AkshitPareek2004/jee-question-analyzer-data huggingface dataset:
Subject: Maths
The linear relation between the vectors
\( \boldsymbol{a}+\boldsymbol{3} \overline{\boldsymbol{b}}+\boldsymbol{4} \boldsymbol{c}, \overline{\boldsymbol{a}}-\boldsymbol{2} \overline{\boldsymbol{b}}+\boldsymbol{3} \overline{\boldsymbol{c}}, \overline{\boldsymbol{a}}+\mathbf{5} \overline{\boldsymbol{b}}-\boldsymbol{2} \overline{\boldsymbol{c}} \)
\( 6 \bar{a}+14 \bar{b}+4 \bar{c} \) is
\( \mathbf{A} \cdot(\bar{a}+3 \bar{b}+4 \bar{c})+2(\bar{a}-2 \bar{b}+3 \bar{c})+ \)
\[
\text { 2 }(\bar{a}+5 \bar{b}-2 \bar{c})-1(6 \bar{a}+14 \bar{b}+4 \bar{c})=\overline{0}
\]
B . \( 1(\bar{a}+3 \bar{b}+4 \bar{c})+2(\bar{a}-2 \bar{b}-3 \bar{c})+ \)
\[
\text { 3 }(\bar{a}+5 \bar{b}-2 \bar{c})-2(7 \bar{a}+14 \bar{b}+4 \bar{c})=\overline{0}
\]
C \( .1(\bar{a}+3 \bar{b}+4 \bar{c})+2(\bar{a}-2 \bar{b}+3 \bar{c})+ \)
\[
\text { 3 }(\bar{a}+5 \bar{b}-2 \bar{c})-1(6 \bar{a}+14 \bar{b}+4 \bar{c})=\overline{0}
\]
D. \( (\bar{a}+3 \bar{b}+4 \bar{c})+(\bar{a}-2 \bar{b}+3 \bar{c})+ \)
\[
(\bar{a}+5 \bar{b}-2 \bar{c})-(6 \bar{a}+14 \bar{b}+4 \bar{c})=\overline{0}
\]
Subject: Physics
A ball is thrown vertically upwards from the top of a tower with an initial velocity
of \( 19.6 m s^{-1} . \) The ball reaches the
ground after \( 5 s . \) Calculate \( :(i) \) the height of the tower, (ii) the velocity of ball on
reaching the ground. Take \( g=9.8 m s^{-2} \)
A . \( (i) 24.5 m,(i i) 29.4 m s^{-1} \)
B . (i)24.5m, (ii)19.4 m s \( ^{-1} \)
C \( \cdot(i) 24.5 m,(i i) 28 m s^{-1} \)
D. \( (i) 25 m,(i i) 29.4 \mathrm{m} s^{-1} \)
Subject: Maths
If the straight line, \( 2 x-3 y+17=0 \) is
perpendicular to the line passing through the points (7,17) and \( (15, \beta) \)
then equals:
A . -5
B. \( -\frac{35}{3} \)
c. \( \frac{35}{3} \)
D. 5
Subject: Chemistry
Balanced chemical equations for the following:
Monochloro ethane is hydrolysed with
aqueous KOH:
A \( \cdot C H_{3} C H_{2} C l+K O H \rightarrow C_{2} H_{5} O H+H C l+K_{2} O \)
в. \( C H_{3} C H_{2} C l+K O H \rightarrow C_{2} H_{3} O H+K C l+H_{2} O \)
c. \( C H_{3} C H_{2} C l+K O H \rightarrow C_{2} H_{3} C l+K O H+H_{2} \)
D. \( C H_{3} C H_{2} C l+K O H \rightarrow C_{2} H_{5} O H+K C l+H_{2} O \)
Subject: Maths
Determine the mode of the following
data.
\begin{tabular}{llllll} 
Marks & 10 & 16 & 12 & 19 & 13 \\
Number of Students & 3 & 3 & 4 & 2 & 6 \\
\hline
\end{tabular}
A . 12
B . 13
c. 14
D. 20
Subject: Physics
A body of mass \( 3 k g \) moving with a constant acceleration covers a distance
of \( 10 m \) in the \( 3^{r d} \) second and \( I b m \) in
the \( 4^{t h} \) second respectively. The initial
velocity of the body is:
A \( \cdot 10 m s^{-1} \)
B. \( 8 m s^{-1} \)
\( \mathbf{c} \cdot 5 m s^{-1} \)
D. \( -5 \mathrm{ms}^{-1} \)
Subject: Physics
A plane mirror is inclined at \( 40^{\circ} \) to the
floor. An incident ray parallel to the floor
strikes the mirror and a reflected ray is
formed. What is the angle of reflection?
A \( \cdot 40^{\circ} \)
B. \( 50^{\circ} \)
\( c \cdot 60^{\circ} \)
D. \( 70^{\circ} \)
Subject: Biology
Microorganisms commonly causing
diarrhoeal diseases are
A. Escherichia coli, Shigella, Campylobacter and Bacillus pertussis
B. Clostridium tetani, Giardia, Entamoeba histolytica, Salmonella, Shigella and Escherichia coli
C. Escherichia coli, Giardia, Shigella, Campylobacter and Salmonella
D. Neisseria, Treponema, Escherichia, Giardia, Shigella, Campylobacter and Salmonella
Subject: Maths
\( \boldsymbol{P}(\boldsymbol{x})=\mathbf{5} \boldsymbol{x}^{5}+\mathbf{3} \boldsymbol{x}^{3}-\boldsymbol{7} \boldsymbol{g}(\boldsymbol{x})=\boldsymbol{2} \boldsymbol{x}^{2}+\mathbf{1} \)
Find \( q(x) \) and \( r(x) \) by dividing \( p(x) \) by \( g(x) \)
Subject: Physics
Gravitational force between two point masses \( \mathrm{m} \) and \( \mathrm{M} \) separated by a distance \( r \) is \( F . \) Now if a point mass \( 3 \mathrm{m} \) is placed next to \( \mathrm{m} \), what will be the (a) force on M due to \( m,(b) \) total force on M?
A. \( F=4 F \)
B. \( F=5 F \).
\( \mathbf{c} \cdot F=6 F \)
\( \mathbf{D} \cdot F=7 F \)
Subject: Physics
A double slit is illuminated by light of wave length \( 6000 A^{0} \). The slits are \( 0.1 \mathrm{cm} \)
apart and the screen is placed 1 m away Then the angular position of 10 th maxima is
A . \( 6 \times 10^{-3} r a d \)
B. 6 rad
c. \( 0.006^{\circ} \)
D. \( 6^{\circ} \)
Subject: Maths
\( \left|\begin{array}{ccc}\cos C & \tan A & 0 \\ \sin B & 0 & -\tan A \\ 0 & \sin B & \cos C\end{array}\right| \) has the value
\( \mathbf{A} \cdot \mathbf{0} \)
B.
\( c \cdot \sin A \sin B \cos B \)
D. none of these
Subject: Biology
Match the names of the structures
listed with the functions given. Choose the answer which gives the correct
combination of the alphabets of the
two columns.
\( \mathbf{A} \)
\( A-4, B-1, C-3, D-5 \)
B. A-3, B-2, C-5, D-4
C \( . A-2, B-5, C-1, D-3 \)
D. A-1, B-4, C-5, D-2
Subject: Chemistry
At what velocity ratio \( \frac{v_{e}}{v_{p}} \) are the wavelengths of an electron and a proton
equal?
\( \left(\boldsymbol{m}_{e}=\mathbf{9 . 1} \times \mathbf{1 0}^{-\mathbf{2 8}} \boldsymbol{g} \quad \boldsymbol{\text {and}} \quad \boldsymbol{m}_{\boldsymbol{p}}=\mathbf{1 . 6 7}\right. \)
A. \( 1.2 \times 10^{3} \)
В. \( 1.8 \times 10^{3} \)
c. \( 2.4 \times 10^{3} \)
D. \( 1.6 \times 10^{3} \)
Subject: Chemistry
Molarity is defined as:
A. the number of moles of solute dissolved in one \( d m^{3} \) of
the solution.
B. the number of moles of solute dissolved in \( 1 \mathrm{kg} \) of
solvent
C. the number of moles of solute dissolved in \( 1 d m^{3} \) of the
solvent.
D. the number of moles of solute dissolved in 100 ml of
the solvent.
Subject: Physics
Wires \( A \) and \( B \) are made from the same
material. Wire A has length 12m and weight 50 g, while wire \( B \) is 18 m long and weighs 40 g. Then the ratio \( \left(R_{A} / R_{B}\right) \) of their resistances will be :
\( A \cdot 16 / 45 \)
B. 415
\( c \cdot 8 / 15 \)
D. 419
Subject: Chemistry
The covalent and Van der walls radii of
chlorine respectively are:
\( \mathbf{A} \cdot 1.80 A^{\circ} \& 0.99 A^{\circ} \)
B. \( 0.99 A^{\circ} \) \& \( 1.80 A^{\circ} \)
\( \mathbf{C} \cdot 1.80 A^{\circ} \& 1.80 A^{\circ} \)
D. \( 0.99 A^{\circ} \) \& \( 0.99 A^{\circ} \)
Subject: Physics
\( \mathbf{v}-\mathrm{t} \) graph of a particle moving in a
straight line is as shown in figure. The
whole graph is made up of four straight lines \( P, Q, R \) and \( S . \) These four straight line indicate four type of motions
\( \left(M_{1} \ldots M_{4}\right) \) discussed above. State
which straight line corresponds to which type of motion.
A \( \cdot P \rightarrow M_{2} ; Q \rightarrow M_{1} ; R \rightarrow M_{4} ; S \rightarrow M_{3} \)
B \( . P \rightarrow M_{4} ; Q \rightarrow M_{3} ; R \rightarrow M_{2} ; S \rightarrow M_{1} \)
c. \( P \rightarrow M_{1} ; Q \rightarrow M_{2} ; R \rightarrow M_{4} ; S \rightarrow M_{3} \)
D. \( P \rightarrow M_{1} ; Q \rightarrow M_{2} ; R \rightarrow M_{3} ; S \rightarrow M_{4} \)
Subject: Physics
Two tiny spheres, each of mass \( M, \) and
charges \( +\boldsymbol{q} \) and \( -\boldsymbol{q} \) respectively, are connected by a massless rod of length,
L. They are placed in a uniform electric field an an angle \( \theta \) with the \( \vec{E}\left(\theta=0^{\circ}\right) \)
Calculate the minimum time in which
the dipole axis becomes parallel to the field line.
Subject: Physics
If \( V_{A} \) and \( V_{B} \) denote the potentials of \( A \)
and \( \mathrm{B} \), then the equivalent resistance
between \( A \) and \( B \) in the adjoint electric
circuit is
\( A \cdot 10 \Omega \) if \( V_{A}>V_{B} \)
B. \( 5 \Omega \) if \( V_{A}<V_{B} \)
\( \mathrm{c} \cdot 5 \Omega \) if \( V_{A}>V_{B} \)
D. \( 20 \Omega \) if \( V_{A}>V_{B} \)
Subject: Chemistry
\( A \stackrel{K_{1}}{\longrightarrow} B \stackrel{K_{2}}{\longrightarrow} C, \) if all reaction are 1st
order and \( \frac{\boldsymbol{d}[\boldsymbol{B}]}{\boldsymbol{d}[\boldsymbol{t}]}=\mathbf{0 .} \) Determine \( [\boldsymbol{B}] \)
A \( \cdot\left(K_{1}+K_{2}\right)[A] \)
B . \( \left(K_{1}-K_{2}\right)[A] \)
c. \( \left(K_{1} \times K_{2}\right)[A \)
\( ^{\mathrm{D}} \cdot \frac{K_{1}}{K_{2}} \times[A] \)
Subject: Chemistry
When 100 g of a saturated solution is evaporated at \( 50^{\circ} \mathrm{C}, 50 \mathrm{g} \) of solid is left over. Find the solubility of the
substance at \( 50^{\circ} \mathrm{C} \)
A . 100
B. 50
c. 75
D. 28
Subject: Physics
A rod of length \( 10 \mathrm{cm} \) made up of
conducting and non-conducting material (shaded part is nonconducting). The rod is rotated with constant angular velocity 10 rad/sec
about point \( O \), in constant and uniform
magnetic field of 2 Tesla as shown in figure. The induced emf between the
point \( A \) and point \( B \) of rod will be
В. \( 0.1 v \)
\( c .0 .051 v \)
D. \( 0.064 v \)
Subject: Physics
Three concentric spherical metallic shells \( A, B \) and \( C \) of radii \( a, b \) and \( c(a<b<c) \) have charge densities
\( \sigma,-\sigma \) and \( \sigma \) respectively. If the shells \( A \)
and \( C \) are at same potential, then the
relation between \( a, b \) and \( c \) is
A \( . a+b+c=0 \)
B . \( a+c=b \)
c. \( a+b=c \)
D. \( a=b+c \)
Subject: Chemistry
According to Henry's law, the partial
pressure of \( \operatorname{gas}\left(P_{g}^{\prime}\right) \) is directly proportional to mole fraction of gas in
dissolved state, i.e., \( P_{g a s}^{\prime}=K_{H} . X_{g a s} \)
where, \( \boldsymbol{K}_{\boldsymbol{H}} \) is : Henry's constant. Which
are correct?
This question has multiple correct options
A . \( K_{H} \) is characteristic constant for a given gas-solvent system
B. Higher is the value of \( K_{H} \), lower is solubility of gas for given partial pressure of gas
C. \( K_{H} \) has temperature dependance
D. \( K_{H} \) increases with temperature
Subject: Chemistry
Fluorine reacts with ice and results in
the change:
\[
\begin{array}{r}
\boldsymbol{H}_{2} \boldsymbol{O}(\boldsymbol{s})+\boldsymbol{F}_{2}(\boldsymbol{g}) \longrightarrow \boldsymbol{H} \boldsymbol{F}(\boldsymbol{g})+ \\
\boldsymbol{H O F}(\boldsymbol{g})
\end{array}
\]
i) Justify that this reaction is a redox
reaction.
ii) Write the substances oxidized and
reduced.
iii) Write the name of the substances
which acts as reducing agent and oxidizing agent.
Subject: Physics
Two ideal batteries of emf \( V_{1} \) and \( V_{2} \)
and three resistances \( R_{1}, R_{2} \) and \( R_{3} \)
are connected as shown in the figure.
The current in resistance \( \boldsymbol{R}_{2} \) would be
zero if
This question has multiple correct options
A. \( V_{1}=V_{2} \) and \( R_{1}=R_{2}=R_{3} \)
B . \( V_{1}=V_{2} \) and \( R_{1}=2 R_{2}=R_{3} \)
c. \( V_{1}=2 V_{2} \) and \( 2 R_{1}=2 R_{2}=R_{3} \)
D. \( 2 V_{1}=V_{2} \) and \( 2 R_{1}=R_{2}=R_{3} \)
Subject: Maths
A shopkeeper sells sugar in such a way that the selling price of 950 gm is the same as the cost price of one kg. Find his gain \%.
A \( \cdot 3 \frac{7}{12} \% \)
в. \( _{4} \frac{11}{14} \% \)
c. \( _{5} \frac{5}{19} \% \)
D. \( 6 \frac{9}{14} \% \)
Subject: Maths
A circular flower bed is surmounted by
a path \( 5 \mathrm{m} \) wide as shown in fig.The
diameter of the flowerbed is \( 60 \mathrm{m} \). What
is the area of this path?
\( \mathbf{A} \cdot 735 \pi c m^{2} \)
В. \( 325 \pi c m^{2} \)
\( \mathbf{c} \cdot 635 \pi c m^{2} \)
D. None of these
Subject: Maths
\( A \) pole is slightly inclined towards the
east. \( A t \) two points due west of it at
distances a and \( b \), the angles of
elevation of the top of the pole are \( \alpha \) and
\( \beta \) respectively. The inclination of the pole to the horizon is
A. \( \tan ^{-1} \frac{a+b}{b \operatorname{Cot} \alpha-a \operatorname{Cot} \beta} \)
в. \( \tan ^{-1} \frac{b-a}{b C o t \alpha-a C o t \beta} \)
c. \( \cos ^{-1} \frac{a-b}{b \cos \alpha-a \cos \beta} \)
D. \( \sin ^{-1} \frac{a-b}{b C o t \alpha-a \cot \beta} \)
Subject: Maths
If \( A \) and \( B \) are two independent events such that \( \boldsymbol{P}(\boldsymbol{A})=\mathbf{1} / 2 \) and \( \boldsymbol{P}(\boldsymbol{B})=\mathbf{1} / \mathbf{5} \)
then
This question has multiple correct options
A \( \cdot P(A \cup B)=\frac{3}{5} \)
B. \( P(A \mid B)=\frac{1}{2} \)
\( ^{\mathbf{c}} \cdot P(A \mid A \cup B)=\frac{5}{6} \)
D . \( P\left[(A \cup B) \mid\left(A^{\prime} \cup B^{\prime}\right)\right]=0 \)
Subject: Maths
Find \( n \) if:
\[
\mid \begin{array}{ccc}
1+a^{2}-b^{2} & 2 a b & -2 b \\
2 a b & 1-a^{2}+b^{2} & 2 a \\
2 b & -2 a & 1-a^{2}-b^{2}
\end{array}
\]
\( \left(1+a^{2}+b^{2}\right)^{n} \)
Subject: Biology
Which of the following statements
is/are incorrect?
A. A nucleic acid is a molecule made up of a nitrogenous base, a phosphate group and a 5-carbon sugar
B. A nucleic acid is a molecule made up of a nitrogenous base, a phosphate group and a ribose sugar
C. A nucleic acid is a molecule made up of a nitrogenous base, a phosphate group and a deoxyribose sugar
D. None of the above
Subject: Physics
An analyser examines two adjacent
plane-polarised beams A and B whose planes of vibration are mutually perpendicular. In one position of the analyser, beam B shows zero intensity.
From this position, a rotation of \( 30^{\circ} \)
shows the two beams as matched in
intensity. The intensity ratio I_(A \( \} / I_{-}\{B\} \) of the two beams is
A \( \cdot \sqrt{3} \)
B. \( 1 / 3 \)
c. \( 1 / \sqrt{2} \)
Subject: Chemistry
\( \bigoplus{-}^{\mathrm{cH}=\mathrm{cH}_{2}} \frac{(\mathrm{i}) \mathrm{C}_{2}}{(\mathrm{i}) 2 \mathrm{NaNH}_{2}} \)
\( \left\langle\frac{c}{\mid}_{\mathbf{H}}=\mathrm{cHc}\right. \)
\( \left\langle\frac{c}{\mid}_{\mathbf{H}}=\mathbf{c H N H}_{2}\right. \)
\( \left\langle\frac{c}{\left.\right|_{\mathrm{Cl}}=\mathrm{CH}_{2}}\right. \)
\( \langle c \equiv \mathrm{c} \)
Subject: Chemistry
\( \boldsymbol{C H}_{3} \boldsymbol{C H O}+\boldsymbol{H C H O} \frac{\boldsymbol{H e a t}}{\text {Dil. } \boldsymbol{N a O H}} \)
\( \boldsymbol{A} \frac{\boldsymbol{H}_{3} \boldsymbol{O}^{+}}{\boldsymbol{H} C N} \boldsymbol{B} \)
The structure of compound \( B \) is :
\( \mathbf{A} \cdot C H_{3}-C H-C O O H \)
\( _{O H} \)
в. \( C H_{2}=C H-\underset{I N}{_{I}} \begin{array}{c}C H-O H \\ \end{array} \)
с. \( C H_{3} C H_{2}-C H-C O O H \)
он
D. \( C H_{2}=C H-C H-C O O H \)
o \( _{H} \)
Subject: Chemistry
Potassium dichromate in alkaline
solution, with \( 30 \% \mathrm{H}_{2} \mathrm{O}_{2} \) produces:
A \( \cdot K_{3} C r O_{8} \)
в. \( \operatorname{Cr} \mathrm{O}\left(\mathrm{O}_{2}\right)_{2} \)
\( \mathrm{c} \cdot \mathrm{CrO}_{3} \)
D. \( L_{2} \) Cr \( O_{4} \)
Subject: Maths
OA.OB are the radii of a circle with \( O \)
as centre, the angle \( A O B=120^{\circ} \)

Tangents at \( A \) and \( B \) are drawn to meet
in the point \( C . \) If \( O C \) intersects the circle in the point \( D \), then \( D \) divides
\( O C \) in the ratio
A . 1: 2
B. 1: 3
c. 1: 1
D. 2: 3
Subject: Maths
The order of the differential equation
whose general solution is given by
\( \boldsymbol{y}=\left(\boldsymbol{C}_{1}+\boldsymbol{C}_{2}\right) \sin \left(\boldsymbol{x}+\boldsymbol{C}_{3}\right)-\boldsymbol{C}_{4} \boldsymbol{e}^{\boldsymbol{x}+\boldsymbol{C}_{5}} \)
is
A . 5
B. 4
\( c \cdot 2 \)
D. 3
Subject: Maths
The value of \( a \) for which one root of the
quadratic equation \( \left(a^{2}-5 a+3\right) x^{2}+ \)
\( (3 a-1) x+2=0 \) is twice as large as the other is
A \( \cdot-\frac{2}{3} \)
в. \( \frac{1}{3} \)
\( c \cdot-\frac{1}{3} \)
D. \( \frac{2}{3} \)
Subject: Chemistry
Use of the Data Booklet is relevant to
this question.
\( 2.40 g \) of \( p r o p a n-2-o l \) were mixed
with excess acidified potassium dichromate(VI). The reaction
mixture was then boiled under reflux for
twenty minutes. The organic product
was then collected
by distillation. The yield of product was \( 75.0 \% \)
What mass of product was collected?
A \( .1 .74 g \)
B. \( 1.80 g \)
c. \( 2.22 g \)
D. \( 2.32 g \)
Subject: Maths
Form the differential equation by eliminating the arbitrary constants from the equation \( y=a \cos (2 x+b) \) is
A \( \cdot \frac{d^{2} y}{d x^{2}}+4 y=0 \)
B. \( \frac{d^{2} y}{d x^{2}}-4 y=0 \)
c. \( \frac{d^{2} y}{d x^{2}}+2 y=0 \)
D. \( \frac{d^{2} y}{d x^{2}}+y=0 \)
Subject: Maths
In the figure above, find the value of \( a \)
given that \( \boldsymbol{x} \| \boldsymbol{y} \)
\( \mathbf{A} \cdot b+c \)
B. \( 2 b-c \)
c. \( 180-b+c \)
D. \( 180-b-c \)
Subject: Chemistry
The RMS velocity of hydrogen is \( \sqrt{7} \) times the RMS velocity of nitrogen. If \( \boldsymbol{T} \)
is the temperature of gas, then:
A \( \cdot T_{\left(H_{2}\right)}=T_{\left(N_{2}\right)} \)
B . \( T_{\left(H_{2}\right)}>T_{\left(N_{2}\right)} \)
c. \( T_{\left(H_{2}\right)}<T_{\left(N_{2}\right)} \)
D. \( T_{\left(H_{2}\right)}=\sqrt{7} T_{\left(N_{2}\right)} \)
Subject: Maths
If \( \frac{\cos ^{4} \theta}{x}+\frac{\sin ^{4} \theta}{y}=\frac{1}{x+y} \) then \( \frac{d y}{d x}= \)
A . \( x y \)
B. \( \tan ^{2} \theta \)
\( c \cdot 0 \)
D. \( \left(x^{2}+y^{2}\right) \sec ^{2} \theta \)
Subject: Maths
If \( a, b, c \) are three positive numbers,then the minimum value of the expression \( \frac{\boldsymbol{a b}(\boldsymbol{a}+\boldsymbol{b})+\boldsymbol{b} \boldsymbol{c}(\boldsymbol{b}+\boldsymbol{c})+\boldsymbol{c} \boldsymbol{a}(\boldsymbol{c}+\boldsymbol{a})}{\boldsymbol{b} \boldsymbol{c} \boldsymbol{a}} \)
A . 3
B. 4
\( c .6 \)
\( D \)
Subject: Maths
Find the value of \( f(0) \) so that the
function \( \boldsymbol{f}(\boldsymbol{x})= \)
\( \frac{\mathbf{9 6}\left[\log \left(1+\frac{\boldsymbol{x}}{\mathbf{1 2}}\right)-\log \left(\mathbf{1}-\frac{\boldsymbol{x}}{\mathbf{8}}\right)\right]}{\boldsymbol{x}}, \boldsymbol{x} \neq \)
0 is continuous on [0,8]
Subject: Chemistry
(a) \( \boldsymbol{H}_{2} \boldsymbol{O}_{2}+\boldsymbol{O}_{3} \rightarrow \boldsymbol{H}_{2} \boldsymbol{O}+\mathbf{2} \boldsymbol{O}_{2} \)
(b) \( \boldsymbol{H}_{2} \boldsymbol{O}_{2}+\boldsymbol{A} \boldsymbol{g}_{2} \boldsymbol{O} \rightarrow \boldsymbol{2} \boldsymbol{A} \boldsymbol{g}+\boldsymbol{H}_{2} \boldsymbol{O}+\boldsymbol{O}_{2} \)
Role of hydrogen peroxide in the above reactions is respectively:
A. Oxidizing in (a) and reducing in (b)
B. Reducing in (a) and oxidizing in (b)
c. Reducing in (a) and (b)
D. Oxidizing in (a) and (b)
Subject: Physics
A force of \( 4 N \) acts on an object of mass
\( 2 k g \) in \( X- \) direction and another force
of \( 3 N \) acts on it in \( Y- \) direction. Hence
the magnitude of the acceleration of the object will be
A \( .1 .5 \mathrm{ms}^{-2} \)
B . \( 2.0 m s^{-2} \)
c. \( 2.5 \mathrm{ms}^{-2} \)
D. \( 3.5 \mathrm{ms}^{-2} \)
Subject: Chemistry
LoGin
toppr JolN Now 5
Q Type your question 0 scraiacu
\( A \)
1) c) ii)
2) a) i)
B. 1 c) ii)
2) b) i
3) a) iii) ) is in is
2) a) iii) ) is in is
3) \( b) \) i)
D. \( 1) \) a) ii)
2) c) i)
Subject: Physics
Assertion
An AC generator is which converts mechanical energy into electrical energy (alternating emf). It works on the principle of electromagnetic induction the magnet generates an emf (current)
in the coil.
Reason
The property of coil by which an emf is induced in it when the current flowing through it changes is mutual inductance
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
Which has the smallest bond \( (\boldsymbol{X}-\boldsymbol{S}- \)
\( X) \) in the given molecules?
A. \( O s F_{2} \)
в. \( O s C l_{2} \)
\( \mathrm{c} \cdot O s B r_{2} \)
D. \( O s I_{2} \)
Subject: Chemistry
Identify \( X \) and \( Y \) in the given
polymerization reactions:
A. \( x= \) Bakelite, \( Y= \) Novolac
B. \( x= \) Novolac, \( Y= \) Melamine
\( \mathrm{c} \cdot \mathrm{X}= \) Bakelite, \( \mathrm{Y}= \) Malamine
D. \( x= \) Novolac, \( Y= \) Bakelite
Subject: Maths
\( \boldsymbol{A}_{1}\left(\boldsymbol{x}_{1}, \boldsymbol{y}_{1}\right), \boldsymbol{A}_{2}\left(\boldsymbol{x}_{2}, \boldsymbol{y}_{2}\right), \boldsymbol{A}_{3}\left(\boldsymbol{x}_{3}, \boldsymbol{y}_{3}\right) \)
are \( n \) points a plane such that
\( A_{1} A_{2} \) is bisected at \( G_{1}, G_{2}, A_{2} \) is
divided in the ration 1: 2 at \( G_{2}, G_{2}, A_{4} \)
is divided in the ratio 1: 3 at \( G_{3} \). The
process is continued until all \( n \) points are exhausted, then find the co-
ordinates of the final point \( G_{n} \)
Subject: Physics
The dimensional formula for coefficient
of thermal conductivity is:
\( \mathbf{A} \cdot[M L T K] \)
B . \( \left[M L T K^{-1}\right] \)
c. \( \left[M L T^{-1} K^{-1}\right] \)
D \cdot \( \left[M L T^{-3} k^{-1}\right] \)
Subject: Maths
Solve \( \lim _{x \rightarrow a} \frac{x^{2}-(a+1) x+a}{x^{3}-a^{3}} \)
A \( \cdot \frac{a-2}{a^{2}} \)
в. \( \frac{a-1}{3 a^{2}} \)
c. \( \frac{a+1}{3 a^{2}} \)
D. None of these
Subject: Physics
A fixed volume of iron is drawn into a
wire of length \( L \). The extension \( x \) produced in the wire by a constant force
\( F . F \) is proportional to
A \( \cdot \frac{1}{L^{2}} \)
в. \( \frac{1}{L} \)
c. \( L^{2} \)
D. \( L \)
Subject: Physics
Two small identical electrical dipoles
\( A B \) and \( C D \) each of dipole moment \( \vec{p} \)
are kept at an angle of \( 120^{\circ} \) as shown in
the figure. What is the resultant dipole moment of this combination ? If this
system is subjected to electric field \( (\vec{E}) \) directed along \( +\boldsymbol{X} \) direction, what will
be the magnitude and direction of the
torque acting on this?
Subject: Physics
A mass \( m \) is placed at point \( P \) lies on the axis of a ring of mass \( \mathrm{M} \) and radius
\( R \) at a distance \( R \) from its centre. The
gravitational force on mass \( \mathrm{m} \) is then
\( ^{\mathbf{A}} \cdot \frac{G M m}{\sqrt{2} R^{2}} \)
в. \( \frac{G M m}{2 R^{2}} \)
c. \( \frac{G M m}{2 \sqrt{2} R^{2}} \)
D. \( \frac{G M m}{4 R^{2}} \)
Subject: Chemistry
From the following data, the activation
energy for the reaction \( (\text { cal } / \text { mol }) \) is:
\[
\boldsymbol{H}_{2}+\boldsymbol{I}_{2} \longrightarrow \mathbf{2} \boldsymbol{H} \boldsymbol{I}
\]
\( T(K) \quad 1 / T\left(K^{-1}\right) \quad \log K \) \( \begin{array}{lll}769 & 1.3 \times 10^{-3} & 2.9 \\ 667 & 1.5 \times 10^{-3} & 1.1\end{array} \)
A \( \cdot 4 \times 10^{4} \)
B. \( 2 \times 10^{4} \)
\( c \cdot 8 \times 10^{4} \)
D. \( 3 \times 10^{4} \)
Subject: Physics
A coil with an area of \( 0.50 m^{2} \) and a
resistance of 7 ohms is completely in a changing magnetic field. If the current in the coil is 2.0 Amps,
what is the rate of change of the magnetic field?
A. \( 3.5 T / s \)
в. \( 7 T / s \)
c. \( 14 T / s \)
D. \( 28 T / s \)
Subject: Physics
speea or cu m/s releases a pomo ac a
height of \( 80 \mathrm{m} \) above ground as shown.
At the same instant a Hunter of
negligible height starts running point at below it, to catch the bomb with
speed \( 10 \mathrm{m} / \mathrm{s} \). After two seconds he
realized that he cannot make it, he
stops running and immediately holds
his gun and fires in such a direction so
that just before bomb hits the ground,
bullet will hit it. what should be a firing
speed of bullet. (take \( g=10 \mathrm{m} / \mathrm{s}^{2} \) )
A. \( 70 \mathrm{m} / \mathrm{s} \)
B. \( 20 \sqrt{1} 0 \mathrm{m} / \mathrm{s} \)
c. \( 10 \sqrt{10} \mathrm{m} / \mathrm{s} \)
D. None of above
Subject: Chemistry
\( \boldsymbol{H}_{2} \boldsymbol{O}_{2}+\boldsymbol{O}_{3} \rightarrow \boldsymbol{H}_{2} \boldsymbol{O}+\mathbf{2} \boldsymbol{O}_{2}, \) in this
reaction \( \boldsymbol{H}_{2} \boldsymbol{O}_{2} \) acts as:
A. oxidising agent
B. reducing agent
c. dehydrating agent
D. bleaching agent
Subject: Physics
The specific resistance of a metal wire
is \( 64 \times 10^{-6} \Omega \times c m ., \) the length is 198
\( \mathrm{cm} \) and the resistance is \( 7 \Omega \). The radius
of wire is :-
A. \( 2.4 \mathrm{cm} \)
B. 0.24 cm
c. \( 0.024 \mathrm{cm} \)
D. \( 24 \mathrm{cm} \)
Subject: Biology
In a typical bacterial operon, where is an
operator located to prevent
transcription?
A. Upstream of (before) the gene and the region of the promoter where RNA polymerase attaches.
B. Downstream of (after) the gene and the region of the promoter where RNA polymerase attaches.
C. At the location where the RNA polymerase attaches.
D. Between the gene and the region of the promoter where RNA polymerase attaches.