AkshitPareek2004/jee-question-analyzer-data huggingface dataset:
Subject: Chemistry
The fluoride of \( x e n o n \) with zero dipole
moment is :
This question has multiple correct options
A \( \cdot \mathrm{xeF}_{6} \)
в. \( \mathrm{xeO}_{3} \)
c. \( \mathrm{xeF}_{4} \)
D. XeF \( _{2} \)
Subject: Physics
A wire carrying \( 5.0 ~ V \) is applied to a
transformer. The primary coil has 5 turns and the secondary coil has 10 turns.
A . \( 0.50 V \)
B. \( 5.0 V \)
c. \( 10 V \)
D. \( 50 V \)
E . \( 100 V \)
Subject: Physics
The ratio of the secondary to the primary turns in a transformer is 3: 2
and the output power is \( P . \) Neglecting
all power losses, the input power must be
A \( \cdot \frac{2 P}{3} \)
в. \( \frac{3 P}{2} \)
c. \( \frac{P}{2} \)
D. \( P \)
Subject: Physics
Q Type your question
uniform field between the parallel
plates as shown in figure. Assume that
the field between the plates is uniform
and directed vertically downward, and
that the field outside the plates is zero. The electron enters the field at a point
midway between the plates. Mass of electron is \( 9.1 \times 10^{-31} k g . \) If the electron
just misses the upper plate, the time of flight of the electron up to this instant is :
A \( \cdot 1.25 \times 10^{-9} s \)
в. \( 32.5 \times 10^{-6} s \)
C \( \cdot 1.25 \times 10^{-10} s \)
D. \( 32.5 \times 10^{-8} s \)
Subject: Chemistry
Which of the following compounds is a soap?
A \( \cdot C H_{3}\left(C H_{2}\right)_{16} C O N a \)
в. \( C H_{3}\left(C H_{2}\right)_{16} \)СООМа
c. \( C H_{3}\left(C H_{2}\right)_{16} C O O H \)
D. \( C H_{3}\left(C H_{2}\right)_{16} C O O C H_{3} \)
Subject: Maths
An example of G.P. is
A \( \cdot-1, \frac{1}{2}, \frac{1}{4}, \frac{1}{8} \dots \)
в. \( -1, \frac{3}{2}, \frac{1}{2},-\frac{1}{2} \)
c. \( _{1, \frac{1}{2}, \frac{1}{4}, \frac{1}{6} \ldots} \)
D. \( 1, \frac{1}{2}, \frac{1}{4}, \frac{1}{8} \ldots \)
Subject: Maths
Find the median for the grouped data
given below:
\( \begin{array}{lllll}\text { Marks } & 50- & 60- & 70- & 80 \\ & 60 & 70 & 80 & 9000\end{array} \)
Students 3. 3 4
A. 53.75
в. 63.75
c. 73.75
D. 83.75
Subject: Maths
The three point \( \boldsymbol{A}(\mathbf{0}, \mathbf{0}, \mathbf{0}), \boldsymbol{B}(\mathbf{2},-\mathbf{3}, \mathbf{3}), \boldsymbol{C}(-\mathbf{2}, \mathbf{3},-\mathbf{3}) \) are
collinear. Find in what ratio each point
divides the segment joining other two
Subject: Maths
n the fig, if the lines \( P Q \) and \( R S \)
intersect at point \( T \) such that \( \angle P R T= \)
\( 40^{\circ}, \angle R P T=92^{\circ} \) and \( \angle T S Q=70^{\circ} \)
find \( \angle S Q T \) (in degrees)
Subject: Physics
There is a -ve charge - \( q \) as shown in the
figure. Take the potential to be zero at
infinity. If \( A \) and \( B \) are two points in the
charge's vicinity, then the potential at-
\( \mathbf{A} \)
\( \mathbf{B} \)
\( -\mathbf{q} \)
This question has multiple correct options
\( \mathbf{A} \cdot A \) is less than at \( B \)
B. \( A \) is more than that at \( B \)
C. \( A \) is greater in magnitude than at \( B \)
D. \( A \) is smaller in magnitude than at \( B \)
Subject: Maths
Let \( x_{1}, x_{2}, \dots \dots \dots, x_{n} \) be n observations such that \( \sum x_{i}^{2}=400 \) and \( \sum x_{i}=80 \) Then a possible value of \( n \) among the following is
A . 15
B. 18
\( c \cdot 9 \)
D. 12
Subject: Physics
An e.m.f. of 5 millivolt is induced in a
coil when in a nearby placed another coil, the current changes by 5 ampere in
0.1 second. The coefficient of mutual
induction between the two coils will be :
A. 1 Henry
B. 0.1 Henry
c. 0.1 millihenry
D. 0.001 millihenry
Subject: Chemistry
\( \mathrm{H}_{2} \mathrm{SO}_{4}(\mathrm{aq})+\mathrm{Ba}(\mathrm{OH})_{2}(\mathrm{aq}) \rightarrow \)
In the above reaction, the products are:
I. \( \mathrm{O}_{2}(g) \)
II. \( \mathrm{H}_{2} \mathrm{O}(1) \)
III. \( \operatorname{BaSO}_{4}(s) \)
\( A \)
в. III
c. I and ॥
D. I and III
E. Il and III
Subject: Biology
According to an accepted model of plasma membrane, transport during 'symport' or 'co-transport' of sugar or amino acids through cell membrane is when
A. Nat ions move in both directions irrespective of concentration gradient
B. Nat ions moves in the direction of its concentration gradient.
c. \( \mathrm{Na}^{+} \) ions moves against the direction of its concentration gradients.
D. No movement of Nat ions is involved.
Subject: Chemistry
Assertion
In metallurgy calcination use for
purification of metals
Reason
Calcination is a chemical process wherein a carbonate ore or an oxide ore
is strongly heated in the absence of air, to decompose it to remove volatile
matter and moisture.
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 incorrect but Reason is correct
D. Both Assertion and Reason are incorrect
Subject: Physics
A steel wire can support a maximum
load of \( W \) before reaching its elastic limit. How much load can another wire,
made out of identical steel, but with a
radius one half the radius of the first wire, support before reaching its elastic limit.?
\( \mathbf{A} \cdot W \)
в. \( \frac{W}{2} \)
c. \( \frac{w}{4} \)
D. \( 4 W \)
Subject: Chemistry
Which of the following is not a good method to prepare tert-butyl methyl ether?
A \( \cdot\left(C H_{3}\right)_{3} C O^{-} N a^{+}+C H_{3} B r \rightarrow \)
B. \( \left(C H_{3}\right)_{3} C B r+C H_{3} O^{-} N a \rightarrow \)
C. \( H_{2} C=C\left(C H_{3}\right)_{2}+C H_{3} O H \stackrel{H^{+}}{\longrightarrow} \)
D. All of these
Subject: Chemistry
What is \( X \), in the following reaction?
\( \boldsymbol{K} \boldsymbol{H} \boldsymbol{S} \boldsymbol{O}_{4}+\boldsymbol{F}_{2} \rightarrow \boldsymbol{H} \boldsymbol{F}+\boldsymbol{X} \)
A. \( K_{2} S O_{4} \)
в. \( K_{2} S_{2} O_{4} \)
\( \mathbf{c} \cdot K_{2} S_{2} O_{3} \)
D. \( K_{2} S_{2} O_{8} \)
Subject: Physics
10 g of ice at \( 0^{\circ} C \) absorbs 5460 J of heat energy to melt and change to water
at \( 50^{\circ} \mathrm{C} \). Calculate the specific latent heat of fusion of ice. Specific heat capacity of water is \( 4200 J k g^{-1} K^{-1} \)
A \( \cdot 2168 J g^{-1} \)
B. \( 336 J g^{-1} \)
\( \mathbf{c} \cdot 43.36 J g^{-1} \)
D. \( 21.68 J g^{-1} \)
Subject: Maths
Integrate \( \frac{\tan ^{4} \sqrt{x}+\sec ^{2} \sqrt{x}}{\sqrt{x}} \)
The solution is \( \frac{2 \tan ^{3}(\sqrt{x})}{m}- \)
\( 2 \tan \sqrt{x}+2 \sqrt{x}+2 \tan \sqrt{x}+C . \) Find \( m \)
Subject: Maths
The factors of \( 1-p^{3} \) are
A \( \cdot(1-p)\left(1+p+p^{2}\right) \)
B \( \cdot(1+p)\left(1-p-p^{2}\right) \)
C . \( (1+p)\left(1+p^{2}\right) \)
D. \( (1+p)\left(1-p^{2}\right) \)
Subject: Chemistry
In the reaction \( \boldsymbol{I}^{\oplus}+\boldsymbol{I}_{2} \rightarrow \boldsymbol{I}_{3}^{\ominus}, \) the lewis
acid is:
\( \mathbf{A} \cdot I_{2} \)
B . \( I^{\oplus} \)
\( c \cdot I_{3}^{0} \)
D. \( I_{3}^{\text {o }} \) and \( I_{2} \)
Subject: Physics
Consider the satellites revolving round the earth at different heights.The ratio of their orbital speed is 3: 2 . If one of them is at a height of \( 200 \mathrm{Km} \), the height of the other satellite is (Radius of the earth is \( R=6400 \mathrm{Km} \)
A. \( 8450 K m \)
в. 845 Кт
c. \( 84.5 K m \)
D. \( 84500 K m \)
Subject: Chemistry
\( \boldsymbol{C}(s)+\boldsymbol{O}_{2}(\boldsymbol{g}) \rightarrow \boldsymbol{C} \boldsymbol{O}_{2},(\boldsymbol{g}) ; \boldsymbol{\Delta} \boldsymbol{H}= \)
\( -\mathbf{9 4 . 3} \) kcal/mol \( C O(g)+\frac{1}{2} O_{2}(g) \rightarrow C O_{2}(g) ; \Delta H= \)
\( -\mathbf{6 7 . 4} \) kcal/mol
\( O_{2}(g) \rightarrow 2 O(g) ; \Delta H=117.4 \mathrm{kcal} / \mathrm{mol} \)
\( \boldsymbol{C O}(\boldsymbol{g}) \rightarrow \boldsymbol{C}(\boldsymbol{g})+\boldsymbol{O}(\boldsymbol{g}) ; \boldsymbol{\Delta} \boldsymbol{H}=\mathbf{2 3 0 . 6} \)
kcal/mol
Calculate \( \Delta \boldsymbol{H} \) for \( \boldsymbol{C}(\boldsymbol{s}) \rightarrow \boldsymbol{C}(\boldsymbol{g}) \) in
kcal/mol
A . 17.1
В. 154
\( c \cdot 117 \)
D. 145
Subject: Chemistry
A chemist while studying the properties
of gaseous \( C_{2} C l_{2} F_{2}, \) a chlorofluorocarbon refrigerant cooled a \( 125 \mathrm{g} \) sample at constant atmospheric pressure of 1.0 atm from 320 to 293 K.
During cooling, the sample volume decreased from 274 to 284 mL.
Calculate \( \Delta H \) and \( \Delta U \) for the
chloroflurocarbon for this process. For
\( \boldsymbol{C a C l}_{2} \boldsymbol{F}_{2}, \boldsymbol{C}_{\boldsymbol{p}}=-\mathbf{8 0 . 7} \boldsymbol{J} / \boldsymbol{m o l} \boldsymbol{K} \)
Subject: Physics
Passengers in the jet transport \( \boldsymbol{A} \) flying east at a speed of \( 800 k m / h \) observe a
second jet plane \( B \) that passes under
the transport in horizontal flight

Although the nose of \( B \) is pointed in the
\( 45^{\circ} \) northeast direction, plan \( B \) appears
to the passengers in \( A \) to be moving
away from the transport at the \( 60^{\circ} \)
angle as shown in the fig. The true
velocity of \( \boldsymbol{B} \) is
A. \( 586 k m / h \)
в. \( 400 \sqrt{2} k m / h \)
c. \( 717 k m / h \)
D. \( 400 k m / h \)
Subject: Chemistry
The reaction,
\( \mathbf{2} N \boldsymbol{O}(\boldsymbol{g})+\boldsymbol{O}_{2}(\boldsymbol{g}) \leftrightharpoons \mathbf{2} \boldsymbol{N} \boldsymbol{O}_{2}(\boldsymbol{g}) \) is first
order. If volume of reaction vessel is reduced to \( \frac{1}{3}, \) the rate of reaction would
be:
A \( \cdot \frac{1}{3} \) times
B. \( \frac{2}{3} \) times
c. 3 times
D. 6 times
Subject: Physics
An object is placed \( 25 \mathrm{cm} \) from a convex lens whose focal length is \( 10 \mathrm{cm} . \) The image distance is
A. \( 50 \mathrm{cm} \)
B. \( 16.66 \mathrm{cm} \)
c. \( 6.66 \mathrm{cm} \)
D. \( 10 \mathrm{cm} \)
Subject: Maths
Suppose \( A_{1}, A_{2}, \dots, A_{30} \) are thirty sets each having 5 elements and
\( B_{1}, B_{2}, \dots, B_{n} \) are n sets each with 3 elements. Let \( \bigcup_{i=1}^{30} A_{i}=\bigcup_{j=1}^{n} B_{j}=S \) and
each elements of \( S \) belongs to exactly 10
of the \( A_{i} \) and exactly 9 of the \( B_{j} . \) Then \( n \)
is equal to-
A . 35
B. 45 5
\( c .55 \)
D. 65
Subject: Physics
Q Type your question
makes an angle of \( 45^{\circ} \) with the
horizontal; the wall AB is normal to the
base BC. The lengths AB and CD are much smaller than the height h of water (figure not to scale)
Let \( P_{1}, P_{2} \$ 4 a n d P_{-} 3 \$ \$ \) be the
pressures excreted by the water on the
wall \( A B, \) base \( B C \) and the wall \( C D \)
respectively. Density of water is p and \( g \) is acceleration due to gravity. Then,
approximately
A \( . P_{1}=P_{2}=P_{3} \)
B . \( P_{1}=0 P_{3}=\frac{1}{\sqrt{2}} P_{2} \)
C \( \cdot P_{1}=P_{3}=\frac{1}{\sqrt{2}} P_{2} \)
D. \( P_{1}=P_{3}=0, P_{2}=h p g \)
Subject: Physics
Assertion
One will need a very powerful crane to lift a nuclear mass of even microscopic
size.
Reason
The density of nucleus is very high.
Read the above assertion and reason
and choose the correct option regarding
¡t.
A. The Assertion is correct but Reason is wrong
B. The Assertion is wrong but Reason is correct
c. Both Assertion and Reason are correct and Reason is the correct explanation of Assertion
D. Both Assertion and Reason are correct but Reason is not the correct explanation of Assertion
Subject: Physics
Assertion
Inductance coils are made of copper.
Reason

Induced current is more in wire having
less resistance.
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 steel wire is \( 1 \mathrm{m} \) long and \( 1 \mathrm{mm}^{2} \) in the
area of cross-section. If it takes \( 200 N \)
to stretch the wire by 1 m \( m \), the force that will be required to stretch the wire of the same material and cross-
sectional area from a length of \( 10 m \) to
\( 1002 \mathrm{cm} \)
A. \( 100 N \)
B. \( 200 N \)
c. \( 400 N \)
D. 2000N
Subject: Maths
Find the eccentricity of the conic represented by \( \boldsymbol{x}^{2}-\boldsymbol{y}^{2}-\boldsymbol{4} \boldsymbol{x}+\boldsymbol{4} \boldsymbol{y}+ \)
\( \mathbf{1 6}=\mathbf{0} \)
A \( \cdot \sqrt{2} \)
B. \( \sqrt{3} \)
\( c \cdot-\sqrt{2} \)
D. \( -\sqrt{3} \)
Subject: Chemistry
At \( 700 K \), equilibrium constant for the reaction: \( \boldsymbol{H}_{2}(\boldsymbol{g})+\boldsymbol{I}_{2}(\boldsymbol{g}) \rightleftharpoons 2 \boldsymbol{H} \boldsymbol{I}(\boldsymbol{g}) \) is
64. If 0.5 mol \( L^{-1} \) of \( H I(g) \) is present at
equilibrium at \( 700 K \), what are the
concentration of \( \boldsymbol{H}_{2}(\boldsymbol{g}) \) and \( \boldsymbol{I}_{2}(\boldsymbol{g}) \)
assuming that we initially started with \( H I(g) \) and allowed it to reach equilibrium at \( 700 K ? \)
A. \( 0.0625 M \)
в. 0.034 М
\( c .0 .136 M \)
D. \( 0.68 M \)
Subject: Maths
The package's velocity at the instant the parachute opens is (approximately nearest whole number)
A. \( 84 \mathrm{m} / \mathrm{s} \)
B. \( 82 \mathrm{m} / \mathrm{s} \)
\( c \cdot 89 \mathrm{m} / \mathrm{s} \)
D. \( 92 \mathrm{m} / \mathrm{s} \)
Subject: Chemistry
Select correct statement(s) regarding
given complexes:
\( \mathbf{A} \cdot\left[F e(C O)_{5}\right], \) the orbitals used for hybridization in \( \mathrm{Fe} \) atom are \( s, p_{x}, p_{y}, p_{z}, d_{z 2} \) and its is high spin complex
\( \mathbf{B} \cdot\left[P t\left(N H_{3}\right)_{2} C l_{2}\right], \) the orbitals used for hybridization on
Pt atom are \( s, p_{x}, p_{y}, d_{x^{2}-y^{2}} \) and it is low spin complex
C \( \cdot\left[\mathrm{Cr}\left(\mathrm{H}_{2} \mathrm{O}\right)_{6}\right]^{3+} \), the orbitals used for hybridization in \( \mathrm{Cr} \)
atom are \( s, p_{x}, p_{y}, p_{z}, p_{x^{2}}, d_{x^{2}-y^{2}} \) and it is high spin complex
D. \( N i(C O)_{4} \), the orbitals used for hybridization in \( \mathrm{Ni} \) atom are, \( s, p_{x}, p_{y}, p_{z}, \) and it is low spin complex
Subject: Physics
Charges \( -\boldsymbol{q}, \boldsymbol{Q} \) and \( -\boldsymbol{q} \) are placed at an equal distance on a straight line. If the
total potential energy of the system of three charges is zero, then find the ratio \( \boldsymbol{Q} / \boldsymbol{q}: \)
A. \( 1 / 2 \)
в. \( 1 / 4 \)
\( c \cdot 2 / 3 \)
D. \( 3 / 4 \)
Subject: Physics
The electrostatic potential energy of two point charges, \( 1 \mu C \) each, placed 1 meter apart in air is?
\( \begin{array}{l}\text { A } \cdot 9 \times 10^{3} \\ \text { j }\end{array} \times 10^{\times 10} \)
В. \( 9 \times 10^{9} \),
Subject: Maths
If \( \boldsymbol{y}=\boldsymbol{a} \cos (\log \boldsymbol{x})+\boldsymbol{b} \sin (\log \boldsymbol{x}) \) then
prove that \( \boldsymbol{x}^{2} \frac{\boldsymbol{d}^{2} \boldsymbol{y}}{\boldsymbol{d} \boldsymbol{x}^{2}}+\boldsymbol{x} \frac{\boldsymbol{d} \boldsymbol{y}}{\boldsymbol{d} \boldsymbol{x}}+\boldsymbol{y}=\boldsymbol{0} \)
Subject: Maths
The sine of the angle between the vectors \( \bar{i}+3 \bar{j}+2 \bar{k} \) and \( 2 \bar{i}-\overline{4 j}+\bar{k} \) is
A. \( \sqrt{\frac{155}{1.56}} \)
В. \( \sqrt{\frac{115}{116}} \)
c. \( \sqrt{\frac{115}{147}} \)
D. \( \sqrt{\frac{\sqrt{5}}{188}} \)
Subject: Physics
The length of a wire is increased by
1 \( m m \) on the application of a given load In a wire of the same material, but of length and radius twice that of the first, on application of the same load, extension is
A. \( 0.25 \mathrm{mm} \)
в. \( 0.5 \mathrm{mm} \)
\( \mathrm{c} .2 \mathrm{mm} \)
D. \( 4 \mathrm{mm} \)
Subject: Biology
Select the correct combination of the statements (i - iv) regarding the characteristics of certain organisms.
(i) Methanogens are archaebacterial which produces methane in marshy
areas
(ii) Nostoc is a filamentous blue-green alga which fixed atmospheric nitrogen.
(iii) Chemosynthetic autotrophic bacteria synthesize cellulose from glucose.
(iv) Mycoplasma lacks a cell wall and can survive without oxygen.
A . (ii) and (iii)
B. (i), (ii) and (iii)
c. (ii), (iii) and (iv)
D. (i), (ii) and (iv)
Subject: Maths
A parallelogram is cut by two set of \( \boldsymbol{m} \)
lines parallel to its sides. The number of
parallelogram thus force is
A \( \cdot\left(^{m} C_{2}\right)^{2} \)
B. \( \left(^{m+1} C_{2}\right)^{2} \)
\( \mathbf{c} \cdot\left(^{m+2} C_{2}\right)^{2} \)
D. \( m+1 C_{2} \)
Subject: Maths
3 geometric means between \( \frac{1}{9} \) and 9 is
A \( \cdot \frac{2}{3}, 1,3 \)
в. \( \frac{1}{3}, 2,3 \)
c. \( \frac{1}{3}, 1,6 \)
D. \( \frac{1}{3}, 1,3 \)
Subject: Maths
Instead of walking along two adjacent sides of a rectangular field,a boy book a short - cut along the diagonal of the field and saved a distance equal to \( 1 / 2 \)
the longer side. The ratio of the shorter side of the rectangle to the longer side
was:
\( A \)
B.
\( c \cdot \frac{1}{4} \)
0.3
\( E \)
Subject: Physics
The mass of a beaker is found to be
\( \mathbf{1 0 . 1} \pm \mathbf{0 . 1} \) ) gm when empty and
\( (17.3 \pm 0.1) g m \) when partially filled
with a liquid. What is the best value for the mass of the liquid together with the possible limits of accuracy?
A \( .(7.2 \pm 0.2) g m \)
в. \( (7.2 \pm 0.1) g m \)
\( \mathbf{c} .(7.1 \pm 0.2) g m \)
D. \( (7.2 \pm 0.3) g m \)
Subject: Physics
A particle of mass \( \mathrm{M} \) is situated at the
center of a spherical shell of same mass and radius a. The gravitational potential
at a point situated at \( \frac{a}{2} \) distance from
the centre, will be
\( \mathbf{A} \cdot-\frac{3 G M}{a} \)
B. \( -\frac{2 G M}{a} \)
\( \mathbf{c} \cdot-\frac{G M}{a} \)
\( \mathrm{D} \cdot-\frac{4 G M}{a} \)
Subject: Maths
In the given figure, ABCD is a
parallelogram in which \( \angle D A B=75^{\circ} \)
and \( \angle \mathrm{DBC}=60^{\circ} \) then the measure of \( \angle \)
BDC is equal to?
\( A \cdot 75^{\circ} \)
B. \( 60^{\circ} \)
\( c \cdot 45^{\circ} \)
D. 55
Subject: Physics
When at rest, a liquid stands at the
same level in the tubes as shown in the
figure. But as indicated, a height
difference \( h \) occurs when the system is given an acceleration \( a \) towards the
right. Then \( h \) is equal to
\( ^{A} \cdot \frac{a L}{2 g} \)
в. \( \frac{g L}{2 a} \)
c. \( \frac{g L}{a} \)
D. \( \frac{a L}{q} \)
Subject: Chemistry
During the working of a galvanic cell and with the passage of time:
This question has multiple correct options
A. spontaneity of the cell reaction decreases, \( E_{c c l} \) decreases
B. reaction quotient Q decreases, E \( _{\text {cell } \text {increases }} \)
C . reaction quotient \( Q \) increases, \( E_{c e l l} \) decreases
D. at equilibrium, \( Q=K_{e q}, E_{c e l l}=0 \)
Subject: Physics
A curved road of diameter \( 1.8 \mathrm{km} \) is
banked so that no friction is required at
a speed of \( 30 m / s . \) What is the banking
angle?
A \( \cdot 6 \)
B. 16
\( c \cdot 26 \)
D. \( 0.6^{\circ} \)
Subject: Maths
The work done by a body on application of a constant force is directly
proportional to the distance traveled by the body. Express this in the form of an equation in two variables and draw the graph of the same by taking the
constant force as 5 units. Read from the
graph, the work done when the distance traveled by the body is 0 units.
A. 0 units
B. 2 units
c. 1 units
D. 3 units
Subject: Physics
Two trains depart from one station, one
going north at 30.00 miles per hour, and another going west, steadily accelerating with a rate of 0.3333 miles per minute How many minutes after departure would the two trains be 50.00 miles
apart?
A. 10.96 min
B. 76.28 min
c. 89.54 min
D. 120.0 min
E . 240.0 min
Subject: Maths
If the quotient on dividing, \( 8 x^{4}-2 x^{2}+ \)
\( 6 x-7 \) by \( 2 x+1 \) is \( 4 x^{3}+p x^{2}-q x+3 \)
then find \( \boldsymbol{q}-\boldsymbol{p} \)
Subject: Chemistry
Which of the following gives the maximum number of isomers?
\( \mathbf{A} \cdot\left[\operatorname{Co}\left(N H_{3}\right)_{4} C l_{2}\right] \)
B . \( \left[N i(e n)\left(N H_{3}\right)_{4}\right]^{2+} \)
\( \mathbf{c} \cdot\left[N i\left(C_{2} O_{4}\right)(e n)_{2}\right] \)
D. \( \left[C r(S C N)_{2}\left(N H_{3}\right)_{4}\right]^{+} \)
Subject: Physics
The potential difference between the
ends of a resistance \( \mathrm{R} \) is \( V_{R}, \) between
the ends of capacitor is \( V_{C}=2 V_{R} \) and
between the ends of inductance is \( V_{L}= \)
\( 3 V_{R} \) then the alternating potential of
the source in terms of \( V_{R} \) will be:
A \( \cdot \sqrt{2} V_{R} \)
в. \( V_{R} \)
c. \( \frac{V_{R}}{\sqrt{2}} \)
D. \( 5 V_{R} \)
Subject: Maths
A circle has two equal chords \( \$ \$ P Q \$ \$ \) and \( \$ \$ P R \$ \$ \)
diameter \( \$ \$ P D \$ \$ \) cuts \( \$ \$ Q R \$ \$ \) in \( \$ \$ E \)
\( \$ \$ . \) If \( P R=12 c m \) and \( P E=8 c m, \) then
the length of \( \$ \$ \) PD \( \$ \$ \) is \( ? \)
\( \mathbf{A} \cdot 25 \mathrm{cm} \)
B . \( 22 \mathrm{cm} \)
c. \( 20 \mathrm{cm} \)
D. \( 18 \mathrm{cm} \)
Subject: Physics
If \( \lambda_{m} \) denotes the wavelength at which the radioactive emission from a black
body at a temperature \( T K \) is maximum then:
A. \( \lambda \) is independent of \( T \)
в. \( \lambda_{m} \propto T \)
\( \mathbf{c} \cdot \lambda_{m} \propto T^{-1} \)
D. \( \lambda_{m} \propto T^{-4} \)
Subject: Physics
Two masses \( m_{1} \) and \( m_{2} \) are connected
to a spring of spring constant \( K \) at two
ends. The spring is compressed by \( y \) and released. The distance moved by
\( m_{1} \) before it comes to a stop for the first time is
A. \( \frac{m_{1} y}{m_{1}+m_{2}} \)
в. \( \frac{m_{2} y}{m_{1}+m_{2}} \)
c. \( \frac{2 m_{1} y}{m_{1}+m_{2}} \)
D. \( \frac{2 m_{2} y}{m_{1}+m_{2}} \)
Subject: Physics
Which of the following statements are
true:
A: Charge cannot exist without mass but mass can exist without charge
B: Charge is invariant but mass varies
with velocity
C: Charge is conserved but mass alone
may not be conserved
\( A \cdot A, B, C \) are true
B. A, B, C are not true
c. \( A, B \) are only true
D. \( A, B \) are false, \( C \) is true
Subject: Chemistry
Carbon cannot be used in the reduction
of \( A l_{2} O_{3} \) because:
A. It is expensive
B. The enthalpy of formation of \( C O_{2} \) is more than that of \( A l_{2} O_{3} \)
C. Pure carbon is not easily available
D. The enthalpy of formation of \( A l_{2} O_{3} \) is too high
Subject: Maths
Verify Lagrange's mean value theorem for the following function on the indicated interval. In each case find a
point \( ^{\prime} c^{\prime} \) in the indicated interval as stated by the Lagrange's mean value theorem:
\( \boldsymbol{f}(\boldsymbol{x})=\sqrt{\mathbf{2 5}-\boldsymbol{x}^{2}} \) on \( [-\mathbf{3}, \boldsymbol{4}] \)
Subject: Physics
A beam of unpolarised light passes through a tourmaline crystal \( A \) and
then through another such crystal \( B \)
oriented so that the principal plane is
parallel to \( A \). The intensity of emergent
light is \( I . \) If \( A \) now rotated by \( 45^{\circ} \) in a
plane perpendicular to direction of the incident ray. The emergent light will have intensity.
A \( \cdot \frac{I}{2} \)
B. \( \frac{I}{\sqrt{2}} \)
c. \( I \)
D. \( \frac{I}{4} \)
Subject: Maths
The probability that at least one of the
events \( A \) and \( B \) occurs is \( 0.6, \) If \( A \) and \( B \)
occur simultaneously with probability
0.2, then \( \boldsymbol{P}(\overline{\boldsymbol{A}})+\boldsymbol{P}(\overline{\boldsymbol{B}}) \) is
A. 0.4
B. 0.8
\( c \cdot 1.2 \)
D. 1.4
Subject: Physics
Consider a light source placed at a
distance of \( 1.5 m \) along the axis facing the convex side of a spherical mirror of
radius of curvature 1 m. The position \( \left(s^{\prime}\right. \)
nature and magnification \( (m) \) of the image are
A \( \cdot s^{\prime}=0.375 m, \) Virtual, upright, \( m=0.25 \)
B . \( s^{\prime}=0.375 m \), Real, inverted, \( m=0.25 \)
C . \( s^{\prime}=3.75 m, \) Virtual, upright, \( m=2.5 \)
D. \( s^{\prime}=3.75 m \), Real, upright, \( m=2.5 \)
Subject: Biology
If the foetus is \( \mathrm{Rh}^{+} \) and mother is \( \mathrm{Rh}^{-} \)
then which of the following situation is likely to happen?
A. Foetus might transmit antigen to mother's blood
B. Foetus might transmit antibody to mother's blood
c. Foetus is attacked by the antibodies of mother's blood
D. Foetus is attacked by the antigen of mother's blood