. none of these
Subject: Maths
\( \frac{\boldsymbol{x}+\mathbf{1}}{(\mathbf{2} \boldsymbol{x}-\mathbf{1})(\mathbf{3} \boldsymbol{x}+\mathbf{1})}=\frac{\boldsymbol{A}}{\mathbf{2} \boldsymbol{x}-\mathbf{1}}+ \)
\( \frac{B}{3 x+1} \Rightarrow 16 A+9 B= \)
\( A \)
B. 5
\( c \cdot 6 \)
\( D \)
Subject: Chemistry
The Gibbs energy for the decomposition
of \( A l_{2} O_{3} \) at \( 500^{\circ} C \) is as follows:
\( \frac{2}{3} A l_{2} O_{3} \rightarrow \frac{4}{3} A l+O_{2} ; \triangle_{r} G= \)
\( +966 k J m o l^{-1} \)
The potential difference needed for the
electrolytic reduction of \( A l_{2} O_{3} \) at \( 500^{\circ} \)
is at least.
\( \mathbf{A} \cdot 2.5 V \)
в. \( 5.0 \mathrm{V} \)
c. \( 4.5 V \)
D. 3.0 \( V \)
Subject: Maths
If \( \boldsymbol{x}^{m} \cdot \boldsymbol{y}^{n}=(\boldsymbol{x}+\boldsymbol{y})^{\boldsymbol{m}+\boldsymbol{n}}, \) then \( \frac{d \boldsymbol{y}}{d \boldsymbol{x}} \) is :
A \( \cdot \frac{y}{2 x} \)
в. \( \frac{2 y}{x} \)
\( c \cdot-\frac{y}{x} \)
D. \( \frac{y}{x} \)
Subject: Physics
A bent tube is lowered into a water
stream as shown in figure above. The
velocity of the stream relative to the tube is equal to \( v=2.5 m / s . \) The closed
upper end of the tube located at the
height \( h_{0}=12 \mathrm{cm} \) has a small orifice.
The height \( h(\text { in } c m) \) the water jet spurt
is \( 2 \times 10^{x} \). Find \( x \)
Subject: Maths
A man marks his goods at a price that would give him \( 20 \% \) profit. He sells \( \frac{3}{5} \) of the goods at the marked price and sells the remaining at \( 20 \% \) discount. Find his gain percent on the whole transaction
A . \( 10.4 \% \)
В. \( 12.7 \% \)
c. \( 15.6 \% \)
D. \( 14.36 \% \)
Subject: Physics
\( A \) starts from rest and moves with an
acceleration \( a_{1} . \) Two seconds later, \( B \)
starts from rest and moves with an
acceleration \( a_{2} \). If the displacement of
\( A \) in the \( 5^{t h} \) second is the same as that
of \( B \) in the same interval, the
accelerations \( a_{1} \) and \( a_{2} \) are
A \( \cdot 2 m / s^{2}, 35 m / s^{2} \)
B . \( 5 \mathrm{m} / \mathrm{s}^{2}, 9 \mathrm{m} / \mathrm{s}^{2} \)
C. \( 11 \mathrm{m} / \mathrm{s}^{2}, 2 \mathrm{m} / \mathrm{s}^{2} \)
D. \( 1 \mathrm{m} / \mathrm{s}^{2}, 10 \mathrm{m} / \mathrm{s}^{2} \)
Subject: Physics
A thermally insulated vessel contains
some water at \( 0^{\circ} \mathrm{C} \). The vessel is
connected to a vacuum pump to pump
out water vapour. This results in some
water getting frozen. It is given Latent heat of vaporization of water at \( 0^{\circ} C= \)
\( 21 \times 10^{5} J / k g \) and latent heat of
freezing water \( =\mathbf{3 . 3 6} \times \mathbf{1 0}^{\mathbf{5}} \mathbf{J} / \mathbf{k g} . \) The
maximum percentage amount of water that will be solidified in this manner
will be
A. \( 86.2 \% \)
B . \( 33.6 \% \)
c. \( 21 \% \)
D. \( 24.36 \% \)
Subject: Maths
Let the formula relation the exterior
angle and number of sides of a polygon
be given as \( n A=360 \)
The measure \( A, \) in degrees, of an
exterior angle of a regular polygon is
related to the number of sides, \( n \), of the
polygon by the formula above. If the measure of an exterior angle of a
regular polygon is greater than \( 50, \) what is the greatest number of sides it can
have?
A. 5
B. 6
\( c .7 \)
D. 8
Subject: Maths
The normal to the curve \( 2 x^{2}+y^{2}=12 \)
at the point (2,2) cuts the curve again
at
\( ^{\mathbf{A}} \cdot\left(-\frac{22}{9},-\frac{2}{9}\right) \)
в. \( \left(\frac{22}{9}, \frac{2}{9}\right) \)
c. (-2,-2)
D. none of these
Subject: Maths
The value of \( \cos \left[\frac{1}{2} \cos ^{-1} \cos \left(-\frac{14 \pi}{5}\right)\right] \) is
\( \mathbf{A} \cdot \cos \left(-\frac{7 \pi}{5}\right) \)
B \cdot \( \sin \left(-\frac{\pi}{10}\right) \)
\( \mathbf{c} \cdot \cos \left(\frac{2 \pi}{5}\right) \)
D. \( -\cos \left(\frac{3 \pi}{5}\right) \)
Subject: Chemistry
Consider the following isomerism:
(i) ionization (ii) hydrate (iii) coordination (iv) geometrical (v) optical Which of the above isomerisms are
exhibited by \( \left[\boldsymbol{C r}\left(\boldsymbol{N} \boldsymbol{H}_{3}\right)_{2}(\boldsymbol{O} \boldsymbol{H})_{2} \boldsymbol{C l}_{2}^{-} ?\right. \)
\( A \cdot \) (i) and (v)
B. (ii) and (iii)
c. (iii), (ii) and (i)
D. (iv) and (v)
Subject: Maths
Let \( u_{1} \) and \( u_{2} \) be two urns such that \( u_{1} \)
contains 3 white, 2 red balls and \( u_{2} \)
contains only 1 white ball. A fair coin is tossed. If head appears, then 1 ball is
drawn at random from urn \( u_{1} \) and put
into \( u_{2} . \) However, if tail appears, then 2
balls are drawn at random from \( u_{1} \) and
put into \( u_{2} . \) Now, 1 ball is drawn at
random from \( u_{2} \). Then, probability of the
drawn ball from \( u_{2} \) being white is
A \( \cdot \frac{13}{30} \)
в. \( \frac{23}{30} \)
c. \( \frac{19}{30} \)
D. \( \frac{11}{30} \)
Subject: Maths
Consider a circle of radius \( R \). What is
the length of a chord which subtends an
angle \( \theta \) at the centre?
\( ^{\mathrm{A}} \cdot_{2 R \sin \frac{\theta}{2}} \)
B. \( 2 R \sin \theta \)
c. \( _{2 R \tan \frac{\theta}{2}} \)
D. \( 2 R \tan \theta \)
Subject: Physics
The black body spectrum of an object
\( O_{1} \) is such that its radiant intensity (i.e. intensity per unit wavelength interval) is maximum at a wavelength of 200
nm. Another object \( O_{2} \) has the maximum radiant intensity at \( 600 \mathrm{nm} \) The ratio of power emitted per unit area by source 01 to that of source 02 is
A .1: 8
B. 1: 9
c. 9: 1
D. 81:
Subject: Physics
The number of electrons to be put on a
spherical conductor of radius \( 0.1 m \) to
produce an electric field of \( 0.036 N / C \)
just above its surface is
A \( \cdot 2.7 \times 10^{5} \)
В. \( 2.6 \times 10^{5} \)
c. \( 2.5 \times 10^{5} \)
D. \( 2.4 \times 10^{5} \)
Subject: Physics
A solid sphere of radius \( R \) has a charge
\( Q \) distributed in its volume with a
charge density \( \rho=\kappa r^{a}, \) where \( \kappa \) and \( a \)
are constants and \( r \) is the distance
from its centre.
If the electric field at \( r=\frac{R}{8} \) is \( \frac{1}{8} \) times
that at \( r=R, \) find the value of \( a \)
A . 2.0
B. 3.2
c. 2.5
D. 0.2
Subject: Physics
In the figure shown the radius of
curvature of the left \( \& \) right surface of
the concave lens is \( 10 \mathrm{cm} \& 15 \mathrm{cm} \)
respectively. The radius of curvature of
the mirror is \( 15 \mathrm{cm} \)
A. Equivalent focal length of the combination is \( 18 \mathrm{cm} \)
B. Equivalent focal length of the combination is \( +36 \mathrm{cm} \)
c. The system behaves like a concave mirror
D. The system behaves like a convex mirror
Subject: Maths
Find a
\( \lim _{\boldsymbol{\theta} \rightarrow \boldsymbol{\pi}} \frac{\sqrt{(\mathbf{2}-\cos \boldsymbol{\theta})}-\mathbf{1}}{(\boldsymbol{\pi}-\boldsymbol{\theta})^{2}} \) is \( =\frac{\mathbf{1}}{\boldsymbol{a}} \)
Subject: Physics
A light wave is incident normally over a slit of width \( 24 \times 10^{-5} \mathrm{cm} . \) The angular
position of second dark fringe from the
central maxima is \( 30^{\circ} . \) What is
wavelength of light?
в. 5000 月
c. \( 3000 \hat{h} \)
D. 1500 月
Subject: Maths
The total number of real tangents that
can be drawn to the ellipse \( 3 x^{2}+ \) \( 5 y^{2}=32 \) and \( 25 x^{2}+9 y^{2}=450 \)
passing through (3,5) is
\( A \cdot 0 \)
B . 2
\( c .3 \)
D.
Subject: Maths
n quadrilateral ABCD \( \angle \mathrm{B}=90^{\circ}, \angle \mathrm{C}-\angle \)
\( \mathrm{D}=\mathbf{6 0}^{\circ} \) and \( \angle \mathbf{A}-\angle \mathbf{C}-\angle \mathbf{D}=\mathbf{1 0}^{\circ} . \) Find
\( A, \angle C \) and \( \angle D \)
Subject: Chemistry
Dinitrogen and dihydrogen react with each other to produce ammonia according to the following chemical equation:
\( N_{2}(g)+H_{2}(g) \rightarrow 2 N H_{3}(g) \)
(i) Calculate the mass of ammonia
produced if \( 2.00 \times 10^{2} g \) dinitrogen
react with \( 1.00 \times 10^{3} g \) of dihydrogen
(iii) Will any of the two reactants remain unreacted?
(iii) If yes, which one and what would be its mass?
Subject: Maths
The greatest value of the function \( \mathbf{f}(\mathbf{x})=\sin \left\{\boldsymbol{x}[\boldsymbol{x}]+\mathbf{e}^{[x]}+\frac{\boldsymbol{\pi}}{2}-1\right\} \) for all
\( \boldsymbol{x} \in[\mathbf{O}, \infty) \) is
\( A \cdot-1 \)
B.
\( c \)
D.
Subject: Maths
The order of the differential equation
whose solution is
\( \boldsymbol{y}=\boldsymbol{c}_{1} \boldsymbol{e}^{\boldsymbol{x}}+\boldsymbol{c}_{2} \sin \boldsymbol{x}+\boldsymbol{c}_{3} \cos \boldsymbol{x} \) is
\( A \cdot 4 \)
B. 3
\( c \cdot 2 \)
\( D \)
Subject: Maths
A straight line \( x=y+2 \) touches the
\( \operatorname{circle} 4\left(x^{2}+y^{2}\right)=r^{2} . \) The value of \( r \) is
A \( \cdot \sqrt{2} \)
B. \( 2 \sqrt{2} \)
\( c \cdot 2 \)
\( D \)
Subject: Physics
A particle of mass \( \mathrm{m} \) is projected from
ground with velocity u making angle \( \theta \) with the vertical. The de Broglie wavelength of the particle at the highest point is
\( A \cdot \infty \)
B. \( h / m u \) sin \( \theta \)
c. \( h / m u \cos \theta \)
\( \mathbf{D} \cdot h / m u \)
Subject: Chemistry
Assertion
Anode is the electrode at which
oxidation occurs and cathode is the
electrode at which reduction occurs.
Reason

Anode and cathode in electrochemical
cells and electrolytic cells have opposite
polarity.
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 square of side \( 2.0 \mathrm{m} \) is placed in a
uniform magnetic field \( \mathbf{B}=\mathbf{2 . 0} \mathbf{T} \) in a
direction perpendicular to the plane of the square inwards. Equal current
\( \mathbf{i}=\mathbf{3 . 0 A} \) is flowing in the directions shown in figure. Find the magnitude of the magnetic force on the loop.
Subject: Physics
Give band gap Eg value for conductor,
insulator and semiconductor?
A. Conductor \( <1 M e V \), insulation \( \geq 6 e V \), semiconductor
\( \approx 8 e V \)
B. Conductor \( <1 M e V \), insulation \( \geq 6 e V \), semiconductor
\( \approx 1 e V \)
C. Conductor \( <2 M e V \), insulation \( \geq 6 e V \), semiconductor
\( \approx 1 e V \)
D. Conductor< \( 1 \mathrm{MeV} \), insulation \( \geq 7 \mathrm{eV} \), semiconductor
\( \approx 1 e V \)
Subject: Chemistry
The decreasing order of \( p K_{a} \) value of the given is:
(I) \( \mathbf{C H} \equiv \mathbf{C H} \)
\( (\mathbf{I I}) \)
A \( .(I I I)>(I)>(I I) \)
в. \( (I I)>(I)>(I I I) \)
c. \( (I)>(I I I)>(I I) \)
D. \( (I)>(I I)=(I I I) \)
Subject: Physics
Three particles of masses \( 1 \mathrm{kg}, 2 \mathrm{kg} \) and \( 3 \mathrm{kg} \) are situated at the corners of the equilateral triangle move at speed \( 6 \mathrm{ms} \) \( -1,3 \mathrm{ms}^{-1} \) and \( 2 \mathrm{ms}^{-1} \) respectively
Each particle maintains a direction
towards the particle at the next corner symmetrically. Find velocity of COM of the system at this instant:
\( \mathbf{A} \cdot 3 m s^{-1} \)
B. \( 5 m s^{-1} \)
\( \mathrm{c} \cdot 6 \mathrm{ms}^{-1} \)
D. zero
Subject: Physics
An electric bulb is made of tungsten
filament of resistance \( R \Omega \). It is marked
\( 100 W \) and \( 230 V . \) Then, the value of \( R \) is
A. \( 300 \Omega \)
в. \( 529 \Omega \)
\( \mathbf{c} .739 \Omega \)
D. \( 100 \Omega \)
Subject: Physics
An ideal gas initially at \( 30 K \) undergoes
an isobaric expansion at 2.50 kPa. If
the volume increases from \( 1.00 m^{3} \) to
\( 3.00 m^{3} \) and \( 12.5 k J \) is transferred to
the gas by heat, What is the change in its internal energy?
\begin{tabular}{l} 
A \( .7500 \mathrm{J} \) \\
\hline
\end{tabular}
в. \( 7000 J \)
c. \( 700 J \)
D. \( 750 J \)
Subject: Chemistry
Assertion
Melting point of \( M n \) is more than that
of \( \boldsymbol{F e} \)
Reason
Mn has higher number of unpaired \( e^{-} \)
than \( F e \) in atomic state
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
Solve the set of equations: \( 3(2 u+v)= \)
\( \mathbf{7} \boldsymbol{u} \boldsymbol{v} \) and \( \boldsymbol{3}(\boldsymbol{u}+\boldsymbol{3} \boldsymbol{v})=\mathbf{1 1} \boldsymbol{u} \boldsymbol{v} \)
A \( \cdot u=1 ; v=\frac{3}{2} \)
в. \( u=2 ; v=\frac{1}{2} \)
c. \( u=2 ; v=\frac{5}{4} \)
D. \( u=5 ; v=\frac{7}{4} \)
Subject: Physics
Two sphere's are isolated from each other. They each have an identical net positive charge and have the same radius, however, one sphere is solid and insulating, while the other is a hollow conducting sphere whose charge is uniformly distributed. For which sphere is the electric field the
greatest distance \( x \) from the center of
the spheres? Assume \( x \) is less than the radius of the
spheres.
A. The conducting hollow sphere has a greater E-field.
B. The insulating solid sphere has a greater E field
c. Both spheres have the same E field
D. Neither sphere would cause there to be an Electric field
Subject: Maths
If \( D_{30} \) is the set of all divisors of
\( \mathbf{3 0}, \boldsymbol{x}, \boldsymbol{y} \boldsymbol{\epsilon} \boldsymbol{D}_{30}, \) we define \( \boldsymbol{x}+\boldsymbol{y}= \)
\( \boldsymbol{L} \boldsymbol{C} \boldsymbol{M}(\boldsymbol{x}, \boldsymbol{y}), \boldsymbol{x} \cdot \boldsymbol{y}=\boldsymbol{G} \boldsymbol{C} \boldsymbol{D}(\boldsymbol{x}, \boldsymbol{y}), \boldsymbol{x}^{\prime}= \)
\( \frac{30}{x} \) and \( f(x, y, z)=(x+y) \cdot\left(y^{\prime}+z\right) \)
then \( f(2,5,15) \) is equal to
A .2
B. 5
c. 10
D. 15
Subject: Biology
Stomatal index 'I' is equal to (where \( \mathrm{S}= \) number of stomata per unit area and \( \boldsymbol{E}= \) number of epidermal
cells in the same unit area)
\( A \cdot \frac{s}{E-s} \)
B. \( \frac{s}{E+s} \)
\( \mathbf{c} \cdot \frac{E}{S+S} \)
D. \( \frac{E+S}{E} \)
Subject: Maths
In a company, the average income of all the employees is \( R s .20000 \) per month
recently the company announced the increment of \( \boldsymbol{R} \boldsymbol{s} . \boldsymbol{2 0 0 0} \) per month for all
the employees, the new average is
A. \( R s .22000 \)
B . Rs.24000
c. \( R s .28000 \)
D. \( R s .26000 \)
Subject: Physics
A thin uniform bar of length L and mass \( 8 \mathrm{m} \) lies on a smooth horizontal table.
Two point masses \( m \) and 2 m are moving in the same horizontal plane from opposite sides of the bar with
speeds \( 2 v \) and \( v \) respectively. The masses stick to the:
A \( \cdot \frac{6 v}{5 l} \)
в. \( \frac{3 v}{5 l} \)
c. \( \frac{6 v}{11 l} \)
D. \( \frac{6 v}{l} \)
Subject: Chemistry
The equilibrium constant \( \boldsymbol{K}_{\boldsymbol{p}} \) for the
reaction \( \boldsymbol{P} \boldsymbol{C l}_{5(g)} \leftrightharpoons \boldsymbol{P} C l_{3(g)}+\boldsymbol{C l}_{2(g)} \) is
16. If the volume of the container is
reduced to half of its original volume,
the value of \( K_{p} \) for the reaction at the
same temperature will be :
A . 32
B. 64
\( c \cdot 16 \)
D. 4
Subject: Physics
The wire is found to vibrate in the third
harmonic.The time when the emf
becomes maximum for the first time is
A \( \cdot \frac{2 \pi}{\omega} \)
B. \( \frac{\pi}{\omega} \)
c. \( \frac{\pi}{2 \omega} \)
\( D \cdot 2 \pi \)
1
Subject: Chemistry
Assertion
The ratio of specific conductivity to the observed conductance does not depend upon the concentration of the solution
taken in the conductivity cell.
Reason
The specific conductivity decreases with dilution whereas observed
conductance increases with the
dilution.
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
The figure shows a part of an electric
circuit. The wires \( A B, C D \) and \( E F \) are long
and have identical resistances. The
separation between the neighboring
wires is \( 1.0 \mathrm{cm} \). The wires EA and BF have
negligible resistance and the ammeter
reads 30 A. Calculate the magnetic force
per unit length on \( A B \) and \( C D \)
Subject: Physics
How many electrons constitute a
current of one microampere?
\( \mathbf{A} \cdot 6.25 \times 10^{6} \)
B. \( 6.25 \times 10^{12} \)
\( \mathbf{C} \cdot 6.25 \times 10^{9} \)
D. \( 6.25 \times 10^{15} \)
Subject: Physics
Two thin wire rings each having a
radius \( R \) are placed at a distance
d apart with their axes coinciding. The
charges on the two rings are \( +q \) and \( -q \) The potential difference between the
centres of the two rings is
A \( \cdot \frac{Q \cdot R}{4 \pi \varepsilon d^{2}} \)
B \( \cdot \frac{Q}{2 \pi \varepsilon_{0}}\left[\frac{1}{R}-\frac{1}{\sqrt{R^{2}+d^{2}}}\right] \)
c. \( \frac{Q}{4 \pi \varepsilon_{0}}\left[\frac{1}{R}-\frac{1}{\sqrt{R^{2}+\bar{d}^{2}}}\right] \)
D.
Subject: Physics
Which of the following statements for a
rigid object undergoing pure
translational motion are false?
This question has multiple correct options
A. If an object receives an impulse its kinetic energy must change.
B. An object's kinetic energy can change without the object changing momentum.
C. An object can receive a net impulse without any work being done on it
D. A force may do work on an object without delivering any change in momentum.
Subject: Chemistry
The volume of \( 10 \mathrm{N} \) and \( 4 \mathrm{N} \) HCl required to make 1 L of 7 N HCl are:
A. \( 0.5 \mathrm{L} \) of \( 10 \mathrm{N} \) HCl and 0.4 Lof \( 4 \mathrm{N} \) HC (1)
B. 0.6 L of 10 N HCl and 0.6 L of 4 N HCI
c. 0.8 L of \( 10 \mathrm{N} \) HCl and \( 0.7 \mathrm{L} \) of \( 4 \mathrm{N} \) HC
D. 0.75 L of 10 N HCl and 0.4 L of 4 N HCI
Subject: Physics
A body is \( 1.8 m \) tall can see his image in a plane mirror fixed on a wall. His eyes
are \( 1.6 m \) from the floor level. The
minimum length of the mirror to see his full image is
A. \( 0.9 m \)
B. \( 0.85 m \)
\( c .0 .8 m \)
D. can't be determined
Subject: Physics
A mark placed on the surface of a sphere is viewed through glass from a position directly opposite. If the diameter of the sphere is \( 10 \mathrm{cm} \) and refractive index of glass is \( 1.5 . \) The position of the image will be :
\( A .-20 \mathrm{cm} \)
B. 30 cm
c. \( 40 \mathrm{cm} \)
D. -10 cm