AkshitPareek2004/jee-question-analyzer-data huggingface dataset:
Subject: Chemistry
The products formed when chloral
hydrate is dissolved in \( N a O H \)
solution and then distilled?
A \( \cdot C H_{2} C l_{2} \) and \( N a C l \)
в. \( C H_{3} C l \) and \( C H_{3} C O O N a \)
c. \( C H C l_{3}, H C O O N a \) and \( H_{2} O \)
D. \( C_{2} H_{5} C l \) and \( C H_{3} C O O N a \)
Subject: Physics
A ballet dancer spins with angular velocity of 2.8 rev/s with her arms stretched out and moment of inertia
about the vertical axis. She then
retracts her arms and moment of
inertial becomes 0.71 about the same
axis. Find the new angular velocity
A. 3.2 rev / s
B. 4 rev/s
c. 4.8 rev/s
D. 5.6 rev / s
Subject: Chemistry
A storage battery contains a solution of
\( H_{2} S O_{4} 38 \% \) by weight. What will be the
Vant Hoff factor if the \( \Delta T_{f(e x p e r i m e n t)} \) in \( \mathbf{2 9 . 0 8} .\left[\text {Given } \boldsymbol{K}_{\mathbf{1}}=\mathbf{1 . 8 6 m o l}^{-\mathbf{1}} \mathbf{K} \boldsymbol{g}\right] \)
Subject: Biology
Gaurav was participating in a marathon. Just when he was nearing the finishing line. He started running even
faster. However, when he was about to reach the finishing line, he suffered a severe muscle cramp in his leg. He could not run and affected the race. Subhash, his friend immediately reached out to him and massaged the affected area, relieving some pain.
(a) Which process in the human body provides most of the energy to humans for activities such as running of marathon?
(b) Which substance gets accumulated in the leg muscles of Gaurav., that cause muscle cramps?
(c) What values were shown by Subhash in this situation? (write any one value)
Subject: Physics
In a transformer, the number of turns of
primary coil and secondary coil are 5 and 4 respectively. If \( 220 \mathrm{V} \) is applied on the primary coil, then the ratio
of primary current to the secondary current is :
A .4: 5
B. 5: 4
\( c \cdot 5: 9 \)
D. 9 : 5
Subject: Maths
If \( \tan \theta=\frac{1}{\sqrt{2}}, \) find the value of \( \frac{\operatorname{cosec}^{2} \theta-\sec ^{2} \theta}{\operatorname{cosec}^{2} \theta+\cot ^{2} \theta} \)
A \( \cdot \frac{1}{10} \)
в. \( \frac{2}{10} \)
\( c \cdot \frac{3}{10} \)
D. \( \frac{4}{10} \)
Subject: Physics
A system undergoes a cyclic process in
which it absorbs \( Q_{1} \) heat and gives out
\( Q_{2} \) heat. The efficiency of the process is
\( \eta \) and the work done is \( W \)
This question has multiple correct options
A \( . W=Q_{1}-Q_{2} \)
в. \( \eta=\frac{W}{Q_{1}} \)
c. \( \eta=\frac{Q_{2}}{Q_{1}} \)
D. \( \eta=1-\frac{Q_{2}}{Q_{1}} \)
Subject: Maths
\( P Q R S \) is a parallelogram \( P M \) is the
altitude on base \( S R . S N \) is the altitude
on base \( Q R \) If \( S R=8.2 \mathrm{m}, P M=4.8 \)
\( \mathrm{m} \) and \( S N=6 \mathrm{m} \). Find \( P S \)
Subject: Chemistry
Fluorobenzene \( C_{6} H_{5} F \) can be
synthesized in the laboratory:
A. by heating phenol with \( H F \) and \( K F \)
B. from aniline by diazotization followed by heating the diazonium salt with \( H B F_{4} \)
C. by direct fluorination of benzene with \( F_{2} \) gas
D. by reacting bromobenzene with \( N a F \) solution
Subject: Chemistry
The freezing point of benzene decrease
by \( 0.45^{\circ} \mathrm{C} \) when \( 0.2 g \) of acetic acid is added to \( 20 g \) of benzene. If acetic acid associates to form a dimer in benzene, percentage association of acetic acid in
benzene will be: \( \left(K_{f} \text { for benzene }=\right. \)
\( \left.\mathbf{5 . 1 2} \boldsymbol{K} \boldsymbol{k g} \boldsymbol{m o l}^{-1}\right) \)
A. \( 64.6 \% \)
B. \( 80.4 \% \)
c. \( 74.6 \% \)
D. \( 94.6 \% \)
Subject: Maths
In a family there are 10 adults and 6 children. In how many ways can they be
seated around table so that all the
children do not sit together?
A . 16
B. \( 15 ! \)
c. \( 16 !-(11 ! \times 6 !) \)
D. \( 15 !-(10 ! \times 6 !) \)
Subject: Maths
If
\( a, b, c \) are distinct non-zero real numbers having the same sign, then prove that \( \cot ^{-1}\left(\frac{a b+1}{a-b}\right)+\cot ^{-1}\left(\frac{b c+1}{b-c}\right)+ \)
\( \cot ^{-1}\left(\frac{c a+1}{c-a}\right)=\pi \quad o r \)
Subject: Biology
R.Q. is ratio of
\( \mathbf{A} \cdot \mathrm{CO}_{2} \) produced to substrate consumed
B. \( \mathrm{CO}_{2} \) produced to \( \mathrm{O}_{2} \) consumed
c. Oxygen consumed to water produced
D. Oxygen consumed to \( \mathrm{CO}_{2} \) produced.
Subject: Physics
Prove that \( \frac{\boldsymbol{n}_{2}}{\boldsymbol{v}}-\frac{\boldsymbol{n}_{1}}{\boldsymbol{u}}=\frac{\boldsymbol{n}_{2}-\boldsymbol{n}_{1}}{\boldsymbol{R}} \)
When refraction occurs of a convex
spherical refracting surface and the ray travels from rearer to denser medium
Subject: Maths
If \( A \) and \( B \) are any two events such that
\( \boldsymbol{P}(\boldsymbol{A})+\boldsymbol{P}(\boldsymbol{B})-\boldsymbol{P}(\text {Aand} B)=\boldsymbol{P}(\boldsymbol{A}) \)
then
\( \mathbf{A} \cdot P(B \mid A)=1 \)
B . \( P(A \mid B)=1 \)
c. \( P(B \mid A)=0 \)
D \cdot \( P(A \mid B)=0 \)
Subject: Chemistry
What will be the volume of \( O_{2} \) at N.T.P
liberated by 5 A current flowing for 193 s through acidulated water?
\( \mathbf{A} \cdot 56 \mathrm{m} \)
B. \( 112 \mathrm{ml} \)
c. \( 158 \mathrm{ml} \)
D. 965 ml
Subject: Chemistry
Which of the following statement(s) is/are correct?
I. Natural starch contains \( 10-20 \% \)
amylopectin and \( 90-80 \% \) amylose.
II. Amylose is insoluble in water.
III. Amylopectin is soluble in water.
V. Starch is white amorphous powder found in roots and seeds of plants.
A. IV only
B. II only
c. II and III
D. I and IV
Subject: Maths
Tangents drawn from the point \( \boldsymbol{P}(\mathbf{1}, \boldsymbol{8}) \)
to the circle \( x^{2}+y^{2}-6 x-4 y-11= \)
0 touch the circle at the point \( A \) and \( B \)
The equation of the circumcentre of the
\( \triangle \boldsymbol{P} \boldsymbol{A} \boldsymbol{B} \) is
A \( \cdot x^{2}+y^{2}+4 x-6 y+19=0 \)
B . \( x^{2}+y^{2}-4 x-10 y+19=0 \)
c. \( x^{2}+y^{2}-2 x+6 y-29=0 \)
D. \( x^{2}+y^{2}+6 x-4 y+19=0 \)
Subject: Biology
Read the following four (A-D) statements:
(a) The cranial capacity of Homo habilis was \( 650-800 \) c.c
(b) The cranial capacity of Homo erectus was about \( 900 \mathrm{c.c} \)
(c) Around two mya Australopithecus probably lived in east african grasslands.
(d) During the ice age, Homo sapiens
arose.
How many of the above statements are
not incorrect:
A. Four
B. Three
\( c . \) Two
D. one
Subject: Maths
The side of a square sheet is increasing at the rate of \( 4 \mathrm{cm} \) per minute. The rate by which the area increasing when the side is \( 8 \mathrm{cm} \) long is-
A \( \cdot 60 \mathrm{cm}^{2} / \mathrm{sec} \)
B. \( 66 \mathrm{cm}^{2} / \mathrm{sec} \)
\( \mathrm{c} \cdot 62 \mathrm{cm}^{2} / \mathrm{sec} \)
D. \( 64 \mathrm{cm}^{2} / \mathrm{sec} \)
Subject: Chemistry
STATEMENT-1: PMMA (Polymethyl methacrylate) is used for making lenses and light covers. STATEMENT-2:It has excellent light transmission properties.
A. STATEMENT-1 is True, STATEMENT-2 is True STATEMENT-2 is a correct explanation for STATEMENT
B. STATEMENT-1 is True, STATEMENT-2 is True STATEMENT-2 is NOT a correct explanation for STATEMENT-1
c. STATEMENT-1 is True, STATEMENT-2 is False
D. STATEMENT-1 is False, STATEMENT-2 is True
Subject: Chemistry
The potential energy of the electron
present in the ground state of \( L i^{+2} \) ion is represented by:
A \( \cdot \frac{+3 e^{2}}{4 \pi \varepsilon_{0} r} \)
в. \( \frac{-3 e}{4 \pi \varepsilon_{0} r} \)
c. \( \frac{-3 e^{2}}{4 \pi \varepsilon_{0} r} \)
D. \( \frac{-9 e^{2}}{4 \pi \varepsilon_{0} r} \)
Subject: Maths
A function \( f \) has domain [-1,2] and range \( [0,1] . \) The domain and range respectively of the function \( g \) defined by \( \boldsymbol{g}(\boldsymbol{x})=\mathbf{1}-\boldsymbol{f}(\boldsymbol{x}+\mathbf{1}) \) is?
A \( \cdot[-1,1] ;[-1,0] \)
B \cdot [-2,1]\( ;[0,1] \)
c. [0,2]\( ;[-1,0] \)
D \cdot [1,3]\( ;[-1,0] \)
Subject: Chemistry
Which process of purification is represented by the following scheme? \( \underset{i m p u r e}{\boldsymbol{T} \boldsymbol{i}}+\boldsymbol{2} \boldsymbol{I}_{2} \stackrel{250^{\circ} C}{\longrightarrow} \boldsymbol{T} \boldsymbol{i} \boldsymbol{I}_{4} \frac{1400^{\circ} \boldsymbol{C}}{\longrightarrow} \boldsymbol{T} \boldsymbol{i}+ \)
\( 2 I_{2} \)
A. Cupellation
B. zone refiningg
c. van-Arkel process
D. Poling
Subject: Maths
\( \operatorname{Let} f(x)=\left\{\begin{array}{ll}\frac{1-\cos 2 x}{2 x^{2}} & : x \neq 0 \\ k & : x=0\end{array}\right. \)
Then the value of \( k \) for which, \( f(x) \) will
be continuous at \( x=0 \) is
A . 0
B.
\( c \cdot 2 \)
D. none of these
Subject: Maths
In the figure, line \( A B \) is a tangent to
both the circles touching at \( A \) and \( B \)
\( \boldsymbol{O} \boldsymbol{A}=\mathbf{2 9}, \boldsymbol{B P}=\mathbf{1 8}, \) and \( \boldsymbol{O P}=\boldsymbol{6 1 .} \) The
length of \( \boldsymbol{A B} \) is
\( A \cdot 61 c m \)
B. \( 60 \mathrm{cm} \)
c. \( 47 \mathrm{cm} \)
D. \( 11 c m \)
Subject: Maths
The marks obtained by the students of
class 6 are shown:
\( \mathbf{0}-\mathbf{1 0} \quad \mathbf{1 0}-\mathbf{2 0} \quad \mathbf{2 0}-\mathbf{3 0} \) \( \mathbf{3 0}-\mathbf{4 0} \)
15
32 55
Find the mean of the data.
Subject: Physics
Assuming the earth to be a uniform
sphere of radius \( 6400 \mathrm{km} \) and density \( 5.5 \mathrm{g} / \mathrm{c} . \mathrm{c}, \) find the value of \( \mathrm{g} \) on its
surface. \( G=6.66 \times 10^{-11} N m^{2} k g^{-2} \)
\( \mathbf{A} \cdot=3.82 m s^{-2} \)
В. \( =9.82 m s^{-2} \)
\( \mathbf{c} .=19.82 m s^{-2} \)
\( \mathrm{D} \cdot=2 m s^{-2} \)
Subject: Biology
Assertion
Hb reacts with \( O_{2} \) in a way that is
remarkable in comparison to other
chemical reactions.
Reason
Each molecules of iron in Hb can take
two atoms of \( O_{2} \) at its saturation point.
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 physical quantity \( x \) is calculated from
the relation \( \boldsymbol{x}=\boldsymbol{a}^{3} \boldsymbol{b}^{2} / \sqrt{\boldsymbol{c} \boldsymbol{d}} \). Calculate
percentage error in \( x, \) if \( a, b, c \) and \( d \) are measured respectively with an error of \( 1 \%, 3 \%, 4 \% \) and \( 2 \% \)
A. \( 12 \% \)
в. \( 22 \% \)
c. \( 2 \% \)
D. \( 0.2 \% \)
Subject: Biology
Read the passage and answer the
following question.

Shigella is a bacterium that is very closely related to E. coli but is incapable of fermenting lactose (lactose negative). A gene for resistance to the
antibiotic ampicillin (amR) was inserted in between two of the
structural genes of the lac operon and then inserted into Shigella.
The effect of this insertion would be
A. The cell would immediately be resistant to ampicillin.
B. The cell would be resistant to ampicillin only in the presence of tryptophan
c. The cell would produce the enzyme \( \beta \) -lactamase as soon as it started to grow exponentially.
D. The cell would spontaneously utilize DNA-editing enzymes to restore the original genotye.
E. The cell would be resistant to ampicillin only in the presence of lactose.
Subject: Physics
An infinite nonconducting sheet has a
surface charge density \( \boldsymbol{\sigma}= \)
\( 0.10 \mu C / m^{2} \) on one side. How far apart
are equipotential surfaces whose potentials differ by \( 50 V ? \)
A. \( 8.8 \mathrm{mm} \)
B. \( 8.8 \mathrm{cm} \)
\( c .8 .8 m \)
D. \( 8.8 \mu m \)
Subject: Physics
Mass of moon is \( 7.34 \times 10^{22} k g \). If the
acceleration due to gravity on the moon is \( 1.4 m s^{-2}, \) the radius of the moon is:
\( \left[G=6.667 \times 10^{-11} N m^{2} k g^{-2}\right] \)
A \( \cdot 0.56 \times 10^{4} m \)
В. \( 1.87 \times 10^{6} \mathrm{m} \)
c. \( 1.92 \times 10^{6} m \)
D. \( 1.01 \times 10^{8} \mathrm{m} \)
Subject: Chemistry
Assertion
faraday is the charge that liberates 1 eq. of metal at cathode.
Reason
Passsage of 1 faraday charge through
aq. \( \mathrm{MgCl}_{2} \) liberates 12 g Mg at cathode.
A. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
B. Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion
c. Assertion is correct but Reason is incorrect
D. Assertion is incorrect but Reason is correct
Subject: Physics
A ball is let fall from a height \( h_{0} \). There are \( n \) collisions with the earth. If the
velocity of rebound after n collision is
\( u_{n} \) and the ball rises to a height \( h_{n}, \) then coefficient of restitution e is given by-
\( ^{\mathbf{A}} \cdot e^{n}=\sqrt{\frac{h_{n}}{h_{0}}} \)
B. \( e^{n}=\sqrt{\frac{h_{0}}{h_{n}}} \)
\( ^{\mathrm{c}} \cdot_{n e}=\sqrt{\frac{h_{n}}{h_{0}}} \)
D. \( \sqrt{n e}=\sqrt{\frac{h_{n}}{h_{0}}} \)
Subject: Chemistry
Litmus paper is turned red by the action
of:
\( \mathbf{A} \cdot C H_{3} C H_{2} C H_{2} O H \)
B \( \cdot C H_{3} C H(B r) C H(B r) C H_{3} \)
\( \mathbf{c} \cdot C H_{3} C H_{2} C H(B r) C H_{3} \)
D. \( C H_{3} C H_{2} C H_{2} C O O H \)
\( \mathbf{E} \cdot C H_{3} C H_{2} C H_{2} C H_{3} \)
Subject: Physics
Two simple harmonic motions are
represented by the equations.
\( \boldsymbol{y}_{1}=\mathbf{1 0} \sin \frac{\pi}{4}(\mathbf{1 2} \boldsymbol{t}+\boldsymbol{I}), \boldsymbol{y}_{2}= \)
\( \mathbf{5}(\sin 3 p t+\sqrt{3} \cos 3 p t) \)
The ratio of their amplitudes is
A . 1: 1
B. 1: 2
\( c .3: 2 \)
D. 2: 3
Subject: Physics
Two equal charges are separated by a
distance \( d . A \) third charge placed on a
perpendicular bisector at \( x \) distance will experience maximum coulomb force when :
A \( \cdot x=\frac{d}{\sqrt{2}} \)
B. \( x=\frac{d}{2} \)
c. \( _{x}=\frac{d}{2 \sqrt{2}} \)
D. \( _{x}=\frac{d}{2 \sqrt{3}} \)
Subject: Chemistry
\( X C l_{2}(\text { excess })+Y C l_{2} \rightarrow X C l_{4}+Y \downarrow \)
\( \boldsymbol{Y} \boldsymbol{O} \frac{\Delta}{>400^{0}} \frac{1}{2} \boldsymbol{O}_{2}+\boldsymbol{Y} \)
Ore of \( Y \) would be :
A. Siderite
B. Cinnabar
c. Malachite
D. Hornsilver
Subject: Physics
A disc is freely rotating with an angular speed co on a smooth horizontal plane. It is hooked at a rigid peg \( P \) and rotates about P without bouncing. Its angular
speed after the impact will be equal to:
\( A \)
\( B \cdot \frac{\omega}{3} \)
\( c \cdot \frac{w}{2} \)
D. None of these
Subject: Maths
\( A B \) and \( C D \) are two vertical poles of
height \( 6 m \) and \( 11 m \) respectively. If the
distance between their feet is \( 12 m, \) find
the distance between their tops.
\( \mathbf{A} \cdot 13 m \)
B. \( 5 m \)
\( c .11 m \)
D. \( 12 m \)
Subject: Physics
Two circular coils \( X \) and \( Y \)
having radii \( \mathrm{R} \) and \( \mathrm{R} / 2 \) respectively are placed in horizontal plane with their centres coinciding with each other. Coil X has current I flowing through it in the clockwise sense. What must be the
current in the coil \( Y \) to make the total
magnetic field at the centre of two coils zero?
Subject: Maths
Evaluate the following:
\( 0.8 \times \frac{\frac{7}{12}}{\frac{5}{24}} \)
A \( \cdot_{2} \frac{6}{25} \)
в. \( _{3} \frac{6}{25} \)
c. \( \frac{6}{25} \)
D. \( \frac{26}{25} \)
Subject: Chemistry
Based on solute-solvent interactions,
arrange the following in order of increasing solubility in n-octane and explain.
Cyclohexane, \( \boldsymbol{K} \boldsymbol{C l}, \boldsymbol{C H}_{3} \boldsymbol{O H}, \boldsymbol{C H}_{3} \boldsymbol{C N} \)
Subject: Physics
A point charge q of mass \( \mathrm{m} \) is located at the center of a ring having radius \( \mathrm{R} \) and charge Q.When it is displaced slightly, the point charge accelerates along the x-axis to infinity, the ultimate speed of
the point charge:-
A \( \cdot \sqrt{\frac{2 K Q q}{m R}} \)
в. \( \sqrt{\frac{K Q q}{m R}} \)
c. \( \sqrt{\frac{K Q q}{2 m R}} \)
D. zero
Subject: Maths
The solution of the equation \( \frac{\boldsymbol{d}^{2} \boldsymbol{y}}{\boldsymbol{d} \boldsymbol{x}^{2}}= \)
\( e^{x}+e^{-x} \) is -
Note : (where c \( \& \) d are arbitrary constants in the given options)
A \( \cdot y=e^{x}-e^{-x}+c x+d \)
B . \( y=e^{x}+e^{-x}+c x+d \)
c. \( y=-e^{x}+e^{-x}+c x+d \)
D. None of these
Subject: Maths
If \( 1+a+a^{2}+a^{3}+\dots \dots+a^{n}=(1+ \)
\( a)\left(1+a^{2}\right)\left(1+a^{4}\right) \) then \( n \) is given by
\( \mathbf{A} \cdot \mathbf{3} \)
B. 5
\( c \cdot 7 \)
D.
Subject: Physics
In the method using the transformers, assume that the ratio of the number of
turns in the primary to that in the secondary in the step-up transformers
is \( 1: 10 . \) If the power to the consumers
has to be supplied at \( 200 V, \) the ratio of the number of turns in primary to that in the secondary in the step-down transformer is
B. 150: 1
c. 100: 1
D. 50: 1
Subject: Chemistry
The electron energy in \( H \) atom is given by \( \frac{-21.7 \times 10^{-12}}{n^{2}} \) erg. The longest wavelength (in \( \mathrm{cm} \) ) of light that can be used to cause the removal of an
electron from \( n=2 \) orbit is:
A. \( 3.66 \times 10^{-5} \)
B . \( 3.88 \times 10^{-5} \)
c. \( 3.66 \times 10^{-6} \)
D. \( 3.88 \times 10^{-6} \)
Subject: Physics
The figure shows a circuit containing a
coil wound over a long and hollow thin
tube. Copy the diagram and show the polarity required by each face of the
solenoid.
A. Current enters the solenoid from face \( B \), hence this end of solenoid is south pole and the face \( A \) is north pole
B. Current enters the solenoid from face \( B \), hence this
end of solenoid is north pole and the face \( A \) is south pole.
c. current enters the solenoid from face \( A \), hence this
end of solenoid is south pole and the face \( B \) is north pole
D. None of these
Subject: Maths
Suppose that \( \boldsymbol{f} \) is a differentiable
function with the property that
\( \boldsymbol{f}(\boldsymbol{x}+\boldsymbol{y})=\boldsymbol{f}(\boldsymbol{x})+\boldsymbol{f}(\boldsymbol{y})+\boldsymbol{x} \boldsymbol{y} \) and
\( \lim _{h \rightarrow 0} \frac{1}{h} f(h)=3 \) then
A. \( f \) is a linear function
B \( \cdot f(x)=3 x+x^{2} \)
c. \( f(x)=3 x+\frac{x^{2}}{2} \)
D. None of these
Subject: Maths
Let ABCD be a parallelogram. The diagonals bisect in E.
(i) If \( A B=6 \mathrm{cm} \) and \( A D=4 \mathrm{cm}, \) find \( C D \)
and BC.
(ii) If \( \mathrm{DE}=5 \mathrm{cm} \) and \( \mathrm{AE}=7 \mathrm{cm}, \) find \( \mathrm{BD} \)
and AC.
(iii) If \( \angle D A B=72^{\circ}, \) find the measure
of \( \angle C B A \)
\( (\text { iv ) If } \boldsymbol{A} \boldsymbol{D}=(\boldsymbol{x}+\boldsymbol{2} \boldsymbol{y}), \boldsymbol{B} \boldsymbol{C}=(\boldsymbol{2} \boldsymbol{x}+ \)
\( \mathbf{3}), \boldsymbol{D} \boldsymbol{C}=(\boldsymbol{x}+\boldsymbol{7}) \) and \( \boldsymbol{A} \boldsymbol{B}=(\boldsymbol{3} \boldsymbol{y}+\boldsymbol{2}) \)
find \( A B \) and \( B C \).
Subject: Chemistry
The speed of electron revolving in the 4
th orbit of a hydrogen like atom or ion is \( 1094 \mathrm{km} / \mathrm{s} . \) The atom or ions is:
A. \( H \)
в. \( H e^{+} \)
\( \mathrm{c} \cdot L i^{2} \)
\( D \cdot B e^{3} \)
Subject: Chemistry
\( \boldsymbol{C a}+\boldsymbol{C}_{2} \rightarrow \boldsymbol{C a} \boldsymbol{C}_{2}+\boldsymbol{N}_{2} \rightarrow \boldsymbol{A} \)
Compound \( (A) \) is used as a/an:
A. fertillizer
B. dehydrating agent
c. oxidising agent
D. reducing agent
Subject: Chemistry
Some properties of sulphuric acid are listed below. Choose the role played by sulphuric acid as \( A, B, C \) or \( D \) which is
responsible for the reaction (i) to (v) Some role/s may be repeated:
\( Z n+2 H_{2} S O_{4}(\text {conc.}) \rightarrow Z n S O_{4}+ \)
\( \boldsymbol{S O}_{2}+\boldsymbol{2} \boldsymbol{H}_{2} \boldsymbol{O} \)
A . Dilute acid
B. Dehydrating agent
c. Non-volatile acid
D. Oxidising agent
Subject: Chemistry
The solution which has the highest boiling point temperature is:
\( \begin{array}{lll}\text { A. } 0.1 & M & M g C l_{2}\end{array} \)
\( \begin{array}{lll}\text { В. } 0.1 & M & H C l O_{4}\end{array} \)
\( \begin{array}{llll}\text { c. } 0.1 & M & N H_{4} O H\end{array} \)
\( \begin{array}{lll}\text { D. } 0.1 & M & \text { KOH }\end{array} \)
\( \begin{array}{lll}\text { E. } 0.1 & M & L i N O_{3}\end{array} \)
Subject: Chemistry
Which of the following terms in the
Arrhenius equation, \( \boldsymbol{k}=\boldsymbol{A} \boldsymbol{e}^{-\boldsymbol{E}_{a} /(\boldsymbol{R} \boldsymbol{T})}, \) is
not labeled correctly?
\( \mathbf{A} \cdot E_{A} \) is the activation energy of the reaction
B. T refers to temperature
C. \( k \) refers to the rate constant of the reaction
D. R refers to electrical resistance of the reaction mixture
E. e is Euler's number, the natural base of the exponential function with a value of approximately 2.718281828
Subject: Chemistry
Which is the monomer of Neoprene in
the following?
A \( \cdot C H_{2}=C H-C=C H \)
B. \( C H_{2}=C\left(C H_{3}\right)-C H=C H_{2} \)
c. \( C H_{2}=C(C l)-C H=C H_{2} \)
D. \( C H_{2}=C H-C H=C H_{2} \)
Subject: Maths
\( \left|\begin{array}{ccc}(\boldsymbol{b}+\boldsymbol{c})^{2} & \boldsymbol{a}^{2} & \boldsymbol{a}^{2} \\ \boldsymbol{b}^{2} & (\boldsymbol{c}+\boldsymbol{a})^{2} & \boldsymbol{b}^{2} \\ \boldsymbol{c}^{2} & \boldsymbol{c}^{2} & (\boldsymbol{a}+\boldsymbol{b})^{2}\end{array}\right| \) is equal
to
\( \mathbf{A} \cdot a b c(a+b+c)^{2} \)
B \( \cdot 2 a b c(a+b+c)^{2} \)
\( \mathbf{c} \cdot 2 a b c(a+b+c)^{3} \)
\( \mathbf{D} \cdot 2 a b c(a+b+c) \)
Subject: Maths
If \( \boldsymbol{x}^{\boldsymbol{a}} \boldsymbol{y}^{\boldsymbol{b}}=\boldsymbol{e}^{\boldsymbol{m}}, \boldsymbol{x}^{\boldsymbol{c}} \boldsymbol{y}^{\boldsymbol{d}}=\boldsymbol{e}^{\boldsymbol{n}}, \Delta_{\mathbf{1}}= \)
\( \left|\begin{array}{ll}\boldsymbol{m} & \boldsymbol{b} \\ \boldsymbol{n} & \boldsymbol{d}\end{array}\right|, \triangle_{2}=\left|\begin{array}{ll}\boldsymbol{a} & \boldsymbol{m} \\ \boldsymbol{c} & \boldsymbol{n}\end{array}\right| \) and \( \Delta_{\boldsymbol{3}}=\left|\begin{array}{ll}\boldsymbol{a} & \boldsymbol{b} \\ \boldsymbol{c} & \boldsymbol{d}\end{array}\right| \)
the value of \( x \) and \( y \) are respectively
A \( \cdot \frac{\Delta_{1}}{\Delta_{3}} \) and \( \frac{\Delta_{2}}{\Delta_{3}} \)
B. \( \frac{\Delta_{2}}{\Delta_{1}} \) and \( \frac{\Delta_{3}}{\Delta_{1}} \)
\( ^{\mathbf{c}} \cdot \log \left(\frac{\Delta_{1}}{\Delta_{3}}\right) a n d \log \left(\frac{\Delta_{2}}{\Delta_{3}}\right) \)
\( \mathbf{D} \cdot e^{\Delta_{1} / \Delta_{3}} \) and \( e^{\Delta_{2} / \Delta_{3}} \)
Subject: Maths
\( A \) bag \( X \) contains 4 white balls and 2
black balls, while another bag \( \boldsymbol{Y} \)
contains 3 white balls and 3 black balls
Two balls are drawn (without
replacement) at random from one of the bags and were found to be one white
and one black. Find the probability that the balls were drawn from bag \( Y \)
Subject: Maths
Find the height of a cylinder that has a diameter of 10 feet and a surface area
of \( 220 f t^{2} . \) Round your answer to the nearest whole number.
(use \( \pi=22 / 7 \) ).
\( \mathbf{A} \cdot 0.1 \mathrm{ft} \)
в. 3 ft
\( c \cdot 2 f t \)
D. \( 1 \mathrm{ft} \)
Subject: Physics
A sphere \( A \) moving with speed \( u \) and
rotating with an angular velocity \( \omega \)
makes a head-on elastic collision with
an identical stationary sphere \( \boldsymbol{B} \). There
is no friction between the surfaces of \( \boldsymbol{A} \)
and \( B . \) Choose the correct
alternative(s). Discard gravity.
This question has multiple correct options
A. \( A \) will stop moving but continue to rotate with an angular velocity \( \omega \)
B. \( A \) will come to rest and stop rotating
C. \( B \) will move with speed \( u \) without rotating
D. \( B \) will move with speed \( u \) and rotate with an angular velocity \( \omega \)
Subject: Physics
A light emitting diode (LED) has a voltage drop of \( 2 \mathrm{V} \) across it and passes a current of 10 mA. When it operates with a \( 6 \mathrm{V} \) battery through a limiting resistor \( R, \) the value of \( R \) is
A . \( 200 \Omega \)
B. 400 \( \Omega \)
c. \( 40 k \Omega \)
D. 4 \( k \Omega \)
Subject: Maths
\( \left(1+\tan ^{2} \theta\right) \cdot \sin ^{2} \theta= \)
\( \mathbf{A} \cdot \sin ^{2} \theta \)
B \( \cdot \cos ^{2} \theta \)
\( \mathbf{c} \cdot \tan ^{2} \theta \)
\( \mathbf{D} \cdot \cot ^{2} \theta \)