AkshitPareek2004/jee-question-analyzer-data huggingface dataset:
Subject: Physics
Figure shows the elliptical path of a
planet around the sun. The two shaded
parts have equal areas. If \( t_{1} \) and \( t_{2} \) be
the time taken by the planet to go from
\( a \) to \( b \) and from \( c \) to \( d \) respectively, then
\( \mathbf{A} \cdot t_{1}<t_{2} \)
B \( \cdot t_{1}=t_{2} \)
\( \mathbf{C} \cdot t_{1}>t_{2} \)
D. Insufficient information to deduce the relation
between \( t_{1} \) and \( t_{2} \)
Subject: Chemistry
Structures of nuclei of three atoms \( A, B \) and \( C \) are given below :
A has 90 protons and 146 neutrons
B has 92 protons and 146 neutrons
C has 90 protons and 148 neutrons Based on the above data, which of these
atoms are isotopes and which are isobars?
A. A and C are isotopes; B and C are isobars
B. A and B are isotopes; A and C are isobars
c. B and C are isobars; A and B are isotopes
D. A and C are isotopes; A and B are isobars
Subject: Physics
A convex lens of focal length \( 15 \mathrm{cm} \) is placed in front of a plane mirror at a distance \( 25 \mathrm{cm} \) from the mirror. Where
on the optical axis and from the centre of the lens should be small object be placed such that the final image coincides with the object?
A. \( 15 \mathrm{cm} \) and on the opposite side of the mirror
B. \( 15 \mathrm{cm} \) and between the mirror and the lens
c. \( 7.5 \mathrm{cm} \) and on the opposite side of the mirror
D. \( 7.5 \mathrm{cm} \) and between the mirror and the lens
Subject: Maths
Using the principle mathematical induction, prove that \( \forall n \epsilon N \) \( \boldsymbol{I}_{n}=\int_{0}^{\pi / 2} \cos ^{n} \boldsymbol{x} \sin \boldsymbol{n} \boldsymbol{x} \boldsymbol{d} \boldsymbol{x} \)
\( =\frac{1}{2^{n+1}}\left[2+\frac{2^{2}}{2}+\frac{2^{3}}{3} \ldots+\frac{2^{n}}{n}\right] \)
Subject: Physics
A ray of light strikes a glass plate at an angle of \( 60^{0} . \) If the reflected and
refracted rays are perpendicular to each other the index of refraction of glass is
A \( \cdot \frac{1}{2} \)
B. \( \frac{\sqrt{3}}{2} \)
\( c \cdot \frac{3}{2} \)
D. 1.732
Subject: Maths
The value of \( x \) satisfying the equation 2 \( \left|\begin{array}{cc}\mathbf{3} & \mathbf{1} \\ \mathbf{1} & \mathbf{2}\end{array}\right|+\left|\begin{array}{cc}\boldsymbol{x}^{\mathbf{2}} & \mathbf{9} \\ -\mathbf{1} & \mathbf{0}\end{array}\right|=\left|\begin{array}{cc}\mathbf{5} \boldsymbol{x} & \mathbf{6} \\ \mathbf{0} & \mathbf{1}\end{array}\right|+\left|\begin{array}{cc}\mathbf{0} & \mathbf{5} \\ \mathbf{1} & \mathbf{3}\end{array}\right| \) are
\( A \cdot 1,2 \)
B. 2,3
\( c .\pm 2 \)
\( \mathrm{D} \cdot \pm 3 \)
Subject: Physics
The difference between the wave
number of \( 1^{s t} \) line of Balmer series of
paschen series for \( L i^{2+} \) ion is:
\( A \cdot \frac{R}{36} \)
в. \( \frac{5 R}{36} \)
\( c .4 R \)
D. \( \frac{R}{4} \)
Subject: Chemistry
Chrome green is
\( \mathbf{A} \cdot P b C r O_{4}+F e^{I I I}\left[F e^{I I}(C N)_{6}\right] \)
\( \mathbf{B} \cdot C r_{2} O_{5} \)
\( \mathbf{c} \cdot P b C r O_{4} \)
D. \( F e C r O_{4} \)
Subject: Chemistry
Assertion
The present position of hydrogen in the modern periodic table is completely justifiable.
Reason
Hydrogen is a metallic diatomic
element.
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
If \( A_{n} \) is the area bounded by \( y= \)
\( \left(1-x^{2}\right)^{n} \) and coordinate axes, \( n \) is in
set of natural numbers, then
A. \( A_{n}=A_{n-1} \)
В. \( A_{n}<A_{n-1} \)
C \( . A_{n}>A_{n-1} \)
D. \( A_{n}=2 A_{n-1} \)
Subject: Physics
Assertion
The second law of thermodynamics
states that the entropy of a closed or isolated system always increases. This means that all available energy is used
up and there is no more potential for
further useful work.
Reason
The system becomes disordered and
also degraded
A. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
B. Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion
C. Assertion is correct but Reason is incorrect
D. Both Assertion and Reason are incorrect
Subject: Chemistry
Choose the correct increasing order of density of the following compound.
A \( \cdot C_{3} H_{7} C l<C_{3} H_{7} I<C H_{2} C l_{2}<C C l_{4} \)
в. \( C_{3} H_{7} I<C_{3} H_{7} C l<C H_{2} C l_{2}<C C l_{4} \)
c. \( C_{3} H_{7} I<C_{3} H_{7} C l<C C l_{4}<C H_{2} C l_{2} \)
D. \( C C l_{4}<C H_{2} C l_{2}<C_{3} H_{7} I<C_{3} H_{7} C l \)
Subject: Chemistry
In the esterification \( C_{2} H_{5} O H(l)+ \)
\( \boldsymbol{C H}_{3 k e} \boldsymbol{C O O H}(l) \rightleftharpoons \)
\( \boldsymbol{C H}_{3} \boldsymbol{C O O C}_{2} \boldsymbol{H}_{t a 5}(l)+\boldsymbol{H}_{2} \boldsymbol{O}(l) \) an
equimolar mixture of alcohol and acid taken initially yields under equilibrium,the water with mole fraction=0.333.calculate the
equilibrium constant.
Subject: Physics
A parallel narrow beam of light is
incident on the surface of a transparent
hemisphere of radius \( \boldsymbol{R} \) and refractive
index \( \mu=1.5 . \) The position of the image
formed by refraction at the spherical
surface only is
A. \( R / 2 \)
B. \( 3 R \)
\( c . R / 3 \)
\( \mathbf{D} \cdot 2 R \)
Subject: Maths
If \( \sin x+\cos x=\sqrt{y+\frac{1}{y}}, x \epsilon[0, \pi] \) and
\( \boldsymbol{y}>0, \) then
A . \( x=\pi / 4 \)
B. \( x=\frac{\pi}{2} \)
c. \( x=\frac{\pi}{6} \)
D. \( x=3 \pi / 4 \)
Subject: Maths
Solve: \( 3(2 x+y)=7 x y \) and
\( \mathbf{3}(\boldsymbol{x}+\mathbf{3} \boldsymbol{y})=\mathbf{1 1} \boldsymbol{x} \boldsymbol{y} \)
where, \( \boldsymbol{x} \neq \mathbf{0}, \boldsymbol{y} \neq \mathbf{0} \)
A \( \cdot x=3 ; y=\frac{1}{2} \)
в. \( x=1 ; y=\frac{3}{2} \)
c. \( x=4 ; y=2 \)
D. \( x=3 ; y=4 \)
Subject: Physics
A particle performing SHM has a period of \( 6 s \) and amplitude of \( 8 \mathrm{cm} . \) The particle starts from the mean position
and moves towards the positive extremity. At what time will it have the maximum amplitude
A . \( 6 s \)
B. 4.5s
\( c \cdot 1.5 s \)
D. 3 s
Subject: Chemistry
Assertion
\( \left(H_{2}+O_{2}\right) \) fuel cell gives a constant
voltage throughtout its life.
Reason In this fuel cell, \( H_{2} \) reacts with \( \stackrel{\ominus}{O H} \) ions, yet the over all \( [\stackrel{\ominus}{O} \boldsymbol{H}] \) does not change.
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: Maths
If \( y=x \tan y, \) then \( \frac{d y}{d x} \) is equal to
A. \( \frac{\tan y}{x-x^{2}-y^{2}} \)
в. \( \frac{y}{x-x^{2}-y^{2}} \)
c. \( \frac{\tan y}{y-x} \)
D. \( \frac{\tan x}{x-y^{2}} \)
Subject: Chemistry
Which is not true about \( \boldsymbol{H}_{3} \boldsymbol{P} \boldsymbol{O}_{2} \) ?
A . It is tribasic acid
B. one mol is neutralised by 0.5 mol \( C a(O H) \) )
c. \( N a H_{2} P O_{2} \) is normal salt
D. It disproportionates to \( H_{3} P O_{3} \) and \( P H_{3} \) on heating
Subject: Physics
toppr
Q Type your question.
obtain expressions for impedance of the circuit and phase angle between voltage and current. Find the condition
when current will be in phase with the voltage. What is the circuit in this
condition called?
(ii) In a series LR circuit \( \boldsymbol{X}_{L}=\boldsymbol{R} \) and
power factor of the circuit is \( P_{1} \). When
capacitor with capacitance C such that
\( X_{L}=X_{C} \) is put in series, the power
factor becomes \( P_{2} \). Calculate \( P_{1} / P_{2} \)
OR
(i) Write the function of transformer.
state its principle of working with the help of a diagram. Mention various energy losses in this device.
(ii) The primary coil of an ideal step up transformer has 100 turns and
transformation ratio is also \( 100 . \) The
input voltage and power are respectively \( 220 \mathrm{V} \) and \( 1100 \mathrm{W} \). Calculate
(a) number of turns in secondary
(b) voltage across secondary
(c) current in primary
(d) current in secondary
(e) power in secondary
Subject: Maths
Solve graphically, the following pairs of equations:
\( 2 x+y=23 \)
\( 4 x-y=19 \)
A. \( x=1, y=4 \)
B. \( x=9, y=2 \)
c. \( x=5, y=0 \)
D. \( x=7, y=9 \)
Subject: Chemistry
Which one of the following is not true at room temperature and pressure?
A. \( P_{4} O_{10} \) is a white solid
B. \( S O_{2} \) is a colourless gas
\( \mathrm{c} \cdot \mathrm{SO}_{3} \) is a colourless gas
D. \( N O_{2} \) is brown gas
Subject: Maths
If \( \boldsymbol{P}(\boldsymbol{A} / \boldsymbol{B})=\boldsymbol{P}(\boldsymbol{B} / \boldsymbol{A}) . \boldsymbol{A} \) and \( \boldsymbol{B} \) are two
non-mutually exclusive events then
A. \( A \) and \( B \) are necessarily same events
в. \( P(A)=P(B) \)
c. \( P(A \cap B)=P(A) P(B) \)
D. all the above
Subject: Maths
\( \mathrm{E}, \mathrm{F}, \mathrm{G} \) and \( \mathrm{H} \) are the midpoints of
quadrilateral ABCDas shown in the
figure. If \( \mathrm{BD}=8 \mathrm{cm}, \) then EH is:
\( A \cdot 6 c m \)
B. 4 cm
\( c .5 \mathrm{cm} \)
D. cannot be found
Subject: Physics
A straight conductor \( 0.1 \mathrm{m} \) long moves in a uniform magnetic field ).1T. The velocity of the conductor is \( 15 \mathrm{m} / \mathrm{s} \) and is directed perpendicular to the field The e.m.f. induced between the two ends
of the conductors is.
A . \( 0.10 \mathrm{v} \)
B. 0.15 \( v \)
c. \( 1.50 v \)
D. 15.00
Subject: Physics
The energy of a charged conductor is
given by the expression:
\( \mathbf{A} \cdot q^{2} / 2 c \)
B. \( q^{2} / c \)
\( \mathbf{c} \cdot 2 q c \)
D. \( q / 2 c^{2} \),where q is charges on the conductor,c is its capacity
Subject: Maths
A coin is tossed and a single 6 -sided die is rolled. Find the probability of landing on the tail side of the coin and rolling 4
on the die.
A \( \cdot \frac{1}{12} \)
в. \( \frac{6}{5} \)
\( c \cdot \frac{4}{3} \)
D. \( \frac{3}{4} \)
Subject: Maths
Find \( \mathbf{k} \) if \( \boldsymbol{f}(\boldsymbol{x})= \)
\( \left\{\begin{array}{l}\frac{2^{x+2}-16}{4^{x}-16}, \quad \text { if } \quad x \neq 2 \\ k, \quad \text { if } \quad x=2\end{array}\right. \)
continuous at \( \quad x=2 \)
Subject: Physics
A small ball is connected to a block by a light string of length \( l \). Both are initially on the ground. There is sufficient
friction on the ground to prevent the
block from slipping. The ball is
projected vertically up with a velocity \( u \)
where \( 2 g l<u^{2}<3 g l . \) The centre of
mass of the 'block+ball' system is \( C: \)
This question has multiple correct options
A. \( C \) will move along a circle
B. \( C \) will move along a parabola
c. \( C \) will move along a straight line
D. The horizontal component of the velocity of the ball will first increase and then decrease
Subject: Chemistry
Which of the following represents calgon?
A \( . N a_{2} A l_{2} S i_{2} O_{8} \)
в. \( M g_{3}\left(P O_{4}\right)_{2} \)
c. \( N a_{2}\left[N a_{4}\left(P O_{3}\right)_{6}\right] \)
D. \( N a_{2}\left[M g_{2}\left(P O_{3}\right)_{6}\right] \)
Subject: Physics
A convex lens of focal length \( 15 \mathrm{cm} \) is placed infront of a plane mirror at a distance \( 25 \mathrm{cm} \) from the mirror. Where
on the optical axis and from the centre of the lens should a small object
be placed such that the final image coincides with the object?
A. \( 15 \mathrm{cm} \) and on the opposite side of the mirror
B. \( 15 \mathrm{cm} \) and between the mirror and the lens
c. \( 7.5 \mathrm{cm} \) and on the opposite side of the mirror
D. \( 7.5 \mathrm{cm} \) and between the mirror and the lens
Subject: Physics
Calculate the M.I. of a thin uniform ring about an axis tangent to the ring and in a plane of the ring, if its M.I. about an axis passing through the centre and
perpendicular to plane is \( 4 k g m^{2} \)
A \( \cdot 12 k g m^{2} \)
B. \( 3 k g m^{2} \)
c. \( 6 k g m^{2} \)
D. \( 9 k g m^{2} \)
Subject: Chemistry
toppr
Q Type your question
inspection should convince you that they are indeed different. Now, how their
physical and chemical properties differ? Generally,
i) Cis-isomer has more dipole moment
than trans-isomer.
ii) Cis is less stable than trans.
iii) The boiling points of cis isomers are
more than those of trans isomers
(remember boiling points are directly
related to polarity which is determined by dipole moment).
iv) Chemical reactivities of cis and
trans also differ from each other.
The number of diastereomeric pairs
and enantiomeric pairs respectively, in the set of stereoisomers of the
compound \( \boldsymbol{C H} \boldsymbol{C l}=\boldsymbol{C H}- \)
\( \boldsymbol{C H}\left(\boldsymbol{C H}_{3}\right) \boldsymbol{C}_{2} \boldsymbol{H}_{5} \) are
Comprehension-1 You are given two compounds
A .2,2
\( c \)
D. 2,
Subject: Chemistry
\( (+)- \) Mandelic acid has a specific
rotation of \( +158^{\circ} . \) What would be the
observed specific rotation of a mixture of \( 25 \%(-)- \) mandelic acid and \( \mathbf{7 5 \%}(+)- \) mandelic acid:
A . \( +118.5^{\circ} \)
в. \( -118.5^{\circ} \)
\( \mathrm{c} .-79^{\circ} \)
D. +79
Subject: Physics
\( A 2 \mathrm{m} \) long metallic rod rotates with an
angular frequency of 200 rads\( ^{-1} \) about an axis normal to the rod passing through its one end. The other end of the
rod is in contact with a circular metallic
ring. A constant magnetic field of \( 0.5 \mathrm{T} \) parallel to the axis exists everywhere. The emf developed between the centre and the ring is then
A . 100 v
B. 200 V
c. 300 \( v \)
D. \( 400 \mathrm{v} \)
Subject: Physics
If \( T_{B} \) and \( T_{S} \) are the temperatures of the body and the surroundings and
\( T_{B}-T_{S} \) is of very high value, then the
rate of cooling in natural convection is
proportional to
A \( \cdot T_{B}^{4} \)
в. \( T_{S}^{4} \)
c. \( \quad\left(T_{B}-T_{s}\right)^{\frac{5}{4}} \)
\( ^{\mathrm{D}}\left(T_{B}^{\frac{5}{4}}-T_{S}^{\frac{5}{4}}\right) \)
Subject: Chemistry
The relation between \( U, p \) and \( V \) for an ideal gas in an adiabatic process is given by relation \( U=a+b p V \). Find the value of adiabatic exponent \( \gamma \) of this
gas.
A \( \frac{b+1}{b} \)
в. \( \frac{b+1}{a} \)
c. \( \frac{a+1}{b} \)
D. \( \frac{a}{a+b} \)
Subject: Chemistry
Aluminium is much more reactive than
iron because its standard reduction
potential is higher than iron. Still, aluminium is less easily corroded than
iron because:
A. aluminium reacts with atmospheric carbon dioxide to form a self-protective layer of \( A l_{2} O_{3} \)
B. it has a higher reducing power and forms a self protective layer of \( A l_{2} O_{3} \)
C. it has a higher reducing power and does not react with oxygen so easily
D. both A and B.
Subject: Chemistry
The balance chemical equations for the following:
The preparation of ethyne from 1,2 dibromoethane.
A \( \cdot C H_{2} B r-C H_{2} B r \stackrel{\text {alc.KOH}}{\longrightarrow} C H_{2}=C H B r \)
B . \( C H_{2}=C H B r \stackrel{N a N H_{2}}{\longrightarrow} C H_{2}=C H_{2} \)
c. \( C H_{2} B r-C H_{2} B r \stackrel{\text {alc.KOH}}{\longrightarrow} C H_{2}=C B r_{2} \stackrel{N a N H_{2}}{\longrightarrow} \)
\( C H \equiv C H \)
D. \( C H_{2} B r-C H_{2} B r \stackrel{\text {alc.KOH}}{\longrightarrow} C H_{2}=C H B r \stackrel{N a N H_{2}}{\longrightarrow} \)
\( C H \equiv C H \)
Subject: Chemistry
An organic compound with molecular
formula \( C_{2} H_{4} O_{2} \) produces brisk effervescence on addition of sodium
carbonate/bicarbonate.
(a) Identify the organic compound
(b) Name the gas evolved.
(c) How will you test the gas evolved?
(d) Write the chemical equation for the
above reaction.
(e) List two important uses of the above
compound
Subject: Physics
Assertion
Electric conduction in gases is possible
at normal pressure.
Reason
The electric conduction in gases
depends only upon the potential difference between the electrodes.
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
Q Type your question
weighs \( m^{\prime} . \) Ejection of fuel gas is at a
constant rate of \( m_{0} \) per second with a
constant velocity of \( u_{r e l} \) relative to the
rocket. Final speed of rocket after the
complete burn out of the fuel is given by
\( \boldsymbol{v}= \)
\( ^{\mathbf{A}} \cdot_{u_{r e l}} \log _{e} \frac{m}{m^{\prime}} \)
в. \( \quad u_{r e l} \log _{e} \frac{m_{0}}{m} \)
\( ^{\mathrm{c}} \cdot_{-u_{r e l}} \log _{e} \frac{m_{0}}{m^{\prime}} \)
D. \( -u_{r e l} \frac{d m}{m} \)
Subject: Chemistry
Assertion
During \( \beta \) -decay, a new element with atomic number greater than one is
obtained.
Reason Protons and neutrons keep on changing
into one another through meson
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
Which of the following pairs of vectors
are parallel?
A \( . \vec{A}=\hat{i}-2 \hat{j} ; \vec{B}=\hat{i}-5 \hat{j} \)
B . \( \vec{A}=\hat{i}-10 \hat{j} ; \vec{B}=2 \hat{i}-5 \hat{j} \)
c. \( \vec{A}=\hat{i}-5 \hat{j} ; \vec{B}=\hat{i}-10 \hat{j} \)
D. \( \vec{A}=\hat{i}-5 \hat{j} ; \vec{B}=2 \hat{i}-10 \hat{j} \)
Subject: Chemistry
Which of the following statements is
correct?
(i) Copper is extracted by hydrometallurgy from low-grade ores.
(ii) In the electrolytic reduction of alumina, graphite is acting as an anode
and steel vessel with the lining of carbon acts as an anode.
(iii) In Hall-Heroult process, aluminium
is obtained at anode and \( \mathrm{CO} \) and \( \boldsymbol{C O}_{2} \)
are produced at the cathode.
A. (i) only
B. (i) and (ii) only
C . (ii) and (iii) only
D. All of these
Subject: Chemistry
Calcium imide on hydrolysis gives a gas \( B, \) which on oxidation by bleaching powder gives a gas \( C . \) Gas \( C \) on reaction with magnesium gives a compound \( D \), which on hydrolysis again gives a gas \( B \). Hence, \( B, C \) and \( D \) are respectively:
A \( \cdot N H_{3}, N_{2}, M g_{3} N_{2} \)
в. \( N_{2}, N H_{3}, M g N H \)
c. \( N_{2}, N_{2} O_{5}, M g\left(N O_{3}\right)_{2} \)
D. \( N H_{3}, N O_{2}, M g\left(N O_{2}\right)_{2} \)
Subject: Chemistry
Suppose the complex ion
\( \left[\boldsymbol{C o}\left(\boldsymbol{N} \boldsymbol{H}_{3}\right)_{2}\left(\boldsymbol{H}_{2} \boldsymbol{O}\right)_{2} \boldsymbol{C l}_{2}\right]^{-} \) is
synthesized with two ammine ligands cis to each other, the two aqua ligands
cis to each other and two chloro ligands
cis to each other. Is this complex
optically active?
Subject: Maths
Given that the \( 4^{t h} \) term in the expansion of \( \left(2+\frac{3 x}{8}\right)^{10} \) has the maximum numerical value, then \( x \) can lie in the
interval(s)
This question has multiple correct options
\( \mathbf{A} \cdot\left(2, \frac{64}{21}\right) \)
B \( \cdot\left(-\frac{60}{23},-2\right) \)
\( \mathbf{C} \cdot\left(-\frac{64}{21},-2\right) \)
D \( \cdot\left(2,-\frac{60}{23}\right) \)
Subject: Chemistry
Statement 1: Many chemical reactions slow down with lowering temperature. Statement 2: The energy barrier for the formation of products decreases with decreasing temperature.
A. Statement 1 and Statement 2 are correct and Statement 2 is the correct explanation of Statement 1
B. Both the Statement 1 and Statement 2 are correct, but Statement 2 is NOT the correct explanation of Statement 1.
c. statement 1 is correct, but statement 2 is not correct
D. Statement 1 is not correct, but Statement 2 is correct
Subject: Chemistry
If K.E. of an electron, \( \alpha- \) particle and a
proton are represented by \( \boldsymbol{E}_{1}, \boldsymbol{E}_{2} \) and \( \boldsymbol{E}_{3} \) respectively (provided all these have same de Broglie wavelength) then
A \( . E_{1}=E_{2}=E_{3} \)
в. \( E_{1}>E_{2}>E_{3} \)
c. \( E_{1}>E_{3}>E_{2} \)
D. \( E_{2}>E_{3}>E_{1} \)
Subject: Chemistry
The stability of cation in dihalides of
Si, Ge, Sn and Pb increases in the
sequence is:
A \( \cdot G e X_{2}<\operatorname{Si} X_{2}<S n X_{2}<P b X_{2} \)
B. \( \operatorname{SiX}_{2}<\operatorname{GeX}_{2}<\operatorname{Pb} X_{2}<\operatorname{SnX}_{2} \)
c. \( \operatorname{six}_{2}<\operatorname{Ge} X_{2}<\operatorname{Sn} X_{2}<\operatorname{Pb} X_{2} \)
D. \( P b X_{2}<\operatorname{Sn} X_{2}<G e X_{2}<\operatorname{Si} X_{2} \)
Subject: Maths
If one line of the pair of lines \( a x+ \)
\( 2 b x y+b y^{2}=0 \) bisects the angle bet.
Co-ordinates axes in the quadrant
\( A \cdot a-b=12 b \)
B. \( a+b=-2 b \)
\( c \cdot a+b=2 b \)
D. \( (a-b)^{2}=4 b^{2} \)
Subject: Maths
If \( \boldsymbol{x}=\mathbf{2}, \boldsymbol{x}=\mathbf{0} \) are roots of the
polynomials \( f(x)=2 x^{3}-5 x^{2}+a x+ \)
\( b, \) then find the values of \( a \) and \( b \)
A \( \cdot a=2, b=0 \)
В. \( a=7, b=0 \)
c. \( a=3, b=0 \)
D. \( a=1, b=0 \)
Subject: Physics
For a given density of the planet, the orbital period of a satellite near the surface of planet of radius \( \boldsymbol{R} \) is
proportional to:
A \( \cdot \frac{1}{2} \)
в. \( \frac{3}{2} \)
c. \( \frac{-1}{2} \)
D. \( R^{0} \)
Subject: Chemistry
Amongst the following statements, that
which was not proposed by Dalton was:
A. chemical reactions involve reorganizations of atoms. These are neither created nor destroyed in a chemical reaction.
B. when gases combine or reproduced in a chemical reaction they do so in a simple ratio by volume provided all gases are at the same \( T \) and \( P \)
C. All the atoms of a given element have identical properties including identical mass. Atoms of different elements differ in mass.
D. matter consists of indivisible atoms
Subject: Chemistry
Assertion
De Broglie equation has significance for any microscopic or submicroscopic particles.
Reason
De Broglie wavelength is inversely proportional to the mass of the object.
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 thrown vertically upward with a speed of \( 25.0 \mathrm{m} / \mathrm{s} \). How long does the ball take to hit the ground after it reaches its highest point?
A . \( 2.5 s \)
B. \( 3 s \)
c. \( 4 s \)
D. \( 2 s \)
Subject: Chemistry
Which of the following statements are
correct?
A. The second ionization enthalpy of oxygen element is greater than that of the fluorine element.
B. The first ionization enthalpy of phosphorus is greater than that of aluminium.
C. The first ionization enthalpy of aluminum is slightly greater than that of gallium.
D. The first ionization enthalpy of \( B \) is less than that of Be.
Subject: Chemistry
Assertion
A cation of less size is more favorable
for ionic bond formation.
Reason
If the size of the atoms is small, the
nuclear pull on the electrons is more.
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: Chemistry
The forward rate constant for the
elementary reversible gaseous reaction
\( C_{2} H_{6} \rightleftharpoons 2 C H_{3} \) is \( 1.57 \times 10^{-3} s^{-1} \) at
\( 100 K \)
What is the rate constant for the
backward reaction at this temperature
if \( 10^{-4} \) moles of \( C H_{3} \) and 10 moles of
\( C_{2} H_{6} \) are present in a 10 litre vessel at
equilibrium?
A \( .1 .57 \times 10^{9} \mathrm{L} \) mol\( ^{-1} s^{-1} \)
B. \( 1.57 \times 10^{10} L \quad \) mol \( ^{-1} s^{-1} \)
C \( \cdot 1.57 \times 10^{11} L \quad \) mol \( ^{-1} s^{-1} \)
D. \( 1.57 \times 10^{7} L \quad \) mol \( ^{-1} s^{-1} \)