AkshitPareek2004/jee-question-analyzer-data huggingface dataset:
Subject: Chemistry
In which of the following reactions,
\( H_{2} O_{2} \) acts as a reducing reagent?
A \( \cdot \) HOCl \( +H_{2} O_{2} \stackrel{H^{+}}{\rightarrow} H_{3} O^{+}+C l^{-}+O_{2} \)
B - \( M n^{2+}+H_{2} O_{2} \stackrel{\text { OH }}{\rightarrow} M n^{4+}+2 O H^{-} \)
\( \mathbf{c} \cdot 2 F e^{2+}+H_{2} O_{2} \stackrel{O H}{\rightarrow} 2 F e^{3+}+2 O H^{-} \)
D \( \cdot P b S(s)+4 H_{2} O_{2}(a q) \stackrel{H^{+}}{\rightarrow} P b S O_{4}(s)+4 H_{2} O(l) \)
Subject: Maths
A card is drawn at random from a well
shuffled pack of 52 cards. The probability that the cards drawn is
neither a red card nor a queen is
A \( \cdot \frac{6}{13} \)
в. \( \frac{5}{13} \)
c. \( \frac{4}{13} \)
D. \( \frac{2}{13} \)
Subject: Physics
A plot of velocity versus time is shown
in figure. A single force acts on the body
The correct statement is
A. In moving from \( c \) to \( D \), work done by the force on the body is positive
B. In moving from B to C, work done by the force on the body is positive
c. In moving from A to B, the body does negative work
D. In moving from o to
A, work is done by the body and negative
Subject: Chemistry
Arrange the following in the ilncreasing hydrated ion size: \( \boldsymbol{C} \boldsymbol{s}_{\boldsymbol{a q}}^{+}<\boldsymbol{R} \boldsymbol{b}_{\boldsymbol{a q}}^{+}< \)
\( \boldsymbol{K}_{a q}^{+}<\boldsymbol{N} \boldsymbol{a}_{a q}^{+} \)
If true enter 1 , else enter 0 .
\( A \)
Subject: Chemistry
Assuming each salt to be \( 90 \% \) dissociated which of the followings will have highest osmotic pressure?
A. Decimolar \( A l_{2}\left(S O_{4}\right)_{3} \)
B. Decimolar \( B a C l_{2} \)
c. Decimolar \( N a_{2} S O_{4} \)
D. A solution obtained by mixing equal volumes of \( (b) \) and (c) and filtering
Subject: Maths
A die is thrown 100 times and outcomes
are noted as given below:
\[
\text { Outcome: } \quad 1 \quad 2
\]
3 4
Frequency:
\( \begin{array}{llll}21 & 9 & 14 & 23\end{array} \)
If a die is thrown at random, find the probability of getting a/an. 4
Subject: Physics
A block mass ' \( m^{\prime} \) is released from rest
at point A. The compression in spring,
when the speed of block is maximum is:
A \( \cdot \frac{m g \sin \theta}{k} \)
B. \( \frac{2 m g \sin \theta}{k} \)
\( c \cdot \frac{m g \cos \theta}{k} \)
D. \( \frac{m g}{k} \)
Subject: Chemistry
\( X, Y \) and \( Z \) are three elements in the
third period.
X reacts with chlorine to give a liquid
product.
Y reacts with chlorine to give a solid
product that dissolves in water to give a
solution of \( \mathrm{pH} 7 \)
z reacts with chlorine to give a solid product that dissolves in water to give a
solution of \( \mathrm{pH} 6 \) Which elements are good conductors of electricity?
A. \( x \) and \( Y \)
B. Y and Z
c. Y only
D. Zonly
Subject: Physics
The radius of the blade of fan is \( 0.3 \mathrm{m} \). It
is making 1200 rev/min.The acceleration of a particle at the tip of the blade is:
A \( \cdot 3733 m / s^{2} \)
В. \( 2733 m / s^{2} \)
c. \( 4733 m / s^{2} \)
D. \( 5733 m / s^{2} \)
Subject: Chemistry
A freshly formed precipitate of \( S n O_{2} \) is
peptized by a small amount of NaOH. These colloidal particles may be represented as :
\( \mathbf{A} \cdot\left[S n O_{2}\right] S n O_{3}^{2-} ; 2 N a^{\oplus} \)
B . \( \left[S n O_{2}\right] S n^{4+} ; O^{2-} \)
c. \( \left[S n O_{2}\right] N a^{\oplus} ; O H^{\ominus} \)
D \( \cdot\left[\operatorname{Sn} O_{2}\right] S n^{4+} ; O H^{\oplus} \)
Subject: Physics
238
92 \( \mathrm{U} \) atom disintegrates to \( ^{214} 84 P \mathrm{o} \)
with a half life of \( 4.5 \times 10^{9+} \) years by
emitting six alpha particle and \( n \) electrons. Here n is
\( A \cdot 6 \)
B. 4
\( c \cdot 10 \)
D.
Subject: Chemistry
Filtrate \( A \) contains:
\( \mathbf{A} \cdot N H_{4} C l \)
\( \mathrm{B} \cdot \mathrm{Na}_{2} \mathrm{CO}_{3} \)
\( \mathbf{c} \cdot N a H C O_{3} \)
\( \mathbf{D} \cdot C a C O_{3} \)
Subject: Chemistry
The reactions that occur during the
preparation of \( \boldsymbol{C H} \boldsymbol{C l}_{3} \) from \( \boldsymbol{C}_{2} \boldsymbol{H}_{\mathbf{5}} \boldsymbol{O} \boldsymbol{H} \)
and bleaching powder is:
i) oxidation
ii) disproportionation
iii) hydrolysis
iv) chlorination
\( A \). i, iii, iv
B. iii, iv only
c. ii, i, iv
D. all are correct
Subject: Chemistry
Equivalent weight of \( S O_{2} \) is found to be 32 in a reaction taking place in acidic medium. This reaction is represented
as \( \boldsymbol{S O}_{2}+\mathbf{2 H}_{2} \boldsymbol{O} \rightarrow \boldsymbol{S} \boldsymbol{O}_{4}^{2-}+\boldsymbol{4} \boldsymbol{H}^{+}+ \)
\( \mathbf{2} e^{-} \)
State whether the given reaction take place in backward direction or forward
direction?
Subject: Maths
Two distinct chords drawn from the
point \( (p, q) \) on the circle \( x^{2}+y^{2}= \)
\( p x+q y \) are bisected at the \( x \) -axis.
Then
A \( \cdot|p|=|q| \)
B \( \cdot p^{2}=8 q^{2} \)
\( \mathbf{c} \cdot p^{2}<8 q^{2} \)
D \( \cdot p^{2}>8 q^{2} \)
Subject: Physics
Electric field at \( Y \) is \( E_{y} \) and electric field
\( \operatorname{at} \mathrm{Z} \) is \( E_{z} . \) Find the value of \( \frac{\boldsymbol{E}_{z}}{\longrightarrow} \)
\( \overline{\boldsymbol{E}_{\boldsymbol{y}}} \)
A \( \frac{\sqrt{3}}{4} \)
B. \( \frac{\sqrt{4}}{3} \)
\( c \cdot \frac{4}{3} \)
D. \( \frac{9}{16} \)
E \( \cdot \frac{16}{9} \)
Subject: Physics
Atomic weight of boron is 10.81 and it
has two isotopes \( _{5} B^{10} \) and \( _{5} B^{11} . \) Then
ratio of \( _{5} B^{10}:_{5} B^{11} \) in nature would be
A . 19: 81
B. 10: 11
c. 15: 16
D. 81: 19
Subject: Maths
The volume of a cubic is \( 1000 \mathrm{cm}^{3} \). Find
its total surface area- -
A. \( 400 \mathrm{cm}^{2} \)
B. \( 600 \mathrm{cm}^{2} \)
c. \( 200 \mathrm{cm}^{2} \)
D. None of these
Subject: Chemistry
When two moles of Hydrogen atoms join together to form a mole of hydrogen molecules in closed rigid vessel with
diathermic walls:
\( \boldsymbol{H}(\boldsymbol{g})+\boldsymbol{H}(\boldsymbol{g}) \longrightarrow \boldsymbol{H}_{2}(\boldsymbol{g}) \)
A \( . w<0 \)
B. \( \Delta U= \) negative
C \( \cdot q_{\text {system}}= \)positive
D. \( q_{\text {surrounding}}= \)negative
Subject: Chemistry
Select the correct I.U.P.A.C name for
\( \left[\boldsymbol{P} \boldsymbol{t}\left(\boldsymbol{C}_{5} \boldsymbol{H}_{5} \boldsymbol{N}\right)_{4}\right]\left[\boldsymbol{P} \boldsymbol{t} \boldsymbol{C l}_{4}\right] \)
A. Tetrapyridineplatinate
(II) tetrachloridoplatinate
B. Tetrapyridineplatinum
(II) tetrachloridoplatinum
C. Tetrapyridineplatinate
(II) tetrachloridoplatinum
D. Tetrapyridineplatinum
(II) tetrachloridoplatinate
Subject: Maths
\( A, B, C \) are the three angles of a
triangle \( . \) if \( \boldsymbol{A}-\boldsymbol{B}=\mathbf{1 5}^{\circ}, \boldsymbol{B}-\boldsymbol{C}=\mathbf{3 0}^{\circ} \)
find \( \angle \boldsymbol{A}, \angle \boldsymbol{B}, \angle \boldsymbol{C} \)
Subject: Chemistry
is the compound which can remove both oxygen and nitrogen from the air when they are passed over it at \( 1000^{0} \mathrm{C} \)
A \( \cdot \mathrm{CaC}_{2} \)
в. \( \mathrm{CaCl}_{2} \)
c. \( \mathrm{CaCN}_{2} \)
D. \( \mathrm{Ca}(\mathrm{CN})_{2} \)
Subject: Physics
When equal volumes of two liquids are mixed,the specific gravity of mixture is
\( \frac{7}{2} . \) When equal masses of the same two liquids are mixed, the specific gravity is \( \frac{12}{7} . \) The specific gravities of two liquids
are:
A. 1 and 6
B. 2 and 6
\( c \cdot 2 \) and 4
D. 3 and 6
Subject: Chemistry
Observe the given diagram and fill in
the blanks by choosing the correct
option.
\( \mathbf{A} \cdot \mathbf{x}-H_{2(g)} \) at 1 atm \( , y-10^{-2} M H^{+}, z^{-} \) Finely divided \( P t \)
B . \( x-H_{2(g)} \) at 1 bar, \( y-1.00 M H^{+}, z \) - Finely divided Pt
C. \( x-1.00 M H^{+}, y-H_{2(g)} \) at 1 bar, \( z \) - Finely divided \( N \) i
D. \( x-H_{2}(g) \) at 1 bar, \( y-1.00 M H^{+}, z \) - Pt granules
Subject: Maths
\( P \) and \( Q \) are the mid points of the sides
\( C A \) and \( C B \) respectively of a triangle
\( A B C, \) right angled at \( C . \) Then, find the
value of \( 4\left(A Q^{2}+B P^{2}\right) \)
\( A \cdot 5 A B^{2} \)
B . \( 3 A B^{2} \).
c. \( 2 A B^{2} \)
\( \mathrm{D} \cdot 4 A B^{2} \)
Subject: Chemistry
A vessel of volume 5 litre contains \( 1.4 g \) of nitrogen at a temperature \( 1800 K \)
The pressure of the gas if \( 30 \% \) of its molecules are dissociated into atoms
at this temperature is :
A. 4.05 atm
B. 2.025 atm
c. 3.84 atm
D. 1.92 atm
Subject: Chemistry
Assertion
Zeolites are good shape-selective
catalysts.
Reason
Zeolites have honeycomb like
structures.
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: Physics
The horizontal component of earth's magnetic field at a place is \( 3 \times 10^{-4} T \) and the dip is \( \tan ^{-1}\left(\frac{4}{3}\right) \cdot A \) metal rod of length \( 0.25 m \) is placed in \( N-S \)
direction and is moved at a constant
speed of \( 10 \mathrm{cm} s^{-1} \) towards the east
The emf induced in the rod will be
A \( .1 \mu V \)
B. \( 5 \mu V \)
c. \( 7 \mu V \)
D. \( 10 \mu V \)
Subject: Physics
In an uniform electric field \( \boldsymbol{E}=\mathbf{1 0} \boldsymbol{N} / \boldsymbol{C} \)
as shown in figure, find \( V_{B}-V_{C}: \)
\( \mathbf{A} \cdot 10 V \)
B. \( -10 V \)
\( \mathbf{c} \cdot 20 V \)
D \( .-20 V \)
Subject: Maths
The equation of the latus rectum of the hyperbola \( \frac{(x-4)^{2}}{16}-\frac{(y-3)^{2}}{20}=1 \)
are?
\( \mathbf{A} \cdot x=1 \pm 5 \)
B . \( x=4 \pm 6 \)
c. \( y=2 \pm 6 \)
D. \( y=3 \pm 5 \)
Subject: Maths
\( \frac{2 x^{3}+1}{(x-1)(x+1)(x+2)}= \)
A \( \cdot 2+\frac{1}{2(x-1)}+\frac{1}{2(x+1)}-\frac{5}{x+2} \)
B \( \cdot 2-\frac{1}{2(x-1)}-\frac{1}{2(x+1)}-\frac{15}{x+2} \)
c. \( 2+\frac{1}{2(x-1)}-\frac{1}{2(x+1)}+\frac{15}{x+2} \)
D. \( \frac{1}{2(x-1)}+\frac{1}{2(x+1)}-\frac{15}{x+2} \)
Subject: Chemistry
Which of the following choices will favor the melting of ice in a closed container
if all other parameters are kept constant?
A. Adding water with a temperature of \( 0^{\circ} \mathrm{C} \)
B. Lowering the temperature below \( 0^{\circ} \mathrm{C} \)
c. Lowering the pressure
D. Raising the pressure
E. Decreasing the amount of ice
Subject: Physics
The force required to just move a body
up the inclined plane is double the force
required to just prevent the body from sliding down the plane. The coefficient
of friction is \( \mu . \) If \( \theta \) is the angle of
inclination of the plane, then \( \tan \theta \) is
equal to
\( \mathbf{A} \cdot \mathbf{\mu} \)
в. \( 3 \mu \)
\( c \cdot 2 \mu \)
D. \( 0.5 \mu \)
Subject: Physics
You are provided with three similar, but slightly different, tuning forks, when \( A \) and B are both struck, a beat frequency
of \( f_{A B} \) is heard. When \( A \) and \( C \) are both
struck, beat frequency of \( \boldsymbol{f}_{A C} \) is heard. It
was noticed that \( \boldsymbol{f}_{A B}<\boldsymbol{f}_{A C} \). This
experiment is repeated after coating tuning fork A with a little wax. Now it is
observed that values of both \( f_{A B} \) and
\( \boldsymbol{f}_{A C} \) increase. Which tuning fork has the highest frequency?
\( A \cdot A \)
B. B
c.
D. The answer cannot be determined from the information given
Subject: Physics
If the values of inductance and
frequency in an AC circuit are 2 henry and \( \frac{10^{3}}{2 \pi} \) Hz respectively then the value of inductive reactance will be
A \( \cdot \frac{2 \times 10^{3}}{\pi} \Omega \)
B . \( 2 \times 10^{2} \Omega \)
\( c \cdot 10^{3} \Omega \)
D. \( 2 \times 10^{3} \Omega \)
Subject: Maths
The probability distribution of a random
variable \( X \) is given below
\( \boldsymbol{X}=\boldsymbol{x} \) \( \begin{array}{ll}-1.5 & -0.5\end{array} \) \( \mathbf{0 . 5} \)
\( P[X= \)
\( X] \)\( \quad 0.05 \) 0.25 0.15
The variance of \( \boldsymbol{X} \) is
A . 1.6
B. 0.24
c. 0.84
D. 0.75
Subject: Chemistry
Arrange the following orbitals in the order in which they are filled with
electrons.
\( 6 s, 5 d, 6 p, 7 s, 5 f \)
A. \( 6 s<5 d<6 p<7 s<5 f \)
B. \( 6 s<6 d<5 d<5 f<7 s \)
c. \( 6 d<5 f<6 s<6 p<7 s \)
D. \( 6 s<7 s<5 d<5 f<6 p \)
Subject: Maths
Maximize: \( \boldsymbol{z}=\mathbf{3} \boldsymbol{x}+\mathbf{5} \boldsymbol{y} \)
Subject to: \( \boldsymbol{x}+\boldsymbol{4} \boldsymbol{y} \leq \mathbf{2 4} \)
\( \mathbf{z} \boldsymbol{x}+\boldsymbol{y} \leq \mathbf{2 1} \)
\( \boldsymbol{x}+\boldsymbol{y} \leq \mathbf{9} \)
\( \boldsymbol{x} \geq \mathbf{0}, \boldsymbol{y} \geq \mathbf{0} \)
Subject: Biology
As shown in the image, a series of enzymes catalyze the reaction that changes Molecule A into Molecule C. Molecule \( C, \) functions as a corepressor for the operon controlling production of Enzyme A when it binds with Molecule
D. If no Molecule D is present, which of the following is the most likely result of the presence of large amounts of Molecule C?
A. Concentration of Enzyme A will decrease.
B. Concentration of Enzyme A will increase
c. concentration of Molecule A will increase
D. Concentration of Enzyme B will decrease
Subject: Chemistry
Select the correct reason for given statement 'Fluoride of \( A l \) is ionic while
chloride is covalent'.
A . IE of \( A l \) in \( A l F_{3}>A l C l_{3} \)
B. EA of fluorine > chloride
C . Lattice energy of \( A l F_{3}>A l C l_{3} \)
D. EA of fluorine < chlorine
Subject: Maths
If \( \tan x+2 \tan 2 x+3 \tan 3 x+ \)
\( 8 \cot 8 x=\sqrt{3} \) then the general solution
of \( \boldsymbol{x}= \)
A \( \cdot n \pi+\frac{\pi}{3}, \forall \in Z \)
В \( \cdot n \pi+\frac{\pi}{6}, \forall \in Z \)
c. \( _{n \pi+\frac{\pi}{4}, \forall \in Z} \)
D. \( n \pi, \forall \in Z \)
Subject: Chemistry
Statement I: Ice is denser than water in
the liquid phase.
Because
Statement II: In water, hydrogen bonds can form between the positively charged \( \mathrm{H} \) atom on one water molecule and the slightly negatively charged 0 atom on a nearby water molecule
\( \mathbf{A} \cdot \) false, true
B. true, false
c. false, false
D. true, true, correct explanation
E. true, true, not correct explanation
Subject: Maths
The cubes of the natural numbers are
\( \operatorname{grouped~as} 1^{3},\left(2^{3}, 3^{3}\right),\left(4^{3}, 5^{3}, 6^{3}\right) \dots \)
then sum of the numbers in the nth
group is
A \( \cdot \frac{n^{2}}{12}\left(n^{2}+1\right)\left(n^{2}+4\right) \)
B \( \frac{n^{3}}{8}\left(n^{2}+1\right)\left(n^{2}+3\right) \)
c. \( \frac{n^{3}}{8}\left(n^{2}+1\right)\left(n^{2}+4\right) \)
D \( \frac{n^{2}}{16}\left(n^{2}+1\right)\left(n^{2}+4\right) \)
Subject: Maths
Solve :
\( \int \frac{x+4}{x^{3}+3 x^{2}-10 x} d x \)
A \( \cdot \frac{2}{5} \ln |x|-\frac{3}{7} \ln |x-2|+\frac{1}{35} \ln |x+5|+c \)
B. \( -\frac{2}{5} \ln |x|+\frac{3}{7} \ln |x-2|-\frac{1}{35} \ln |x+5|+c \)
c. \( \frac{2}{5} \ln |x|+\frac{3}{7} \ln |x-2|+\frac{1}{35} \ln |x+5|+c \)
D. \( -\frac{2}{5} \ln |x|-\frac{3}{7} \ln |x-2|-\frac{1}{35} \ln |x+5|+c \)
Subject: Chemistry
Density of \( H_{2} O \) is \( 1 g m L^{-1} . \) If we have
\( 1 m L H_{2} O \) then:
This question has multiple correct options
A . It is 55.55 mol \( L^{-1} \)
B . It has \( 3.33 \times 10^{22} \mathrm{H}_{2} \mathrm{O} \) molecules
c. It has \( 3.33 \times 10^{22} \) H-atoms
D. It has \( 6.66 \times 10^{22} \) O-atoms
Subject: Maths
The range of the function \( \boldsymbol{f}(\boldsymbol{x})=-\mid \boldsymbol{x} \)
\( 2 \mid-3 \) is
A. \( y \geq 2 \)
в. \( y \leq-3 \)
c. \( y \geq-3 \)
D. \( y \leq-2 \)
E \( . y \geq-2 \)
Subject: Chemistry
\( B \) can be obtained from halide by van-
Arkel method. This involves reaction:
\( \mathbf{A} \cdot 2 B I_{3} \frac{\operatorname{Red} \text { hot } \mathrm{W} \text { or } \mathrm{Ta}_{\mathrm{a}}}{\text { filament }} 2 B+3 I_{2} \)
B. \( 2 B C l_{3}+3 H_{2} \frac{\text { Red hot w or Ta }}{\text { filanent }} 2 B+6 H C l \)
c. both (A) and (B)
D. none of the above
Subject: Physics
Assertion
Latent heat of fusion of ice is
\( \mathbf{3 3 6 0 0 0} \boldsymbol{J} \boldsymbol{k g}^{-\mathbf{1}} \)
Reason
Latent heat refers to heat required to
change of state without any change in temperature.
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: Physics
Assertion
When variable frequency a.c. source is connected to a capacitor, displacement current increases with increase in
frequency
Reason
As frequency increases conduction current also increases.
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 \( \int \frac{1}{(x+2)\left(x^{2}+1\right)} d x= \)
\( a \log \left|1+x^{2}\right|+b \tan ^{-1} x+ \)
\( \frac{1}{5} \log |x+2|+C \)
A. \( a=-\frac{1}{10} b=-\frac{2}{5} \)
B. \( a=\frac{1}{10} b=-\frac{2}{5} \)
c. \( a=-\frac{1}{10} b=\frac{2}{5} \)
D. \( a=\frac{1}{10} b=\frac{2}{5} \)
Subject: Physics
A glass rod when rubbed with silk cloth, acquires a charge of \( 1.6 \times 10^{-11} C \), then
the charge on silk cloth will be:
A. \( -3.2 \times 10^{-11} C \)
B . \( -2.4 \times 10^{-13} C \)
c. \( -1.6 \times 10^{-13} C \)
D. \( -1.6 \times 10^{-11} C \)
Subject: Physics
Two bodies of mass \( 1 \mathrm{kg} \) and \( 3 \mathrm{kg} \) have position vectors \( \hat{\mathbf{i}}+\hat{\mathbf{2}} \boldsymbol{j}+\hat{\boldsymbol{k}} \) and \( -\hat{\mathbf{3}} \boldsymbol{i}- \)
\( \hat{\mathbf{2}} \boldsymbol{j}+\hat{\boldsymbol{k}}, \) respectively. The center of mass of this system has a position vector:
\( \mathbf{A} \cdot-\hat{i}+\hat{j}+\hat{k} \)
\( \mathbf{B} \cdot-\hat{2} i+\hat{2 k} \)
c. \( -\hat{2} i-\hat{j}+\hat{k} \)
D. \( 2 i-\hat{j}-\hat{2} k \)
Subject: Chemistry
If same quantity of electricity is passed
through three electrolytic cells
containing \( \boldsymbol{F} \boldsymbol{e} \boldsymbol{S} \boldsymbol{O}_{4}, \boldsymbol{F} \boldsymbol{e}_{2}\left(\boldsymbol{S} \boldsymbol{O}_{4}\right)_{3}, \) and
\( \boldsymbol{F} \boldsymbol{e}\left(\boldsymbol{N} \boldsymbol{O}_{3}\right)_{3}, \) then:
This question has multiple correct options
A. the amount of iron deposited in \( F e S O_{4} \) and \( F e_{2}\left(S O_{4}\right)_{3} \) are equal
B. the amount of iron deposited in \( F e S O_{4} \) is 1.5 times of the amount of iron deposited in \( F e\left(N O_{3}\right)_{3} \)
C. the amount of iron deposited in \( F e\left(S O_{4}\right)_{3} \) and
\( F e\left(N O_{3}\right)_{3} \) are equal
D. the same amount of gas is evolved in all three cases of the anode.
Subject: Maths
Given a function \( \boldsymbol{f}(\boldsymbol{x})=\frac{1}{2} \boldsymbol{x}-\boldsymbol{4} \) and the
composite function \( \boldsymbol{f}(\boldsymbol{g}(\boldsymbol{x}))=\boldsymbol{g}(\boldsymbol{f}(\boldsymbol{x})) \)
determine which among the following
\( \operatorname{can} \operatorname{be} g(x): \)
\( 2 x-\frac{1}{4} \)
11. \( 2 x+8 \)
III. \( \frac{1}{2} x-4 \)
A. I only
B. II only
c. III only
D. II and III only
E . ।, II, and III
Subject: Physics
A generator with a circular coil of 100
turns of area \( 2 \times 10^{-2} m^{2} \) is immersed
in a \( 0.01 T \) magnetic field and rotated at a frequency of \( 50 H z . \) The maximum emf which is produced during a cycle is
\( \mathbf{A} \cdot 6.28 V \)
B . \( 3.44 V \)
\( c \cdot 10 V \)
D. \( 1.32 V \)
Subject: Chemistry
The enthalpy changes for two reactions are given by the equations:
\( 2 C r(s)+1 \frac{1}{2} O_{2}(g) \longrightarrow \)
\( \boldsymbol{C r}_{2} \boldsymbol{O}_{3}(\boldsymbol{s}) ; \boldsymbol{\Delta} \boldsymbol{H}=-\mathbf{1 1 3 0} \boldsymbol{k} \boldsymbol{J} \)
\( C(s)+\frac{1}{2} O_{2}(g) \longrightarrow C O(g) ; \Delta H= \)
\( -110 k J \)
What is the enthalpy change, in \( k J, \) for
the reaction?
\( \mathbf{3} C(s)+C r_{2} O_{3}(s) \longrightarrow 2 C r(s)+ \)
\( \mathbf{3} \boldsymbol{C O}(\boldsymbol{g}) \)
A. \( -1460 k J \)
в. \( -800 k J \)
\( c .+800 k J \)
D. \( +1020 k J \)
\( \mathrm{E} \cdot+1460 k J \)
Subject: Chemistry
From the following data estimate the order for decomposition of an aqueous solution of hydrogen peroxide:
Time \( \quad \) o \( \quad \mathbf{1 0} \quad \mathbf{2 0} \)
(minutes)
\[
V(m l)
\]
\( \begin{array}{lll}46.1 & 29.8 & 19.6\end{array} \)
where \( V \) is the volume of potassium
permanganate solution in \( m L \) required to decompose a definite volume of the
peroxide solution.
A .
B. 1
\( c \cdot 2 \)
D. \( 1 / 2 \)
Subject: Maths
Find solution for \( D E \Rightarrow\left(\frac{d y}{d x}\right)^{2} \) \( \boldsymbol{y} \frac{\boldsymbol{d} \boldsymbol{y}}{\boldsymbol{d} \boldsymbol{x}}+\boldsymbol{x}=\mathbf{0} \)
Subject: Maths
If \( \frac{(x+1)^{2}}{x^{3}+x}=\frac{A}{x}+\frac{B x+C}{x^{2}+1}, \) then
\( \csc ^{-1}\left(\frac{1}{A}\right)+\cot ^{-1}\left(\frac{1}{B}\right)+\sec ^{-1} C= \)
A \( \cdot \frac{5 \pi}{6} \)
B.
c.
D. \( \frac{\pi}{2} \)
Subject: Maths
Two points with coordinates (2,3) and
(2,1) lie on a line. Then
(i) the line is
parallel to which axis?
\( (i i) \) Justify your
answer.
A \( .(i) \) Parallel to \( X \) -axis.
(ii) since \( x \) -coordinate of both the points is \( 2, \) both points lie on the line \( y=2 \) which is parallel to \( Y \) -axis
B. ( \( i \) ) Parallel to \( Y \) -axis.
(ii) since \( y \) -coordinate of both the points is \( 2, \) both points lie on the line \( y=2 \) which is parallel to \( Y \) -axis
c. (i) Parallel to Y-axis.
(ii) since \( x \) -coordinate of both the points is \( 2, \) both points lie on the line \( x=2 \) which is parallel to \( Y \) -axis
D. ( \( i \) ) Parallel to \( X \) -axis.
(ii) since \( y \) -coordinate of both the points is 2 , both points lie on the line \( x=2 \) which is parallel to \( Y \) -axis
Subject: Chemistry
Which of the following expressions regarding entropy is not correct?
A \( \cdot \Delta S_{\text {system}}=\frac{q}{T} \)
B. \( \Delta S_{\text {system}}=\Delta S_{\text {total}}+\Delta S_{\text {surroundings}} \)
C \( . \Delta S=S_{\text {final}}-S_{\text {initial}} \)
D. \( \Delta S_{\text {total}}=\Delta S_{\text {system}}+\Delta S_{\text {surrounding}} \)
Subject: Physics
\( \operatorname{Let} \vec{A}=\hat{i} A \cos \theta+\hat{j} A \sin \theta, \) be any
vector. Another vector \( \vec{B} \) which is normal to \( \vec{A} \) is :
A \( . \hat{i} B \cos \theta+\hat{j} B \sin \theta \)
B. i \( B \) sin \( \theta+\hat{j} B \cos \theta \)
c. \( \hat{i} B \sin \theta-\hat{j} B \cos \theta \)
D. \( \hat{i} B \cos \theta-\hat{j} B \sin \theta \)
Subject: Chemistry
The temperature coefficient of the e.m.f. of cell, \( \left(\frac{d E}{d T}\right)_{p} \) is given by:
A \( \cdot \frac{n F}{\Delta S} \)
в. \( \frac{\Delta S}{n F} \)
c. \( \frac{\Delta S}{n F T} \)
D. \( -n F E \)
Subject: Chemistry
The equivalent weight of \( N a H_{2} P O_{4} \) in
the following reaction is:
\( N a O H+H_{3} P O_{4} \rightarrow N a H_{2} P O_{4}+ \)
\( \boldsymbol{H}_{2} \boldsymbol{O} \)
A . 96
B. 100
\( c \cdot 120 \)
D. 98
Subject: Chemistry
The triad of the nuclei that is isotonic
is:
\( \mathbf{A} \cdot_{6} N^{14}, 7 N^{14},_{9} F^{19} \)
B \cdot \( _{6} C^{14}, 7 N^{15},_{9} F^{17} \)
\( \mathbf{c} \cdot_{6} C^{14}_{7} N^{14},_{9} F^{17} \)
\( \mathrm{D} \cdot_{6} C^{12},_{7} N^{14},_{9} F^{19} \)
Subject: Chemistry
For the reaction, \( \boldsymbol{C O}_{(\boldsymbol{g})}+\boldsymbol{C l}_{2(\boldsymbol{g})} \leftrightharpoons \)
\( C O C l_{2(g)}, \) the value of \( K_{p} / K_{c} \) is equal
to:
A . 1.0
в. \( R T \)
c. \( \sqrt{R T} \)
D. \( \frac{1}{R T} \)
Subject: Physics
A convex lens forms a real image \( 4 \mathrm{cm} \)
long on a screen.When the lens is
shifted to a new position without disturbing the object or the screen, again real image is formed on the screen which is \( 16 \mathrm{cm} \) long. The length of the object is :
A. \( 8 \mathrm{cm} \)
B. 10 \( \mathrm{cm} \)
c. \( 12 \mathrm{cm} \)
D. \( 6 \mathrm{cm} \)