AkshitPareek2004/jee-question-analyzer-data huggingface dataset:
Subject: Chemistry
At \( 90^{\circ} \mathrm{C} \), the vapour pressure of toluene is 400 torr and that of \( \sigma-x y \) lene is
150 torr. What is the composition of the
liquid mixture the boils at \( 90^{\circ} \mathrm{C}, \) when
the pressure is 0.50 atm? What is the composition of vapour produced?
A. Toluene 8 mol\%, Toluene=3.2 mol\%
B. Toluene 15mol\%, Toluene=36 mol\%
c. Toluene 85 mol\%, Toluene=64 mol\%
D. Toluene 92 mol\%, Toluene \( =96.8 \mathrm{mol\%} \)
Subject: Maths
If \( (1+x)^{n}=\sum_{i=0}^{n} C_{i} x^{i}, \) then the sum of
the products of \( C_{i} \) 's taken two at a time is represented by \( \sum_{0 \leq i \leq j \leq n} C_{i} C_{j} \)
A \( \cdot 2^{n}-\frac{(2 n) !}{2(n !)^{2}} \)
B. \( 2^{n}+\frac{(2 n) !}{2(n !)^{2}} \)
c. \( \frac{1}{2}\left(2^{2 n}+\frac{(2 n) !}{(n !)^{2}}\right) \)
D. \( \frac{2^{2 n}}{2(n !)^{2}} \)
Subject: Physics
A plane progressive wave has frequency \( 25 H z \) and amplitude \( 2.5 \times 10^{-5} \mathrm{m} \) and
initial phase zero, propagates along the negative x-direction with a velocity of \( \mathbf{3 0 0 m} / \)s. The phase difference
between the oscillations at two points \( 6 m \) apart along the line of propagation is :
\( A \)
в. \( \frac{\pi}{2} \)
c. \( 2 \pi \)
D. \( \frac{\pi}{4} \)
Subject: Physics
The force between two magnetic poles is \( F \) when they are separated by certain distance. If the distance between the two
poles is doubled and strength of each pole is tripled. The percentage change in the force between the two poles is :
A. \( 125 \% \)
B. \( 100 \% \)
c. \( 50 \% \)
D. \( 25 \% \)
Subject: Maths
If \( a, b, c \) be in \( A P, \) and \( a^{2}, b^{2}, c^{2} \) are in \( H \)
\( P ., \) then
\( \mathbf{A} \cdot a+b=c \)
B. \( b+c=a \)
c. \( c+a=b \)
\( \mathbf{D} \cdot a b+b c+c a=0 \)
Subject: Chemistry
Assertion
\( P C l_{4} \) exists but \( N C l_{5} \) does not exist.
Reason
\( d- \) orbital in \( P \) -atom takes part in
chemical bonding, this lacks in \( N- \)
atom.
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
Relative permittivity of water is \( 81 . \) If \( \epsilon_{w} \)
and \( \epsilon_{0} \) are permittivities of water and
vacuum respectively, then :
A \( \cdot \epsilon_{0}=9 \epsilon_{w} \)
В . \( \epsilon_{0}=81 \epsilon_{w} \)
\( \mathbf{c} \cdot \epsilon_{w}=9 \epsilon_{0} \)
D. \( \epsilon_{w}=81 \epsilon_{0} \)
Subject: Chemistry
The balanced equations for : "Carbon dioxide is passed through a concentrated aqueous solution of sodium chloride saturated with
ammonia"
A \( \cdot \) NaCl \( +N H_{4} O H+C O_{2} \rightarrow N H_{4} C l+N a H C O_{3} \)
B . \( 2 \mathrm{NaCl}+\mathrm{NH}_{4} \mathrm{OH}+\mathrm{CO}_{2} \rightarrow \mathrm{NH}_{4} \mathrm{Cl}+2 \mathrm{NaH} \mathrm{CO}_{3} \)
c. \( N a C l+N H_{4} O H+C O_{2} \rightarrow N H_{4} C O+N a H C l_{3} \)
D. \( N a C l+N H_{4} O H+C O_{2} \rightarrow N H_{3}+N a C l+H_{2} C O_{3} \)
Subject: Physics
Consider a parallel plate capacitor with plates \( 20 \mathrm{cm} \) by \( 20 \mathrm{cm} \) and separated by \( 2 \mathrm{mm} . \) The dielectric constant of the material between the plates is 5.The plates are connected to a voltage source
of \( 500 \mathrm{V} \). The energy density of the field
between the plates will be close to
A \( \cdot 2.65 \mathrm{J} / \mathrm{m}^{3} \)
B . \( 1.95 \mathrm{J} / \mathrm{m}^{3} \)
C. 1.38 J \( / m^{3} \)
D. 0.69 J \( / m^{3} \)
Subject: Physics
The binding energy/nucleon of deuteron
\( \left(_{1} H^{2}\right) \) and the helium atom \( \left(_{2} H e^{4}\right) \) are
1.1 MeV and 7 MeV respectively. If the
two deuteron atoms fuse to form a
single helium atom, then the energy released is.
A \( .26 .9 \mathrm{MeV} \)
B . 25.8MeV
c. 23.6 Mev
D. \( 12.9 \mathrm{MeV} \)
Subject: Physics
A body of mass m moving with a velocity v is acted upon by a force. Write expression for change in
momentum when \( \boldsymbol{v} \rightarrow \boldsymbol{c} \)
\( \mathbf{A} \cdot m \Delta v \)
B . \( \Delta(m v) \)
c. \( v \Delta(m) \)
D. \( m v \)
Subject: Maths
The angle between the lines \( r \cos (\theta- \)
\( \boldsymbol{\alpha})=\boldsymbol{p}, \boldsymbol{r} \sin (\boldsymbol{\theta}-\boldsymbol{\alpha})=\boldsymbol{q} \) is
A \( \cdot \frac{\pi}{4} \)
в.
c. \( \frac{\pi}{2} \)
D. \( \frac{5 \pi}{12} \)
Subject: Maths
Assertion
The order of the differential equation, of
which \( \boldsymbol{x} \boldsymbol{y}=\boldsymbol{c} \boldsymbol{e}^{\boldsymbol{x}}+\boldsymbol{b} \boldsymbol{e}^{-\boldsymbol{x}}+\boldsymbol{x}^{\boldsymbol{2}} \) is a
solution, is 2
Reason
The differential equation is \( x \frac{d^{2} y}{d x^{2}}+ \) \( 2 \frac{d y}{d x}-x y+x^{2}-2=0 \)
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
How many total isomeric amines are possible having molecular formula
\( C_{4} H_{11} N \) which gives a bad smelling
compound with \( \boldsymbol{C} \boldsymbol{H} \boldsymbol{C l}_{3}+\boldsymbol{K} \boldsymbol{O H} ? \)
A. Five
B. Six
c. seven
D. Eight
Subject: Physics
The diagram below show a coil
connected to a centre zero
galvanometer \( G . \) The galvanometer
shows a deflection to the right when the
\( N \) -pole of a powerful magnet is moved
to the right as shown. Does the direction of the current in the coil appear
clockwise or anticlockwise viewed from
this end \( A ? \)
A. The direction of induced current at end \( A \) is anti clockwise
B. The direction of induced current at end \( A \) is clockwise
c. The direction of induced current at end \( A \) is firsts clockwise and then anticlockwise
D. The direction of induced current at end \( A \) cannot be determined
Subject: Maths
\( \sum_{0 \leq i \leq j \leq 10}^{10} C_{j}^{j} C_{i} \) is equal to
\( A \cdot 3^{10} \)
B. \( 3^{10}-1 \)
\( c \cdot 2^{10} \)
D. \( 2^{10}-1 \)
Subject: Physics
If a uniform beam of \( 1 \mathrm{m} \) is balanced as
shown above, what would be the
moment of force \( F \) about point \( W ? \)
\( \mathbf{A} \cdot 110 N \mathrm{cm} \)
в. \( 40 \mathrm{N} \mathrm{cm} \)
c. \( 220 \mathrm{N} \mathrm{cm} \)
D. \( 80 \mathrm{N} \) cm
Subject: Physics
Calculate the energy released in MeV
during the reaction \( _{3}^{7} L i+_{1}^{1} H \rightarrow \)
\( 2\left[\begin{array}{l}4 \\ 2\end{array} \boldsymbol{H} e\right] \) if the masses of \( _{3}^{7} L i_{11}^{1} \boldsymbol{H} \) and
\( _{2}^{4} H e \) are 7.018,1.008 and \( 4.004 a m u \)
respectively.
Subject: Maths
A bag contains 9 marbles, 3 of which
are red, 3 of which are blue, and 3 of
which are yellow. If three marbles are
selected from the bag at random, what is probability that they are all of different colors?
A \( \cdot \frac{1}{15} \)
в. \( \frac{9}{28} \)
c. \( \frac{1}{19} \)
D. \( \frac{1}{20} \)
Subject: Maths
If a function \( \boldsymbol{f}:(2, \infty) \rightarrow \boldsymbol{B} \) defined by
\( f(x)=x^{2}-4 x+5 \) is a bijection, then
\( \boldsymbol{B}= \)
A. \( R \)
B. \( [1, \infty) \)
c. (0,1]
D. [0,1]
Subject: Maths
The linear equations that converts Fahenheit \( \left(^{o} F\right) \) to Celsius \( \left(^{o} C\right) \) is given
by the relation:
\( o_{C}=\frac{5^{o} F-160}{9} \)
Find \( ^{o} \boldsymbol{F}, \) if \( ^{o} \boldsymbol{C}=\mathbf{1} \mathbf{6}^{\mathbf{0}} \boldsymbol{C} \)
Subject: Physics
Q Type your question.
projected towards the pulley'P' with an
initial velocity \( u_{0} \) then select incorrect option
A the string would become tight at \( t=\frac{2 u_{0}}{g} \)
3. the distance travelled by 'A' before the string is taut is \( \frac{u_{0}^{2}}{g} \)
c. the distance travelled by 'B' before string is taut is \( \frac{2 u_{0}^{2}}{g} \)
D. the common speed of the blocks just after the string i aut is \( \left[\frac{n+2}{n+1}\right] u_{0} \)
Subject: Physics
The force of friction acting on a body
when velocity is \( 4 m s^{-1} \) is \( 8 N . \) The force
of friction when the velocity is \( 8 m s^{-1} \) is
\( A \cdot 4 N \)
B. 8 N
\( c \cdot 16 N \)
D. 32 N
Subject: Physics
In series LCR circuit \( R=18 \Omega \) and
impedance is \( 33 \Omega \). An r.m.s. voltage
\( 220 V \) is applied across the circuit. The true power consumed in a.c. circuit is
A . \( 200 W \)
в. \( 400 \mathrm{W} \)
c. \( 600 W \)
D. \( 800 W \)
Subject: Physics
In the circuit shown, the readings of
ammeter and voltmeter are \( 4 A \) and
\( 20 V \) respectively. The meters are non
ideal, then \( \boldsymbol{R} \) is:
\( A \cdot 5 \Omega \)
B. greater than \( 5 \Omega \)
C. Less than \( 5 \Omega \)
D. between \( 4 \Omega \) and \( 5 \Omega \)
Subject: Maths
The non zero vector \( \vec{a}, \vec{b}, \vec{c} \) related by \( \vec{a}=8 \vec{b} \) and \( \vec{c}=-7 \vec{b}, \) then angle
between \( \vec{a} \& \vec{c} \) is
A . \( \pi \)
в. \( \frac{\pi}{2} \)
c. 0
D. \( \frac{\pi}{4} \)
Subject: Physics
A plane area of \( 100 \mathrm{cm}^{2} \) is placed in uniform electric field of \( 100 N / C \) such that the angle between area vector and
electric field is \( 60^{\circ} . \) The electric flux
over the surface is
A . \( 0.5 \mathrm{wb} \)
B. \( 5 \mathrm{Wb} \)
\( c \cdot 1 w b \)
D.
Subject: Maths
A lot contains 20 articles. The
probability that the lot contains exactly
2 defective articles is \( 0 \cdot 4 \) and that lot
contains exactly 3 defective articles is
\( 0 \cdot 6 . \) Articles are drawn from the lot at
random one by one without replacement and are tested till all defective articles
are found. The probability that testing procedure ends at the twelfth testing is
\( \frac{11 k}{1900} . \) Find the value of \( k ? \)
Subject: Chemistry
\( 4.28 \mathrm{g} \) of \( \mathrm{NaOH} \) is dissolved in water and the solution is made to 250 cc. What
will be the molarity of the solution?
A . 0.615 mol \( L^{-1} \)
B. 0.428 mol \( L^{-1} \)
c. 0.99 mol \( L^{-1} \)
D. 0.301 mol \( L^{-1} \)
Subject: Maths
\( A \) began a business with Rs. \( 85,000 . \) He
was joined afterwards by \( B \) with Rs.
\( 42,500 . \) For how much period does \( B \) join, if the profits at the end of the year are divided in the ratio of \( 3: 1 ? \)
A. 4 months
B. 5 months
c. 6 months
D. 8 months
Subject: Physics
Two resistors of \( 2 \Omega \) and \( 4 \Omega \) are
connected in parallel. Two more
resistors \( 3 \Omega \) and \( 6 \Omega \) are also connected
in parallel. These two combinations are in series with a battery of emf \( 5 V \) and internal resistance \( 0.7 \Omega . \) Calculate the
current through \( 6 \Omega \) resistor.
Subject: Physics
A point moves in xy-plane according to
equation \( \boldsymbol{x}=\boldsymbol{a} \boldsymbol{t}, \boldsymbol{y}=\boldsymbol{a t}(\boldsymbol{1}-\boldsymbol{b} \boldsymbol{t}) \) where \( \boldsymbol{a} \)
and \( b \) are positive constants and \( t \) is time. The instant at which velocity
vector is at \( \pi / 4 \) with acceleration
vector is given by:
A \( \cdot \frac{1}{a} \)
B. \( \frac{1}{b} \)
\( c \cdot \frac{1}{a}+\frac{1}{b} \)
D \( \cdot(a+b)\left(a^{2}+b^{2}\right) \)
Subject: Chemistry
The frequency of \( e^{-} \) in the first Bohr orbit in a H-atom is:
A. \( 6530 \times 10^{12} \mathrm{Hz} \)
В. \( 6840 \times 10^{12} \mathrm{Hz} \)
c. \( 6430 \times 10^{12} \mathrm{Hz} \)
D. \( 6734 \times 10^{12} \mathrm{Hz} \)
Subject: Biology
Given is a diagrammatic cross section
of a single loop of human cochlea.
Which one of the following options correctly represents the names of three
different parts?
A. D- Sensory A- Endolymph, BTectorial
B. A- Perilymph, B- Tectorial membrane, C- Endolymph
c. B- Tectorial membrane, C- Perilymph, D Secretory cells
D. C- Endolymph, D- Sensory hair cells, A- Serum
Subject: Physics
Starting from rest the fly wheel of a motor attains an angular velocity of \( 60 r a d / s \) in \( 5 s, \) the angular acceleration of the fly wheel is:
A \( \cdot 6 \) rad/s\( ^{2} \)
B. 12 rad / \( s^{2} \)
C \( .300 \mathrm{rad} / \mathrm{s}^{2} \)
D. 150 rad/s\( ^{2} \)
Subject: Physics
sheets having charges \( Q \) and \( 2 Q \) are
placed parallel to each other as shown in Fig. The charge distribution on the
four faces of the two plates is also
shown. The electric field intensities at
three points \( 1,2, \) and 3 are
\( \vec{E}_{1}, \vec{E}_{2}, \) and \( \vec{E}_{3}, \) respectively. Then the magnitudes of \( \overrightarrow{\boldsymbol{E}}_{1}, \overrightarrow{\boldsymbol{E}}_{3} \) and \( \overrightarrow{\boldsymbol{E}}_{2} \) are
respectively (surface area of plates):
\( A \)
\( 0, \frac{Q}{\varepsilon_{0} S}, 0 \)
B. \( \frac{5 Q}{6 \varepsilon_{0} S}, \frac{Q}{2 \varepsilon_{0} S}, 0 \)
c. \( \frac{5 Q}{6 \varepsilon_{0} S}, \frac{Q}{\varepsilon_{0} S}, \frac{Q}{3 \varepsilon_{0} S} \)
D.
\( 0, \frac{Q}{2 \varepsilon_{0} S}, 0 \)
Subject: Physics
A ray of light in a liquid of refractive index \( 1.4, \) approaches the boundary surface between the liquid and air at an angle of incidence whose sine is 0.8
Which of the following statements is correct about the behaviour of the light
A. It is impossible to predict the behaviour of the light ras on the basis of the information supplied.
B. The sine of the angle of refraction of the emergent ray will less than 0.8
c. They ray will be internally reflected.
D. The sine of the angle of refraction of the emergent ray will be greater than 0.8
Subject: Physics
Moment of inertia of a uniform disc of
mass \( m \) about an axis \( x=a \) is \( m k^{2} \)
where \( k \) is the radius of gyration. What
is its moment of inertia about an axis
\( \boldsymbol{x}=\boldsymbol{a}+\boldsymbol{b} \)
A \( \cdot m k^{2}-m a^{2}+m(a+b)^{2} \)
B \( \cdot m k^{2}+m \frac{(a+b)^{2}}{2} \)
c. \( m k^{2}+m \frac{b^{2}}{2} \)
D. \( m k^{2}+m b^{2} \)
Subject: Chemistry
Consider the reaction, \( 3 I_{(a q)}^{-}+ \)
\[
S_{2} O_{8}^{2-} \rightarrow I_{3(a q)}^{-}+2 S O_{4(a q)}^{2-} . A t
\]
particular time \( t, \frac{\boldsymbol{d}\left[\boldsymbol{S O}_{4}^{2-}\right]}{\boldsymbol{d} t}=\boldsymbol{2} . \boldsymbol{2} \times \)
\( 10^{-2} M / s . \) What are the values of the
following at the same time?
\[
-\frac{\boldsymbol{d}\left[\boldsymbol{I}^{-}\right]}{\boldsymbol{d} \boldsymbol{t}}=?
\]
Subject: Maths
If \( \boldsymbol{y}=\frac{\boldsymbol{x}}{\boldsymbol{x}+\mathbf{1}}+\frac{\boldsymbol{x}+\mathbf{1}}{\boldsymbol{x}}, \) then \( \frac{\boldsymbol{d}^{2} \boldsymbol{y}}{\boldsymbol{d} \boldsymbol{x}^{2}} \) at \( \boldsymbol{x}= \)
1 is equal to
\( A \cdot \frac{7}{4} \)
B. \( \frac{7}{8} \)
\( c \cdot \frac{1}{4} \)
D. \( \frac{-7}{8} \)
E \( \frac{-7}{4} \)
Subject: Physics
The displacement \( y \) of a particle, if \( \operatorname{given} \operatorname{by} y=4 \cos ^{2}\left(\frac{t}{2}\right) \sin (1000 t) \)
This expression may be considered to be a result of the superposition of how many simple harmonic motions?
\( \mathbf{A} \cdot \mathbf{4} \)
B. 3
\( c \cdot 2 \)
D. 5
E. 6
Subject: Physics
The plates of a parallel plate capacitor are charged upto \( 100 V . \) now, after removing the battery, a \( 2 m m \) thick plate is inserted between the plates. Then, to maintain the same potential difference, the distance between the
capacitor plates is increased by \( 1.6 m m \) The dielectric constant of the plate is :
A . 5
B. 1.25
\( c \cdot 4 \)
D. 2.5
Subject: Maths
Let the equation of the plane through the intersection of the planes \( x+2 y+ \)
\( \mathbf{3} \boldsymbol{z}-\mathbf{4}=\mathbf{0} \) and \( \mathbf{2} \boldsymbol{x}+\boldsymbol{y}-\boldsymbol{z}+\mathbf{5}=\mathbf{0} \) and
perpendicular to the plane \( 5 x+3 y+ \)
\( \mathbf{6} z+\mathbf{8}=\mathbf{0} \) be \( \boldsymbol{k} \boldsymbol{x}+\mathbf{1 5} \boldsymbol{y}+\boldsymbol{m} \boldsymbol{z}+\mathbf{1 7 3}= \)
0. Find \( k+m \)
Subject: Physics
Let \( ^{\prime} \boldsymbol{A}^{\prime} \) be the area swept by the radial vector connecting the earth and the sun in April and May months. Then, find the area swept by the same radial vector connecting the earth and the sun in
November and December months
interms of \( \boldsymbol{A} \)
A. \( A \)
в. \( 2 A \)
c. \( \frac{30 A}{31} \)
D. \( \frac{31 A}{30} \)
Subject: Maths
Number of increasing permutations of
\( m \) symbols are there from the \( n \)
set numbers \( \left\{a_{1}, a_{2}, \ldots, a_{n}\right\} \) where
the order among the numbers is given
by \( \boldsymbol{a}_{1}<\boldsymbol{a}_{2}<\boldsymbol{a}_{3}<\ldots \boldsymbol{a}_{n-1}<\boldsymbol{a}_{n} \) is :
Subject: Physics
Figures shows a convex lens cut
symmetrically into two equal halves and separated laterally by a distance h.
A point object placed at a distance 30 \( \mathrm{cm}, \) from the lens halves, forms two real
images separated by a distance d. A plot of d versus h is shown in figure. The focal length of the lens is
A. 35 cm
B. \( 40 \mathrm{cm} \)
\( c .45 \mathrm{cm} \)
D. \( 60 \mathrm{cm} \)
Subject: Maths
\( \mathrm{R} \) is a relation in \( \mathrm{A} \) and \( (\mathrm{a}, \mathrm{b}) \notin \mathrm{r}, \) implies
(b, a) \( \notin \mathrm{R} \) then \( \mathrm{R} \) is said to be relation
A. symmetric
B. contradictory
c. skew symmetric
D. none of these
Subject: Physics
In an a.c. circuit \( \mathrm{V} \) and I are given by \( V=50 \sin 50 t \) volt and \( I= \)
\( 100 \sin (50 t+\pi / 3) \mathrm{mA} . \) The power
dissipated in the circuit
A. 2.5 kw
B. 1.25 kw
c. \( 5.0 \mathrm{kw} \)
D. 500 watt
Subject: Chemistry
The oxidation states of iodine in
\( H I O_{4}, H_{2} I O_{5} \) and \( H_{5} I O_{6} \) are
respectively
A. +1,+3,+7
B. +7,+7,+3
\( c \cdot+7,+7,+7 \)
\( D \cdot+7,+5,+3 \)
Subject: Physics
Electric potential at a point \( P, r \) distance away due to a point charge \( q \) at \( A \) is \( V \) volts. If twice of this charge is distributed uniformly on the surface of a hollow sphere of radius \( 4 r \) with center
at point \( A, \) the potential at \( P \) now is :
\( A \cdot v \)
B. V/2
\( c \cdot v / 4 \)
D. v/8
Subject: Physics
An ant moves along the sides of a square room of length 4 m starting from \( A \) and reaches the opposite corner
C by travelling from \( A \) to \( B \) and from \( B \) to
C. If the time taken is 2 s, the average
velocity of the particle is :
\( \mathbf{A} \cdot 4 m s^{-1} \)
В. \( 2 \sqrt{2} \mathrm{ms}^{-1} \)
\( \mathbf{c} \cdot 2 m s^{-1} \)
D. \( 4 \sqrt{2} \mathrm{ms}^{-1} \)
Subject: Chemistry
IP values of an element 'X' are 104 kJ,
\( 200 \mathrm{kJ}, 420 \mathrm{kJ}, 2825 \mathrm{kJ} \) per mole
Identify the group to which the element
belongs ?
A . \( I A \)
в. \( I I A \)
c. \( I I I A \)
D. \( I V A \)
Subject: Chemistry
The correct order in the processing of
wool is:
A. Shearing-sorting-scouring - fiberspinning fiberdying - rolling
B. Shearing-scouring-sorting - fiberspinning fiberdying - rolling
c. Shearing - scouring - sorting - fiberdying
fiberspinning - rolling
D. Shearing-sorting - scouring - fiberspinning rolling - fiberdying
Subject: Physics
A solid sphere falls with a terminal velocity of \( 10 \mathrm{m} / \mathrm{s} \) in air. If it is allowed to
fall in vacuum:
A. terminal velocity will be more than \( 10 \mathrm{m} / \mathrm{s} \)
c. terminal velocity will be \( 10 \mathrm{m} / \mathrm{s} \)
D. there will be no terminal velocity
Subject: Chemistry
The compound \( Y \) is:
\( \mathbf{A} \cdot C_{6} H_{4} C l_{2} \)
\( \mathbf{B} \cdot C_{6} H_{3} C l_{3} \)
\( \mathbf{c} \cdot C_{6} H_{5}-C_{6} H_{5} \)
\( \mathrm{D} \cdot C_{6} H_{5}-C_{2} H_{5} \)
Subject: Maths
If \( \sin \theta=\cos \left(2 \theta-45^{\circ}\right), \quad 0<(2 \theta- \)
\( \left.45^{\circ}\right)<90^{\circ}, \) then \( \tan \theta \)
A . -1
B.
c.
D. \( \frac{1}{\sqrt{3}} \)
Subject: Chemistry
Arrange the following in order of property indicated for each set:
a. \( F_{2}, C l_{2}, B r_{2}, I_{2} \) -increasing bond dissociation enthalpy.
b. \( H F, H C l, H B r, H I- \) increasing
acid strength.
c. \( N H_{3}, P H_{3}, A s H_{3}, S b H_{3}, B i H_{3} \)
increasing base strength.
Subject: Chemistry
The correct match is:
List - I \( \quad \) List - II
A. \( A-2, B-3, C-1, D-5 \)
B. \( A-3, B-4, C-5, D-2 \)
C \( \cdot A-1, B-3, C-4, D-2 \)
D. \( A-4, B-2, C-1, D-3 \)
Subject: Physics
Five equal resistances each of
resistance \( R \) are connected as shown in
the Figure. A battery of V volts
is connected between \( A \) and \( B \). The
current flowing in AFCEB will be :
A \( \cdot \frac{V}{R} \)
в. \( \frac{V}{2 R} \)
c. \( \frac{2 V}{R} \)
D. \( \frac{3 V}{R} \)
Subject: Physics
Two identical glass rods \( S_{1} \) and \( S_{2} \)
(refractive index \( =1.5 \) ) have one convex
end of radius of curvature \( 10 \mathrm{cm} . \) They are placed with the curved surfaces at a distance d as shown in the figure, with their axes (shown by the dashed line) aligned. When a point source of light \( P \)
is placed inside rod \( S_{1} \) on its axis at a
distance of \( 50 \mathrm{cm} \) from the curved face,
the light rays emanating from it are
found to be parallel to the axis inside \( S_{2} \)
The distance \( d \) is :
\( A \cdot 60 \mathrm{cm} \)
B. 70 cm
\( c .80 \mathrm{cm} \)
D. \( 90 \mathrm{cm} \)
Subject: Maths
Three persons \( A, B \) and \( C \) apply for a job of Manager in a Private company. Chance of their selection \( (A, B \text { and } C) \)
are in the ratio \( 1: 2: 4 . \) The probability
that \( A, B \) and \( C \) can introduce changes to improve profits of company are 0.8,0.5 and 0.3 respectively, if the changes does not take place, find the probability that it is due to the
appointment of \( \boldsymbol{C} \)
Subject: Physics
To get maximum current in a resistance
of \( 3, \) one can use n rows of m cells (connected in series) connected in parallel. If the total no. of cells is 24 and the internal resistance is 0.5 ohm then:
\( A \cdot m=12, n=2 \)
B. \( m=8, n=3 \)
\( c \cdot m=2, n=12 \)
\( D \cdot m=6, n=4 \)
Subject: Chemistry
\( \Delta G^{\circ} \) vs \( T \) plot in Ellingham diagram slopes downward for the reaction:
\( ^{\mathrm{A}} \cdot_{M g}+\frac{1}{2} O_{2} \rightarrow M g O \)
в. \( _{2 A g}+\frac{1}{2} O_{2} \longrightarrow A g_{2} O \)
\( ^{\mathrm{c}} \cdot c+\frac{1}{2} O_{2} \rightarrow C O \)
\( ^{\mathrm{D}} \cdot_{C O}+\frac{1}{2} O_{2} \rightarrow C O_{2} \)
Subject: Maths
The angle between the line \( 2 x=3 y= \)
\( -z \) and \( 6 x=-y=-4 z \) is
A \( .90^{\circ} \)
B . \( 0^{\circ} \)
\( c \cdot 30^{0} \)
D. \( 45^{\circ} \)
Subject: Maths
The sum of 10 terms of GP \( \frac{1}{2}+\frac{1}{4}+\frac{1}{8}+ \)
. is-
A \( \cdot \frac{2^{10}-1}{2^{10}} \)
B. \( \frac{2^{9}-1}{2^{9}} \)
c. \( \frac{2^{10}-1}{2^{9}} \)
D. \( \frac{2^{9}-1}{2^{10}} \)
Subject: Physics
Three concentric conducting spherical shells of radii \( \boldsymbol{R}, 2 \boldsymbol{R} \) and \( \boldsymbol{3} \boldsymbol{R} \) carry
charges \( Q,-2 Q \) and \( 3 Q, \) respectively. Compute the electric field at \( r=\frac{5}{2} R \)
\( A \)
B.
\( c \)
D.
Subject: Chemistry
HI cannot be prepared by the action of
conc. \( \boldsymbol{H}_{2} \boldsymbol{S} \boldsymbol{O}_{4} \) on \( \mathrm{K} \) I because \( \boldsymbol{H}_{2} \boldsymbol{S} \boldsymbol{O}_{4} \) is
\( -? \)
A. oxidising agent
B. reducing agent
c. A and B
D. None of these
Subject: Maths
In a test there were \( n \) questions. In the
test \( 2^{n-i} \) students gave wrong answers
to at least \( i \) questions \( i=1,2,3 \dots . n . \) If
the total number of wrong answers
given is \( 2047, \) then \( n \) is
A . 12
B. 11
c. 10
D. 13
Subject: Physics
Two coils of self inductances \( 6 m H \) and
\( 8 m H \) are connected in series and are
adjusted for highest co-efficient of coupling. Equivalent self inductance \( L \)
for the assembly is approximately
\( \mathbf{A} \cdot 50 m H \)
в. \( 36 m H \)
\( \mathrm{c} \cdot 28 m H \)
D. \( 18 m H \)
Subject: Maths
Evaluate: \( \int_{-\pi / 3}^{\pi / 3} \cos ^{2} x d x \)
A. \( \sqrt{3} / 4 \)
в. \( \pi / 3 \)
\( ^{C} \cdot \frac{\pi}{3}+\frac{\sqrt{3}}{4} \)
D. \( \frac{\pi}{3}-\frac{\sqrt{3}}{4} \)