AkshitPareek2004/jee-question-analyzer-data huggingface dataset:
Subject: Physics
At a certain location, the strength of the electric field is \( 30.0 N / C . \) A charge of \( 3.00 C \) is placed at this location. How much force does this charge
experience due to the electric field?
A. \( 90.0 N \)
n
B . \( 10.0 N \)
c. \( 0.100 N \)
D. \( 270 N / C \)
E . \( 3.33 N / C \)
Subject: Physics
A solid ball of volume \( V \) is dropped in a viscous liquid. It experiences a viscous force F. If the solid ball of volume \( 2 V \) of
same material is dropped in the same fluid, then the viscous force acting on it will be
\( \mathbf{A} \cdot n F / 2 \)
B. \( F / 2 \)
\( c .2 F \)
D. \( 2 n F \)
Subject: Maths
One vertex of the equilateral triangle with centroid at the origin and one side
as \( \boldsymbol{x}+\boldsymbol{y}-\mathbf{2}=\mathbf{0} \) is:
A \( \cdot(-1,-1) \)
в. (2,2)
c. (-2,-2)
D. (2,-2)
Subject: Physics
The ratio of distance traversed in
successive intervals of time when a
body falls freely under gravity from certain height is
A. 1: 2: 3
B. 1: 5: 9
\( \mathrm{c} \cdot 1: 3: 5 \)
D. \( \sqrt{1}: \sqrt{2}: \sqrt{3} \)
E. 1: 4: 9
Subject: Chemistry
In the reaction: \( \boldsymbol{I}_{2}+2 \boldsymbol{S}_{2} \boldsymbol{O}_{3}^{2-} \rightarrow \boldsymbol{2} \boldsymbol{I}^{-}+ \)
\( \boldsymbol{S}_{4} \boldsymbol{O}_{6}^{2-} \)
A \( \cdot I_{2} \) is a reducing agent
B . \( I_{2} \) is an oxidising agent
c. \( S_{2} O_{3}^{2-} \) is a reducing agent
D. \( S_{2} O_{3}^{2-} \) is an oxidising agent
Subject: Maths
If \( z_{1}, z_{2}, \varepsilon C \) are such that \( \left|z_{1}+z_{2}\right|^{2}= \)
\( \left|z_{1}\right|^{2}+\left|z_{2}\right|^{2} \) then \( \frac{z_{1}}{z_{2}} \) is
A . zero
B. purely real
c. purely imaginary
D. complex
Subject: Chemistry
Given below are the steps for extraction
of copper from its ore. The balance reaction involved in reduction of
copper(l) oxide with copper(l) sulphide is given in the reaction below.
\[
\mathbf{2} C u_{2} \boldsymbol{O}+\boldsymbol{C} \boldsymbol{u}_{2} \boldsymbol{S} \stackrel{\text {Heat}}{\longrightarrow} \boldsymbol{6} \boldsymbol{C} \boldsymbol{u}+\boldsymbol{S} \boldsymbol{O}_{2}
\]
This reaction is known as:
A. auto-reduction
B. catalytic- reduction
c. acid reduction
D. none of these
Subject: Maths
Mode of the distribution
\begin{tabular}{lccccc} 
Marks & 4 & 5 & 6 & 7 & 8 \\
No. of students & 3 & 5 & 10 & 6 & 1 \\
\hline
\end{tabular}
\( \mathbf{A} \cdot \mathbf{6} \)
B. 10
\( c \cdot 8 \)
\( D \cdot 4 \)
Subject: Physics
A particle is moving with velocity \( \vec{v}= \) \( K(y \hat{i}+x \hat{j}), \) where \( K \) is a constant. The
general equation for its path is
A \( \cdot y^{2}=x^{2}+ \) contant
B . \( y=x^{2}+ \) contant
C \( \cdot y^{2}=x+ \) contant
D. \( x y= \) contant
Subject: Physics
\( \mathbf{A} \)
\( 3 \Omega \) resistor as shown in fig is dipped
in to a calorimeter containing \( \boldsymbol{H}_{2} \boldsymbol{O} \). the
thermal capacity of \( H_{2} O+ \) calorimeter is 2000 J/K. If the circuit is active for 15
minutes find the rise in temperature of
\( \boldsymbol{H}_{2} \boldsymbol{O} \)
A \( \cdot 2.4^{\circ} \mathrm{C} \)
В. \( 2.9^{\circ} \mathrm{C} \)
\( c \cdot 3.4^{\circ} C \)
D. \( 1.9^{\circ} \mathrm{C} \)
Subject: Physics
Let \( F, F_{N} \) and \( f \) denote the magnitudes
of the contact force, normal force and
the frictional force exerted by one surface on the other kept in contact. If none of these is zero,
This question has multiple correct options
A \( \cdot F>F_{N} \)
в. \( F>f \)
c. \( F_{N}>f \)
D. \( F_{N}-f<F<F_{N}+f \)
Subject: Chemistry
Match the columns
\begin{tabular}{ll|l} 
& I & \\
(a) & Physical change & (I) & Curdling of milk \\
(b) & Chemical change & (ii) & Demagnetisation of magnets \\
& (iii) & Digestion of food \\
& (iv) & Crystallisation of substance \\
& (v) & Rusting of iron
\end{tabular}
\( A \cdot a-i, i i, \) iii, \( b-i v, v \)
B. \( a-i i, \) iv, \( b-i, \) iii, iv
\( \mathbf{C} \cdot a-i i, i v, b-i, \) iii, \( v \)
\( \mathbf{D} \cdot a-i i i, v, b-i, \) ii, iv
Subject: Chemistry
The disodium salt of ethylene diamine tetracetic acid can be used to estimate the following ion(s) in the aqueous solution.
A. \( M g^{2+} \) ion
B. \( C a^{2+} \) ion
c. \( N a^{+} \) ion
D. both \( M g^{2+} \) and \( C a^{2+} \)
Subject: Maths
\( f\left|\begin{array}{ccc}\boldsymbol{x}+\mathbf{1} & \mathbf{3} & \mathbf{5} \\ \mathbf{2} & \boldsymbol{x}+\mathbf{2} & \mathbf{5} \\ \mathbf{2} & \mathbf{3} & \boldsymbol{x}+\mathbf{4}\end{array}\right|=\mathbf{0}, \) then \( \boldsymbol{x}=? \)
A . 1,9
В. -1,9
c. -1,-9
D. 1,-9
Subject: Chemistry
The equivalent conductance of \( B a^{2+} \)
and \( C l^{-} \) are respectively 127 and 76
\( \operatorname{oh} m^{-1} c m^{2} e q^{-1} \) at infinite dilution.
What will be the equivalent
conductance of \( B a C l_{2} \) at infinite
dilution?
A . 139.5 ohm \( ^{-1} \mathrm{cm}^{2} \) eq \( ^{-1} \)
B . 203 ohm \( ^{-1} \mathrm{cm}^{2} \) eq\( ^{-1} \)
c. 279 ohm \( ^{-1} \mathrm{cm}^{2} \) eq \( ^{-1} \)
D. 101.5 ohm \( ^{-1} \mathrm{cm}^{2} \) eq \( ^{-1} \)
Subject: Maths
If \( \boldsymbol{f}(\boldsymbol{x})=\left\{\begin{array}{ll}\boldsymbol{a} \boldsymbol{x}^{2}-\boldsymbol{b}, & \boldsymbol{i} \boldsymbol{f} \quad|\boldsymbol{x}|<-1 \\ -\frac{1}{|\boldsymbol{x}|} \boldsymbol{i} \boldsymbol{f} & |\boldsymbol{x}| \geq-1\end{array}\right. \)
differential at \( x=1 . \) Find the values of
\( a \) and \( b \)
A \( . a=1 / 2 ; b=3 / 2 \)
В. \( a=1 / 2 ; b=-3 / 2 \)
c. \( a=-1 / 2 ; b=3 / 2 \)
Subject: Maths
The contrapositive of "if in a triangle
\( A B C, A B>A C, \) then \( \angle C>\angle B^{\prime \prime}, \) is
\( \mathbf{A} \cdot \) If in a triangle \( A B C, \angle C>\angle B, \) then \( A B>A C \)
B. If in a triangle \( A B C, A B \not \) # A then \( \angle C \Varangle \angle B \).
C. If in a triangle \( A B C, \angle C \Varangle \angle B, \) then \( A B>A C \).
D. If in a triangle \( A B C, \angle C \Varangle \angle B, \) then \( A B \Varangle A C \).
Subject: Physics
A ball thrown from point \( A \) making an
angle \( 60^{\circ} \) with the line \( O A S \) as shown
in the figure, where \( O A=\frac{R}{\sqrt{3}}(O \) is the
centre of spherical surface of \( \boldsymbol{P} \boldsymbol{Q} \boldsymbol{S} \) ). If after striking the hemispherical surface, the ball rebounds in direction
parallel to \( O A \). Find the coefficient of restitution between the ball and the
surface. (Neglect the effect of gravity and any type of frictional force
Subject: Maths
Prove that \( \left|\begin{array}{lll}\mathbf{1} & \boldsymbol{x} & \boldsymbol{x}^{3} \\ \mathbf{1} & \boldsymbol{y} & \boldsymbol{y}^{3} \\ \mathbf{1} & \boldsymbol{z} & \boldsymbol{z}^{3}\end{array}\right|=(\boldsymbol{x}+\boldsymbol{y}+ \)
\( z(x-y)(y-z)(z-x) \)
Subject: Chemistry
(i) Prove that osmotic presser is a
colligative property
(ii) Calculate the molar concentration of
urea solution if it exerts an osmotic
pressure of 2.45 atmosphere at \( 300 \mathrm{K} \) \( \left[\mathrm{R}=0.0821 \mathrm{I} . \text { atm. } \operatorname{mol}^{1} \boldsymbol{K}^{-1}\right] \)
Subject: Chemistry
On oxymercuration-demercuration, the given compound produces the major product:
\[
\widehat{O} \int^{C H_{2}-C H}=C H_{2}
\]
\( A \)
\( \widehat{\mathrm{O}} \mathrm{CH}_{2}-\mathrm{CH}-\mathrm{CH}_{3} \)
\( \mathrm{OH} \)
в.
\( \widehat{O} \int^{C H}_{2}-C H_{2}-C H_{2}-O H \)
\( c \)
\( \begin{array}{c}\widehat{\mathrm{O}} \mathrm{CH}_{2}-\mathrm{CH}-\mathrm{CH}_{2} \\ \mathrm{OH}\end{array}_{\mathrm{OH}}^{\mathrm{T}} \)
D.
\( \widehat{O} \int^{C H_{2}-C O O H} \)
Subject: Physics
toppr ०६
Q Type your question
spring is unsurtecritu. Next with the blue mass hanging, the
spring stretches.

Finally, with the red mass hanging, the
spring stretches twice as much as it
did with blue mass.
How much energy does the hanging red
mass store in the spring-mass system,
compared to the amount of energy the
hanging blue mass stores in the spring-
mass system?
A. The red mass stores twice as much energy as the blue mass
B. The red mass stores fours times as much energy as the blue mass
C. The red mass stores half as much energy as the blue mass
D. The red mass stores about 1.4 times as much energy as the blue mass
E. We cannot determined how much energy the red mass stores compared to the blue mass, because we do not know the unstretched length of the spring
Subject: Physics
Electric potential on the surface of a
hollow conducting sphere is V. The electric potential is \( \frac{V}{2} \) at a distance
A \( \cdot \frac{R}{2} \) inside the sphere
B. \( \frac{R}{2} \) from the surface of the sphere and outside it
C. \( 2 \mathrm{R} \) from the centre of the sphere
D. \( 2 \mathrm{R} \) from the surface of the sphere and outside it
Subject: Physics
A ball of mass \( m \) moving with velocity \( v \) collides elastically with another ball of identical mass coming from opposite direction with velocity \( 2 v \). Their velocities after collision will be :
A. \( -v, 2 v \)
В. \( -2 v, v \)
c. \( v,-2 v \)
D. \( 2 v,-v \)
Subject: Chemistry
\( \boldsymbol{K} \boldsymbol{B r}+\boldsymbol{M n O}_{2}+\boldsymbol{H}_{2} \boldsymbol{S O}_{4}(\text {conc.}) \longrightarrow \)
\( \boldsymbol{K} \boldsymbol{H} \boldsymbol{S} \boldsymbol{O}_{\mathfrak{S}}+\boldsymbol{M} \boldsymbol{n} \boldsymbol{S} \boldsymbol{O}_{4}+\boldsymbol{H}_{2} \boldsymbol{O}+[\boldsymbol{X}] \)
(unbalanced equation). Which statement is/are correct?
This question has multiple correct options
A. \( X \) turns starch paper orange red
B. \( X \) with \( A g N O_{3} \) solution gives a pale yellow ppt. which 's completely soluble in excess ammonium hydroxide
c. \( X \) produces violet colour in organic layer in \( K I \) solution
D. \( X \) is liberated when a mixture of \( K B r, K_{2} C r_{2} O_{7} \) and
conc. \( H_{2} S O_{4} \) is heated
Subject: Chemistry
In which of the following cases \( C-C \)
bond length will be the longest?
A. \( C H_{3}-C F_{3} \)
В. \( F C H_{2}-C H_{2} F \)
\( \mathbf{c} \cdot F_{2} C H-C H F_{2} \)
D. \( C F_{3}-C F_{3} \)
Subject: Maths
The differential equation corresponding
to \( x y=c^{2}, \) where \( c \) is an arbitrary
constant, is:
A. \( x y^{\prime \prime}+x=0 \)
B . \( y^{\prime \prime}=0 \)
c. \( x y^{\prime}+y=0 \)
D. \( x y^{\prime \prime}-x=0 \)
Subject: Physics
Find the currents \( I_{1} \) and \( I_{2} \) for the
circuit shown in given figure.
A \( \cdot I_{1}=-6 A \) and \( I_{2}=9 A \)
B . \( I_{1}=6 A \) and \( I_{2}=9 A \)
\( \mathbf{c} \cdot I_{1}=-6 A \) and \( I_{2}=-9 A \)
\( \mathrm{D} \cdot I_{1}=-9 A \) and \( I_{2}=6 A \)
Subject: Physics
State Bohr's postulate of hydrogen atom which successfully explains the emission lines in the spectrum of
hydrogen atom. Use Rydberg formula to determine the
wavelength of \( \boldsymbol{H}_{\boldsymbol{\alpha}} \) line.
[Given: Rydberg constant \( \boldsymbol{R}= \)
\( 1.0310^{7} m^{-1} \)
Subject: Physics
In a Young's double slit experiment, constructive interference is produced at
a certain point \( P . \) The intensities of
light at \( \boldsymbol{P} \) due to the individual sources
are 4 and 9 units. The resultant
intensity at point \( \boldsymbol{P} \) will be-
A. 13 units
B. 25 units
c. \( \sqrt{97} \) units
D. 5 units
Subject: Maths
If a monomial \( \frac{2}{5} x^{2} y^{2}, \) binomial \( 2 x+3 y \) and a trinomial \( 2 x+3 y+4 z \) are
added, then the resultant expression is
\( a \)
A. Monomial
B. Binomial
c. Multinomial
D. Trinomial
Subject: Maths
What is \( \left|\begin{array}{ccc}-a^{2} & a b & a c \\ a b & -b^{2} & b c \\ a c & b c & -c^{2}\end{array}\right| \) equal to?
A \( .4 a b c \)
B . \( 4 a^{2} b c \)
\( \mathbf{c} \cdot 4 a^{2} b^{2} c^{2} \)
D. \( -4 a^{2} b^{2} c^{2} \)
Subject: Physics
A thin bi-convex lens \( (n=1.5) \) has a focal length of \( 50 \mathrm{cm} \) in air.When immersed in a transparent liquid, the focal length is measured to be \( 250 \mathrm{cm} \).The refractive
index of the liquid medium is
A . 1.33
B. 1.46
\( c \cdot 1.30 \)
D. 1.36
Subject: Chemistry
Arrange the following in order of
decreasing basic strength.
\( \mathbf{I} \)
II
III
\( \mathbf{I V} \)
A. \( |V>|>||>|| \mid \)
\( \mathbf{B} \cdot|V>|>|||>| \)
\( \mathbf{C} \cdot|V>||>|>|| \mid \)
D. \( |>||>|||>\mid V \)
Subject: Maths
Which of the following statements is
the contrapositive of the statement, You
win the game if you know the rules but
are not overconfident.
A. If you lose the game then you dont know the rules or you are overconfident
B. A sufficient condition that you win the game is that you know the rules or you are not overconfident
c. If you dont know the rules or are overconfident you lose the game
D. If you know the rules and are overconfident then you win the game
Subject: Chemistry
Whenever a mixture of gases is allowed
to come in contact with a particular
adsorbent under the same conditions,
the more strong adsorbate is adsorbed
to a greater extent irrespective of its
amount present. For example, \( \boldsymbol{H}_{2} \boldsymbol{O} \) is
adsorbed to more extent on silica gel
than \( N_{2} \) and \( O_{2} . \) This shows that some
adsorbates are preferentially adsorbed. It is also observed that preferentially adsorbable adsorbents can displace a
weakly adsorbed substance from the surface of an adsorbent.
When temperature is increased:
A. extent of adsorption increases
B. extent of adsorption decreases
C. no effect on adsorption
D. extent of adsorption first decreases, then increases
Subject: Maths
Divide: \( \left(-16 x^{6}-24 x^{4}\right) \) by \( \left(-8 x^{3}\right) \)
A \( \cdot 2 x^{3}+3 x \)
B \( .2 x^{2}+3 \)
c. \( -2 x^{3}-3 x \)
D. \( -2 x^{2}-3 \)
Subject: Chemistry
Consider Bohr theory for hydrogen atom. The magnitude of angular momentum, orbit radius and velocity of the electron
in \( n^{t h} \) energy state in a hydrogen atom are \( l, r \) and \( v \) respectively. Find out the
value of \( x \) if product of \( v, r \) and \( l \) is
directly proportional to \( n^{x} \)
Subject: Maths
If the system of equations \( 2 x+3 y=7 \)
\( 2 a x+(a+b) y=28 \)
has infinitely many solutions, then
A \( . a=2 b \)
B. \( b=2 a \)
c. \( a+2 b=0 \)
\( \mathbf{D} \cdot 2 a+b=0 \)
Subject: Chemistry
Because of lanthanoid contraction, which of the following pairs of elements have nearly same atomic radii? (Numbers in the brackets are atomic
numbers)
A \( . \quad Z r(40) \) and \( N b(41) \)
B. \( Z r(40) \) and \( H f(72) \)
c. \( Z r(40) \) and \( T a(73) \)
D. \( T i(22) \) and \( Z r(40) \)
Subject: Maths
If the \( p^{t h} \) term of an \( A P \) is \( q \) and its \( q^{t h} \)
term is \( p, \) then its \( (p+q)^{t h} \) term is
\( A \cdot p \)
B. \( q \)
c. \( (p+q) \)
D.
Subject: Maths
The degree of the differential equation
\( \boldsymbol{x}=\mathbf{1}+\frac{\boldsymbol{d} \boldsymbol{y}}{\boldsymbol{d} \boldsymbol{x}}+\frac{\mathbf{1}}{\mathbf{2 !}}\left(\frac{\boldsymbol{d} \boldsymbol{y}}{\boldsymbol{d} \boldsymbol{x}}\right)^{2}+ \)
\( \frac{1}{3 !}\left(\frac{d y}{d x}\right)^{3}+\dots \dots \) is?
\( A \cdot 3 \)
B.
c. Not defined
D. None of these
Subject: Physics
The motion of a particle is given by \( \boldsymbol{x}= \)
\( a \sin \omega t+b \cos \omega t . \) The motion of the
particle is:
A. Not simple harmonic
B. Simple harmonic with amplitude \( (A-B) / 2 \)
C. Simple harmonic with amplitude \( (A+B) / 2 \)
D. Simple harmonic with amplitude \( \sqrt{A^{2}+B^{2}} \)
Subject: Maths
If \( A B=-\bar{i}-2 \bar{j}-6 \bar{k}, B \bar{C} C=2 \bar{i}-\bar{j}+ \)
\( \bar{k}, \bar{A} C=\bar{i}-3 \bar{j}-5 \bar{k} . \) Then \( \angle B=? \)
A \( \cdot \)
\[
\begin{array}{l}\cos ^{-1}(\sqrt{\frac{40}{41}}) \\ \text { B } \cdot \\ \qquad \begin{array}{l}\text { cos }^{1}(\sqrt{\frac{6}{41}}) \\ \text { c. } \cos ^{-1}\left(\frac{6}{41}\right)\end{array} \\ \text { D. } \cos ^{-1}\left(\frac{62}{63}\right)\end{array}
\]
Subject: Chemistry
Which of the following statement is not true for the reaction given below?
\( \left.\mathbf{9} \boldsymbol{C u}\left(\boldsymbol{H}_{2} \boldsymbol{O}\right)_{4}\right]^{2+}+\boldsymbol{4} \boldsymbol{N} \boldsymbol{H}_{3} \rightleftharpoons \)
\( \left[\boldsymbol{C u}\left(\boldsymbol{N} \boldsymbol{H}_{3}\right)_{4}\right]^{2+}+\boldsymbol{4} \boldsymbol{H}_{2} \boldsymbol{O} \)
A. It is a ligand substitution reaction
B. \( N H_{3} \) is a relatively strong field ligand while \( H_{2} O \) is a weak field ligand
c. During the reaction, there is a change in colour from light blue to dark blue
D \cdot \( \left[C u\left(N H_{3}\right)_{4}\right]^{2+} \), has a tetrahedral structure and is paramagnetic
Subject: Physics
A body moves with uniform velocity of \( \boldsymbol{u}=\mathbf{7} \boldsymbol{m} / \boldsymbol{s} \) from \( \boldsymbol{t}=\mathbf{0} \boldsymbol{t o} \boldsymbol{t}=\mathbf{1 . 5 s} . \) It
starts moving with an acceleration of
\( 10 m / s^{2} . \) The distance between \( t= \)
\( \mathbf{0} \) to \( \boldsymbol{t}=\mathbf{3} \boldsymbol{s} \) will be:
A. \( 47.75 \mathrm{m} \)
B. 32.25 m
\( c \cdot 16.75 \mathrm{m} \)
D. 27.50 \( \mathrm{m} \)
Subject: Physics
An \( L C R \) circuit has \( L=10 m H, R= \)
\( 150 \Omega \) and \( C=1 \mu F \) connected in
series to a source of \( 150 \sqrt{2} \) cos \( \omega t \) volt.
At a frequency that is \( 50 \% \) of the resonant frequency, calculate the average power (in \( \boldsymbol{w} \boldsymbol{a} \boldsymbol{t} \boldsymbol{t} \) ) dissipated per
cycle.
Subject: Physics
KEPLER'S LAWS
A planet revolves around the sun in an
elliptical orbit. If \( v_{p} \) and \( v_{a} \) are the velocities of the planet at the perigee and apogee respectively, then the eccentricity of elliptical orbit is given by
A. \( \frac{v_{p}}{v_{n}} \)
в. \( \frac{v_{a}-v_{p}}{v_{a}+v_{p}} \)
c. \( \frac{v_{p}+v_{a}}{v_{p}-v_{a}} \)
D. \( \frac{v_{p}-v_{a}}{v_{p}+v_{a}} \)
Subject: Physics
frictionless surface of an inclined plane,
as shown in the figure. The angle of the
incline suddenly changes from \( 60^{\circ} \) and
\( 30^{\circ} \) at point \( B \)
The block is initially at rest at \( \boldsymbol{A} \)
Assume that collisions between the
block and the incline are totally
inelastic. The speed of the block at point
\( B \) immediately after it strikes the
second incline is
\( \mathbf{A} \cdot \sqrt{60} m / s \)
B. \( \sqrt{45} \mathrm{m} / \mathrm{s} \)
\( \mathbf{c} \cdot \sqrt{30} m / s \)
D. \( \sqrt{15} \mathrm{m} / \mathrm{s} \)
Subject: Physics
Three capacitors \( \boldsymbol{C}_{\mathbf{1}}=\boldsymbol{6} \boldsymbol{\mu} \boldsymbol{F}, \boldsymbol{C}_{2}= \)
\( 12 \mu F \) and \( C_{3}=20 \mu F \) are connected to
a \( 100 V \) battery, as shown following
figure below:
Calculate:
Charge on each plate of capacitor \( C_{1} \)
Subject: Maths
In a trapezium \( \mathrm{ABCD}, \mathrm{AB}|| \mathrm{CD} . \) If \( \angle \boldsymbol{A}= \)
\( 60^{\circ} \) then \( \angle D=? \)
A \( .100^{\circ} \)
B. \( 120^{\circ} \)
\( c \cdot 70 \)
D. 300
Subject: Chemistry
Which alkene on ozonolysis gives above
mention product? \( \boldsymbol{C H}_{3} \boldsymbol{C H}_{2} \boldsymbol{C H O} \) and \( \boldsymbol{C H}_{3} \underset{\|}{C} \boldsymbol{C H}_{3} \)
A \( \cdot C H_{3} C H_{2} C H=C\left(C H_{3}\right) \)
B. \( C H_{3} C H_{2} C H=C H C H_{2} C H_{3} \)
c. \( C H_{3} C H_{2} C H=C H C H_{3} \)
D. \( C H_{3}-C_{\text {। }}=C H C H_{3} \)
Subject: Chemistry
At certain temperature, \( 1.6 \% \) solution of an unknown substance is isotonic with
\( 2.4 \% \) solution of urea. If both the
solutions have the same solvent and
both the solution have same density \( 1 g m / c m^{3}, \) what will be the molecular mass of unknown substance in
\( \boldsymbol{g} \boldsymbol{m} / \boldsymbol{m} \boldsymbol{o l} \)
(Molecular mass of urea 60 gm / mol)
A. 30
B. 40
c. 80
D. 90
Subject: Physics
Assertion
In the absence of atmosphere the sky
would appear black.
Reason
Atmosphere scatters the light and
hence we get blue colour.
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
Choose the correct answer form the
alternatives given. When alkaline earth metals dissolve in
ammonia, they form coloured solution like alkali metals. Which of the
following observations regarding the reaction are correct?
(i) Dilute solution are bright blue in
colour due to solvated electrons.
(ii) These solutions decompose to form amides and hydrogen.
(iii) From this solution the ammoniates
\( \left[M\left(N H_{3}\right)_{6}\right]^{2+} \) can be recovered by
evaporation
A. only (i) and (ii)
B. Only (i) and (ii) and (iii)
c. only (ii) and (iii)
D. only (i)
Subject: Chemistry
Which one of the following constitutes a group of the isoelectronic species?
A. \( \mathrm{CN}^{-}, \mathrm{N}_{2}, \mathrm{O}_{2}^{2-}, \mathrm{C}_{2}^{2-} \)
в. \( \mathrm{N}_{2}, \mathrm{O}_{2}^{-}, \mathrm{NO}^{+}, \mathrm{CO} \)
\( \mathrm{c} \cdot \mathrm{C}_{2}^{2-}, \mathrm{O}_{2}^{-}, \mathrm{CO}, \mathrm{NO} \)
D. \( \mathrm{NO}^{+}, \mathrm{C}_{2}^{2-}, \mathrm{CN}^{-}, \mathrm{N}_{2} \)
Subject: Chemistry
Assuming the compounds to be completely dissociated in aqueous solution, identify the pair of the solutions that can be expected to be isotonic at the same temperature.
A . \( 0.1 \mathrm{M} \) Urea and \( 0.01 \mathrm{M} \) Nac
B. 0.02 M NaCl and 0.01 M \( N a_{2} S O_{4} \)
D. 0.01 M Sucrose and 0.02 M glucose
Subject: Chemistry
If \( 50 m L \) of \( 0.2 M K O H \) is added to
\( 40 m L \) of \( 0.5 M H C O O H . \) The \( p H \) of
the resulting solution is:
\( \left(\boldsymbol{K}_{\boldsymbol{a}}=\mathbf{1 . 8} \times \mathbf{1 0}^{-\mathbf{4}}\right) \)
A. 3.74
B. 5.6
\( c .7 .5 \)
D. 3.4
Subject: Physics
Two resistors \( \boldsymbol{R}_{1}(\mathbf{2 4} \pm \mathbf{0 . 5}) \mathbf{\Omega} \) are
joined in series. The equivalent
resistance is
A . \( 32 \pm 0.33 \Omega \)
B \( .48 \pm 1 \Omega \)
c. \( 32 \pm 0.2 \Omega \)
D. \( 32 \pm 0.9 \Omega \)
Subject: Physics
A solid sphere of radius \( R_{1} \) and volume charge density \( \rho=\frac{\rho_{0}}{r} \) is enclosed by a
hollow sphere of radius \( R_{2} \) with
negative surface charge density \( \sigma \), such
that the total charge in the system is
zero, \( \rho_{0} \) is positive constant and \( r \) is the
distance from the centre of the sphere. The ratio \( \frac{R_{2}}{R_{1}} \) is
A \( \cdot \frac{\sigma}{\rho_{0}} \)
В. \( \sqrt{2 \sigma / \rho_{0}} \)
C \( \cdot \sqrt{\rho_{0} / 2 \sigma} \)
D. \( \frac{\rho_{0}}{\sigma} \)
Subject: Chemistry
Following reaction takes place by mechanism
\( N O_{2}+C O \rightarrow N O+C O_{2} \)
\( \boldsymbol{\operatorname { S t e p }} \boldsymbol{I} \quad \boldsymbol{N} \boldsymbol{O}_{2}+\boldsymbol{N} \boldsymbol{O}_{2} \quad \stackrel{\boldsymbol{k}_{1}, s l o \boldsymbol{w}}{\longrightarrow} \)
\( N O_{3}+N O \)
\( \operatorname{Step} I I \quad N O_{3}+C O \quad \stackrel{k_{2}, f a s t}{\longrightarrow} \)
\( N O_{2}+C O_{2} \)
Hence, \( \left(\frac{d x}{d t}\right) \) for the given reaction is:
\( \mathbf{A} \cdot k_{1}\left[N O_{2}\right]^{2}-k_{2}\left[N O_{3}\right][C O] \)
B \( \cdot k_{1}\left[N O_{2}\right]^{2}+k_{2}\left[N O_{3}\right][C O] \)
\( \mathbf{c} \cdot k_{1}\left[N O_{2}\right]^{2} \)
D. \( k_{1}\left[N O_{2}\right]+k_{2}[C O] \)
Subject: Physics
There are a large number of cells available, each marked \( (6 V, 0.5 \Omega) \) to be used to supply current to a device of resistance \( 0.75 \Omega, \) requiring \( 24 A \) current. How should the cells be
arranged, so that power is transmitted to the load using minimum number of
cells?
A. Six rows, each containing four cells
B. Four rows, each containing six cells
c. Four rows, each containing four cells
D. Six rows, each containing Six cells
Subject: Chemistry
Q Type your question
dropper and placed it in the bottle shown in the adjoining diagram. The bottle has some aluminium foil. After
the addition of acid, a colourless gas is evolved which is collected by placing a balloon around the mouth of the bottle.
Answer the following now:
¡) Aluminium is a
ii) The formula of Sulphuric acid is
iii) The formula of Aluminium Sulphate
is
iv) The chemical reaction is given
below in word equation: Now write the same using symbols. Aluminium + Sulphuric acid \( \rightarrow \) Aluminium Sulphate + Hydrogen gas