AkshitPareek2004/jee-question-analyzer-data huggingface dataset:
Subject: Chemistry
What would be the freezing point of a
solution that has 684 grams of sucrose
\( (1 \mathrm{mol}=342 \mathrm{g}) \) dissolved in 2,000
grams of water (1 mole= 18 grams)?
B. \( -0.93^{\circ} \mathrm{C} \) or \( 272.07 \mathrm{K} \)
\( \mathbf{c} .-1.39^{\circ} \mathrm{C} \) or \( 271.61 \mathrm{K} \)
D. \( -2.48^{\circ} \mathrm{C} \) or \( 270.52 \mathrm{K} \)
E. \( -3.72^{\circ} \mathrm{C} \) or \( 269.28 \mathrm{S} \)
Subject: Physics
A thin copper wire of length \( 100 \mathrm{m} \) is wound as a solenoid of length \( l \) and radius \( r . \) Its self-inductance is
found to be L. Now if the same length of wire is wound as a solenoid of length \( l \)
but of radius \( r / 2, \) then its self-
inductance will be :
A . \( 4 L \)
B. 2L
\( c \cdot L \)
D. L/2
Subject: Physics
Two small spheres have mass \( m_{1} \) and
\( m_{2} \) and hanging from massless
insulating threads of lengths \( l_{1} \) and \( l_{2} \)
Two spheres carry charges \( \boldsymbol{q}_{1} \) and \( \boldsymbol{q}_{2} \)
respectively. The spheres hang such that they are on the same horizontal
level and the threads are inclined to the
vertical at angle \( \theta_{1} \) and \( \theta_{2} \) respectively
If \( F_{1}=F_{2}, \) then:
A \( \cdot \theta_{1}=\theta_{2} \)
в. \( M_{1}=M_{2} \)
c. \( \frac{l_{1}}{\tan \theta_{1}}=\frac{l_{2}}{\tan \theta_{2}} \)
\( \frac{q_{1}}{\tan \theta_{1}}=\frac{q_{2}}{\tan \theta_{2}} \)
Subject: Chemistry
What is the activation energy of a
reaction if its rate doubles when
temperatures is raised from \( 20^{\circ} \mathrm{C} \) to \( 35^{\circ} \)
\( \mathrm{C} ?\left(\mathrm{R}=8.314 \mathrm{JK}^{-1} \mathrm{mol}^{-1}\right) \)
A. 34.7 k) \( m o l^{-1} \)
-
B. \( 15.1 \mathrm{kJ} \mathrm{mol}^{-1} \)
c. 342 k) \( m o l^{-1} \)
D. 269 ks \( m o l^{-1} \)
Subject: Chemistry
Account for the following:
(i) \( B i(V) \) is a stronger oxidizing agent
\( \operatorname{than} \boldsymbol{S b}(\boldsymbol{V}) \)
(ii) \( N-N \) single bond is weaker than
\( \boldsymbol{P}-\boldsymbol{P} \operatorname{single} \) bond
(iii) Noble gases have very low boiling points.
Subject: Physics
It is found that a body on an inclined plane just starts sliding down if inclination is \( \sin ^{-1}(3 / 5), \) then the angle of repose (friction) is
This question has multiple correct options
A \( \cdot \sin ^{-1} 3 / 5 \)
B \( \cdot \sin ^{-1} 3 / 4 \)
c. \( \tan ^{-1} 3 / 5 \)
\( \mathbf{D} \cdot \tan ^{-1} 3 / 4 \)
Subject: Physics
Determine the volume contraction of a
solid copper cube, \( 10 \mathrm{cm} \) on an edge,
when subject to a hydraulic pressure of \( \mathbf{7} \times \mathbf{1 0}^{\mathbf{6}} \) Pa. \( \boldsymbol{K} \) for copper \( =\mathbf{1 4 0} \times \mathbf{1 0}^{\mathbf{9}} \)
\( P a \)
Subject: Physics
The M.I of a thin rod of length \( l \) about
the perpendicular axis trough its center
is \( I_{0} . \) The M.I of the square structure
made by four such rods about a perpendicular axis to the the plane and through the center will be :-
A \( .4 I_{0} \)
в. \( \frac{8}{3} I_{0} \)
c. \( \frac{4}{3} I_{0} \)
D. \( 6 I_{0} \)
Subject: Chemistry
The molecules of which of the following gas have higher speed?
A . Hydrogen at \( -50^{\circ} \mathrm{C} \)
B. Methane at \( 298 K \)
c. Nitrogen at \( 1000^{\circ} \mathrm{C} \)
D. Oxygen at \( 0^{\circ} \mathrm{C} \)
Subject: Physics
Assertion
Farther the image greater is the
magnification.
Reason
Magnification is equal to the ratio of the
distance of the object and that of the
image.
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
Which of the following halides cannot be hydrolyzed?
(I) \( \boldsymbol{T} \boldsymbol{e} \boldsymbol{F}_{6},(\|) \boldsymbol{S} \boldsymbol{F}_{6} \)
(III) \( N C l_{3}, \) and \( (I V) \)
\( N F_{3} \)
\( \mathbf{A} \cdot\|\| \) and \( I \mathbf{V} \)
B. I, II and III
c. ।, ॥ and IV
D. II and IV
Subject: Physics
The condition for a uniform spherical mass \( m \) of radius \( r \) to be a black hole is
\( :[G=\text { gravitational constant and } g= \)
acceleration due to gravity].
\( ^{\mathrm{A}}\left(\frac{2 G m}{r}\right)^{1 / 2} \leq c \)
\( ^{\mathrm{B}}\left(\frac{2 g m}{r}\right)^{1 / 2}=c \)
\( \left(\frac{2 G m}{r}\right)^{1 / 2} \geq c \)
\( ^{\mathrm{D}}\left(\frac{g m}{r}\right)^{1 / 2} \geq c \)
Subject: Physics
The flow of blood in a large artery of an anesthetised dog is diverted through a venturi meter. The wider part of the
meter has a cross-sectional area equal
to that of the artery \( A=8 m m^{2} \). The
narrower part has an area \( a=4 m m^{2} \)
The pressure drop in the artery is 24 Pa. What is the speed of blood in the artery?
Density of blood is \( 1.06 \times 10^{3} k g / m^{3} \)
A . \( 13.5 \times 10^{-2} \mathrm{ms}^{-1} \)
B . \( 12.5 \times 10^{-2} \mathrm{ms}^{-1} \)
C \( .26 .5 \times 10^{-3} \mathrm{ms}^{-1} \)
D . \( 32.5 \times 10^{-} \mathrm{ms}^{-1} \)
Subject: Physics
Assertion
NAND or NOR gates are called digital
building blocks.
Reason
The repeated use of NAND (or NOR) gates can produce all the basis or complicated gates.
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
\( \boldsymbol{C H}_{4}+\boldsymbol{O}_{2} \rightarrow \boldsymbol{C O}_{2}+\boldsymbol{H}_{2} \boldsymbol{O} \) is:
A. combustion reaction
B. redox Reaction
c. both \( A \) and \( B \)
D. none of the above
Subject: Maths
If \( A_{2 \times 3}, B_{4 \times 3}, C_{2 \times 4} \) are three matrices,
then which of the following is/are defined ?
A \( . A C^{T} B \)
B . \( B^{T} C^{T} A \)
\( \mathbf{c} \cdot A B^{T} C \)
D. All of these
Subject: Chemistry
In acid medium, the standard reduction
potential of \( N O \) converted to \( N_{2} O \) is
\( \mathbf{1 . 5 9} \boldsymbol{V} \). Its standard potential in alkaline
medium would be:
A. \( -1.59 V \)
В. \( -0.764 V \)
c. \( 0.764 V \)
D. \( 0.062 V \)
Subject: Chemistry
consider the following species, when
attached to \( s p^{3} \) hybridized carbon, their
leaving group ability in nucleophilic substitution reactions decreases in the
order.
(I) \( C F_{3}-\underbrace{S}_{\|}^{O}-O^{\ominus} \)
\( (\|) C_{6} H_{5}-\prod_{\| \atop O}^{O}-O^{\ominus} \)
\( (\| I) C_{6} H_{5}-O^{\ominus} \)
\( O \)
\( (I V) C H_{3}-C^{\|}-O^{\ominus} \)
Subject: Maths
Let \( a=2 i-j+k, b=i+2 j-k \) and
\( c=i+j-2 k \) be three vectors. A vector
in the plane of \( b \) and \( c \) whose projection on \( a \) is of magnitude \( \sqrt{\frac{2}{3}} \) is This question has multiple correct options
A. \( 2 i+3 j-3 k \)
B. \( 2 i+3 j+3 k \)
c. \( 2 i-j+5 k \)
\( \mathbf{D} \cdot 2 i+j+5 k \)
Subject: Chemistry
Assertion
2-butyne on controlled hydrogenation
with \( P d / C a C O_{3} \) in presence of \( P b O \)
gives cis- \( 2- \) butene
Reason
Hydrogenation occur at the surfaces of
metal containing adsorbed hydrogen.
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
A thin wire of length \( L \) and uniform
linear mass density \( \rho \) is bent into a
circular loop with center \( 0 . \) The moment of inertia of the loop about the axis
which is tangent to this loop is:
This question has multiple correct options
A \( \cdot \frac{\rho L^{3}}{8 \pi^{2}} \)
B. \( \frac{\rho L^{3}}{16 \pi^{2}} \)
\( \mathbf{c} \cdot \frac{5 \rho L^{3}}{16 \pi^{2}} \)
D. \( \frac{3 \rho L^{3}}{8 \pi^{2}} \)
Subject: Chemistry
Assertion
Bond order for both \( N O^{+} \) and \( N O^{-} \) is
\( \mathbf{2 . 5} \)
Reason
\( N O^{+} \) is more stable than \( N O^{-} \)
Read the above assertion and reason and choose the correct option regarding
it.
A. Assertion is true, Reason is true and Reason is correct explanation for Assertion
B. Assertion is true, Reason is true and Reason is NOT the correct explanation for Assertion
c. Assertion is true, Reason is false
D. Assertion is false, Reason is true
Subject: Maths
For the equation \( \boldsymbol{x}^{2}-(\boldsymbol{k}+\mathbf{1}) \boldsymbol{x}+\left(\boldsymbol{k}^{2}+\right. \)
\( k-8)=0 \) if one root is greater then 2
and other is less than 2 , then \( k \) lies
between
A . \( -2 \& 3 \)
B. 2 \& - 2
c. \( 2 \&-3 \)
D. None of these
Subject: Physics
Two holes of unequal diameters \( d_{1} \) and
\( \boldsymbol{d}_{2}\left(\boldsymbol{d}_{1}>\boldsymbol{d}_{2}\right) \) are cut in a metal sheet. If
the sheet is heated
A. both \( d_{1} \) and \( d_{2} \) will decrease
B. both \( d_{1} \) and \( d_{2} \) will increase
c. \( d_{1} \) will increase, \( d_{2} \) will decrease
D. \( d_{1} \) will decrease, \( d_{2} \) will increase
Subject: Chemistry
In which of the following process
\( \Delta H \) and \( \Delta U \) are of same magnitude
A. evaporation of \( C C l_{4}(l) \)
B. \( C a C O_{3}(s) \longrightarrow C a O(s)+C O_{2}(g) \)
c. \( N H_{4} C l(s) \longrightarrow N H_{4} C l(g) \)
D. \( 2 H I(g) \quad \longrightarrow H_{2}(g)+I_{2}(g) \)
Subject: Physics
A disc of moment of inertia \( ^{\prime} I_{1}^{\prime} \) is rotating in horizontal plane about an axis passing through a centre and perpendicular to its plane with constant
angular speed ' \( \omega_{1}^{\prime} \). Another disc of
moment of inertia \( ^{\prime} I_{2}^{\prime} \) having zero angular speed is placed coaxially on a rotating disc. Now both the discs are rotating with constant angular speed
\( \omega_{2}^{\prime} . \) The energy lost by the initial rotating disc is
\( ^{A} \cdot \frac{1}{2}\left[\frac{I_{1}+I_{2}}{I_{1} I_{2}}\right] \omega_{1}^{2} \)
в. \( \frac{1}{2}\left[\frac{I_{1} I_{2}}{I_{1}-I_{2}}\right] \omega_{1}^{2} \)
c. \( \frac{1}{2}\left[\frac{I_{1}-I_{2}}{I_{1} I_{2}}\right] \omega_{1}^{2} \)
D. \( \frac{1}{2}\left[\frac{I_{1} I_{2}}{I_{1}+I_{2}}\right] \omega_{1}^{2} \)
Subject: Physics
The area of cross-section of the wider
tube show in figure is \( 800 \mathrm{cm}^{2} . \) If a
mass of \( 12 k g \) is placed on the massless
piston, the difference in heights \( h \) in the
level of water in the two tubes is:
\( \mathbf{A} \cdot 10 \mathrm{cm} \)
B. \( 6 \mathrm{cm} \)
\( c \cdot 15 c m \)
\( \mathbf{D} \cdot 2 c m \)
Subject: Physics
The components used in Rutherford's
experiment:
\( \mathbf{A} \cdot \beta \) -particles, which impinged on a metal foil and got absorbed
B. \( \gamma \) -rays, which impinged on a metal foil and ejected electrons
C. helium atoms, which impinged on a metal foil and got scattered
D. helium nuclei, which impinged on a metal foil and got scattered
Subject: Physics
An \( n-p-n \) transistor has three leads
\( A, B \) and \( C . \) Connecting \( B \) and \( C \) by
moist fingers, \( A \) to the positive lead of
an ammeter, and \( C \) to the negative lead
of the ammeter, one finds large
deflection. Then, \( A, B \) and \( C \) refer
respectively to :
A. Emitter, base and collector
B. Base, emitter and collector
c. Base, collector and emitter
D. collector, emitter and base
Subject: Physics
In a circuit \( \mathrm{L}, \mathrm{C} \) and \( \mathrm{R} \) are connected in series with an alternating voltage source of frequency f. The current leads
the voltage by \( 45^{\circ} . \) The value of \( \mathrm{C} \) is
A. \( \frac{1}{2 \pi f(2 \pi f L-R)} \)
в. \( \frac{1}{2 \pi f(2 \pi f L+R)} \)
c. \( \frac{1}{\pi f(2 \pi f L-R)} \)
D. \( \frac{1}{\pi f(2 \pi f L+R)} \)
Subject: Maths
If one of the diagonals of a square is
along the line \( x=2 y \) and one of its
vertices is \( (3,0), \) then its sides through
this vertex are given by the equations
A. \( y-3 x+9=0,3 y+x-3=0 \)
в. \( y-3 x-9=0,3 y+x-3=0 \)
c. \( y-3 x+9=0,3 y-x+3=0 \)
D. \( y-3 x+3=0,3 y+x+9=0 \)
Subject: Physics
A particle starts moving from point \( (2, \)
10,1)\( . \) Displacement for the particle is 8 \( \hat{\mathbf{i}}-2 \hat{\mathbf{j}}+\hat{\boldsymbol{k}} . \) The final coordinates of the
particle is
A. (10,8,2)
)
в. (8,10,2)
\( c \cdot(2,10,8) \)
D. (8,2,10)
Subject: Chemistry
Match column 'A' with column'B' as
regard to characteristics of a flame and
its zones.
'A'
1. Hottest part (No
a. Dark inner zone
Blue zone
2. Partial decomposition
b.
3. Unburnt vapours of c. Luminous zone
d. Non-luminous
zone
4. Complete combustion
\( A \cdot a-1, b-2, c-3, d-4 \)
B. \( a-2, b-3, c-4, d-1 \)
\( c \cdot a-3, b-4, c-2, d-1 \)
\( D \cdot a-4, b-1, c-2, d-3 \)
Subject: Physics
A \( 120 \mathrm{m} \) long train is moving towards west at a speed of \( 10 m s^{-1} \). A small bird
flying towards east at a speed of \( 5 m s^{-1} \)
crosses the train. What is time taken by
the bird to cross the train?
A \( .4 \mathrm{s} \)
B. 8 s
\( c \cdot 12 s \)
D. 24 s
Subject: Maths
f \( p, q \) and \( r \) in \( A P \), then prove that \( (p+ \) \( \mathbf{2} \boldsymbol{q}-\boldsymbol{r})(\boldsymbol{2} \boldsymbol{q}+\boldsymbol{r}-\boldsymbol{p})(\boldsymbol{r}+\boldsymbol{p}-\boldsymbol{q})=\boldsymbol{4} \boldsymbol{p} \boldsymbol{q} \boldsymbol{r} \)
Subject: Physics
A ship \( A \) is moving westward with a speed of \( 10 k m h^{-1} \) and a ship \( B 100 k m \) south of \( A \) is moving northwards with a speed of \( 10 \mathrm{km} \mathrm{h}^{-1} \) The time after which the distance
between them becomes shortest is:
A. \( 5 \sqrt{2} h \)
hon
В. \( 10 \sqrt{2} h \)
\( c \cdot 1 h \)
D. \( 5 h \)
Subject: Chemistry
If \( \Delta G^{o} \) for the reaction given below is
\( 1.7 k J ; \) the equilibrium constant of the reaction,
\( 2 H I(g) \rightleftharpoons H_{2}(g)+I_{2}(g) \) at \( 25^{\circ} C, \) is:
A . 0.5
B . 2.
\( c .3 .9 \)
D. 24.0
Subject: Chemistry
Among the following hydroxides, the one
which has the lowest value of \( \boldsymbol{K}_{s p} \) at
ordinary temperature (about \( 25^{\circ} C \) ) is:
\( \mathbf{A} \cdot M g(O H)_{2} \)
\( \mathbf{B} \cdot C a(O H)_{2} \)
\( \mathbf{c} \cdot B a(O H)_{2} \)
D. \( B e(O H)_{2} \)
Subject: Physics
The equation of a wave is given by \( \boldsymbol{Y}= \) \( 5 \sin 10 \pi(t-0.01 x) \) along the \( x \) -axis.
(All the quantities are expressed in \( \mathrm{S} \) ) units \( \} . \) The phase difference the points separated by a distance of \( 10 \mathrm{m} \) along \( \mathrm{x} \) axis is
A \( \cdot \frac{\pi}{2} \)
в. \( \pi \)
\( c \cdot 2 \pi \)
D. \( \frac{\pi}{4} \)
Subject: Physics
A thin lens of focal length f has a diameter d of its aperture and forms an image of intensity I. Now the central part of the aperture up to a diameter \( \frac{\boldsymbol{d}}{\mathbf{2}} \) is blocked by white paper. Then This question has multiple correct options
A the focal length changes to \( \frac{f}{2} \)
B. the focal length remains the same as \( f \)
c. the intensity of the image changes to \( \frac{3 I}{4} \)
D. the intensity of the image changes to \( \frac{I}{4} \)
Subject: Chemistry
Q Type your question
corresponding to some points in the
figure are:
\( \boldsymbol{P}_{\boldsymbol{A}}=\mathbf{3} \times \mathbf{1 0}^{\mathbf{4}} \boldsymbol{P a} \)
\( \boldsymbol{V}_{\boldsymbol{A}}=\boldsymbol{2} \times \mathbf{1 0}^{-\mathbf{3}} \boldsymbol{m}^{-3} \)
\( \boldsymbol{P}_{\boldsymbol{B}}=\boldsymbol{8} \times 10^{4} \boldsymbol{P} \boldsymbol{a} \)
\( V_{C}=5 \times 10^{-3} m^{-3} \)
In the process \( A B, 600 J \) of heat is added
to the system and in process BC, 200 J of
heat is added to the system. The change
in internal energy of the system in
process AC would be
A. 560
B. 800J
c. 600 J
D. 640
Subject: Maths
Find the cosine of the angle \( A \) of the
triangle with vertices \( \boldsymbol{A}(\mathbf{1},-\mathbf{1}), \boldsymbol{B}(\boldsymbol{6}, \mathbf{1 1}) \) and \( \boldsymbol{C}(\mathbf{1}, \boldsymbol{2}) \)
Subject: Physics
A coil of area \( 2 m^{2} \) and resistance \( 4 \Omega \) is
placed perpendicular to a uniform
magnetic field of 4 T. The loop is rotated
by \( 90^{\circ} \) in 0.1 second. Choose the correct
options This question has multiple correct options
A. Average induced emf in the coil is \( 8 V \)
B. Average induced current in the circuit is \( 20 A \)
c. \( 2 C \) charge will flow in the coil in above period
D. Heat produced in the coil in the above period can be determined from the given data
Subject: Chemistry
Find the value of wave number \( \bar{v} \) in
terms of Rydberg's constant, when transition of electron takes place between two levels of \( H e^{+} \) ion whose
sum is 4 and difference is 2
\( ^{A} \cdot \frac{8 R}{9} \)
в. \( \frac{32 R}{9} \)
c. \( \frac{3 R}{4} \)
D. None of these
Subject: Maths
If \( z=\cos \frac{\pi}{6}+i \sin \frac{\pi}{6}, \) then
A \( \cdot|z|=1, \arg z=\frac{\pi}{4} \)
в \( \cdot|z|=1, \arg z=\frac{\pi}{6} \)
с. \( \quad|z|=\frac{\sqrt{3}}{2}, \arg z=\frac{5 \pi}{24} \)
D. \( \quad|z|=\frac{\sqrt{3}}{2}, \arg z=\tan ^{-1} \frac{1}{\sqrt{2}} \)
Subject: Chemistry
During the oxidation of arsenite ion, \( A s O_{3}^{3-}, \) to arsenate ion, \( A s O_{4}^{3-}, \) in alkaline medium, the number of moles of hydroxide ions consumed per mole of arsenite ion is
\( A \cdot 2 \)
B. 3
\( c \cdot 2 / 3 \)
D. 3/2
Subject: Maths
If \( \boldsymbol{x} \epsilon \boldsymbol{R}, \) the numbers \( \boldsymbol{2}^{1+\boldsymbol{x}}+ \)
\( 2^{1-x}, \frac{b}{2}, 36^{x}+36^{-x} \) form an A.P., then
must lie in the interval
\( \mathbf{A} \cdot[12, \infty) \)
B. \( [6, \infty) \)
\( c \cdot(-\infty, 6] \)
\( \mathbf{D} \cdot[6,12] \)
Subject: Physics
An electron of kinetic energy \( \boldsymbol{E}_{\mathbf{0}} \) is scattered by an atomic hydrogen sample in ground state. The minimum
value of \( E_{0}, \) so that a photon of
wavelength 656.3 nm may be emitted
by \( \boldsymbol{H}- \) atom is :
A. 12.09 eV
в. 13.6 eV
c. \( 14.6 e V \)
D. none of these
Subject: Chemistry
Example for a coordination compound is
\( \mathbf{A} \cdot K C l . M g C l_{2} .6 H_{2} O \)
B \( \cdot K_{2} S O_{4} A l_{2}\left(S O_{3}\right) 24 H_{2} O \)
\( \mathbf{c} \cdot \operatorname{CoCl}_{3} \cdot 6 N H_{3} \)
D. \( F e S O_{4} .\left(N H_{4}\right)_{2} S O_{4} .6 H_{2} O \)
Subject: Physics
Based on the figure above, identify the correct statement(s) from the following
This question has multiple correct options
A. At sealevel, the mercury inside the tube stands upto \( 76 \mathrm{cm} \)
B. The pressure exerted inside a liquid is same at all points along the horizontal plane
c. The vertical height of the liquid column is independent of the shape and size of the tube
D. The height of barometric liquid column is independent of nature of liquid used
Subject: Physics
The first diffraction minima due to a
single slit diffraction is at \( \theta=30^{\circ} \) for a
light of wavelength 5000 A. The width of the slit is:
\( \mathbf{A} \cdot 5 \times 10^{-5} \mathrm{cm} \)
В. \( 10 \times 10^{-5} \mathrm{cm} \)
c. \( 2.5 \times 10^{-5} \mathrm{cm} \)
D. \( 1.25 \times 10^{-5} \mathrm{cm} \)
Subject: Maths
The number of distinct real roots of the
\[
\text { guation, }\left|\begin{array}{ccc}
\cos x & \sin x & \sin x \\
\sin x & \cos x & \sin x \\
\sin x & \sin x & \cos x
\end{array}\right|=0
\]
in the interval \( \left[-\frac{\pi}{4}, \frac{\pi}{4}\right] \) is/are
\( A \)
B . 2
\( c \cdot 1 \)
\( D \)
Subject: Biology
Read the given statements and select
the correct option.
Statement 1: Bryophytes are amphibians of plant kingdom. Statement 2 : They live in soil but
depend on water for sexual
reproduction.
A. Both statements 1 and 2 are correct
B. Statement 1 is correct but statement 2 is incorrect
c. statement 1 is incorrect but statement 2 is correct.
D. Both statements 1 and 2 are incorrect.
Subject: Chemistry
For the reaction; \( F e C O_{3(s)} \longrightarrow \) \( \boldsymbol{F e O}_{(s)}+\boldsymbol{C O}_{2}(\boldsymbol{g}), \boldsymbol{\Delta H}=\mathbf{8 2 . 8} \boldsymbol{k J} \) at
\( 25^{0} C . \) What is \( \Delta U \) at \( 25^{0} C ? \)
A . \( 82.8 k J \)
в. \( 80.32 k J \)
c. \( -2394.77 k J \)
D. \( 85.28 k J \)
Subject: Physics
In an experiment, 17 g of ice is used to
bring down the temperature of \( 40 g \) of
water at \( 34^{\circ} \mathrm{C} \) to its freezing
temperature. The specific heat capacity of water is \( 4.2 J g^{-1} K^{-1} \) Calculate the specific latent heat of ice. State one important assumption made
in the above calculation
A \( .33600 J g^{-1} \)
В. \( 3.36 J g^{-1} \)
c. \( 168 J g^{-1} \)
D. \( 336 . J g^{-1} \)
Subject: Chemistry
Which of the following statements
is/are false for sulphurdioxide?
A. It reacts with dry chlorine in presence of charcoal to form sulphuryl chloride
B. It reduces \( K I O_{3} \) to iodine in acidic medium
C. It when passed through a solution of sodium sulphide, produces \( N a_{2} S O_{3} \)
D. It oxidises \( S n C l_{2} \) to \( S n C l_{4} \) in presence of \( H C l \)
Subject: Maths
One root of the equation \( \cos x-x+ \)
\( \frac{1}{2}=0 \) lies in the interval?
A \( \cdot\left(0, \frac{\pi}{2}\right) \)
В. \( \left(-\frac{\pi}{2}, 0\right) \)
c. \( \left(-\frac{\pi}{2}, \pi\right) \)
D. \( \left(\pi, \frac{3 \pi}{2}\right) \)
Subject: Chemistry
Assertion
limiting line in the Balmer series has a
wavelength of \( 364.4 m m \)
Reason
limiting line is obtained for a jump of electron from \( n=\infty \)
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 lower edge of a square slab of side \( 50 \mathrm{cm} \) and thickness \( 20 \mathrm{cm} \) is rigidly
fixed to the base of a table. A tangential force of \( 30 \mathrm{N} \) is applied to the slab. If the shear moduli of the material is \( 4 \times \)
\( 10^{10} N / m^{2}, \) then displacement of the
upper edge, in maters is?
A \( .4 \times 10^{-12} \)
В. \( 4 \times 10^{-10} \)
c. \( 6 \times 10^{-10} \)
D. \( 6 \times 10^{-12} \)
E . \( 8 \times 10^{-10} \)
Subject: Physics
In a potentiometer of 10 wires, the
balance point is obtained on the \( 7^{t h} \)
wire. To shift the balance point to \( 9^{t h} \) wire, we should.
A. Decrease resistance in the main circuit
B. Increase resistance in the main circuit
c. Decrease resistance in series with the cell whose emf is to be measured
D. Increase resistance in series with the cell whose emf is to be determined
Subject: Physics
\( A 25 \mathrm{cm} \) long solenoid has radius \( 2 \mathrm{cm} \) and 500 total number of turns. It carries
a current of 15 A. If it is equivalent to magnet of the same size and magnetization \( \vec{M} \) Magnetic moment vloume), then \( \overrightarrow{|M|} \) is.
B. 30000Am"
c. \( 30000 \pi A m^{-1} \)
D. \( 3 \pi A m^{-1} \)
Subject: Maths
If \( \vec{a} \) is perpendicularto \( \vec{b} \) and \( \vec{r} \) is a nonzero vector such that \( \boldsymbol{p} \overrightarrow{\boldsymbol{r}}+(\overrightarrow{\boldsymbol{r}} \cdot \overrightarrow{\boldsymbol{b}}) \overrightarrow{\boldsymbol{a}}=\overrightarrow{\boldsymbol{c}} \)
\( \operatorname{then} \vec{r}= \)
A \( \cdot \frac{\vec{c}}{p}-\frac{(\vec{b} \cdot \vec{c}) \vec{a}}{p^{2}} \)
В \( \cdot \frac{\vec{a}}{p}-\frac{(\vec{c} \cdot \vec{a}) \vec{b}}{p^{2}} \)
c \( \cdot \frac{\vec{b}}{p}-\frac{(\vec{a} \cdot \vec{b}) \vec{c}}{p^{2}} \)
D \( \cdot \frac{\vec{c}}{p}-\frac{(\vec{b} \cdot \vec{c}) \vec{a}}{p} \)
Subject: Physics
A compound microscope has an objective and eye piece of focal lengths \( 2.5 \mathrm{cm} \) and \( 6.0 \mathrm{cm} \) respectively. The
lenses are \( 20 \mathrm{cm} \) apart. A small object is kept at \( 3 \mathrm{cm} \) from the objective. Find the distance of final image from
eyepiece and the magnifing power of microscope.
Subject: Maths
If the sum of the diagonals of a
rhombus is \( 12 \mathrm{cm} \) and its perimeter is \( 8 \sqrt{5} \mathrm{cm} \) then the lengths of the diagonals are:
\( \mathbf{A} \cdot 6 \mathrm{cm} \) and \( 6 \mathrm{cm} \)
B. \( 7 \mathrm{cm} \) and \( 5 \mathrm{cm} \)
c. \( 8 \mathrm{cm} \) and \( 14 \mathrm{cm} \)
D. \( 9 \mathrm{cm} \) and \( 3 \mathrm{cm} \)