AkshitPareek2004/jee-question-analyzer-data huggingface dataset:
Subject: Physics
In Young's double slit experiment wavelength of light is 6000 A The the phase difference between the light waves reaching the third bright fringe from the central fringe will be:
\( \mathbf{A} \cdot \mathbf{0} \)
в. \( 2 \pi \)
c. \( 4 \pi \)
D. \( 6 \pi \)
Subject: Chemistry
\( \mathbf{1} c c \) of \( \mathbf{0 . 1} \boldsymbol{N} \boldsymbol{H} \boldsymbol{C l} \) is added to \( \mathbf{1} \) litre
solution of sodium chloride. The \( \boldsymbol{p} \boldsymbol{H} \) of
the resulting solution will be:
A. 7
B.
\( c \cdot 10 \)
D. 4
Subject: Biology
Which of the following statements is
incorrect?
A. Term 'Nothospecies' refers to the naturally occurring interspecific hybrids
B. As the species do not change with time, therefore they are considered as static groups
C. Metabolism and response to external stimuli are considered as the defining properties of living organisms
D. Hibiscus rosa-sinensis belongs to the same family to which Althaea rosea and Gossypium hirsutum belong to
Subject: Physics
Determine the angle which the vector \( \boldsymbol{A}=\mathbf{5} \boldsymbol{i}+\boldsymbol{6} \boldsymbol{j}+\mathbf{5} \boldsymbol{k} \) makes with \( \boldsymbol{x}, \boldsymbol{y}, \boldsymbol{z} \)
axis.
Subject: Physics
A person carries a hammer on his
shoulder and holds the other end of its
light handle in his hand. Let \( y \) be the
distance between his hand and
the point of support. If the person
changes \( y \), the pressure on his hand will be proportional to:
\( \mathbf{A} \cdot y \)
В . \( y^{2} \)
\( c \cdot \frac{1}{y} \)
D. \( \frac{1}{y^{2}} \)
Subject: Maths
inflated with both helium and nitrogen
gas. Between the two gases, the balloon
can be inflated up to 8 liters in volume.
The density of helium is 0.20 grams per
liter, and the density of nitrogen is 1.30 grams per liter. The balloon must be
filled so that the volumetric average
density of the balloon is lower than that
of air, which has a density of 1.20 grams per liter. Which of the following system of inequalities best describes
how the balloon will be filled, if \( x \)
represents the number of liters of
helium and \( y \) represents the number of
liters of nitrogen?
A \( \cdot\left\{\begin{array}{l}x+y>8 \\ 20 x+130 y>120\end{array}\right. \)
B. \( \left\{\begin{array}{l}x+y=8 \\ \frac{0.2 x+1.30 y}{2}<1.20\end{array}\right. \)
c. \( \left\{\begin{array}{l}x+y \leq 8 \\ 0.20\left(\frac{x}{x+y}\right)+1.30\left(\frac{y}{x+y}\right)<1.20\end{array}\right. \)
D \( \cdot\left\{\begin{array}{l}x+y \leq 8 \\ 0.20 x+1.30 y<1.20\end{array}\right. \)
Subject: Maths
ff \( \boldsymbol{P}=\left[\begin{array}{ccc}2 & 3 & 1 \\ 0 & -1 & 5\end{array}\right] \) and \( Q= \)
\( \left[\begin{array}{ccc}1 & 2 & -6 \\ 0 & -1 & 3\end{array}\right], \) Evaluate \( 3 P-4 Q \)
\( \mathbf{3} P-4 Q=\left[\begin{array}{lll}a & b & c \\ d & e & f\end{array}\right], \) find sum of
\( a, b, c, d, e, f \)
Subject: Physics
Which expression has the same SI base
units as pressure?
A. \( \frac{\text { force }}{\text { length } \times \text { speed }} \)
в. \( \frac{\text { force }}{\text { length } \times \text { time }} \)
c. \( \frac{\text { mass }}{\text { length } \times(\text { time })^{2}} \)
D. \( \frac{\text { mass } \times(\text { time })^{2}}{\text { length }} \)
Subject: Physics
A loop of area \( 1 m^{2} \) is placed in a
magnetic field \( B=2 T \), such that plane
of the loop is parallel to the magnetic
field. If the loop is rotated by \( 180^{\circ}, \) the
amount of net charge passing through any point of loop, if its resistance is
\( 10 \Omega \) is :
A. \( 0.4 C \)
B. \( 0.2 C \)
\( c .0 .8 C \)
D. \( 0 C \)
Subject: Chemistry
\( \ln \) a reaction \( \boldsymbol{A}+\boldsymbol{B} \rightleftharpoons \boldsymbol{C}+\boldsymbol{D}, \) the
rate constant of forward reaction and
backward reaction is \( K_{1} \) and \( K_{2}, \) then
the equilibrium constant (K) for reaction is expressed as
\( ^{\mathrm{A}} \cdot_{K_{c}}=\frac{K_{2}}{K_{1}} \)
в. \( K_{c}=\frac{K_{1}}{K_{2}} \)
\( \mathbf{c} \cdot K_{c}=K_{1} \times K_{2} \)
D. \( K_{c}=K_{1}+K_{2} \)
Subject: Physics
If the symmetry is such that you can find a surface on which the electric field
is constant, then evaluating the electric flux can be done by
A. dividing the value of the field by the area of the Gaussian surface.
B. multiplying the value of the field times the area of the Gaussian surface
c. multiplying the square of the value of the field times the area of the Gaussian surface.
D. dividing the square of the value of the field times the area of the Gaussian surface
Subject: Physics
Figure shows a charge \( q \) placed at the centre of a hemisphere. A second
charge \( Q \) is placed at one of the positions \( A, B, C \) and \( D . \) In which position(s) of this second charge, the flux of the electric field through the
hemisphere remains unchanged?
his question has multiple correct options
\( A \)
3.
\( c \)
\( D \)
Subject: Chemistry
For the change, \( C_{\text {diamond}} \longrightarrow \)
\( C_{g r a p h i t e} ; \Delta H=-1.89 k J, \) if \( 6 g \) of
diamond
and \( 6 g \) of graphite are separately burnt
to yield \( C O_{2} \) the heat liberated in first
case is:
A. Less than in the second case by \( 1.89 k J \)
B. Less than in the second case by \( 11.34 k J \)
c. Less than in the second case by \( 14.34 k J \)
D. More than in the second case by \( 0.945 k J \)
Subject: Physics
A metal block is experiencing an atmospheric pressure of \( 1 \times 10^{5} N / m^{2} \)
when the same block is placed in a vaccum chamber the fractional change in its volume is (the bulk modulus of
metal is \( \left.1.25 \times 10^{11} N / m^{2}\right) \)
A \( \cdot 4 \times 10^{-7} \)
В. \( 2 \times 10^{-7} \)
c. \( 8 \times 10^{-7} \)
D. \( 1 \times 10^{-7} \)
Subject: Physics
A current of 1 A through a coil of inductance of \( 200 \mathrm{mH} \) is increasing at
a rate of \( 0.5 \mathrm{A} s^{-1} \). The energy stored in
the inductor per second is then
A. 0.5 J \( s^{-1} \)
B. 5.0 Js \( ^{-1} \)
c. \( 0.1 \mathrm{Js}^{-1} \)
D. 2.0 Js \( ^{-1} \)
Subject: Maths
If \( \boldsymbol{4} \boldsymbol{P}(\boldsymbol{A})=\boldsymbol{6} \boldsymbol{P}(\boldsymbol{B})=\mathbf{1 0 P}(\boldsymbol{A} \cap \boldsymbol{B})=\mathbf{1} \)
\( \operatorname{then} P\left(\frac{B}{A}\right)= \)
\( A \cdot \frac{2}{5} \)
B. \( \frac{3}{5} \)
\( c \cdot \frac{7}{10} \)
D. \( \frac{19}{60} \)
Subject: Chemistry
Identify \( A \) and \( B \) in the following reaction \( \boldsymbol{C H}_{3}-\boldsymbol{C H}_{3} \longleftarrow \boldsymbol{B} \)
\( \boldsymbol{C H}_{3} \boldsymbol{C O O H} \stackrel{\boldsymbol{A}}{\longrightarrow} \boldsymbol{C H}_{3} \boldsymbol{C H}_{2} \boldsymbol{O H} \)
A. \( H I+r e d P, L i A l H_{4} \)
B. \( N V / \Delta, \) LiAIH \( _{4} \)
c. \( \operatorname{LiAlH}_{4}, H I+r e d P \)
D. \( P d-B a S O_{4}, Z n+H C l \)
Subject: Physics
Two thin, long, parallel wires, separated by a distance 'd' carry a current of 'i' A in
the same direction. They will
A \( . \) repel each other with a force of \( \mu_{0} i^{2} /(2 \pi d) \)
B. attract each other with a force of \( \mu_{0} i^{2} /(2 \pi d) \)
C . repel each other with a force of \( \mu_{0} i^{2} /\left(2 \pi r d^{2}\right) \)
D. attract each other with a force of \( \mu_{0} i^{2} /\left(2 \pi d^{2}\right) \)
Subject: Chemistry
Which of the following cannot be used to prepare an emulsion of benzene in
water?
A \( \cdot C H_{3}-\left(C H_{2}\right)_{9}-\left(S O_{3}\right)^{-} N a^{+} \)
в. \( C H_{3}-\left(C H_{2}\right)_{9}-C O O^{-} N a^{+} \)
C \( . C H_{3}-\left(C H_{2}\right)_{9}-N H_{3}^{+} C l^{-} \)
D \cdot \( \left(C H_{3}\right)_{4} \stackrel{+}{N B r} \)
Subject: Physics
If a sine wave of amplitude \( 5 \mathrm{cm} \) wavelength \( 3 \mathrm{cm} \) and frequency \( 10 \mathrm{Hz} \) moves in space, what is its speed
\( A \cdot 3 m / s \)
B. \( 0.3 \mathrm{m} / \mathrm{s} \)
\( c \cdot 0.6 m / s \)
D. \( 0.03 \mathrm{m} / \mathrm{s} \)
Subject: Chemistry
For preparing a buffer solution of \( \boldsymbol{p} \boldsymbol{H}= \)
7.0, which buffer system you will choose:
A \( \cdot H_{3} P O_{4}, H_{2} P O_{4}^{-} \)
B . \( H_{2} P O_{4}^{-}, H P O_{4}^{2} \)
\( \mathbf{c} \cdot H P O_{4}^{2-}, P O_{4}^{3} \)
D. \( H_{3} P O_{4}, P O_{4}^{3-} \)
Subject: Physics
Two identical carts constrained to move
on a straight line, on which sit two twins of same mass, are moving with equal
velocity. At some time snow begins to
drop uniformly. Ram, sitting on one of
the carts, picks the snow from cart and
throws off the falling snow sideways and in the second cart Shyam is asleep:
A. cart carrying Ram will have more speed finally than that carrying Shyam.
B. cart carrying Ram will have less speed finally than that carrying Shyam.
C. cart carrying Ram will have same speed finally than that carrying Shyam.
D. The velocity of cart depends on the amount of snow thrown
Subject: Maths
If \( \arg (z)<0, \) then \( \arg (-z)- \)
\( \boldsymbol{a r} \boldsymbol{g}(\boldsymbol{z})= \)
A . \( \pi \)
в. \( -\pi \)
\( c \cdot \frac{\pi}{2} \)
D. \( -\frac{\pi}{2} \)
Subject: Chemistry
\( f\left(m_{1}, m_{2} \) are masses of an ideal gas, \right.
then which of the graph represents
\( \boldsymbol{m}_{2}>\boldsymbol{m}_{1} ? \)
İ
\( (1 v) \)
A . I, Il only
в. ।, III only
c. ।, Iv only
D . ।, и, II, Iv
Subject: Physics
A room is \( 3 \mathrm{m} \) high and \( 5 \mathrm{m} \) long. A man is standing in front of one of the walls 1 \( \mathrm{m} \) from the wall. A mirror is to be
installed on the wall. Find the height (minimum) of the mirror so that complete image of the wall behind him
is seen.
A . \( 1.5 \mathrm{m} \)
B. \( 1 \mathrm{m} \)
\( c \cdot 2 m \)
D. \( 0.5 \mathrm{m} \)
Subject: Maths
The area included between the curve
\( x^{2}+y^{2}=a^{2} \) and \( \sqrt{|x|}+\sqrt{|y|}= \)
\( \sqrt{\boldsymbol{a}}(\boldsymbol{a}>\mathbf{0}) \) is:
A \( \cdot\left(\pi+\frac{2}{3}\right) a^{2} \)
B \( \cdot\left(\pi-\frac{2}{3}\right) a^{2} \)
\( c \cdot \frac{2}{3} a^{2} \)
D. \( \frac{2 \pi}{3} a^{2} \)
Subject: Maths
The range of the function \( f(x)= \)
\( \sin ^{-1}\left(\log _{2}\left(-x^{2}+2 x+3\right)\right) \) is
A. \( \left[-\frac{\pi}{2}, \frac{\pi}{2}\right] \)
B. \( \left[-\frac{\pi}{2}, 0\right] \)
c. \( \left[0, \frac{\pi}{2}\right] \)
D. [-1,1]
Subject: Chemistry
Rank the following solvents in decreasing order of ability to dissolve given compound.
\begin{tabular}{|l|}
\hline Solvent \\
\hline \( \mathrm{Et}_{2} \mathrm{O} \) \\
\( \mathrm{H}_{2} \mathrm{O} \) \\
\( \mathrm{EtOH} \) \\
\hline
\end{tabular}\( \rightarrow \underbrace{\bigcirc}_{\text {Solute }} \)
A. \( E t_{2} O>H_{2} O>E t O H \)
в. \( H_{2} O>E t O H>E t_{2} O \)
c. \( H_{2} O>E t_{2} O>E t O H \)
D. \( E t_{2} O>E t O H>H_{2} O \)
Subject: Chemistry
The complex ion which has no \( ^{\prime} d^{\prime} \)
electrons in the central metal atom is:
\( \mathbf{A} \cdot\left[M n O_{4}\right]^{-} \)
B \( \cdot\left[\operatorname{Co}\left(N H_{3}\right)_{6}\right]^{3+} \)
c. \( \left[F e(C N)_{6}\right]^{3-} \)
D・ \( \left[C r\left(H_{2} O\right)_{6}\right]_{6}^{3+} \)
Subject: Physics
In an ac circuit the instantaneous
values of current and applied voltage
are respectively \( i= \)
\( 2(A m p) \sin \left(250 \pi s^{-1}\right) t \) and \( \epsilon= \)
\( (10 V) \sin \left[\left(250 \pi s^{-1}\right) t+\frac{\pi}{3}\right] . \) Find the
power drawn from the source at \( t= \)
\( \frac{2}{3} m s \)
Subject: Maths
Discuss the continuity of the following function at the indicated point(s):
\( \boldsymbol{f}(\boldsymbol{x})\left\{\begin{array}{l}|\boldsymbol{x}| \cos \left(\frac{1}{\boldsymbol{x}}\right), \boldsymbol{x} \neq \mathbf{0} \\ \mathbf{0}, \quad \boldsymbol{x}=\mathbf{0}\end{array} \quad, \text { at } \boldsymbol{x}=\mathbf{0}\right. \)
Subject: Physics
Assertion
It is hotter over the top of a fire than at the same distance of the sides.
Reason
Air surrounding the fire conducts more heat upwards.
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
\( A D, B E \) and \( C F \) are the altitudes of a
triangle \( A B C \) whose vertex \( A \) is the
point \( (-4,5) . \) The coordinates of the points \( D, E, F \) are respectively \( \left(\frac{16}{5},-\frac{23}{5}\right),(4,1) \) and \( (-1,-4) . \) Find
the equation of the sides of the triangle and the coorindates of the other two
vertices of the triangle.
Subject: Physics
In above shown graph of position versus
time, two trains, \( X \) and \( Y \) are moving on
parallel track from the same starting
position from the rest. At time \( T \)
A. Train \( X \) is moving faster than train \( Y \)
B. Train Y is moving faster than train \( x \)
C. Trains \( \mathrm{X} \) and \( \mathrm{Y} \) are moving at the same speed
D. Train \( X \) is ahead of train \( Y \)
E. Train Y is ahead of train \( x \)
Subject: Physics
The dimensional formula of \( \frac{1}{2} \mu_{0} H^{2}\left(\mu_{0}\right. \) Permeability of free space and \( \mathrm{H} \) magnetic field intensity) is:
A \( \cdot M L T^{-1} \)
B. \( M L^{2} T^{-2} \)
c. \( M L^{-1} T^{-2} \)
D. \( M L^{2} T^{-1} \)
Subject: Physics
A steady current \( I \) flows along an infinitely long hollow cylindrical conductor of radius \( \mathbf{R} . \) This cylinder is placed coaxially inside an infinite solenoid of radius \( 2 \mathrm{R} \). The solenoid has
n turns per unit length and carries a
steady current \( I . \) Consider a point \( \mathbf{P} \) at a
distance r from the common axis. The
correct statement \( (s) \) is (are):
This question has multiple correct options
A. in the region \( 0<\mathrm{r}<\mathrm{R} \), the magnetic field is non-zero
B. in the region \( R<r<2 R \), the magnetic field is along the common axis
c. in the region \( \mathrm{R}<\mathrm{r}<2 \mathrm{R} \), the magnetic field is tangential to the circle of radius r, centered on the axis
D. in the region \( r>2 R \), the magnetic field is non-zero
Subject: Chemistry
Consider following cases:
I. \( 2 \mathrm{M} C H_{3} \mathrm{COOH} \) solution in benzene at
\( 27^{0} \) where there is dimer formation to
the extent of \( 100 \% \)
Il. \( 0.5 \mathrm{M} \) KCl aq. solution at \( 27^{0}, \) which
ionises \( 100 \% \)
Which is lare true statements(s):
A. both are isotonic
B. I is hypertonic
c. I lis hypertonic
D. none is correct
Subject: Physics
A beam of electrons emitted from the
electron gun G is accelerated by an
electric field E. The area of cross section
of the beam remains constant. As the
beam moves away from G
This question has multiple correct options
A. the speed of the electrons increases
B. the current constituted by the beam increases
c. the number of electrons per unit volume in the beam increases
D. the number of electrons per unit volume in the beam decreases
Subject: Chemistry
Conductivity of \( 0.00241 \mathrm{M} \) acetic acid is \( \mathbf{7} . \mathbf{8} 9 \mathbf{6} \times \mathbf{1 0}^{-5} \mathbf{S} \mathbf{c m}^{-1} . \) Calculate its
molar conductivity. If \( \lambda_{m}^{o} \) for acetic acid is \( 390.5 S c m^{2} \) mol \( ^{-1} . \) what is its
degree of dissociation?
Subject: Physics
Modern vacuum pumps can evacuate a
vessel down to a pressure of \( 4.0 \times \) \( 10^{-15} \) atm. At room temperature
\( (300 K), \) taking \( R= \)
\( \mathbf{8 . 3 J K}^{-1} \quad \boldsymbol{m o l e}^{-1}, \mathbf{1} \quad \boldsymbol{a t m}= \)
\( \mathbf{1 0}^{5} \boldsymbol{P a} \quad \) and \( \boldsymbol{N}_{\text {Avagadro }}=\mathbf{6} \times \)
\( 10^{23} \) mole \( ^{-1} \), the mean distance
between the molecules of gas in an evacuated vessel will be of the order of :
\( \mathbf{A} \cdot 0.2 \mu m \)
B. \( 0.3 \mu \) m
\( c .0 .2 \mathrm{mm} \)
D. \( 0.2 n m \)
Subject: Physics
\( \mathbf{A} \mathbf{5 0} \boldsymbol{W}, \mathbf{1 0 0} \boldsymbol{V} \) lamp is to be connected
to an \( A C \) mains of \( 200 V, 50 H z . \) What capacitance is essential to be put in series with the lamp?
A . 9.2
B. 8
c. 10
D. 12
Subject: Physics
Which type of gate the following truth
table represents?
\( \begin{array}{lll}\text { Input } & \text { Input } & \text { Output } \\ A & B & Q \\ 0 & 0 & 1 \\ 0 & 1 & 1 \\ 1 & 0 & 1 \\ 1 & 1 & 0\end{array} \)
\( \mathbf{A} \cdot \) NOT
B. AND
\( c \cdot \) OR
D. NAND
Subject: Physics
The displacement equations of two simple harmonic oscillators are given by \( \boldsymbol{x}_{1}=\boldsymbol{A}_{1} \cos \boldsymbol{\omega} \boldsymbol{t} ; \boldsymbol{x}_{2}=\boldsymbol{A}_{2} \sin \left(\boldsymbol{\omega} \boldsymbol{t}+\frac{\pi}{6}\right) \)
The phase difference between them is:
\( A \cdot 30 \)
B. 60
\( c \cdot 90 \)
D. \( 120^{\circ} \)
Subject: Maths
Write the order of the differential
equation associated with the primitive \( \boldsymbol{y}=\boldsymbol{C}_{1}+\boldsymbol{C}_{2} \boldsymbol{e}^{\boldsymbol{x}}+\boldsymbol{C}_{3} \boldsymbol{e}^{-\boldsymbol{2} \boldsymbol{x}+\boldsymbol{C}_{4}}, \) where
\( C_{1}, C_{2}, C_{3}, C_{4} \) are arbitrary constants.
Subject: Chemistry
Identify \( B, X \) and \( R \) respectively in the following sequence of reactions:
\( C_{2} H_{5} M g B r \frac{C H_{3} C N}{\longrightarrow} A \frac{H_{3} O^{+}}{\longrightarrow} B \)
\( \boldsymbol{C H}_{3} \boldsymbol{C O C H}_{3} \frac{N a O \boldsymbol{H}}{\boldsymbol{I}_{2}} \boldsymbol{X} \stackrel{\boldsymbol{A} \boldsymbol{g}}{\longrightarrow} \boldsymbol{Y} \)
\( \boldsymbol{C}_{\boldsymbol{6}} \boldsymbol{H}_{\boldsymbol{5}} \boldsymbol{N} \boldsymbol{H}_{2} \frac{N a N \boldsymbol{O}_{2}}{\boldsymbol{H} C l} \boldsymbol{P} \stackrel{\boldsymbol{C u} \boldsymbol{C N}}{\longrightarrow} \boldsymbol{Q} \stackrel{\boldsymbol{+ 4 H}}{\longrightarrow} \)
\( \boldsymbol{R} \)
A \( \cdot C_{2} H_{5} C O O H, C H I_{3}, C_{6} H_{5} C H_{2} N H_{2} \)
в. \( C_{2} H_{5} C O O H, C H_{3} I, C_{6} H_{5} \) СООН
c. \( C_{2} H_{5} C H_{2} N H_{2}, C H_{3} I, C_{6} H_{5} C O O H \)
D. \( C_{2} H_{5} C O O H, C_{2} H_{5} I, C_{6} H_{5} C O N H_{2} \)
Subject: Maths
if \( \boldsymbol{f}: \boldsymbol{R} \rightarrow \boldsymbol{R} \) is given by \( \boldsymbol{f}(\boldsymbol{x})=\frac{\boldsymbol{4}^{\boldsymbol{x}}}{\boldsymbol{4}^{\boldsymbol{x}}+\mathbf{2}} \)
for all \( x \epsilon R \) then \( f\left(\frac{1}{1997}\right)+ \) \( \boldsymbol{f}\left(\frac{\mathbf{2}}{\mathbf{1 9 9 7}}\right)+---+\boldsymbol{f}\left(\frac{\mathbf{1 9 9 6}}{\mathbf{1 9 9 7}}\right)= \)
\( \mathbf{A} \cdot 997.5 \)
в. 998
c . 998.5
D. 999
Subject: Chemistry
Which of the following will shift the equilibrium in the forward direction for the following equilibrium?
\( N_{2}(g)+O_{2}(g) \rightleftharpoons 2 N O(g) ; \Delta H^{0}= \)
\( +181 k J \)
A. Increase of pressure
B. Increase in the concentration of \( N O \)
c. Decrease in pressure
D. Increase in temperature
Subject: Physics
The area of the piston in hydraulic
machine are \( 10 \mathrm{cm}^{2} \) and \( 225 \mathrm{cm}^{2} \). The
force required on the smaller piston to support a load of \( 1000 N \) on the larger piston.
A \( .44 .44 \mathrm{N} \)
B. 55.55
c. 33.33 N
D. 4.44 N
Subject: Chemistry
Which of the following would be expected to be most highly ionised in water?
A \( \cdot \mathrm{CH}_{3} \mathrm{CH}_{2} \mathrm{CH}_{2} \mathrm{COO} \)
в. \( \mathrm{CH}_{3} \mathrm{CH} \mathrm{ClCH}_{2} \mathrm{COOH} \)
\( \mathbf{c} \cdot \mathrm{CH}_{3} \mathrm{CH}_{2} \mathrm{CCl}_{2} \mathrm{COOH} \)
D. \( \mathrm{CH}_{3} \mathrm{CH}_{2} \mathrm{CH} \mathrm{ClCOOH} \)
Subject: Chemistry
Which of the following pairs has almost
same colour?
\( \mathbf{A} \cdot_{60} N d^{3+} \cdot_{69} T m^{3+} \)
\( \mathbf{B} \cdot_{70} Y b^{3+},_{59} P r^{3+} \)
\( \mathbf{C} \cdot_{63} E u^{2+},_{65} T b^{3+} \)
\( \mathbf{D} \cdot_{64} G d^{3+},_{67} H o^{3+} \)
Subject: Chemistry
The following are some statements about electrolysis:
I) Involves flow of electrons from anode to
cathode
II) Involves no chemical reaction at
electrodes
III) Oxidation occurs at anode and
reduction at cathode
IV) Anions migrate towards cathode
A. Only I and III are correct
B. Only I and II are correct
c. onlyı, I land III are correct
D. All are correct
Subject: Physics
A metal cylinder of length \( L \) is
subjected to a uniform compressive
force \( F \) as shown in the figure. The
material of the cylinder has Young's modulus \( Y \) and Poisson's ratio \( \sigma \). The
change in volume of the cylinder is:
\( ^{\mathrm{A}} \cdot \frac{\sigma F L}{Y} \)
B. \( \frac{(1-\sigma) F L}{Y} \)
\( c \)
\( D \)
Subject: Chemistry
Acetone \( \left(C H_{3} C O C H_{3}\right) \) is the major product in:
\( \boldsymbol{I} . \boldsymbol{C H}_{2}=\boldsymbol{C}=\boldsymbol{C H}_{2} \stackrel{\boldsymbol{H}_{3} \boldsymbol{O}^{+}}{\longrightarrow} \)
\( \boldsymbol{I I} \cdot \boldsymbol{C H}_{3} \boldsymbol{C} \equiv \boldsymbol{C H} \frac{\boldsymbol{H}_{2} \boldsymbol{S O}_{4} / \boldsymbol{H} \boldsymbol{g} \boldsymbol{S O}_{4} / \boldsymbol{H}_{2} \boldsymbol{O}}{\longrightarrow} \)
IIII. \( C H_{3} C \equiv C H \frac{B H_{3} . T H F}{H_{2} O_{2} / O H^{-}} \)
This question has multiple correct options
A . \( I \)
в. \( I I \)
c. \( I I I \)
D. none of the above
Subject: Chemistry
The heat of combustion of \( C_{(g\text { raphite) } } \) is \( -393.5 k J \) mol \( ^{-1} . \) The heat of formation
of \( C O_{2} \) from graphite is \( k J m o l^{-1} \)
A. 393.5
B. -393.5
c. -787.0
D. 787.0
Subject: Maths
If \( (x+3,4-y)=(1,7), \) then \( (x- \)
\( \mathbf{3}, \mathbf{4}+\boldsymbol{y}) \) is equal to
A \( \cdot(-2,-3) \)
в. (-5,1)
c. (3,4)
(年. \( (3,4)) \)
D. None of these
Subject: Maths
The expression
\( (\sqrt{2 x^{2}+1}+\sqrt{2 x^{2}-1})^{6}+ \)
\( \left(\frac{2}{\sqrt{2 x^{2}+1}+\sqrt{2 x^{2}-1}}\right)^{6} \) is a
polynomial of degree
\( A \cdot 6 \)
B. 8
c. 10
D. 12
Subject: Chemistry
The entropy \( \left(S^{o}\right) \) of the following
substances are:
\( \boldsymbol{C H}_{4}(\boldsymbol{g})=\mathbf{1 8 6 . 2} \boldsymbol{J} \boldsymbol{K}^{-1} \boldsymbol{m o l}^{-1} \)
\( \boldsymbol{O}_{2}(\boldsymbol{g})=\mathbf{2 0 5 . 0} \boldsymbol{J} \boldsymbol{K}^{-1} \boldsymbol{m o l}^{-1} \)
\( \boldsymbol{C O}_{2}(\boldsymbol{g})=\boldsymbol{2 1 3 . 6} \boldsymbol{J} \boldsymbol{K}^{-1} \boldsymbol{m o l}^{-1} \)
\( \boldsymbol{H}_{2} \boldsymbol{O}(\boldsymbol{l})=\boldsymbol{6} \boldsymbol{9} . \boldsymbol{9} \boldsymbol{J} \boldsymbol{K}^{-1} \boldsymbol{m} \boldsymbol{o} \boldsymbol{l}^{-1} \)
The entropy change \( \left(\Delta S^{o}\right) \) for the
reaction \( \boldsymbol{C} \boldsymbol{H}_{4}(\boldsymbol{g})+\mathbf{2} \boldsymbol{O}_{2}(\boldsymbol{g}) \rightarrow \)
\( \boldsymbol{C O}_{2}(\boldsymbol{g})+\mathbf{2} \boldsymbol{H}_{2} \boldsymbol{O}(\boldsymbol{l}) \) is:
\begin{tabular}{l} 
A. \( -312.5 \mathrm{JK}^{-1} \mathrm{mol}^{-1} \) \\
\hline
\end{tabular}
в. \( -242.8 \mathrm{JK}^{-1} \mathrm{mol}^{-1} \)
c. \( -108.1 \mathrm{JK}^{-1} \mathrm{mol}^{-1} \)
D. \( -37.6 J K^{-1} m o l^{-1} \)
Subject: Physics
Two bulbs, one of \( 200 \mathrm{W} \) and the other of
\( 100 \mathrm{W}, \) are connected in series with a
100V battery which has no internal
resistance. Then
A. the current passing through the 200 W bulb is more than that through the 100 w bulb
B. the power dissipation in the 200 W bulb is more than that in the 100 W bulb
c. the voltage drop across the 200 W bulbs is more than that across the \( 100 \mathrm{W} \) bulb
D. the power dissipation in the 100 W bulb is more than that in the \( 200 \mathrm{w} \) bulb
Subject: Chemistry
Bond energy of \( A B, A_{2} \) and \( B_{2} \) are in the
ratio 1: 1: 0.5 and the enthalpy of
formation of \( A B \) from \( A_{2} \) and \( B_{2} \) is
\( -100 \mathrm{kJ} \mathrm{mol}^{-1} . \) Then the bond enthalpy
of \( \boldsymbol{A}_{2} \) is:
\begin{tabular}{l} 
A. \( 400 \mathrm{kJ} \mathrm{mol}^{-1} \) \\
\hline
\end{tabular}
B. 200 kJ mol-
c. \( 100 \mathrm{kJ} \mathrm{mol}^{-1} \)
D. 300 kJ mol-
Subject: Physics
The temperature-time variation graphs,
as obtained by four students \( \boldsymbol{A}, \boldsymbol{B}, \boldsymbol{C} \)
and \( D \) are as shown. The graph, likely to
be correct is that of student
\( \mathbf{A} \cdot A \)
B. \( B \)
\( c \cdot C \)
\( \mathbf{D} \cdot D \)