AkshitPareek2004/jee-question-analyzer-data huggingface dataset:
Subject: Physics
Consider the following statements [1] \( \mathrm{CM} \) of a uniform semicircular disc of
radius \( R=2 R / \pi \) from the centre
[2] CM of a uniform semicircular ring of radius \( R=4 R / 3 \pi \) from the centre
[3] CM of a solid hemisphere of radius \( \boldsymbol{R}=\boldsymbol{4} \boldsymbol{R} / \mathbf{3} \boldsymbol{\pi} \) from the centre
[4] CM of a hemisphere shell of radius \( \boldsymbol{R}=\boldsymbol{R} / 2 \) from the centre
Which statement are correct:
A \( \cdot 1,2,4 \)
в. 1,3,4
\( c \cdot 4 \) only
D. 1,2 only
Subject: Physics
The distance between the lower and
upper fixed points of a Fahrenheit
thermometer is \( 90 \mathrm{mm} \). If mercury rises \( 30 \mathrm{mm} \) above the lower fixed point then find the corresponding temperature.
A \( \cdot 65^{\circ} \)
В \( \cdot 92^{\circ} \)
\( \mathbf{c} \cdot 62^{\circ} F \)
D. \( 60^{\circ} \mathrm{F} \)
Subject: Maths
If \( \frac{1}{2} \leq \log _{0.1} x \leq 2, \) then:
A \( \cdot \) maximum value of \( x \) is \( \frac{1}{\sqrt{10}} \)
B. \( x \) lies between \( \frac{1}{100} \) and \( \frac{1}{\sqrt{10}} \)
C. minimum value of \( x \) is \( \frac{1}{10} \)
D. minimum value of \( x \) is \( \frac{1}{100} \)
E . maximum value of \( x \) is \( \frac{1}{100} \)
Subject: Chemistry
Select correct statement(s):
This question has multiple correct options
A. In \( \alpha \) -graphite, the layers are arranged in the sequence \( A B A B \)
B. \( \ln \beta \) -graphite, the layers are arranged in the sequence \( A B C A B C \)
C. In \( \alpha \) -graphite, the layers are arranged in the sequence \( A B C A B C \)
D. \( \ln \beta \) -graphite, the layers are arranged in the sequence \( A B A B \)
Subject: Physics
Work done in blowing a soap bubble of radius \( R \) is \( W \). The additional amount
of work done to increase its radius to
\( \sqrt{3 R} \) is :
\( \mathbf{A} \cdot 3 W \)
B. \( 2 W \)
c. \( W \)
D. \( \frac{W}{3} \)
Subject: Maths
The inverse of the statement \( (p \wedge \sim \)
\( \boldsymbol{q}) \rightarrow \boldsymbol{r} \) is
A. \( (p \vee \sim q) \rightarrow \sim r \)
в. \( (\sim p \wedge \sim q) \rightarrow \sim r \)
c. \( (\sim p \vee q) \rightarrow \sim r \)
D. None of these.
Subject: Physics
Assertion
Assertion: In a nuclear process mass
gets converted into energy.
Reason Reason: According to Einstein's mass energy equivalence relation, mass m is equivalent to energy \( \mathrm{E} \), given be the
relation \( \boldsymbol{E}=\boldsymbol{m} \boldsymbol{c}^{2} \) where \( c \) is the speed
of light in vacuum.
A. If both assertion and reason are true and reason is the correct explanation of assertion
B. If both assertion and reason are true and reason is not the correct explanation of assertion.
C. If assertion is true but reason is false
D. If both assertion and reason are false.
Subject: Chemistry
The value of Boltzmann constant is:
(in erg \( \boldsymbol{K}^{-1} \) molecule \( ^{-1} \) )
A \( \cdot 1.38 \times 10^{-16} \)
B . \( 1.38 \times 10^{-23} \)
c. \( 8.314 \times 10^{7} \)
D. \( 6.023 \times 10^{-16} \)
Subject: Chemistry
An open vessel at \( 27^{\circ} C \) is heated until
the three-fourths mass of the air in it
has been expelled. Neglecting the expansion of the vessel, find the temperature to which the vessel has been heated.
A \( \cdot T_{2}=723^{\circ} \mathrm{C} \)
В . \( T_{2}=958^{\circ} \mathrm{C} \)
c. \( T_{2}=927^{\circ} \mathrm{C} \)
D. None of these
Subject: Chemistry
In calcium fluoride, having the fluorite structure, the coordination numbers for
calcium ion \( \left(C a^{2+}\right) \) and fluoride ion
\( \left(\boldsymbol{F}^{-}\right) \) are:
A. 8 and 4
B. 4 and 8
\( c \cdot 4 \) and 2
D. 6 and 6
Subject: Maths
If the product of the matrices
\[
\left[\begin{array}{ll}
1 & 1 \\
0 & 1
\end{array}\right]\left[\begin{array}{ll}
1 & 2 \\
0 & 1
\end{array}\right]\left[\begin{array}{ll}
1 & 3 \\
0 & 1
\end{array}\right]
\]
\( \left[\begin{array}{cc}\mathbf{1} & \boldsymbol{n} \\ \mathbf{0} & \mathbf{1}\end{array}\right]=\left[\begin{array}{cc}\mathbf{1} & \mathbf{3 7 8} \\ \mathbf{0} & \mathbf{1}\end{array}\right], \) then \( \boldsymbol{n} \) is
equal to
\( A \cdot 27 \)
B . 26
\( c .37 \)
D. 37
Subject: Physics
The maximum current in the inductor
is:
A \( \cdot \frac{3 V_{0}}{2} \sqrt{\frac{3 C}{L}} \)
3. \( V_{0} \sqrt{\frac{3 C}{L}} \)
\( ^{c} \cdot 2 V_{0} \sqrt{\frac{3 C}{L}} \)
\( v_{0} \sqrt{\frac{C}{I}} \)
Subject: Chemistry
If the \( K_{b} \) value in the hydrolysis
reaction, \( \boldsymbol{B}^{+}+\boldsymbol{H}_{2} \boldsymbol{O} \rightleftharpoons \boldsymbol{B O H}+\boldsymbol{H}^{+} \) is
\( 1.0 \times 10^{-6}, \) then the hydrolysis constant
of the salt would be:
A \( .1 .0 \times 10^{-6} \)
В. \( 1.0 \times 10^{-7} \)
c. \( 1.0 \times 10^{-8} \)
D . \( 1.0 \times 10^{-9} \)
Subject: Maths
Differentiate with respect to \( x \) \( \sin \left(m \sin ^{-1} x\right) \)
\( A \cdot \cos \left(m \cos ^{-1} x\right) \)
B . \( \sin \left(m \sin ^{-1} x\right) \)
\( \mathrm{c} \cdot m^{2} \sin x \)
D. none of these
Subject: Maths
Which of the following is possible
A \( \cdot \sin \theta=\frac{5}{3} \)
B. \( \tan \theta=1002 \)
\( ^{\mathrm{c}} \cdot \cos \theta=\frac{1+p^{2}}{1-p^{2}},(p \neq\pm 1) \)
D. \( \sec \theta=\frac{1}{2} \)
Subject: Maths
The function \( f(x)=\tan ^{-1}(\sin x+ \)
\( \cos x) \) is strictly increasing function in
A \( \cdot\left(\frac{\pi}{4}, \frac{\pi}{2}\right) \)
B \( \cdot\left(-\frac{\pi}{2}, \frac{\pi}{4}\right) \)
c. \( \left(0, \frac{\pi}{4}\right) \)
D. \( \left(-\frac{\pi}{2}, \frac{\pi}{2}\right) \)
Subject: Chemistry
Which of the following acids have the
lowest \( p K_{a} \) value?
\( A \)
\( C l \)
\[
\begin{array}{c}
\mid \\
C H_{3}-C H-C O O H
\end{array}
\]
в. \( C l-C H_{2}-C H_{2}-C O O H \)
c. \( C C l_{3} \) СООН
D. \( C H C l_{2} C O O H \)
Subject: Chemistry
The energy of an electron in the \( 1 s \)
orbital of \( \boldsymbol{H}^{-}, \boldsymbol{H} e, \boldsymbol{L} \boldsymbol{i}^{+} \) and \( \boldsymbol{B} \boldsymbol{e}^{2+} \)
follows the order.
A \( . H^{-}>H e>L i^{+}>B e^{2} \)
B . \( L i^{+}>B e^{2+}>H e>H^{-} \)
\( \mathbf{c} \cdot B e^{2+}>L i^{+}>H e>H \)
D. \( H^{-}>L i^{+}>H e>B e^{2} \)
Subject: Physics
The length of conductor ab carrying
current \( I_{2} \) is \( l . \) The force acting on it due
to a long current carrying conductor as shown in figure. The midpoint of wire ab is distance \( x \) apart from long wire. The magnitude of the force on the wire is:
A \( \cdot \frac{\mu_{0} I}{2 \pi} \log _{e} \frac{x+l / 2}{x-l / 2} \)
В. \( \frac{\mu_{0} I}{2 \pi x} \)
c. \( \frac{\mu_{0} I}{2 \pi} \log _{e} \frac{x-l / 2}{x+l / 2} \)
D. \( _{\mu_{0} \text { Ilog }_{e}} \frac{x-l / 2}{x+l / 2} \)
Subject: Physics
A rubber ball is brought into \( 200 \mathrm{m} \) deep water, its volume is decreased by \( 0.1 \% \) then volume elasticity coefficient of the material of ball will be:
\( \left(\text {Given } \rho=10^{3} k g / m^{3} \text { and } g=\right. \)
\( \left.9.8 m s^{-2}\right) \)
A \( \cdot 19.6 \times 10^{8} N / m^{2} \)
В. \( 19.6 \times 10^{-10} N / m^{2} \)
c. \( 19.6 \times 10^{10} N / m^{2} \)
D. \( 19.6 \times 10^{-8} N / m^{2} \)
Subject: Chemistry
Which of the following shows maximum molar conductance?
A \( \cdot\left[\operatorname{Co}\left(N H_{3}\right)_{6}\right] C l_{3} \)
В \( \cdot\left[\operatorname{Co}\left(N H_{3}\right)_{3} C l_{3}\right] \)
c. \( \left[\operatorname{Co}\left(N H_{3}\right)_{4} C l_{2}\right] C l \)
D \( \cdot\left[\operatorname{Co}\left(N H_{3}\right)_{5} C l\right] C l_{2} \)
Subject: Physics
A South pole and North pole of each strength 'm' are placed at the two corners of an equilateral triangle of side 'a'. The resultant magnetic induction field
strength at the third vertex is :
A. o (zero)
в. \( \frac{2 \mu_{0}}{4 \pi} \frac{m}{d^{2}} \)
c. \( \frac{\mu_{0}}{4 \pi} \frac{m}{d^{2}} \)
D. \( \frac{3 \mu_{0}}{4 \pi} \frac{m}{d^{2}} \)
Subject: Chemistry
In Duman's method of estimation of
nitrogen, 0.35 g of an organic compound gave 55 mL of nitrogen collected at \( 300 \mathrm{K} \) temperature and \( 715 \mathrm{mm} \) pressure. The percentage composition of nitrogen in the compound would be:
(Aqueous tension at \( 300 K=15 \mathrm{mm} \) )
A . 15.45
B. 16.45
c. 17.45
D. 14.45
Subject: Physics
Obtain an expression for potential energy of a particle performing simple harmonic motion. Hence evaluate the
potential energy (a) at mean position and (b) at extreme position. A horizontal
disc is freely rotating about a transverse axis passing through its centre at the rate of 100 revolutions per
minute. A 20 gram blob of wax falls on
the disc and sticks to the disc at a
distance of \( 5 \mathrm{cm} \) from its axis. Moment
of inertia of the disc about its axis
passing through its centre of mass is \( 2 \times 10^{-4} k g m^{2} . \) Calculate the new
frequency of rotation of the disc.
Subject: Physics
A current of \( 5 \mathrm{A} \) is passing through a
metallic wire of length \( 5 \mathrm{m} \) and crosssectional area of \( 10^{-5} m^{2} . \) If the density
of the electrons in the wire is \( 6.25 x \)
\( 10^{26} m^{3}, \) find the time taken by the
electrons to travel from one end of the
wire to the other.
Subject: Chemistry
The standard reduction potential for \( C u^{2+} 1 C u \) is +0.34 V. The reduction
potential at \( \mathrm{pH}=14 \) for the above couple is:
\( \boldsymbol{K}_{s p} \) of \( \boldsymbol{C u}(\boldsymbol{O H})_{2} \) is \( 1.0 \times 10^{-19} \)
\( \mathbf{A} \cdot 0.34 V \)
B . \( 0.56 V \)
c. \( -0.22 V \)
D. None of these
Subject: Physics
What is the value of inductance \( L \) for
which the current flowing is maximum in a series LCR circuit with \( C=10 \mu F \)
and \( \omega=1000 s^{-1} ? \)
A. \( 100 m H \)
в. \( 1 m H \)
c. Cannot be calculated unless \( R \) is known
D. \( 10 m H \)
Subject: Physics
Two particles are in SHM along same line. Time period of each is \( T \) and
amplitude is \( A . \) After how much time
will they collide if at time \( t=0 . \) First particle is at \( x_{1}=+\frac{A}{2} \) and moving
towards positive \( x- \) axis and second particle is at \( x_{2}=-\frac{A}{\sqrt{2}} \) and moving
towards negative \( x- \) axis.
A \( \cdot \frac{18}{19} T \)
в. \( \frac{19}{48} \mathrm{T} \)
c. \( \frac{48}{19} T \)
D. \( \frac{19}{18} \mathrm{T} \)
Subject: Maths
The differential equation of all vertical lines in a plane is?
A \( \cdot \frac{d^{2} y}{d x^{2}}=0 \)
B. \( \frac{d^{2} x}{d y^{2}}=0 \)
c. \( \frac{d y}{d x}=0 \)
D. \( \frac{d x}{d y}=0 \)
Subject: Chemistry
Valli took some common salt,
naphthalene balls, camphor, baking
soda and washing soda. She attempted
to dissolve these substances either in
water or in acetone.

Complete the table with the expected results.
MEDIUM IN SUBSTANCE WHICH ITIS SOLUBLE
a. Common salt
\( b \)
Naphthalene balls
c. Camphor
d. Baking soda
e. Washing soda
Subject: Chemistry
Which of the following statement(s) is/are correct?

As the s-character of a hybrid orbital decreases,
(1) the bond angle decreases
(II) the bond strength increases
(III) the bond length increases
(IV) the size of orbital increases
\( A \cdot(1),(11) \) and (IV)
B. (I), (III) and (IV)
c. (।) and (II)
D. (I), (II), (III) and (IV)
Subject: Physics
A body of mass \( 1 k g \) falls from a height
of \( 5 m . \) How much energy does it
possess at any instant? (Consider \( \boldsymbol{g}= \)
\( \left.10 m s^{-2}\right) \)
A . \( 25 J \)
в. \( 50 J \)
c. 0
D. can not be determined with the help of given data
Subject: Chemistry
\( 2 H_{2}(g)+O_{2}(g) \longrightarrow 2 H_{2} O(g) \)
For this reaction relate \( \Delta H \) and \( \Delta U \)
A. \( \Delta H=\Delta U \)
в. \( \Delta H>\Delta U \)
c. \( \Delta H<\Delta U \)
D. None of these
Subject: Maths
Equation 1:
and 2 \( \boldsymbol{x} \) ; -2 \( \mathbf{0} \) 4
\( 4 \quad 2 \)
Equation 2:
\( \boldsymbol{x} \) \( -8 \quad-4 \) \( \mathbf{0} \) What is and 4
-8 -7 7 -6 -5
The linear equations represented by the data shown in the above tables form a
system, what is the \( x- \) coordinate of
the solution to that system?
\( \mathbf{A} \cdot 4 \)
B. 8
\( \mathbf{c} .0 \)
D. -6
Subject: Chemistry
Find out the number of dimerize
products obtained by following reaction \( \boldsymbol{H}_{3} \boldsymbol{C}-\boldsymbol{C l}+\boldsymbol{H}_{3} \boldsymbol{C}-\boldsymbol{C H}_{2}-\boldsymbol{C l}+ \)
\( \boldsymbol{H}_{3} \boldsymbol{C}-\boldsymbol{C H}_{2}-\boldsymbol{C H}_{2}-\boldsymbol{C l} \frac{N \boldsymbol{a}}{\text {Dryether}} \)
Subject: Chemistry
The crystalline salt, \( N a_{2} S O_{4} x H_{2} O \) on
heating losses \( 55.9 \% \) of its weight. The formula of the crystalline salt is :
A. \( N a_{2} S O_{4} .5 H_{2} O \)
B. \( N a_{2} S O_{4} .7 H_{2} O \)
c. \( N a_{2} S O_{4} \cdot 10 H_{2} O \)
D. \( N a_{2} S O_{4} .2 H_{2} O \)
Subject: Maths
(a) If the roots of the equation, \( (b- \)
\( c) x^{2}+(c-a) x+(a-b)=0 \) be equal
then prove thar \( a, b, c \) are in arithmetical
progression.
(b) If \( a(b-c) x^{2}+b(c-a) x+c(a- \)
b) \( =0 \) has equal roots, prove that \( a, b, c \)
are in harmonical progression.
Subject: Maths
If \( -1<x<0, \) then \( \cos ^{-1} x \) is equal to
This question has multiple correct options
A \( \cdot \sec ^{-1} \frac{1}{x} \)
B . \( \pi-\sin ^{-1} \sqrt{1-x^{2}} \)
\( \pi+\tan ^{-1} \frac{\sqrt{1-x^{2}}}{x} \)
D. \( \cot ^{-1} \frac{x}{\sqrt{1-x^{2}}} \)
Subject: Biology
Myasthenia gravis is a/an
A. Autoimmune disease caused due to non-secretion of acetylcholine at neuromusclar junction.
B. Muscle related disease, caused by hormonal disorder.
C. Autoimmune disease, caused due to non-section of
\( \mathrm{CSF} \)
D. Autommune disease, caused due to non-conduction of impulses at neural junction.
Subject: Maths
If \( A=\{1,2,3\} \) and \( B=\{4,5\} \) then the
number of function \( \boldsymbol{f}: \boldsymbol{A} \rightarrow \boldsymbol{B} \) which is
not onto is
\( A \cdot 2 \)
B. 6
c. 8
D. 4
Subject: Physics
A body initially at rest, starts moving along \( x \) -axis in such a way so that its
acceleration vs displacement plot is as
shown in figure. The maximum velocity
of particle is
A . \( 1 \mathrm{m} / \mathrm{s} \)
B. \( 6 m / s \)
c. \( 2 m / s \)
D. None of the above
Subject: Maths
A plastic box \( 1.5 \mathrm{m} \) long, \( 1.25 \mathrm{m} \) wide, and \( 65 \mathrm{cm} \) deep is to be made. It is to be opened at the top. Ignoring the thickness of the plastic, the cost of the sheet for covering it, if a sheet measuring \( 1 m^{2} \) costs Rs. 20 is:
A . Rs. 100
B. Rs. 109
c. Rs. 115
D. Rs. 110
Subject: Physics
A student is standing at a distance of
\( \mathbf{5 0} \) meters behind a bus. As soon as the
bus starts with an acceleration of
\( 1 m s^{-2}, \) the student starts running towards the bus with a uniform velocity
\( u \). Assuming the motion to be along straight road the minimum value of \( u \)
so that the student is able to catch the
bus is:
A \( .5 \mathrm{ms}^{-1} \)
B. \( 8 m s^{-1} \)
\( \mathrm{c} \cdot 10 \mathrm{ms}^{-1} \)
D. \( 12 \mathrm{ms}^{-1} \)
Subject: Physics
In an R-C circuit, select the correct
options among the following:
This question has multiple correct options
A. Instantaneous A.C is given by \( I=I_{0} \sin (w t+\phi) \)
B. The alternating current in the circuit leads the emf by a phase angle
C. Its impedance is \( \sqrt{R^{2}+(w C)^{2}} \)
D. Its capacitive reactance is \( \omega C \)
Subject: Maths
\( \frac{\boldsymbol{d}}{\boldsymbol{d} \boldsymbol{x}} \sec \boldsymbol{x}= \)
\( \mathbf{A} \cdot \sec x \tan x \)
\( \mathbf{B} \cdot \cos x \tan x \)
\( c \cdot \sin x \tan x \)
\( \mathbf{D} \cdot \sec x \cot x \)
Subject: Physics
A liquid enter at point \( A_{1} \) with speed 3.5
\( \mathrm{m} / \mathrm{s} \) and leaves at point \( A_{2} . \) Then find out the height attained by the liquid
above point \( \boldsymbol{A}_{\mathbf{2}} \)
A \( .61 .25 \mathrm{cm} \)
B. \( 51.25 \mathrm{cm} \)
c. \( 41.25 \mathrm{cm} \)
D. \( 71.25 \mathrm{cm} \)
Subject: Physics
The displacement of a particle
executing SMH is given by \( \boldsymbol{x}= \) \( 0.01 \sin 100 \pi(t+0.05) . \) The time
period is
A . 0.01 sec
B. 0.02 sec
c. \( 0.1 \mathrm{sec} \)
D. \( 0.2 \sec \)
Subject: Chemistry
Assertion
Extraction of iron metal from iron oxide
ore is carried out by heating with coke.
Reason
The reaction \( F e_{2} S O_{3} \Delta F e(s)+ \)
\( \mathbf{3} / \mathbf{2} \boldsymbol{O}_{\mathbf{2}}(\boldsymbol{g}) \) is a spontaneous process at
standarde condition.
Read the above assertion and reason
and choose the correct option regarding
¡t
A. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
B. Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion
c. Assertion is correct but Reason is incorrect
D. Both Assertion and Reason are incorrect
Subject: Physics
If \( R \) is the radius of the earth and \( g \) the
acceleration due to gravity on the earth's surface, then mean density of the earth is:
A \( \cdot \frac{4 \pi G}{3 g R} \)
в. \( \frac{3 \pi R}{4 g G} \)
c. \( \frac{3 g}{4 \pi R G} \)
D. \( \frac{r g}{12 R G} \)
Subject: Chemistry
Match the following, regarding nature of the oxides.
\( \begin{array}{ll}\text { Column - - } & \text { Column-II } \\ \text { a. } N_{2} O & \text { (i) Basic } \\ \text { b. Bao } & \text { (ii) Amphoteric } \\ \text { c. } A s_{2} O_{3} & \text { (iii) Acidic } \\ \text { d. } C l_{2} O_{7} & \text { (iv) Neutral }\end{array} \)
\( A \)
\( a(\text { ii) }, b(i), c(\text { iii) }, d(i \text { iv }) \)
B. a (iv), b(i), c(iii), d(ii)
c. \( a(\text { iv) }, b(i), c(i \text { i) }, d( \text { iii) } \)
\( \mathbf{D} \cdot \mathbf{a}(\mathbf{i} \mathbf{i}), \mathbf{b}(\mathbf{i}), \mathbf{c}(\mathbf{i} \mathbf{v}), \mathrm{d}(\text { iii }) \)
Subject: Chemistry
\( \Delta H^{0} \quad \) and \( \quad \Delta S^{0} \quad \) for \( \quad C C l_{4} \) are
\( 2.5 K J^{-1} m o l^{-1} \quad \$ \quad 9.99 J K^{-1} m o l^{-1} \)
respectably at \( 298^{0} K \) find the
temperature at which solid \( C C l_{4} \) and
its liquid are in equilibrium at one atmosphere.
Subject: Chemistry
\( 11.6 g \) of an organic compound having
formula \( C_{n} H_{2 n+2} \) is burnt in excess of
\( O_{2}(g) \) initially taken in a 22.41 litre
steel vessel. Before reaction the
gaseous mixture was at \( 273 K \) with
pressure reading 2atm. After complete
combustion and loss of consideration
amount of heat, the mixture of product
and excess of \( O_{2} \) had a temperature of
\( 546 K \) and \( 4.6 a t m \) pressure. The
formula of organic compound is:
A. \( C_{2} H_{6} \)
в. \( C_{3} H_{8} \)
c. \( C_{5} H_{12} \)
D. \( C_{4} H_{10} \)
Subject: Chemistry
(B) \( \overbrace{\operatorname{Ph} C H}^{N a B H_{4}} \operatorname{CH} \)
\( \boldsymbol{C H O} \frac{1 . L A H, \text { ether }}{2 . H_{3} O^{+}}(A) \) The products \( (A) \)
and (B) are:
\( A \)
\( A \)
в.
\( c \)
D.
Subject: Physics
Assertion
An AND gate is a universal gate.
Reason
The boolean expression for AND gate is
\( A \cdot B=C \)
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: Chemistry
Assertion
The endothermic reactions are favoured
at lower temperature and the exothermic reactions are favoured at
higher temperature
Reason
When a system in equilibrium is disturbed by changing the temperature, it will tend to adjust itself so as to
overcome the effect of the change.
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: Chemistry
\( \boldsymbol{H}_{2}+\boldsymbol{I}_{2} \rightarrow 2 \boldsymbol{H} \boldsymbol{I} \)
What is the \( K_{e q} \) for the reaction shown
above if \( \boldsymbol{H}_{2}=\mathbf{1} \) atm, \( \boldsymbol{I}_{2}=\mathbf{2} \) atm and
\( \boldsymbol{H} \boldsymbol{I}=\boldsymbol{3} \) atm?
A . 0.33
в. 3
\( c \cdot 0.22 \)
D. 0.67
E . 4.5
Subject: Chemistry
Calculate the percentage ionization of
\( 0.01 M \) acetic acid in \( 0.1 M H C l . K_{a} \) of
acetic acid is \( 1.8 \times 10^{-5} \)
A. \( 0.18 \% \)
B. \( 0.018 \% \)
\( \mathrm{c} .1 .8 \% \)
D. \( 18 \% \)
Subject: Chemistry
What will be the wavelength of an
electron moving with \( \frac{1}{10} t h \) of velocity of light?
A \( \cdot 2.43 \times 10^{-11} \mathrm{m} \)
В . \( 243 \times 10^{-11} \) и
\( c .0 .243 m \)
D. 2.43 \( \times 10^{-4} \mathrm{m} \)
Subject: Chemistry
Assertion: Nitrogen is inactive in normal chemical reactions.
Reason: The bond dissociation energy
is directly proportional to reactivity
A. Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion
B. Both Assertion and Reason are correct but the Reason is not the correct explanation of the Assertion
c. Assertion is correct but the Reason is incorrect
D. Assertion is incorrect but the Reason is correct
Subject: Chemistry
From among the elements, choose the
following:
\( \mathrm{Cl}, \mathrm{Br}, \mathrm{F}, \mathrm{O}, \mathrm{Al}, \mathrm{C}, \mathrm{Li}, \mathrm{Cs} \) and \( \mathrm{Xe} \)
The element which belongs to zero
group.
Subject: Maths
The volume of a sphere is \( \frac{4}{3} \pi r^{3} c . c . \) What is the ratio of the volume of a
cube to that of a sphere which will fit inside the cube?
\( \mathbf{A} \cdot 4: 3 \pi \)
в. \( 2: \pi \)
\( c \cdot 8: \pi \)
D. \( 6: \pi \)
Subject: Biology
Identify the correct aestivations.
A. a-valvate, b-Twisted, c-Vexillary, d-Imbricate
B. a-Valvate, b-Twisted, c-lmbricate, d-Vexillary
C. a-Valvate, b-Vexillary, c-Twisted, d-Imbricate
D. a-Vexillary, b-Imbricate, c-Twisted, d-Valvate
\( \mathrm{E} \). a-Valvate, b-lmbricate, c-Twisted, d-Vexillary
Subject: Chemistry
An electron in the hydrogen atom is excited from the first orbit to the fifth
orbit. The frequency of radiation is:
A \( \cdot 0.44 \times 10^{9} \mathrm{Hz} \)
В. \( 0.317 \times 10^{15} \mathrm{Hz} \)
c. \( 6.2 \times 10^{8} H z \)
D. \( 1.13 \times 10^{12} \mathrm{Hz} \)
Subject: Chemistry
For the reaction,
\( \mathrm{C}+\mathrm{O}_{2} \rightarrow \mathrm{CO}_{2} \)
Which of the following option is correct?
\( \mathbf{A} \cdot \Delta \mathbf{H}>\Delta \mathbf{E} \)
B. \( \Delta \mathrm{H}<\Delta \mathrm{E} \)
c. \( \Delta H=\Delta E \)
D. \( \Delta H=0 \)
Subject: Physics
The length of a strip measured with a
meter rod is \( 10.0 \mathrm{cm} \) its width measured
with a vernier caliper is \( 1.00 \mathrm{cm} . \) The least count of the meter rod is \( 0.1 \mathrm{cm} \) and that of vernier caliper caliper 0.01 \( \mathrm{cm} \) water will be error in its area?
\( \mathbf{A} \cdot \pm 13 \% \)
B. \( \pm 7 \% \)
\( c . \pm 4 \% \)
D. \( \pm 2 \% \)
Subject: Physics
A boy is executing Simple Harmonic Motion. At a displacement \( x \), its
potential energy is \( E_{1} \) and at a
displacement \( y, \) its potential energy is \( \boldsymbol{E}_{2} . \) The potential energy \( \boldsymbol{E} \) at
displacement \( (\boldsymbol{x}+\boldsymbol{y}) \) is:
A \( \cdot \sqrt{E}=\sqrt{E_{1}}-\sqrt{E_{2}} \)
B. \( \sqrt{E}=\sqrt{E_{1}}+\sqrt{E_{2}} \)
c. \( E=E_{1}+E_{2} \)
D. \( E=E_{1}-E_{2} \)
Subject: Biology
Cell division is tightly regulated, which of the following is true regarding mitosis or meiosis.
I. Mitosis shows no homologous pairing.
II. There is no S phase between meiosis
and II
III. Meiosis centromeres do not divide at
anaphase I.
A. I and III only
B. I and II only
c. ॥ only
D. I, II and III
Subject: Maths
If \( f^{\prime}(x)=g(x)(x-a)^{2}, \) where \( g(a) \neq 0 \)
and \( g \) is continuous at \( x=a \) then
This question has multiple correct options
A. \( f \) is increasing near a if \( g(a)>0 \)
B. \( f \) is increasing near a if \( g(a)<0 \)
c. \( f \) is decreasing near a if \( g(a)>0 \)
D. \( f \) is decreasing near a if \( g(a)<0 \)
Subject: Physics
An ice block at \( 0^{0} C \) is dropped from
height h above the ground. What should be the value of \( h \) so that it just melts completely by the time it reaches the bottom assuming the loss of whole gravitational potential energy is used
as heat by the ice ? [Given : \( L_{f}=80 \) cal/gm]
A. 33.6 \( m \)
B. 33.6 km
\( c \cdot 8 m \)
\( D .8 \mathrm{km} \)