AkshitPareek2004/jee-question-analyzer-data huggingface dataset:
Subject: Chemistry
Molten iron from the blast furnace
contains impurities.
The process of turning the impure iron into steel involves blowing oxygen into
the molten iron and
adding calcium oxide. What are the reasons for blowing in oxygen and adding calcium oxide?
A. Carbon is removed by reaction with oxygen, reacts with acidic impurities making slag
B. Carbon is removed by reacting with oxygen, reacts with slag and so removes it
C. Iron reacts with the oxygen, reacts with acidic impurities making slag
D. Iron reacts with the oxygen, reacts with slag and so removes it
Subject: Physics
A charge \( +\mathrm{Q} \) is located in space at point \( (x=1 m, y=10 m, z=5 m) . \) What is
the total electric flux that passes
through the \( y-z \) plane?
A \( \cdot \frac{Q}{\varepsilon_{0}} \)
в. \( \frac{Q}{3 \varepsilon_{0}} \)
c. \( \frac{Q}{6 \varepsilon_{0}} \)
D. \( \frac{Q}{2 \varepsilon_{0}} \)
Subject: Chemistry
Assertion
Carbon dioxide is a gas but silicon dioxide is an in-fusible solid.
Reason
Carbon dioxide has a linear \( \pi- \) bonded
structure
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
Aluminium hydroxide forms a positively charged sol. Which of the following ionic substances should be most effective in
coagulating the sol?
\( \mathbf{A} \cdot N a C l \)
в. \( C a C l_{2} \)
\( \mathbf{c} \cdot F e_{2}\left(S O_{4}\right)_{3} \)
D. \( K_{3} P O_{4} \)
Subject: Chemistry
Which of the following ion is more paramagnetic?
A \( \cdot L a^{3+}(Z=57) \)
B . \( L u^{3+}(Z=71) \)
\( \mathbf{c} \cdot Y b^{3+}(Z=70) \)
D. \( S m^{3+}(Z=62) \)
Subject: Chemistry
Equation for the following reaction.
\( \boldsymbol{C u}+\boldsymbol{x} \boldsymbol{H} \boldsymbol{N} \boldsymbol{O}_{3} \rightarrow \boldsymbol{C u}\left(\boldsymbol{N} \boldsymbol{O}_{3}\right)_{2}+ \)
\( 2 H_{2} O+2 N O_{y} \)
Find the value of \( x \) and \( y \)
A. \( x=4, y=2 \)
В. \( x=1, y=2 \)
c. \( x=2, y=2 \)
D. \( x=4, y=1 \)
Subject: Maths
If \( P(A)=\frac{1}{8} \) and \( P(B)=\frac{5}{8} . \) Which of
the following statements is not correct? This question has multiple correct options
\( ^{\mathbf{A}} \cdot P(A \cup B) \leq \frac{3}{4} \)
в. \( P(A \cap B) \leq \frac{1}{8} \)
\( ^{\mathrm{c}} \cdot_{P(\bar{A} \cap B)} \leq \frac{5}{8} \)
D. None of the above
Subject: Physics
The weight of a satellite on earth is 100
kN. What is the gravitational force on the satellite when it orbits the earth at a
distance of \( 12800 \mathrm{km} \) from the center of
the earth?
A. 11 kilo-newtons
B. 25 kilo-newtons
c. 50 kilo-newtons
D. 100 kilo-newtons
E. 200 kilo-newtons
Subject: Physics
An infinitely long rod lies along the axis
of a concave mirror of focal length \( f \). The near end of the rod is at a distance \( u> \)
\( f \) from the mirror. Its image will have a
length :
\( \mathbf{A} \cdot f^{2} /(u-f) \)
B. \( u f /(u-f) \)
c. \( f^{2} /(u+f) \)
D. \( u f /(u+f) \)
Subject: Physics
The sun delivers \( 10^{3} W m^{-2} \) of
electromagnetic flux on the earth's surface. The total power that is incident
on a roof of dimensions \( 6 m \times 30 m \) is
A . \( 1.8 \times 10^{5} \mathrm{W} \)
В. \( 7.2 \times 10^{5} \mathrm{W} \)
\( \mathbf{c} \cdot 0.9 \times 10^{5} W \)
D. \( 4.5 \times 10^{5} \mathrm{W} \)
Subject: Maths
The differential equation of all conics
whose axes coincide with the co-
ordinate axes, is
A \( . x y y_{2}+x y_{1}^{2}-y y_{1}=0 \)
B . \( y y_{2}+y_{1}^{2}-y y_{1}=0 \)
c. \( x y y_{2}+(x-y) y_{1}=0 \)
D. \( \left(y y_{1}\right)^{2}-x y_{1}-y x=0 \)
Subject: Physics
A parallel plate air capacitor has
capacity \( ^{\prime} C^{\prime} \) farad, potential \( ^{\prime} V^{\prime} \) volt
and energy' \( E^{\prime} \) joule. When the gap
between the plates is completely filled
with dielectric.
\( A . \) Both \( V \) and \( E \) increase
B. Both \( V \) and \( E \) decrease
c. \( V \) decreases, \( E \) increases
D. \( V \) increases, \( E \) decreases
Subject: Maths
If \( Z=\frac{1-\sqrt{3} i}{1+\sqrt{3} i} \) then find \( \arg (z) \)
\( \mathbf{A} \cdot-\frac{2 \pi}{3} \)
B. \( \frac{2 \pi}{5} \)
\( \mathbf{C} \cdot \frac{\pi}{3} \)
D. \( \frac{2 \pi}{3} \)
Subject: Physics
What is the self inductance of a coil in
which an induced emf of \( 2 V \) is set up,
when the current is changing at the rate
of \( 4 A s^{-1} \)
A . \( 0.5 \mathrm{mH} \)
в. \( 0.05 \mathrm{H} \)
\( c \cdot 2 H \)
D. \( 0.5 H \)
Subject: Chemistry
Calcium carbonate decomposes on heating according to the equation
\( \boldsymbol{C a} \boldsymbol{C O}_{3}(\boldsymbol{s}) \rightarrow \boldsymbol{C a O}(\boldsymbol{s})+\boldsymbol{C O}_{2}(\boldsymbol{g}) \)
The volume of \( C O_{2} \) obtained by thermal
decomposition of 50 g of \( C a C O_{3} \) at STP will be:
A. 22.4 litre
B. 44 litre
c. 11.2 litre
D. 1 litre
Subject: Biology
Consider the following four statements
(i) - (iv) and select the correct option.
(i) Fish heart contains only oxygenated
blood.
(ii)Closure of A-V valves produces the second heart sound.
(iii) The vascular connection between
the digestive tract and kidney is called hepatic portal system.
(iv) Purkinje fibres are nerve fibres
present in the heart wall.
A. i - F, ii - F, iii - T, iv - F
B. i- F, ii-F, iii - F, iv - T
c. i - \( T, \) ii - \( T, \) iii - \( F \), iv - T
D. i- T, ii - F, iii - T, iv - F
Subject: Maths
The mean of the numbers \( a, b, 8,5,10 \) is
6 and the variance is \( 6.80, \) then which of
the following gives possible values of \( a \) and \( b \)
A \( . a=0, b=7 \)
В. \( a=5, b=2 \)
c. \( a=1, b=6 \)
D. \( a=3, b=4 \)
Subject: Chemistry
The potential of hydrogen electrode at
\( 25^{\circ} C \) will be:
\( \left(P_{H_{2}}=1 \text { atm, concentration of } \boldsymbol{H}^{+}=\right. \)
\( \mathbf{0 . 1} \boldsymbol{M} \)
\( \mathbf{A} \cdot 0.00 V \)
В. \( -0.059 V \)
c. \( 0.118 V \)
D. \( 0.059 V \)
Subject: Physics
The electron density of intrinsic semiconductor at room temperature is \( 10^{16} m^{-3} . \) When doped with a trivalent impurity, the electron density is decreased to \( 10^{14} m^{-3} \) at the same
temperature. The majority carrier density is:
A \( \cdot 10^{16} m^{-3} \)
В. \( 10^{18} m^{-3} \)
\( \mathbf{c} \cdot 10^{21} m^{-3} \)
D. \( 10^{20} \mathrm{m}^{-3} \)
E \( .10^{19} m^{3} \)
Subject: Physics
Particles of masses \( \boldsymbol{m}, \boldsymbol{2 m}, \boldsymbol{3} \boldsymbol{m}, \ldots(\boldsymbol{n}) \boldsymbol{m} \)
grams are placed on the same line at distances \( l, 2 l, 3 l, \dots(n) l \) cm from a fixed point. The distance of the centre of mass of the particles from the fixed
point in centimetres is:
A \( \cdot \frac{(2 n+1) l}{3} \)
в. \( \frac{l}{n+1} \)
c. \( \frac{n\left(n^{2}+1\right) l}{2} \)
D. \( \frac{2 l}{n\left(n^{2}+1\right)} \)
Subject: Maths
\( \operatorname{Let} \boldsymbol{A}=\left[\begin{array}{ll}\boldsymbol{a} & \boldsymbol{b} \\ \boldsymbol{c} & \boldsymbol{d}\end{array}\right] \) and \( \boldsymbol{f}(\boldsymbol{\lambda})=\operatorname{det}(\boldsymbol{A}- \)
\( \boldsymbol{\lambda} \boldsymbol{I}), \) then
This question has multiple correct options
A \( \cdot f(\lambda)=\lambda^{2}-(a+d) \lambda+a d-b c \)
в. \( f(A)=O \)
c. \( A^{2}=O \) implies \( A^{r}=O \forall r \geq 2 \)
D. none of these
Subject: Chemistry
A solution containing \( B r^{-} \) ions is treated with each of the following.
Which of these will not liberate bromine
\( \operatorname{gas}( \) in acidic medium)
This question has multiple correct options
A \( \cdot C l_{2} \)
в. \( H I \)
\( \mathbf{c} \cdot I_{2} \)
D. \( S O_{3} \)
Subject: Maths
The total production during the months
of April, May and June of the three items
\( A, B \) and \( C \) are in the ratio:
\( A \cdot 7: 5: 7 \)
B. 7: 4: 4.5
\( \mathbf{c} \cdot 7: 4.5: 4 \)
D .4 .5: 6: 5 \)
Subject: Chemistry
Water softening by Clark's process
uses:
\( \mathbf{A} \cdot C a H C O_{3} \)
в. \( \operatorname{NaH} \mathrm{CO}_{3} \)
\( \mathbf{c} \cdot N a_{a} C O_{3} \)
\( \mathbf{D} \cdot \operatorname{Ca}(O H)_{2} \)
Subject: Chemistry
The \( p K_{a} \) of oxoacids of chlorine in water
follows the order:
A. \( H C l O<H C l O_{3}<H C l O_{2}<H C l O_{4} \)
в. \( H C l O_{4}<H C l O_{3}<H C l O_{2}<H C l O \)
c. \( H C l O_{4}<H C l O_{2}<H C l O_{3}<H C l O \)
D. \( H C l O_{2}<H C l O<H C l O_{3}<H C l O_{4} \)
Subject: Physics
If two balls each of mass \( 0.6 \mathrm{kg} \) moving in opposite directions with speed of \( 4 \mathrm{m} \)
\( \mathrm{s}^{-1} \) collide and rebound with same
speed, then the impulse imparted to each ball due to other is:
A. \( 0.48 k g m s^{-1} \)
B. \( 0.53 k g m s^{-1} \)
c. \( 0.81 k g m s^{-1} \)
D. \( 0.92 k g m s^{-1} \)
Subject: Maths
The value of \( \int_{-4}^{-5} e^{(x+5)^{2}} d x+ \)
\( \mathbf{3} \int_{1 / 3}^{2 / 3} e^{9(x-2 / 3)^{2}} d x \)
A . \( 2 / 5 \)
в. \( 1 / 5 \)
\( c \cdot 1 / 2 \)
D. none of these
Subject: Maths
\( p^{3}-(p+1)^{3}=? \)
\( \mathbf{A} \cdot-3 p^{2}-3 p+1 \)
B \( .-3 p^{2}-3 p-1 \)
\( \mathbf{c} \cdot-3 p^{2}+3 p+1 \)
D. \( -3 p^{2}+3 p-1 \)
Subject: Maths
\( \operatorname{Let} \boldsymbol{D}_{\boldsymbol{r}}=\left|\begin{array}{ccc}\mathbf{2}^{\boldsymbol{r}-\mathbf{1}} & \mathbf{2} \mathbf{.} \boldsymbol{3}^{\boldsymbol{r}-\mathbf{1}} & \boldsymbol{4} \mathbf{.} \mathbf{5}^{\boldsymbol{r}-\mathbf{1}} \\ \boldsymbol{\alpha} & \boldsymbol{\beta} & \boldsymbol{\gamma} \\ \mathbf{2}^{\boldsymbol{n}}-\mathbf{1} & \boldsymbol{3}^{\boldsymbol{n}}-\mathbf{1} & \mathbf{5}^{\boldsymbol{n}}-\mathbf{1}\end{array}\right| \)
Then, the value of \( \sum_{r=1}^{n} D_{r} \) is
\( \mathbf{A} \cdot \alpha \beta \mathbf{\gamma} \)
B . \( 2^{n} \alpha+3^{n} \beta+4^{n} \gamma \)
\( c \cdot 2 \alpha+3 \beta+4 \gamma \)
D. None of these
Subject: Physics
Assertion
All small oscillations are simple harmonic in nature.
Reason
Oscillations of spring block system are always simple harmonic whether amplitude is small or large.
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 \( y=\frac{x}{a+\frac{x}{b+y}}, \) then \( \frac{d y}{d x} \) is
\( \mathbf{A} \cdot \frac{a}{a b+2 a y} \)
B. \( \frac{b}{a b+2 b y} \)
c. \( \frac{a}{a b+2 b y} \)
D. \( \frac{b}{a b+2 a y} \)
Subject: Physics
The number of electrons present in
\( -1 C \) of charge is:
A \( \cdot 6 \times 10^{18} \)
B . \( 1.6 \times 10^{19} \)
\( c \cdot 6 \times 10^{19} \)
D. \( 1.6 \times 10^{18} \)
Subject: Chemistry
Assertion: For the extraction of iron,
haematite ore is used.

Reason: Haematite is a carbonate ore
of iron.
A. Only the reason is correct.
B. Both the assertion and reason are correct and the reason is the correct explanation for the assertion.
C. Only the assertion is correct.
D. Both the assertion and reason are correct, but the
reason is not the correct explanation for the assertion.
Subject: Physics
(a) In a typical nuclear reaction e.g
\( _{1}^{2} \boldsymbol{H}+_{1}^{2} \boldsymbol{H} \rightarrow_{2}^{3} \boldsymbol{H}+_{0}^{1} \boldsymbol{n}+\mathbf{3} .2 \mathbf{7} M e \boldsymbol{V} \)
although number of nucleons is conserved, yet energy is released, How? Explain.
(b) Show that nuclear density in a given nucleus is independent of mass number A.
Subject: Chemistry
Arrange the following compounds in increasing order of their reactivity in nucleophilic addition reactions. Ethanal, Propanal, Propanone, Butanone
A. Butanone < Propanone <Propanal < Ethanal
B. Propanone <Butanone < Ethanal>>Propanal
c. Propanal < Ethanal < Propanone < Butanone
D. Ethanal <Propanal<Propanone <Butanone
Subject: Physics
A ball is thrown vertically downwards with velocity \( \sqrt{2 g h} \) from a height \( h \) After colliding with the ground it just reaches the starting point. Coefficient of restitution is :
A. \( 1 / \sqrt{2} \)
B. \( 1 / 2 \)
c. 1
D. \( \sqrt{2} \)
Subject: Maths
In the given figure, if parallelogram
ABCD and rectangle ABEF are of equal
area then:
A. Perimeter of ABCD=Perimeter of ABEF
B. Perimeter of ABCD < Perimeter of ABEF
C. Perimeter of ABCD > Perimeter of ABEF
D. Perimeter of \( A B C D=\frac{1}{2} \) (Perimeter of ABEF)
Subject: Maths
Construct a quadrilateral \( \boldsymbol{V} \boldsymbol{A} \boldsymbol{B} \boldsymbol{N} \)
where \( \boldsymbol{V} \boldsymbol{A}=\mathbf{7} \boldsymbol{c m}, \boldsymbol{A B}=\boldsymbol{8} \boldsymbol{c m}, \boldsymbol{B} \boldsymbol{N}= \)
\( \mathbf{1 0} c \boldsymbol{m}, \boldsymbol{A} \boldsymbol{N}=\mathbf{1 2} \boldsymbol{c m} \) and \( \boldsymbol{V} \boldsymbol{B}=\mathbf{1 1} \boldsymbol{c m} \)
The perimeter (in cm.) of \( \square V A B N \) is
Subject: Maths
\( \boldsymbol{f}^{\prime}(\boldsymbol{x})=\boldsymbol{f}(\boldsymbol{x}), \boldsymbol{f}(\mathbf{0})=\mathbf{1}, \) then
\( \int \frac{d x}{f(x)+f(-x)} \)
\( \mathbf{A} \cdot \log \left(e^{2 x}+1\right)+C \)
B. \( \log \left(e^{x}+e^{-x}\right)+C \)
c. \( \tan ^{-1}\left(e^{x}\right)+C \)
D. None
Subject: Maths
If the coefficient of \( (2 r+4)^{t h} \) term and
\( (r-2)^{t h} \) term in the expansion of \( (1+ \)
\( x)^{18} \) are equal then \( r \)
\( \mathbf{A} \cdot \mathbf{9} \)
B. 4
\( c .6 \)
D. 3
Subject: Physics
A radioactive sample at any instant has
its disintegration rate 5000 disintegrations per minute. After 5
minutes, the rate is 1250 disintegrations per minute. Then, the decay constant (per minute)
is
A. \( 0.4 \ln 2 \)
B. \( 0.2 \ln 2 \)
c. \( 0.1 \ln 2 \)
D. \( 0.8 \ln 2 \)
Subject: Physics
If a body travels \( 30 m \) in an interval of
\( 2 s \) and \( 50 m \) in the next interval of \( 2 s \)
then the acceleration of the body is:
A. \( 10 \mathrm{ms}^{-2} \)
B. \( 5 m s^{-2} \)
c. \( 20 m s^{-2} \)
D. \( 25 \mathrm{ms}^{-2} \)
Subject: Maths
ff \( f(x), g(x), h(x) \) are polynomials in \( x \) of \( \operatorname{degree} 2 \) and \( F(x)=\left|\begin{array}{ccc}\boldsymbol{f} & \boldsymbol{g} & \boldsymbol{h} \\ \boldsymbol{f}^{\prime} & \boldsymbol{g}^{\prime} & \boldsymbol{h}^{\prime} \\ \boldsymbol{f}^{\prime \prime} & \boldsymbol{g}^{\prime \prime} & \boldsymbol{h}^{\prime \prime}\end{array}\right|, \) then
\( F(x) \) is equal to
\( A \cdot 1 \)
B.
\( c \cdot-1 \)
D. \( f(x) . g(x) . h(x) \)
Subject: Physics
One spherical ball of radius \( R \), density
released in a liquid of density \( d / 2 \)
attains a terminal velocity \( V \). Another ball of radius \( 2 R \) and density \( 1.5 d \) released in the liquid will attain a terminal velocity
A \( .2 V \)
в. \( 4 V \)
\( c .6 V \)
D. 8V
Subject: Maths
A binary operation \( ^{*} \) on the set \{0,1,2,3,4,5\} is defined as \( \boldsymbol{a} * \boldsymbol{b}=\left\{\begin{array}{c}\boldsymbol{a}+\boldsymbol{b}, \text { if } \mathbf{a}+\mathbf{b}<\mathbf{6} \\ \mathbf{a}+\mathbf{b}-\mathbf{6} \text { if } \mathbf{a}+\mathbf{b} \geq \mathbf{6}\end{array}\right\} \) show
that zero is the identity element of this
operational each element 'a' of the set is invertible with 6 -a being the inverse of
\( \mathbf{a}^{\prime} \)
Subject: Maths
Tow consecutive sides of a
parallelogram are \( 4 x+5 y=0 \) and
\( 7 x+2 y=0 . \) If the equation to one
diagonal is \( 11 x+7 y=9 \), then the
equation of the other diagonal is
A. \( x+y=0 \)
в. \( 2 x+y=0 \)
c. \( x-y=0 \)
D. None of these
Subject: Maths
Simplify the expression: \( t^{2}-59 t+ \)
\( 54-82 t^{2}+60 t \)
\( \mathbf{A} \cdot-26 t^{2} \)
B . \( -26 t^{6} \)
c. \( -81 t^{4}+t^{2}+54 \)
D. \( -81 t^{2}+t+54 \)
Subject: Maths
\( \left(\frac{4}{3} x-\frac{3}{4} y\right)^{3} \) is equal to
A \( \cdot \frac{64}{27} x^{3}+\frac{27}{64} y^{3}+4 x^{2} y+\frac{9}{4} x y^{2} \)
B. \( \frac{64}{27} x^{3}+\frac{27}{64} y^{3}-4 x^{2} y-\frac{9}{4} x y^{2} \)
C \( \frac{64}{27} x^{3}-\frac{27}{64} y^{3}-4 x^{2} y+\frac{9}{4} x y^{2} \)
D. \( \frac{64}{27} x^{3}-\frac{27}{64} y^{3}+4 x^{2} y-\frac{9}{4} x y^{2} \)
Subject: Physics
With what angular velocity and in what direction does the turntable rotate?
A. The table rotates anticlockwise (in direction of the mam motion) with angular velocity \( 0.05 r a d / s \)
B. The table rotates clockwise (opposite to the man) with angular velocity \( 0.1 \mathrm{rad} / \mathrm{s} \)
c. The table rotates clockwise (opposite to the man) with angular velocity \( 0.05 r a d / s \)
D. The table rotates anticlockwise (in the direction of the man motion) with angular velocity \( 0.1 \mathrm{rad} / \mathrm{s} \)
Subject: Physics
A conductor of length I and mass m is placed along the east-west line on a table. Suddenly a certain amount of
change is passed through it and it is found to jump to a height h. The earth's
magnetic induction is B. The charge
passed through the conductor is:
A \( \cdot \frac{1}{B m g h} \)
B. \( \frac{\sqrt{2 g h}}{B / m} \)
c. \( \frac{g h}{B / m} \)
D. \( \frac{m \sqrt{2 g h}}{B l} \)
Subject: Chemistry
Hydrolysis of \( X e F_{4} \) and \( C a N C N \) gives
respectively:
A. \( X e O_{3} \) and \( C a C O_{3} \)
в. \( X e O_{2} \) and \( C a C N_{2} \)
c. \( X e O F_{3} \) and \( C a C N_{2} \)
D. \( X e O F_{2} \) and \( C a C O_{3} \)
Subject: Maths
If \( y=x^{2} \sin x, \) then \( \frac{d y}{d x} \) will be
A. \( x^{2} \cos x+2 x \sin x \)
B. \( 2 x \sin x \)
C \( \cdot x^{2} \cos x \)
D. \( 2 x \cos x \)
Subject: Maths
Let \( A=\{1,2,3\} \) and \( B=\{a, b\} . \) Which
of the following subsets of \( A \times B \) is a
mapping from \( \boldsymbol{A} \) to \( \boldsymbol{B} \) This question has multiple correct options
A・ \( \{(1, a),(3, b),(2, a),(2, b)\} \)
В \( \cdot\{(1, b),(2, a),(3, a)\} \)
c. \( \{(1, a),(2, b)\} \)
D. none of these
Subject: Chemistry
At some temperature and under a
pressure of 4 atm, \( P C l_{5} \) is \( 10 \% \)
dissociated. Calculate the pressure at
which \( P C l_{5} \) will be \( 20 \% \) dissociated, temperature remaining
same.
A. 0.096 atm
B. 19.2 atm
c. 0.96 atm
D. 0.192 atm
Subject: Chemistry
box and covered it with a black paper
from all sides. They fixed a source of light (a torch) at one end of the box by making a hole in it and made another
hole on the other side to view the light.
They placed a milk sample contained in a beaker/tumbler in the box as shown
in the Fig.2.4. They were amazed to see
that milk taken in the tumbler was
illuminated. They tried the same
activity by taking a salt solution but
found that light simply passed through
it?
Can you suggest two more solutions
which would show the same effect as
shown by the milk solution?
Subject: Chemistry
Consider the given halogen-containing compounds:
The compounds with a net zero dipole
moment are:
\[
\text { I. } \mathrm{CHCl}_{3}
\]
II. \( \mathrm{CCl}_{4} \). \( \quad \) III. \( \mathrm{CH}_{2} \mathrm{Cl}_{2} \)
IV. \( \mathrm{CH}_{3} \mathrm{Cl} \)
v.
A. \( (I I),(V) \)
в. \( (I I I) \)
c. \( (I I I),(I V) \)
D. \( (I),(I V) \)
E. None
Subject: Chemistry
How many of the following are strong electrolytes?
a. \( \boldsymbol{N} \boldsymbol{H}_{\mathbf{3}} \)
b. \( \boldsymbol{N} \boldsymbol{H}_{4} \boldsymbol{C l} \)
c. \( \boldsymbol{C H}_{3} \boldsymbol{C O O H} \)
d. \( C H_{3} C O O N a \)
e. \( \boldsymbol{H} \boldsymbol{C l} \)
f. \( \boldsymbol{N} \boldsymbol{a} \boldsymbol{C l} \)
Subject: Physics
An electromagnetic wave of frequency
\( \boldsymbol{v}=\mathbf{3} \) MHz passes from a vacuum into
a dielectric medium with permittivity
\( =4, \) Then
A. Wavelength and frequency both become half.
B. Wavelength is doubled and frequency remains unchanged.
C. Wavelength and frequency both remains unchanged.
D. Wavelength is halfved and frequency remains unchanged.
Subject: Chemistry
Consider the following redox reaction:
\( 2 S_{2} O_{3}^{2-}+I_{2} \longrightarrow S_{4} O_{6}^{2-}+2 I^{\ominus} \)
This question has multiple correct options
A \( \cdot S_{2} O_{3}^{2-} \) gets reduced to \( S_{4} O_{6}^{2} \)
B. \( S_{2} O_{3}^{2-} \) gets oxidised to \( S_{4} O_{6}^{2} \)
c. \( I_{2} \) gets reduced to \( I^{\ominus} \)
\( \mathbf{D} \cdot I_{2} \) gets oxidised to \( I^{\ominus} \)
Subject: Physics
Two towns \( A \) and \( B \) are connected by a regular bus service with a bus leaving in either direction every T minutes. A
man cycling with a speed \( 20 \mathrm{km} \mathrm{h}^{-1} \) in
the direction \( A \) to \( B \) notices that a bus
goes past him every 10 min in the direction of his motion, and every 2 min in the opposite direction. The speed of the bus on the road is:
A. \( 10 \mathrm{kmph} \)
B. 20 kmph
c. \( 40 \mathrm{kmph} \)
D. 30 kmph
Subject: Maths
produced by a sleep researcher studying the number of dreams people
recall when asked to record their
dreams for one week. Group \( \boldsymbol{X} \)
consisted of 100 people who observed
early bedtimes, and Group \( Y \) consisted
of 100 people who observed later
bedtimes. If a person is chosen at
random from those who recalled at least
1 dream, what is the probability that the
person belonged to Group \( Y ? \)
Dreams Recalled during One Week \begin{tabular}{|l|c|c|c|c|}
\hline & None & 1 to 4 & 5 or more & Total \\
\hline \hline Group X & 15 & 28 & 57 & 100 \\
\hline Group Y & 21 & 11 & 68 & 100 \\
\hline Total & 36 & 39 & 125 & 200 \\
\hline
\end{tabular}
\( A \)
\( \frac{68}{100} \)
B. \( \frac{79}{100} \)
\( c \)
\( \frac{79}{164} \)
D. \( \frac{16}{\text { ? }} \)
Subject: Maths
A horse is tied to a post by a rope If the horse moves along a circular path always keep the rope tight and describes 88 metres when it has traced
out \( 72^{\circ} \) at the center, then the length of
rope is
\( A \cdot 60 m \)
B. \( 65 m \)
\( c .70 m \)
D. \( 72 m \)
Subject: Chemistry
In the dichromate anion \( C r_{2} O_{7} \)
A. all Cr- O bonds are equivalent
B. \( 6 \mathrm{cr} \) - 0 bonds are equivalent
c. \( 3 \mathrm{cr} \) -o bonds are equivalent
D. no bonds in \( C r_{2} O_{7} \) are equivalent
Subject: Chemistry
Which of the following statements is
wrong about hydroboration oxidation?
A. The reaction proceeds through cyclic intermediate transition state and syn addition takes place
B. Reagent diborane in ether (THF) exists as borane- THF complex
C . Diborane in polar solvent \( \left(H_{2} O\right) \) exists as
\( \left[B H_{2}\right]^{\oplus}\left[B H_{4}\right]^{\ominus} \)
D. The reaction proceed through ionic intermediate and syn addition takes place.
Subject: Maths
Find the maximum and minimum
values, if any of the following function given by
¡) \( \boldsymbol{f}(\boldsymbol{x})=|\boldsymbol{x}+\mathbf{2}|-\mathbf{1} \)
ii) \( \boldsymbol{g}(\boldsymbol{x})=-|\boldsymbol{x}+\mathbf{1}|+\mathbf{3} \)
iii) \( \boldsymbol{f}(\boldsymbol{x})=|\sin 4 \boldsymbol{x}+\boldsymbol{3}| \)
Subject: Maths
\( \int \sqrt{\frac{\cos x-\cos ^{3} x}{1-\cos ^{3} x}} d x= \)
A. \( \frac{2}{3} \sin ^{-1}\left(\cos ^{\frac{3}{2}} x\right)+c \)
B. \( \frac{3}{2} \sin ^{-1}\left(\cos ^{\frac{3}{2}} x\right)+c \)
C. \( \frac{2}{3} \cos ^{-1}\left(\cos ^{\frac{3}{2}} x\right)+c \)
D. \( \frac{3}{2} \cos ^{-1}\left(\cos ^{\frac{3}{2}} x\right)+c \)
Subject: Maths
Find the domain and range of the
following function:
\( \boldsymbol{f}(\boldsymbol{x})=\left\{\begin{array}{ll}2-\boldsymbol{x} & \boldsymbol{i f} \quad \mathbf{0}<\boldsymbol{x}<\mathbf{2} \\ \boldsymbol{x}-\mathbf{1} & \boldsymbol{i f} \quad \boldsymbol{3} \leq \boldsymbol{x}<\mathbf{4}\end{array}\right. \)
Subject: Physics
assertion - The interference of two
identical waves moving in same direction produces standing waves. Reason - Various elements of standing waves do not remain in constant phase.
A. 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
\( \int_{\infty}^{a} \frac{\boldsymbol{d} \boldsymbol{x}}{\boldsymbol{x}^{4} \sqrt{\left(\boldsymbol{a}^{2}+\boldsymbol{x}^{2}\right)}}=\frac{\boldsymbol{k}-\sqrt{\boldsymbol{k}}}{\mathbf{3} \boldsymbol{a}^{4}} \) What is
\( k ? \)