AkshitPareek2004/jee-question-analyzer-data huggingface dataset:
Subject: Maths
One angle of a six-sided polygon is \( 140^{\circ} \)
and the other angles are equal. Find the measure of each equal angle.
\( \mathbf{A} \cdot 116^{\circ} \)
B . \( 130^{\circ} \)
c. \( 120^{\circ} \)
D. \( 110^{\circ} \)
Subject: Chemistry
An oxy acid contains three hydrogen
atoms, one phosphorus atom and four oxygen atoms. Write the formula of the
compound formed by the negative radical of the given acid with ammonium ion
\( \mathbf{A} \cdot\left(N H_{4}\right)_{2} P O_{4} \)
В. \( N H_{4} P O_{3} \)
c. \( M H_{4} P O_{3} \)
D. \( \left(N H_{4}\right)_{3} P O_{4} \)
Subject: Physics
A gas has a density of 10 particles \( / m^{3} \) and a molecular diameter of \( 0.1 \mathrm{m} \). What
is its mean free path?
\( \mathbf{A} \cdot 2.25 m \)
в. \( 1 m \)
\( c .3 m \)
D. \( 0.25 m \)
Subject: Maths
f \( a, b, c \) are \( p \) th \( , q \) thand \( r \) th terms of a
\( \mathrm{GP}, \) then \( \left|\begin{array}{lll}\log \boldsymbol{a} & \boldsymbol{p} & \mathbf{1} \\ \log \boldsymbol{b} & \boldsymbol{q} & \mathbf{1} \\ \log \boldsymbol{c} & \boldsymbol{r} & \mathbf{1}\end{array}\right| \) is equal to
\( \mathbf{A} \cdot \mathbf{0} \)
B.
c. \( \log a b c \)
D. none of these
Subject: Physics
In the following circuit, each resistor has a resistance of \( 15 \Omega \) and the battery
has an e.m.f. of \( 12 V \) with negligible
internal resistance.

When a resistor of resistance \( \boldsymbol{R} \) is
connected between \( D \& F, \) no current
flows through the galvanometer (not
shown in the figure) connected
between \( C \& F \). Calculate the value of \( R \)
A \( .10 \Omega \)
B. \( 15 \Omega \)
\( c .5 \Omega \)
D. 30\Omega
Subject: Chemistry
Which one is/ are correct among the
following?

Given, the half cell emf's \( E_{C u^{+2} / C u}^{0}= \)
\( \mathbf{0 . 3 3 7}, \boldsymbol{E}_{\boldsymbol{C u}^{+1} / \boldsymbol{C u}}^{\mathbf{0}}=\mathbf{0 . 5 2 1} \)
A . \( C u^{+1} \) disproporationates
B. \( C u \) and \( C u^{2+} \) comproportionates (reverse of disproportionation into \( C u^{+} \) )
C. \( E_{C u / C u^{+2}}^{0}+E_{C u^{2} / C u}^{0} \) is positive
D. All of these
Subject: Maths
If \( \vec{a} \) and \( \vec{b} \) are non - zero vectors
which are linearly dependent such that \( \frac{|\vec{a}+\vec{b}|}{|\vec{a}-\vec{b}|}=2,|\vec{b}|>|\vec{a}| \) then
\( \begin{array}{l}\text { A. } \vec{b}=3 \vec{a} \\ \vec{a}\end{array}=3=3 \vec{a} \)
В . \( \vec{b}=-3 \vec{a} \)
c. \( \vec{b}=2 \vec{a} \)
D. \( \vec{b}=-2 \vec{a} \)
Subject: Physics
A block of mass \( \mathrm{m} \) is lying at rest at point \( P \) of a wedge having a smooth semi-circular track of radius R. What
should be the minimum value of \( a_{0} \) so
that the mass canjust reach point \( Q \)
\( A \cdot \frac{q}{2} \)
В. \( \sqrt{g} \)
\( c \cdot g \)
D. Not possible
Subject: Maths
If \( y=A e^{m x}+B e^{n x}, \) show that \( \frac{d^{2} y}{d x^{2}}- \)
\( (\boldsymbol{m}+\boldsymbol{n}) \frac{\boldsymbol{d} \boldsymbol{y}}{\boldsymbol{d} \boldsymbol{x}}+\boldsymbol{m} \boldsymbol{n} \boldsymbol{y}=\mathbf{0} \)
Subject: Physics
Two Particles are dropped simultaneously from the top of a tall
building. Particle 1 has mass \( M_{1} \) and
particle 2 has mass \( M_{2} . \) Find out the
ratio of their momentum just before
they hit the ground? Neglect the air
resistance
A \( \cdot \frac{\sqrt{M_{1}}}{M_{2}} \)
в. \( \frac{M_{1}}{M_{2}} \)
\( \left(\frac{M_{1}}{M_{2}}\right)^{2} \)
D. 1
E. None of the above
Subject: Physics
An object is moving in the \( x-y \) plane
with the position as a function of time \( \operatorname{given} \operatorname{by} \vec{r}=x(t) \hat{i}+y(t) \hat{j} . \) Point \( O \) is at
\( \boldsymbol{x}=\mathbf{0}, \boldsymbol{y}=\mathbf{0 .} \) The object definitely
moving towards 0 when
A \( \cdot v_{x}>0, v_{y}>0 \)
0
B \( \cdot v_{x}<0, v_{y}<0 \)
\( \mathbf{c} \cdot x v_{x}+y v_{y}<0 \)
\( \mathbf{D} \cdot x v_{x}+y v_{y}>0 \)
Subject: Maths
\( \boldsymbol{A}-\boldsymbol{B}= \)
\( \mathbf{A} \cdot A \cup(A \cap B) \)
В . \( B-A \)
\( \mathbf{c} \cdot A-(A \cap B) \)
\( \mathbf{D} \cdot A^{\prime} \cap B \)
Subject: Physics
In the nucleus of helium, if \( F_{1} \) is the net
force between two protons, \( F_{2} \) is the net
force between two neutrons and \( F_{3} \) is the
net force between a proton and a neutron.
Then
A \( \cdot F_{1}=F_{2}=F_{3} \)
в. \( F_{1}>F_{2}>F_{3} \)
c. \( F_{2}>F_{3}>F_{1} \)
D. \( F_{2}=F_{3}>F_{1} \)
Subject: Physics
If the ratio of distances travelled by
freely falling body in the last and last but one second of its motion is \( 7: 5 . \) The
velocity with which the body strikes the
ground is : (Given \( \boldsymbol{g}=\mathbf{9 . 8} \boldsymbol{m s}^{-2} \) )
\( \mathbf{A} \cdot 29.4 \mathrm{ms}^{-1} \)
B. \( 39.2 \mathrm{ms}^{-1} \)
\( \mathbf{c} \cdot 19.6 \mathrm{ms}^{-1} \)
D. \( 49 \mathrm{ms}^{-1} \)
Subject: Physics
A particle is projected from horizontal
making an angle \( 60^{\circ} \) with initial
velocity \( 40 m s^{-1} . \) Find the time taken by
the particle to make angle \( 45^{\circ} \) from
horizontal.
A . \( 1.5 s \)
в. 2.5 \( s \)
\( c .3 .5 s \)
D. 4.5
Subject: Physics
Distance of \( 5^{t h} \) dark fringe from centres
is 4 mm. If \( D=2 m, \lambda=600 n m, \) then
distance between slits is
A. \( 1.35 \mathrm{mm} \)
B . \( 2.00 \mathrm{mm} \)
c. \( 3.25 \mathrm{mm} \)
D. \( 10.35 \mathrm{mm} \)
Subject: Physics
Consider a uniform electric field \( \boldsymbol{E}= \)
\( 3 \times 10^{3} \hat{i} N / C . \) What is the flux of this
field through a square of \( 10 \mathrm{cm} \) on a side whose plane is parallel to the yz plane?
A \( \cdot 30 \mathrm{Nm}^{2} / \mathrm{C} \)
В. \( 40 \mathrm{Nm}^{2} / \mathrm{C} \)
c. \( 50 N m^{2} / C \)
D. \( 60 \mathrm{Nm}^{2} / \mathrm{C} \)
Subject: Physics
A rigid body consists of a \( 3 k g \) mass
connected to a \( 2 k g \) by a massless rod.
The \( 3 k g \) mass is located at \( r_{1}=2 i+ \)
\( 5 j m, \) and the \( 2 k g \) mass at \( r_{2}=4 i+ \)
\( 2 j m . \) Find the length of the rod and the
coordinates of the centre of mass.
Subject: Chemistry
Common salt obtained from Clifton
beach contained \( 60.75 \% \) chlorine while
\( 6.40 \mathrm{g} \) of a sample of common salt from Khewra mine contained 3.888 g of chlorine. State the law illustrated by these chemical combinations.
A. Law of reciprocal proportion
B. Law of multiple proportion
c. Law of constant composition
D. None of the above
Subject: Physics
A radioactive sample at any instant has its disintegration rate 5000 dpm. After 5 minutes, the rate is 1250 dpm.Then, the
decay constant (per minute) is
A \( .0 .4 \ln 2 \)
в. \( 0.2 \ln 2 \)
c. \( 0.1 \ln 2 \)
D. \( 0.8 \ln 2 \)
Subject: Maths
Draw a Venn diagram, showing sub-set relations of the following sets. \( \boldsymbol{A}=\{\mathbf{2}, \boldsymbol{4}\} \quad \boldsymbol{B}=\left\{\boldsymbol{x} \mid \boldsymbol{x}=\boldsymbol{2}^{n}, \boldsymbol{n} \leq\right. \)
\( \mathbf{5}, \boldsymbol{n} \in \boldsymbol{N}\} \)
\( C=\{x \mid x \text { is an even natural number } \leq \)
\( \mathbf{1 6}\} \)
Subject: Maths
Three numbers \( x, y \) and \( z \) are in
arithmetic progressions. If \( \boldsymbol{x}+\boldsymbol{y}+\boldsymbol{z}= \)
-3 and \( x y z=8, \) then \( x^{2}+y^{2}+z^{2} \) is
equal to
\( A \cdot 0 \)
B. 10
\( c \cdot 21 \)
D. 20
Subject: Physics
Identify the dimension of electric potential,
A \( \cdot L^{2} M T^{-3} I^{-1} \)
B . \( L^{1} M T^{-2} I^{-1} \)
\( \mathbf{c} \cdot L^{-2} M T^{-2} I^{-1} \)
D. none of the above
Subject: Chemistry
\( Z n\left|Z n^{2+}(a q)\right|\left|C u^{2+}(a q)\right| C u . E^{o} \) for \( C u \)
and \( Z n \) are 0.35 and -0.76
respectively:
Find EMF of cell (nearest integer) if
\( Z n^{2+} \) and \( C u^{2+} \) are 1 M each.
Subject: Physics
A heater coil operates at \( 1200 v \) when
connected to a \( 240 W \) supply.The
resistivity and area of across section of the coil are :
A \( \cdot A=\frac{\rho l}{7000} \)
в. \( A=\frac{\rho l}{8000} \)
c. \( _{A}=\frac{\rho l}{6000} \)
D. \( _{A}=\frac{\rho l}{600} \)
Subject: Maths
Consider the points \( \boldsymbol{A}(\mathbf{0}, \mathbf{1}) \) and \( \boldsymbol{B}(\mathbf{2}, \mathbf{0}) \)
and the \( P \) be a point on the line \( 4 x+ \)
\( 3 y+9=0 . \) Coordinates of \( P \) such that
\( |\boldsymbol{P} \boldsymbol{A}-\boldsymbol{P} \boldsymbol{B}| \) is maximum are
\( \mathbf{A} \cdot\left(-\frac{12}{5}, \frac{17}{5}\right) \)
B \( \cdot\left(-\frac{18}{5}, \frac{9}{5}\right) \)
\( ^{\mathbf{C}} \cdot\left(-\frac{6}{5}, \frac{17}{5}\right) \)
D \( \cdot(0,-3) \)
Subject: Physics
The velocity of the wind over the surface
of the wing of an aeroplane is \( 80 \mathrm{ms}^{-1} \)
and under the wing \( 60 \mathrm{ms}^{-1} \). If the area
of the wing is \( 4 \mathrm{m}^{2} \), the dynamic lift experienced by the wing is [ density of \( \left.\operatorname{air}=1.3 \mathrm{kg} . \mathrm{m}^{-3}\right] \)
A. 3640 N
в. 7280 N
c. \( 14560 \mathrm{N} \)
D. 72800 N
Subject: Physics
Assertion
A beam of white light gives a spectrum on passing through a hollow prism.
Reason

Speed of light outside the prism is different from the speed of light inside
the prism.
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
ff \( f(x)\left|\begin{array}{cccc}x & & \cos x & e^{x^{2}} \\ \sin & x & x^{2} & \sec x \\ \tan x & x^{4} & 2 x^{2}\end{array}\right| \) then
\( \int_{-\pi / 2}^{\pi / 2} \boldsymbol{f}(\boldsymbol{x}) \boldsymbol{d} \boldsymbol{x}= \)
A .
B.
\( c \cdot 2 \)
\( D \)
Subject: Physics
A block of mass \( 5 k g \) is on a rough horizontal surface and is at rest. Now a
force of \( 24 N \) is imparted to it with negligible impluse. If the coefficient of
kinetic friction is 0.4 and \( g=9.8 m / s^{2} \)
then the acceleration of the block is
A \( \cdot 0.26 m / s^{2} \)
B. \( 0.39 \mathrm{m} / \mathrm{s}^{2} \)
c. \( 0.69 m / s^{2} \)
D. \( 0.88 m / s^{2} \)
Subject: Chemistry
Electrolysis is carried out in three cells:
\( (A)-1.0 M C u S O_{4}, \) Pt electrodes;
\( (B)-1.0 M C u S O_{4}, \) Copper electrodes;
\( (C)-1.0 M K C I, \) Pt electrodes. If volume
of
electrolytic solution is maintained
constant in
each of the cells, which is correct set of
\( \mathrm{pH} \)
changes in \( (A),(B) \) and \( (C) \) cells respectively:
A. increase in all the three
B. decrease in all the three
c. increase, constant, increase
D. decrease, constant, increase
Subject: Chemistry
Gold is also extracted by cyanide
process as in case of silver.
Write the reactions.
\( \mathbf{A} \cdot 2\left[A u(C N)_{2}\right]^{-}+Z n \rightarrow\left[Z n(C N)_{4}\right]^{2-}+2 A u \downarrow \)
\( \mathbf{B} \cdot 4\left[A u(C N)_{2}\right]^{-}+Z n \rightarrow\left[Z n(C N)_{4}\right]^{2-}+4 A u \downarrow \)
\( \mathbf{c} \cdot\left[A u(C N)_{2}\right]^{-}+Z n \rightarrow\left[Z n(C N)_{4}\right]^{2-}+A u \downarrow \)
D. None of these
Subject: Chemistry
In a first-order reaction, \( \boldsymbol{A} \longrightarrow \boldsymbol{B} \), if \( \boldsymbol{k} \) is
rate constant and initial concentration
of the reactant \( A \) is \( 0.5 ~ M \) then half-life
is:
A \( \cdot \frac{\log 2}{k} \)
в. \( \frac{\log 2}{k \sqrt{0.5}} \)
\( c \cdot \frac{\ln 2}{k} \)
D. \( \frac{0.693}{0.5 k} \)
Subject: Chemistry
Which of the following reagents maybe used to distinguish between but-2-yne and but-1-yne.
\( \mathbf{A} \cdot B r_{2} \) in \( C C l_{4} \)
B. Dilute \( K M n O_{4} \)
c. concentrated \( H_{2} S O_{4} \)
D. Ammonical \( C u C l \)
Subject: Chemistry
\( 5 g \) of unknown gas has pressure \( P \) at a
temperature \( \boldsymbol{T} \boldsymbol{K} \) in a vessel. On
increasing the temperature by \( 50^{\circ} \mathrm{C}, 1 \mathrm{g} \) of the gas was given out to maintain the pressure \( \boldsymbol{P} \). The original temperature
was:
A . \( 73 K \)
в. \( 100 K \)
c . \( 200 K \)
D. none of these
Subject: Physics
A particle of mass \( m \) is subjected to an attractive central force of magnitude
\( k / r^{2}, k \) being a constant. If at the instant when the particle is at an extreme position in its closed orbit, at a
distance \( a \) from the centre of force, its
speed is \( (k / 2 m a), \) if the distance of other extreme position is \( b \). Find \( a / b \)
\( A \cdot 4 \)
B. 3
\( c \cdot 5 \)
D. 6
Subject: Chemistry
Which of the following statements is/are correct for the Lanthanoids?
A. The 4f electrons do not take part in bonding
B. The 4f electrons can neither be removed to produce ions nor be made to take part in crystal field stabilization of complexes
c. The 4 felectrons in the antepenultimate shell are very effectively shielded by the 5 s and 5 p electrons
D. All of the above
Subject: Chemistry
Write the electronic configuration of the
\( C a^{2+} \) in absence of Aufbau Principle.
A \( \cdot 1 s^{2}, 2 s^{2} 2 p^{6}, 3 s^{2} 3 p^{6} \)
B \( \cdot 1 s^{2}, 2 s^{2} 2 p^{6}, 3 s^{3} 3 p^{3} 4 d^{3} \)
c. \( 1 s^{2}, 2 s^{2} 2 p^{6}, 3 s^{2} 3 p^{5} 4 d^{1} \)
D. none of these
Subject: Chemistry
\( \mathbf{2} N \boldsymbol{a} \boldsymbol{O} \boldsymbol{H}+\boldsymbol{S} \boldsymbol{O}_{2} \rightarrow ? \)
A \( \cdot N a_{2} O+H_{2}+S O_{2} \)
в. \( N a_{2} S O_{3}+H_{2} O \)
c. \( N a_{2} S O_{3}+H_{2} \)
D. \( N a_{2} O+H_{2}+O_{2} \)
Subject: Physics
The velocity of a body of rest mass \( m_{o} \) is \( \frac{\sqrt{3}}{2} c(\text { where } c \) is the velocity of light in vacuum). The mass of this body is :
\( ^{\mathbf{A}} \cdot\left(\frac{\sqrt{3}}{2}\right) m_{o} \)
B \( \cdot\left(\frac{1}{2}\right) m_{o} \)
\( \mathrm{c} \cdot 3 m_{0} \)
D. \( 2 m_{o} \)
Subject: Chemistry
What is the IUPAC name of \( \boldsymbol{C H}_{3} \boldsymbol{C H}= \)
\( \boldsymbol{C H}-\boldsymbol{C O O H} ? \)
A. 2-Butenoic acid
B. Crotonic acid
c. 2-Butanoic acid
D. 3-Butenoic acid
Subject: Physics
A \( 6 k g \) block is kept over a rough surface
with coefficients of friction \( \mu_{s}= \)
0.6 and \( \mu_{4}=0.4 \) as shown in figure.
time varying force \( \boldsymbol{F}=\mathbf{4} \boldsymbol{t}(\boldsymbol{F} \) in newton
and \( t \) in \( \operatorname{second} \) ) is applied on the block
as shown. Plot a graph between acceleration of block and time. (Take
\[
\begin{array}{c}
\left.\boldsymbol{g}=\mathbf{1 0 m} / \boldsymbol{s}^{2}\right) \\
\boldsymbol{6} \mathbf{k g} \quad \boldsymbol{6} \mathbf{k g} \\
\boldsymbol{\mu}_{\mathbf{5}}=\mathbf{0 . 6} \\
\boldsymbol{\mu}_{\mathbf{k}}=\mathbf{0 . 4}
\end{array}
\]
Subject: Physics
The bulk modulus of a metal is
\( 10^{10} N / m^{2} \) and Poisson's ratio \( 0.20 . \) If average distance between the
molecules is \( 3 A \) then the inter
atomic force constant :
A. \( 5.4 N / m \)
в. \( 7.5 N / m \)
c. \( 7.6 N / m \)
D. 30N/m
Subject: Chemistry
\( 50 \mathrm{ml} \) of a certain sample of \( \mathrm{H}_{2} \mathrm{O}_{2} \) gives
\( 1200 \mathrm{ml} \) of \( O_{2} \) at STP. The volume
strength of \( \boldsymbol{H}_{2} \boldsymbol{O}_{2} \) is:
A . 22.4
B. 20
c. 24 v
D. 11.2 V
Subject: Physics
What is the potential difference across
a 64.0 microfarad capacitor if the
charge on the positive plate is +16.0 microcoulombs?
A. \( 4.0 V \)
B. \( 0.25 V \)
\( c .1024 V \)
D. \( 2.0 V \)
E . \( 32.0 V \)
Subject: Chemistry
Consider occurance of the halogen family in the periodic table and choose
true statements.

Statement I. Fluorine is the most active
nonmetallic element in the periodic
table

Statement II. As you move down the family the state of the halogens is from a solid to a gaseous state. Statement III. By filling the outermost d orbital, the halogen elements can be converted to ions.
A. I and III
B. II only
c. I and ॥
D. I only
E. Il and III
Subject: Biology
Why does synthesis of DNA proceed only
in the \( 5^{\prime} \) to \( 3^{\prime} \) direction?
A. DNA polymerases can only add nucleotides to the \( 3^{\prime} \) end of a polynucleotide strand.
B. The \( 3^{\prime} \) end of the polynucleotide molecule is more electronegative than the \( 5^{\prime} \) end.
c. This is the direction in which the two strands of DNA unzip
D. The chromosomes are always aligned in the \( 5^{\prime} \) to \( 3^{\prime} \) direction in the nucleus
Subject: Physics
Water flows out of a pipe and hits a wall. When the jet of water hits the wall, it has horizontal velocity v and crosssectional area A. The density of the water is \( \rho . \) The water does not rebound
from the wall. What is the force exerted
on the ball by the water?
A. \( \frac{\rho v}{A} \)
в. \( \frac{p v^{2}}{A} \)
\( c \cdot \rho A v \)
D \( \cdot \rho A v^{2} \)
Subject: Maths
If length of a rectangle is \( 5 \mathrm{cm} \) and
breadth of the rectangle is \( 12 \mathrm{cm} . \) Find the area of the rectangle.
\( \mathbf{A} \cdot 25 c m^{2} \)
В. \( 60 \mathrm{cm}^{2} \)
\( \mathbf{c} \cdot 31 c m^{2} \)
D. \( 12 \mathrm{cm}^{2} \)
Subject: Physics
A number of discs, each of momentum
Mkgm/s are striking a wall at the rate
of \( n \) discs per minute. The force associated with these discs, in
newtons, would be
A. \( \frac{M n}{60} \)
в. \( 60 M n \)
c. \( \frac{M}{60 n} \)
D. \( \frac{n}{60 M} \)
Subject: Chemistry
An aqueous solution of an unknown
compound (X) gives the following reactions
(i) It gives a brown precipitate with
alkaline \( K M n O_{4} \) solution
(ii) It forms \( H C l \) and evolves \( O_{2} \) when
reacted with \( C l_{2} \) gas.
(iii) It liberates \( I_{2} \) from an acidified \( \mathrm{K} \)
solution
(iv) It gives orange yellow color with acidified titanic sulfate solution.
Identify \( \boldsymbol{X} \)
Subject: Maths
The following table gives the
distribution of expenditures of different
families on education. Find the mean
expenditure on education of a family.
\( \begin{array}{ll}\text { Expenditure (in. Rs.) } & \text { No. of families } \\ 1000-1500 & 24 \\ 1500-2000 & 10 \\ 2000-2500 & 33 \\ 2500-3000 & 28 \\ 3000-3500 & 30 \\ 3500-4000 & 22 \\ 4000-4500 & 16 \\ 4500-5000 & 7\end{array} \) mean is 2823.53
If true then enter 1 and if false then
enter 0
Subject: Maths
A plane meets the co-ordinate axes in A,B,C such that the centroid of the
triangle \( A B C \) is the point \( (p, q, r) . \) The
equation of the plane is
A \( \cdot \frac{x}{p}+\frac{y}{q}+\frac{z}{r}=0 \)
В \( \cdot \frac{x}{p}+\frac{y}{q}+\frac{z}{r}=1 \)
c. \( \frac{x}{p}+\frac{y}{q}+\frac{z}{r}=2 \)
D. none of these
Subject: Chemistry
Which of the following orders is/are
incorrect?
This question has multiple correct options
\( \mathbf{A} \cdot H_{3} P O_{4}>H_{3} P O_{3}>H_{3} P O_{2} \) (reducing character)
B. \( N_{2} O<N O<N_{2} O_{3}<N_{2} O_{5} \) (oxidation state of
nitrogen atom)
\( \mathbf{C} \cdot N H_{3}>P H_{3}>A s H_{3}>S b H_{3}(\text { basicity }) \)
D \( \cdot S b H_{3}>N H_{3}>A s H_{3}>P H_{3} \) (reducing character)
Subject: Physics
The given diagram shows a hill with four labelled positions \( \mathrm{W}, \mathrm{X}, \mathrm{Y} \) and \( \mathrm{Z} \) When a ball is rolled down the hill, then
from which position will it finish rolling
with the greatest speed?
A. Position \( \mathrm{w} \)
B. Position \( x \)
c. Position Y
D. Position z
Subject: Maths
The median of an arranged series of \( n \) even observations, will be
A \( \cdot\left(\frac{n+1}{2}\right) \) th term
B. \( \left(\frac{n}{2}\right) \) th term
c. \( \left(\frac{n}{2}+1\right) \)
D. Mean of \( \left(\frac{n}{2}\right) \) th and \( \left(\frac{n}{2}+1\right) \) th terms
Subject: Chemistry
In the reaction sequence:
Cyclohexane \( \frac{h \nu / C l_{2}}{\longrightarrow}(X) \frac{a l c . K O H / \Delta}{\longrightarrow} \)
\( (\boldsymbol{Y}) \frac{(i) \boldsymbol{O}_{3}}{(i i) \boldsymbol{H}_{2} \boldsymbol{O} / \boldsymbol{Z} \boldsymbol{n}}(\boldsymbol{Z}) \)
\( (Z) \) will be :
A. Hexanal
B. 2- Hexanone
c. 3 - Hexanone
D. Hexanedial
Subject: Chemistry
Match list 1 with list 2
List 1
A) Aspirin
p) Non-narcotic
q) Acts against gram-positive and
B) Ofloracin \( \quad \) gram-negative bacteria
C) Penicillin G antibiotic
r) Narrow spectrum
D) Ibuprofen
s) Broad spectrum antibiotic
t) Anti inflammatory drug
\( A \cdot a-p, b-s, c-r, d-t \)
B. \( a-r, b-p, c-q, d-t \)
c. \( a-s, b-s, c-r, d-p \)
D. a-p,b-s,c-t,d-r
Subject: Chemistry
If optical rotation produced by the
compound \( [A] \) is \( +65^{0}, \) then produced
by the compound [B] is?
\( [\mathrm{A}] \)
\( [\mathrm{B}] \)
\( a \cdot k b^{-} \)
\( \mathbf{A} \cdot+65^{0} \)
B . \( -65^{\circ} \)
c. zero
D. Unpredictable
Subject: Physics
A student determined to test the law of
gravity for himself walks off a sky scraper \( 320 \mathrm{m} \) high with a stopwatch in hand and starts his free fall (zero initial
velocity). 5 second later, superman
arrives at the scene and dives off the
roof to save the student. What must be
superman's initial velocity in order that he can save the student. [Assume that
the superman's acceleration is that of any freely falling body.] \( \left(g=10 m / s^{2}\right) \)
\( A .98 \mathrm{m} / \mathrm{s} \)
в. \( \frac{275}{3} \mathrm{m} / \mathrm{s} \)
c. \( \frac{187}{2} \mathrm{m} / \mathrm{s} \)
D. It is not possible.
Subject: Physics
The output of a step down transformer
is measured to be \( 48 V \) when connected
to a \( 12 W \) bulb. The value of peak
current is
A \( \cdot \sqrt{2} A \)
в. \( \frac{1}{2 \sqrt{2}} A \)
c. \( \frac{1}{4} A \)
D. \( \frac{1}{\sqrt{2}} A \)
Subject: Maths
Use the given figure to find \( : \boldsymbol{n}\left(\boldsymbol{B}^{\prime} \cap \boldsymbol{A}\right) \)
Given, \( n(\xi)=52, n(A)=43 \) and
\( \boldsymbol{n}(\boldsymbol{B})=\mathbf{2 7} \)
Subject: Physics
The temperature of a normal human
being is
A \( \cdot 31^{\circ} \mathrm{C} \)
В. \( 37^{\circ} \mathrm{C} \)
\( \mathbf{c} \cdot 20^{\circ} C \)
D. \( 50^{\circ} \mathrm{C} \)
Subject: Maths
The probability distribution of a random variable \( X \) is given below:
\[
\begin{array}{ccccc}
\mathbf{x}: & \mathbf{0} & 1 & \mathbf{2} & \mathbf{3} \\
\mathbf{P}(\mathbf{x}): & \mathbf{k} & \frac{k}{2} & \frac{k}{4} & \frac{k}{8} \\
& & & \\
\text { Determine } \boldsymbol{P}(\boldsymbol{X} \leq \mathbf{2})+\boldsymbol{P}(\boldsymbol{X}>\mathbf{2})
\end{array}
\]
Subject: Physics
If we assume kinetic energy of a proton is equal to energy of the photon, the ratio of de Broglie wave length of proton to photon is proportional to:
A. \( E \)
\( \mathbf{B} \cdot E^{-1 / 2} \)
\( c \cdot E^{1 / 2} \)
D. \( E^{3 / 2} \)
Subject: Chemistry
While charging the lead storage battery,
This question has multiple correct options
\( \mathbf{A} \cdot P b S O_{4} \) on anode is reduced to \( P b \)
B. \( P b S O_{4} \) on cathode is reduced to \( P b \)
\( \mathrm{C} \cdot P b S O_{4} \) on cathode is oxidised to \( P b \)
D. \( P b S O_{4} \) on anode is oxidised to \( P b O_{2} \)
Subject: Physics
(ii) while climbing up a slope of height
\( 10 \mathrm{m}\left(g=10 m s^{-2}\right) ? \)
A \( .5 k J^{2} \)
\( \begin{array}{ll}2 & \text { 2 } \\ \text { 2 } & \text { 2 }\end{array} \)
в. \( 50 k J \)
c. \( 100 k J^{2} \)
D. \( 5 k J \)
Subject: Maths
If \( \cos \alpha+2 \cos \beta+3 \cos \gamma=\sin \alpha+ \)
\( 2 \sin \beta+3 \sin \gamma=0, \) then the value of
\( \sin 3 \alpha+8 \sin 3 \beta+27 \sin 3 \gamma \) is
\( A \cdot \sin (a+b+\gamma) \)
B. \( 3 \sin (\alpha+\beta+\gamma) \)
c. \( 18 \sin (\alpha+\beta+\gamma) \)
D. \( \sin (\alpha+2 \beta+3) \)
Subject: Maths
If \( \boldsymbol{A}=\left[\begin{array}{lll}\boldsymbol{a} & \boldsymbol{b} & \boldsymbol{c} \\ \boldsymbol{b} & \boldsymbol{c} & \boldsymbol{a} \\ \boldsymbol{c} & \boldsymbol{a} & \boldsymbol{b}\end{array}\right], \) where \( \boldsymbol{a}, \boldsymbol{b}, \boldsymbol{c} \) are real
positive numbers \( a b c=1 \) and \( A^{T} A=1 \)
then:
This question has multiple correct options
\( \mathbf{A} \cdot a b+b c+c a=0 \)
B. \( a^{2}+b^{2}+c^{2}=1 \)
c. \( a^{3}+b^{3}+c^{3}=4 \)
D. \( a+b+c=2 \)
Subject: Maths
Eccentricity of ellipse \( \frac{x^{2}}{a^{2}+1}+\frac{y^{2}}{a^{2}+2}=1 \)
is \( \frac{1}{\sqrt{3}} \) then length of Latusrectum is
\( A \cdot \frac{8}{\sqrt{3}} \)
B. \( \frac{4}{\sqrt{3}} \)
\( c \cdot 2 \sqrt{3} \)
D. \( \frac{\sqrt{3}}{2} \)