AkshitPareek2004/jee-question-analyzer-data huggingface dataset:
Subject: Physics
Select the renewable and non-renewable
sources of energy from the following:
(a) Coal
(b) Wood
(c) Water
(d) Diesel
(e) Wind
(f) Oil
A. Renewable-(a), (d) and (f) and Non-renewable-(b), (c) and (e)
B. Renewable-(b),(c) and
(e) and Non-renewable-(a), (d) and (f)
c. Renewable-(a),
(c) and (e) and Non-renewable-(b), (d) and (f)
D. Renewable-(b),(d) and (e) and Non-renewable-(a), (c) and (f)
Subject: Maths
The slope of the tangent at \( (x, y) \) of \( a \) curve passing through the point (2,2) is \( \frac{x}{y}, \) then the equation of the curve is
A \( \cdot x^{2}+y^{2}=4 \)
B . \( x^{2}-y^{2}=4 \)
c. \( x^{2}=y^{2} \)
D. \( x^{2}=y^{2}-4 \)
Subject: Physics
In the arrangement shown in the figure,
the ends \( P \) and \( Q \) of an un-stretchable
string move downwards with uniform
speed \( U \). Pulleys \( A \) and \( B \) are fixed. The
mass \( M \) moves upwards with a speed:
\( \mathbf{A} \cdot 2 U \cos \theta \)
B. \( \frac{U}{\cos \theta} \)
c. \( \frac{2 U}{\cos \theta} \)
\( D . U \cos \theta \)
Subject: Maths
If \( \mathbf{A} \) and \( \mathbf{B} \) are two events such that
\( \mathbf{P}(\mathbf{A})=\frac{\mathbf{3}}{\mathbf{4}} \) and \( \mathbf{P}(\mathbf{B})=\frac{\mathbf{5}}{8}, \) then
This question has multiple correct options
A \( \cdot 1 \geq P(A \cup B) \geq \frac{3}{4} \)
в. \( P\left(A^{\prime} \cup B\right) \leq \frac{1}{4} \)
c. \( \frac{3}{8} \leq P(\mathrm{A} \cap B) \leq \frac{5}{8} \)
D. \( \frac{1}{8} \leq P\left(A \cap B^{\prime}\right) \leq \frac{3}{8} \)
Subject: Chemistry
Assign oxidation numbers to each atom
in \( \boldsymbol{N} \boldsymbol{H}_{\mathbf{4}} \boldsymbol{N} \boldsymbol{O}_{2} \)
A. \( N=4,-4 ; H=1 ; O=-2 \)
B. \( N=-3 ; H=1 ; O=3 \)
c. \( N=-1 ; H=1 ; O=-2 \)
Subject: Chemistry
Statement 1: A supersaturated solution of glucose in boiling water crystallizes as it cools.

Statement 2 : The solubility increases as the temperature increases.
A. Both Statement 1 and Statement 2 are correct and Statement 2 is the correct explanation of Statement 1
B. Both Statement 1 and Statement 2 are correct and Statement 2 is not the correct explanation of Statement 1
c. statement 1 is correct but statement 2 is not correct
D. Statement 1 is not correct but Statement 2 is correct
E. Both the Statement 1 and Statement 2 are not correct
Subject: Maths
If matrix \( A \) is an circulant matrix whose
elements of first row are \( \mathbf{a}, \mathbf{b}, \mathbf{c} \) all \( >\mathbf{0} \)
such that abc \( =\mathbf{1} \)
and \( A^{T} A=I \) then \( a^{3}+b^{3}+c^{3} \) equals
\( A \cdot 0 \)
B. 3
\( c .1 \)
D. 4
Subject: Chemistry
Assertion
White phosphorus exhibits phenomenon of phosphorescence.
Reason

Phosphorescence means glow after illumination and this glow itself originates from oxidation of white
phosphorous and shows a faint flow on
exposure to oxygen.
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
The van't Hoff reaction isotherm is:
\( \mathbf{A} \cdot \Delta G=R T \log _{e} K_{p} \)
в. \( -\Delta G= \) RТlog\( _{e} K_{p} \)
\( \mathbf{c} \cdot \Delta G=R T^{2} I n K_{p} \)
D. none of these
Subject: Physics
Coefficients of friction between the flat
bed of the truck and crate are \( \mu_{s}=0.8 \)
and \( \mu_{k}=0.7 . \) The coefficient of kinetic
friction between the truck tires and the
road surface is \( 0.9 . \) If the truck stop
from an initial speed \( 15 m / s \) with maximum braking (wheels skidding).
Determine where on the bed the crate
finally comes to rest. (Take \( g=10 m / s^{2} \)
\( \mathbf{A} \cdot 2.77 m \)
B. 2.37 т
\( c .3 m \)
D. \( 1.77 m \)
Subject: Physics
When the current changes from \( +2 A \) to
\( -2 A \) in 0.05 second, an e.m.f. of \( 8 V \) is
induced in a coil. The coefficient of self-
induction of the coil is :
A. \( 0.2 H \)
в. \( 0.4 H \)
\( c .0 .8 H \)
D. \( 0.1 H \)
Subject: Physics
Portion AB of the wedge shown in figure is rough and BC is smooth, A solid cylinder rolls without slipping from \( A \) to
B. The ratio of transnational kinetic
energy to rotational kinetic energy. when the cylinder reaches point \( C \) is
\( A \cdot 3 / 4 \)
B.
\( c \cdot 7 / 5 \)
\( 0.8 / 3 \)
Subject: Chemistry
Which one of the following statements
is not true regarding \( (+) \) lactose?
A. On hydrolysis, (+) lactose give equal amount of \( D(+) \) glucose and \( D(+) \) galactose
B. \( (+) \) Lactose is a \( \beta- \) glucoside formed by union of a molecule of \( D(+) \) glucose and a molecule of \( D(+) \) galactose
\( \mathrm{C} \cdot(+) \) Lactose is a reducing sugar and does not exhibit mutarotation
D. (+) Lactose, \( C_{12} H_{22} O_{11} \) contains 8-OH goups
Subject: Maths
Classify the following polynomials as monomials, binomials and trinomials:
\( 3 x^{2}, 3 x+2, x^{2}-4 x+2, x^{5}-7, x^{2}+ \)
\( \mathbf{3} \boldsymbol{x} \boldsymbol{y}+\boldsymbol{y}^{2}, \boldsymbol{s}^{2}+\boldsymbol{3} \boldsymbol{s} \boldsymbol{t}-\boldsymbol{2} \boldsymbol{t}^{2}, \boldsymbol{x} \boldsymbol{y}+\boldsymbol{y} \boldsymbol{z}+ \)
\( z x, a^{2} b+b^{2} c, 2 l+2 m \)
Subject: Physics
A ball of mass \( \mathrm{m} \) is dropped on to a floor from certain height, collision is perfectly elastic and the ball rebounds
to the same height and again falls. Find the average force exerted by the ball on the floor during a long time interval.
A. mg
B. > mg
\( \mathrm{c} \cdot<\mathrm{mg} \)
D. none of these
Subject: Chemistry
Compound \( [A] \) is an aromatic amine
which react with \( N a N O_{2}+H C l \) at
\( 273-278 K \) and form compound \( [B] \)
Compound \( [\boldsymbol{B}] \) react with \( \boldsymbol{H} \boldsymbol{B} \boldsymbol{F}_{4} \) and
the obtain product on further heating, in
the presence of \( N a N O_{2} \) and confirm
compound \( [C] . \) Compound \( [C] \) reduced
in the presence of \( \boldsymbol{S n} / \boldsymbol{H} \boldsymbol{C l} \) to reformed compound \( [\boldsymbol{A}] . \) Write general
name of \( ^{\prime} A^{\prime},^{\prime} B^{\prime} \) and \( ^{\prime} C^{\prime} \) and write
equation of all reaction involved?
Subject: Physics
\( \ln L-C \) oscillations
This question has multiple correct options
A \( \cdot \) time period of oscillations is \( \frac{2 \pi}{\sqrt{L C}} \)
B. maximum current is \( \frac{q_{0}}{\sqrt{L C}} \)
C. maximum rate of change of current in circuit is \( \frac{q_{0}}{L C} \)
D. maximum potential difference across the inductor is
\( \frac{q_{0}}{2 C} . \) Here \( q_{0} \) is maximum charge on capacitor.
Subject: Physics
Two projectiles, one fired from the surface of the earth with speed \( 5 m / s \) and the other fired from the surface of a
planet with initial speed \( 3 m / s, \) trace identical trajectories. Neglecting friction effect the value of acceleration
due to gravity on the planet is:
A. \( 5.9 \mathrm{m} / \mathrm{s}^{2} \)
в. \( 3.5 \mathrm{m} / \mathrm{s}^{2} \)
\( \mathbf{c} \cdot 16.3 \mathrm{m} / \mathrm{s}^{2} \)
D. \( 8.5 \mathrm{m} / \mathrm{s}^{2} \)
Subject: Physics
An aeroplane of mass \( 6000 \mathrm{kg} \) is flying at an altitude of \( 3 k m . \) If the area of the
wings is \( 30 m^{2} \) and the pressure at the lower surface of wings is \( 0.6 \times 10^{5} p a \)
the pressure on the upper surface of wings is : ( in pascal) \( \left(g=10 m s^{-2}\right) \)
A \( \cdot 5.8 \times 10^{4} \)
B. \( 6.8 \times 10^{4} \)
\( \mathbf{c} \cdot 7.8 \times 10^{4} \)
D. \( 8.8 \times 10^{4} \)
Subject: Maths
\( \ln \) a \( \Delta A B C, \angle A>\angle B . \) If \( \sin A \) and
\( \sin B \) satisfy the equation \( 3 \sin x- \)
\( 4 \sin ^{3} x-k=0,0<k<1, \) then \( \angle C \) is
A \( \cdot \frac{\pi}{3} \)
в. \( \frac{\pi}{2} \)
c. \( \frac{2 \pi}{3} \)
D. \( \frac{5 \pi}{6} \)
Subject: Maths
The equation of the circle passing through (2,0) and (0,4) and having the minimum radius is
A \( \cdot x^{2}+y^{2}=20 \)
B . \( x^{2}+y^{2}-2 x-4 y=0 \)
c. \( x^{2}+y^{2}=4 \)
D. \( x^{2}+y^{2}=16 \)
Subject: Maths
If the sides \( A B, B C, C D \) and \( D A \) of a trapezium ABCD measure \( 10 \mathrm{cm}, 20 \mathrm{cm} \)
\( 18 \mathrm{cm} \) and \( 16 \mathrm{cm} \) respectively then find the length of the longer diagonal given
that \( A B \) is parallel to \( C D \)
A \( . \sqrt{760} \mathrm{cm} \)
В. \( \sqrt{231} \mathrm{cm} \)
\( c \cdot \sqrt{54} c m \)
D. \( \sqrt{930} \mathrm{cm} \)
Subject: Chemistry
\( 60 \mathrm{mL} \) of a mixture of equal volume of
\( C l_{2} \) and an oxide of chlorine was heated
and then cooled back to the original temperature. The resulting gas mixture was found to have a volume of \( 75 \mathrm{mL} \). On
treatment with caustic soda solution, the volume contracted to 15 mL. Assume
that all measurements are made at the
same \( \mathrm{T} \) and \( \mathrm{P.} \) Deduce the simplest
formula for oxide of \( C l_{2} \) and calculate
its molar mass. The oxide of \( C l_{2} \) on
heating decomposes quantitatively to
\( O_{2} \) and \( C l_{2} . \) If the molar mass is \( x \)
\( \mathrm{gm} / \mathrm{mol}, \) then find the nearest integral
value of \( \boldsymbol{x} \)
Subject: Chemistry
t-buty \( \mid-C=C H-C_{\|}-O H \) can't
give decarboxylation while normally
\( \alpha-\beta \) unsaturated acid give this
reaction because:
A. t-butyl gp, has large size and does not let the \( C O O H \) group to leave.
B. t-butyl gp. can't extract \( H \) from \( C O O H \)
C. t-butyl gp. destabilise carbanion formed
D. t-buty gp, does not allow this composition to convert to \( \beta-\gamma \) unsaturated acid
Subject: Physics
An infinite number of equal charges \( (q \) each) are placed at distance \( x= \)
\( 1,2,4,8, \dots \dots \). \( 0 . \) Then the electric potential at the origin \( (x=0) \) will be :
A. zero
B. infinite
c. \( \frac{q}{4 \pi \varepsilon_{0}} \)
D. \( \frac{2 q}{4 \pi \varepsilon_{0}} \)
Subject: Chemistry
An excess of \( A g N O_{3} \) is added to
\( 100 m L \) of a \( 0.01 M \) solution of
dichlorotetraaquachromium (III) chloride. The number of moles of \( A g C l \) precipitated would be:
A. 0.001
B. 0.002
c. 0.003
D. 0.01
Subject: Chemistry
2.0 mole of \( P C l_{5} \) were introduced in a
vessel of 5.0 L capacity of a particular
temperature. At equilibrium, \( P C l_{5} \) was
found to be \( 35 \% \) dissociated into \( P C l_{3} \)
and \( C l_{2} . \) The value of \( K_{c} \) for the
reaction:-
\( \boldsymbol{P C l}_{3}(\boldsymbol{g})+\boldsymbol{C l}_{2}(\boldsymbol{g}) \rightleftharpoons \boldsymbol{P} \boldsymbol{C l}_{5}(\boldsymbol{g}) \)
A. 0.075
B. 0.377
\( c \cdot 1.33 \)
D. 13.3
Subject: Physics
Particle A moves along X-axis with a
uniform velocity of magnitude \( 10 \mathrm{m} / \mathrm{s} \) Particle B moves with uniform velocity \( 20 \mathrm{m} / \mathrm{s} \) along a direction making an
angle of \( 60^{\circ} \) with the positive direction of X-axis as shown in the figure. The
relative velocity of B with respect to that
of \( A \) is.
\( A \cdot 10 \mathrm{m} / \mathrm{s} \) along \( \mathrm{x} \) -axis
B. \( 10 \sqrt{3} \mathrm{m} / \mathrm{s} \) along Y-axis (perpendicular to \( \mathrm{X} \) -axis)
long the bisection of the velocities of A and B
D /s along negative X-axi
Subject: Chemistry
Calculate Van't Hoff factor (i) for an
aqueous solution of \( \boldsymbol{K}_{\mathbf{3}}\left[\boldsymbol{F} \boldsymbol{e}(\boldsymbol{C} \boldsymbol{N})_{\boldsymbol{6}}\right] \)
having a degree of dissociation \( (\boldsymbol{\alpha}) \)
equal to 0.778
A .4 .334
B. 3.334
c. 0.222
D. 2.334
Subject: Physics
A conducting circular loop of radius carries a constant current I. It is placed in a uniform magnetic field B such that B is perpendicular to the plane of the loop. The magnetic force acting on the loop is
\( \mathbf{A} \cdot \) Вᅵ
В. 2 \( \pi \) (ВЮА)
c. zero
D. \( \pi \) (ВIR)
Subject: Maths
If \( a, b, c \) are unit vectors, then the
maximum value of \( |\boldsymbol{a}+\mathbf{2 b}|^{2}+\mid \boldsymbol{b}+ \)
\( \left.3 c\right|^{2}+|c+4 a|^{2} \) is
A . 50
B . 21
c. 48
D. 58
Subject: Physics
The displacement \( y \) of a particle in a medium can be expressed asy \( = \) \( \mathbf{1 0}^{-6} \sin \left(\mathbf{1 1 0 t}+\mathbf{2 0 x}+\frac{\boldsymbol{\pi}}{\mathbf{4}}\right) \mathbf{m}, \) where \( \mathbf{t} \) is
in second and \( x \) in metre. The speed of
the wave is
A \( .2000 \mathrm{m} / \mathrm{s} \)
B. \( 5 \mathrm{m} / \mathrm{s} \)
c. \( 20 \mathrm{m} / \mathrm{s} \)
D. \( 5 \pi \mathrm{m} / \mathrm{s} \)
Subject: Physics
The length of side of a square coil is 50 \( \mathrm{cm} \) and number of turns in it is \( 100 . \) If it
is placed at right angles to a magnetic field which is changing at the rate of 4 Tesla/s, then induced emf in the coil will
be:
A . \( 0.1 \mathrm{v} \)
B. 1.0
\( c \cdot 10 v \)
D. 100
Subject: Physics
A circular ring starts rolling down on an inclined plane from its top. Let \( \boldsymbol{V} \) be velocity of its centre of mass on
reaching the bottom of inclined plane. If a block starts sliding down on an identical inclined plane but smooth, from its top, then the velocity of block
on reaching the bottom of
inclined plane is:
\( \mathbf{A} \cdot \frac{V}{2} \)
B. \( 2 V \)
c. \( \frac{V}{\sqrt{2}} \)
D. \( \sqrt{2} V \)
Subject: Physics
Which of the following is not a property of electric lines of force?
A. Lines of force start from positive charge and terminate at negative charge
B. Lines of force always intersect
c. The tangent to a line of force at any point gives the direction of the electric field(E) at that point
D. The number of lines per unit area, through a plane at right angles to the lines, is proportional to the magnitude of elctric field(E)
Subject: Physics
The peak emission from a black body at a certain temperature occurs at a wavelength of 9000 A. On increasing its temperature, the total radiation
emitted is increased 81 times. At the
initial temperature when the peak radiation from the black body is
incident on a metal surface, it does not
cause any photoemission from the surface. After the increase of
temperature, the peak radiation from the black body caused photoemission. To bring these photoelectrons to rest, a potential equivalent to the excitation energy between \( n=2 \) and \( n=3 \) Bohr
levels of hydrogen atoms is required. Find the work function of the metal.
Subject: Physics
Assertion
Specific heat of a body is always greater than its thermal capacity.
Reason
Thermal capacity is the heat required for raising temperature of unit mass of the body through unit degree.
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 among the following is a double displacement?
A. \( A g N O_{3}+K I \rightarrow A g I+K N O_{3} \)
в. \( P b+C u C l_{2} \rightarrow P b C l_{2}+C u \)
c. \( C+O_{2} \rightarrow C O_{2} \)
D. \( S n O_{2}+C \rightarrow S n+C O_{2} \)
Subject: Physics
A point sized sphere of mass \( ^{\prime} \boldsymbol{m}^{\prime} \) is
suspended from a point using a string
of length \( ^{\prime} l^{\prime} . \) It is pulled to a side till the string is horizontal and released. As the mass passes through the portion where the string is vertical, magnitude of its angular momentum is:
\( \mathbf{A} \cdot m l \sqrt{g l} \)
в. \( m l \sqrt{2 g} \)
c. \( m l \sqrt{\frac{g l}{2}} \)
D. \( m l \sqrt{3 g l} \)
Subject: Physics
The magnetic flux density \( B \) is changing in magnitude at a constant
rate \( d B / d t . \) A given mass \( m \) of copper
drawn into a wire of radius \( a \) and
formed into a circular loop of radius \( r \) is
placed perpendicular to the field \( B \). The induced current in the loop is \( i . \) The resistivity of copper is \( \rho \) and density is
d. The value of the induced current \( i \) is
\( ^{\mathbf{A}} \cdot \frac{m}{2 \pi \rho d} \frac{d B}{d t} \)
В. \( \frac{m}{2 \pi a^{2} d} \frac{d B}{d t} \)
c. \( \frac{m}{4 \pi a d} \frac{d B}{d t} \)
D. \( \frac{m}{4 \pi \rho d} \frac{d B}{d t} \)
Subject: Physics
What is the wavelength of light emitted when the electron in a hydrogen atom undergoes a transition from an energy
level with \( n=4 \) to an energy level with
\( \boldsymbol{n}=\mathbf{2} ? \)
A \( .5654 A^{\circ} \)
B. \( 3852 A^{\circ} \)
\( \mathbf{c} \cdot 4920 A^{\circ} \)
D. \( 4852 A^{\circ} \)
Subject: Maths
If \( \frac{(p+i)^{2}}{2 p-i}=\mu+i \lambda, \) then \( \mu^{2}+\lambda^{2} \) is
equal to
\( ^{A \cdot} \cdot \frac{\left(p^{2}+1\right)^{2}}{4 p^{2}-1} \)
B. \( \frac{\left(p^{2}-1\right)^{2}}{4 p^{2}-1} \)
c. \( \frac{\left(p^{2}-1\right)^{2}}{4 p^{2}+1} \)
D. \( \frac{\left(p^{2}+1\right)^{2}}{4 p^{2}+1} \)
Subject: Physics
A charge 'Q' is placed at the centre of a hemispherical surface of radius ' \( \boldsymbol{R} \). The
flux of electric field due to charge ' \( Q^{\prime} \) through the surface of hemisphere is
\( \mathbf{A} \cdot Q / 4 \varepsilon_{0} \)
в. \( Q / 4 \pi \varepsilon_{0} \)
c. \( Q / 2 \varepsilon_{0} \)
D. \( Q / 2 \pi \varepsilon_{0} \)
Subject: Chemistry
Equal masses of \( \boldsymbol{H}_{2}, \boldsymbol{O}_{2} \) and methane have been taken in a container of
volume \( \boldsymbol{V} \) at temperature \( \mathbf{2 7}^{\circ} \boldsymbol{C} \) in identical conditions. The ratio of the
volumes of gases \( H_{2}: O_{2}: \) methane
would be:
A. 8: 16: 1
B . 16: 8: 1
c. 16: 1: 2
D. 8: 1: 2
Subject: Chemistry
Sodium chloride and sodium iodide
react with concentrated sulfuric acid
Which statements are correct?
1. Sodium chloride is not oxidised by concentrated sulfuric acid.
2. No colour change is seen when concentrated sulfuric acid is added to
sodium chloride
3. Sodium iodide is oxidised by concentrated sulfuric acid.
A. 1,2 and 3 are correct
B. 1 and 2 only are correct
c. 2 and 3 only are correct
D. 1 only is correct
Subject: Physics
The binding energies per nucleon for a
deuteron and an \( \alpha \) -particle are \( x_{1} \) and
\( x_{2} \) respectively.What will be the energy Q released in the reaction \( _{1} \boldsymbol{H}^{2}+_{1} \)
\( \boldsymbol{H}^{2}+\rightarrow_{2} \boldsymbol{H} \boldsymbol{e}^{4}+\boldsymbol{Q} \)
\( \mathbf{A} \cdot 4\left(x_{1}+x_{2}\right) \)
B . \( 4\left(x_{2}-x_{1}\right) \)
c. \( 2\left(x_{1}+x_{2}\right) \)
D \( \cdot 2\left(x_{2}-x_{1}\right) \)
Subject: Chemistry
Which is the following are true about
the chemical equilibrium?
A. The chemical equilibrium is a state in which the rate of the forward reaction is equal to the rate of the reverse reaction.
B. The chemical equilibrium takes at least 10 hours to be established.
C. The chemical equilibrium is a state in which the rate of the forward reaction is not equal to the rate of the reverse reaction.
D. The chemical equilibrium can only occur at temperatures above room temperature.
E. None of these answers are correct
Subject: Chemistry
Number of primary carbon atoms in the given compound is:
\( \boldsymbol{C}-\underbrace{\boldsymbol{C}}_{\boldsymbol{C}}-\boldsymbol{C}-\dot{\boldsymbol{C}}-\boldsymbol{C} \)
\( A \cdot 2 \)
B. 5
\( c \cdot 4 \)
\( D \)
Subject: Chemistry
Which of the following conditions
guarantee a spontaneous reaction?
A. Positive \( \triangle H, \) positive \( \triangle S \)
B. Positive \( \triangle H, \) negative \( \triangle S \)
C. Negative \( \triangle H, \) negative \( \triangle S \)
D. Negative \( \triangle H, \) positive \( \triangle S \)
E. None of the above
Subject: Maths
In a class \( 5 \% \) of boys and \( 10 \% \) of girls have an I.Q of more than \( 150 . \) In this class
\( 60 \% \) of students are boys. If a student is
selected at random and found to have
an I.Q. of more than \( 150 . \) Find the probability that the student is a boy.
A \( \cdot \frac{3}{7} \)
B. \( \frac{23}{7} \)
\( c \cdot \frac{3}{5} \)
D. None of these
Subject: Chemistry
In the following reaction, we are likely to
get:
\( \boldsymbol{C H}_{3} \boldsymbol{O} \boldsymbol{N} \boldsymbol{a}+\boldsymbol{B r}-\boldsymbol{t}-\boldsymbol{B u} \rightarrow \)
A. ether
B. alkene
c. alcohol
D. none of the above
Subject: Physics
A wheel completes 2000 revolutions to cover the \( 9.5 \mathrm{km} \) distance, then the diameter of the wheel is
A . \( 1.5 \mathrm{m} \)
B. \( 1.5 \mathrm{cm} \)
c. \( 7.5 \mathrm{cm} \)
D. 7.5 \( m \)
Subject: Maths
The area bounded by the two curves \( \boldsymbol{y}=\sin \boldsymbol{x}, \boldsymbol{y}=\cos \boldsymbol{x} \) and the X-axis in
the first quadrant \( \left[0, \frac{\pi}{2}\right] \) is
A \( .2-\sqrt{2} \) sq. units
B . \( 2+\sqrt{2} \) sq. units
c. \( 2(\sqrt{2}-1) \) sq. units
D. 4 sq. units
Subject: Maths
If \( \boldsymbol{y}=e^{m x}+e^{-m x}, \) then prove that
\( \frac{\boldsymbol{d}^{2} \boldsymbol{y}}{\boldsymbol{d} \boldsymbol{x}^{2}}=\boldsymbol{m}^{2} \boldsymbol{y} \)
Subject: Chemistry
Which of the following species have undistorted octahedral structures?
1. \( \boldsymbol{S F}_{\mathbf{6}} \)
2. \( \boldsymbol{P F}_{\mathbf{6}}^{-} \)
3. \( \boldsymbol{S} \boldsymbol{i} \boldsymbol{F}_{\boldsymbol{6}}^{2-} \)
4. \( \boldsymbol{X} \boldsymbol{e} \boldsymbol{F}_{\boldsymbol{6}} \)
Select the correct answer using the codes given below.
\( \mathbf{A} \cdot 1,3 \) and 4
B. 1,2 and 3
C. 1,2 and 4
D. 2,3 and 4
Subject: Chemistry
When 9.65 coulomb of electricity is passed through a solution of silver nitrate, the amount of silver deposited is:
A. \( 16.2 \mathrm{mg} \)
B. \( 21.2 \mathrm{mg} \)
c. \( 10.8 \mathrm{mg} \)
D. \( 6.4 \mathrm{mg} \)
Subject: Chemistry
Select the incorrect order(s) among
the following:
This question has multiple correct options
\( \mathbf{A} \cdot C l O^{-}<B r O^{-}<I O^{-} \) - disproportionation
B \( \cdot C l O_{4}^{-}<B r O_{4}^{-}<l O_{4}^{-} \) - oxidising power
c. \( H C l O<H C l O_{2}<H C l O_{3}<H C l O_{4} \) - acid strength
D. \( H O C l>H O I>H O B r \) -acid strength
Subject: Maths
\( \int \frac{3 x^{2}}{x^{6}+1} d x \)
A \( \cdot \frac{1}{2} \tan ^{-1} x^{3} \)
B. \( \tan ^{-1} x^{3} \)
\( \mathbf{c} \cdot \tan ^{-1} x^{6} \)
D. \( \sec ^{-1} x^{3} \)
Subject: Physics
A spectrometer gives the following reading when used to measure the angle of a prism. Main scale reading:
58.5 degree, Vernier scale reading : 9 divisions. Given that 1 division on main
scale corresponds to 0.5 degree. Total divisions on the vernier scale is 30 and
match with 29 divisions of the main
scale. The angle of the prism from the above data:
A . 58.59 degree
B. 58.77 degree
c. 58.65 degree
D. 59 degree
Subject: Chemistry
Of the following complex ions, one is a Bronsted-lowry acid. That one is:
\( \mathbf{A} \cdot\left[C u\left(N H_{3}\right)_{4}\right]^{2+} \)
B. \( \left[F e C l_{4}\right]^{-} \)
c. \( \left[\mathrm{Fe}\left(\mathrm{H}_{2} \mathrm{O}\right)_{6}\right]^{3+} \)
D. \( _{\left[Z n(O H)_{4}\right]^{2-}} \)
Subject: Maths
If \( g(x)=1+\sqrt{x} \) and \( f(g(x))=3+ \)
\( 2 \sqrt{x}+x, \) then \( f(x)= \)
A \( \cdot 1+2 x^{2} \)
B \( \cdot 2+x^{2} \)
c. \( 1+x \)
D. \( 2+x \)