AkshitPareek2004/jee-question-analyzer-data huggingface dataset:
Subject: Maths
If \( f(x)=\left(\frac{x-1}{x+1}\right), \) then which of the following statements is/are correct? This question has multiple correct options
\( ^{\mathrm{A}} \cdot f\left(\frac{1}{x}\right)=f(x) \)
B \( \cdot f\left(\frac{1}{x}\right)=-f(x) \)
c. \( f\left(-\frac{1}{x}\right)=\frac{1}{f(x)} \)
D \( f\left(-\frac{1}{x}\right)=-\frac{1}{f(x)} \)
Subject: Chemistry
The change in potential of the half-cell \( C u^{2+} / C u, \) when aqueous \( C u^{2+} \)
solution is diluted 100 times at \( 298 K ? \)
\( \left[\frac{2.303 R T}{F}=0.06\right] \)
A. Increases by \( 120 \mathrm{mV} \)
B. Decreases by \( 120 \mathrm{mV} \)
c. Increases by \( 60 \mathrm{mV} \)
D. Decreases by \( 60 \mathrm{mV} \)
E. No change
Subject: Physics
A monoatomic ideal gas, initially at
temperature \( T_{1}, \) is enclosed in a cylinder fitted with a frictionless piston. The gas is allowed to expand adiabatically to a temperature \( T_{2} \) by releasing the piston suddenly. If \( L_{1} \) and
\( L_{2} \) are lengths of gas column before and after expansion respectively, then \( \frac{\boldsymbol{T}_{1}}{\boldsymbol{T}_{2}} \) is given by
\( ^{\mathrm{A}}\left(\frac{L_{1}}{L_{2}}\right)^{2 / 3} \)
в. \( \frac{L_{1}}{L_{2}} \)
c. \( \frac{L_{2}}{L_{1}} \)
\( \left(\frac{L_{2}}{L_{1}}\right)^{2 / 3} \)
Subject: Physics
Assertion: In optical fibre, the diameter of the core is kept small.

Reason: This smaller diameter of the
core ensures that the fibre should have incident angle more than the critical angle required for total internal reflection.
A. Both assertion and reason are true but the reason is the correct explanation of assertion
B. Both assertion and reason are true but the reason is not the correct explanation of assertion
c. Assertion is true but reason is false
D. Both the assertion and reason are false
E. Reason is true but assertion is false
Subject: Physics
Consider a p-njunction as a capacitor, formed with \( p \) and \( n \) material acting as thin metal electrodes and depletion layer width acting as separation between them. Based on this,
assume that an n-p-n transistor is working as a amplifier in CE
configuration. If \( C_{1} \) and \( C_{2} \) be base-
emitter and collector-emitter
junction capacitances, then
A \( \cdot C_{1}>C_{2} \)
B. \( C_{1}<C_{2} \)
\( \mathbf{c} \cdot C_{1}=C_{2} \)
\( \mathbf{D} \cdot C_{1}=C_{2}=0 \)
Subject: Maths
Between a square of perimeter \( 44 \mathrm{cm} \) and a circle of circumference \( 44 \mathrm{cm} \) which figure has a larger area and by how much?
A. Square, \( 33 \mathrm{cm}^{2} \)
B . Circle, \( 33 \mathrm{cm}^{2} \)
c. Both have equal areas
D. square, \( 95 \mathrm{cm}^{2} \)
Subject: Physics
A ball is dropped from height \( \boldsymbol{H} \) on to a horizontal surface. If the coefficient of
restitution is \( e, \) then the total time after
which it comes to rest is
A. \( \sqrt{\frac{2 H}{g}}\left(\frac{1-e}{1+e}\right) \)
B. \( \sqrt{\frac{2 H}{g}}\left(\frac{1+e}{1-e}\right) \)
\( ^{\mathbf{c}} \cdot \sqrt{\frac{2 H}{g}}\left(\frac{1+e^{2}}{1-e^{2}}\right) \)
D. \( \sqrt{\frac{2 H}{g}}\left(\frac{1-e^{2}}{1+e^{2}}\right) \)
Subject: Chemistry
\( \mathbf{2} C_{6} \boldsymbol{H}_{5} \boldsymbol{C l}+\mathbf{2} \boldsymbol{N} \boldsymbol{a} \rightarrow \boldsymbol{X} \)
In the given reaction \( \boldsymbol{X} \) is:
A. toulene
B. biphenyl
c. phenyl ethane
D. 1-chloro-2-phenyl ethane
Subject: Chemistry
The energy needed to remove one electron from unipositive ion is abbreviated as:
\( \mathbf{A} \cdot 1^{s t} I \cdot P \)
B. \( 3^{r d} \) I.P.
\( \mathbf{c} \cdot 2^{n d} I . P \)
D. \( 1^{s t} \) E.A.
Subject: Physics
Two parallel infinite wires separated by
distance ' \( d^{\prime} \) carry currents as shown in
figure. The distance from a third infinite wire
be kept parallel to wire carrying current
\( l_{1}, \) the wire such that it stays in equilibrium is
A \( \cdot \frac{I_{2}}{I_{2}+I_{1}} d \) or \( \frac{I_{1}}{I_{1}+I_{2}} d \)
в. \( \frac{I_{2}}{I_{2}-I_{1}} d \) or \( \frac{I_{1}}{I_{1}-I_{2}} d \)
c. \( \frac{I_{2}}{I_{1}-I_{2}} d \) or \( \frac{I_{1}}{I_{1}-I_{2}} d \)
D. \( \frac{2 I_{2}}{I_{2}+I_{1}} d \) or \( \frac{I_{1}}{I_{1}-I_{2}} d \)
Subject: Biology
Match the items of column I and
column I
\( \begin{array}{llll}\text { Column } & & \text { Column II } & \\ & \text { I } & & \\ \text { a } & \text { Mitchell } & \text { p } & \begin{array}{l}\text { Steps of dark reaction } \\ \text { to photosynthesis }\end{array} \\ \text { b } & \text { Gibbs } & \text { q } & \text { Photophosphorylation } \\ \text { c } & \text { Arnon } & \text { r } & \text { Concept of free energy } \\ \text { d } & \text { Calvin } & \text { s } & \begin{array}{l}\text { Chemiosmotic } \\ \text { hypothesis }\end{array} \\ & \text { t } & \text { Mass flow hypothesis }\end{array} \)
\( A \cdot a-s, b-t, c-r, d-q \)
B. \( a-s, b-r, c-p, d-q \)
\( c \cdot a-r, b-s, c-p, d-q \)
D. a-s, b-r, c-q, d-p
Subject: Physics
Positronium is converted into
A. 2 Photons each of energy \( 0.51 \mathrm{MeV} \)
B. 1 Photon of energy 1.02 MeV
C. 2 Photons each of energy 1.02MeV
D. 1 Photon of energy \( 0.51 \mathrm{MeV} \)
Subject: Maths
Is the following pair of sets equal? Give
reasons.
\( A=\{2,3\}, B=\{x: x \) is a solution of
\( \left.\boldsymbol{x}^{2}+\mathbf{5} \boldsymbol{x}+\boldsymbol{6}=\mathbf{0}\right\} \)
A. True
B. False
Subject: Physics
Moment of inertia of a disc about the
tangent parallel to its plane is \( I \). The moment of inertia of the disc tangent and perpendicular to its plane is
\( ^{\mathrm{A}} \cdot \frac{3 I}{4} \)
в. \( \frac{3 I}{2} \)
c. \( \frac{5 I}{6} \)
D. \( \frac{6 I}{5} \)
Subject: Maths
The value of \( \sin 20^{\circ} \cdot \sin 40^{\circ} \cdot \sin 80^{\circ} \) is
A. \( \frac{\sqrt{3}}{8} \)
B. \( \frac{1}{8} \)
c. \( \frac{1}{16} \)
D. None of these
Subject: Chemistry
Assertion
Spectator ions are the species that are present in the solution but do not take
part in the reaction.
Reason
The phenomenon of formation of \( \boldsymbol{H}_{2} \boldsymbol{O}_{2} \)
by the oxidation of \( H_{2} O \) is known as auto-oxidation.
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 amount of work done by the gas system in increasing the volume of 10 mols of an ideal gas from one litre to 20
litres at \( 0^{0} \) C will be
A . zero
B. 3.49 Joule
c. \( 3.49 \times 10^{4} \)
D. 6.79 \( \times 10^{4} \) Joule
Subject: Physics
In the potentiometer arrangement
shown, the driving cell D has emf E and
internal resistance r. The cell C, whose
emf is to be measured, has emf E/2 and
internal resistance 2r. The
potentiometer wire is \( 100 \mathrm{cm} \) long. If balance is obtained, the length \( \boldsymbol{A} \boldsymbol{J}=\boldsymbol{l} \)
This question has multiple correct options
\( \mathbf{A} \cdot l=50 \mathrm{cm} \)
\( \mathrm{B}, \quad \mid>50 \mathrm{cm} \)
C. balance will be obtained only if resistance of AB is \( >r \)
D. balance cannot be obtained
Subject: Physics
Assertion
In case of a projectile, the angle
between velocity and acceleration changes from point to point.
Reason
Because its horizontal component of
velocity remains constant, while vertical component of velocity changes from point to point due to gravitational acceleration.
A. Both Assertion and Reason are true and the Reason is correct explanation of the Assertion.
B. Both Assertion and Reason are true, but Reason is not correct explanation of the Assertion.
c. Assertion is true, but the Reason is false
D. Assertion is false, but the Reason is true.
Subject: Maths
\( n(A)=m \) and \( n(B)=n ; \) then
\( A \cdot n(A)+n(B)=n(A+B) \)
B. \( n(A)-n(B)=n(A+B) \)
C. \( A \times B=m n \)
\( D \cdot n(A) \times n(B=n(A \times B) \)
Subject: Chemistry
When water is added to \( H_{2} S O_{4}, \) the
reaction is exothermic. It is because of
formation of:
A. viscous nature of \( H_{2} S O_{4} \)
B. hydrates of \( H_{2} S O_{4} \)
c. corrosive nature of \( H_{2} S O_{4} \)
D. none of the above
Subject: Physics
A mass of \( M \) at rest is broken into two
pieces having masses \( m \) and \( (M-m) \)
The two masses are then separated by a distance. The gravitational force between them will be the maximum
when the ratio of the masses \( [m: \)
\( (M-m)] \) of the two parts is:
A . 1: 1
B. 1: 2
\( c \cdot 1: 3 \)
D. 1: 4
Subject: Physics
What force and weight act on a mass of
10.5kg being pulled by earth? Take \( g= \)
\( 10 m s^{-2} \)
A . 105 N, 10.5
B. 105 N, 105 N
c. \( 100 \mathrm{N}, 105 \mathrm{N} \)
D. 10.5 N, 10.5 N
Subject: Physics
A slide with an image \( 4 \mathrm{cm} \times 2 \mathrm{cm} \) is
placed at a distance of \( 10 \mathrm{cm} \) behind a converging lens and a clear image is formed on a screen \( 1.1 \mathrm{m} \) from the slide.
What is the size of the image on the
screen?
Subject: Physics
A block of mass \( 1 k g \) is free to move
along the \( X \) -axis. It is at rest and from
time \( t=0 \) onwards it is subjected to a
time-dependent force \( F(t) \) in the \( X \)
direction. The force \( F(t) \) varies with \( t \) as shown in figure. The kinetic energy of
the block at \( t=4 s \) is
A \( .1 . \)
B. \( 2 J \)
\( c .3 J \)
D. \( 0 . \)
Subject: Physics
The angle between the two vectors \( \vec{A}= \) \( \mathbf{3} \hat{\mathbf{i}}+\mathbf{4} \hat{\mathbf{j}}+\mathbf{5} \hat{\boldsymbol{k}} \) and \( \overrightarrow{\boldsymbol{B}}=\mathbf{3} \hat{\mathbf{i}}+\mathbf{4} \hat{\boldsymbol{j}}-\mathbf{5} \hat{\boldsymbol{k}} \) is :
A \( .60^{\circ} \)
B . \( 0^{\circ} \)
\( c .90^{\circ} \)
D. None of these
Subject: Maths
Let \( X \) be a set containing n elements.
Two subsets \( A \) and \( B \) of \( X \) are chosen
at random, the probability that \( \boldsymbol{A} \cup \) \( B=X \) is
A \( \cdot \frac{2 n}{2^{2 n}} \)
в. \( \frac{1}{2 n} C_{n} \)
\( \frac{c \cdot \frac{1 \cdot 3 \cdot 5 \cdot \ldots .(2 n-1)}{2^{n} n !}}{(2)} \)
D. \( \left(\frac{3}{4}\right)^{n} \)
Subject: Chemistry
The magnetic moment of \( \left[N i X_{4}\right]^{2-} \) ion
is found to be zero. Then the metal of the
complex ion is \( (X= \) monodentate anionic ligand ).
A \( \cdot s p^{3} \) hybridised
B \( \cdot s p d^{2} \) hybridised
c. \( d s p^{2} \) hybridised
D. \( d^{2}^{2} p \) hybridised
Subject: Biology
Choose the correct answer from the
alternatives given :
If the sequence of nitrogen bases of the coding strand of DNA in a transcription unit is: \( 5-A \) T \( G A A T G-3 \) the sequence of bases in its RNA
transcript would be
A. 5-AUGAAUG-3
B. 5-UACUUAC-3
c. 5 сАUUсАU 3
D. 5-GUAAGUA-3.
Subject: Chemistry
The conductivity of a saturated solution of \( A g_{3} P O_{4} \) is \( 9 \times 10^{-6} S m^{-1} \) and its
equivalent conductivity is \( 1.50 \times \) \( 10^{-4} S m^{2} \) equivalent \( ^{-1} . \) The \( K_{s p} \) of
\( A g_{3} P O_{4} \) is:
A \( \cdot 4.32 \times 10^{-18} \)
B. \( 1.8 \times 10^{-9} \)
c. \( 8.64 \times 10^{-13} \)
D. None of these
Subject: Maths
The performance of students in 1 st term
and 2 nd term is as given below. Draw a double bar graph choosing appropriate scale and answer the following:
Hindi Maths Subject: English
\( 1^{s t} t e r m: \) 1 67 72
\( 2^{n d} \) term:
70 65
In which subject, has the children improved their performance the most?
Subject: Chemistry
Assertion
Plastics are non-biodegradable.
Reason
As they cannot be decomposed by micro-organisms.
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
What are the units for the rate of the
reaction \( : \boldsymbol{A} \rightarrow \boldsymbol{B} \) ?
\( \mathbf{A} \cdot \) mol.lit\( ^{-1} \)
B. mol.lit" \( s e c^{-1} \)
c. mol.g\( ^{-1} \) sec\( ^{-1} \)
D. mol.kg \( ^{-1} \) sec \( ^{-1} \)
Subject: Physics
By rounding off,
(a) 20.96 and \( (b) \)
0.0003125 to three significant figures, we get
A \( \cdot 21.0 ; 312 \times 10^{-4} \)
B . \( 21.0 ; 3.125 \times 10^{-4} \)
c. \( 2.10 ; 3.12 \times 10^{-4} \)
D. \( 210 ; 3.12 \times 10^{-4} \)
Subject: Physics
In the nuclear reaction \( _{90} T h^{232} \rightarrow_{82} \)
\( P b^{208} . \) The number of \( \alpha \) and \( \beta \) particles
emitted are:
\( \mathbf{A} \cdot 1 \alpha, 4 \beta \)
B. \( 2 \alpha, 2 \beta \)
\( \mathbf{c} \cdot 6 \alpha, 4 \beta \)
D. \( 8 \alpha, 4 \beta \)
Subject: Physics
toppr
Q Type your question.
mirrors, then 5 images of the object will be formed.

Reason: For a given system of mirrors the total number of images formed due to successive reflection is equal to either \( \frac{360^{\circ}}{\theta} \) or \( \frac{360^{\circ}}{\theta}-1 \) accordingly as \( \frac{360^{\circ}}{\theta} \) is odd or even respectively.
A. If both Assertion 'and Reason are correct and Reason
is the correct explanation
B. If both Assertion and Reason are correct, but Reason is not the correct explanation of Assertion
c. If Assertion is correct but Reason is incorrect
D. If Assertion is incorrect but Reaso
Subject: Physics
A car is travelling with linear velocity \( \mathbf{v} \) on a circular road of radius R. If its
speed is increasing at the rate of a
\( \boldsymbol{m} / \boldsymbol{s}^{2}, \) then the net acceleration will be :
\( ^{\text {A }} \cdot \frac{v^{2}}{R}+a \)
в. \( \frac{v^{2}}{R}-a \)
Subject: Chemistry
During the working of the cell:
\( \boldsymbol{P b}- \)
\( \boldsymbol{H} \boldsymbol{g}(\mathbf{1} . \boldsymbol{0} \boldsymbol{M})\left|\boldsymbol{P} \boldsymbol{b}^{2+}(\boldsymbol{a} \boldsymbol{q})(\boldsymbol{1} \boldsymbol{M})\right| \boldsymbol{P} \boldsymbol{b}^{2+}(\boldsymbol{a} \boldsymbol{q})(\mathbf{1} \)
\( \boldsymbol{H} \boldsymbol{g}(\mathbf{0 . 5} \boldsymbol{M}) \)
This question has multiple correct options
\( \mathbf{A} \cdot\left[P b^{2+}\right] \) in right half cell decreases
B \( \cdot\left[P b^{2+}\right] \) in left half cell decreases
c. \( \left[P b^{2+}\right] \) does not change in either of the half cells
D. molarity of lead amalgam in right half cell increases while that of left half cell decreases
Subject: Physics
A charged particle enters into a uniform magnetic field with velocity vector at an
angle of \( 45^{\circ} \) with the magnetic field. The pitch of the helical path followed by the particle is \( p . \) The radius of the helix will
be
A \( \cdot \frac{p}{\sqrt{2} \pi} \)
B. \( \sqrt{2 p} \)
c. \( \frac{p}{2 \pi} \)
D. \( \frac{\sqrt{2 p}}{\pi} \)
Subject: Physics
A telephone cable at a place has four long straight horizontal wires carrying a current of \( 1.0 \mathrm{A} \) in the same direction
east to west. The earth's magnetic field at the place is \( 0.39 \mathrm{G}, \) and the angle of dip is 35 ?35 ? . The magnetic declination is nearly zero. What are the resultant magnetic fields at points \( 4.0 \mathrm{cm} \) below the cable?
Subject: Physics
If the distance between nuclei is \( 2 \times \)
\( 10^{-13} \mathrm{cm}, \) the density of nuclear
material is
A \( .3 .21 \times 10^{-12} k g / m^{3} \)
B . \( 1.6 \times 10^{-3} \mathrm{kg} / \mathrm{m}^{3} \)
c. \( 2 \times 10^{9} k g / m^{3} \)
D. \( 1 \times 10^{17} k g / m^{3} \)
Subject: Maths
Find which of the function are one-one
,onto, many-one,one-many. Justify your
answer
\( \boldsymbol{f}=\{(1, \mathbf{3}),(\mathbf{2}, \mathbf{6}),(\mathbf{3}, \mathbf{9}),(\mathbf{4}, \mathbf{1 2})\} \) define
from \( A \) and \( B \) where
\( \boldsymbol{A}=\{\mathbf{1}, \mathbf{2}, \mathbf{3}, \mathbf{4}\} \boldsymbol{B}=\{\mathbf{3}, \mathbf{6}, \mathbf{9}, \mathbf{1 2}, \mathbf{1 5}\} \)
Subject: Maths
PQRS is a isosceles trapezium with
\( \boldsymbol{P Q} \| \boldsymbol{R S}, \) if \( \mathrm{P}=\mathbf{6 0}, \) then \( \mathrm{Q} \) equals to
A . 120
B . 30
\( c .60 \)
D. 150
Subject: Chemistry
Given that in the H-atom the transition
energy for \( n=1 \) to \( n=2, \) Rydberg
states in \( 10.2 \mathrm{eV} \). The energy for the
same transition in \( B e^{3+} \) is:
A. 20.4 ev
B. 163.2 eV
c. 30.6 ev
D. 40.8 ev
Subject: Maths
If \( z_{1} \) and \( z_{2} \) are \( z \) co-ordinates of the
points of trisection of the segment joining the points \( \boldsymbol{A}(\mathbf{2}, \mathbf{1}, \mathbf{4}), \boldsymbol{B}(-\mathbf{1}, \mathbf{3}, \mathbf{6}) \)
then \( z_{1}+z_{2}= \)
A . 1
B. 4
\( c .5 \)
D. 10
Subject: Maths
A committee of three persons is to be randomly selected from a group of three
men and two women and the chair
person will be randomly selected from the committee.The probability that the
committee will have exactly two women and one man, and that the chair person
will be a women, is / are
A \( \cdot \frac{1}{5} \)
B. \( \frac{8}{15} \)
\( c \cdot \frac{2}{3} \)
D. \( \frac{3}{10} \)
Subject: Maths
If \( \boldsymbol{y}=\left(\tan ^{-1} \boldsymbol{x}\right)^{2} \)
S.T \( \left(\boldsymbol{x}^{2}+\mathbf{1}\right)^{2} \boldsymbol{y}_{2}+\boldsymbol{2} \boldsymbol{x}\left(\boldsymbol{x}^{2}+\mathbf{1}\right) \boldsymbol{y}_{1}=\mathbf{2} \)
Subject: Physics
A Truth table is given below. The logic gate having following truth table is
\( A \quad B \quad Y \)
\( \begin{array}{lll}0 & 1 & 1\end{array} \)
\( 0 \quad 0 \)
\( 0 \quad 1 \quad 0 \)
10
A. NAND gate
B. NOR gate
c. AND gate
D. OR gate
Subject: Physics
In a heat engine, the temperature of the source and sink are \( 500 \mathrm{K} \) and \( 375 \mathrm{K} \). If
the engine consumes \( 25 \times 10^{5} \) per
cycle, the work is done per cycle is:
A \( \cdot 6.25 \times 10^{5} J \)
В. \( 3 \times 10^{5} \mathrm{J} \)
c. \( 2.9 \times 10^{5} J \)
D. \( 4 \times 10^{4} J \)
Subject: Physics
A slit of width a is illuminated by the
red light of wavelength \( 6500 A^{0} . \) If the
first minimum falls at \( \theta=30^{\circ}, \) the value
of a is
A \( \cdot 6.5 \times 10^{-4} m m \)
B. 1.3 micron
c. \( 3250 A^{\circ} \)
D. \( 2.6 \times 10^{-4} \mathrm{cm} \)
Subject: Physics
Assertion (A) : A wheel may be rotated
with uniform angular velocity even though the tangential forces are applied
on it.
Reason (R) : Angular acceleration of wheel is zero when tangential force and frictional force produce torques equal in magnitude and opposite in direction
A. Both A and R are true and R is correct explanation of A
B. Both A and R are true and R is not correct explanation of A
C. A is true and R is false
D. A is false and R is true
Subject: Physics
An airtight box, having a lid of area
\( 80 c m^{2}, \) is partially evacuated (i.e., has low pressure than outside atmosphere)
Atmosphere pressure is \( 1.01 \times 10^{5} P a \)
A force of \( 600 N \) is required to pull the
lid off the box. What was the pressure in
the box?
Subject: Maths
Find the area bounded by the curves \( \boldsymbol{x}=\boldsymbol{a} \cos \boldsymbol{t}, \boldsymbol{y}=\boldsymbol{b} \sin t \) in the first
quadrant
A \( \cdot \frac{\pi a b}{4} \)
B. \( \frac{\pi a^{2} b}{4} \)
c. None of these
D. \( \frac{\pi a b^{2}}{4} \)
Subject: Maths
Let \( \boldsymbol{f}(\boldsymbol{x})=\sqrt{\mathbf{2} \boldsymbol{x}+\mathbf{1}} \) and let \( \boldsymbol{c} \) be the
number that satisfies the Mean value
theorem for \( f \) on the interval [4,12]
What is \( c \) ?
\( \mathbf{A} \cdot \mathbf{0} \)
в. 1.5
\( c \cdot 4 \)
D. 7.5
Subject: Chemistry
Assertion
Van't Hoff factor for solute showing
dissociation is always greater than for solute showing association.
Reason
Dissociation leads to increase in
number of particles whereas,
association leads to a decrease in
number of particles.
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: Maths
Differentiate with respect to \( x: e^{(5 x+2)} \)
\( A \cdot 5 e^{5 x+2} \)
B. \( 10 e^{5 x+2} \)
\( \mathbf{c} \cdot 25 e^{5 x+2} \)
D. \( e^{5 x+2} \)
Subject: Physics
Assertion
A current carrying conductor experiences a force in a magnetic field.
Reason
The net charge on a current carrying
conductor is zero.
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
Certain sun glasses having small crystals of \( A g C l \) incorporated in the
lenses, on exposure to light of
appropriate wavelength turns to grey colour to reduce the glare following the reaction:
\( \boldsymbol{A} \boldsymbol{g} \boldsymbol{C l} \stackrel{\boldsymbol{h} \boldsymbol{v}}{\rightarrow} \underset{(\boldsymbol{G} \boldsymbol{r} \boldsymbol{e} \boldsymbol{y})}{\boldsymbol{A} \boldsymbol{g}}+\boldsymbol{C l} \)
If the heat of reaction for the
decomposition of \( A g C l \) is \( 248 k J m o l^{-1} \) what maximum wavelength is needed to induce the desired process?
A \( \cdot 4.83 \times 10^{-4} \mathrm{m} \)
в. \( 9.6 \times 10^{-7} m \)
c. \( 6 \times 10^{-7} m \)
D. \( 4.83 \times 10^{-7} \mathrm{m} \)
Subject: Chemistry
Assertion: Oxygen is more
electronegative than sulphur, yet \( \boldsymbol{H}_{2} \boldsymbol{S} \)
is acidic, while \( H_{2} O \) is neutral

Reason: H-S bond is weaker than 0-H
bond.
\( A \). if (A) is true, (R) is true and (R) is correct explanation
(A)
B. if both (A) and (R) are true but (R) is not correct explanation of (A)
\( \mathrm{c} \). if (A) is true but (R) is false
D. if (A) is false and (R) is true
Subject: Maths
The circle and the square have the
same center and the same area. If the
circle has radius \( 1, \) the length of \( A B \) is
A \( .4-7 \)
B . \( 4-2 \sqrt{\pi} \)
\( c \cdot 2-\sqrt{\pi} \)
D. \( \sqrt{4-\pi} \)
Subject: Chemistry
The equilibrium constant of the
\[
\text { reaction } 2 C_{3} H_{6}(g) \rightleftharpoons C_{2} H_{4}(g)+
\]
\( C_{4} H_{8}(g) \) is found to fit the expression:
\[
\ln K=-1.04-\frac{1088}{T}
\]
Calculate the standard reaction
enthalpy and entropy at \( 400 \mathrm{K} \)
A \( \cdot \Delta H^{o}=4.5 k J / m o l ; \Delta S^{o}=4.32 J / m o l^{1} K^{1} \)
В . \( \Delta H^{o}=9.04 k J / m o l ; \Delta S^{o}=-8.64 J / m o l^{1} K^{1} \)
C . \( \Delta H^{o}=18.08 k J / \) mol; \( \Delta S^{o}=17.28 J / \) mol \( ^{1} K^{1} \)
D. None of these
Subject: Physics
A single conservative force \( F(x) \) acts on a \( 1.0 k g \) particle that moves along the \( x- \) axis.The potential energy U(x) is given
by \( U(x)=20+(x-2)^{2} \) where \( x \) is in
meters.At \( x=5.0 m, \) the particle has a
kinetic energy of 20 J. What is the
mechanical energy of the system?
Subject: Maths
If \( \bar{X} \) is the mean of \( x_{1}, x_{2}, x_{3}, \dots, x_{n} \)
Then, the algebraic sum of the deviations about mean \( \bar{X} \) is
A. 0
в. \( \frac{\bar{X}}{n} \)
\( c \cdot n \bar{X} \)
D. none of these
Subject: Physics
A uniform magnetic field of 5000 gauss is established along the positive zdirection. A rectangular loop of side \( 20 \mathrm{cm} \) and \( 5 \mathrm{cm} \) carries a current of
\( 10 A \) is suspended in this magnetic
field. What is the torque on the loop in the different cases shown in the
following figures? What is the force in
each case? Which case corresponds to stable equilibrium?
Subject: Physics
A reaction time for an automobile driver
is 0.7 sec. If the automobile can be
declared at \( 5 ~ m / s^{2} \) calculate the total distance travelled in coming to stop from an initial velocity of \( 8.33 m / s \) after a signal is observed.
A . \( 12.77 m \)
в. \( 14.82 m \)
\( c .16 .83 m \)
D. \( 19.65 m \)