AkshitPareek2004/jee-question-analyzer-data huggingface dataset:
Subject: Physics
against their corresponding description given in 1,2,3,4 and 5
A. Astronomical telescope
B. Galilean Telescope
C. Simple Microscope
D. Compound Microscope
1. Contains one convex lens
2. Contains one concave lens
3. Contains a convex lens of large foca
length in the objective and a convex lens of small focal length in the eye-
piece
4. Contains a convex lens of small foca
length in the objective and a convex Iens of large focal length in the eye-
piece
5. Contains a convex lens of large focal
length in the objective and a concave lens of small focal length in the eyepiece.
\( \begin{array}{llll}\text { A. } 2 & 3 & 1 & 5\end{array} \)
\( \begin{array}{llll}\text { В. } 3 & 2 & 4 & 1\end{array} \)
\( \begin{array}{llll}\text { C } .2 & 5 & 3 & 4\end{array} \)
D. 4
Subject: Chemistry
In the leaching of gold by cyanide process, the following reaction takes
place:
\( \boldsymbol{a} \boldsymbol{A} \boldsymbol{u}+\boldsymbol{b} \boldsymbol{K} \boldsymbol{C} \boldsymbol{N}+\boldsymbol{c} \boldsymbol{H}_{2} \boldsymbol{O}+\boldsymbol{d} \boldsymbol{O}_{2} \rightarrow \)
\( e K A u(C N)_{2}+f K O H \)
\( \boldsymbol{u} \boldsymbol{A} \boldsymbol{u}+\boldsymbol{v} \boldsymbol{K} \boldsymbol{C} \boldsymbol{N}+\boldsymbol{w} \boldsymbol{H}_{2} \boldsymbol{O}+\boldsymbol{x} \boldsymbol{O}_{2} \rightarrow \)
\( \boldsymbol{y} \boldsymbol{K} \boldsymbol{A} \boldsymbol{u}(\boldsymbol{C} \boldsymbol{N})_{4}+\boldsymbol{z} \boldsymbol{K} \boldsymbol{O} \boldsymbol{H} \)
Identify the correct statements with respect to the stoichiometric coefficients when these reactions are
balanced using simplest natural numbers.

This question has multiple correct options
A. \( d, c, x, u \) are in anthmetic progression
B. \( c, y, w, b \) are in arithmetic progression
c. \( f, b, z, v \) are in geometic progressinon
D. \( d, c, a, b \) are geometnic progression
Subject: Chemistry
Identify which of the following
statements is FALSE?
A. The vapor pressure of a liquid decreases with increasing atmospheric pressure.
B. The value of an equilibrium constant is dependent on temperature
C. The rate of a spontaneous reaction cannot be determined solely by its Gibbs free energy.
D. During a phase transition, the temperature of a substance must be constant.
E. The addition of a catalyst to a reaction at equilibrium has no net effect on the system.
Subject: Chemistry
Assertion
In froth floatation method, collectors
such as pine oil xanthates are added to
the suspension of powdered ore.
Reason

Collectors stabilizes the froth.
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 one of the following pairs is obtained on heating ammonium dichromate?
A. \( N_{2} \) and \( H_{2} \) O
B. \( H_{2} \) O and \( H_{2} \) 0
c. \( N O_{2} \) and \( H_{2} \) O
D. NO and \( N O_{2} \)
Subject: Maths
A man mixes two types of rice \( (X \text { and } Y) \) and sells the mixture at the rate of

Rs.17 per kg. Find his profit percentage.
\( P: \) Rate of \( X \) is Rs.20 per \( \mathrm{kg} \)
\( Q: \) Rate of \( Y \) is Rs.13 per \( \mathrm{kg} \)
A. Only P is sufficient to answer
B. Only Q is sufficient to answer
c. Both are sufficient to answer
D. None of them are sufficient to answer
Subject: Physics
Two block \( A \) and \( B \) are connected to
each other as shown is fig. and spring
and pulley. The block \( B \) slides at a
horizontal top surface of stationary block \( C, \) and block \( A \) slides along
vertical slides of \( C \), both with same
uniform speed. The coefficient of friction between the block is \( 0.2(l) \)
spring constant of spring is \( 1960 N / m \)
f mass of block is \( 2 k g \). Find energy
stored in spring,
Subject: Chemistry
Select the correct statements.
This question has multiple correct options
A ror the reaction, \( H_{2}(g)+I_{2}(g) \rightleftharpoons 2 H I . \frac{d\left[H_{2}\right]}{d t}= \)
\( K_{b}[H I]^{2} \) for backward reaction and \( -\frac{d\left[H_{2}\right]}{d t}= \) \( K_{f}\left[H_{2}\right]\left[I_{2}\right] \)
B. At equilibrium net rate of change in conc. of \( H_{2} \) is zero for, \( H_{2}+I_{2} \rightleftharpoons 2 H I \)
C. A thermodynamically favourable process actually takes place
D. A thermodynamically favourable process will not actually take place unless it chemical kinetics is favourable
Subject: Maths
In given figure the diagonal BD of a parallelogram ABCD intersects the
segment AE at the point \( F \), where E is
any point on the side BC. Prove that
\( \boldsymbol{D} \boldsymbol{F} \times \boldsymbol{E} \boldsymbol{F}=\boldsymbol{F} \boldsymbol{B} \times \boldsymbol{F} \boldsymbol{A} \)
Subject: Maths
\( \overline{\boldsymbol{x}}=(\mathbf{1}, \mathbf{1}, \mathbf{1}) \overline{\boldsymbol{y}}=(\mathbf{4}, \mathbf{3}, \mathbf{4}) \boldsymbol{a} \boldsymbol{n} \boldsymbol{d} \bar{z}= \)
\( (1, \alpha, \beta) \) are linearly dependent vectors
and \( |\bar{z}|=\sqrt{3}, \) then findaand \( \beta \)
Subject: Maths
f \( p \lambda^{4}+p \lambda^{3}+p \lambda^{2}+s \lambda+t= \)
\( \left|\begin{array}{ccc}\lambda^{2}+3 \lambda & \lambda+1 & \lambda+3 \\ \lambda+1 & 2-\lambda & \lambda-4 \\ \lambda-3 & \lambda+4 & 3 \lambda\end{array}\right|, \) then value
of t is
A . 16
B . 18
\( c .17 \)
D. 19
Subject: Maths
Mark the correct alternative of the
following.
Let \( f(x)=2 x^{3}-3 x^{2}-12 x+5 \) on
\( [-2,4] . \) The relative maximum occurs at
\( \boldsymbol{x}=? \)
A . -2
B. - -
\( c \cdot 2 \)
D. 4
Subject: Maths
\( \left|\begin{array}{ccc}1 & \boldsymbol{b} \boldsymbol{c} & \boldsymbol{a}(\boldsymbol{b}+\boldsymbol{c}) \\ \mathbf{1} & \boldsymbol{c} \boldsymbol{a} & \boldsymbol{b}(\boldsymbol{c}+\boldsymbol{a}) \\ \boldsymbol{1} & \boldsymbol{a} \boldsymbol{b} & \boldsymbol{c}(\boldsymbol{a}+\boldsymbol{b})\end{array}\right|= \)
\( \mathbf{A} \cdot \mathbf{0} \)
B.
\( c \cdot a b c \)
D. \( a b+b c+c a \)
Subject: Physics
A circular loop of radius \( 2 \mathrm{cm}, \) is placed in a time varing magnetic field with rate of \( 2 \mathrm{T} / \mathrm{sec} . \) Then induced electric
field in this loop will be
A. 0
B. 0. \( 02 \mathrm{V} / \mathrm{m} \)
\( c \cdot 0.01 v / m \)
D. \( 2 v / m \)
Subject: Chemistry
The composition of aqua-regia is :
A . Dil.HCl : Conc.H NO \( _{3}=3: 1 \)
в. Сопс.НСl: Dil. \( H N O_{3}=3: 1 \)
c. Conc.HCl: Conc.H \( \mathrm{NO}_{3}=3: 1 \)
D. Dil.HCl: Dil. \( \mathrm{H} \mathrm{NO}_{3}=3: 1 \)
Subject: Maths
Write the compound statement, "If \( \mathrm{p} \) then \( q \) and if \( q, \) then \( p^{\prime \prime} \) in symbolic form.
A \( (p \wedge q) \wedge(q \wedge p) \)
a \( (p \wedge q) \wedge(q \wedge p) \)
в. \( (p \Longrightarrow q) \vee(q \Longrightarrow p) \)
c. \( (q \Longrightarrow p) \wedge(p \Longrightarrow q) \)
D. \( (p \wedge q) \vee(q \wedge p) \)
Subject: Physics
A metal bar \( 70 \mathrm{cm} \) long and \( 4.00 \mathrm{kg} \) in mass supported on two knife-edges placed \( 10 \mathrm{cm} \) from each end. \( \mathrm{A} 6.00 \mathrm{kg} \)
load is suspended at \( 30 \mathrm{cm} \) from one
end. Find the reactions at the knife-
edges. (Assume the bar to be of uniform
cross section and homogeneous.)
\( \mathbf{A} \cdot 45 N \) and \( 43 N \)
B. \( 50 N \) and \( 35 N \)
\( \mathbf{c} .55 N \) and \( 43 N \)
D. \( 54 N \) and \( 30 N \)
Subject: Physics
Two resistances \( X \) and \( Y \) in the two gaps
of a meter-bridge gives a null point dividing the wire in the ratio \( 2: 3 . \) If
each resistance is increased by \( 3 \Omega \), the
null point divides the wire in the ratio \( 5: 6, \) calculate the value of \( X \) and \( Y \)
Subject: Chemistry
An aqueous solution of a metal bromide
\( M B r_{2}(0.05 M) \) is saturated with \( H_{2} S \)
The minimum \( p H \) at which \( M S \) will
precipitate is \( \boldsymbol{X} \) ? \( \boldsymbol{K}_{s p} \) for \( \boldsymbol{M} \boldsymbol{S}=\boldsymbol{6} . \boldsymbol{0} \times \)
\( 10^{-21} \)
Concentration of saturated \( \boldsymbol{H}_{2} \boldsymbol{S}= \)
\( \mathbf{0 . 1} M ; K_{1}=10^{-7} \) and \( K_{2}=1.3 \times \)
\( 10^{-13} \) for \( H_{2} S \)
A. 5
B. 8
\( c \)
D. 4
Subject: Chemistry
At room temperature \( \left(20^{\circ} \mathrm{C}\right) \) orange juice gets spoilt in about 64 hours. In a
refrigerator at \( 3^{\circ} C \) juice can be stored
three times as long before it gets spoilt. The activation energy of the reaction that causes the spoiling of juice is :
A \( .43 .46 \mathrm{kJmol}^{-1} \)
B . \( 46.76 \mathrm{kJmol}^{-1} \)
c. \( 49.54 \mathrm{kJmol}^{-1} \)
D. 50.23 kJmol\( ^{-1} \)
Subject: Chemistry
\( M n O_{2}+K O H+O_{2} \stackrel{\Delta}{\rightarrow} \)
\( \mathbf{2 K}_{\mathbf{2}} \boldsymbol{M} \boldsymbol{n} \boldsymbol{O}_{4}+\mathbf{4} \boldsymbol{H}_{2} \boldsymbol{O} \)
pot manganate
If true enter 1 else 0
\( \mathbf{A} \cdot \mathbf{1} \)
Subject: Chemistry
What are the most favourable
conditions for the reaction;
\( \boldsymbol{S} \boldsymbol{O}_{2}(\boldsymbol{g})+\frac{1}{2} \boldsymbol{O}_{2}(\boldsymbol{g}) \leftrightharpoons \boldsymbol{S} \boldsymbol{O}_{3}(\boldsymbol{g}) ; \boldsymbol{\Delta} \boldsymbol{H}^{o}= \)
\( - \) ve to occur?
A. Low temp and high press
B. Low temp and low press
c. High temp and low press
D. High temp and high press
Subject: Physics
The system is said to be in equilibrium when
A \( \cdot \stackrel{F_{1}}{\longrightarrow}-\stackrel{F_{2}}{\longrightarrow}=0 \)
B. \( \stackrel{F_{1}}{\longrightarrow}-\stackrel{F_{2}}{\longrightarrow}=+v e \)
c. \( \stackrel{F_{1}}{\longrightarrow}-\stackrel{F_{2}}{\longrightarrow}=-v e \)
D. All
Subject: Chemistry
Name the following compounds according to the IUPAC system or
nomenclature:
\( \boldsymbol{C H}_{3} \boldsymbol{C H}_{2} \boldsymbol{C O C H}\left(\boldsymbol{C}_{2} \boldsymbol{H}_{5}\right) \boldsymbol{C H}_{2} \boldsymbol{C H}_{2} \boldsymbol{C l} \)
Subject: Maths
A cylinder of radius \( 6 \mathrm{cm} \) and height
\( h c m \) is filled with ice cream. The ice
cream is then distributed among 10 children in identical cones having hemispherical tops. The radius of the
base of the cone is \( 3 \mathrm{cm} \) and its height
is \( 12 \mathrm{cm} . \) Then the height \( h \) of the
cylinder must be
A. \( 100 / 7 \mathrm{cm} \)
B. \( 18 \mathrm{cm} \)
c. \( 15 \mathrm{cm} \)
D. \( 200 / 11 \mathrm{cm} \)
Subject: Physics
The phases of the light wave at \( \mathbf{c}, \mathbf{d}, \mathbf{e} \)
and \( \mathbf{f} \) are \( \phi_{\mathrm{c}}, \phi_{\mathrm{d}}, \phi_{\mathrm{e}} \) and \( \phi_{\mathrm{f}} \) respectively.
It is given that \( \phi_{\mathrm{c}} \neq \phi_{\mathrm{f}} \)
A \( \cdot \phi_{\mathrm{c}} \) cannot be equal to \( \phi_{\mathrm{d}} \)
B. \( \phi_{\mathrm{d}} \) can be equal to \( \phi_{\mathrm{e}} \)
C \( \cdot\left(\phi_{\mathrm{d}}-\phi_{\mathrm{f}}\right) \) is equal to \( \left(\phi_{\mathrm{c}}-\phi_{\mathrm{e}}\right) \)
\( \mathbf{D} \cdot\left(\phi_{\mathrm{d}}-\phi_{\mathrm{c}}\right) \) is not equal to \( \left(\phi_{\mathrm{f}}-\phi_{\mathrm{e}}\right) \)
Subject: Maths
\( \begin{array}{ccccc}\boldsymbol{x} & \mathbf{2} & \boldsymbol{4} & \mathbf{2 0} & \mathbf{1 5} \\ y & 3 & 7 & 10 & 12 \\ z & 10 & 5 & 1 & 4 / 3\end{array} \) Observe the table and find the
quantities which are in inverse
proportion
A. \( x \) and \( y \)
B. \( x \) and \( z \)
\( \mathbf{c} \cdot y \) and \( z \)
D. None of the above
Subject: Maths
If \( x \sqrt{1+y}+y \sqrt{1+x}=0, \) then \( \frac{d y}{d x} \) is
equal to
\( ^{A} \cdot \frac{1}{(1+x)^{2}} \)
B. \( \frac{-1}{(1+x)^{2}} \)
c. \( \frac{1}{(1-x)^{2}} \)
D. None of these
Subject: Physics
Show dimensionally that the expression, \( \boldsymbol{Y}=\frac{\boldsymbol{M} \boldsymbol{g} \boldsymbol{L}}{\boldsymbol{\pi} \boldsymbol{r}^{2} \boldsymbol{l}} \) is
dimensionally correct, where Y is Young's modulus of the material of wire,
Lis length of wire, Mg is the weight applied on the wire and I is the increase in the length of the wire.
Subject: Chemistry
If the bond energies of \( \mathrm{H}-\mathrm{H}, \mathrm{Br} \) -Br, and \( \mathrm{H} \) Br are 433,192 and \( 364 \mathrm{kJ} \) mol \( ^{-1} \)
respectively, the \( \triangle H^{0} \) for the reaction
\( \boldsymbol{H}_{2(g)}+\boldsymbol{B} \boldsymbol{r}_{2(g)} \rightarrow 2 \boldsymbol{H} \boldsymbol{B} \boldsymbol{r}_{(g)} \) is:
A . -261 k J)
B. +103 k
\( c .+261 \mathrm{kJ} \)
D. -103 kJ
Subject: Maths
Factorise:
\( \mathbf{2} \sqrt{\mathbf{2}} \boldsymbol{a}^{\mathbf{3}}+\mathbf{1 6} \sqrt{\mathbf{2}} \boldsymbol{b}^{\mathbf{3}}+\boldsymbol{c}^{\mathbf{3}}-\mathbf{1 2 a b} \boldsymbol{c} \)
Subject: Physics
Which of the following properties must be known in order to calculate the
amount of heat needed to melt \( 1.0 \mathrm{kg} \) of
ice at \( 0^{\circ} C ? \)
I. The specific heat of water
I. The latent heat of fusion for water
III. The density of water.
A. I only
B. I and II only
c. ।, II, and III
D. II only
E. I and III only
Subject: Maths
An unbiased coin is tossed. if the result
is a head, a pair of unbiased dice is rolled \& the number obtained by adding the numbers on the two faces is noted. If
the result is a tail, a card from a well
shuffled pack of eleven cards numbered \( 2,3,4, \dots, 12 \) is picked \( \& \) the number on the card is noted. What is the
probability that the noted number is
either 7 or \( 8 ? \)
A. 0.24
в. 0.27
\( c .0 .3 \)
D. 0.31
Subject: Physics
Flux \( \Phi \) (in weber) in a closed circuit of
resistance 10 ohm varies with time \( t \) (in
sec) according to the equation \( \Phi=6 t^{2}- \)
\( 5 t+1 . \) What is the magnitude of the
induced current at \( t=1 \) sec?
A . \( 0.5 A \)
в. \( 0.6 A \)
\( c .0 .7 A \)
D. \( 0.8 A \)
Subject: Chemistry
Water filled in two glasses \( A \) and \( B \) have \( B O D \) values of 10 and 20
respectively. The correct statement regarding them, is:
\( \mathbf{A} \cdot A \) is more polluted than \( B \)
B. A is suitable for drinking, whereas \( B \) is not
\( \mathrm{c} . B \) is more polluted than \( A \)
D. Both \( A \) and \( B \) are suitable for drinking
Subject: Physics
The current in the primary circuit of a
potentiometer is \( 0.2 \mathrm{A} \). The specific resistance and cross section of the
potentiometer wire are \( 4 \times 10^{-7} \) ohm
metre and \( 8 \times 10^{-7} m^{2} \) respectively. The
potential gradient will be equal to:
A. \( 0.1 \mathrm{V} / \mathrm{m} \)
B. \( 0.2 \vee / \mathrm{m} \)
c. \( 1 \mathrm{v} / \mathrm{m} \)
D. \( 0.5 \vee / \) m
Subject: Chemistry
The molar conductivities of \( \wedge_{N a O A C}^{0} \) and \( \wedge_{H C l}^{0} \) at infinite dilution in water at \( 25^{0} C \) and 91.0 and \( 426.2 \mathrm{Scm}^{2} / \mathrm{mol} \) respectively. To calculate \( \wedge_{H O A c}^{0} \), the additional value required is:
\( \mathbf{A} \cdot \wedge_{N a C l}^{0} \)
B. \( \wedge_{H_{2} O}^{0} \)
c. \( \wedge_{K C l}^{0} \)
D. \( \wedge_{N a O H}^{0} \)
Subject: Physics
A bomb of mass \( \mathrm{m} \) at rest at the
coordinate
origin explodes into three equal pieces. At a certain instant one piece is on the
\( \mathbf{x} \) -axis at \( \boldsymbol{x}=\mathbf{4 0} \boldsymbol{c m} \) and another is at
\( \boldsymbol{x}=\mathbf{2 0} \boldsymbol{c m}, \boldsymbol{y}=-\mathbf{6 0} \boldsymbol{c m} . \) The position
of the third piece is:
A. \( x=60 \mathrm{cm}, y=60 \mathrm{cm} \)
в. \( x=-60 \mathrm{cm}, y=-60 \mathrm{cm} \)
c. \( x=60 \mathrm{cm}, y=-60 \mathrm{cm} \)
D. \( x=-60 c m, y=60 c m \)
Subject: Maths
From the following figure, choose the
statements that are correct.
i) Congruent chords have congruent
\( \operatorname{arcs} \)
ii) Congruent chords have equal centra
angles.
iii) Congruent arcs have congruent
central angles.
iv) Chords equidistant from the center
are congruent.
A. ii and iii only
B. iii and iv
D. All of the above
Subject: Physics
A cylindrical vessel of height 500 mm
has an orifice (small hole) at its bottom.
The orifice is initially closed and water
is filled in it up to height \( \boldsymbol{H} \). Now the top
is completely sealed with a cap and orifice at the bottom is opened. Some
water comes out from the orifice and
the water level in the vessel becomes
steady with height of water column being 200 mm. Find the fall in height (in \( m m) \) of water level due to opening of the orifice. (Take atmospheric pressure \( =1.0 \times 10^{5} N / m^{2}, \) density of water
\( =1000 \mathrm{kg} / \mathrm{m}^{3} \) and \( g=10 \mathrm{m} / \mathrm{s}^{2} \)
(Neglect any effect of surface tension.)
Subject: Physics
Light from a discharge tube containing hydrogen atoms falls on the surface of a piece of sodium. The kinetic energy of the fastest photoelectrons emitted from sodium is \( 0.73 e V \). The work function
for sodium is \( 1.82 e V . \) The rocoil speed
of emitting atom assuming it to be at rest before ionisation is (lonisation potential of hydrogen is \( 13.6 e V \) ).
B . \( 1.80 \mathrm{ms}^{-1} \)
c. \( 8.10 m s^{-1} \)
D. \( 0.81 \mathrm{ms}^{-1} \)
Subject: Maths
\( \mathbf{f} \boldsymbol{D}_{\boldsymbol{r}}=\left|\begin{array}{ccc}\mathbf{2}^{r-1} & \mathbf{2}\left(\mathbf{3}^{r-1}\right) & \mathbf{4}\left(\mathbf{5}^{r-1}\right) \\ \boldsymbol{x} & \boldsymbol{y} & \boldsymbol{z} \\ \mathbf{2}^{n}-\mathbf{1} & \mathbf{3}^{n}-\mathbf{1} & \mathbf{5}^{n}-\mathbf{1}\end{array}\right| \)
then prove that \( \sum_{r=1}^{n} D_{r}=0 \)
Subject: Chemistry
Compound 'P' of the following reaction sequence can be :
\( \langle 0\rangle-c \equiv c-\sqrt{0} \)
B.
\( \langle O\rangle-\mathrm{cH}_{2}-\mathrm{c} \equiv \mathrm{CH} \)
\( c \)
\( \langle O\rangle-c \equiv c H \)
\( D \)
\( \langle O\rangle-c=c H_{2} \)
Subject: Chemistry
The position of \( -B r \) in the compound in
\( \boldsymbol{C H}_{3} \boldsymbol{C H}=\boldsymbol{C H C}(\boldsymbol{B r})\left(\boldsymbol{C H}_{3}\right)_{2} \) can be
classified as
A. viny!
B. Secondary
c. Ally
D. Ary
Subject: Chemistry
\( \boldsymbol{C H}_{3}-\boldsymbol{C H}_{3} \stackrel{\boldsymbol{B r}_{2} / \boldsymbol{h} \boldsymbol{v}}{\boldsymbol{A}} \)
\( \boldsymbol{B} \stackrel{\boldsymbol{B r}_{2} / \boldsymbol{h} \boldsymbol{v}}{\longrightarrow} \boldsymbol{C} \stackrel{\boldsymbol{N a} / \text {ether}}{\boldsymbol{D}} \)
The compound \( D \) is :
\( \mathbf{A} \cdot C H_{3}-C H_{2}-C H_{2}-C H_{3} \)
B \( \cdot C H_{3}-C H_{2}-O-C H_{2}-C H_{3} \)
\( \mathbf{c} \cdot C H_{3}-C H\left(C H_{3}\right)-C H\left(C H_{3}\right)-C H_{3} \)
\( \mathbf{D} \cdot C H_{3}-C H_{2}-C H_{3} \)
Subject: Maths
Change the following degree measures
to radian measure: \( 45^{\circ} \)
\( ^{\mathbf{A}} \cdot \frac{\pi}{6} \) radians
B \( \cdot \frac{\pi}{3} \) radians
c. \( \frac{\pi}{4} \) radians
D \( \cdot \frac{\pi}{2} \) radians
Subject: Chemistry
A number of \( X-X \) bond exists in
which of the following compounds
having the general form of \( \boldsymbol{X}_{2} \boldsymbol{H}_{6} ? \) This question has multiple correct options
\( \mathbf{A} \cdot B_{2} H_{6} \)
в. \( C_{2} H_{6} \)
c. \( A l_{2} H_{6} \)
D. \( \operatorname{si}_{2} H_{6} \)
Subject: Maths
Calculate the mean using step deviation method.
\begin{tabular}{|l|l|l|l|l|}
\hline Number of pages & 20 & 40 & 60 & 80 \\
\hline Number of articles & 3 & 6 & 9 & 12 \\
\hline
\end{tabular}
\( \mathbf{A} \cdot 62 \)
B. 63
\( \mathbf{c} \cdot 64 \)
D. 65
Subject: Maths
If \( \tan \theta=\frac{-4}{3} \) then \( \sin \theta \) is
A \( \cdot \frac{-4}{5} \) but not \( \frac{-4}{3} \)
B. \( \frac{-4}{5} \) or \( \frac{4}{5} \)
c. \( \frac{4}{3} \) but not \( \frac{-4}{5} \)
D. None of thses.
Subject: Maths
Rectangle ABCD is the image of
rectangle ABCD after which of the
following rotations?
A \( \cdot \) A \( 90^{\circ} \) clockwise rotation about the origin
B. A \( 180^{\circ} \) rotation about the origin
C. \( A 90^{\circ} \) counterclockwise rotation about the origin
D. A \( 90^{\circ} \) counterclockwise rotation about the point (1,1)
Subject: Physics
A \( 2.00 m \) length of wire carrying \( 3.00 A \) of conventional current southward
through a \( 5.00 T \) magnetic field
directed straight up experience how much force due the field and in what
direction?
A. Amount of Force \( -7.5 N \), Direction of Force - west
B. Amount of Force \( -30.0 N \), Direction of Force - west
c. Amount of Force \( -7.5 N \), Direction of Force - east
D. Amount of Force \( -30.0 \mathrm{N} \), Direction of Force - east
E. Amount of Force \( -3.33 \mathrm{N} \), Direction of Force - north
Subject: Maths
Calculate the mean deviation for the
following data about median.
\( \begin{array}{lllll}\text { Class } & \mathbf{0}- & \mathbf{5}- & \mathbf{1 0}- & \mathbf{1 5}- \\ \text { interval } & \mathbf{4} & \mathbf{9} & \mathbf{1 4} & \mathbf{1 9}\end{array} \)
Frequency \( \quad 11 \quad 12 \) 17
A. 10.22
в. 7.57
c. 5.55
D. 8.45
Subject: Chemistry
The main difference between bathing
and washing soap is:
A. bathing soaps are potassium salts of fatty acids while washing soaps are sodium salts of fatty acids.
B. bathing soaps are sodium salts of fatty acids while washing soaps are potassium salts of fatty acids.
C. bathing soaps are cationic in nature while washing soaps are anionic.
D. bathing soaps are calcium salts of fatty acids while washing soaps are magnesium salts of fatty acids.
Subject: Physics
A constant horizontal \( 4.0 N \) force acts
on a \( 300 g \) cart on a horizontal track as
the cart moves through a distance of \( 43.0 \mathrm{cm} . \) The cart decelerates as a
result.
What was the work performed on the cart by the force?
в. \( -1.27 J \)
c. \( 1.27 J \)
D. \( 1.72 J \)
E. None of the above
Subject: Physics
Two like parallel forces \( 20 N \) and \( 30 N \)
act at the ends \( A \) and \( B \) of a rod \( 1.5 m \)
long. The resultant of the forces will act
at the point:
A. \( 90 \mathrm{cm} \) from A
B. \( 75 \mathrm{cm} \) from \( \mathrm{B} \)
\( \mathrm{c} .20 \mathrm{cm} \) from \( \mathrm{B} \)
D. \( 85 \mathrm{cm} \) from \( \mathrm{A} \)
Subject: Physics
If \( \theta \) is the polarizing angle for a medium
in which the speed of light is \( v \), then according to Brewster's Law:
\( \mathbf{A} \cdot \theta=\sin ^{-1}(c / v) \)
B \( \cdot \theta=\tan ^{-1}(c / v) \)
\( \mathbf{c} \cdot \theta=\cos ^{-1}(c / v) \)
D. \( \theta=\sin ^{-1}(v / c) \)
Subject: Chemistry
Which of the following arrangements of electrons is mostly likely to be stable?
\( A \)
\begin{tabular}{|c|c|c|c|c|c|}
\hline\( \uparrow \) & \( \uparrow \) & \( \uparrow d \) & \( \uparrow \) & \( \uparrow \) & \( ^{4 s} \) \\
\hline
\end{tabular}
в. \begin{tabular}{|c|c|c|c|c|c|}
\hline\( \uparrow \downarrow \) & \( \uparrow \) & \( \uparrow \) & \( \uparrow \) & \( \uparrow \) & \( \uparrow \) \\
\hline
\end{tabular}
\( c \)
\begin{tabular}{|c|c|c|c|c|}
\hline\( \uparrow \) & \( \uparrow \) & \( \uparrow \) & \( \uparrow \) & \( \uparrow \) \\
\hline
\end{tabular} \( \frac{4}{\downarrow} \)
D. \begin{tabular}{r}
\( 4 s \) \\
\hline\( \uparrow \uparrow \)
\end{tabular} \begin{tabular}{|c|c|c|c|c|c|}
\hline\( \uparrow \) & \( \uparrow \) & \( \uparrow \) & \( \uparrow \) & \( \uparrow \) \\
\hline
\end{tabular}
Subject: Maths
Assertion
If the independent events \( \boldsymbol{A} \& \boldsymbol{B} \) are
such that \( \mathbf{0}<\boldsymbol{P}(\boldsymbol{A})<\mathbf{1}, \mathbf{0}<\boldsymbol{P}(\boldsymbol{B})< \)
1, then \( A \& B \) can not be mutually
exclusive.
Reason
Two events \( A \& B \) can not be mutually
exclusive, if \( \boldsymbol{P}(\boldsymbol{A} \cap \boldsymbol{B}) \neq \mathbf{0} \)
A. Both Assertion \& Reason are individually true \& Reason is correct explanation of Assertion
B. Both Assertion \& Reason are individually true but Reason is not the ,correct (proper) explanation of Assertion
c. Assertion is true but Reason is false
D. Assertion is false but Reason is true
Subject: Chemistry
What is the molarity of \( 2.00 g \) of \( N a O H \) dissolved in a total solution volume of
\( 250 m L ? \)
\( \mathbf{A} \cdot 0.2 M \)
в. \( 0.5 \mathrm{M} \)
c. \( 0.008 M \)
D. 252 М