AkshitPareek2004/jee-question-analyzer-data huggingface dataset:
Subject: Maths
Q Type your question
LISC - 1
A: The coordinates of the
mid point of the line joining
1) (-2,1,1)
\[
(-1,-1,1) \text { and }(-1,1,-1)
\]
B: The coordinates of the
point which divides the line segment joining
2) (-1,0,0)
(2,3,1) and (5,0,4) in the ratio1:2
C: The points and \( P(2,1,-3) \) are three vertices of a
3) \( \left(\frac{13}{3}, \frac{-11}{3}, 6\right) \)
parallelogram PQRS, the fourth vertex
D: The vertices of a triangle \( \operatorname{are}(7,-4,7),(1,-6,10) \)
4) (3,2,2) and (5,-1,1) . centroid of the triangle
\( \mathbf{A} \cdot A-2, B-4, C-1, D-3 \)
B. \( A-1, B-2, C-3, D-4 \)
\( \mathbf{c} \cdot A-2, B-3, C-1, D-4 \)
D. \( A-1, B-4, C-3, D-2 \)
Subject: Physics
Four charges, all of same magnitude are placed at the four corners of a
square. At the centre of the square, the
potential is \( V \) and the field is \( E . B y \) suitable choices of the signs of the four charges, which of the following can be obtained?
This question has multiple correct options
A. \( V=0, E=0 \)
B. \( V=0, E \neq 0 \)
c. \( V \neq 0, E=0 \)
D. \( V \neq 0, E \neq 0 \)
Subject: Physics
A bullet passes past a person at a speed \( 220 \mathrm{m} / \mathrm{s} \). The fractional change in the frequency of the whistling sound
heard by the person as the bullet crosses the person is (Speed of sound = \( 330 \mathrm{m} / \mathrm{s}) \)
A. 0.67
B. 0.8
\( c \cdot 1.2 \)
D. 3.0
Subject: Physics
If the velocity of a particle is given by \( \boldsymbol{v}=(\mathbf{1 8 0 1 6 x})^{\frac{1}{2}} \boldsymbol{m} / \boldsymbol{s}, \) then the
acceleration is
A. \( -4 m / s^{2} \)
B. \( 8 m / s^{2} \)
\( \mathbf{c} \cdot-8 m / s^{2} \)
D. \( 4 m / s^{2} \)
Subject: Chemistry
\( Y \) in the given reaction is:
\( -\mathrm{Br} \frac{\text { ether }}{\mathrm{Mg}}>\mathrm{X} \frac{(\mathrm{i}) \mathrm{H}_{2} \mathrm{O}}{(\mathrm{ii}) \mathrm{HCl}}>\mathrm{Y}(\text { main product }) \)
A. hexane
B. cyclohexane
c. cyclohexylcyclohexane
D. cyclohexylether
Subject: Chemistry
\( \boldsymbol{H}_{2} \boldsymbol{O}_{2}+\boldsymbol{O}_{3} \rightarrow \boldsymbol{H}_{2} \boldsymbol{O}+\mathbf{2} \boldsymbol{O}_{2}, \) in this
reaction
A. \( H_{2} O_{2} \) is bleached
B. \( H_{2} O_{2} \) is oxidised
C. \( H_{2} O_{2} \) is dehydrated
D. \( H_{2} O_{2} \) is neither oxidised nor reduced
Subject: Chemistry
The vapour pressure of a pure liquid \( \mathbf{A} \) is \( 80 \mathrm{mmHg} \) at \( 300 K . \) It forms an ideal solution with liquid B. When the mole fraction of \( \mathrm{B} \) is \( 0.4, \) the total pressure
was to be \( 88 \mathrm{mmHg} \). The vapour pressure of liquid B would be?
Subject: Chemistry
In the Arrhenius equation for a certain reaction, the value of \( A \) and \( E \) (energy of
activation) are \( 4 \times 10^{-13} \mathrm{sec}^{-1} \) and
\( 98.6 k J \) mol\( ^{-1} \) respectively. If the
reaction is of the first order,
the temperature at which its half-life period will be 10 minutes in \( K \) will be \( x \)
then find the value of \( x / 6 \) to the nearest
integer.
Subject: Chemistry
When ammonia is added to the
solution, \( p H \) is raised to \( 11 . \) Which half-
cell reaction is affected by \( p H \) and by
how much?
\( \mathbf{A} \cdot \mathrm{E}_{\mathrm{oxd}} \) will increase by a factor of 0.65 from \( \mathrm{E}_{\text {oxd }}^{\circ} \) are
B. \( \mathrm{E}_{\text {oxd }} \) will decrease by a factor of 0.65 from \( \mathrm{E}_{\text {oxd }}^{\circ} \)
C \( \cdot \mathrm{E}_{\text {red }} \) will increase by a factor of 0.65 from \( \mathrm{E}_{\text {red }}^{\circ} \)
D. \( \mathrm{E}_{\text {red }} \) will decrease by a factor of 0.65 from \( \mathrm{E}^{\circ} \) red
Subject: Physics
As shown in the figure, charges \( +q \) and \( q \) are placed at the vertices \( B \) and \( C \) of
an isosceles triangle. The potential at
the vertex \( A \) is
\( A \)
в. \( \frac{1}{4 \pi \varepsilon_{0}} \cdot \frac{q}{\sqrt{a^{2}+b^{2}}} \)
\( c \)
D. zero
Subject: Physics
A spherical half of volume \( 1000 \mathrm{cm}^{3} \) is
subjected to a pressure of 10 atmosphere. The change in volume is \( 10^{-3} \mathrm{cm}^{-3} . \) If the ball is made of iron
find its bulk modulus.(Atmospheric
pressure \( \left.=1 \times 10^{3} N m^{-2}\right) \)
\( \mathbf{A} \cdot 3 \times 10^{11} N / m^{2} \)
B . \( 2 \times 10^{11} N / m^{2} \)
c. \( 1 \times 10^{11} \mathrm{N} / \mathrm{m}^{2} \)
D. \( 4 \times 10^{11} \mathrm{N} / \mathrm{m}^{2} \)
Subject: Maths
The sum of the first \( n \) terms of an A.P. is
half of the sum of the next \( n \) terms. In
the usual notation, the value \( \frac{\boldsymbol{S}_{3 n}}{\boldsymbol{S}_{n}} \) is
A . 10
B. 8
\( c \cdot 6 \)
D.
Subject: Physics
yo
represents the motion of 5 different
colored objects of the identical mass,
with the color of the graph
corresponding to the color of the object.
What is the order of the objects,
according to the magnitude of the net
forces they are experiencing during the
time represented by their graph,
greatest first?
A. blue, purple, red, yellow, green
B. purple, red, yellow, blue and green
c. blue and green tie, yellow, purple, redd
D. purple, red, blue, yellow, green
E. yellow, red, purple, blue and green
Subject: Maths
Find the product of \( \frac{k^{2}+13 k+42}{k^{2}+15 k+56} \) and \( \frac{\boldsymbol{k}^{2}+\mathbf{8} \boldsymbol{k}}{\boldsymbol{k}^{2}+\mathbf{1 1} \boldsymbol{k}+\mathbf{3 0}} \)
A \( \cdot \frac{k^{2}+8 k}{k+5} \)
в. \( \frac{k}{k+5} \)
c. \( \frac{k}{k^{2}+15 k+56} \)
D. \( \frac{1}{k+5} \)
Subject: Maths
Find the derivative of \( e^{x}+e^{y}=e^{x+y} \)
\( \mathbf{A} \cdot-e^{x-y} y^{y} \)
B . \( e^{x-y} \)
\( \mathbf{c} \cdot-e^{y-x} \)
D. \( e^{y-x} \)
Subject: Physics
A closed curve encircles several conductors.The line integral \( \int \overrightarrow{\boldsymbol{B}} \cdot \boldsymbol{d} \overrightarrow{\boldsymbol{l}} \)
around this curve is \( 3.83 \times 10^{-7} T-m \)
If you were to integrate around the curve in the opposite direction, what
could be the value of the line integral?
Subject: Maths
In figure \( \angle \mathbf{1}=\angle \mathbf{2} \) and \( \triangle \boldsymbol{N} \boldsymbol{S} \boldsymbol{Q} \cong \)
\( \triangle M T R, \) then prove that \( \triangle P T S \sim \)
\( \triangle \boldsymbol{P R Q} \)
Subject: Physics
If the strain in wire is not more than
\( 10^{-3} \) and \( Y=4 \times 10^{11} N / m^{2}, \) diameter of
wire is \( 1 \mathrm{mm} \), then the maximum weight that can be hanged from wire is then:-
\( \mathbf{A} \cdot 157 N \)
в. \( 314 N \)
c. \( 120 N \)
D. \( 160 N \)
Subject: Physics
The neutral temperature of a
thermocouple is \( 275^{\circ} \mathrm{C} \) and the
temperature of inversion is \( 600^{\circ} \mathrm{C} \). The
temperature of the cold junction is
\( A \cdot 50^{\circ} C \)
B . \( 25^{\circ} \mathrm{C} \)
\( c \cdot-25^{\circ} C \)
D. \( -50^{\circ} \mathrm{C} \)
Subject: Maths
If \( \boldsymbol{x}, \boldsymbol{y}, \boldsymbol{z} \) are in A.P., then \( \boldsymbol{2} \boldsymbol{y}= \)
\( \mathbf{A} \cdot x+z \)
B. \( x-z \)
c. \( \sqrt{x y} \)
D. \( x z \)
Subject: Chemistry
In the reaction \( S n C l_{2}+C l_{2} \rightarrow \)
\( \boldsymbol{S} \boldsymbol{n} \boldsymbol{C l}_{4}+\boldsymbol{2} e^{-}, \) the lewis acid is:
A. \( S n C l_{4} \)
в. \( \operatorname{SnCl}_{3} \)
\( \mathrm{c} \cdot \operatorname{Sn} C l_{2} \)
D. \( S n C l \)
Subject: Maths
Let \( A B C \) be an equilateral triangle and
suppose KLMN be a rectangle with \( \boldsymbol{K}, \boldsymbol{L} \) on \( \mathrm{BC}, \mathrm{M} \) on \( \mathrm{AC} \) and \( \mathrm{N} \) on AB. If \( \frac{A N}{N B}=2 \) and area of triangle BKN is \( 6, \) then area of triangle \( A B C \) is equal to
A . 48
B. 54
c. 96
D. 108
Subject: Maths
Check if the series is an A.P. Find the
common difference \( d \) and write three
more terms of the the following series. \( 2, \frac{5}{2}, 3, \frac{7}{2}, \dots \)
A \( \cdot a=2 ; d=\frac{1}{2} ; \) other terms \( 4, \frac{9}{2}, 5 \)
B. \( a=3 ; d=\frac{1}{2} ; \) other terms 6,8,10
c. \( _{a}=2 ; d=\frac{3}{2} ; \) other terms 7,8,15
D. \( a=3 ; d=\frac{3}{2} ; \) other terms 4,5,15
Subject: Maths
If the function \( f \) defined on \( \left(-\frac{1}{3}, \frac{1}{3}\right) \) by \( \boldsymbol{f}(\boldsymbol{x})= \)
\( \left\{\begin{array}{ll}\frac{1}{x} \log _{e}\left(\frac{1+3 x}{1-2 x}\right), & \text { when } x \neq 0 \\ k, & \text { when } x=0\end{array}\right. \)
is continuous, then k is equal to
Subject: Physics
The length of a steel wire is \( l_{1} \) when the
stretching force is \( T_{1} \) and \( l_{2} \) when the
stretching force is \( T_{2} \) The natural length of the wire is
\( ^{\text {A } \cdot \frac{l_{1} T_{1}+l_{2} T_{2}}{T_{1}+T_{2}}} \)
в. \( \frac{l_{2} T_{1}+l_{2} T_{2}}{T_{1}+T_{2}} \)
c. \( \frac{l_{2} T_{1}+l_{2} T_{2}}{T_{1}-T_{2}} \)
D. \( \frac{l_{2} T_{1}-l_{1} T_{2}}{T_{1}-T_{2}} \)
Subject: Physics
A wheel of mass \( 10 k g \) and radius \( 20 c m \)
is rotating at an angular speed pf 100 revolution/min when the motor is
turned off. neglecting the friction at the axle, Calculate the force that must be applied tangentially to the wheel to bring it to rest in 10 revolutions?
A . 0.02
B. 0.23
\( c \cdot 0.05 \)
D. 0.87
Subject: Maths
The function \( f(x)=\frac{\sin x}{x} \) is decreasing
in the interval
\( ^{\mathbf{A}} \cdot\left(-\frac{\pi}{2}, 0\right) \)
B. \( \left(0, \frac{\pi}{2}\right) \)
\( ^{\mathbf{c}} \cdot\left(-\frac{\pi}{4}, 0\right) \)
D. None of these
Subject: Maths
Suppose a population \( A \) has 100
observations \( 101,102, \ldots, 200 \) and
another population \( B \) has 100
observations \( 151,152,153, \dots, 250 . \) If
\( V_{A} \) and \( V_{B} \) represent the variances of
the two populations respectively, then \( \frac{\boldsymbol{V}_{\boldsymbol{A}}}{\boldsymbol{V}_{\boldsymbol{B}}} \) is
\( \mathbf{A} \cdot \mathbf{1} \)
B. \( \frac{9}{4} \)
\( c \cdot \frac{4}{9} \)
D. \( \frac{2}{3} \)
Subject: Physics
In the given arrangement the maximum
value of \( F \) for which there is no relative
motion between the blocks
A \( \cdot \mu m_{1} \S \)
В. \( \mu\left(m_{1}+m_{2}\right) \) в
\( c \)
\[
\mu m_{1} g\left(\frac{m_{1}}{m_{2}}+1\right)
\]
D. zero
Subject: Maths
Evaluate \( \int \frac{x}{\sqrt{x^{2}+2}} d x \)
A \( . I=\sqrt{x^{2}-2}+C \)
B. \( I=\sqrt{x^{2}+2}+C \)
c. \( I=\sqrt{x^{3}+2}+C \)
D. \( I=\sqrt{x^{3}-2}+C \)
Subject: Chemistry
One molecule of haemoglobin will combine with four molecules of oxygen.
If \( 1.0 g \) of haemoglobin combines with
\( 1.642 m l \) of oxygen at body temperature
\( \left(27^{\circ} C\right) \) and a pressure of 760 tor \( r \) what is the molar mass of haemoglobin?
A. 6,00,000
в. 1,50,000
c. 15,000
D. 60,000
Subject: Physics
Define refraction of light waves.
Draw a ray diagram for refraction at a spherical separating two media. For refraction at a spherical surface, derive
the relation \( \frac{\boldsymbol{n}_{2}}{\boldsymbol{v}}-\frac{\boldsymbol{n}_{1}}{\boldsymbol{u}}=\frac{\boldsymbol{n}_{2}-\boldsymbol{n}_{1}}{\boldsymbol{R}} \) in
object distance \( (u), \) image distance \( (v) \)
refractive index of media \( \left(n_{1}, n_{2}\right) \) and radius of curvature \( (\boldsymbol{R}) \)
Subject: Chemistry
in \( 1 L \) saturated solution of
\( \boldsymbol{A} \boldsymbol{g} \boldsymbol{C l}\left[\boldsymbol{K}_{s p}(\boldsymbol{A} \boldsymbol{g} \boldsymbol{C l})=\mathbf{1 . 6} \times \mathbf{1 0}^{-\mathbf{1 0}}\right] \)
\( \mathbf{0 . 1} \) mol of
\( \boldsymbol{C u} \boldsymbol{C l}\left[\boldsymbol{K}_{s p}(\boldsymbol{C u C l})=\mathbf{1} \times \mathbf{1 0}^{-\mathbf{6}}\right] \)
added. The resultant concentration of
\( A g^{+} \) in the solution is \( 1.6 \times 10^{-x} \). The
value of \( x \) is:
Subject: Chemistry
The correct statement about the
following disaccharide is:

This question has multiple correct options
A. ring
(a) is pyranonse with \( \alpha \) - glycosidic link
B. ring
(a) is furanonse with \( \alpha \) - glycosidic link
C . ring
(b) is furanonse with \( \alpha \) - glycosidic link
D. ring
(b) is pyranonse with \( \beta \) - glycosidic link
Subject: Chemistry
1.375 g of cupric oxide was reduced by heating in a current of hydrogen and the weight of copper obtained was 1.098 g. In another experiment, 1.179 g of copper was dissolved in nitric acid and the
resulting solution was evaporated to dryness. The residue of copper nitrate when strongly heated was converted into 1.4476 g of cupric oxide. The result of this process show:
A. law of reciprocal proportion
B. law of multiple proportion
c. law of constant proportion
D. none of these
Subject: Biology
Column I represent the size of the soil
particles and Column II represents type of solid components. Which of the following is correct match for the Column I and Column II.

Column I
A.
0.2 to 2.00
mm
B. Less than
\( 0.002 \mathrm{mm} \)
(ii) \( \quad \) Clay
0.02 to 0.2
\( \mathrm{mm} \) coarse sanc
\( \begin{array}{ll}\text { c. } & \text { (iii) } \\ \text { menticle }\end{array} \)
D. 0.002 to 0.02
\( \mathrm{mm} \)
(iv) fine sand
particle
\( A \cdot A-(i i), B-(i i i), C-(i v), D-(i) \)
B. A - (iv), B - (i), C - (iii), D - (ii)
c. \( A- \) (iii), \( B- \) (ii), \( C-(i v), D- \) (i)
D. None of the above
Subject: Physics
The reflected and refracted rays are
observed to be perpendicular to each other, when ray of light is incident at an
angle of \( 60^{\circ} \) on a transparent block. The refractive index of that block is:
\( A \cdot \frac{3}{2} \)
B. \( \frac{1}{2} \)
c. \( \frac{2}{\sqrt{3}} \)
D. \( \sqrt{3} \)
Subject: Maths
Find \( 7^{t h} \) term of \( \left(\frac{4 x}{5}-\frac{5}{2 x}\right)^{9} \)
A. \( \frac{10050}{x^{3}} \)
в. \( \frac{10500}{x^{3}} \)
c. \( \frac{1050}{x^{3}} \)
D. \( \frac{1000}{x^{3}} \)
Subject: Chemistry
On heating with concentrated NaOH
solution in an inert atmosphere of \( \boldsymbol{C O}_{2} \)
white phosphorus gives a gas. Which of the following statements is incorrect about the gas?
A. It is highly poisonous and has smell like rotten fish.
B. Its solution in water decomposes in the presence of light
c. It is more basic than \( N H_{3} \)
D. It is less basic than \( N H_{3} \)
Subject: Physics
A particle of mass \( \mathrm{m} \) is allowed to
oscillate near the minimum of a vertical
parabolic path having the equation \( x^{2}=4 a y . \) The time period of small
oscillation of the particle given by
A \( \cdot 2 \pi \sqrt{\frac{a}{g}} \)
B \( .2 \pi \sqrt{\frac{g}{2 a}} \)
\( \mathbf{C} \cdot 2 \pi \sqrt{\frac{a}{2 g}} \)
D. \( 2 \pi \sqrt{\frac{3 a}{2 g}} \)
Subject: Chemistry
Assuming Z-axis as molecular axis, the molecular orbitals formed by the combination of atomic orbitals is
labeled as \( 2 p_{x}+2 p_{x} \) is :
A \( \cdot \pi 2 p_{x} \)
В . \( \pi p_{x} \)
c. \( \pi / 2 p_{x} \)
D. \( \pi p_{y} \)
Subject: Chemistry
Bond dissociation energy of \( \boldsymbol{X} \boldsymbol{Y}, \boldsymbol{X}_{2} \)
and \( Y_{2} \) (all diatomic molecules) are in
the ratio of 1: 1: 0.5 and \( \Delta H_{f} \) of \( X Y \) is
\( -100 k J m o l^{-1} . \) The bond dissociation
energy of \( X_{2} \) is \( 100 x . \) Find the value of \( x \)
\( A \cdot 4 \)
B.
\( c \cdot 8 \)
D. 10
Subject: Maths
If \( A \) and \( B \) are independent event such \( \operatorname{that} \boldsymbol{P}\left(\boldsymbol{A} \cap \boldsymbol{B}^{\prime}\right)=\frac{\boldsymbol{3}}{25} \) and \( \boldsymbol{P}\left(\boldsymbol{A}^{\prime} \cap \boldsymbol{B}\right)= \)
\( \frac{8}{25}, \) then \( P(A)= \)
A . \( 1 / 5 \)
в. \( 3 / 8 \)
c. \( 2 / 5 \)
D. \( 4 / 5 \)
Subject: Physics
One a.m.u is defined as mass of :
A \( \cdot \frac{1^{t h}}{16} \) the mass of one oxygen atom
B. \( \frac{1}{14}^{t h} \) the mass of one atom of nitrogen
C. \( \frac{1}{12}^{\text {th }} \) the mass of one carbon-12
D. None of above
Subject: Maths
The hollow sphere, in which the circus motorcyclist performs his stunts, has diameter of 7 m. Find the area available
to motorcyclist for riding.
A \( .154 \mathrm{m}^{2} \)
B. \( 144 \mathrm{m}^{2} \)
c. \( 38.5 \mathrm{m}^{2} \)
D. \( 176 m^{2} \)
Subject: Physics
A circular coil of radius \( 10 \mathrm{cm}, 500 \)
turns and resistance \( 2 \Omega \) is placed with
its plane perpendicular to the horizontal component of the earth's magnetic field
If is rotated about its vertical diameter
through \( 180^{\circ} m \) in \( 0.25 s . \) The current induced in the coil is
(Horizontal component of the earth's magnetic field at that place is \( 3.0 \times \) \( \left.10^{-5} T\right) \)
A \( \cdot 1.9 \times 10^{-3} A \)
A \( .1 .9 \times 10^{-3} \)
B . \( 2.9 \times 10^{-3} A \)
\( \mathbf{c} \cdot 3.9 \times 10^{-3} A \)
D. \( 4.9 \times 10^{-3} A \)
Subject: Maths
If \( \mathbf{3} \boldsymbol{A}=\left[\begin{array}{ccc}\mathbf{1} & \mathbf{2} & \mathbf{2} \\ \mathbf{2} & \mathbf{1} & -\mathbf{2} \\ \boldsymbol{x} & \mathbf{2} & \boldsymbol{y}\end{array}\right], \) and \( \boldsymbol{A} \boldsymbol{A}^{\prime}=\boldsymbol{I} \)
then \( -\boldsymbol{x}-\boldsymbol{y}=\ldots \)
Subject: Maths
If \( I=\int_{1 / \pi}^{\pi} \frac{1}{x} \cdot \sin \left(x-\frac{1}{x}\right) d x, \) then \( I \) is
equal to
A . 0
в. \( \pi \)
c. \( _{\pi-\frac{1}{\pi}} \)
D. \( \pi+\frac{1}{\pi} \)
Subject: Maths
If \( \boldsymbol{P}=\left[\begin{array}{cc}\frac{\sqrt{\mathbf{3}}}{\mathbf{2}} & \frac{\mathbf{1}}{\mathbf{2}} \\ -\frac{\mathbf{1}}{\mathbf{2}} & \frac{\sqrt{\mathbf{3}}}{\mathbf{2}}\end{array}\right], \boldsymbol{A}=\left[\begin{array}{ll}\mathbf{1} & \mathbf{1} \\ \mathbf{0} & \mathbf{1}\end{array}\right] \) and
\( \boldsymbol{Q}=\boldsymbol{P} \boldsymbol{A} \boldsymbol{P}^{T}, \) then \( \boldsymbol{P}^{T} \boldsymbol{Q}^{2015} \boldsymbol{P} \) is:
A. \( \left[\begin{array}{cc}0 & 2015 \\ 0 & 0\end{array}\right] \)
B. \( \left[\begin{array}{cc}2015 & 0 \\ 1 & 2015\end{array}\right] \)
c. \( \left[\begin{array}{cc}2015 & 1 \\ 0 & 2015\end{array}\right] \)
D. \( \left[\begin{array}{cc}1 & 2015 \\ 0 & 1\end{array}\right] \)
Subject: Maths
A man running round a race course note
that the sum of the distances of two
flag posts from him is 8 meters. The
area of the path he encloses in square meters if the distance between the flag
posts is 4 is:
\( \mathbf{A} \cdot 15 \pi \)
в. \( 12 \pi \)
c. \( 18 \pi \)
D. \( 8 \sqrt{3} \pi \)
Subject: Chemistry
On the basis of the following \( E^{o} \) values, the strongest oxidising agent is:
\( \left[\boldsymbol{F} \boldsymbol{e}(\boldsymbol{C} \boldsymbol{N})_{\boldsymbol{6}}\right]^{4-} \longrightarrow\left[\boldsymbol{F} \boldsymbol{e}(\boldsymbol{C} \boldsymbol{N})_{\boldsymbol{6}}\right]^{\boldsymbol{3}+}+ \)
\( \boldsymbol{e}^{-}, \boldsymbol{E}^{o}=-\mathbf{0 . 3 5} \boldsymbol{V} \)
\( \boldsymbol{F} \boldsymbol{e}^{2+} \rightarrow \boldsymbol{F} \boldsymbol{e}^{\boldsymbol{3}+}+\boldsymbol{e}^{-1} \)
\( \boldsymbol{F} \boldsymbol{e}^{2+} \rightarrow \boldsymbol{F} \boldsymbol{e}^{\boldsymbol{3}+}+\boldsymbol{e}^{-1} ; \boldsymbol{E}^{\boldsymbol{o}}=-\boldsymbol{0 . 7 7} \boldsymbol{V} \)
A \( \cdot F e^{3} \)
в. \( \left[F e(C N)_{6}\right]^{3-} \)
\( \mathrm{c} \cdot\left[\mathrm{Fe}(\mathrm{CN})_{6}\right]^{4} \)
D. \( F e^{2} \)
Subject: Chemistry
If a metal is irradiated with light of
frequency \( 3 \times 10^{19} \mathrm{sec}^{-1}, \) the electron
is emitted with a kinetic energy of \( 6.625 \times 10^{-15} \) J. The threshold
frequency of the metal is
A \( \cdot 2 \times 10^{19} \sec ^{-1} \)
B. \( 1.25 \times 10^{19} \mathrm{sec}^{-1} \)
c. \( 6.625 \times 10^{35} \mathrm{sec}^{-1} \)
D. \( 6.625 \times 10^{19} \sec ^{-1} \)
Subject: Physics
A metallic wire of length \( L \) metre
extends by \( \ell \) metre when stretched by suspending a weight \( M g \) from it. The mechanical energy stored in the wire is
\( \mathbf{A} \cdot 2 M g \ell \)
в. \( M g \ell \)
c. \( \frac{M g \ell}{2} \)
D. \( \frac{M g \ell}{4} \)
Subject: Chemistry
Which is not redox change?
\( \mathbf{A} \cdot C a C O_{3} \rightarrow C a O+C O_{2} \)
\( \mathbf{B} \cdot 2 H_{2}+O_{2} \rightarrow 2 H_{2} O \)
\( \mathrm{c} \cdot_{N a}+H_{2} O \rightarrow N a O H+\frac{1}{2} H_{2} \)
D. \( M n C I_{3} \rightarrow M n C I_{2}+\frac{1}{2} C I_{2} \)
Subject: Maths
Trapezoidal rule for evaluation of \( \int_{a}^{b} f(x) d x \) requires the interval \( (a, b) \) to
be divided into
A. \( 2 n \) sub-intervals of equal width
B. any number of sub intervals of not equal width
C . any number of sub intervals of equal width
D. \( 3 n \) sub-intervals of equal width
Subject: Chemistry
In the above reaction if \( A \) is \( N H_{4} C l \) and
\( D \) is \( C O_{2} \) then \( B \& C \) respectively are:
\( (A)+N a O H \rightarrow N a C l+N H_{3}+H_{2} O \)
\( N H_{3}+C O_{2}+H_{2} O \rightarrow(B) \)
(B) \( +N a C l \rightarrow(C)+N H_{4} C l \)
\( (\mathrm{C}) \rightarrow N a_{2} C O_{3}+H_{2} O+(D) \)
A. \( N H_{4} H C O_{3}, N a H C O_{3} \)
в. \( \operatorname{NaHCO}_{3, N H_{4} H C O_{3}} \)
\( \mathrm{c} \cdot_{\left(N H_{4}\right)_{2}} C O_{3}, N a_{2} C O_{3} \)
D. \( \operatorname{Na}_{2} \operatorname{CO}_{3},\left(N H_{4}\right)_{2} C O_{3} \)
Subject: Chemistry
Arrange the following in their
decreasing order of acidity.
\( \mathbf{1} \)
II.
III.
\( \mathbf{I V} . \mathrm{NH}_{3} \)
A. \( I I I>I V>I>I I \)
В . \( I>I I>I I I>I V \)
\( \mathbf{c} \cdot I V>I I I>I I>I \)
D. \( I I>I I I>I>I V \)
Subject: Physics
A ball is thrown vertically downwards from a height of \( 20 \mathrm{m} \) with an initial
velocity \( v_{0} . \) It collides with the ground, loses 50 percent of its energy in collision and rebounds to the same
height. The initial velocity \( v_{0} \) is (Take
\( \boldsymbol{g}=\mathbf{1 0} \boldsymbol{m} \boldsymbol{s}^{-2} \mathbf{)} \)
A \( \cdot 10 m s^{-1} \)
B. \( 14 \mathrm{ms}^{-1} \)
\( \mathrm{c} \cdot 20 \mathrm{ms}^{-1} \)
D. \( 28 m s^{-1} \)
Subject: Chemistry
Calculate the solubility of \( A g C N \) in a
buffer solution of \( \boldsymbol{p} \boldsymbol{H}=\mathbf{3}, \boldsymbol{K}_{s p} \) of
\( A g C N=1.2 \times 10^{-15} \) and \( K a \) of
\( \boldsymbol{H C N}=\mathbf{4 . 8} \times \mathbf{1 0}^{-\mathbf{1 0}} \)
A \( \cdot 4 \times 10^{-5} M \)
В. \( 4.5 \times 10^{-6} M \)
c. \( 5 \times 10^{-5} M \)
D. \( 5.5 \times 10^{-3} M \)
Subject: Maths
If the mean deviation about mean
\( \mathbf{1}, \mathbf{1}+\boldsymbol{d}, \mathbf{1}+\mathbf{2} \boldsymbol{d}, \dots \mathbf{1}+\mathbf{1 0 0} \boldsymbol{d} \) from their
mean is \( 255, \) then the \( d \) is equal to
A . 10
B. 20
c. \( 10 . \)
D. 20.2
Subject: Physics
A metal wire of resistance \( 3 \Omega \) is
elongated to make a uniform wire of
double its previous length. This new wire is now bent and the ends joined to make a circle. If two points on this circle
make an angle \( 60^{\circ} \) at the centre, the equivalent resistance between these
two points will be?
A \( \cdot \frac{12}{5} \Omega \)
в. \( \frac{5}{3} \Omega \)
c. \( \frac{5}{2} \Omega \)
D. \( \frac{7}{2} \Omega \)
Subject: Maths
The volume of the greatest sphere cut off from a cylindrical wood of base radius \( 1 \mathrm{cm} \) and height \( 5 \mathrm{cm} \) is
A \( \cdot \frac{4}{3} \times(5 \pi) c m^{3} \)
в. \( \frac{4}{3} \pi c m^{3} \)
c. \( 5 \pi c m^{3} \)
D. \( \frac{10 \pi}{3} \mathrm{cm}^{3} \)
Subject: Maths
Find the modulus and the principal
argument of the complex number
\( (\tan 1-i)^{2} \)
\( \mathbf{A} \cdot|z|=(\tan 1)^{2}+1, z \) lies in 4 rd quadrant, \( \arg (z)=2- \)
\( \pi / 2 \)
B \( \cdot|z|=(\tan 1)^{2}+1, z \) lies in 4 rd quadrant, \( \arg (z)=2-\pi \)
\( \mathbf{C} \cdot|z|=(\tan 1)^{2}+1, \mathbf{z} \) lies in \( 3 \mathrm{rd} \) quadrant, \( \arg (z)=2- \)
\( \pi / 2 \)
D \( \cdot|z|=(\tan 1)^{2}+1, z \) lies in 3rd quadrant, \( \arg (z)=2-\pi \)
Subject: Maths
If \( \boldsymbol{x}=\mathbf{2}^{\mathbf{3}} \times \mathbf{4}^{\mathbf{2}} \times \mathbf{1} \mathbf{7}^{\mathbf{3}}, \) then which
number should be divided by \( x \) to get a
perfect cube.
\( A \cdot 2 \)
B. 4
c. 8
D. 17
Subject: Physics
The half life of a neutron is 800 sec. \( 10^{8} \)
neutrons at a certain instant are
projected from one space station towards another space station, situated \( 3200 \mathrm{km} \) away, with a velocity \( 2000 \mathrm{m} / \mathrm{s} \)
their velocity remains constant during the journey. How many neutrons reach the oyher station?
A \( .50 \times 10^{6} \)
B . \( 25 \times 10^{6} \)
c. \( 80 \times 10^{5} \)
D. \( 25 \times 10^{5} \)