AkshitPareek2004/jee-question-analyzer-data huggingface dataset:
Subject: Maths
Consider the following relations
\( (1) \boldsymbol{A}-\boldsymbol{B}=\boldsymbol{A}-(\boldsymbol{A} \cap \boldsymbol{B}) \)
(2) \( \boldsymbol{A}=\boldsymbol{A}-(\boldsymbol{A} \cap \boldsymbol{B}) \cup(\boldsymbol{A}-\boldsymbol{B}) \)
(3) \( \boldsymbol{A}-(\boldsymbol{A} \cup \boldsymbol{C})=(\boldsymbol{A}-\boldsymbol{B}) \cup(\boldsymbol{A}-\boldsymbol{C}) \)
Which of these is correct
A . 1 and 3
B. 2 only
\( c \cdot 2 \) and 3
D. 1 and 2
Subject: Physics
The altitude of a parallelopiped whose three coterminous edges are the vectors, \( \overline{\boldsymbol{A}}=\hat{\boldsymbol{i}}+\hat{\boldsymbol{j}}+\hat{\boldsymbol{k}} ; \overline{\boldsymbol{B}}=\mathbf{2} \hat{\boldsymbol{i}}+\boldsymbol{4} \hat{\boldsymbol{j}}-\hat{\boldsymbol{k}} \)
\( \& \bar{C}=\bar{i}+\bar{j}+3 \hat{k} \) with \( \bar{A} \) and \( \bar{B} \) as the
sides of the base of the parallelopiped is
A. \( 2 / \sqrt{19} \)
в. \( 4 / \sqrt{19} \)
c. \( 2 \sqrt{38} / 19 \)
\( D . \) none
Subject: Physics
A mixture contains 1 mole of helium
\( \left.C_{p}=2.5 R, C_{v}=1.5 R\right) \) and 1 mole of
hydrogen \( \left(C_{p}=3.6 R, C_{v}=2.5 R\right) \)
Calculate the volue of \( C_{p}, C_{v} \) and \( \gamma \) for the mixture.
Subject: Maths
PQ and PR are the tangents to a circle with centre \( O . \) If \( \angle P=\frac{4}{5} \angle O . \) Find
\( \angle Q O R \)
A \( \cdot 90^{\circ} \)
B. \( 80^{\circ} \)
\( c \cdot 110^{\circ} \)
D. None of these
Subject: Physics
Assertion
Density of a substance is the ratio of
mass of the substance to its volume
Reason
Relative density is the ratio of density of
substance to the density of water at \( 4^{\circ} \mathrm{C} \)
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 molar heat of combustion of \( C_{2} H_{2} \)
carbon and hydrogen are -1300 kJ, -393.5 kJ and -282.6 kJ respectively. The enthalpy of \( C_{2} H_{2} \) in kJ mol \( ^{-1} \) is:
A. 620.3
B. -226.8
c. +226.8
D. 1980
Subject: Physics
Two particles of equal mass go around in a circle of radius \( r \) under the action
of their mutual gravitational attraction. If the mass of each particle is \( m \), the
speed of each particle is
A \( \cdot \sqrt{\frac{G m}{r}} \)
в. \( \sqrt{\frac{G m}{2 r}} \)
c. \( \sqrt{\frac{G m}{4 r}} \)
D. \( \sqrt{\frac{2 G m}{r}} \)
Subject: Maths
State which of the following are finite
sets.
\( (i)\{x: x \in N\} \) and \( (x-1)(x-2)=0 \)
\( (i i)\{x: x \in N\} \) and \( x \) is prime.
\( (i i)\{x: x \in N\} \) and \( x \) is odd
A . (i) only
B. \( (i),(i i) \) and \( (i i i) \)
c. \( (i) \) and \( (i i) \)
D. (ii) and (iii)
Subject: Biology
Many persons like to use asthma as an excuse for not being able to do well in
sports. Try telling them about Down Fraser, who was the first women to break 60 sec in 100 m freestyle swimming. The first women to win four Olympic gold medals and the first swimmer to win the same event in three
consecutive Olympics was asthmatic. On the basis of the above passage,
answer the following question.
¡) Mention the qualities, which might have helped her to win medals at three Olympics consecutively.
Subject: Physics
Assertion
Acceleration due to gravity at a place on earth remains constant for all objects
Reason
Acceleration due to gravity doesn't depend on the mass of the object but
only on mass of earth
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 \( \boldsymbol{A}=\mathbf{5} \boldsymbol{p}^{2}-\boldsymbol{3} \boldsymbol{q}^{2}+\boldsymbol{r}^{2}, \boldsymbol{B}=-\boldsymbol{2} \boldsymbol{q}^{2}+ \)
\( \boldsymbol{3} \boldsymbol{p}^{2}-\boldsymbol{4} \boldsymbol{r}^{2} \) and \( \boldsymbol{C}=-\boldsymbol{7} \boldsymbol{r}^{2}+\boldsymbol{3} \boldsymbol{p}^{2}+\boldsymbol{2} \boldsymbol{q}^{2} \)
Find \( \boldsymbol{A}+\boldsymbol{B}-\boldsymbol{C} \)
Subject: Maths
If \( \boldsymbol{n}=\mathbf{1} \mathbf{2} \boldsymbol{m}(\boldsymbol{m} \in \boldsymbol{N}),^{n} \boldsymbol{C}_{0}- \)
\( \frac{\boldsymbol{n} \boldsymbol{C}_{2}}{(\mathbf{2}+\sqrt{\mathbf{3}})^{2}}+\frac{\boldsymbol{n}_{\mathbf{4}}}{(\mathbf{2}+\sqrt{\mathbf{3}})^{4}}- \)
\( \frac{n \boldsymbol{C}_{\mathbf{6}}}{(\mathbf{2}+\sqrt{\mathbf{3}})^{6}}+\dots=(-\mathbf{1})^{\boldsymbol{m}}\left(\frac{\sqrt{\boldsymbol{p}}}{\mathbf{1}+\sqrt{\boldsymbol{Q}}}\right)^{n} \)
then \( \boldsymbol{P}-\boldsymbol{Q} \) is:
Subject: Maths
\( \mathbf{n} \)
Fig., \( \mathrm{M}, \mathrm{N} \) and \( \mathrm{P} \) are the mid-points of
\( A B, A C \) and \( B C \) respectively. If \( \mathrm{MN}=3 \mathrm{cm} \) \( \mathrm{NP}=3.5 \mathrm{cm} \) and \( \mathrm{MP}=2.5 \mathrm{cm}, \) calculate
\( \mathrm{BC}, \mathrm{AB} \) and \( \mathrm{AC} \)
Subject: Physics
Force between two identical bar magnets
whose centres are rmeters apart is \( 4.8 N \)
when their axis are in the same line. If the
separation is increased to \( 2 r \) meters, the force between them is reduced to:
A. 2.4
B. 1.2 N
c. \( 0.6 \mathrm{N} \)
D. 0.3 N
Subject: Chemistry
Consider the following metallurgical
processes.
(i) Heating impure metal with \( \mathrm{CO} \) and distilling the resulting volatile carbonyl (boiling point \( 43^{\circ} C \) ) and finally
decomposing at \( 150^{\circ} \mathrm{C} \) to \( 200^{\circ} \mathrm{C} \) to get
the pure metal
(ii) Heating the sulphide ore in air until a part is converted to oxide and then
further heating in the absence of air to let the oxide react with unchanged
sulphide.
(iii) Electrolysing the molten electrolyte containing approximately equal amounts of the metal chloride and
\( \mathrm{CaCl}_{2} \) to obtain the metal
The process used for obtaining sodium, nickel and copper are, respectively:
A. (i), (ii) and (iii)
B. (ii), (iii) and (i)
c. (iii), (i) and (ii)
D. (ii), (i) and (iii)
Subject: Chemistry
Which of the following statement(s)
is/are correct"?
This question has multiple correct options
A. The chemical processes in the production of steel from haematite ore involve reduction followed by
oxidation.
B. In Hall-Heroult process, the electrolyte used is a molten mixture of alumina and cryolite or fluorspar.
C. Lead is extracted from its chief ore galena by both carbon reduction as well as self reduction,
D. Haematitic, cassiterite, and argentite are oxide ores.
Subject: Chemistry
\( \mathbf{\Psi}_{1 s}=\left[\frac{1}{\sqrt{\pi a_{o}^{3}}}\right] e^{-r / a_{0}} \)
Above relation is wave function of
hydrogen atom in ground state \( (r= \) distance of electron from nucleus and
\( \boldsymbol{a}_{0}=\mathbf{0 . 5 2 9} \times \mathbf{1 0}^{-8} \boldsymbol{c m} \) ). For \( \mathbf{1} \boldsymbol{s} \) orbital of
hydrogen, the maximum probability of finding an electron is at \( r= \)
A. \( a_{0} / 2 \)
2
в. \( a_{0} \)
\( c \cdot 2 a_{0} \)
D. \( \sqrt{a_{0}} \)
Subject: Physics
An electron of a stationary hydrogen atom passes from the fifth energy level to the ground level. The velocity that the atom acquired as a result of photon emission will be:
A \( \cdot \frac{25 m}{24 h R} \)
B . \( \frac{24 m}{24 h R} \)
\( \mathrm{c} \cdot \frac{24 h R}{25 m} \)
D. \( \frac{25 m}{14 h R} \)
Subject: Chemistry
Order of magnitude of density of
uranium nucleus is :
\( \left(\boldsymbol{m}_{\boldsymbol{p}}=\mathbf{1 . 6 7} \times \mathbf{1 0}^{-\mathbf{2 7}} \boldsymbol{k g}\right) \)
\( \begin{array}{ll}\text { A } \cdot 2 \times 10^{20} & k g / m^{3}\end{array} \)
B . \( 1 \times 10^{10} \mathrm{kg} / \mathrm{m}^{3} \)
C \( \cdot 4 \times 10^{14} \quad k g / m^{3} \)
D. \( 4 \times 10^{11} \quad k g / m^{3} \)
Subject: Maths
\( p \) is a prime number and \( n<p<2 n . \) If
\( N=^{2 n} C_{n}, \) then
A. \( p \) divides \( N \) completely
B . \( p^{2} \) divides \( N \) completely
c. \( p \) cannot divide \( N \)
D. none of these
Subject: Chemistry
A student requires hard water for an experiment in his laboratory which is not available in the neighbouring area. In the laboratory there are hard water. Select from the following groups of salts, a group, each salt of which when
dissolved in distilled water will make it
hard.
A. Sodium chloride, Potassium chloride
B. Sodium sulphate, Potassium sulphate
c. sodium sulphate, Calcium sulphate
D. Calcium sulphate, Calcium chloride
Subject: Physics
A tank of height \( 5 m \) is full of water. There is a hole of cross sectional area
\( 1 \mathrm{cm}^{2} \) in its bottom. The initial volume
of water that will come out from this
hole per second is
A \( \cdot 10^{-3} m^{3} / s \)
B . \( 10^{-4} \mathrm{m}^{3} / \mathrm{s} \)
c. \( 10 m^{3} / s \)
D. \( 10^{-2} \mathrm{m}^{3} / \mathrm{s} \)
Subject: Chemistry
(a) Following reactions occur at cathode during the electrolysis of aqueous sodium chloride solution:
\( N a^{+}(a q)+e^{-} \longrightarrow N a(s) E^{0}= \)
\( -2.71 V \)
\( \boldsymbol{H}^{+}(\boldsymbol{a} \boldsymbol{q})+\boldsymbol{e}^{-} \longrightarrow \frac{\mathbf{1}}{\mathbf{2}} \boldsymbol{H}_{2}(\boldsymbol{g}) \boldsymbol{E}^{0}= \)
\( 0.00 V \)
On the basis of their standard reduction
electrode potential \( \left(\boldsymbol{E}^{0}\right) \) values
which reaction is feasible at the
cathode and why?
(b) Why does the cell potential of mercury cell remain constant throughout its life?
Subject: Chemistry
In the structure of \( \boldsymbol{H}_{2} \boldsymbol{C S} \boldsymbol{F}_{4}, \) which of
the following statement(s) is/are
correct?

This question has multiple correct options
A. Two \( C-H \) bonds are in the same plane of axial \( S-F \) bonds
B. Two \( C-H \) bonds are in the same plane of equitoria \( S-F \) bonds.
c. Total six atoms are in the same plane.
D. Equitorial \( S-F \) plane is perpendicular to nodal plane
of \( \pi- \) bond
Subject: Chemistry
Henry's law constant for the solubility of
\( N_{2} \) gas in water at \( 298 \mathrm{K} \) is \( 1.0 \times 10^{5} \)
atm. The mole fraction of \( N_{2} \) in air is 0.6
The number of moles of \( N_{2} \) from air
dissolved in 10 moles of water at \( 298 \mathrm{K} \)
and 5 atm pressure is:
A \( .3 .0 \times 10^{-4} \)
В. \( 4.0 \times 10^{-4} \)
c. \( 5.0 \times 10^{-4} \)
D. \( 4.0 \times 10^{-5} \)
Subject: Physics
the same park. The tables show the
weight of each person, along with the
distance between their centers of mass.
Which pair has the strongest attraction for each other (gravitationally)?
\( \mathbf{A} \)
\begin{tabular}{|l|l|}
\hline \multicolumn{1}{|c|} { Weight of Person 1 } & \multicolumn{1}{|c|} {100 pounds } \\
\hline Weight of Person 2 & 100 pounds \\
Distance between Them & 5 feet \\
\hline
\end{tabular}
B. \begin{tabular}{|l|l|}
\hline \multicolumn{1}{|c|} { Weight of Person 3 } & \multicolumn{1}{|c|} {50 pounds } \\
\hline Weight of Person 4 Distance between Them & 100 pounds 5 feet \\
\hline
\end{tabular}
\( c \)
\begin{tabular}{|l|l|}
\hline \multicolumn{1}{|c|} { Weight of Person 5 } & \multicolumn{1}{|c|} {300 pounds } \\
\hline Weight of Person 6 & 100 pounds \\
Distance between Them & 15 feet \\
\hline
\end{tabular}
D. \begin{tabular}{|l|l|}
\hline \multicolumn{1}{|c|} { Weight of Person 7 } & 300 pounds \\
\hline Weight of Person 8 & 200 pounds \\
Distance between Them & 30 feet \\
\hline
\end{tabular}
E. Some pairs tie for the greatest attraction
Subject: Chemistry
A and B are:
\( \mathrm{B} \prec \mathrm{NaBH}_{4}\langle\quad \mathrm{CH}=\mathrm{CH}-\mathrm{CHO} \stackrel{\mathrm{H}_{2} / \mathrm{Pt}}{\longrightarrow} \mathrm{A} \)
\( A \)
\( \left\langle-\mathrm{cH}_{2} \mathrm{CH}_{2} \mathrm{cHo},\langle\quad\rangle_{\mathrm{CH}}=\mathrm{cH}-\mathrm{cH}_{2} \mathrm{OH}\right. \)
\( c \)
\( \left\langle\mathrm{CH}=\mathrm{CH}-\mathrm{CH}_{2} \mathrm{OH} \) in both cas \right.
\( D \)
\( \left\langle\mathrm{CH}_{2} \mathrm{CH}_{2} \mathrm{CH}_{2} \mathrm{OH} \) in both cases \right.
Subject: Chemistry
On passing \( C \) ampere of current for
time \( t \) sec through \( 1 L \) of \( 2 M C u S O_{4} \)
solution (atomic weight of \( \boldsymbol{C u}=\mathbf{6 3 . 5} \) ), the amount \( m \) of \( C u \) (in gram) deposited on cathode will be:
A \( \cdot m=\frac{C t}{(63.5 \times 96500)} \)
в. \( _{m}=\frac{C t}{(31.75 \times 96500)} \)
c. \( _{m}=\frac{(C \times 96500)}{(31.75 \times t)} \)
D. \( m=\frac{(31.75 \times C \times t)}{96500} \mathrm{g} \)
Subject: Maths
The area of the triangle formed by the
\( \operatorname{lines} y=a x, x+y-a=0 \) and the
\( y-a x i s \) is equal to
A \( \cdot \frac{1}{2|1+a|} \)
в. \( \frac{a^{2}}{|1+a|} \)
c. \( \frac{1}{2} \mid \frac{a}{1+a} \)
D. \( \frac{a^{2}}{2|1+a|} \)
Subject: Chemistry
\( (\boldsymbol{A})\left(\boldsymbol{C}_{10} \boldsymbol{H}_{6}\right) \frac{\text {Reductiveoroxidative}}{\text {ozonolysis}} \)
\( (B)\left(C_{5} H_{8} O\right) \)
(A) reacts with one equivalent of \( \boldsymbol{H}_{2} / \mathrm{Pd} \) Give all the possible structures of \( (A) \) and (B) if :
Both (A) and (B) are resolvable.
Subject: Chemistry
Which one is correct
A. Oxidizing property along a period - Decreases. Down the group - Increases. Reducing property along a period - Decreases. Down the group - Increases
B. Oxidizing property along a period - Increases. Down the group - Decreases. Reducing property along a period - Increases. Down the group - Decreases
C. Oxidizing property along a period - Increases. Down the group - Increases. Reducing property along a period - Decreases. Down the group - Increases
D. Oxidizing property along a period - Increases. Down the group - Decreases. Reducing property along a period - Decreases. Down the group - Increases
Subject: Chemistry
Write all the four quantum no.for \( \boldsymbol{p}- \)
electrons of \( _{7} \mathbf{N}^{14} \)
A \( \cdot n=3, l=2, m=-1,0,+1 ; s=+\frac{1}{2} \) and \( -\frac{1}{2} \)
B. \( n=2, l=1, m=-1,0,+1 ; s=+\frac{1}{2} \) or \( -\frac{1}{2} \)
c. \( _{n=2, l=1, m=-1,0,+1 ; s=+\frac{1}{2}} \)
D. \( n=2, l=0, m=0 ; s=+\frac{1}{2} \) and \( -\frac{1}{2} \)
Subject: Physics
Assertion
Force experienced by moving charge
will be maximum if direction of velocity of charge is perpendicular to applied magnetic field.
Reason
Force on moving charge is independent of direction of applied magnetic field.
A. Both Assertion and Reason are correct and Reason is the correct explanation of Assertion.
B. Both Assertion and Reason are correct, but Reason is not the correct explanation of Assertion.
C. Assertion is correct but Reason is incorrect.
D. Assertion is incorrect but Reason is correct.
Subject: Physics
A bar made of material whose Young's
modulus is equal to \( E \) and Poisson's
ratio to \( \mu \) is subjected to the
hydrostatic pressure \( p \). Find the relationship between the
compressibility \( \beta \) and the
elastic constants \( \boldsymbol{E} \) and \( \boldsymbol{\mu} \)
\( ^{\mathbf{A}} \cdot_{\beta}=(1-2 \mu) \frac{3}{E} \)
B. \( \beta=(1-3 \mu) \frac{2}{E} \)
\( ^{\mathbf{c}} \cdot_{\beta}=(1+2 \mu) \frac{E}{3} \)
D \( \mu=(1-2 \beta) \frac{3}{E} \)
Subject: Physics
A plane wavelength \( \left(\boldsymbol{\lambda}=\mathbf{6} \times \mathbf{1 0}^{-\mathbf{7}} \boldsymbol{m}\right) \)
falls on a slit \( 0.4 m m \) wide. A convex
lens of focal length \( 0.8 m \) placed behind the slit focusses the length on a screen What is the linear diameter of second
maximum
A. \( 0.16 \mathrm{mm} \)
B. \( 12 \mathrm{mm} \)
\( c .3 m m \)
\( \mathbf{D} \cdot 9 m m \)
Subject: Physics
Two cells \( A \) and \( B \) of emf \( 2 V \) and \( 1.5 \vee \)
respectively, are connected as shown in
figure through an external resistance
10 \( \Omega \). the internal resistance of each cell
and is \( 5 \Omega . \) The potential difference \( \boldsymbol{E}_{\boldsymbol{A}} \)
and \( E_{B} \) across the terminals of the cells
A and B respectively are:
\( \mathbf{A} \cdot E_{A}=2.0 V \cdot E_{B}=1.5 V \)
B \( . E_{A}=2.125 V, E_{B}=1.375 V \)
\( \mathbf{c} \cdot E_{A}=1.875 V, E_{B}=1.625 V \)
D \( . E_{A}=1.875 V, E_{B}=1.375 V \)
Subject: Chemistry
\( \boldsymbol{C H}_{3}-\boldsymbol{C H} \boldsymbol{M} \boldsymbol{g} \boldsymbol{C l}+\boldsymbol{C H}_{3}- \)
\( \boldsymbol{C H}_{3} \)
\( C H_{3} \)
\( C-O H \rightarrow^{\prime} Q^{\prime} \)
\( C H_{3} \)
What is 'Q'?
A. Isobutane
B. Isopropane
c. Tert. butyl chloride
D. Propane
Subject: Maths
\( \frac{3 \frac{1}{4}-\frac{4}{5} o f \frac{5}{6}}{4 \frac{1}{3} \div \frac{1}{5}-\left(\frac{3}{10}+21 \frac{1}{5}\right)} \)
\( \left(1 \frac{2}{3} o f 1 \frac{1}{2}\right) \) is equal to:
\( A \cdot 9 \)
B \( \cdot 11 \frac{1}{2} \)
c. 13
D. \( 15 \frac{1}{2} \)
Subject: Maths
A shopkeeper gives a discount of \( 25 \% \) on the marked price of an article and still earns a profit of \( 20 \% \) on his outlay, If he had not given any discount, then the profit on his outlay would have been
A . \( 45 \% \)
B. \( 50 \% \)
\( c .55 \% \)
D. \( 60 \% \)
Subject: Maths
The point \( P(a, b) \) is such that \( b- \) \( 25 a=4 \) and the arithmetic mean of \( a \)
an \( b \) is \( 28 . Q(x, y) \) is the point such that
\( x \) and \( y \) are two geometric means between \( a \) and \( b \) if \( O \) is the origin then
\( O P^{2}+O Q^{2} \) is equal to
Subject: Maths
If expected value in n Bernoulli trials is 8 and variance is \( 4 . \) If \( P(x \leq 2)=\frac{k}{2^{16}} \)
then value of k is?
\( \mathbf{A} \cdot \mathbf{1} \)
B. 137
c. 136
D. 120
Subject: Biology
The domestic sewage in large cities
A. Has a high BOD level, as site containes both aerobic and anaerobic bacteria.
B. Is processed by aerobic and then anaerobic bacteria in the secondary treatment in the Sewage Treatment Plants (STPs).
C. When treated in STPs does not really require the aeration step as the sewage contains adequate oxygen.
D. Has very high amounts of suspended solids and dissolved salts.
Subject: Physics
If the system is not in free fall, which of
the following statements are true about
hydrostatic pressure?
This question has multiple correct options
A. In a liquid, point at different depths can never be at the
same pressure.
B. In a liquid, points at different depths may be at the
same pressure.
C. In different liquids, points at different depths can be at the same pressure.
D. In different liquids, points at the same depth can never be at same pressure.
Subject: Maths
What is \( \int_{1}^{e} x \ln x d x \) equal to?
\( ^{\mathrm{A}} \cdot \frac{e+1}{4} \)
B. \( \frac{e^{2}+1}{4} \)
c. \( \frac{e-1}{4} \)
D. \( \frac{e^{2}-1}{4} \)
Subject: Biology
Pick up the correct statement:
(a) Synapsis of homologous chromosomes occurs during prophase I
(b) Division of centromeres takes place during anaphase I
(c) Spindle fibres disappear completely in telophase of mitosis.
(d) Nucleoli may reappear in telophase
A . a only
B. conly
c. a and bonly
D. a, c and d only
Subject: Physics
Fill up the blanks:
a) light sensitive screen of human
eye.................
b) near sightedness is corrected
by
c) hypermetropia is corrected by.....
d) range of vision for a normal eye.............
\( A \cdot \) a. retina
b. concave lens
c. convex lens
d. \( 25 \mathrm{cm} \) -infinity
B. a. cornea
b. convex lens
c. concave lens
d. \( 0-25 \mathrm{cm} \)
c. a. iris
b. converging lens
c. diverging lens
d. 0 -infinity
D. a. sclera
b. diverging lens c convex lens
d. infinity
Subject: Maths
Use graph paper for this question. Take
\( 2 c m=2 \) units on \( x \) -axis and \( 1 c m=1 \)
unit on \( y \) -axis. Solve graphically the following
equations:
\( 3 x+5 y=12 ; 3 x-5 y+18=0 \)
(Plot only three points per line)
A. \( x=-1 ; y=3 \)
в. \( x=-1 ; y=7 \)
c. \( x=-1 ; y=5 \)
D. \( x=-1 ; y=2 \)
Subject: Chemistry
Standard entropies of \( X_{2}, Y_{2} \) and \( X Y_{3} \) are 60,40 and \( 50 \mathrm{JK}^{-1} \mathrm{mol}^{-1} \) respectively.
For the reaction:
\( \frac{1}{2} X_{2}+\frac{3}{2} Y_{2} \rightleftharpoons X Y_{3}, \Delta H=-30 \mathrm{kJ} \) to
be at equilibrium, the temperature should be:
\( A \cdot \) 750 \( \kappa \)
B. 1000
c. \( 1250 \mathrm{k} \)
D. 500 K
Subject: Physics
An artificial satellite revolves around
the earth in a circular orbit with a speed
v. If \( m \) is the mass of the satellite, its
total energy is :
A \( \cdot \frac{1}{2} m v^{2} \)
B. \( -\frac{1}{2} m v^{2} \)
\( \mathrm{c} \cdot-m v^{2} \)
D. \( \frac{3}{2} m v^{2} \)
Subject: Physics
The initial velocity of the particle is 10 \( m \) sec and its retardation is \( 2 m / s^{2} . \) The distance moved by the particle is 5 th second of its motion is :
A. \( 1 m \)
в. \( 19 m \)
\( c .50 m \)
D. \( 75 m \)
Subject: Physics
A converging beam of rays is incident on a diverging thin lens. Having passed through the lens the ray intersect at a point \( 15 \mathrm{cm} \) from the lens. If lens is removed the point where the rays meet will move \( 5 \mathrm{cm} \) closer towards the
mounting that holds the lens. The focal length of lens is
A. \( f=10 \mathrm{cm} \)
B. \( f=15 \mathrm{cm} \)
c. \( f=30 c m \)
D. \( f=40 c m \)
Subject: Maths
Identify the type of set \( \boldsymbol{B}=\{\boldsymbol{x}: \boldsymbol{x} \boldsymbol{\epsilon} \boldsymbol{W}, \boldsymbol{x}=\boldsymbol{2} \boldsymbol{n}\} \)
A. Finite Set
B. Null Set
c. Infinite Set
D. singleton set
Subject: Chemistry
Which among the following reactions is an example of instantaneous reaction under normal condition?
A \( .2 H_{2}+O_{2} \rightarrow 2 H_{2} O \)
в. \( N_{2}+O_{2} \rightarrow 2 N O \)
c. \( N a O H+H C l \rightarrow N a C l+H_{2} O \)
D. \( C_{12} H_{22} O_{11}+H_{2} O \rightarrow C_{6} H_{12} O_{6}+C_{6} H_{12} O_{6} \)
Subject: Physics
A glass marble dropped from a certain height above the horizontal surface reaches the surface in time \( t \) and then
continues to bounce up and down. The time in which the marble finally comes to rest will be (coefficient of restitution
is \( e \) ):
A \( \cdot e^{n} t \)
B \( \cdot e^{2} t \)
\( ^{\mathbf{c}} \cdot t\left[\frac{1+e}{1-e}\right] \)
D. \( t\left[\frac{1-e}{1+e}\right] \)
Subject: Maths
State whether the following statement is True or False
If \( \boldsymbol{U}=\{\mathbf{1}, \mathbf{2}, \mathbf{3}, \mathbf{4}, \mathbf{5}, \mathbf{6}, \mathbf{7}\} \) and \( \boldsymbol{A}= \)
\( \{5,6,7\}, \) then \( U \) is the subset of \( A \)
A. True
B. False
Subject: Maths
\( \frac{x^{2}}{r^{2}-r-6}+\frac{y^{2}}{r^{2}-6 r+5}=1 \) will
represents the ellipse, if r lies in the interval:
This question has multiple correct options
B. \( (3, \infty) \)
\( c \cdot(5, \infty) \)
D. \( (1, \infty) \)
Subject: Physics
A ball of mass \( m \) moving at a speed \( v \)
collides with another ball of mass \( 3 \mathrm{m} \) at
rest. The lighter block comes to rest after collision. The coefficient of
restitution is-
A \( \cdot \frac{1}{2} \)
B. \( \frac{2}{3} \)
\( c \cdot \frac{1}{4} \)
D. None of these.
Subject: Maths
If \( \boldsymbol{A}=\left[\begin{array}{cc}-\mathbf{4} & -\mathbf{1} \\ \mathbf{3} & \mathbf{1}\end{array}\right], \) then the determinant
of the matrix \( \left(A^{2016}-2 A^{2015}-A^{2014}\right) \)
is:
A. -175
в. 2014
\( c .2016 \)
D. -25
Subject: Chemistry
Assertion
\( A l(O H)_{3} \) is amphoteric in nature.
Reason
It cannot be used as an antacid.
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
The specific conductance at \( 298 \mathrm{K} \) of AgCl solution In water was determined
to be \( 1.826 \times 10^{-6} \) ohm \( ^{-1} \mathrm{cm}^{-1} . \) The ionic
conductances \( A g^{+} \) and \( C l^{-} \) are 61.92 and 76.34 respectively. What is the solubility of AgCl in water?
A \( \cdot 2.1 \times 10^{-4} \mathrm{gL}^{-1} \)
B . \( 1.32 \times 10^{-5} \mathrm{gL}^{-1} \)
c. \( 1.9 \times 10^{-3} \mathrm{gL}^{-1} \)
D. 2.1 \( \times 10^{-6} \mathrm{gL}^{-1} \)
Subject: Physics
The relationship between \( Y, \eta \) and \( \sigma \) is
\( \mathbf{A} \cdot Y=2 \eta(1+\sigma) \)
B \( . \eta=2 Y(1+\sigma) \)
c. \( \sigma=\frac{2 Y}{(1+\eta)} \)
D. \( Y=\eta(1+\sigma) \)