AkshitPareek2004/jee-question-analyzer-data huggingface dataset:
Subject: Maths
A trader purchases \( 70 \mathrm{kg} \) of tea at Rs. 15 per kg and \( 30 \mathrm{kg} \) of tea at Rs. 18.50
per kg. If the packing charges are 2 percent, then at what price he must sell the mixture of two to gain \( 15 \% ? \)
A. Rs. 18.80 per kg
B. Rs. 18 per kg
c. Rs. 18.50 per \( \mathrm{kg} \)
D. Rs. 17.80 per kg
Subject: Maths
Let \( f(x) \) be a function such that \( \lim _{x \rightarrow 0} \frac{f(x)}{x}=1 . \) If
\[
\lim _{x \rightarrow 0} \frac{x(1+a \cos x)-b \sin x}{\{f(x)\}^{3}}=1
\]
then \( |a+b|= \)
Subject: Maths
Draw a right triangle which the sides (other than hypotenuse) are of lengths
\( 4 \mathrm{cm} \) and \( 3 \mathrm{cm} . \) Then construct another
\( \mathbf{5} \)
triangle whose sides are \( \frac{-\operatorname{times}}{3} \) the corresponding sides of the given triangle.
Subject: Biology
Assertion
Thick layers of muscles are present in the wall of alimentary canal.
Reason
These muscles help in the mixing of food materials with the enzymes
coming from different glands in the alimentary canal.
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
The function \( \boldsymbol{f}(\boldsymbol{x})= \)
\( \left\{\begin{array}{cc}x^{2} / a, & 0 \leq x<1 \\ a, & 1 \leq x<\sqrt{2} \\ \frac{2 b^{2}-4 b}{x^{2}}, & \sqrt{2} \leq x<\infty\end{array}\right. \)
continuous for \( 0 \leq x<\infty, \) then the
most suitable values of \( a \) and \( b \) are
B. \( a=-1, b=1+\sqrt{2} \)
c. \( a=-1, b=1 \)
D. None of these
Subject: Chemistry
The given conversion can be carried out
by which process?
\( (\mathrm{A}) \)
\( \mathbf{A} \cdot i . H B r+ \) peroxide \( i i . M e_{3} C^{\ominus}, \Delta i i i . O_{3} / H_{2} O \)
B. i.H Br in. \( C_{2} H_{5} O^{\ominus}, \Delta \) iii. \( O_{3} / H_{2} O \)
C \( . \) i.H I i i. \( M e O^{\ominus}, \Delta \) ii \( . O_{3} / Z n- \) acid
D. \( H C l+ \) peroxide
Subject: Chemistry
At \( 298 K, \) given that:
\[
\begin{array}{c}
\boldsymbol{C u}(\boldsymbol{s})\left|\boldsymbol{C} \boldsymbol{u}^{2+}(\mathbf{1} . \boldsymbol{0} \boldsymbol{M}) \| \boldsymbol{A} \boldsymbol{g}^{+}(\mathbf{1} . \boldsymbol{0} \boldsymbol{M})\right| \boldsymbol{A} \boldsymbol{g}(\boldsymbol{s}) \\
\boldsymbol{E}_{c e l l}^{o}=\mathbf{0 . 4 6} \boldsymbol{V} \\
\boldsymbol{Z} \boldsymbol{n}(\boldsymbol{s})\left|\boldsymbol{Z} \boldsymbol{n}^{2+}(\mathbf{1} \cdot \mathbf{0} \boldsymbol{M}) \| \boldsymbol{C} \boldsymbol{u}^{2+}(\mathbf{1} . \boldsymbol{0} \boldsymbol{M})\right| \boldsymbol{C} \boldsymbol{u} \\
\boldsymbol{E}_{\text {cell }}^{o}=\mathbf{1 . 1 0} \boldsymbol{V}
\end{array}
\]
Then, the \( E_{\text {cell}} \) for the following reaction
at \( 298 K \) will be:
\[
\boldsymbol{Z} \boldsymbol{n}(\boldsymbol{s})\left|\boldsymbol{Z} \boldsymbol{n}^{2+}(\boldsymbol{0} \cdot \boldsymbol{1} \boldsymbol{M}) \| \boldsymbol{A} \boldsymbol{g}^{+}(\mathbf{1} \cdot \boldsymbol{0} \boldsymbol{M})\right| \boldsymbol{A} \boldsymbol{g}(s
\]
A . \( 1.56 V \)
в. \( 1.53 V \)
\( \mathbf{c} .2 .53 V \)
D. cannot be calculated due to insufficient data
Subject: Physics
Assertion
During change of state, specific heat of a substance is zero.
Reason
Specific heat of a substance is directly proportional to change of heat and inversely proportional to 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. Assertion is incorrect but Reason is correct
Subject: Biology
Assertion
Replication and transcription occur in the nucleus but translation takes place
in the cytoplasm.
Reason
mRNA is transferred from the nucleus
into cytoplasm where ribsomes and amino acids are available for protein
synthesis.
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 de-Broglie wavelength of a neutron
\( \operatorname{at} 927^{0} \mathrm{C} \) is \( \lambda . \) Its wavelength at \( 27^{0} \mathrm{C} \) is:
\( A \cdot \frac{\lambda}{2} \)
B. \( \lambda \)
\( c \cdot 2 \lambda \)
D. \( 4 \lambda \)
Subject: Maths
If \( \boldsymbol{A}=\left[\begin{array}{ccc}\mathbf{1} & \mathbf{9} & \mathbf{- 7} \\ \boldsymbol{i} & \boldsymbol{\omega}^{\boldsymbol{n}} & \mathbf{8} \\ \mathbf{1} & \boldsymbol{6} & \boldsymbol{\omega}^{\mathbf{2 n}}\end{array}\right] \) where \( \boldsymbol{i}=\sqrt{-\mathbf{1}} \)
and \( \omega \) is complex cube root of unity, then \( \operatorname{tr}(A) \) will be
This question has multiple correct options
A. \( 1, \) if \( n=3 k, k \in N \)
B. \( 3, \) if \( n=3 k, k \in N \)
c. \( 0, \) if \( n \neq 3 k, k \epsilon \in N \)
D. \( -1, \) if \( n \neq 3 k, k \epsilon \in N \)
Subject: Chemistry
In the relation \( \Delta \boldsymbol{H}=\boldsymbol{\Delta} \boldsymbol{U}+\left(\boldsymbol{\Delta} \boldsymbol{n}_{\boldsymbol{g}}\right) \boldsymbol{R} \boldsymbol{T} \)
the units of \( \Delta n_{g} \) is mol.f true enter 1
else o
A.
Subject: Chemistry
Q Type your question
1vace, ivabr and 1 vat
(A) The concentration of \( A g^{+} \) required to initiate precipitation of each of \( A g I, A g B r \) and \( A g C l \) are \( 1.5 \times 10^{-13} \)
\( 3.3 \times 10^{-10} \) and \( 1.6 \times 10^{-7} \)
respectively.
(B) The percentage of \( I^{-} \) precipitated before \( A g B r \) precipitates is \( 99.95 \% \)
(C) The percentage of \( I^{-} \) precipitated
before \( C l^{-} \) precipitates is \( 99.999917 \% \)
Given that;
\( \left(\boldsymbol{K}_{s p}(\boldsymbol{A} \boldsymbol{g} \boldsymbol{I})=\mathbf{1 . 5} \times \mathbf{1 0}^{-\mathbf{1 6}}\right. \)
\( \boldsymbol{K}_{s p}(\boldsymbol{A} \boldsymbol{g} \boldsymbol{B r})=\boldsymbol{3} \boldsymbol{3} \times \mathbf{1 0}^{-13} \)
\( \left.\boldsymbol{K}_{s p}(\boldsymbol{A} \boldsymbol{g} \boldsymbol{C l})=\mathbf{1 . 8} \times \mathbf{1 0}^{-\mathbf{1 0}}\right) \)
Which of the above-given option(s) is/are correct?
A. Only A
B. A and B
c. B and c
D. A, B and C
Subject: Maths
If \( \boldsymbol{f}(\boldsymbol{x})=\boldsymbol{x}^{n}, \boldsymbol{n} \in \boldsymbol{N} \) and \( (\boldsymbol{g} \boldsymbol{o} \boldsymbol{f})(\boldsymbol{x})= \)
\( \boldsymbol{n} \boldsymbol{g}(\boldsymbol{x}) \operatorname{then} \boldsymbol{g}(\boldsymbol{x}) \) can be
A \( . n|x| \)
B. \( 3 . \sqrt[3]{x} \)
\( c \cdot e^{x} \)
\( \mathbf{D} \cdot \log |x| \)
Subject: Physics
Assertion
Bimetallic strip is used in fire alarms.
Reason

Wires on electric poles are mounted tightly, in winter
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
In increasing order of boiling point :
\( \boldsymbol{C}_{2} \boldsymbol{H}_{5} \boldsymbol{O H}, \quad\left(\boldsymbol{C H}_{3}\right)_{2} \boldsymbol{N} \boldsymbol{H}, \quad \boldsymbol{C}_{2} \boldsymbol{H}_{5} \boldsymbol{N} \boldsymbol{H} \)
Subject: Maths
If \( \boldsymbol{y}=\boldsymbol{e}^{\boldsymbol{x}}+\boldsymbol{e}^{-\boldsymbol{x}}+\log \boldsymbol{x}^{2}, \) find \( \frac{\boldsymbol{d} \boldsymbol{y}}{\boldsymbol{d} \boldsymbol{x}} \)
Subject: Physics
An electroscope has a charged rod brought near it, but not touching, and
the leaves open, Fig.I. Then a ground wire is attached to the electroscope and the leaves close, Fig. II. Finally, the ground wire and then the rod are
removed. It is determined that the
electroscope leaves have a net positive charge. Determine the charge of the rod and leaves in Fig. 1:
A. The rod has a net positive charge while the leaves have net negative charge
B. The rod has a net negative charge while the leaves have a net positive charge
c. Both have a negative charge
D. It is impossible to determine with the given information
Subject: Maths
The marks of some students were listed
out of \( 75 . \) The standard deviation of
marks was found to be \( 9 . \) Subsequently the marks were raised to a maximum of
100 and variance of new marks was
calculated. The new variance is :
A \( \cdot 144 \)
B. 122
\( c \cdot 81 \)
D. 3
Subject: Physics
In a semiconductor, \( 2 / 3 r d \) of the total
current is carried by electrons and
remaining \( 1 / 3 r d \) by the holes. If at this temperature, the drift velocity of
electrons is 3 times that of holes, the
ratio of number density of electrons to that of holes is
\( A \cdot \frac{3}{2} \)
B. \( \frac{2}{3} \)
c. \( \frac{5}{3} \)
D. \( \frac{3}{3} \)
\( E \cdot \frac{1}{3} \)
Subject: Chemistry
Which of the following complexes has lowest molar conductance?
A. \( \operatorname{CoCl}_{3} .3 \mathrm{NH}_{3} \)
в. \( \operatorname{CoCl}_{3} .4 \mathrm{NH}_{3} \)
c. \( \operatorname{CoCl}_{3} .5 \mathrm{NH}_{3} \)
D. \( \operatorname{CoCl}_{3} .6 \mathrm{NH}_{3} \)
Subject: Physics
In an experiment, it was observed that when the length of a wire in an electrical circuit is doubled. everything else remaining same, the current becomes half. On the other hand, if the thickness
(diameter) of the wire is doubled, the
current becomes 4 imes. Two wires \( W_{1} \)
and \( W_{2} \) of the same metal have the
same current passing through them
The thickness of wire \( W_{2} \) is twice that
of \( W_{1}, \) then the length wire \( W_{2} \) is
A. sixteen times that of \( S W_{1} \)
B. Four times that of wire \( W_{1} \)
C. Two times that of wire \( W_{1} \)
D. Same as that of wire \( W_{1} \)
Subject: Physics
A small object is \( 10 \mathrm{cm} \) in front of a plane mirror. A man stands 30 cm from the mirror behind the object and looks at the object's image. He should focus his eyes to see the image at a distance of from himself. (Fill in the blank)
\( A \cdot 25 \mathrm{cm} \)
B. 35 cm
c. \( 45 \mathrm{cm} \)
D. \( 40 \mathrm{cm} \)
Subject: Chemistry
The density of water is 1 g/ml. The number of molecules present in 1 litre of
water is:
A \( \cdot 18 \times 6.023 \times 10^{23} \)
В. \( 1.8 \times 6.023 \times 10^{23} \)
c. \( 6.023 \times 10^{23} \)
D . \( 55.55 \times 6.023 \times 10^{23} \)
Subject: Physics
Two discs have same mass and
thickness. Their materials are of
densities \( \pi_{1} \) and \( \pi_{2} . \) The ratio of their
moment of inertia about central axis will be
\( \mathbf{A} \cdot \pi_{1}: \pi_{2} \)
в. \( \pi_{1} \pi_{2}: \) ।
\( \mathbf{D} \cdot \pi_{2}: \pi_{1} \)
Subject: Physics
The brass scale of a barometer gives
correct reading at \( 0^{\circ} \mathrm{C} \). The barometer
reads \( 75 \mathrm{cm} \) at \( 27^{\circ} \mathrm{C} \). what is the correct
atmospheric pressure at \( 27^{\circ} \mathrm{C} \). The
coefficient of linear expansion \( \boldsymbol{\alpha} \) of
brass is \( 2.0 \times 10^{-5} \) degree/celcius
Subject: Chemistry
Identify the correct sequence of given steps for the conversion of calcium
carbide to methyl alcohol.
(a) Reaction with aqueous \( K O H \)
(b) Hydrolysis
(c) Reaction with soda lime
(d) Reaction with \( H a S O_{4} / H_{2} S O_{4} \)
(e) Reaction with \( \boldsymbol{H} \boldsymbol{g} \boldsymbol{S} \boldsymbol{O}_{4} \)
(f) Reaction with \( P C l_{5} \)
A. \( b d e c f a \)
B. \( b d c \) a \( f e \)
c. \( b \) f \( d \) e a \( c \)
D. \( d b c e f a \)
Subject: Biology
Pick the correct statements.
A. Synapsis of homologous chromosomes takes place during prophase I of meiosis.
B. Division of centromeres takes place
during anaphase I of meiosis.
C. Spindle fibres disappear completely in telophase of mitosis.
D. Nucleoli reappear at telophase I of meiosis.
A. A only
B. C only
C. \( A \) and \( B \) only
D. A, C and Donly
E. A and C only
Subject: Physics
Assertion
If two objects of different masses have the same momentum, then the lighter body possess greater velocity.
Reason
For all bodies, momentum always
remains the same.
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
\( O \) is the centre of the circle having
radius \( 5 \mathrm{cm} . O M \) is a \( \perp \) on chord \( A B \). If
\( O M=4 \mathrm{cm}, \) then the length of the
chord \( A B \) is equal to
\( A \cdot 5 \mathrm{cm} \)
B. \( 6 \mathrm{cm} \)
\( c \cdot 8 \mathrm{cm} \)
D. \( 10 \mathrm{cm} \)
Subject: Chemistry
Assertion: Physical adsorption of molecules on the surface requires
activation energy. Reason: The bonds of adsorbed
molecules are broken.
A. Both Assertion and Reason are correct and Reason is the correct explanation of Assertion
B. Both Assertion and Reason are correct but Reason is not the correct explanation of Assertion
c. Assertion is correct but reason is incorrect
D. Assertion is incorrect but reason is correct
E. Both Assertion and Reason are incorrect
Subject: Physics
\( \ln L i^{++}, \) electron in first Bohr orbit is
excited to a level by a radiation of wavelength \( \lambda \). when the ion gets
deexcited to the ground state in all possible ways (including intermediate emissions), a total of six spectral lines are observed. What is the value of \( \lambda \) ?
(Given \( : \boldsymbol{h}=\mathbf{6 . 6 3} \times \mathbf{1 0}^{\mathbf{3 4} \mathbf{J}} \mathbf{s} ; \quad \mathbf{l}, \mathbf{c}=\mathbf{3} \)
ltimes \( 10^{\wedge} 8 \mathrm{ms}^{\wedge}\{-13 \$ \$) \)
\( \mathbf{A} \cdot 9.4 n m \)
в. \( 12.3 n m \)
\( c .10 .8 n m \)
D. \( 11.4 n m \)
Subject: Maths
\( \int \frac{\boldsymbol{a}^{\boldsymbol{x}}}{\sqrt{\mathbf{1}-\boldsymbol{a}^{2 \boldsymbol{x}}}} \boldsymbol{d} \boldsymbol{x}= \)
A \( \cdot \frac{1}{\log a} \sin ^{-1}\left(a^{x}\right)+c \)
B. \( \frac{1}{\log a} \sinh \left(a^{x}\right)+c \)
c. \( \sin ^{-1}\left(a^{x}\right)+c \)
D. \( \log a \sin ^{-1}\left(a^{x}\right)+c \)
Subject: Chemistry
Which of the following conditions make the process non spontaneous at all temperatures.
A. \( \Delta \mathrm{H}=+\mathrm{ve} ; \Delta \mathrm{s}=-\mathrm{ve} \)
B. \( \Delta \) H \( =- \) -ve; \( \Delta S=+v e \)
c. \( \Delta \) H \( =+v e ; \Delta s=+v e \)
D. \( \Delta H=- \) -ve; \( \Delta S=-v e \)
Subject: Physics
A \( 2 m \) long wire of resistance 4 ohm and
diameter 0.64 mm is coated with
plastic insulation of thickness 0.06 mm. When a current of \( 5 A \) flows
through the wire, find the temperature
difference across the insulation in
steady state. If \( \boldsymbol{K}=\mathbf{0 . 1 6} \times \mathbf{1 0}^{-\mathbf{2}} \mathbf{c a l} / \mathbf{c m}^{\circ} \mathbf{C} \mathbf{s e c} \)
Subject: Chemistry
Consider the following reactions at 300 \( \mathrm{K}: \mathrm{X} \rightarrow \mathrm{Y} \) (uncatalysed reaction)
\( \& X \rightarrow \)
Y (catalysed reaction). The energy of activation is lowered by 83.14 kJmol \( ^{-1} \)
for the catalysed reaction. The rate of catalysed reaction is:
A \( \cdot 3 \times 10^{14} \) times that of uncatalysed reaction
B. \( 15 \times 10^{14} \) times that of uncatalysed reaction
c. 25 times that of uncatalysed reaction
D. 22 times that of uncatalysed reaction
Subject: Maths
The element in the second row and third
column of the matrix \( \left[\begin{array}{ccc}\mathbf{4} & \mathbf{5} & \mathbf{- 6} \\ \mathbf{3} & \mathbf{- 4} & \mathbf{3} \\ \mathbf{2} & \mathbf{1} & \mathbf{0}\end{array}\right] \) is
\( A \cdot 3 \)
B.
\( c \cdot 2 \)
D. -
Subject: Maths
\( \ln a \Delta A B C, \cos B \cdot \cos C+ \)
\( \sin B \cdot \sin C \cdot \sin ^{2} A=1 . \) Then the
triangle is
A. right - angled isosceles
B. isosceles whose equal angles are greater then \( \pi / 4 \)
c. equilateral
D. none of these
Subject: Maths
For the equation given below, find the slope and the y-intercept:
\( \boldsymbol{x}+\mathbf{3} \boldsymbol{y}+\mathbf{5}=\mathbf{0} \)
A \( \cdot \frac{1}{3} \) and \( \frac{5}{3} \)
в. \( -\frac{1}{3} \) and \( -\frac{5}{3} \)
\( \mathrm{c} \cdot_{-3} \) and \( \frac{3}{5} \)
D. 3 and \( -\frac{5}{3} \)
Subject: Chemistry
\( \boldsymbol{P b O}+\boldsymbol{H}_{2} \rightarrow \boldsymbol{P b}+\boldsymbol{H}_{2} \boldsymbol{O} \)
Which of the following statements is wrong?
A. \( H_{2} \) is the reducing agent
B. PbO is the oxidizing agent
c. PbO is oxidized to Pb
D. \( H_{2} \) is oxidizes to \( H_{2} O \)
Subject: Maths
If \( |\overline{\boldsymbol{a}}|=\mathbf{1},|\overline{\boldsymbol{b}}|=\mathbf{2},|\overline{\boldsymbol{a}}-\overline{\boldsymbol{b}}|^{2}+|\overline{\boldsymbol{a}}+\mathbf{2} \overline{\mathbf{b}}|^{2}= \)
\( \mathbf{2 0}, \) then \( (\overline{\boldsymbol{a}}, \overline{\boldsymbol{b}})= \)
A \( \cdot \frac{\pi}{3} \)
в.
c.
D. \( \frac{2 \pi}{3} \)
Subject: Physics
The curved face of a plano-convex lens
is silvered. If \( \mu \) be the refractive index
and \( r \) the radius of curvature of this
curvature surface, then the system behaves like a concave mirror of radius
\( A \cdot \frac{r}{\mu} \)
в. \( \frac{r}{\mu-1} \)
c. \( r \)
D \( \cdot r(\mu-1) \)
Subject: Maths
\( \boldsymbol{A}=\left[\begin{array}{ccc}\mathbf{1} & \mathbf{2} & \mathbf{3} \\ \mathbf{1} & \mathbf{2} & \mathbf{3} \\ \mathbf{- 1} & \mathbf{- 2} & \mathbf{- 3}\end{array}\right], \) then A is a
nilpotent matrix of index
\( A \)
B. 3
\( c \cdot 4 \)
D. 5
Subject: Physics
Suppose in a clinical thermometer, the
difference between first and second
bigger marks is \( 1^{\circ} \) and there are 5
small divisions between them
then each small division refers to the
difference in scale of:
\( \mathbf{A} \cdot 0.1^{\circ} C \)
B. \( 0.2^{\circ} \mathrm{C} \)
\( \mathbf{c} \cdot 0.3^{\circ} \mathrm{C} \)
D. \( 0.4^{\circ} \mathrm{C} \)
Subject: Physics
Assertion
A cloth covers a table. Some dishes are
kept on it. The cloth can be pulled out without dislodging the dishes from
the table.
Reason
For every action there is an equal and opposite reaction.
A. Statement- - - is True, Statement-2 is True; Statement is a correct explanation for Statement-
B. Statement-1 is True, Statement-2 is True; Statement- is NOT a correct explanation for Statement-1
c. Statement- - 1 is True, Statement- 2 is False
D. Statement- -1 is False, Statement-2 is True
Subject: Maths
If \( \boldsymbol{y}=\cos \left(\boldsymbol{m} \sin ^{-1} \boldsymbol{x}\right), \) the value of \( (\boldsymbol{1}- \)
\( \left.x^{2}\right) y^{\prime \prime}-x y^{\prime} \) is
A. \( -m^{2} y \)
в. \( \frac{y}{m^{2}} \)
c. \( m^{2} y \)
D. \( \frac{m^{2}}{y} \)
Subject: Chemistry
Assertion
Statement- \( I: \) chloropropane has higher boiling point than chlorethane.
Reason
Statement- \( I I \) I haloalkanes are polar
molecules.
A. (A) Statement-I is true, Statement-II is true Statement-II is correct explanation for Statement-I
B. (B) Statement-I is true, Statement-II is true Statement-II is NOT a correct explanation for Statement-I.
c. (c) Statement-I is true, statement-II is false.
D. (D) Statement-I is false, Statement-II is true.
Subject: Chemistry
Four \( 1-1 \) litre flasks are separately filled
with the gases \( H_{2}, H e, O_{2} \) and ozone.
The ratio of total number of atoms of
these gases present in different flask would be:
A .1: 1: 1: 1
B. 1: 2: 2: 3
c. 2: 1: 2: 3
D. 3:2:2:1
Subject: Chemistry
The dissociation constant of acetic acid
and aniline are \( 1.8 \times 10^{-5} \) and \( 4.2 \times \)
\( 10^{-10} \) respectively. What is the pH of the
solution?
A .4 .684
B. 46.84
\( c \cdot 0.4684 \)
D. 684.2
Subject: Physics
The graph shows position as a function of time for two trains \( A \) and \( B \) running on parallel tracks. For times greater
than \( t=0, \) which of the following
statement is true?
A. At time \( t_{B} \), both trains have the same velocity
B. Both trains speed up all the time
\( c . \) Both trains may have the same velocity at some time earlier than \( t_{B} \)
D. Graph indicates that both trains have the same acceleration at a give
Subject: Maths
ldentify the largest side of the triangle. f the angles are given as:
\( \angle A=50^{\circ}, \angle B=10^{\circ} \) and \( \angle C=22^{\circ} \)
\( A \cdot \overline{A B} \)
8. \( \overline{B C} \)
\( c \cdot \overline{C A} \)
\( D . \overline{A C} \)
Subject: Physics
Which of the following process(es) occur(s) during the convective transfer
of heat within a large volume of air?
This question has multiple correct options
A. A continuous flow of warmer and cooler parts of air is established.
B. The flow of air molecules results in flow of heat.
C. The cooler portion of the air surrounding a warmer part exerts a buoyant force on it.
D. As the warmer part of the air moves, it is replaced by cooler air that is subsequently warmed up.
Subject: Physics
Preeti reached the metro station and
found that the escalator was not
working. She walked up the stationary
escalator in time \( t_{1} . \) On other days, if
she remains stationary on the moving
escalator, then the escalator takes her
up in time \( t_{2} . \) The time taken by her to
walk up on the moving escalator will be
A \( \cdot \frac{t_{1}+t_{2}}{2} \)
B. \( \frac{t_{1} t_{2}}{t_{2}-t_{1}} \)
\( \mathbf{C} \cdot \frac{t_{1} t_{2}}{t_{2}+t_{1}} \)
D. \( t_{1}-t_{2} \)
Subject: Physics
Two cylindrical vessels fitted with pistons \( A \) and \( B \) of area of cross section
\( 8 \mathrm{cm}^{2} \) and \( 320 \mathrm{cm}^{2} \) respectively are
joined at their bottom by a tube and they are completely filled with water. When a mass of \( 4 \mathrm{kg} \) is placed on piston
A, find:
(i) the pressure on piston \( A,( \) ii) the pressure on piston \( \mathrm{B} \), and (iii) the thrust on piston B.
Subject: Maths
If \( f(x)=e^{x}, \) then \( \lim _{x \rightarrow 0} f(f(x))^{\frac{1}{(f(x))}} \) is
equal to (where \( \{x\} \) denotes fractional
part of \( \boldsymbol{x} \) ).
A. \( f(1) \)
B. \( f(0) \)
\( c .0 \)
D. Does not exist
Subject: Physics
A charge \( q \) is in a circular motion
perpendicular to the magnetic field B. The angular velocity of charge in radian per second will be
\( \mathbf{A} \cdot \frac{q B}{m} \)
В. \( \frac{q B}{\mu m} \)
c. \( \frac{q}{m B} \)
D. \( \frac{q m B}{2 \pi} \)
Subject: Physics
When the load on a wire is increasing slowly from 2 kg to 4 kg, the elongation increases from \( 0.6 \mathrm{mm} \) to \( 1 \mathrm{mm} \). The
work done during this extension of the
wire is \( \left(\boldsymbol{g}=\mathbf{1 0 m} / \boldsymbol{s}^{2}\right) \)
B . \( 0.4 \times 10^{-3} \) J
c. \( 8 \times 10^{-2} \) j
D. \( 10^{-3} \) 」
Subject: Chemistry
105 mL of pure water at \( 4^{\circ} \mathrm{C} \) is
saturated with \( N H_{3} \) gas yielding a
solution of density \( 0.9 g m L^{-1} \) and
containing \( 30 \% N H_{3} \) by mass. The
volume (in litres) of \( N H_{3} \) gas at \( 4^{\circ} C \)
and \( 775 \mathrm{mm} \) of Hg, which was used to saturate the water is (as the nearest
integer):
Subject: Physics
A current of \( 10^{-7} \) ampere produces 50
division deflection in a galvanometer. Then its figure of merit will be
A \( \cdot 10^{-4} \) amp \( / d i v \)
B . \( 10^{-8} \) amp / div
\( \mathbf{c} \cdot 10^{-10} \mathrm{amp} / \mathrm{div} \)
D. \( 2 \times 10^{-9} \) amp/div
Subject: Chemistry
\( N_{2}+O_{2}+H e a t \rightarrow 2 N O \)
\( (g) \)
\( \boldsymbol{q} \)
\( \boldsymbol{C}_{(\boldsymbol{s})}+\boldsymbol{O}_{\boldsymbol{2}(\boldsymbol{g})} \rightarrow \boldsymbol{C} \boldsymbol{O}_{\boldsymbol{2}(\boldsymbol{g})}+\boldsymbol{Q} \)
What information do you get from the above equations ? Comment. Write an activity about how you conduct an experiment to show that more
reactive metals replace less reactive metals from their compounds.