AkshitPareek2004/jee-question-analyzer-data huggingface dataset:
Subject: Maths
\( \mathbf{1 0 0}^{2}-\mathbf{9 9}^{\mathbf{2}}+\mathbf{9 8}^{\mathbf{2}}-\mathbf{9 7}^{\mathbf{2}}+\mathbf{9 6}^{\mathbf{2}}+\mathbf{9 5}^{\mathbf{2}}+ \)
\( \ldots .=\mathbf{S} \) find \( \boldsymbol{S}=? \)
Subject: Maths
\( f\left(\begin{array}{lll}1 & 0 & 1 \\ 0 & 1 & 2 \\ 0 & 0 & 4\end{array}\right], \) then show that
\[
|\mathbf{3} \boldsymbol{A}|=\mathbf{2 7}|\boldsymbol{A}|
\]
Subject: Maths
Equations \( 2 \sin ^{-1} x+3 \sin ^{-1} y=\frac{5 \pi}{2} \)
and \( y=k x-5 \) hold simultaneously
when k equals
\( A \cdot 2 \)
B. 4
\( c \cdot 6 \)
D. no such k exists
Subject: Chemistry
Ammonia and oxygen reacts at higher
temperature as
\( 4 N H_{3}(g)+5 O_{2}(g) \rightarrow 4 N O(g)+ \)
\( \mathbf{6} \boldsymbol{H}_{\mathbf{2}} \boldsymbol{O}(\boldsymbol{g}) \)
In an experiment, the concentration of NO increases by \( 1.08 * \) \( 10^{-2} \) mol \( \operatorname{litr} e^{-1} \) in 3 seconds.
Calculate,
(1) rate of reaction
(2) rate of disappearance of ammonia
(3) rate of formation of water
Subject: Chemistry
A naturally occuring sample of copper consists of \( 69.2 \% \) of \( ^{63} \mathrm{Cu} \) and \( 30.8 \% \) of
\( ^{65} \mathrm{Cu} . \) The relative mass of \( ^{63} \mathrm{Cu} \) is 62.93
and that of \( ^{65} \mathrm{Cu} \) is \( 64.93 . \) Find the
atomic mass of a naturally occuring sample of copper.
A. 64.348
B. 63.546
c. 64.12
D. none of these
Subject: Chemistry
At what \( \frac{\left[\boldsymbol{B r}^{+}\right]}{\sqrt{\left[\boldsymbol{C O}_{3}^{2-}\right]}} \) does the following
cell have its reaction at equilibrium? \( \boldsymbol{A} \boldsymbol{g}(\boldsymbol{s})\left|\boldsymbol{A} \boldsymbol{g}_{2} \boldsymbol{C} \boldsymbol{O}_{3}(\boldsymbol{s})\right| \boldsymbol{N} \boldsymbol{a}_{2} \boldsymbol{C O}_{3}(\boldsymbol{a} \boldsymbol{q}) \| \boldsymbol{K} \boldsymbol{B} \boldsymbol{r} \)
\( \boldsymbol{K}_{s p}=\mathbf{8} \times \mathbf{1 0}^{-12} \) for \( \boldsymbol{A} \boldsymbol{g}_{2} \boldsymbol{C} \boldsymbol{O}_{2} \) and
\( \boldsymbol{K}_{s p}=\mathbf{4} \times \mathbf{1 0}^{-13} \) for AgBr.
A. \( \sqrt{1} \times 10^{-7} \)
B . \( \sqrt{2} \times 10^{-7} \)
c. \( \sqrt{3} \times 10^{-7} \)
D. \( \sqrt{4} \times 10^{-7} \)
Subject: Maths
Write four solutions for the
following equation.
\( x=4 y \)
\( A \ldots(0,1),(4,1) ;(8,2) \) and (12,3)
\( B \ldots(0,0),(4,2) ;(8,2) \) and (12,3)
\( (-\infty, 0),(4,1) ;(8,3) \) and (12,3)
\( D \ldots(0,0),(4,1) ;(8,2) \) and (12,3)
Subject: Chemistry
Write down correct order of covalent
character of the following.
\( \mathbf{a} \cdot \mathbf{L i C I}, \mathbf{N a C l}, \mathbf{R b C l}, \mathbf{K C} \)
b. \( \mathrm{NaCl}, \mathrm{Mg} C l_{2}, \mathrm{Si} C l_{4} \)
c. \( \operatorname{sn} C l_{2}, \operatorname{sn} C l 4 \)
Subject: Maths
Assertion
Let \( p<0 \) and \( \alpha_{1}, \alpha_{2}, \dots, \alpha_{9} \) be the nine
roots of \( \boldsymbol{x}^{\mathbf{9}}=\boldsymbol{p}, \) then
\( \boldsymbol{\Delta}=\left|\begin{array}{lll}\boldsymbol{\alpha}_{1} & \boldsymbol{\alpha}_{2} & \boldsymbol{\alpha}_{3} \\ \boldsymbol{\alpha}_{4} & \boldsymbol{\alpha}_{5} & \boldsymbol{\alpha}_{6} \\ \boldsymbol{\alpha}_{4} & \boldsymbol{\alpha}_{8} & \boldsymbol{\alpha}_{9}\end{array}\right|=0 \)
Reason
If two rows of a determinant are
identical, then determinant equals zero
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
The upper end of wire of radius \( 4 m m \)
and length \( 100 \mathrm{cm} \) is clamped and its
lower end is twisted through an angle of
\( 30^{0} . \) The angle of shear is:
A \( \cdot 18^{\circ} \)
B. 36
\( c \cdot 0.12 \)
D. 0.36
Subject: Maths
If \( x^{2}+y^{2}+10=(2 \sqrt{2 x}+4 \sqrt{2} y) \) then
the value of \( (x+y) \) is
A \( .4 \sqrt{2} \)
B. \( 3 \sqrt{2} \)
\( c \cdot 6 \sqrt{2} \)
D. \( 9 \sqrt{2} \)
Subject: Chemistry
The hybridised state of \( C u \) in
\( \left[\boldsymbol{C u}\left(\boldsymbol{N} \boldsymbol{H}_{3}\right)_{4}\right]^{2+} \) is:
\( \mathbf{A} \cdot s p \)
B \( \cdot s p^{2} \)
\( c \cdot s p^{3} \)
D. \( d s p^{2} \)
Subject: Maths
In the coordinate plane, a circle has center (2,-3) and passes through the point \( (5,0), \) What is the area of the circle?
\( A \cdot 3 \pi \)
B. \( 3 \sqrt{2} \pi \)
c. \( 3 \sqrt{3} \pi \)
D. \( 9 \pi \)
E . \( 18 \pi \)
Subject: Chemistry
What weights of \( P_{4} O_{6} \) and \( P_{4} O_{10} \) will be produced by the combustion of 31 g of
\( P_{4} \) with \( 32 g \) of oxygen leaving no \( P_{4} \) and
\( O_{2} ? \)
A. 2.75 g, 219.5 \( g \)
B. 27.5 \( g \), 35.5 \( g \)
c. 55 g, \( 71 g \)
D. 17.5 \( g \), 190.5 \( g \)
Subject: Biology
Study carefully the given flow chart and fill in the blanks \( (A),(B),(C),(D) \) and \( (E) \)
A. A- -Cellular level, B - Bilateral symmetry, C - Radial symmetry, D - Pseudo-coelomates, E - coelomates
B. A - Cellular level, B - Radial symmetry, c- - Bilatera symmetry, D - coelomates, E - Pseudo-coelomates
c. A - cellular level, B - Bilateral symmetry, C- Radial symmetry, D - coelomates, E - Pseudo-coelomates
D. A - cellular level, B - Radial symmetry, c- - Bilatera symmetry, D - Pseudo-coelomates, E - coelomates
Subject: Maths
The relation \( R \) defined on \( \operatorname{set} A= \)
\( \{\boldsymbol{x}:|\boldsymbol{x}|<\mathbf{3}, \boldsymbol{x} \boldsymbol{\epsilon} \boldsymbol{I}\} \) by \( \boldsymbol{R}= \)
\( \{(x, y): y=|x|\} \) is
A \( \cdot\{(-2,2),(-1,1),(0,0),(1,1),(2,2)\} \)
B - \{(-2,2),(-2,2),(-1,1),(0,0),(1,-2),(2,-1),(2,-2)\}
c. \{(0,0),(1,1),(2,2)\}
D. None of the above
Subject: Maths
If \( k \epsilon R^{+} \) and the middle term of \( \left(\frac{k}{2}+\right. \)
2) \( ^{8} \) is \( 1120, \) then value of \( k \) is
\( \mathbf{A} \cdot \mathbf{3} \)
B. 2
c. 1
D.
Subject: Chemistry
A chemical reaction \( A+2 B \rightarrow A B_{2} \)
follows in two steps:
\( A+B \rightarrow A B(\text { slow }) \)
\( A B+B \rightarrow A B_{2}(\text { fast }) \)
Then the order of the reaction is:
\( A \cdot 3 \)
B. 2
\( c \cdot 1 \)
D.
Subject: Maths
Compare \( \frac{\mathbf{1 9}}{\mathbf{2 0}} \) and \( \frac{\mathbf{1 4}}{\mathbf{2 0}} \)
A \( \cdot \frac{19}{20}=\frac{14}{20} \)
в \( \cdot \frac{19}{20}>\frac{14}{20} \)
c. \( \frac{19}{20} \geq \frac{14}{20} \)
D. \( \frac{19}{20} \leq \frac{14}{20} \)
Subject: Physics
A fixed cylindrical vessel is filled with water up to height \( H . A \) hole is bored in
the wall at a depth \( h \) from the free surface of water. For maximum
horizontal range \( h \) is equal to :
A. \( H \)
в. \( 3 H / 4 \)
c. \( H / 2 \)
D. \( H / 4 \)
Subject: Chemistry
The decreasing order of bond angle is:
A \( \cdot N O_{2}>N O_{2}^{+}>N O_{2}^{-} \)
B . \( N O_{2}^{-}>N O_{2}>N O_{2}^{+} \)
\( \mathbf{c} \cdot N O_{2}^{+}>N O_{2}>N O_{2}^{-} \)
D. \( N O_{2}^{+}>N O_{2}^{-}>N O_{2} \)
Subject: Physics
A plane progressive wave is given by
\( \boldsymbol{y}=2 \cos 6.284(330 t-x) . \) What is
period of the wave?
\( ^{A} \cdot \frac{1}{33^{0}} \)
В. \( 2 \pi \times 330 s \)
c. \( (2 \pi \times 330)^{-1} \) s
D. \( \frac{6.284}{330} \)
Subject: Chemistry
Select the correct order of decreasing reactivity of the following compounds towards the attack of Grignard reagent.
(I)Methyl benzoate (II) Benzaldehyde
(III)Benzoyl chloride (IV)Acetophenone
\( \mathbf{A} \cdot\|>\| \backslash>|>| V \)
B. III >IV >|| > |
c. \( \||>||>| \vee>\mid \)
D. II >IV > > >III
Subject: Physics
A moving coil galvanometer has resistance \( 50 \Omega \) and it indicates full
deflection at \( 4 m A \) current. A voltmeter
is made using this galvanometer and a 5k. \( \Omega \) resistance. The maximum voltage
that can be measured using this voltmeter, will be close to:
A . \( 10 V \)
B. 20V
c. \( 40 V \)
D. \( 15 V \)
Subject: Physics
In the circuit shown, the current in the
1 \( \Omega \) resistor is
\( \mathbf{A} \cdot 1.3 A, \) from \( P \) to \( Q \)
B. \( 0 A \)
c. \( 0.13 A \), from \( Q \) to \( P \)
\( 0.13 A, \) from \( P \) to \( Q \)
Subject: Physics
Two parallel rail tracks run north-south. Train A moves north with a speed of 54 \( k m h^{-1} \) and train \( B \) moves south with a
speed of \( 90 \mathrm{kmh}^{-1}, \) What is the
a. the relative velocity of B with respect
to A?
b. the relative velocity of the ground with respect to B?
c. a velocity of a monkey running on the roof of the train A against its motion (with its velocity of \( 18 \mathrm{kmh}-1 \) with respect to the train \( A \) ) as observed by a
man standing on the
Subject: Chemistry
An ionic bond \( A^{+} B^{-} \) is most likely to be
formed when:
A. the ionization energy of A is high and the electron affinity of B is low.
B. the ionization energy of A is low and the electron affinity of B is high.
c. the ionization energy of A and the electron affinity of is high
D. the ionization energy of A and the electron affinity of is low.
Subject: Physics
A particle of mass \( M, \) moving with a
velocity \( u \) makes a head on collision
with a particle of \( m \) initially at rest so that the final velocities are along the
same line. If the collision is elastic and \( \frac{M}{m}=k, \) then the final velocity of the second particle of mass \( \boldsymbol{m} \) is :
A \( \frac{2 u}{1+k} \)
В \( \frac{2 k u}{1+k} \)
c. \( \frac{2 u}{1-k} \)
D. \( \frac{k M u^{2}}{2(1-k)} \)
Subject: Chemistry
In the aqueous solution of sulphuric acid, the mole fraction of water is 0.849
The molality of the solution is:
A \( .8 .9 m \)
B. \( 0.19 m \)
\( \mathrm{c} .9 .8 \mathrm{m} \)
D. \( 15 \mathrm{m} \)
Subject: Chemistry
Give the name and symbol for each of the atoms which have the ground state electronic configuration in their outer shells:
\( (a) 2 s^{2}(b) 3 s^{2} 3 p^{5}(c) 3 s^{2} 3 p^{6} 4 s^{2}(d) 3 s^{2} 3 p^{6} \)
Subject: Maths
By examine the chest the chest \( X- \) ray probability that \( T . B \) is detected when a
person is actually suffering is \( 0.99 . \) The probability that the doctor diagnoses incorrectly that a person has \( T . B \) on the bases of \( X- \) ray is \( 0.001 . \) In a certain city 1 in 1000 person suffers from \( T . B \) A person is selected at random is
diagnoses to have \( T . B \). What is the
chance that the actually has \( T . B ? \)
Subject: Chemistry
Assertion: There is a scientific
explanation for the feeling of
depression.
Reason: In people who are depressed, the mood-regulating neurotransmitters fail to function normally, so that the signal is either depleted or disrupted before passing to the next nerve cell. In all depressions, it is likely that the transmission of serotonin is reduced or
disrupted.
Choose the correct options.
A. Both Assertion and Reason are correct
B. Assertion is correct but Reason is incorrect
c. Both Assertion and Reason are incorrect
D. Assertion is incorrect but reason is correct
Subject: Chemistry
The best method to purify impure
acetone is:
A. \( \quad C H_{3} C O C H_{3}+H C l \rightarrow C H_{3}-C_{I l}^{D H}-C H_{3} \stackrel{h e a t}{\longrightarrow} \)
\( C H_{3} C O C H_{3} \)
B. \( \quad C H_{3} C O C H_{3}+N a H S O_{3} \rightarrow C H_{3}-C_{I}^{D H}- \)
\( S O_{3} N a \stackrel{N a_{2} C O_{3}}{\longrightarrow} C H_{3} C O C H_{3} \)
\( \mathrm{c} \)
\( C H_{3} C O C H_{3} \)
D.
\[
C H_{3} C O C H_{3}+H_{2} S O_{4} \rightarrow C H_{3}-\quad C_{1}^{\prime} C_{3}-C H_{3} \stackrel{\text { Heat}}{\longrightarrow}
\]
\( C H_{3} C O C H_{3} \)
Subject: Maths
Which one of the following is true for any two square matrices \( A \) and \( B \) of
same order?
\( \mathbf{A} \cdot(A B)^{T}=A^{T} B^{T} \)
B . \( \left(A^{T} B\right)^{T}=A^{T} B^{T} \)
c. \( (A B)^{T}=B A \)
D. \( (A B)^{T}=B^{T} A^{T} \)
Subject: Chemistry
Which of the following statements
¡IIIustrates the law of multiple
proportions?
A. An element forms two oxides, \( \mathrm{XO} \) and \( \mathrm{XO}_{2} \) containing \( 50 \% \) and \( 60 \% \) oxygen respectively. The ratio of masses of oxygen which combines with 1 g of element is 2: 3
B. Hydrogen sulphide contains \( 5.89 \% \) hydrogen, water contains \( 11.1 \% \) hydrogen and sulphur dioxide contains \( 50 \% \) oxygen
C. 3.47 g of \( B a C l_{2} \) reacts with 2.36 g of \( N a_{2} S O_{4} \) to give 3.88 \( \mathrm{g} \) of \( \mathrm{BaSO}_{4} \) and \( 1.95 \mathrm{g} \) of NaCl
D. 20 \( \mathrm{mL} \) of ammonia gives 10 volumes of \( \mathrm{N}_{2} \) and 30
volumes of \( H_{2} \) at constant temperature and pressure
Subject: Physics
A particle of mass \( m \) moving in the \( x \) direction with speed \( 2 y \) is hit by another particvle of mass \( 2 m \) moving in \( \boldsymbol{y} \) direction with speed \( \boldsymbol{v} . \) If the collision is perfectly inelastic, the percentage
loss in the energy during the collision is close to:
A . 44\%
B. 50\%
c. 56\%
D. 62\%
Subject: Physics
An earthquake generates both transverse \( (S) \) and longitudinal \( (P) \) sound waves in the earth. The speed of \( S \) waves is about \( 4.5 k m / s \) and that of \( P \) waves about \( 8.0 k m / s . A \) seismograph records \( P \) and \( S \) waves
from an earthquake. The first \( \boldsymbol{P} \) wave arrives 4.0 min. before the first \( S \)
wave. The epicenter of the earthquake is located at a distance of about
A \( .25 k m \)
B. 250km
c. \( 2500 k m \)
D. \( 5000 k m \)
Subject: Physics
Wind blows with a velocity \( x \) in the direction shown in Fig. Two aeroplanes start out from point \( A \) and fly with a
constant speed \( y . \) The first flies from \( \boldsymbol{A} \)
to \( B \) and the other along \( A \) to \( C . \) Both of
them return back to \( \boldsymbol{A} \). If \( \boldsymbol{A B}=\boldsymbol{A C} \)
then which plane will return to point \( \boldsymbol{A} \)
first, and what will be the ratio of the
times of flight of the two planes?
Subject: Chemistry
An aqueous solution of \( C H_{3} C O O H \)
has a \( \mathrm{pH}=3 \) and acid dissociation
constant of \( C H_{3} C O O H \) is \( 10^{-5} . \) What
will be the concentration of acid taken
initially?
A. \( 0.1 \mathrm{M} \)
B. 0.11 М
c. 0.09 М
D. 0.101 М
Subject: Chemistry
At temperature \( T_{1} \) and composition
Q,which of the following is true?
This question has multiple correct options
A. Vapour phase is richer in B while liquid phase is richer in \( A \)
B. Distillation of composition Q gives only pure A
C. Distillation of composition \( Q \) gives pure \( A \) and pure \( B \)
D. Distillation of composition Q gives higher percentage of B than A.
Subject: Physics
Fig. shows a point charge of \( 0.5 \times 10^{-6} \)
\( \mathrm{C} \) at the center of the spherical cavity of
radius \( 3 c m \) of a piece of metal. The
electric field at :
This question has multiple correct options
A. A (2cm from the charge) is 0
B. A (2 cm from the charge) is \( 1.125 \times 10^{7} \mathrm{NC}^{-1} \)
C. B ( \( 5 \mathrm{cm} \) from the charge ) is 0
D. B (5cm from the charge) is \( 1.8 \times 10^{6} \mathrm{NC}^{-1} \)
Subject: Chemistry
The saponification number of fat or oil
is defined as the number of \( m g \) of

KOH required to saponify 1 g oil or fat. A sample of peanut oil weighing \( 1.5763 g \) is added to \( 25 m L \) of
\( 0.421 M \) KOH.After saponification is
complete, \( 8.46 m L \) of \( 0.2732 M H_{2} S O_{4} \)
is needed to neutralize excess of \( K O H \)
What is the saponification number of
peanut oil?
Subject: Physics
On a cold day when a room temperature
is \( 15^{\circ} \mathrm{C}, \) the metallic cap of a pen
becomes much colder than its plastic body, though both are at the same
temperature of \( 15^{\circ} \mathrm{C} \), because
A. metals have higher thermal capacity than plastics
B. plastics have a lower density than metals
C. metals are good conductor of heat
D. plastics have a higher thermal conductivity than metals
Subject: Maths
Simplify:
\( (7 m-8 n)^{2}+(7 m+8 n)^{2} \)
A \( \cdot 198 m^{2}+28 n^{2} \)
B. \( 98 m^{2}+128 n^{2} \)
\( \mathbf{c} .98 m+128 n \)
D. \( 98 m^{2}-128 n^{2} \)
Subject: Physics
The power of water pump is The power
of water pump is \( 4 k W . \) If
\( \left(g=10 m s^{-2}\right), \) the amount of water it
can raise in 1 minute to a height of \( 20 m \)
is:
A. 100 litre
B. 1000 litre
c. 1200 litre
D. 2400 litre
Subject: Physics
A body of mass \( M \) at rest explodes into
three pieces, two of which of mass \( M / 4 \)
each are thrown off in perpendicular directions with velocities of \( 3 m / s \) and \( 4 m / s \) respectively. The third piece will be thrown off with a velocity of
A. \( 1.5 \mathrm{m} / \mathrm{s} \)
в. 2.0 \( m / s \)
\( c .2 .5 \mathrm{m} / \mathrm{s} \)
D. 3.0 \( m / s \)
Subject: Chemistry
One mole of \( H_{2} O \) and one mole of \( C O \)
are taken in \( 10 \mathrm{L} \) vessel and heated to
725 K. At equilibrium \( 40 \% \) of water (by mass) reacts with \( \mathrm{CO} \) according to the
equation, \( \boldsymbol{H}_{2} \boldsymbol{O}(\boldsymbol{g})+\boldsymbol{C O}(\boldsymbol{g}) \rightleftharpoons \)
\( \boldsymbol{H}_{2}(\boldsymbol{g})+\boldsymbol{C} \boldsymbol{O}_{2}(\boldsymbol{g}) \)
What is the value of equilibrium constant \( \left(K_{c}\right) \) for the reaction.
A .44
B. 4.
\( c \cdot 0.44 \)
D. 2.22
Subject: Physics
Three-fourth of the active nuclei present in a radioactive sample decay in \( \frac{\mathbf{3}}{\mathbf{4}} \) second. What Is the half-life of the
sample?
A. 1 second
B. \( \frac{1}{2} \) second
\( c \cdot 3 \)
\( \frac{3}{4} \) second
D. 3 second
Subject: Physics
If \( \lambda_{0} \) is the de Broglie wavelength for a proton accelerated through a potential difference of \( 100 \mathrm{V}, \) the de Broglie
wavelength for \( \alpha \) -particle accelerated through the same potential difference is
A \( \cdot 2 \sqrt{2} \lambda_{0} \)
B. \( \frac{\lambda_{0}}{2} \)
\( c \cdot \frac{\lambda_{0}}{2 \sqrt{2}} \)
D. \( \frac{\lambda_{0}}{\sqrt{2}} \)
Subject: Chemistry
The equilibrium constant for the given
reaction \( \boldsymbol{H}_{2}+\boldsymbol{I}_{2} \rightleftharpoons 2 \boldsymbol{H} \boldsymbol{I} \) is correctly
given by expression.
\( ^{\mathbf{A}} \cdot_{K_{c}}=\frac{\left[H_{2}\right]\left[I_{2}\right]}{[H I]} \)
в. \( K_{c}=\frac{\left[H_{2}\right]\left[I_{2}\right]}{[2 H I]} \)
\( ^{\mathrm{c}} \cdot_{K_{c}}=\frac{\left[H_{2}\right]\left[I_{2}\right]}{[H I]^{2}} \)
D. \( K_{c}=\frac{[H I]^{2}}{\left[H_{2}\right]\left[I_{2}\right]} \)
Subject: Physics
Choose the correct answer from the
alternatives given. Which among the following does not represent Maxwell's equation?
A \( \cdot \phi \bar{E} \cdot d A=\frac{q}{\varepsilon_{0}} \)
B \( \cdot \phi \bar{B} \cdot \overline{d A}=0 \)
c. \( \phi \bar{E} .-\overline{d l}=\frac{-d B}{d t} \)
D. \( \phi \bar{E} \cdot \overline{d l}=\mu_{0} I_{C}+\mu_{0} \varepsilon_{0} \frac{d \phi E}{d t} \)
Subject: Physics
8
\( H=30 \mathrm{cm} \) and same refractive index
\( \boldsymbol{n}=1.5 \) are placed on a horizontal
surface as shown in figure. Cylinder
has a flat top, cylinder II has a convex
top and cylinder III has a concave top.
The radii of curvature of the two curved
tops are same \( (R=3 m) . \) If \( H_{1}, H_{2} \) and
\( H_{3} \) are the apparent depths of a point \( X \)
on the bottom of the three cylinders,
respectively, the correct statement (s)
is/are:
This question has multiple correct options
\( \mathbf{A} \cdot H_{2}>H_{1} \)
В \( \cdot H_{3}>H_{1} \)
C. \( 0.8 \mathrm{cm}<\left(\mathrm{H}_{2}-\mathrm{H}_{1}\right)<0.9 \mathrm{cm} \)
D. \( H_{2}>H_{3} \)
Subject: Chemistry
Polypropylene can be obtained by polymerisation of :
A \( \cdot C H_{2}=C H-C H_{3} \)
в. \( C H_{2}=C H_{2} \)
\( \mathrm{c} \cdot \mathrm{CH}_{4} \)
D. \( C H_{3}-C H_{3} \)
Subject: Chemistry
Which of the following is not an
objective of Green chemistry?
A. It is better to prevent waste than to treat or clean up waste after it has been created
B. The use of auxiliary substances (e.g., solvents, separation agents, etc.) should be made unnecessary wherever possible and innocuous when used.
C. Energy requirements of chemical processes should be recognized for their environmental and economic impacts and should be minimized. If possible, synthetic methods should be conducted at ambient temperature and pressure.
D. None of the above
Subject: Chemistry
Column - I What is and İ
\( x \)
Magnetic A. \( A g_{2} S \) separation "
\( Y \)
Forth Flotation
B.
\[
\mathrm{FeCr}_{2} \mathrm{O}_{4}
\]
\( z \)
Gravity c. separation \( A l_{2}\left(S i O_{3}\right)_{3} \)
Match the method of concentration of
the ore in column I with the ore in
column II and select the correct
alternate:
A \( . X-A, Y-B, Z-C \)
B. \( X-B, Y-A, Z-C \)
c. \( X-C, Y-A, Z-B \)
D. \( X-B, Y-C, Z-A \)
Subject: Maths
If \( \boldsymbol{x}=\frac{\boldsymbol{a}+\boldsymbol{b}}{\boldsymbol{a}-\boldsymbol{b}} \) and \( \boldsymbol{y}=\frac{\boldsymbol{a}-\boldsymbol{b}}{\boldsymbol{a}+\boldsymbol{b}}, \) find \( \boldsymbol{x}-\boldsymbol{y} \)
Subject: Maths
The non-zero vectors \( \bar{a}, \bar{b} \) and \( \bar{c} \) are related \( \bar{a}=8 \bar{b} \) and \( \bar{c}=-7 \bar{b} . \) Then the
angle between \( \bar{a} \) and \( \bar{c} \) is -
A . 0
в.
c. \( \frac{\pi}{2} \)
D. \( \pi \)
Subject: Physics
A square frame with side \( a \) and a long
straight wire carrying a current \( i \) are located in the same plane as shown in figure. The frame translates to the right
with constant velocity \( v . \) Find the emf induced in the frame as a function of
distance \( \boldsymbol{x} \)
A \( \cdot \frac{\mu_{0}}{7 \pi} \frac{2 i a^{3} v}{x(x+a)} \)
В. \( \frac{\mu_{0}}{4 \pi} \frac{2 i a^{2} v}{x(x+a)} \)
c. \( \frac{\mu_{0}}{2 \pi} \frac{2 i a^{4} v}{x(x+a)} \)
D. \( \frac{\mu_{0}}{3 \pi} \frac{7 i a^{2} v}{x(x+a)} \)
Subject: Physics
Magnetic field at point 'P'due to
following current distribution is
A \( \cdot \frac{\mu_{0} I}{\pi r^{2}} \sqrt{r^{2}-a^{2}} \)
В \( \cdot \frac{\mu_{0} i}{2 \pi a} \)
C \( \cdot \frac{\mu_{0} I}{2 \pi r^{2}} \sqrt{r^{2}-a^{2}} \)
D. \( \frac{\mu_{0} l a}{2 \pi r^{2}} \)
Subject: Chemistry
The weakest acid among the following
is :
\( \mathbf{A} \cdot \mathbf{H}_{2} \mathbf{S} \mathbf{O}_{4} \)
в. \( \mathrm{H}_{2} \mathrm{SO}_{3} \)
\( \mathrm{c} \cdot \mathrm{H}_{2} \mathrm{SeO}_{4} \)
D. \( \mathrm{H}_{2} \mathrm{SeO}_{3} \)
Subject: Maths
If the median of the distribution given
below is \( 28.5, \) find the values of \( x \) and \( y \)
\( \begin{array}{ll}\text { Class interval } & \text { Frequency } \\ 0-10 & 5 \\ 10-20 & x \\ 20-30 & 20 \\ 30-40 & 15 \\ 40-50 & y \\ 50-60 & 5 \\ \text { Total } & 60\end{array} \)
Subject: Chemistry
Write the products when \( P b_{3} O_{4} \) reacts
with \( \boldsymbol{H} \boldsymbol{C l} \)
This question has multiple correct options
\( \mathbf{A} \cdot P b O_{2} \)
в. \( P b C l_{2} \)
\( c \cdot C l_{2} \)
D. \( 2 H_{2} O \)
Subject: Chemistry
For which of the following electrolytic
solution \( \wedge_{m} \) and \( \wedge_{e} \) are equal?
A. \( B a C l_{2} \)
в. \( K C l \)
\( \mathbf{c} \cdot A l_{2}\left(S O_{4}\right) \)
D. \( \operatorname{CaCl}_{2} \)
Subject: Physics
the mass of a planet is \( 10 \% \) less than
that of the Earth and the radius \( 20 \% \)
greater than that of Earth, the acceleration due to gravity on the planet will be:
A . 5 \( \frac{5}{8} \) times that on the surface of the Earth
B. 3 \( \frac{3}{4} \) times that on the surface of the Earth
c. \( \frac{1}{2} \) times that on the surface of the Earth
D. \( \frac{9}{10} \) times that on the surface of the Earth
Subject: Chemistry
What will be products formed when
above epoxide reacts with \( \boldsymbol{C H}_{3} \boldsymbol{O H} \) in
acidic and in basic medium?
A . Acidic - \( \left(C H_{3}\right)_{2} C O H-C H_{2}\left(O C H_{3}\right) \); Basic
\( \left(C H_{3}\right)_{2} C\left(O C H_{3}\right)-C H_{2} O H \)
B. Acidic - (CH3)_COH - CH \( _{2}\left(O C H_{3} \) ); Basic - \right. \( \left(C H_{3}\right)_{2} C O H-C H_{2}\left(O C H_{3}\right) \)
c. Acidic - \( \left(C H_{3}\right)_{2} C\left(O C H_{3}\right)-C H_{2} O H ; \) Basic
\( \left(C H_{3}\right)_{2} C O H-C H_{2}\left(O C H_{3}\right) \)
D. Acidic- \( \left(C H_{3}\right)_{2} C\left(O C H_{3}\right)-C H_{2} O H ; \) Basic\( \left(C H_{3}\right)_{2} C\left(O C H_{3}\right)-C H_{2} O H \)