AkshitPareek2004/jee-question-analyzer-data huggingface dataset:
Subject: Chemistry
a)Write a note on convent or molecular
hydrides. Give examples
b) What is water-gas shift reaction?
c)Write any three postulated of Dalton's atomic theory.
d)What is empirical formula? Give an example of a compound whose empirical formula and molecular formula are same
e)What is intensive property of a system? Pickout the intensive property from mass. internal energy density and
volume.
f) Describe the experiment to determine the internal energy change by bomb calorimeter with neat labelled diagram.
Subject: Chemistry
Assertion
The Brownian movement is due to the
bombardment of collodial particles by the molecules of dispersion medium which are in the constant motion like
molecules in a gas.
Reason
Brownian movement provides a visible proof of the random kinetic motion of molecules in a liquid.
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 incorrect but Reason is correct
D. Both Assertion and Reason are correct
Subject: Physics
toppr
Q Type your question
wires have same length, but thickness
of wire \( \mathrm{B} \) is twice that of wire \( \mathrm{A} \). The
conducting wires connecting \( A \) and \( B \)
to the ideal cell are resistance less. The
dependence of electric potential on
position along the length of two wires is given in option.
\( A \)
B.
\( c \)
D.
\( E \)
Subject: Physics
Consider driving in a car at 65 MPH while drinking a cup of coffee. Which of the following would be traveling at the greatest speed?
A. The car, coffee and you are traveling at the same velocity
B. The coffee is traveling with the greatest velocity assuming it has the least mass
c. The car is the only object with velocity, as the other objects are within the car
D. None of the objects have velocity, as they are all traveling together
E. As velocity is a function of speed and direction, this question cannot be answered
Subject: Maths
The angle between the lines \( x \cos \alpha+ \)
\( \boldsymbol{y} \sin \boldsymbol{\alpha}=\boldsymbol{p}_{1} \) and \( \boldsymbol{x} \cos \boldsymbol{\beta}+\boldsymbol{y} \sin \beta=\boldsymbol{p}_{2} \)
where \( \boldsymbol{\alpha}>\boldsymbol{\beta} \) is
\( \mathbf{A} \cdot \alpha+\beta \)
B. \( \alpha-\beta \)
\( c \cdot \alpha \beta \)
D. \( 2 \alpha-\beta \)
Subject: Maths
f \( x+y+z=0 \) then what is the value
of
\( \frac{1}{x^{2}+y^{2}-z^{2}}+\frac{1}{y^{2}+z^{2}-x^{2}}+ \)
\( \frac{1}{z^{2}+x^{2}-y^{2}} \)
A \( \cdot \frac{1}{x^{2}+y^{2}+z^{2}} \)
в.
c. -1
D.
Subject: Chemistry
\( \operatorname{Given} \boldsymbol{E}_{\boldsymbol{C r}^{3+} / \boldsymbol{C r}}^{\circ}=-\mathbf{0 . 7 2}, \boldsymbol{E}_{\boldsymbol{F e}^{2+} / \boldsymbol{F} e}^{\circ}= \)
\( -\mathbf{0 . 4 2} \boldsymbol{V} \)
The potential for the cell, \( \boldsymbol{C r}\left|\boldsymbol{C r}^{3+}(\mathbf{0 . 1} \boldsymbol{M}) \| \boldsymbol{F} \boldsymbol{e}^{2+}(\mathbf{0 . 0 1 M})\right| \boldsymbol{F e} \) is:
A \( .-0.26 V \)
B . \( 0.26 V \)
\( \mathrm{c} .0 .339 \mathrm{V} \)
D. \( -0.339 V \)
Subject: Maths
Fo matrices \( A, B \)
\( \boldsymbol{\alpha}(\boldsymbol{A}+\boldsymbol{B})= \)
A. \( \alpha A+\alpha B \)
B . \( \alpha^{2} A+\alpha^{2} B \)
c. \( \sqrt{\alpha} A+\sqrt{\alpha} B \)
D. none
Subject: Physics
In figure, there is a conducting ring having resistance \( R \) placed in the plane
of paper in a uniform magnetic field \( B_{0} \) If the ring is rotating in the plane of paper about an axis passing through
point \( \boldsymbol{O} \) and perpendicular to the plane
of paper with constant angular speed \( \omega \) in clockwise direction, then
A. point \( O \) will be at higher potential than \( A \)
B. the potential of point \( B \) and \( C \) will different
c. the current in the ring will be zero
D. the current in the ring will be \( 2 B_{0} \omega r^{2} / R \)
E. answer required
Subject: Chemistry
The correct order of \( K_{b} \) value of
following is:
\( \left(\boldsymbol{C}_{2} \boldsymbol{H}_{5}\right)_{2} \ddot{\boldsymbol{N}} \boldsymbol{H}, \boldsymbol{N} \boldsymbol{H}_{3}, \ddot{\boldsymbol{N}}\left(\boldsymbol{C}_{2} \boldsymbol{H}_{5}\right)_{3} \)
\( \mathbf{A} \cdot 1>2>3 \)
В. \( 1>3>2 \)
c. \( 3>2>1 \)
D. \( 3>1>2 \)
Subject: Chemistry
\( N a C N \) is sometimes added in the forth
flotation process as a depressant when
\( Z n S \) and \( P b S \) minerals are expected
because:
A \( \cdot P b(C N)_{2} \) is precipitated while no effect as \( Z n S \)
B. \( Z n S \) forms soluble complex \( N a_{2}\left[Z n(C N)_{4}\right] \) while \( P b S \) forms froth
c. \( P b S \) forms soluble complex \( N a_{2}\left[P b(C N)_{4}\right] \) while \( Z n S \) forms froth
D. \( N a C N \) is never added in froth flotation process
Subject: Chemistry
A \( 10 \% \) (w/w) solution of cane sugar has
undergone partial inversion according
to the reaction:
sucrose \( + \) water \( \rightarrow \) glucose \( + \) fructose The boiling point of the solution is
\( 100.7^{\circ} \mathrm{C} . \) What fraction of sugar has
inverted? \( \left[\boldsymbol{K}_{\boldsymbol{b}}\left(\boldsymbol{H}_{\mathbf{2}} \boldsymbol{O}\right)=\mathbf{1 . 8} \boldsymbol{K} \boldsymbol{g} \boldsymbol{K} \boldsymbol{m o l}^{-1}\right] \)
A. 0.5
B. 0.2
\( c \cdot 0.3 \)
D. 0.4
Subject: Physics
A block of mass 1 gm executes an
oscillatory motion (sliding) on a
concave surface of radius of curvature
2m. If the particle starts its motion from
a point at a height of I cm from the
horizontal and the coefficient of friction
is \( 0.01, \) then the total distance covered
by the particle before it comes to rest,
will be (approx)
A. \( 5.001 \mathrm{m} \)
B. 0,015 m
\( c \cdot 1.005 \mathrm{m} \)
D. none of these
Subject: Physics
A road runs midway between two parallel rows of buildings. A motorist moving with a speed of \( 36 \mathrm{km} / \) hour sounds the horn. He hears the echo one
second after he has sounded the horn. The distance between the 2 rows of
buildings is (Velocity of sound is 330 \( \mathrm{m} / \mathrm{s}) \)
A. 300 \( m \)
B. 150 \( m \)
\( c \cdot 1080 m \)
D. 330 m
Subject: Chemistry
In the extraction of aluminium metal,
one of the process is summarised as
follows:
Which of the following entries correctly
summarises reagents, electrodes and
products of the process?
A. \( \begin{array}{ccccc}A & B & C & D & E \\ N a O H & A l^{3+} & H F & N a_{3} A l F_{6} & \text {Cathode}\end{array} \)
B. \( \begin{array}{ccc}A & B & C \\ _{N a} O H & N a A l O_{2} & C O_{2}\end{array} \)
\( D \)
\( E \) NaF Anode
\( c \)
\( \begin{array}{cc}A & B \\ H_{2} S O_{4} & A l_{2}\left(S O_{4}\right)_{3}\end{array} \)
\( C \)
Cathode \( N H_{3} \) \( N a_{3} A l F_{6} \)
D. \( \begin{array}{cc}A & B \\ N a O H & N a A l O_{2}\end{array} \) \( C \) \( D \)
\( a_{2} A l \) \( E \)
Cathode \( \mathcal{P}_{2} \quad N a_{3} A l F_{6} \)
Subject: Physics
A specimen of iron of permeability \( 8 \times \)
\( 10^{-3} \) Weber/A m is placed in a
magnetic field of strength \( 160 \mathrm{A} / \mathrm{m} \) Magnetic induction in this iron is:
\( \mathbf{A} \cdot 0.8 W b / m^{2} \)
B. \( 5 \times 10^{5} \mathrm{Wb} / \mathrm{m}^{2} \)
c. \( 1.28 W b / m^{2} \)
D . \( 20 \times W b / m^{2} \)
Subject: Physics
The speed of propagation of a wave in a medium is \( 300 \mathrm{m} / \mathrm{s} \). The equation of
motion of point at \( x=0 \) is given by \( y= \) \( 0.04 \sin 600 \pi t(\text { metre }) . \) The
displacement of a point \( x=75 \mathrm{cm} \) at \( t= \) \( 0.01 \mathrm{s} \) is
A . \( 0.02 \mathrm{m} \)
B. 0.04 \( m \)
c. zero
D. \( 0.028 \mathrm{m} \)
Subject: Physics
In a medium in which a transverse
progressive wave is travelling the phase difference between two points with a distance of separation \( 1.25 \mathrm{cm} \) is \( \frac{\pi}{4} . \)
the frequency of the wave is \( 1000 H z \)
its velocity will be
A \( \cdot 10^{4} m / s \)
в. \( 125 \mathrm{m} / \mathrm{s} \)
c. \( 100 m / s \)
D. \( 10 \mathrm{m} / \mathrm{s} \)
Subject: Maths
Integrating factor of \( \frac{\boldsymbol{d} \boldsymbol{y}}{\boldsymbol{d} \boldsymbol{x}}+\frac{\mathbf{1}}{\boldsymbol{x} \log \boldsymbol{x}} \boldsymbol{y}= \)
\( \frac{2}{x^{2}} \) is:
A \( \cdot e^{x} \)
B. \( \log x \)
\( c \cdot \frac{1}{x} \)
D \( \cdot e^{-x} \)
Subject: Physics
An open capillary tube contains a drop
of water. When the tube is in its vertical
position, the drop forms a column with a length of \( 2.98 \mathrm{cm} \). The internal
diameter of the capillary tube is 1 mm.
The radii of curvature of the upper meniscus (in \( \mathrm{mm} \) )is \( \frac{x}{4} \). Consider the wetting to be complete. Surface tension of water \( =0.0075 N / m . \) Find the value
of \( x \)
Subject: Physics
A charged spherical conductor has a
surface charge density of \( 0.07 C / m^{2} \)
When its charge is increased by \( 0.44 C \) the charge density changes by 0.14 \( C / m^{2} . \) The radius of the sphere is :
A . \( 5 \mathrm{cm} \)
в. \( 10 m \)
c. \( 0.5 m \)
D. \( 5 m \)
Subject: Maths
\( \lim _{x \rightarrow a}(x-a)\left(\frac{1}{x-a}-\frac{1}{x^{2}-(a+b) x+}\right. \)
\( = \)
A \( \cdot \frac{a-b-1}{a-b} \)
B.
\( c \)
D. \( \frac{a+b}{a-b} \)
Subject: Physics
In toroid magnetic field on axis will be
radius \( =0.5 \mathrm{cm}, \) current \( =1.5 \mathrm{A}, \) turns
\( =250, \) permeability \( =700 \)
\( \mathbf{A} \cdot 7.5 \) Tesla
B. 10.5 Tesla
c. 4.5 Tesla
D. 15.5 Tesla
Subject: Physics
A uniform scale is kept in equilibrium
when supported at the \( 60 \mathrm{cm} \) mark and
a mass \( M \) is suspended from the
\( 90 \mathrm{cm} \) mark as shown in the figure.
State with reasons whether the weight
of the scale is greater than, less than or
equal to mass \( M \)
\( \mathbf{A} \cdot 3 M \)
в. \( 4 M \)
\( c .5 M \)
D. \( M \)
Subject: Maths
Let the p.m.f. of a random variable \( \boldsymbol{X} \) be
\( P(x)=\frac{3-x}{10} \) for \( x=-1,0,1,2 \)
otherwise
Then \( \boldsymbol{E}(\boldsymbol{X}) \) is
\( \mathbf{A} \cdot \mathbf{1} \)
B . 2
c. 0
D. -
Subject: Chemistry
Among \( \boldsymbol{C a} \boldsymbol{H}_{2}, \boldsymbol{N} \boldsymbol{H}_{3}, \boldsymbol{N a H} \) and \( \boldsymbol{B}_{2} \boldsymbol{H}_{6} \)
which are covalent hydrides?
\( \mathbf{A} \cdot N H_{3} \) and \( B_{2} H_{6} \)
в. \( N a H \) and \( C a H_{2} \)
c. \( N a H \) and \( N H_{3} \)
D. \( C a H_{2} \) and \( B_{2} H_{6} \)
Subject: Chemistry
Tyndall effect is applicable when:
This question has multiple correct options
A. the diameter of the dispersed particle is not much smaller than the wavelength of the light used
B. the diameter of the dispersed particles is much smaller than the wavelength of the light used
C. the refractive indices of the dispersed phase and the dispersion medium are the same
D. the refractive indices of the dispersed phase and the dispersion medium differ greatly in magnitude
Subject: Physics
If an object moves towards a plane
mirror with a speed \( \boldsymbol{v}: \)
A. the image moves away from the mirror with a speed \( v \)
B. the image moves away from the mirror with a speed \( 2 v \)
C. the image moves towards the mirror with a speed \( v \)
D. the image moves towards the mirror with a speed \( 2 v \)
Subject: Maths
The surface area of a cube of side is
\( 27 \mathrm{cm} \) is:
\( \mathbf{A} \cdot 2916 \mathrm{cm}^{2} \)
В. \( 729 \mathrm{cm}^{2} \)
\( \mathbf{c} \cdot 4374 c m^{2} \)
D. \( 19683 c m^{2} \)
Subject: Physics
A ball is dropped from the top of a
building. The ball takes 0.5 s to fall past the window \( 3 \mathrm{m} \) in length at certain distance from the top of the building. \( \boldsymbol{g}=\mathbf{1 0} \boldsymbol{m} \boldsymbol{s}^{-2} \mathbf{)} \)
Speed of the ball as it crosses the top edge of the window is
A. \( 3.5 \mathrm{ms}^{-1} \)
B. \( 8.5 \mathrm{ms}^{-1} \)
c. \( 5 m s^{-1} \)
D. \( 12 \mathrm{ms}^{-1} \)
Subject: Chemistry
At \( 320 K, \) a gas \( A_{2} \) is \( 20 \% \) dissociated
to \( A(g) \). The standard free energy change at \( 320 K \) and 1 atm in \( J \) mol \( ^{-1} \)
is approximately:
\( \left[\boldsymbol{R}=\mathbf{8 . 3 1 4} \boldsymbol{J} \boldsymbol{K}^{-1} \boldsymbol{m o l}^{-1} ; \ln \mathbf{2}=\mathbf{0 . 6 9 3}\right. \)
A. 4763
B. 2068
c. 4281
D. 1844
Subject: Maths
\( S \) and \( T \) are the foci of an ellipse and \( B \)
is an end of the minor axis, if \( \triangle \boldsymbol{S T B} \) is
equilateral, then \( e \) is equals to:
A \( \cdot \frac{1}{4} \)
B. \( \frac{1}{3} \)
\( c \cdot \frac{1}{2} \)
D. None of these
Subject: Chemistry
An electron has a speed of \( 40 \mathrm{m} / \mathrm{s} \) accurate up to \( 99.99 \% \). what is the uncertainty in locating its position(in
\( \mathrm{m}) ? \)
A. \( 0.0144 \mathrm{m} \)
B. 0..0258m
c. \( 0.0568 \mathrm{m} \)
D. 0.0395m
Subject: Physics
A SONAR (sound navigation and ranging) uses ultrasonic waves to
detect and locate objects under water In a submarine equipped with a SONAR the time delay between generation of a probe wave and the reception of its echo after reflection from an enemy
submarine is found to be 77.0 s. What is
the distance of the enemy submarine?
(Speed of sound in water \( =1450 m s^{-1} \) ).
Subject: Chemistry
\( \boldsymbol{K}_{s p} \) of \( M \boldsymbol{g}(\boldsymbol{O} \boldsymbol{H})_{2} \) is \( 1 \times \)
\( \mathbf{1 0}^{-\mathbf{1 2}}, \mathbf{0 . 0 1} \boldsymbol{M} \mathbf{M g} \mathbf{C l}_{\mathbf{2}} \) will
be precipitating at the limiting pH:
\( A \cdot 8 \)
B. 9
\( c \cdot 10 \)
D. 12
Subject: Maths
If \( x \) is a random variable with
probability distribution \( \boldsymbol{p}(\boldsymbol{x}=\boldsymbol{k})= \)
\( \frac{(\boldsymbol{k}+\mathbf{1}) \boldsymbol{C}}{\mathbf{2}^{k}}, \boldsymbol{k}=\mathbf{0}, \mathbf{1}, \mathbf{2}, \mathbf{3}, \dots \dots \dots \dots, \) then
find \( C \)
Subject: Maths
\( A B C D \) is a quadrilateral, \( E \) is the point of intersection of the line joining the midpoints of the opposite sides. If \( O \) is any point and \( \overrightarrow{O A}+\overrightarrow{O B}+\overrightarrow{O C}+ \) \( \overrightarrow{O D}=x \vec{O} E, \) then \( x \) is equal to
\( A \cdot 3 \)
B. 9
\( c \cdot 7 \)
D.
Subject: Maths
The slope of a straight line passing through \( A(-2,3) \) is \( -4 / 3 . \) The points on the line that are 10 units away from \( A \)
are
A \( .(-8,11),(4,-5) \)
B. (-7,9), (17-1)
c. (7,5)(-1,-1)
D. (6,10),(3,5)
Subject: Maths
If the vectors \( \vec{a}, \vec{b} \) and \( \vec{c} \) are represented by the sides \( B C, C A \) and \( A B, \) of a triangle respectively, then
\( \mathbf{A} \cdot \vec{a} \cdot \vec{b}+\vec{b} \cdot \vec{c}+\vec{c} \cdot \vec{a}=0 \)
В . \( \vec{a} \times \vec{b}=\vec{b} \times \vec{c}=\vec{c} \times \vec{a} \)
c. \( \vec{a} \cdot \vec{b}=\vec{b} \cdot \vec{c}=\vec{c} \cdot \vec{a} \)
D. \( \vec{a} \times \vec{b}+\vec{b} \times \vec{c}+\vec{c} \times \vec{a}=0 \)
Subject: Physics
Velocity of a particle of mass \( 2 \mathrm{Kg} \) varies with time \( t \) according to the equation \( \boldsymbol{v}=(\mathbf{2} \boldsymbol{t} \hat{\boldsymbol{i}}+\boldsymbol{4} \hat{\boldsymbol{j}}) \mathrm{m} / \mathrm{s} . \) Here \( \mathrm{t} \) is in seconds.
Find the impulse imparted to the particle in the time interval from \( t=0 \) to \( t=2 s \)
Subject: Physics
The following table represents the distance of a car at different instants in
a fixed direction.
Time
\[
1 \quad 2
\]
(s)
Distance \( \quad \) o \( \quad \) 10 \( \quad \) 20 \( \quad \) 30
\( (m) \)
Which of the following is/are true about
its displacement-time graph?
A. Graph will be a straight line inclined towards the time axis
B. Graph will be a straight line parallel to displacement axis
c. Graph will be a straight line parallel to time axis
D. Graph will be a parabolic curve
Subject: Physics
A metal disc rotates freely, between the
poles of a magnet in the direction
indicated. Brushes \( P \) and \( Q \) make
contact with the edge of the disc and the metal axle. What current, if any,
flows through R?
A. a current from P to Q
B. a current from Q to P
c. no current, because the emf in the disc is opposed by the back emf
D. no current, because the emf induced in one side of the disc is opposed by the emf induced in the other side
E. no current, because no radial emf is induced in the
disc
Subject: Chemistry
The linear structure is assumed by:
This question has multiple correct options
\( \mathbf{A} \cdot \operatorname{Sn} C l_{2} \)
в. \( N C O^{-} \)
\( \mathrm{c} \cdot \mathrm{NO}_{2}^{+} \)
D. \( C S_{2} \)
Subject: Chemistry
The temperature of oxy-acetylene flame
is
\( \mathbf{A} \cdot 200^{\circ} \mathrm{C} \)
в. \( 1600^{\circ} \mathrm{C} \)
\( c \cdot 2000^{\circ} C \)
\( \mathbf{D} \cdot>2500^{\circ} \mathrm{C} \)
Subject: Physics
A capacitor of capacitance \( C \) has initial
charge \( Q_{0} \) is connected to a inductor of
inductance L as shown. Att = 0 switch S
is closed. Then the current though the
inductor when energy in the capacitor is
three times energy of inductor is
A \( \cdot \frac{Q_{0}}{2 \sqrt{L C}} \)
B. \( \frac{Q_{0}}{\sqrt{L C}} \)
c. \( \frac{2 Q_{0}}{\sqrt{L C}} \)
D. \( \frac{Q_{0}}{4 \sqrt{L C}} \)
Subject: Chemistry
The percentage of s-character of the hybrid orbital of \( C \) involved in the bond
formation of \( >\boldsymbol{C}=\boldsymbol{C}< \) is?
A . \( 25 \% \)
B. \( 50 \% \)
\( c .33 .33 \% \)
D. \( 100 \% \)
Subject: Physics
The figure shows a square loop \( L \) of side
\( 5 c m \) which is connected to a network of
resistances. The whole setup is moving
towards right with a constant speed of
\( 1 \mathrm{cm} s^{-1} . \) At some instant, a part of Lis
in a uniform magnetic field of \( 1 T \)
perpendicular to the plane of the loop. If
the resistance of \( L \) is \( 1.7 \Omega \), the current
in the loop at that instant will be close
to
A . \( 115 \mu A \)
в. 170 иА
\( c \cdot 60 \mu A \)
D. \( 150 \mu A \)
Subject: Physics
A fish looking up through the water sees the outside world in a circular horizon. If
the refractive index of water is \( 4 / 3 \) and
the fish is \( 12 m \) below the surface, the
radius of the circle in \( \mathrm{cm} \) is
A. \( 36 \sqrt{7} \)
в. \( \frac{36}{\sqrt{7}} \)
c. \( 36 \sqrt{5} \)
D. \( 4 \sqrt{5} \)
Subject: Biology
Match the names with the tissues
shown. Choose the answer, which gives
the correct combination of the
alphabets.
\( \begin{array}{ll}\text { Cells } & \text { Tissues } \\ \text { A. Erythocytes } & \text { p. Bone } \\ \text { B. Chondrocytes } & \text { q. Neuron } \\ \text { c. osteocytes } & \text { r. Cartilage } \\ \text { D. Schwann cells } & \text { s. Blood } \\ & \text { t. Adipose tissue }\end{array} \)
A. \( A-s, B-r, C-t, D-p \)
B. A-s, B-r, C- p, D- q
\( c \cdot A-s, B-q, C-p, D-t \)
D. \( A-s, B-p, C-r, D-q \)
Subject: Maths
The foci of the conic section
\( 25 x^{2}+16 y^{2}-150 x=175 \) are
\( A \cdot(0,\pm 3) \)
B \( \cdot(0,\pm 2) \)
c. (3,±3)
D \( \cdot(0,\pm 1) \)
Subject: Maths
The sum of 10 terms of the series \( 0.7+ \)
\( .77+.777+\ldots \ldots \ldots \) is
A \( \cdot \frac{7}{9}\left(89+\frac{1}{10^{10}}\right) \)
в. \( \frac{7}{81}\left(89+\frac{1}{10^{10}}\right) \)
c. \( \frac{7}{81}\left(89+\frac{1}{10^{9}}\right) \)
D. \( \frac{7}{9}\left(89+\frac{1}{10^{9}}\right) \)
Subject: Physics
A semiconductor having electron and
hole mobilities \( \mu_{n} \) and \( \mu_{p} \) respectively.
if its intrinsic carrier density is \( n_{i}, \) then
what will be the value of hole
concentration \( P \) for which the
conductivity will be minimum at a
given temperature?
A \( \cdot n_{i} \sqrt{\frac{\mu_{n}}{\mu_{p}}} \)
В \( \cdot n_{h} \sqrt{\frac{\mu_{n}}{\mu_{p}}} \)
\( \mathbf{c} \cdot n_{i} \sqrt{\frac{\mu_{p}}{\mu_{n}}} \)
D. \( n_{h} \sqrt{\frac{\mu_{p}}{\mu_{n}}} \)
Subject: Maths
A mapping function \( \boldsymbol{f}: \boldsymbol{X} \rightarrow \boldsymbol{Y} \) is one-
one, if
A. \( f\left(x_{1}\right) \neq f\left(x_{2}\right) \) for all \( x_{1}, x_{2} \in X \)
B. \( f\left(x_{1}\right)=f\left(x_{2}\right) \Rightarrow x_{1}=x_{2} \) for all \( x_{1}, x_{2} \in X \)
C. \( x_{1}=x_{2} \Rightarrow f\left(x_{1}\right)=f\left(x_{2}\right) \) for all \( x_{1}, x_{2} \in X \)
D. none of these
Subject: Physics
toppr
Q Type your question
and \( B_{2} \) (dashed line). If \( B_{2} \) is larger than
\( B_{1} \) which of the following graphs shows
the correct variation of \( \boldsymbol{R} \) with \( \boldsymbol{T} \) in
these fields?
\( A \)
B.
\( c \)
D.
Subject: Maths
Solve the following pair of simultaneous equations:
\( \frac{\boldsymbol{x}}{\mathbf{3}}+\boldsymbol{y}=\mathbf{1 . 7} \) and \( \frac{\mathbf{1 1}}{\boldsymbol{x}+\underline{\boldsymbol{y}}}=\mathbf{1 0} \) for all
\( \left[\boldsymbol{x}+\frac{\boldsymbol{y}}{\mathbf{3}} \neq \mathbf{0}\right] \)
A \( . x=2 \) and \( y=7 \)
В. \( x=0.9 \) and \( y=-2.5 \)
c. \( x=0 \) and \( y=-4 \)
D. \( x=0.6 \) and \( y=1.5 \)
Subject: Maths
The value(s) of \( \lambda \), for which the triangle with vertices \( (\mathbf{6}, \mathbf{1 0}, \mathbf{1 0}),(\mathbf{1}, \mathbf{0},-\mathbf{5}) \) and
\( (6,-10, \lambda) \) will be a right angled
triangle is/ are
A . 1
в. \( \frac{70}{3}, 0 \)
c. 35
D. \( 0,-\frac{70}{3} \)
Subject: Physics
The binding energy per nucleon of \( _{8} O^{16} \)
is \( 7.97 M e V \) and that of \( _{8} O^{17} \) is
\( 7.75 M e V . \) The energy required to
remove one neutron from \( _{8} O^{17} \) is
\( M e V \)
A . 3.62
в. 3.52
c. 4.23
D. 7.86
Subject: Chemistry
The equilibrium constant for the reaction is:
\( \boldsymbol{P}_{4}(\boldsymbol{s})+\mathbf{5} \boldsymbol{O}_{2}(\boldsymbol{g}) \rightleftharpoons \boldsymbol{P}_{4} \boldsymbol{O}_{10}(\boldsymbol{s}) \)
\( ^{\mathbf{A}} \cdot_{K_{c}}=\frac{1}{\left[O_{2}\right]^{5}} \)
В \( \cdot K_{c}=\left[O_{2}\right]^{5} \)
\( \mathbf{c} \cdot_{K_{c}}=\frac{\left[P_{4} O_{10}\right]}{5\left[P_{4}\right]\left[O_{2}\right]} \)
D. \( _{K_{c}=\frac{\left[P_{4} O_{10}\right]}{\left[P_{4}\right]\left[O_{2}\right]^{5}}} \)
Subject: Maths
A problem in mathematics is given to 4 students whose chances of solving individually are \( \frac{1}{2}, \frac{1}{3}, \frac{1}{4} \) and \( \frac{1}{5} . \) The probability that the problem will be solved at least by one student is?
A \( \cdot \frac{2}{3} \)
в. \( \frac{3}{5} \)
\( c \cdot \frac{4}{5} \)
D. \( \frac{3}{4} \)
Subject: Chemistry
Consider the following experiment and answer the question:
(A) When \( F e(C N)_{2} \) solution is treated with KCN solution, species formed does
not give tests of \( F e^{2+} \) and \( C N^{-} \)
(B) When \( K_{2} S O_{4} \) solution is treated
with \( A l_{2}\left(S O_{4}\right)_{3} \) solution, species formed gives tests of \( \boldsymbol{K}^{+}, \boldsymbol{A l}^{3+} \) and \( \boldsymbol{S} \boldsymbol{O}_{4}^{2-} \)
Species formed in experiment (B) is
A. complex
B. Double salt
c. Liquid crystal
D. None of these
Subject: Maths
State whether the given statement is true or false:

A pair of linear equations is given by \( \boldsymbol{a}_{1} \boldsymbol{x}+\boldsymbol{b}_{1} \boldsymbol{y}+\boldsymbol{c}_{1}=\boldsymbol{0} \) and \( \boldsymbol{a}_{2} \boldsymbol{x}+\boldsymbol{b}_{2} \boldsymbol{y}+ \)
\( c_{2}=0 \) and \( \frac{a_{1}}{a_{2}}=\frac{b_{1}}{b_{2}}=\frac{c_{1}}{c_{2}} \)
In this case, the pair of linear equations is consistent.
A. True
B. False
Subject: Chemistry
The hydrogen-like species \( L i^{2+} \) is in a
spherically symmetric state \( S_{1} \) with one
radial node and its energy is equal to the ground state energy of the hydrogen atom.

The energy of the state \( S_{2}( \) next state ) in units of the hydrogen atom ground state energy is:
A . 7.5
в. 1.50
c. 2.25
D. 4.50
Subject: Physics
In Young's double slit experiment, the two equally bright slits are coherent, but of phase difference \( \frac{\pi}{3} . \) If maximum
intensity on the screen is \( I_{0} \), the intensity
at the point on the screen equidistant from the slits is_-
A . \( I_{0} \)
в. \( \frac{I_{0}}{2} \)
c. \( \frac{I_{0}}{4} \)
D. \( \frac{3 I_{0}}{4} \)