AkshitPareek2004/jee-question-analyzer-data huggingface dataset:
Subject: Physics
Steam at \( 100^{\circ} \mathrm{C} \) is passed into \( 1.1 \mathrm{kg} \) of water contained in a calorimeter of
water equivalent \( 0.02 \mathrm{kg} \) at \( 15^{\circ} \mathrm{C} \) till the temperature of the calorimeter and
its contents rises to \( 80^{\circ} \mathrm{C} \).The mass of
the steam condensed in kg is
A. 0.130
B. 0.065
c. 0.260
D. 0.135
Subject: Chemistry
For the reaction \( 3 A(g)+B(g) \rightleftharpoons 2 C(g) \)
at a given temperature \( \mathrm{K}=9.0 \mathrm{What} \) must be the volume of the flask, if a
mixture of 2.0 mol each of 2.0 mol each of \( A, B \) and \( C \) exist in equilibrium?
A . \( 6 L \)
B. 9L
c. 36L
D. None of these
Subject: Maths
Find \( (\overrightarrow{\boldsymbol{a}} \times \overrightarrow{\boldsymbol{b}}) \cdot(\overrightarrow{\boldsymbol{c}} \times \overrightarrow{\boldsymbol{d}}) \) if \( \overrightarrow{\boldsymbol{a}}=\overrightarrow{\boldsymbol{i}}+ \)
\( \overrightarrow{\boldsymbol{j}}+\overrightarrow{\boldsymbol{k}}, \overrightarrow{\boldsymbol{b}}=2 \overrightarrow{\boldsymbol{i}}+\overrightarrow{\boldsymbol{k}}, \overrightarrow{\boldsymbol{c}}=2 \overrightarrow{\boldsymbol{i}}+\overrightarrow{\boldsymbol{j}}+\overrightarrow{\boldsymbol{k}} \)
and \( \overrightarrow{\boldsymbol{d}}=\overrightarrow{\boldsymbol{i}}+\overrightarrow{\boldsymbol{j}}+\boldsymbol{2} \overrightarrow{\boldsymbol{k}} \)
Subject: Maths
The slope and y-intercept of the following line are respectively
\( 8 x-4 y-1=0 \)
A \( \cdot \)slope\( =m=\frac{-1}{2} \) and \( y- \) intercept \( =\frac{1}{4} \)
B . slope \( =m=2 \) and \( y- \) intercept \( =-\frac{1}{4} \)
c. slope \( =m=-\frac{1}{2} \) and \( y- \) intercept \( =-\frac{1}{4} \)
D. slope \( =m=\frac{1}{2} \) and \( y- \) intercept \( =\frac{1}{4} \)
Subject: Physics
A transformer connected to 220 volt line
shows an output of \( 2 A \) at \( 11000 V . \) The
efficiency is \( 100 \% \). The current drawn from the line is:
\( \mathbf{A} \cdot 100 A \)
в. \( 200 A \)
\( c .22 A \)
D. \( 11 A \)
Subject: Chemistry
Select the strongest oxidant oxoanion and weakest oxidant oxanion among
the following:
\( \boldsymbol{V} \boldsymbol{O}_{4}^{3-}, \boldsymbol{C r} \boldsymbol{O}_{4}^{2-}, \boldsymbol{M} \boldsymbol{n} \boldsymbol{O}_{4}^{2-}, \boldsymbol{F} \boldsymbol{e} \boldsymbol{O}_{4}^{2-} \)
A. Strongest: \( F e O_{4}^{2-} ; \) weakest \( : V O_{4}^{3} \)
B. Strongest: \( V O_{4}^{3-} \); weakest: \( F e O_{4}^{2} \)
c. Both are equally strong
D. None of these
Subject: Chemistry
In an experiment, addition of \( 4.0 \mathrm{mL} \) of
\( 0.005 M B a C l_{2} \) to \( 16.0 \mathrm{mL} \) of arsenious
sulphide sol just causes the complete coagulation in 2 h. The flocculating value of the effective ion is:
A . 3.0
B . 2.
c. 1.0
D. 0.5
Subject: Chemistry
Which of the following compounds is/are expected to
be colored?

This question has multiple correct options
A \( \cdot T i\left(N O_{3}\right)_{4} \)
\( \mathbf{B} \cdot\left[C u\left(N C C H_{3}\right)_{4}\right] B F_{4}^{-} \)
c. \( \left[C r\left(N H_{3}\right)_{6}\right]^{3}+3 C l \)
D \( \cdot K_{3}\left[V F_{6}\right] \)
Subject: Maths
\( \sin 11^{\circ} 19 \cos 18^{\circ} 41+ \)
\( \cos 11^{\circ} 19 \sin 18^{\circ} 41= \)
A .
B. \( \frac{\sqrt{3}}{2} \)
\( c \cdot \frac{1}{2} \)
D. 0
Subject: Physics
Calculate the height through which a
body of mass \( 0.5 k g \) is lifted if the
energy spent in doing so is \( 1.0 J . \) (Take
\( \boldsymbol{g}=\mathbf{1 0 m} \boldsymbol{s}^{-2} \mathbf{)} \)
\( A \cdot 2 m \)
в. \( 0.2 m \)
\( c .20 m \)
D. \( 0.4 m \)
Subject: Chemistry
The following reaction is probably:
\( \mathbf{2} \boldsymbol{C} \boldsymbol{H}_{3} \boldsymbol{C} \boldsymbol{H}_{2} \boldsymbol{C} \boldsymbol{H}_{2} \boldsymbol{C} \boldsymbol{H}_{2} \boldsymbol{O} \boldsymbol{H} \frac{\boldsymbol{H}_{2} \boldsymbol{S} \boldsymbol{O}_{4}}{\boldsymbol{H} e a t} \)
\( \left(\boldsymbol{C} \boldsymbol{H}_{3} \boldsymbol{C H}_{2} \boldsymbol{C H}_{2} \boldsymbol{C H}_{2}\right)_{2} \boldsymbol{O}+\boldsymbol{H}_{2} \boldsymbol{O} \)
A . an \( E 2 \) -type reaction involving the protonated alcohol as the substrate
B. an \( S_{N} 1 \) type reaction involving the protonated alcohol as the substrate
c. an \( E 1 \) type reaction involving the protonated alcohol as the substrate
D. an \( S_{N} 2 \) type reaction involving the protonated alcohol as the substrate
Subject: Physics
The negative charge \( -q_{2} \) is fixed while
positive charge \( q_{1} \) as well as the
conducting sphere 'S' is free to move. If
the system is released from rest (the
total charge on \( \mathrm{S} \) being zero.
A. Both S and \( q_{1} \) move towards left
B. \( q_{1} \) moves towards right while \( S \) moves towards left.
C \( \cdot q_{1} \) remains at rest, \( S \) moves towards left
D. Both \( q_{1} \) and \( S \) remain at rest
Subject: Physics
A dielectric slab of thickness \( 6 \mathrm{cm} \) is
placed between the plates of a parallel plate capacitor. If the distance between
plates is reduced by \( 4 c m, \) the capacity of the capacitor remains the same. Find the dielectric constant of the medium.
\( A \cdot 2 \)
B. 4
\( c \cdot 6 \)
D. 3
Subject: Maths
In the given five sided closed figure,
find \( \angle \boldsymbol{E} \boldsymbol{A} \boldsymbol{B}+\angle \boldsymbol{A} \boldsymbol{B} \boldsymbol{C}+\angle \boldsymbol{B} \boldsymbol{C} \boldsymbol{D}+ \)
\( \angle C D E+\angle D E A \)
\( 4 \cdot 520 \)
B. \( 540^{\circ} \)
\( c .530 \)
D. 140
Subject: Chemistry
The dissociation equilibrium of a gas
\( A B_{2} \) can be represented as:
\[
\begin{array}{r}
\mathbf{2 A B}_{2}(\boldsymbol{g}) \rightleftharpoons \mathbf{2 A B}(\boldsymbol{g})+ \\
\boldsymbol{B}_{2}(\boldsymbol{g})
\end{array}
\]
The degree of dissociation is \( x \) and is
small compared to 1. The expression relating the degree of dissociation \( x \)
with equilibrium constant \( \boldsymbol{K}_{\boldsymbol{p}} \) and total
pressure \( p \) is:
\( A \)
\[
\left(2 K_{p} / p\right)
\]
В \( \cdot\left(2 K_{p} / p\right)^{1 / 3} \)
c. \( \left(2 K_{p} / p\right)^{1 / 2} \)
D. \( \left(K_{p} / p\right) \)
Subject: Physics
A Carnot engine used first an ideal monoatomic gas and then an ideal diatomic gas. If the source and sink
temperature are \( 411^{\circ} \mathrm{C} \) and \( 69^{\circ} \mathrm{C} \)
respectively and the engine extracts \( 1000 \mathrm{J} \) of heat in each cycle, then area
enclosed by \( p V \) diagram is
A . 100 J
B. 300 J
c. 500
D. 700 J
Subject: Chemistry
Two electrolytic cells containing molten solutions of nickel chloride and
aluminium chloride are connected in
series. If same amount of electric
current is passed through them, what will be the weight of nickel obtained when 18 g of aluminium is obtained?
\( \left[A \mid=27 \mathrm{g} / \mathrm{mol}, \mathrm{Ni}=58.5 \mathrm{g} / \mathrm{mol}^{-1}\right] \)
A . 117 g
B. \( 58.5 \mathrm{g} \)
c. \( 29.25 \mathrm{g} \)
D. \( 5.85 \mathrm{g} \)
Subject: Physics
A point mass \( \mathrm{m} \) is placed inside a spherical shell of radius \( \mathrm{R} \) and mass \( \mathrm{M} \)
at a distance \( R / 2 \) from the centre of the shell. The gravitational force exerted by the shell on the point mass is?
\( ^{\mathbf{A}} \cdot \frac{G M m}{R^{2}} \)
В. \( -\frac{G M m}{R^{2}} \)
c. zero
D. \( _{4} \frac{G M m}{R^{2}} \)
Subject: Maths
Let \( \boldsymbol{f}(\boldsymbol{x}), \boldsymbol{g}(\boldsymbol{x}) \) and \( \boldsymbol{h}(\boldsymbol{x}) \) be continuous
function on \( [0, a] \) such that \( f(x)= \)
\( \boldsymbol{f}(\boldsymbol{a}-\boldsymbol{x}), \boldsymbol{g}(\boldsymbol{x})=-\boldsymbol{g}(\boldsymbol{a}-\boldsymbol{x}), \boldsymbol{3} \boldsymbol{h}(\boldsymbol{x})- \)
\( 4 h(a-x)=5 \) then
\( \int_{0}^{a} f(x) g(x) h(x) d x \) is equal to
A . 1
B.
\( c \)
D. -
Subject: Physics
Consider the circuit below. The bulb will
light up if:
\( A \cdot S_{1} S_{2} \) and \( S_{3} \) are all closed
\( 3 \cdot S_{1} \) is closed but \( S_{2} \) and \( S_{3} \) are open
\( c \cdot s_{1} \) and \( S_{3} \) are closed but \( S_{2} \) is open
D. None of thes
Subject: Chemistry
Consider the following reaction:
\( \boldsymbol{M}+\boldsymbol{O}_{2} \rightarrow \boldsymbol{M} \boldsymbol{O}_{2} \)
\( M \) is an alkali metal
\( M O_{2} \) is a stable superoxide
A. \( M \) can not be \( L i \) and \( N a \)
B. \( M \) can not be \( C s \) and \( R b \)
c. \( M \) can not be \( L i \) and \( R b \)
D. None of these
Subject: Physics
One conducting U tube can slide inside another as shown in figure, maintaining electric contacts between the tubes. The
magnetic field B is perpendicular to the plane of the figure. If each tube moves
towards the other at a constant speed \( v \)
then the emf induced in the circuit in
terms of \( \mathrm{B}, l \) and \( \mathrm{v} \) where \( l \) is the width of
each tube, will be
A . -Blv
в. Вlv
c. 2 вlv
D. zero
Subject: Physics
A sound wave has a frequency of \( 1 k H z \)
and wave length \( 25 c m \), to travel \( 2.2 k m \) it takes:
A \( \cdot 2 \frac{3}{7} s \)
B. \( 80 \frac{2}{5} \) min
c. \( \frac{5}{4} \) min
D. \( 8 \frac{4}{5} s \)
Subject: Chemistry
What type of isomerism is exhibited by? \( \boldsymbol{O} \)
\( \boldsymbol{C H}_{3} \boldsymbol{C H}_{2} \boldsymbol{C H}_{2}-\stackrel{\|}{\boldsymbol{C}}-\boldsymbol{O}-\boldsymbol{C H}_{2} \boldsymbol{C H}_{3} \)
\( \boldsymbol{C H}_{3} \boldsymbol{C H}_{2}-\stackrel{\|}{\boldsymbol{C}}-\boldsymbol{O}-\boldsymbol{C H}_{2} \boldsymbol{C H}_{2} \boldsymbol{C H}_{3} \)
Subject: Maths
If \( f(x)=\log \left[\frac{1+x}{1-x}\right] \) and \( -1_{1}, x_{2}<1, \) then \( f\left(x_{1}\right) \)
\( \mathbf{f}\left(\mathbf{x}_{2}\right) \) is equal to:
\( \mathbf{A} \cdot f\left[\left(x_{1}-x_{2}\right) / 1+x_{1} x_{2}\right] \)
B \( \cdot f\left[\left(x_{1}-x_{2}\right) / 1-x_{1} x_{2}\right] \)
\( \mathbf{c} \cdot f\left[\left(x_{1}+x_{2}\right) / 1-x_{1} x_{2}\right] \)
\( \mathbf{D} \cdot f\left[\left(x_{1}+x_{2}\right) / 1+x_{1} x_{2}\right] \)
Subject: Physics
A current of \( 1 A \) flows through a copper
wire. The number of electrons passing through any cross-section of the wire in
1.6 \( \sec \) is (charge of a electrons \( =1.6 \times \)
\( \left.10^{-19} C\right) \)
\( \mathbf{A} \cdot 10^{19} \)
B. \( 10^{2} \)
\( c \cdot 10^{25} \)
D. \( 10^{28} \)
Subject: Physics
The mass equivalent of 931.5 Mev energy is
A \( \cdot 1.66 \times 10^{-27} k g \)
B. \( 6.02 \times 10^{-24} k g \)
C \( .1 .66 \times 10^{-20} \mathrm{kg} \)
D. \( 6.02 \times 10^{-27} k g \)
Subject: Chemistry
Increasing order of stability of
I. \( \boldsymbol{K}_{\mathbf{2}} \boldsymbol{C} \boldsymbol{O}_{\boldsymbol{3}} \)
Il. \( \boldsymbol{M} \boldsymbol{g} \boldsymbol{C} \boldsymbol{O}_{3} \)
\( \| N a_{2} C O_{3} \)
\( A \)
B. II
c. ॥
D.
Subject: Chemistry
Hydrogenation of vegetable ghee at \( 25^{\circ} \)
C reduces the pressure of \( \boldsymbol{H}_{2} \) from 2 \( \operatorname{atm} \) to 1.2 atm in 50 minute. Calculate
the rate of reaction in terms of change:
(a) In pressure per minute.
(b) In molarity per second.
Subject: Maths
The function
\( f(x)=\frac{\cos x-\sin x}{\cos 2 x} \) is not defined at
\( x=\frac{\pi}{4} . \) The value of \( f\left(\frac{\pi}{4}\right) \) so that \( f(x) \)
is continuous everywhere, is
\( A \)
B.
\( c \cdot \sqrt{2} \)
D. \( \frac{1}{\sqrt{2}} \)
Subject: Maths
The differential equation of the family of curves \( v=\frac{A}{r}+B, \) where \( A \) and \( B \) are
arbitrary constants is
A \( \cdot \frac{d^{2} v}{d r^{2}}+\frac{1}{r} \frac{d v}{d r}=0 \)
B. \( \frac{d^{2} v}{d r^{2}}-\frac{2}{v} \frac{d v}{d r}=0 \)
c. \( \frac{d^{2} v}{d r^{2}}+\frac{2 d v}{r d r}=0 \)
D. \( \frac{d^{2} v}{d r^{2}}+\frac{2}{v} \frac{d v}{d r}=0 \)
Subject: Maths
Solve the following simultaneous linear equations by method of reduction.
\( \boldsymbol{x}+\mathbf{2} \boldsymbol{y}+\boldsymbol{z}=\mathbf{8} \)
\( 2 x+3 y-z=11 \)
\( 3 x-y-2 z=5 \)
Subject: Maths
There is a pair of points, one on each of the lines, whose combined equation is
\( (4 x-3 y+5)(6 x+8 y+5)=0 . \) If they
are such that the distance of the point on one line is 2 units from the other line
then the points are
\( ^{\mathbf{A}} \cdot\left(\frac{1}{10}, \frac{9}{5}\right)\left(\frac{1}{2},-1\right) \)
в. \( \left(\frac{1}{2},-1\right)\left(-\frac{23}{10}, \frac{7}{3}\right) \)
\( ^{\mathbf{C}} \cdot\left(\frac{1}{10}, \frac{9}{5}\right)\left(-\frac{23}{10},-\frac{7}{5}\right) \)
D. none of these
Subject: Maths
If a line makes angles \( \boldsymbol{\alpha}, \boldsymbol{\beta}, \boldsymbol{\gamma} \) with
positive directions of \( \mathrm{X}, \mathrm{Y}, \mathrm{Z} \) -axes, what is the value of \( \sin ^{2} \alpha+\sin ^{2} \beta+\sin ^{2} \gamma \)
\( ? \)
Subject: Chemistry
Heat of reaction for; \( \boldsymbol{C O}(\boldsymbol{g})+ \)
\( \frac{1}{2} O_{2}(g) \rightarrow C O_{2}(g) \) at constant \( V \) is
-67.71 cal \( 17^{\circ} C . \) The heat of reaction at
constant \( P \) at \( 17^{\circ} C \)
A. \( -68.0 K \) cal
в. +68.0 Кса
c. -67.42 К \( c a l \)
D. None of these
Subject: Chemistry
For reducing one mole of \( C r_{2} O_{7}^{2-} \) to
\( C r^{3+}, \) the charge required is:
A. \( 3 \times 96500 \) coulomb
В. \( 6 \times 96500 \) coulomb
c. 0.3 Faradays
D. 0.6 Faradays
Subject: Physics
Sum of the two binary number
\( (100010)_{2} \) and \( (11011)_{2} \) is
\( \mathbf{A} \cdot(111101)_{2} \)
B. \( (111111)_{2} \)
\( \mathbf{c} \cdot(101111)_{2} \)
D. \( (111001)_{2} \)
Subject: Physics
In the projectile motion shown is figure,
\( \operatorname{given} t_{A B}=2 s \) then which of the
folowing is correct \( :\left(g=10 m s^{-2}\right) \)
his question has multiple correct options
A. particle is at point B at 3 s
B. maximum height of projectile is 20 m
c. initial vertical component of velocity is \( 20 \mathrm{ms} \)
D. horizontal component of velocity is \( 20 \mathrm{ms} \)
Subject: Maths
\( \left(\sqrt[3]{3}+\left(\begin{array}{c}5 \\ 36 \\ i\end{array}\right)^{3} \) is an integer where \right.
\( \boldsymbol{i}=\sqrt{-1} . \) The value of the integer is
equal to.
A .24
B . -24
c. -22
D. -21
Subject: Chemistry
The incorrect statement(s) is/are:
A. \( M g \) cannot form complexes
B. \( B e \) can form complexes due to a very small atomic
\( \operatorname{size} \)
C. The first ionisation potential of \( B e \) is higher than that of \( M g \)
D. \( M g \) forms an alkaline hydroxide while \( B e \) forms amphoteric oxides
Subject: Physics
A nucleus, with mass number \( m \) and
atomic number \( n, \) emits one \( \alpha \) particle
and one \( \beta \) particle. The mass number and atomic number of the resulting nucleus will be respectively
(Assume \( \beta \) is positron)
A. \( (m-2), n \)
B. \( (m-4),(n-1) \)
c. \( (m-4),(n-2) \)
D. \( (m+4),(n-1) \)
Subject: Chemistry
What is calorific value?
A. Amount of heat energy produced on complete combustion of 1 Kg of fuel.
B. Amount of heat energy produced on complete combustion of \( 100 \mathrm{Kg} \) of fuel.
C. Amount of heat energy produced on complete combustion of 1 g of fuel.
D. Amount of heat energy lost on complete combustion of \( 1 \mathrm{Kg} \) of fuel.
Subject: Chemistry
In which of the following reactions there is a change in the oxidation number of nitrogen atom?
A \( .2 N O_{2} \rightarrow N_{2} O_{4} \)
B. \( N H_{3}+4 N H_{3} \rightarrow\left[C u\left(N H_{3}\right)_{4}\right] S O_{4} \)
c. \( 2 N a_{2} S_{2} O_{3}+I_{2} \rightarrow N a_{2} S_{4} O_{6}+2 N a I \)
D. None of these
Subject: Maths
If \( A \) and \( B \) are events having probabilities, \( \boldsymbol{P}(\boldsymbol{A})=\mathbf{0 . 6 , P}(\boldsymbol{B})= \)
\( \mathbf{0 . 4}, \boldsymbol{P}(\boldsymbol{A} \cap \boldsymbol{B})=\mathbf{0}, \) then the probability
that neither \( A \) nor \( B \) occurs is
A \( \cdot \frac{1}{4} \)
B. 1
\( c \cdot \frac{1}{2} \)
\( D \)
Subject: Chemistry
Assertion
When \( A g N O_{3} \) is treated with excess of
potassium iodide, colloidal particles
gets attracted towards anode.
Reason
Precipitate adsorb common ions (excess) and thus, become charged.
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
Consider the following reaction:
\( \mathbf{2} \boldsymbol{A}_{(\boldsymbol{g})}+\boldsymbol{B}_{(\boldsymbol{g})} \longrightarrow \boldsymbol{C}_{(\boldsymbol{g})}+\boldsymbol{D}_{(\boldsymbol{g})}+\boldsymbol{q} \)
If \( q \) is \( -v e, \) then which of the following
is correct?
A. Reaction is possible only at low temperature
B. Reaction is possible only at high temperature
c. Reaction is never possible
D. Reaction is possible at all temperatures
Subject: Maths
The function \( \boldsymbol{f}(\boldsymbol{x})=\frac{\mathbf{1}}{\mathbf{1}+\boldsymbol{x}^{2}} \) is
decreasing in the interval
\( \mathbf{A} \cdot(-\infty,-1] \)
в. \( (-\infty, 0] \)
c. \( [1, \infty) \)
(i)
D. \( (0, \infty) \)
Subject: Maths
If \( \boldsymbol{A}=\left[\begin{array}{lll}\boldsymbol{a} & \boldsymbol{0} & \boldsymbol{0} \\ \boldsymbol{0} & \boldsymbol{a} & \boldsymbol{0} \\ \boldsymbol{0} & \boldsymbol{0} & \boldsymbol{a}\end{array}\right], \) then the value of
\( |\boldsymbol{A}||\boldsymbol{a} \boldsymbol{d} \boldsymbol{j} \boldsymbol{A}| \) is \( \boldsymbol{a}^{\boldsymbol{k}} \)
What is k?
Subject: Chemistry
Primary alkyl halide \( C_{4} H_{9} B r \)
\( (a) \)
reacted with alcoholic KOH to give compound (b). Compound (b) is reacted with \( H B r \) to give (c) which is an isomer of (a). When (a) is reacted with sodium
metal it gives compound (d), \( C_{8} H_{18} \) which is different from the compound formed when n-butyl bromide is reacted with sodium. Give the structural
formula of (a) and write the equations for all the reactions.
Subject: Maths
\( \left|\begin{array}{ccc}\boldsymbol{x}+\mathbf{2} & \mathbf{2} \boldsymbol{x}+\mathbf{3} & \mathbf{3} \boldsymbol{x}+\mathbf{4} \\ \mathbf{2} \boldsymbol{x}+\mathbf{3} & \mathbf{3} \boldsymbol{x}+\mathbf{4} & \mathbf{4} \boldsymbol{x}+\mathbf{5} \\ \mathbf{3} \boldsymbol{x}+\mathbf{5} & \mathbf{5} \boldsymbol{x}+\mathbf{8} & \mathbf{1 0} \boldsymbol{x}+\mathbf{1 7}\end{array}\right|=\mathbf{0} \) then
\( x \) is equal to
A \( .-1,-2 \)
в. 1,2
\( c \cdot 1,-2 \)
D. -1,2
Subject: Chemistry
In spite of having less electron affinity than chlorine, fluorine is the strongest
oxidizing agent among the halogens. The most important reason for this phenomenon is :
A. lower bond dissociation energy of \( F_{2} \) than \( C l_{2} \)
B. much lower heat of hydration of \( F^{-} \) than \( C l \)
C. much greater heat of hydration of \( F^{-} \) than \( C l \)
D. greater electronegativity of \( F \) than \( C l \)
Subject: Physics
In a Young's double-slit interference experiment using a yellow light of wavelength \( \lambda \), with the slits labelled \( S_{1} \)
and \( S_{2} . \) If \( P \) is the centre of a dark
fringe on the screen on which the resulting diffraction pattern is
projected, Find out the equations
relating \( S_{1} P \) and \( S_{2} P \) which could be
true?
A \( \cdot S_{1} P-S_{2} P=\frac{1}{2 \lambda} \)
B . \( S_{1} P-S_{2} P=\lambda \)
c. \( S_{1} P-S_{2} P=2 \lambda \)
D. \( S_{1} P-S_{2} P=3 \lambda \)
E . \( S_{1} P=S_{2} P \)
Subject: Maths
Eliminate \( x \) from equations
\( \sin (a+x)=2 b \) and \( \sin (a-x)=2 c \)
A \( \cdot \frac{(b+c)^{2}}{\sin ^{2} a}-\frac{(b-c)^{2}}{\cos ^{2} a}=1 \)
B. \( \frac{(b+c)^{2}}{\sin ^{2} a}+\frac{(b+c)^{2}}{\cos ^{2} a}=1 \)
\( ^{C} \cdot \frac{(b+c)^{2}}{\sin ^{2} a}+\frac{(b-c)^{2}}{\cos ^{2} a}=1 \)
D. \( \frac{(b+c)^{2}}{\sin ^{2} a}+\frac{(b-c)^{2}}{\cos ^{2} a}=-1 \)
Subject: Biology
Match the following and mark the
correct set.
Column I
\( \| \)
I. Arum Vegetative reproduction
II. Micropropagation
B. Flytrap mechanism
III. Heterothallie
Entomophilly
IV. Coloured petal and nectar Sexual reproduction
\( A \cdot|-A,| I-B,|I|-C, I V-D \)
B. I-B, II - A, III - D, IV - C
c. \( 1-\mathrm{c}, \) ।। \( -\mathrm{B}, \) ।I \( -\mathrm{D}, \mathrm{IV}-\mathrm{A} \)
D. I - A, II - C, III - D, IV - B
Subject: Maths
Suppose a girl throws a die. If she gets a
5 or \( 6, \) she tosses a coin 3 times and
notes the number of heads. If she gets
1,2,3 and 4 she tosses a coin once and
notes whether a head or tail is obtained.
If she obtained exactly one head. What
is the probability that she threw 1,2,3 or 4 with the die?
Subject: Chemistry
Which of the following statements
is/are correct?
This question has multiple correct options
A. The freezing point of water is depressed by the addition of glucose.
B. The degree of dissociation of a weak electrolye decrease as its concentration decreases
C. Energy is released when a substance dissolves in water provided that the hydration energy of the substance is more than its lattice energy.
D. If two liquids that form an ideal solution are mixed,the change in entropy is positive.
Subject: Maths
Find the continuity of \( f(x) \), If \( \boldsymbol{f}(\boldsymbol{x})=\left\{\begin{array}{ccc}\boldsymbol{x}+\mathbf{1} & \boldsymbol{i f} & \boldsymbol{x} \geq \mathbf{1} \\ \boldsymbol{x}^{2}+\mathbf{1} & \boldsymbol{i f} & \boldsymbol{x}<\mathbf{1}\end{array}\right\} \)
Subject: Maths
Suppose the cubic \( x^{3}-p x+q=0 \) has
three distinct real roots where \( p>0 \)
and \( \boldsymbol{q}>0 . \) Then,which one of the
following holds?
A. Minima at \( \sqrt{\frac{P}{3}} \) and maxima at \( -\sqrt{\frac{p}{3}} \)
B. Minima at \( -\sqrt{\frac{P}{3}} \) and maxima at \( \sqrt{\frac{p}{3}} \)
C. minima at both \( \sqrt{\frac{p}{3}} \) and \( -\sqrt{\frac{p}{3}} \)
D. Mixima at both \( \sqrt{\frac{P}{3}} \) and \( -\sqrt{\frac{P}{3}} \)
Subject: Physics
If a cyclist takes a turn of radius \( 10 m \) going at a speed of \( 10 \mathrm{m} / \mathrm{s} \) then find the
angle through which he must bend in
order to avoid overturning. [asume \( \boldsymbol{g}= \)
\( \left.10 m / s^{2}\right] \)
A \( .90^{\circ} \)
B. \( 0^{\circ} \)
\( c \cdot 45^{\circ} \)
D. 30
Subject: Maths
Find the range of the following function:
\( \boldsymbol{f}(\boldsymbol{x})=\boldsymbol{x}^{2}+\boldsymbol{2}, \boldsymbol{x} \in \boldsymbol{R} \)
\( A \cdot(-2, \infty) \)
B. \( (2, \infty) \)
c. \( (3, \infty) \)
D. None of these
Subject: Physics
Assertion:In simple harmonic motion A
is the amplitude of oscillation. If \( t_{1} \) be
the time to reach the particle from mean position to \( \frac{A}{\sqrt{2}} \) and \( t_{2} \) the time to reach from \( \frac{\boldsymbol{A}}{\sqrt{\mathbf{2}}} \) to \( \mathbf{A}, \) then \( \boldsymbol{t}_{\mathbf{1}}=\frac{\boldsymbol{t}_{\mathbf{2}}}{\sqrt{\mathbf{2}}} \)
Reason : Equation of motion for the particle starting from mean position is \( \operatorname{given} \operatorname{by} x=A \cos (\omega t) \) and of the
particle starting from extreme position is given by \( \boldsymbol{A} \sin (\boldsymbol{\omega} \boldsymbol{t}) \)
A. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
B. Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion
c. Assertion is correct but Reason is incorrect
D. Both Assertion and Reason are incorrect
Subject: Maths
If \( x=\cos 10^{\circ} \cos 20^{\circ} \cos 40^{\circ}, \) then the
value of \( x \) is
A \( \cdot \frac{1}{4} \tan 10^{\circ} \)
B. \( \frac{1}{8} \cot 10^{\circ} \)
c. \( \frac{1}{8} \cos 10^{\circ} \)
D. \( \frac{1}{8} \sec 10^{\circ} \)
Subject: Chemistry
Heating of oxalic acid with conc \( . \boldsymbol{H}_{2} \boldsymbol{S} \boldsymbol{O}_{4} \)
evolves:
This question has multiple correct options
A. \( C O \)
в. \( C O_{2} \)
\( c \cdot S O_{2} \)
\( \mathrm{D} \cdot \mathrm{SO}_{3} \)