AkshitPareek2004/jee-question-analyzer-data huggingface dataset:
Subject: Maths
\( f\left|\begin{array}{ll}\boldsymbol{x} & \boldsymbol{y} \\ \boldsymbol{4} & \boldsymbol{2}\end{array}\right|=\mathbf{7} \) and \( \left|\begin{array}{ll}\boldsymbol{2} & \boldsymbol{3} \\ \boldsymbol{y} & \boldsymbol{x}\end{array}\right|=\boldsymbol{4} \) then
A \( \cdot x=-3, y=-\frac{5}{2} \)
B. \( x=-\frac{5}{2}, y=-3 \)
c. \( _{x}=-3, y=\frac{5}{2} \)
D. \( x=-\frac{5}{2}, y=3 \)
Subject: Physics
The light waves from two independent monochromatic light sources are given
by-
\( \boldsymbol{y}_{1}=\mathbf{2} \sin \omega \boldsymbol{t} \) and \( \boldsymbol{y}_{2}=\mathbf{2} \cos \boldsymbol{\omega} \boldsymbol{t} \)
then the following statement is correct
A. Both the waves are coherent
B. Both the waves are incoherent
c. Both the waves have different time periods
D. None of the above
Subject: Chemistry
Consider the following reaction,
\( \mathbf{5} \boldsymbol{H}_{\mathbf{2}} \boldsymbol{O}_{\mathbf{2}}+\boldsymbol{x} \boldsymbol{C l} \boldsymbol{O}_{\mathbf{2}}+\mathbf{2} \boldsymbol{O} \boldsymbol{H}^{-} \rightarrow \boldsymbol{x} \boldsymbol{C l}^{-}+ \)
\( \boldsymbol{y} \boldsymbol{O}_{2}+\boldsymbol{6} \boldsymbol{H}_{2} \boldsymbol{O} . \) The reaction is balanced
if
A \( . x=5, y=2 \)
в. \( x=2, y=5 \)
c. \( x=4, y=10 \)
D. \( x=5, y=5 \)
Subject: Chemistry
The number of d-electrons in \( F e^{2+}(Z= \)
26) is not equal to the number of
electrons in which one of the following?
A. d- electrons in Fe \( (z=26) \)
B. p - electrons in Ne ( \( Z=10 \) )
c. s - electrons in \( \mathrm{Mg}(\mathrm{Z}=12) \)
D. p-electrons in Cl ( \( z=17 \) )
Subject: Maths
If the matrix \( \left[\begin{array}{ccc}1 & 3 & \lambda+2 \\ 2 & 4 & 8 \\ 3 & 5 & 10\end{array}\right] \) is singular
\( \operatorname{then} \lambda= \)
A . -2
B. 4
\( c \cdot 2 \)
D. -
Subject: Physics
Assertion: Two equipotential surfaces
cannot cut each other.

Reason: Two equipotential surfaces are
parallel to each other.
A. Both Assertion and Reason are true and the Reason is
the correct explanation of the Assertion
B. Both Assertion and Reason are true but the Reason is
not the correct explanation of the Assertion
C. Assertion is true statement but Reason is false
D. Both Assertion and Reason ale false statements
Subject: Physics
Two parallel plate capacitor of capacitances \( C \) and \( 2 C \) are connected in parallel and charged to a potential difference V. If the battery
is disconnected and the space between the plate of the capacitor of capacince \( C \) is completely filled with a material of dielectric constant \( K, \) then the potential difference across the capacitor will be
come
A. \( 3 V(K+2) \)
B. \( \frac{(K+2)}{3 V} \)
c. \( \frac{3 V}{(K+2)} \)
D. \( \frac{3(K+2)}{V} \)
Subject: Physics
In the Bohr model of a hydrogen atom, the centripetal force is furnished by the coulomb attraction between the proton
and the electron. If \( a_{0} \) is the radius of
the ground state orbit, \( m \) is the mass
and \( e \) is the charge on the election and
\( \varepsilon_{0} \) is the vacuum permittivity, the speed
of the electron is?
A. 0
B. \( \frac{e}{\sqrt{\varepsilon_{0} a_{0} m}} \)
c. \( \frac{e}{\sqrt{4 \pi \varepsilon_{0} a_{0} m}} \)
D. \( \sqrt{\frac{4 \pi \varepsilon_{0} a_{0} m}{e}} \)
Subject: Chemistry
Which compound is matched up with
its correct name?
This question has multiple correct options
A. CO - monocarbon oxide
B. \( C a F_{2} \) - calcium fluoride
C \( \cdot C C l_{4} \) - carbon tetrachloride
D. \( P C l_{3} \) - potassium trichloride
E . \( T i F_{4}-\operatorname{tin}(I V) \) fluoride
Subject: Chemistry
Assertion
\( \gamma- \) rays have very high penetrating
power.
Reason
\( \gamma- \) rays are electromagnetic radiations of high energy.
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
The magnetic moment \( (\mu) \) of a revolvng
electron around the nucleus varies with
principle quantum number n as
\( \mathbf{A} \cdot \mu \propto n \)
в. \( \mu \propto 1 / n \)
c. \( \mu \propto n^{2} \)
D. \( \mu \propto 1 / n^{2} \)
Subject: Physics
A body of mass \( 5 k g \) is acted upon by
two perpendicular forces of \( 8 N \) and \( 6 N \) find the magnitude of acceleration?
A \( \cdot 1 \mathrm{m} / \mathrm{s}^{2} \)
в. \( 3 m / s^{2} \)
\( \mathrm{c} \cdot 4 \mathrm{m} / \mathrm{s}^{2} \)
D. \( 2 m / s^{2} \)
Subject: Chemistry
(B) and (C) are:
A \( \cdot C a O, C a(O H)_{2} \)
в. \( C a(O H)_{2}, C a C O_{3} \)
c. \( \operatorname{CaCO}_{3}, \operatorname{Ca}(O H)_{2} \)
D. \( C a(O H)_{2}, C a O \)
Subject: Physics
A cylinder of length \( L \) and radius b has
its axis coincident with the x-axis. The
electric field in this region is \( \overrightarrow{\boldsymbol{E}}=\mathbf{2 0 0 \hat { \boldsymbol { i } }} \)
Find the flux through the left end of cylinder.
\( \mathbf{A} \cdot \mathbf{0} \)
в. \( 200 \pi b^{2} \)
c. \( 100 \pi b^{2} \)
D. \( -200 \pi b^{2} \)
Subject: Physics
Two particles \( A \) and \( B \) start moving with velocities \( 20 m / s \) and \( 30 \sqrt{2} m / s \)
along \( x-a x i s \) and at an angle \( 45^{\circ} \) with
\( x- \) axis respectively in \( x y- \) plane from
origin. The relative velocity of \( \boldsymbol{B} \) w.r.t. \( \boldsymbol{A} \)
\( \mathbf{A} \cdot(10 \hat{i}+30 \hat{j}) m / s \)
B. \( (30 \hat{i}+10 \hat{j}) m / s \)
c. \( (30 \hat{i}-20 \sqrt{2} \hat{j}) m / s \)
D. \( (30 \sqrt{2} \hat{i}+10 \sqrt{2} \hat{j}) m / s \)
Subject: Physics
A potentiometer wire of length \( 10 m \)
and resistance \( 10 \Omega \) per metre is
connected in series with a
resistance box and a 2 volt battery. If a potential difference of \( 100 m V \) is balanced across the whole length of potentiometer wire, then the resistance introduced in the resistance box will be:
A . \( 1900 \Omega \)
в. \( 900 \Omega \)
\( \mathbf{c} \cdot 190 \Omega \)
D. \( 90 \Omega \)
Subject: Chemistry
At \( 373 \mathrm{K}, \) a gaseous reaction \( \boldsymbol{A} \rightarrow \)
\( 2 B+C \) is found to be of first order.
Starting with pure \( A \), the total pressure at the end of 10 min. was \( 176 \mathrm{mm} \) and
after a long time when A was completely dissociated, it was \( 270 \mathrm{mm} \). The pressure of \( A \) at the end of 10 minutes
was?
A. \( 94 \mathrm{mm} \)
B. 47mm
c. \( 43 \mathrm{mm} \)
D. 90mm
Subject: Physics
Two charges of \( +25 \times 10^{-9} \) coulomb
and \( -25 \times 10^{-9} \) coulomb are placed \( 6 \mathrm{m} \) apart. Find the electric field intensity ratio at points \( 4 \mathrm{m} \) from the centre of
the electric dipole
(i) on axial line
(ii) on equatorial line
A \( \cdot \frac{1000}{49} \)
в. \( \frac{49}{1000} \)
c. \( \frac{500}{49} \)
D. \( \frac{49}{500} \)
Subject: Physics
A physicist works in a laboratory where
the magnetic field is 2 T. She wears a
silver necklace enclosing an area 100
\( c m^{2} \) of field and having a resistance of
\( 0.1 \Omega . \) Because of power failure, the
field decays to \( 1 T \) in millisecond. The
electric charge circulated in the
necklace assuming that the magnetic field is perpendicular to area covered by the necklace is
\( \mathbf{A} \cdot 0.01 C \)
в. \( 0.001 C \)
c. \( 0.1 C \)
D. \( 1.0 C \)
Subject: Maths
The function \( f(x) \) defined on the real numbers has the property that \( \boldsymbol{f}(\boldsymbol{f}(\boldsymbol{x})) \cdot(1+\boldsymbol{f}(\boldsymbol{x}))=-\boldsymbol{f}(\boldsymbol{x}) \) for all \( \boldsymbol{x} \) in
the domain of \( f \). If the number 3 is in
the domain and range of \( f, \) compute the
value of \( \boldsymbol{f}(\mathbf{3}) \)
A. \( -\frac{3}{4} \)
в. \( -\frac{3}{2} \)
\( c \cdot \frac{2}{3} \)
D. \( -\frac{2}{3} \)
Subject: Maths
Let \( \boldsymbol{P}(\boldsymbol{n}) \) be the statement \( " \boldsymbol{3}^{\boldsymbol{n}}>\boldsymbol{n}^{\prime \prime} . \) If
\( P(n) \) is true, \( P(n+1) \) is true.
A. True
B. False
Subject: Maths
Let \( \boldsymbol{f}(\boldsymbol{x})=\boldsymbol{x}^{3}+\boldsymbol{2} \boldsymbol{x}^{2}+\boldsymbol{3} \boldsymbol{x}+\boldsymbol{4}, \) then the
quation \( \frac{1}{x-f(1)}+\frac{2}{x-f(2)}+ \)
\( \frac{3}{x-f(3)}=0, \) has
A. 1 real root
B. 2 real roots
c. all three roots are real
D. no real root exist
Subject: Chemistry
Electronic configuration of \( _{19} K^{39} \) is:
A \( \cdot 1 s^{2} 2 s^{2} 2 p^{6} 3 s^{2} 3 p^{6} 3 d^{1} \)
B \( \cdot 1 s^{2} 2 s^{2} 2 p^{6} 3 s^{2} 3 p^{6} 4 s^{1} \)
\( \mathbf{c} \cdot 1 s^{2} 2 s^{2} 2 p^{6} 3 s^{2} 3 p^{3} 4 s^{1} 3 d^{1} \)
D. \( 1 s^{2} 2 s^{2} 2 p^{6} 3 s^{2} 3 p^{3} 4 s^{2} 3 d^{1} \)
Subject: Physics
Find the electric field for \( \mathbf{0}<\boldsymbol{r}<\boldsymbol{R} \)
\( ^{\mathbf{A}} \cdot_{E}=\frac{\rho_{0} r^{2}}{3 R \epsilon_{0}} \)
В. \( \quad E=\frac{\rho_{0} r^{2}}{4 R \epsilon_{0}} \)
\( ^{\mathrm{C}} E=\frac{\rho_{0} r^{2}}{2 R \epsilon_{0}} \)
D. \( \quad E=\frac{\rho_{0} r^{2}}{R \epsilon_{0}} \)
Subject: Physics
A straight conductor carries a current.
Assume that all free electrons in the
conductor move with the same drift
velocity \( v . A \) and \( B \) are two observers on
a straight line \( X Y \) parallel to the conductor. A is stationary. B moves along XY with a velocity \( v \) in the
direction of the free electrons:
A. A and B observe the same magnetic field
B. A observes a magnetic field, B does not
C. A and B observe magnetic fields of the same magnitude but opposite directions
D. A and B do not observe any electric field
Subject: Physics
A battery of e.m.f. \( 6.0 ~ V \) and negligible
internal resistance is connected to a
network of resistors and a voltmeter, as
shown in Fig.

Resistor \( Y \) has a resistance of \( 24 \Omega \) and
resistor \( Z \) has a resistance of \( 32 \Omega \)
The resistance \( R_{X} \) of the variable
resistor \( X \) is adjusted until the
voltmeter reads \( 4.8 \mathrm{V} \)
Calculate:
The current in resistor \( Z \)
current \( = \) \( \boldsymbol{A} \)
Subject: Physics
A current carrying small loop of one turn behaves like a small magnet. If \( A \) be its
area, \( M \) its magnetic moment, the current in the loop will be
A \( \cdot \frac{M}{A} \)
в. \( \frac{A}{M} \)
c. \( M A \)
D. \( A^{2} M \)
Subject: Maths
The parallel sides of a trapezium are \( x \)
and \( y \) in length. The length of the line segment joining the mid points of the non parallel sides is:
A. \( \frac{x+y}{2} \)
B. \( x+y \)
c. \( \frac{2 x+3 y}{2} \)
D. \( \frac{x y}{2} \)
Subject: Physics
Find the value of friction forces between
the blocks \( A \) and \( B \) and between \( B \) and
ground (Take \( \left.g=10 m s^{-2}\right) \)
\( A \cdot 90 N, 5 N \)
B. 5 N, 90 \( N \)
\( c \cdot 5 N, 75 N \)
D. O N, 80 N
Subject: Chemistry
In a permutit, the calcium and magnesium ions of hard water are exchanged by:
A \( \cdot C O_{3}^{2-} \) and \( H C O_{3}- \) ions of permutit
B. \( N a^{+} \) ions of permutit
c. \( A l^{3+} \) ions of permutit
D. \( S i^{4+} \) ions of permutiti
Subject: Chemistry
\( 520 \mathrm{gm} \) mixture of \( F e_{2} O_{3} \) and \( \mathrm{Fe} 0 \)
reacts completely with 158 gm \( K M n O_{4} \) in acidic medium. Calculate the mole \( \% \)
of \( F e_{2} O_{3} \) in mixture
Subject: Physics
A particle of mass \( m_{1} \) moving with a velocity of \( 5 m / s \) collides head on with a
stationary particle of mass \( m_{2} . \) After collision both the particle move with a
common velocity of \( 4 m / s, \) then the
value \( \boldsymbol{m}_{1} / \boldsymbol{m}_{2} \) is:
A .4:
B. 2:
\( c \cdot 1: 8 \)
D. 1:
Subject: Chemistry
The following data are obtained when dinitrogen and dioxygen react together to form different compounds:
Mass of dinitrogen \( \quad \) Mass of dioxygen
\( 14 \mathrm{g} \) \( 16 g \)
\( 14 \mathrm{g} \) 328
\( 28 \mathrm{g} \) 32 \( g \)
\( 28 g \) \( 80 g \)
Which law of chemical combination is
obeyed by the above experimental data?
A. Law of conservation of mass
B. Law of definite proportions
c. Law of multiple proportions
D. Avogadro's Law
Subject: Chemistry
In the reaction,
\( \left(N H_{4}\right)_{2} C r_{2} O_{7} \stackrel{\Delta}{\longrightarrow} N_{2}+H_{2} O+ \)
\( \boldsymbol{C r}_{2} \boldsymbol{O}_{3} \)
The coefficient of \( \boldsymbol{H}_{2} \boldsymbol{O} \) is :
\( \mathbf{A} \cdot \mathbf{1} \)
B . 2
\( c \cdot 3 \)
D.
Subject: Physics
A spherical uniform planet is rotating about its axis. The velocity of a point on its equator is \( V \). Due to the rotation of
planet about its axis the acceleration due to gravity \( g \) at equator is \( \frac{1}{2} \) of \( g \) at
poles. The escape velocity of a particle on the pole of planet in terms of \( V \)
A. \( V_{e}=2 V \)
B . \( V_{e}=V \)
\( \mathbf{c} \cdot V_{e}=V / 2 \)
D. \( V_{e}=\sqrt{2} V \)
Subject: Physics
A \( 30.0 \mathrm{kg} \) hammer, moving with speed speed \( 20.0 m s^{-1}, \) strikes a steel Spike
\( 2.30 \mathrm{cm} \) in diameter. The hammer
rebounds with speed \( 10.0 \mathrm{ms}^{-1} \) after
0.110 s.What is the average Strain in the Spike during the impact?
Subject: Maths
Find the middle term in the expansion of \( \left(\frac{x}{a}-\frac{a}{x}\right)^{21} \)
A \( \cdot 20_{110} \frac{x}{a},^{21} C_{10} \frac{a}{x} \)
В. \( _{20} C_{9} \frac{x}{a},^{2} 16_{10} \frac{a}{x} \)
\( ^{\mathrm{C}} \cdot_{21} C_{10} \frac{x}{a^{2}},-^{21} 1_{10} \frac{a}{x} \)
D. \( _{21} C_{9} \frac{x}{a},^{21} C_{10} \frac{a}{x} \)
Subject: Maths
Which of the following are in inverse
proportion?
This question has multiple correct options
A. The number of workers on a job and the time to complete the job.
B. The time taken for a journey and the distance travelled in a uniform speed.
C. Area of cultivated land and the crop harvested.
D. The time taken for a fixed journey and the speed of the vehicle.
E. The population of a country and the area of land per person.
Subject: Chemistry
Consider the following reaction
\( \boldsymbol{R} \boldsymbol{C} \boldsymbol{H}=\boldsymbol{C} \boldsymbol{H}_{2}+\boldsymbol{I} \boldsymbol{N}_{3}^{\ominus} \rightarrow \boldsymbol{A} \)
\( A \) is :
A . \( R C \) \( _{i}^{C H C H_{2} N_{3}} \)
в. \( \underset{N_{3}}{R C H C H_{2} I} \)
c. Both are possible
D. None of these
Subject: Physics
Sound signal is sent through a composite tube as shown in figure. The radius of the semicircle is r. Speed of
sound in air is \( V \). The source of sound is
capable to generate frequencies in
the range \( f_{1} \) to \( f_{2}\left(f_{2}>f\right) . \) If 'n' is an
integer then frequency for maximum intensity is given by :
\( A \cdot \frac{n V}{r} \)
B. \( \frac{n V}{r(\pi-2)} \)
\( \mathbf{c} \cdot 7 V / r \)
D. \( \frac{n V}{(r-2) \pi} \)
Subject: Physics
f a current lis flowing in a loop of
radius r as shown in adjoining figure,
then the magnetic field induction at the
centre 0 will be
A. zero
в. \( \frac{\mu_{0} I \theta}{4 \pi r} \)
c. \( \frac{\mu_{0} I \sin \theta}{4 \pi r} \)
D. \( \frac{2 \mu_{0} I \sin \theta}{4 \pi r^{2}} \)
Subject: Chemistry
\( \boldsymbol{H}_{3} \boldsymbol{B} \boldsymbol{O}_{3} \stackrel{\boldsymbol{T}_{1}}{\longrightarrow} \boldsymbol{X} \stackrel{\boldsymbol{T}_{2}}{\longrightarrow} \boldsymbol{Y} \stackrel{r e d h o t}{\longrightarrow} \boldsymbol{B}_{2} \boldsymbol{O}_{3} \)
\( T_{1}<T_{2} \) then \( X \) and \( Y \) respectively are :
A. \( x= \) Metaboric acid and \( Y= \) Tetraboric acid
B. X=Tetraboric acid and Y= Metaboric acid
c. \( x= \) Borax and \( Y= \) Metaboric acid
D. x=Tetraboric acid and Y= Borax
Subject: Physics
The specific latent heat of fusion of ice
is:
A \( \cdot 4.2 J g^{-1} 0 C^{-1} \)
B. 4200 Jkg \( ^{-10} C^{-1} \)
c. з36 \( J g^{-1} \)
D. 336,000 Jg \( ^{-1} \)
Subject: Maths
What is the probability that a two digit number selected at random will be a
multiple of 3 and not a multiple of \( 5 ? \)
A \( \cdot \frac{1}{15} \)
в. \( \frac{3}{15} \)
c. \( \frac{4}{15} \)
D. \( \frac{5}{15} \)
Subject: Maths
Direction ratio of two lines are \( l_{1}, \boldsymbol{m}_{1}, \boldsymbol{n}_{1} \)
and \( l_{2}, m_{2}, n_{2} \) then direction ratios of the line perpendicular to both the lines
are
A \( . l_{1}-l_{2}, m_{1}-m_{2}, n_{1}-n_{2} \)
в. \( l_{1}+l_{2}, m_{1}+m_{2}, n_{1}+n_{2} \)
c. \( m_{1} n_{2}-n_{1} m_{2}, n_{1} l_{2}-n_{2} l_{1}, l_{1} m_{2}-m_{1} l_{2} \)
D. \( m_{1} n_{2}-n_{1} m_{2}, n_{1} l_{2}-n_{1} l_{1}, l_{1} m_{2}-m_{1} l_{2} \)
Subject: Maths
Given \( \boldsymbol{A}=\sin ^{2} \boldsymbol{\theta}+\cos ^{4} \boldsymbol{\theta}, \) then for all
real \( \theta, \) which of the following is true?
A. \( 1 \leq A \leq 2 \)
в. \( \frac{3}{4} \leq A \leq 1 \)
c. \( \frac{13}{16} \leq A \leq 1 \)
D. \( \frac{3}{4} \leq A \leq \frac{13}{16} \)
Subject: Biology
Study the following about endocrine
disorder
\begin{tabular}{lll} 
Hormones & Hyposecretion & Hypersecreti \\
(I) Insulin & Diabetes mellitus & Unconsciousr and shock \\
(II) Thyroxine & Simple Goitre & Myxoedema \\
(III) Parathormone & Tetany & Osteoporosis \\
\hline (IV) Cortisol & Cushing's syndrome & Addison's diseases
\end{tabular}
A. Only I,III and IV
B. Only I,II and II
C. Only I and III
D. All are true
Subject: Physics
A stone thrown vertically upwards with
an initial velocity \( u \) from the top of a tower, reaches the ground with a
velocity of 3 \( u \). The height of the tower is :
A. \( 3 u^{2} / g \)
B. \( 4 u^{2} / g \)
c. \( 6 u^{2} / g \)
D. \( 9 u^{2} / g \)
Subject: Chemistry
Oxygen consists of isotopes \( \mathbf{O}^{16}, \mathbf{O}^{\mathbf{1 7}} \) and \( \mathrm{O}^{18} \) carbon consists of isotopes of \( \mathbf{C}^{12} \) and \( \mathbf{C}^{13} \) Total number of \( \mathbf{C O}_{\mathbf{2}} \)
molecules possible are
\( A \cdot 6 \)
B. 12
\( c \cdot 18 \)
D.
Subject: Physics
When an unknown resistance and a
resistance of \( 4 \Omega \) are connected in the
left and right gaps of a meter bridge, the balance point is obtained at \( 50 \mathrm{cm} . \) The
shift in the balance point, if a \( 4 \Omega \) resistance is now connected in parallel to the resistance in the right gap, is
A. \( 66.7 \mathrm{cm} \)
в. \( 16.7 \mathrm{cm} \)
\( \mathrm{c} .34 .6 \mathrm{cm} \)
D. 14.6 \( c m \)
Subject: Physics
A circular coil of one turn and area \( \boldsymbol{A} \)
carrying a current has a magnetic dipole moment \( M . \) The current through
the coil is :
\( A \cdot M A \)
в. \( \frac{A}{M} \)
c. \( \frac{M}{A} \)
D. \( \frac{M}{A^{2}} \)
Subject: Maths
Prove that the length of the common chord of the two circles whose
equations are \( (x-a)^{2}+(y-b)^{2}=c^{2} \)
and \( (x-b)^{2}+(y-a)^{2}=c^{2} \) is
\( \sqrt{4 c^{2}-2(a-b)^{2}} \)
Hence find the condition that the two
circles may touch.
Subject: Chemistry
Consider the below shown reaction.
\( \boldsymbol{A} \boldsymbol{g}_{2} \boldsymbol{S}+\boldsymbol{N} \boldsymbol{a} \boldsymbol{C} \boldsymbol{N} \longrightarrow(\boldsymbol{A}) \)
\( (A)+Z n \longrightarrow(B) \)
If \( (B) \) is a metal, then \( (A) \) and \( (B) \) are, respectively:
A \( \cdot N a_{2}\left[Z n(C N)_{4}\right] \) and \( Z n \)
В. \( \operatorname{Na}\left[A g(C N)_{2}\right] \) and \( A g \)
c. \( N a_{2}\left[A g(C N)_{4}\right] \) and \( A g \)
D. \( N a_{3}\left[A g(C N)_{4}\right] \) and \( A g \)
Subject: Chemistry
Statement 1: For an element with an
atomic number of \( 17, \) the most probable
oxidation number is +1
Statement 2: The outer energy level of the halogen family has a tendency to add one electron to itself
A. Both Statement 1 and Statement 2 are correct and Statement 2 is the correct explanation of Statement 1
B. Both Statement 1 and Statement 2 are correct and Statement 2 is not the correct explanation of Statement 1.
c. statement 1 is correct but Statement 2 is not correct
D. Statement 1 is not correct but Statement 2 is correct
E. Both the Statement 1 and Statement 2 are not correct.
Subject: Maths
If \( A \) is \( 3 \times 4 \) matrix and \( B \) is a matrix
such that \( A^{\prime} B \) and \( B^{\prime} A \) are both
defined, then the order of \( B \) is
\( \mathbf{A} \cdot 4 \times 4 \)
B. \( 3 \times 3 \)
c. \( 3 \times 4 \)
D. \( 4 \times 3 \)
Subject: Maths
O' is the centre of the circle \( \angle Q P S= \)
\( \mathbf{6 5}^{\circ} ; \angle \boldsymbol{P} \boldsymbol{R} \boldsymbol{S}=\mathbf{3 3}^{\circ}, \)then \( \angle \boldsymbol{P S Q}= \)
A .90
B. \( 82^{\circ} \)
\( c \cdot 102 \)
\( D \cdot 42 \)
Subject: Maths
If \( \omega, \omega^{2} \) be the complex cube roots of
unity, and \( \boldsymbol{f}(\boldsymbol{x})= \)
\[
\left|\begin{array}{ccc}
\boldsymbol{x}+\mathbf{1} & \boldsymbol{\omega} & \boldsymbol{\omega}^{2} \\
\boldsymbol{\omega} & \boldsymbol{x}+\boldsymbol{\omega}^{2} & \mathbf{1} \\
\boldsymbol{\omega}^{2} & \boldsymbol{1} & \boldsymbol{x}+\boldsymbol{\omega}
\end{array}\right|
\]
then \( \int_{\frac{-\pi}{2}}^{\frac{\pi}{2}} f(x) d x \) is equal to?
A \( \cdot \frac{x^{4}}{4} \)
в. \( \frac{3}{4} x \)
c. 0
D. None of the above
Subject: Maths
If the coefficients of \( x^{2} \) and \( x^{3} \) are both
zero, in the expansion of the expression \( \left(1+a x+b x^{2}\right)(1-3 x)^{15} \) in powers of \( x \)
then the ordered pair \( (a, b) \) is equal to:
A. (28,315)
B. (-54,315)
c. (-21,714)
D. (24,861)
Subject: Chemistry
For a reaction \( A+2 B \longrightarrow C, \) rate is
\( \operatorname{given} \mathrm{by}+\frac{\boldsymbol{d}[\boldsymbol{C}]}{\boldsymbol{d} \boldsymbol{t}}=\boldsymbol{k}[\boldsymbol{A}][\boldsymbol{B}], \) hence the
order of the reaction is:
A . 3
B. 2
c. 1
\( D \)
Subject: Physics
A mass \( m, \) which is attached to a
spring with constant \( k, \) oscillates on a
horizontal table, with amplitude \( A . \) At
an instant when the spring is stretched by \( \sqrt{3} A / 2, \) a second mass \( m \) is dropped
vertically onto the original mass and immediately sticks to it. What is the amplitude of the resulting motion?
A \( \cdot \frac{\sqrt{3}}{2} A \)
B. \( \sqrt{\frac{7}{8}} A \)
c. \( \sqrt{\frac{13}{16}} A \)
D. \( \sqrt{\frac{2}{3}} A \)
Subject: Physics
An ideal gas follows a process described by \( \boldsymbol{P} \boldsymbol{V}^{2}=\boldsymbol{C} \) from \( \left(\boldsymbol{P}_{1}, \boldsymbol{V}_{1}, \boldsymbol{T}_{1}\right) \)
to \( \left(P_{2}, V_{2}, T_{2}\right)(\mathrm{C} \text { is a constant }) . \) Then
A. If \( P_{1}>P_{2} \) then \( T_{2}>T_{1} \)
B. If \( V_{2}>V_{1} \) then \( T_{2}<T_{1} \)
c. If \( V_{2}>V_{1} \) then \( T_{2}>T_{1} \)
D. If \( P_{1}>P_{2} \) then \( V_{2}>V_{2} \)
Subject: Physics
A block of mass \( 4 k g \) is kept over a rough horizontal surface. The coefficient of friction between the block
and the surface is 0.1. At \( t=0,(3 \hat{i}) \frac{m}{s} \)
velocity is imparted to the block and simultaneously \( (-2 \hat{i}) N \) force starts acting on it. Its displacment in first \( 5 s \) is
A. \( 8 i \)
в. \( -8 \hat{i} \)
\( c \cdot 3 i \)
D. \( -3 \hat{i} \)
Subject: Maths
Let \( f(x)=\frac{x^{2}-x}{x^{2}+2 x}, \) then \( \frac{d}{d x}\left[f^{-1}(x)\right] \) is
equal to
\( \mathbf{A} \cdot-\frac{3}{(1-x)^{2}} \)
B. \( \frac{3}{(1-x)^{2}} \)
c. \( \frac{1}{(1-x)^{2}} \)
D. \( -\frac{1}{(1-x)^{2}} \)
Subject: Physics
Assertion
The strain present in the material after
unloading is called the residual strain or plastic strain and the strain
disappears during unloading is termed as recoverable or elastic strain.
Reason
After yieild point, there is some residual stress left in an material on unloading.
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
Unpolarized light passes through two
polaroids, the axis of one is vertical and
that of the other is \( 30^{\circ} \) to the vertical.
What is the orientation and intensity of
the transmitted light?
A. Plane polarized at \( 60^{\circ} \) to the vertical and having intensity \( \frac{l_{0}}{4} \)
B. Plane polarized at \( 30^{\circ} \) to the vertical and having intensity of \( \frac{3 l_{0}}{8} \)
C. Plane polarized at \( 30^{\circ} \) to the vertical and having intensity \( \frac{l_{0}}{2} \)
D. No light passes