AkshitPareek2004/jee-question-analyzer-data huggingface dataset:
Subject: Chemistry
Assertion
Superoxides contain the \( O_{2}^{-} \) ion which has one unpaired electron.
Reason
Superoxides contain the \( O_{2}^{-} \) ion which
has one unpaired electron in its antibonding orbital
A. Assertion is true, Reason is true and Reason is correct explanation for Assertion
B. Assertion is true, Reason is true and Reason is NOT the correct explanation for Assertion
c. Assertion is true, Reason is false
D. Assertion is false, Reason is true
Subject: Chemistry
The correct order according to acidic
nature is:
A. \( C H_{3} O H<C H_{3} S H<C H_{3} N H_{2} \)
в. \( C H_{3} N H_{2}<C H_{3} O H<C H_{3} S H \)
\( \mathbf{c} \cdot C H_{3} S H<C H_{3} O H<C H_{3} N H_{2} \)
D. none of these
Subject: Maths
Which of the following are equations for
the plane passing through the points
\( P(1,1,-1), Q(3,0,2) \) and \( R(-2,1,0) ? \)
A \( \cdot(2 \hat{i}-3 \hat{j}+3 \hat{k}) \cdot((x+2) \hat{i}+(y-1) \hat{j}+z \hat{k})=0 \)
B . \( x=3-t, y=-11 t, z=2-3 t \)
\( \mathbf{c} \cdot(x+2)+11(y-1)=3 x \)
D. \( (2 \hat{i}-\hat{j}+3 \hat{k}) \times(-3 \hat{i}+\hat{k}) \cdot((x+2) \hat{i}+(y-1) \hat{j}+z \hat{k})= \)
0
Subject: Maths
If a point \( \boldsymbol{P} \) from where line drawn cuts
coordinates axes at \( A \) and \( B \) (with \( A \) on
\( x-\text { axis and } B \text { on } y-\text { axis }) \) satisfies \( \alpha \frac{x^{2}}{P B^{2}}+\beta \frac{y^{2}}{P A^{2}}=1, \) then \( \alpha+\beta \) is
\( A \cdot 1 \)
B. 2
\( c .3 \)
D. 4
Subject: Maths
\( \left(49 x^{2} y z+35 p\right) \div 7 \) is equal to
A \( \cdot 7 x^{2} y z-35 p \)
B. \( 7 x^{2} y z+35 p \)
c. \( 7 x^{2} y z-5 p \)
D. \( 7 x^{2} y z+5 p \)
Subject: Physics
Two spheres are placed into free fall
from rest. Sphere B has a mass three
times larger than sphere A.Which statement(s) correctly explains the situation?
I. Sphere B falls faster.
Il. Sphere B has more momentum when the two reach the ground.
III. Both spheres reach the ground with
the same kinetic energy
A. I only
B. II only
c. I and III only
D. II and II only
E . ।, II, and III
Subject: Maths
Four equal circles describe the four corners of a square such that each touches two of the others. If each side of
the square is \( 14 \mathrm{cm} \), then the area
enclosed between the circumferences of
the circle is:
A. 24 sq cm
B. 42 sq \( \mathrm{cm} \)
c. 154 sq \( \mathrm{cm} \)
D. 196 sq \( \mathrm{cm} \)
Subject: Physics
A coil carrying current \( l \) has radius and number of units \( n \). It is rewound so that radius of new coil is \( \frac{r}{4} \) and it
carries current \( l . \) The ratio of magnetic moment of new coil to that of original
coil is
A .
B. \( \frac{1}{2} \)
\( c \cdot \frac{1}{4} \)
D. 8
Subject: Physics
A ball of mass \( \mathrm{m} \) is thrown vertically upward from the ground and reaches a height h before momentarily coming to rest.If \( g \) is acceleration due to gravity,the impulse received by the ball due to gravity force during its flight is
\( \mathbf{A} \cdot \sqrt{2 m^{2} g h} \)
в. \( \sqrt{4 m^{2} g h} \)
\( \mathbf{c} \cdot \sqrt{8 m^{2} g h} \)
D. \( 4 \sqrt{m^{2} g h} \)
Subject: Physics
A plane wavefront \( A_{1} B_{1} \) is incident at a
boundary \( A_{1} B_{2} \) as shown. It takes time
\( \tau \) for the wavefront to travel from \( B_{1} \) to
\( B_{2} . \) Speeds of propagation of light in
medium 1 and 2 are \( v_{1} \) and \( v_{2} \)
respectively and \( v_{2}>v_{1} . \) For the total
internal reflection of wavefront.
\( \mathbf{A} \cdot v_{1} \tau>A_{1} B_{2} \)
B . \( v_{2} \tau>A_{1} B_{2} \)
c. \( v_{1} \tau<A_{1} B_{2} \)
D. \( v_{2} \tau<A_{1} B_{2} \)
Subject: Chemistry
The volume strength of \( \boldsymbol{H}_{2} \boldsymbol{O}_{2} \) solution
is \( 10 . \) It means:
A \( \cdot \) at \( \operatorname{s.} \). \( . P . \) 10 \( g \) solution of \( H_{2} O_{2} \) gives 10 mL of \( O_{2} \)
B. at S.T.P. 1 g equivalent of \( H_{2} O_{2} \) gives \( 10 \mathrm{mL} \) of \( O_{2} \)
c. at st.P. 10 litre solution of \( H_{2} O_{2} \) gives \( 10 \mathrm{mL} \) of \( O_{2} \)
D. at S.T.P. 1 mL solution of \( H_{2} O_{2} \) gives \( 10 \mathrm{mL} \) of \( O_{2} \)
Subject: Chemistry
Given that \( \boldsymbol{K}_{c}=\mathbf{1 3 . 7} \) at \( \mathbf{5 4 6 K} \) for
\( \boldsymbol{P C l}_{5}(\boldsymbol{g}) \rightleftharpoons \boldsymbol{P C l}_{3}(\boldsymbol{g})+\boldsymbol{C l}_{2}(\boldsymbol{g}) \)
calculate what pressure will develop in a 10 litre box at equilibrium at \( 546 K \)
when 1.00 mole of \( P C l_{5} \) is injected into
the empty box?
Subject: Physics
For a horizontal rod of moment of inertia
I if a constant force \( F \) acts on the rod at
an angle \( \theta \) with the horizontal, the
torque equation for the rod will be (NOTE: The rod is lying on a floor horizontally)
A \( \cdot I d^{2} \theta / d t^{2}=2 F L \theta \)
B . \( I d^{2} \theta / d t^{2}=F L \theta \)
\( \mathbf{c} \cdot I d^{2} \theta / d t^{2}=(F L / 2) \)
D. None of the above
Subject: Physics
Two horizontal discs of different radii
are free to rotate about their central
vertical axes. One is given some angular
velocity, the other is stationary. Their rims are now brought in contact. There
is friction between the rims. Then which
of the following statement(s) is/are true
\( ? \)
This question has multiple correct options
A. The force of friction between the rims will disappear when the discs rotate with equal angular speeds.
B. The force of friction between the rims will disappear when they have equal linear velocities
C. The angular momentum of the system will be conserved.
D. The rotational kinetic energy of the system will not be conserved
Subject: Maths
A function \( f \) is defined by \( f(x)= \) \( \frac{1}{2^{r-1}}, \frac{1}{2 r}<x \leq \frac{1}{2^{r-1}}, r=1,2,3, \dots . \)
then the value of \( \int_{0}^{1} f(x) d x \) is equal
A
B.
\( c \cdot \frac{2}{3} \)
D.
Subject: Physics
How can be rule be brought in
equilibrium by using an additional
weight of \( 40 g f ? \)
A. By placing the additional weight of \( 80 g f \) at the 30 cm mark
mark
c. By placing the additional weight of \( 40 g f \) at the 30 cm mark
D. By placing the additional weight of \( 40 g f \) at the 70 cm mark
Subject: Maths
The set of all points of continuity of \( f o \) fo\( f, \) where \( f(x)=\operatorname{sgn} x \) is
A \( . R \sim\{0\} \)
в. \( R \sim\{1,0,1\} \)
c. \( R \sim\{-1,1\} \)
D. none of these
Subject: Physics
A mercury thermometer is transferred from melting ice to a hot liquid. The
mercury rises to \( 9 / 10 \) of the distance between the two fixed points. Find the temperature of the liquid in Fahrenheit scale.
\( \mathbf{A} \cdot 197^{\circ} F \)
B . \( 162^{\circ} \mathrm{F} \)
\( \mathbf{c} \cdot 112^{\circ} F \)
D. \( 113^{\circ} F \)
Subject: Chemistry
Assertion
On heating a substance to its melting
point, inter-particle space increases.
Reason
When a substance is heated, the kinetic
energy of the particles(molecules/atoms) increases,
due to which they push each other farther than their mean position.
A. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
B. Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion
C. Assertion is correct but Reason is incorrect.
D. Both Assertion and Reason are incorrect.
Subject: Maths
The coordinates of a point on the line ye where perpendicular from the line \( 3 x+4 y=12 \) is 4 units, are
A \( \cdot\left(\frac{3}{7}, \frac{5}{7}\right) \)
в. \( \left(\frac{3}{2}, \frac{3}{2}\right) \)
\( c \cdot\left(-\frac{8}{7},-\frac{8}{7}\right) \)
D. \( \left(\frac{32}{7},-\frac{32}{7}\right) \)
Subject: Maths
A swimming pool is \( 18 \mathrm{m} \) long and \( 8 \mathrm{m} \) wide. Its deep and shallow ends are \( 2 \mathrm{m} \) and \( 1.2 \mathrm{m} \) respectively. Find the capacity of the pool, assuming that the bottom of the pool slopes uniformly.
A . 230.4 cu. \( \mathrm{m} \)
B. 420.4 cu. \( \mathrm{m} \)
c. 340.4 cu. \( \mathrm{m} \)
D. 190.4 cu. \( m \)
Subject: Biology
toppr
Q Type your question-
question.
The auxin was dissolved in a gelatin
block; gelatin does not affect the biological activity of the auxin. Several plant seedlings were prepared in a gelatin block; gelatin does not affect the biological, activity of the auxin. Several plant seedlings were prepared as described above and growth was
measured every 5 days.
Based on the results of the experiment,
one can conclude that the tip of the
plant contains
Plant Plant 2 Not cut, Tip removed Tip removed thing applied nothing applied gelatin alone applied
Plant premoved
Tip removed + auxin as past leaf
A. Gelatin
B. Paste
c. Auxin
D. None of these
Subject: Chemistry
Calculate the standard EMF of the
following cell \( \boldsymbol{C} \boldsymbol{d}\left|\boldsymbol{C} \boldsymbol{d}^{2+} \| \boldsymbol{A} \boldsymbol{g}^{+}\right| \boldsymbol{A} \boldsymbol{g} \)
Given that \( \boldsymbol{E}_{\boldsymbol{C d}^{2+} \mid \boldsymbol{C d}}^{\boldsymbol{o}}= \)
\( -\mathbf{0 . 4 0} V, E_{A g^{o} \mid A g}^{o}=\mathbf{0 . 8 V} \)
Subject: Maths
\( l x+m y+n=0 \) is a tangent line to
the circle \( x^{2}+y^{2}=r^{2}, \) if
A \( \cdot l^{2}+m^{2}=n^{2} r^{2} \)
B . \( l^{2}+m^{2}=n^{2}+r^{2} \)
C \( \cdot n^{2}=r^{2}\left(l^{2}+m^{2}\right) \)
D. none of these
Subject: Physics
Find the angle of incidence on the surface of a diamond of refractive index
\( 2.4, \) if the angle between the reflected
and refracted rays is \( 90^{\circ} \)
\( \mathbf{A} \cdot \tan ^{-1}(2.4) \)
B. \( \sin ^{-1}\left(\frac{1}{2.4}\right) \)
\( ^{\mathbf{c}} \cdot \tan ^{-1}\left(\frac{1}{2.4}\right) \)
D. \( \cos ^{-1}\left(\frac{1}{2.4}\right) \)
Subject: Chemistry
Volume (in litres) of \( 0.1 \mathrm{M} \boldsymbol{H}_{2} \boldsymbol{S O}_{4} \)
required to completely neutralize 1 litres of \( 0.5 \mathrm{M} \) NaOH is:
\( \mathbf{A} \cdot \mathbf{5} \)
в. 2.
c. 0.5
D. 10
Subject: Physics
If a particle of \( 1 K g \) at mars is pushed through a distance of \( 5 m \). Calculate the
total work done. \( \left(\operatorname{given} \mu_{m}=0.3 \) and \right.
\( \left.\boldsymbol{g}_{m}=\mathbf{5} \boldsymbol{m} / \boldsymbol{s}^{2}\right) \)
A . \( 10 J \)
в. 7.5 .5
\( c .0 J \)
D. None
Subject: Physics
When a resistance of 2 ohms is
connected across the terminals of a
cell,the current is 0.5 A. When the
resistance is increased to 5 ohms,the current becomes 0.25 A. The e.m.f. of the cell is :-
A . 1.0
B. 1.5
c. \( 2.0 v \)
D. 2.5
Subject: Physics
Capacity of a parallel plate condenser is \( 10 \mu F \) when the distance between the plates is \( 8 \mathrm{cm} . \) If the distance between the plates is reduced to \( 4 \mathrm{cm}, \) its capacity will be:
A. \( 10 \mu F \)
B. \( 15 \mu F \)
c. \( 20 \mu F \)
D. \( 40 \mu F \)
Subject: Chemistry
Dry air was passed successively through a solution of 5 g of a solute in \( 180 \mathrm{g} \) of water and then through pure water. The loss in weight of solution was \( 2.50 \mathrm{g} \) and that of pure solvent 0.04 g. The molecular weight of the solute is:
\( \mathbf{A} \cdot 31.25 \)
B. 3.125
c. 312.5
D. None of the above
Subject: Chemistry
Write expressions for \( \boldsymbol{K}_{\boldsymbol{P}} \) for the
following equilibria:
\( \mathbf{4} N \boldsymbol{H}_{3(g)}+\mathbf{5} \boldsymbol{O}_{2(g)} \rightleftharpoons \boldsymbol{4} \boldsymbol{N} \boldsymbol{O}_{(g)}+ \)
\( \mathbf{6} \boldsymbol{H}_{2} \boldsymbol{O}_{(g)} \)
\( \boldsymbol{N} \boldsymbol{H}_{3(g)}+\boldsymbol{H} \boldsymbol{C} \boldsymbol{I}_{(g)} \rightleftharpoons \boldsymbol{N} \boldsymbol{H}_{4} \boldsymbol{C l}_{(s)} \)
\( \mathbf{2} \boldsymbol{C} \boldsymbol{L}_{\mathbf{2}(\boldsymbol{g})}+\mathbf{2} \boldsymbol{N} \boldsymbol{O}_{\mathbf{2}(\boldsymbol{g})} \rightleftharpoons \mathbf{2} \boldsymbol{N} \boldsymbol{O}_{\mathbf{2}} \boldsymbol{C l}_{\mathbf{2}(\boldsymbol{g})} \)
Subject: Maths
Vertices of a parallelogram \( A B C D \) are
\( \boldsymbol{A}(\mathbf{3}, \mathbf{1}), \boldsymbol{B}(\mathbf{1 3}, \mathbf{6}), \boldsymbol{C}(\mathbf{1 3}, \mathbf{2 1}) \) and
\( D(3,16) . \) If a line passing through the origin divides the parallelogram into two congruent parts then the slope of the line is
A \( \cdot \frac{11}{12} \)
в. \( \frac{11}{8} \)
c. \( \frac{25}{8} \)
D. \( \frac{13}{8} \)
Subject: Chemistry
Identify the pollutant gases largely responsible for the discoloured and lustreless nature of marble of the Taj Mahal.
A. \( C O_{2} \) and \( N O_{2} \)
в. \( S O_{2} \) and \( N O_{2} \)
\( \mathrm{c} \cdot \mathrm{O}_{3} \) and \( \mathrm{CO}_{2} \)
\( \mathrm{D} \cdot \mathrm{SO}_{2} \) and \( \mathrm{O}_{3} \)
Subject: Physics
The input resistance of a common emitter transistor amplifier, if the
output resistance is \( 500 \mathrm{k} \Omega \), the
current gain \( \alpha=0.98 \) and the power
\( \operatorname{gain} \) is \( 6.0625 \times 10^{6}, \) is
\( \mathbf{A} \cdot 198 \Omega \)
в. 300\Omega
c. \( 100 \Omega \)
D. \( 400 \Omega \)
Subject: Physics
The minimum energy required to
launch a \( m \) kg satellite from earth's surface in a circular orbit at an altitude
of \( 2 R \) where \( R \) is the radius of earth, will
be:
\( \mathbf{A} \cdot 3 m g R \)
в. \( \frac{5}{6} \) mg \( R \)
c. \( 2 m g R \)
D. \( \frac{1}{5} m g R \)
Subject: Physics
A car is moving on a frictionless (in the radial direction) circular banked road,
with a banking angle of \( 15^{\circ}, \) find the
velocity of the car. Mass of car is \( 600 k g \), the radius of the
circular road \( =10 m \)
Assume \( \boldsymbol{g}=\mathbf{9 . 8 1} \boldsymbol{m} / \boldsymbol{s}^{2} \)
A. \( 4.26 \mathrm{m} / \mathrm{s} \)
B. \( 5.12 \mathrm{m} / \mathrm{s} \)
c. \( 51.2 \mathrm{m} / \mathrm{s} \)
D. 42.6 m/s
Subject: Chemistry
The correct match forcolumn A given in
column B is
\begin{tabular}{llll} 
Sr.No & Column I & Sr.No & Column \\
1. & Nylon-6 & a. & Zeigler N catalyst \\
2. & Novolac & b. & Peroxide catalyst \\
3. & High-density polythene & c. & Condens. athighT P \\
4. & Polyacrylonitrile & d. & catalyzec an acid-ter \\
\hline
\end{tabular}
A. \( 1-d, 2-a, 3-c, 4-b \)
B. \( 1-a, 2-c, 3-b, 4-d \)
c. \( 1-c, 2-d, 3-a, 4-b \)
D. \( 1-b, 2-c, 3-a, 4-d \)
Subject: Maths
Locus of z if \( \left|z-z_{1}\right|=\left|z-z_{2}\right|, \) where \( z_{1} \)
and \( z_{2} \) are complex numbers with the
greatest and the least moduli, is
A. Line parallel to the real axis
B. Line parallel to the imaginary axis
c. Line having a positive slope
D. Line having a negative slope
Subject: Maths
\( \ln \) a series, \( \boldsymbol{T}_{\boldsymbol{n}}=\boldsymbol{2} \boldsymbol{n}+\boldsymbol{5}, \) find \( \boldsymbol{S}_{\boldsymbol{4}} \)
A .40
B. 30
c. 20
D. 10
Subject: Physics
The temperature of equal masses of three different liquids \( A, B, C \) are
\( 12^{\circ} \mathrm{C}, 19^{\circ} \mathrm{C} \) and \( 28^{\circ} \mathrm{C} \) respectively. The
temperature, when \( A \) and \( B \) are mixed,
is \( 16^{\circ} \mathrm{C} \) and when \( B \) and \( C \) are mixed,
is \( 23^{\circ} \mathrm{C} \). What will be the temperature
when \( A \) and \( C \) are mixed?
Subject: Maths
Let \( \mathbf{f}: \mathbf{R} \rightarrow\left[\mathbf{0}, \frac{\boldsymbol{\pi}}{\mathbf{2}}\right) \) be defined by \( \mathbf{f}(\mathbf{x})= \)
\( \tan ^{-1}\left(x^{2}+x+a\right) \cdot \) Then the set of
values of 'a' for which \( f \) is onto is
B. [2,1]
c. \( \left\{\frac{1}{4}\right. \)
D. \( \left[\frac{1}{4}, \infty\right) \)
Subject: Maths
The value of \( a \) for which the area
between the curves \( y^{2}=4 a x \) and \( x^{2}= \)
\( 4 a y \) is \( 1 s q . \) unit, is-
A. \( \sqrt{3} \)
B. 4
c. \( 4 \sqrt{3} \)
D. \( \frac{\sqrt{3}}{4} \)
Subject: Maths
A person is know to speak the truth 4
times out of \( 5 . \) He throws a die and
reports that it is a ace. The probability that it is actually a ace is
A. \( 1 / 3 \)
в. 2 \( / 9 \)
c. \( 4 / 9 \)
D. \( 5 / 9 \)
Subject: Physics
A constant external torque \( \tau \) acts for a
very brief period \( \Delta t \) on a rotating
system having moment of inertia \( \boldsymbol{I} \)
then
This question has multiple correct options
A. the angular momentum of the system will change by \( \tau \Delta t \)
B. the angular velocity of the system will change by \( \tau \Delta t / I \)
c. if the system was initially at rest, it will acquire rotational kinetic energy \( (\tau \Delta t)^{2} / 2 I \)
D. the kinetic energy of the system will change by \( (\tau \Delta t)^{2} / 2 I \)
Subject: Maths
Consider the function \( f(x)=8 x^{2}- \)
\( 7 x+5 \) on the interval \( [-6,6] . \) The value
of \( c \) that satisifies the conclusion of the
mean value theorem is
A \( -\frac{7}{8} \)
B. -4
\( c \cdot \frac{7}{8} \)
D. 0
Subject: Physics
How many \( 6 \mathrm{mF}, 200 \mathrm{V} \) condensers are
needed to make a condenser of \( 18 \mathrm{mF} \)
\( 600 \vee ? \)
\( A \cdot 9 \)
B. 18
\( c \cdot 3 \)
D. 27
Subject: Physics
A LASER is a source of very intense, monochromatic, and unidirectional
beam oflight. These properties of a laser light can be exploited to measure long distances.The distance of the Moon
from the Earth has been already
determined very preciselyusing a laser as a source of light. A laser light beamed at the Moon takes 2.56 s
to return after reflection at the Moons
surface. How much is the radius of the
lunar orbit around the Earth?
Subject: Biology
The figure below is the sectional view of
a part of the skull showing a sense
organ:
(i) Name the sense organ.
(ii) What are the parts labelled "m", "i"
and "s"? What do these three parts
constitute collectively?
(iii) What do you call the part shown in the form of a spiral? What is its function?
(iv) Name the part labelled "tm"? What
is its function?
TUBE
Subject: Physics
In the fig. the potentiometer wire \( A B \) of
length \( L \& \) resistance \( 9 r \) is joined to
the cell \( D \) of e.m.f. \( \varepsilon \) and internal
resistance \( r . \) The cell \( C s \) e.m.f. is \( \varepsilon / 2 \)
and its internal resistance is \( 2 r . \) The
galvanometer \( G \) will show no deflection
then find length \( A J: \)
Subject: Chemistry
\( \boldsymbol{C H}_{3}-\boldsymbol{C} \equiv \boldsymbol{C}-\boldsymbol{C H}_{3} \frac{(i) \boldsymbol{x}}{(i i) Z n / \boldsymbol{H}_{2} \boldsymbol{O}} \)
\( \boldsymbol{C H}_{3}-\underset{\boldsymbol{O}}{\boldsymbol{V}}-\underset{\boldsymbol{O}}{\boldsymbol{V}}-\boldsymbol{C H}_{\boldsymbol{3}} \)
In the above reaction \( x \) is:
A \( . H N O_{3} \)
B. \( O_{2} \)
\( c \cdot O_{3} \)
D. \( K M n O_{4} \)
Subject: Maths
Test the continuity of the function \( f \) at \( \mathbf{x}=\mathbf{0}, \) where
\[
\begin{array}{l}
\boldsymbol{f}(\boldsymbol{x})=\boldsymbol{x}^{2} \sin \left(\frac{1}{x}\right) \text { for } \boldsymbol{x} \neq \mathbf{0} \\
\quad=\mathbf{1} \text { for } \boldsymbol{x}=\mathbf{0}
\end{array}
\]
Subject: Chemistry
Assertion
lonic compounds have high melting points
Reason lonic compounds have strong electrostatic forces of attraction
between the ions. Therefore, it requires a lot of energy to overcome these forces.
A. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
B. Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion
c. Assertion is correct but Reason is incorrect
D. Both Assertion and Reason are incorrect
Subject: Physics
A force \( \overrightarrow{\boldsymbol{F}}=\boldsymbol{\alpha} \hat{\boldsymbol{i}}+\boldsymbol{3} \hat{\boldsymbol{j}}+\boldsymbol{6} \hat{\boldsymbol{k}} \) is acting at a
point \( \vec{r}=2 \hat{i}-6 j-12 \hat{k} . \) The value of \( \alpha \)
for which angular momentum about origin is conserved is
\( \mathbf{A} \cdot \mathbf{0} \)
B.
c. -1
D.
Subject: Chemistry
Elements \( A, B \) and \( C \) have respectively
1, 3 and 5 electrons in valence shell.
lonic compound is not formed from :
A. \( A \) and \( C \)
B. \( A \) and \( B \)
\( \mathbf{c} \cdot B \) and \( B \)
D. \( B \) and \( C \)
Subject: Maths
what is the value of
\( \left|\begin{array}{ccc}\boldsymbol{a} & \boldsymbol{a}^{2} & \boldsymbol{a}^{\boldsymbol{3}}-\mathbf{1} \\ \boldsymbol{b} & \boldsymbol{b}^{2} & \boldsymbol{b}^{3}-\mathbf{1} \\ \boldsymbol{c} & \boldsymbol{c}^{2} & \boldsymbol{c}^{\boldsymbol{3}}-\mathbf{1}\end{array}\right|=? \)
Subject: Chemistry
Ethylene glycol is used as an antifreeze in a cold climate. Mass of ethylene
glycol which should be added to 4 kg of water to prevent it from freezing at
\( -6^{o} C \) will be :
\( \left(K_{f} \text { for water }=1.86 \mathrm{K} \mathrm{kg} / \mathrm{mol} \) and molar \right. mass of ethylene glycol \( =62 \) g mol \( ^{-1} \) )
A . \( 304.6 \mathrm{g} \)
в. \( 800 \mathrm{g} \)
c. 204.3 g
D. \( 400.00 \mathrm{g} \)
Subject: Physics
Their common speed \( \mathbf{v} \) will be
\( \mathbf{A} \cdot \frac{q}{4} \sqrt{\frac{1}{m R \pi \varepsilon_{0}}} \)
\( \mathbf{B} \cdot q \sqrt{\frac{m R \pi \varepsilon_{0}}{4}} \)
\( \mathbf{c} \cdot 4 q \sqrt{m R \pi \varepsilon_{0}} \)
D. \( \frac{4 q}{\sqrt{m R \pi \varepsilon_{0}}} \)
Subject: Physics
A source emits sound waves of
frequency \( 1000 H z . \) The source moves
to the right with a speed of \( 32 m / s \) relative to ground. On the right, a
reflecting surface moves towards left
with a speed of \( 64 m / s \) relative to
ground. The speed of sound in air is
\( 332 m / s . \) Then
This question has multiple correct options
A. wavelength of reflected waves is nearly \( 0.3 \mathrm{m} \)
B. number of waves arriving per second which meets the reflected surface is 1320
C. speed of reflected wave is \( 268 \mathrm{m} / \mathrm{s} \)
D. wavelength of reflected waves is nearly \( 0.2 \mathrm{m} \)
Subject: Chemistry
Arrange the following alkanes in the increasing order of their boiling point:
pentane, hexane, \( 2-3- \) dimethyl \( - \)
butane
A. pentane \( <2,3 \) - dimethylbutane \( < \) hexane
B. hexane \( <2,3 \) - dimethylbutane \( < \) pentane
c. pentane \( < \)hexane\( <2,3 \) - dimethylbutane
D. none of the above
Subject: Maths
\( \vec{A}=3 \hat{i}+4 \hat{j}+2 \hat{k} \)
\( \vec{B}=6 \hat{i}-\hat{j}+3 \hat{k} \)
Find a vector parallel to \( \vec{A} \) whose magnitude is equal to that of \( \vec{B} \).
A \( \cdot \sqrt{\frac{46}{29}}(3 \hat{i}+4 \hat{j}+2 \hat{k}) \)
В. \( \sqrt{\frac{46}{29}}(6 \hat{i}-\hat{j}+3 \hat{k}) \)
c. \( \sqrt{\frac{29}{46}}(3 \hat{i}+4 \hat{j}+2 \hat{k}) \)
D. None
Subject: Maths
If \( c \) is 6 less than thrice of \( b \), which of
the following represents the relation between b and c?
A \( \cdot c=\frac{b-2}{3} \)
B. \( c=\frac{b+2}{3} \)
c. \( c=3 b-2 \)
\( \mathbf{D} \cdot c=3 b-6 \)
Subject: Maths
The value of \( \lim _{\boldsymbol{\theta} \rightarrow \mathbf{0}} \frac{\mathbf{1}-\cos \mathbf{4} \boldsymbol{\theta}}{\mathbf{1}-\cos \mathbf{6} \boldsymbol{\theta}} \) is
A. \( 9 / 4 \)
B. 3/4
\( c \cdot 4 / 9 \)
D. \( 9 / 3 \)
Subject: Maths
ff \( \left[\begin{array}{cc}\mathbf{4} & -\mathbf{3} \\ \mathbf{2} & \mathbf{1 6}\end{array}\right]=\left[\begin{array}{cc}\mathbf{4} & -\mathbf{3} \\ \mathbf{2} & \mathbf{2}^{t}\end{array}\right], \) then \( \mathbf{t}= \)
\( A \cdot 2 \)
B. 3
\( c \cdot 4 \)
\( D \)
Subject: Maths
If the roots of the equation \( x^{2}-2 m x+ \)
\( \boldsymbol{m}^{2}+\mathbf{1}=\mathbf{0} \) are imaginary, then \( \boldsymbol{m} \) lies
in
A. \( (1, \infty) \)
)
B. \( (-\infty, \infty) \)
\( c \cdot(-\infty, 1) \)
D. All of these
Subject: Physics
1 mole of an ideal gas is taken through
a cyclic process. The minimum
temperature during the cycle is \( 300 K \)
Then net exchange of heat for complete
cycle is:
Note \( :\left(\boldsymbol{T}_{\boldsymbol{A}}=\boldsymbol{6 0 0} \boldsymbol{K} ; \quad \boldsymbol{T}_{\boldsymbol{B}}=\right. \)
\( \left.\mathbf{1 2 0 0} \boldsymbol{K} ; \quad \boldsymbol{T}_{c}=\mathbf{6 0 0} \boldsymbol{K}\right) \)
\( \mathbf{A} \cdot 600 R \ln 2 \)
в. \( 300 R \ln 2 \)
c. \( -300 R \ln 2 \)
D. \( 900 R \ln 2 \)
Subject: Chemistry
Given, standard electrode potentials,
\[
\begin{array}{l}
\boldsymbol{F} \boldsymbol{e}^{2+}+\boldsymbol{2} \boldsymbol{e}^{-} \rightarrow \boldsymbol{F} \boldsymbol{e}, \boldsymbol{E}^{o}=-\mathbf{0 . 4 4 0 V} \\
\boldsymbol{F e}^{-} \rightarrow \boldsymbol{F e}, \boldsymbol{E}^{\boldsymbol{o}}=-\mathbf{0 . 0 3 6} \mathbf{v}
\end{array}
\]
The standard electrode potential \( \left(E^{o}\right) \)
for \( \boldsymbol{F} \boldsymbol{e}^{\boldsymbol{3}+}+\boldsymbol{e}^{-} \rightarrow \boldsymbol{F} \boldsymbol{e}^{2+} \) is:
A. \( +0.771 \mathrm{V} \)
В. \( -0.771 V \)
c. \( +0.404 V \)
D. \( -0.417 V \)