AkshitPareek2004/jee-question-analyzer-data huggingface dataset:
Subject: Physics
The amplitude and the periodic time of a SHM are \( 5 c m \) and \( 6 s \) respectively. At a
distance of \( 2.5 \mathrm{cm} \) away from the mean position, the phase will be
\( ^{A} \cdot \frac{\pi}{3} \)
в.
c.
D. \( \frac{5 \pi}{12} \)
Subject: Chemistry
Given the standard potential of the
following at \( 25^{\circ} \mathrm{C} . M n O_{2} \rightarrow M n^{3+} \)
\( \boldsymbol{E}^{\ominus}=\mathbf{0 . 9 5} \boldsymbol{V} \)
\( M n^{3+} \rightarrow M n^{2+} ; E^{\ominus}=1.51 V \)
The standard potential of \( M n O_{2} \rightarrow \)
\( M n^{2+} \) is :
A . \( 1.23 \mathrm{v} \)
B. 0.2 \( v \)
c. \( 0.02 \mathrm{v} \)
D. None of these
Subject: Physics
Suppose you have focused on a screen the image of candle flame placed at the farthest end of the laboratory table using a convex lens. If your teacher suggests you to focus the parallel rays of the sun, reaching your laboratory table, on the same screen, what you are expected to do is to move the:
A. Lens slightly towards the screen
B. Lens slightly away from the screen
c. Lens slightly towards the sun
D. Lens and screen both towards the sun
Subject: Chemistry
Which mixture of the solution will lead
to the formation of negatively charged
colloidal \( [\boldsymbol{A} \boldsymbol{g} \boldsymbol{I}] \boldsymbol{I}^{-} \) sol?
A. \( 50 m L \) of \( 1 M A g N O_{3}+50 m L \) of \( 1.5 M K I \)
B. \( 50 m L \) of \( 1 M A g N O_{3}+50 m L \) of \( 2 M K I \)
C. \( 50 m L \) of \( 2 M A g N O_{3}+50 m L \) of \( 1.5 K I \)
D. \( 50 m L \) of \( 0.1 M A g N o_{3}+50 m L \) of \( 0.1 M K I \)
Subject: Chemistry
Which of the following statement is
correct regarding container B?
Container \( (\mathbf{A}) \)

Container
\( (\mathbf{B}) \)
A. Water will migrate from Glass (i) to Glass (ii) and no equilibrium will establish
B. Water will migrate from Glass (i) to Glass (ii) and equilibrium will establish after some time
c. Water will not migrate to any side
D. None of these
Subject: Chemistry
Assertion
If \( \boldsymbol{H}_{2} \) and \( \boldsymbol{C l}_{2} \) enclosed separately in the
same vessel exert pressures of 100 and \( 200 \mathrm{mm} \) respectively, their mixture in
the same vessel at the same
temperature will exerts a pressure of \( 300 \mathrm{mm} \)
Reason
Dalton's law of partial pressures states that total pressure is the sum of partial
pressures.
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
The following bar graph (Fig. 23.14) represents the heights (in \( \mathrm{cm} \) ) of 50
students of Class XI of a particular
school. Study the graph and answer the following questions:
State whether true or false:
The number of students in the class
having their heights less than \( 150 \mathrm{cm} \) is
12.
A. True
B. False
Subject: Chemistry
Consider the following statements:
1. The Government of India had launched
an initiative to study the phenomenon of black carbon, commonly known as
soot.
2. Black carbon is a form of particulate air pollution, produced from incomplete combustion of biomass burning,
cooking with solid fuels and diesel
exhaust.
3. The National Black Carbon
Programme is the joint effort of the Ministry of Environment, Earth
Sciences, Science end Technology and
ISRO.

Which of the statements given above is/are correct?
\( A \cdot 1,2 \) and 3
B. 1 and 2
c. only 1
D. only 2
Subject: Chemistry
When sulphur is reacted with ozone in
water,the product formed is:
A \( . H_{2} \)
в. \( H_{2} S O_{3} \)
\( \mathrm{c} \cdot \mathrm{H}_{2} \mathrm{SO}_{4} \)
D. \( H_{2} S_{2} O_{8} \)
Subject: Chemistry
Which of the following products is formed when phosphine is absorbed in
copper sulphate solution?
A \( \cdot C u(O H)_{2} \)
в. \( \left[C u\left(P H_{3}\right)_{4}\right] S O_{4} \)
c. \( C u_{3} P_{2} \)
D \( \cdot C u_{3}\left(P O_{4}\right)_{2} \)
Subject: Physics
A body is dropped from a height of \( 80 \mathrm{m} \) on to a horizontal floor and impings
repeatedly. If it stops in 6 seconds, the
total distance travelled by it before stops is (nearly). \( \left(\boldsymbol{g}=\mathbf{1 0 m} \boldsymbol{s}^{-2}\right) \)
\( \mathbf{A} \cdot 86.6 \mathrm{m} \)
B. \( 95 \mathrm{m} \)
c. \( 100 \mathrm{m} \)
D. \( 110 \mathrm{m} \)
Subject: Chemistry
Enthalpy of sublimation of iodine is
\( 24 \operatorname{cal} g^{-1} \) at \( 200^{\circ} \mathrm{C} . \) If specific heat of
\( I_{2}(s) \) and \( I_{2}(\text { vap ) are } 0.055 \) and \( 0.031 \mathrm{cal} \mathrm{g}^{-1} \mathrm{K}^{-1} \) respectively, then
enthalpy of sublimation of iodine at
\( 250^{\circ} \mathrm{C} \) in \( \operatorname{cal} g^{-1} \) is :
A . 2.85
B. 11.4
\( c .5 .7 \)
D . 22.8
Subject: Biology
The correct order of the flow of blood
through the heart, entering from vena
cava is
A. Left atrium \( \rightarrow \) left ventricle \( \rightarrow \) right ventricle \( \rightarrow \) right atrium
B. Left ventricle \( \rightarrow \) left atrium \( \rightarrow \) right atrium \( \rightarrow \) right ventricle
C. Right atrium \( \rightarrow \) right ventricle \( \rightarrow \) left atrium \( \rightarrow \) left ventricle
D. Right ventricle \( \rightarrow \) right atrium \( \rightarrow \) left atrium \( \rightarrow \) left ventricle
E. Right ventricle \( \rightarrow \) right atrium \( \rightarrow \) left ventricle \( \rightarrow \) left atrium
Subject: Chemistry
Based on equation \( \boldsymbol{E}=\mathbf{2 . 1 7 8} \times \mathbf{1 0}^{\mathbf{1 8}} \mathbf{J} \)
\( \left(\frac{Z^{2}}{n^{2}}\right), \) certain conclusions are written Which of them is not correct?
A. The negative sign in equation simply means that the energy of electron bound to the nucleus is lower than i would be if the electrons were at the infinite distance from the nucleus
B. Larger the value of n, the larger is the orbit radius
c. Equation can be used to calculate the change in energy when the electron changes orbit
D. For \( n=1 \), the electron has a more negative energy that it does for \( n=6 \) which means that the electron is more loosely bound in the smallest allowed orbit
Subject: Chemistry
Explain the formation of following compound:
CaO
\( \boldsymbol{C a}:[\boldsymbol{A r}] \boldsymbol{4 s}^{2} \longrightarrow \boldsymbol{C a}^{2+}[\boldsymbol{A r}] \quad \boldsymbol{O}: \)
\( 1 s^{2} 2 s^{2} 2 p^{4} \longrightarrow \)
\( \boldsymbol{O}^{2-} \mathbf{1} \boldsymbol{s}^{2} \mathbf{2} \boldsymbol{s}^{2} \mathbf{2} \boldsymbol{p}^{\boldsymbol{6}} \quad \boldsymbol{C} \boldsymbol{a}^{\mathbf{2}+}[\boldsymbol{:} \ddot{\boldsymbol{O}}:]^{2-} \)
If true enter 1 , else enter 0 .
Subject: Maths
Distance between two parrallel lines, \( \overline{\boldsymbol{r}}=\overline{\boldsymbol{a}}_{1}+\boldsymbol{\lambda} \overline{\boldsymbol{b}} \) and \( \overline{\boldsymbol{r}}=\overline{\boldsymbol{a}}_{2}+\boldsymbol{\mu} \overline{\boldsymbol{b}}, \) is given
by
A \( \cdot d=\mid \frac{\left(\bar{a}_{2}-\bar{a}_{1}\right)}{\hat{b}} \)
B . \( d=\mid\left(\bar{a}_{2}-\bar{a}_{1}\right) \times \hat{b} \)
c. \( d=\mid\left(\bar{a}_{2}+\bar{a}_{1}\right) \times \hat{b} \)
D . \( d=\mid\left(\bar{a}_{2}-\bar{a}_{1}\right) \)
Subject: Chemistry
The vapour pressure of pure benzene
and toluene at a particular temperature are \( 100 m m \) and 50 mm respectively. Then the mole fraction of benzene in
vapour phase in contact with equimolar solution of benzene and toluene is :
A . 0.67
B. 0.75
c. 0.33
D. 0.50
E . 0.20
Subject: Maths
The value of ' \( b^{\prime} \) such that the equation \( \frac{b \cos x}{2 \cos 2 x-1}=\frac{b+\sin x}{\left(\cos ^{2} x-3 \sin ^{2} x\right) \tan x} \)
possess solution, then prove that belongs to the set \( \left(-\infty, \frac{1}{2}\right) \)
Subject: Maths
The area of the region between the curve
\( \boldsymbol{y}=\mathbf{4} \boldsymbol{x}^{2} \) and the line \( \boldsymbol{y}=\mathbf{6} \boldsymbol{x}-\mathbf{2} \) is:
A \( \cdot \frac{1}{9} \) sq. units
B. \( \frac{1}{12} \) sq. units
c. \( \frac{3}{2} \) sq. units
D. \( \frac{1}{5} \) sq. units
Subject: Chemistry
\( \mathbf{1 0} C l^{-}(a q)+2 M n O_{4}^{-}(a q)+ \)
\( \mathbf{1 6} \boldsymbol{H}^{+}(\boldsymbol{a} \boldsymbol{q}) \rightarrow \mathbf{5} \boldsymbol{C l}_{2}(\boldsymbol{g})+ \)
\( 2 M n^{2+}(a q)+8 H_{2} O(l) \)
The value of \( E^{o} \) for the above reaction at
\( 25^{\circ} \mathrm{C} \) is \( 0.15 \mathrm{V} \). Hence, the value of \( \mathrm{K} \) for
this reaction is :
A . \( 2.4 \times 10^{25} \)
B . \( 4.9 \times 10^{12} \)
c. \( 1.2 \times 10^{15} \)
D. \( 3.4 \times 10^{20} \)
Subject: Chemistry
The correct IUPAC name of the
compound is:
\[
\begin{array}{c}
\mathbf{C H}_{3} \\
\mathbf{C H}_{3}-\mathbf{C H}_{2}-\mathbf{C}=\mathbf{C H}-\mathbf{C H}_{2}-\mathbf{C H}-\mathbf{C H}_{3} \\
\mathbf{C H}_{3}-\mathbf{C H}_{2}-\mathbf{C H}-\mathbf{C H}_{2}-\mathbf{C H}_{2}-\mathbf{C H}_{2}-\mathbf{C H}_{3}
\end{array}
\]
A. 5,6 -dimethyl-8-methyldec-6-ene
B. 5,6-Diethyl-2-methyldec-4-ene
c. 6 -butyl-5-ethyl-3-methyloct-4-ene
D. 5,6-diethyl-9-methyldec-6-ene
Subject: Chemistry
What specific name can be given to the following sequence of steps: \( H g+h v \rightarrow \)
\( H g^{*} \)
\( H g^{*}+H_{2} \rightarrow H_{2}^{*}+H g \)
A. Fluorescence
B. Phosphorescence
c. Photosensitization
D. Chemilumionescence
Subject: Chemistry
\( \Delta S_{\text {Total}}=-40 k J / m o l \times K \)
\( \boldsymbol{\Delta} \boldsymbol{H}_{s y s}=\mathbf{2 0 0 0} \boldsymbol{k J} / \boldsymbol{m o l} \)
\( \boldsymbol{T}=\mathbf{4 0 0} \boldsymbol{K} \)
Find out value of \( \Delta S_{\text {system}} \) at equilibrium?
A. \( -35 k J / m o l \times K \)
в. \( -5 k J / m o l \times K \)
c. \( -20 k J / m o l \times K \)
D. \( -10 k J / m o l \times K \)
Subject: Chemistry
The molar solubility (in mol \( L^{-1} \) ) of a
sparingly soluble salt \( M X_{4} \) is 's'. The
corresponding solubility product is \( \boldsymbol{K}_{s p} \)
\( s \) can be given in terms of \( \boldsymbol{K}_{s p} \) by the relation:
A \( \cdot_{s}=\left[\frac{K_{p}}{256}\right]^{\frac{1}{5}} \)
B . \( s=\left[128 K_{s p}\right]^{\frac{1}{4}} \)
c. \( s=\left[26 K_{s p}\right]^{\frac{1}{3}} \)
D. \( _{s}=\left[\frac{K_{s p}}{128}\right]^{\frac{1}{4}} \)
Subject: Maths
The unit vector in the direction of \( \vec{A}= \)
\( \mathbf{3} \hat{\mathbf{i}}+\mathbf{4} \hat{\mathbf{j}} \) is :
A \( \cdot \hat{A}=\frac{\hat{i}+\hat{j}}{7} \)
B. \( \hat{A}=\frac{3 \hat{i}+4 \hat{j}}{5} \)
c. \( \hat{A}=\hat{i}+\hat{j} \)
D. \( _{\hat{A}}=\frac{4 \hat{i}-3 \hat{j}}{5} \)
Subject: Maths
Expand \( \left(2 y-\frac{3}{y}\right)^{3} \)
A \( \cdot 8 y^{3}-36 y+\frac{54}{y}-\frac{27}{y^{3}} \)
в. \( 8 y^{3}+36 y+\frac{54}{y}-\frac{27}{y^{3}} \)
c. \( 8 y^{3}-36 y-\frac{54}{y}-\frac{27}{y^{3}} \)
D. None of these
Subject: Biology
An ovum of an animal has 2.5 pg of DNA in its nucleus. The amount of DNA at the
end of \( \mathrm{G}_{2} \) phase will be
A. \( 2.5 \mathrm{pg} \)
B. 5 pg
c. \( 250 \mathrm{pg} \)
D. \( 10 \mathrm{pg} \)
Subject: Chemistry
Which of the following statements
is/are true?
This question has multiple correct options
A. The strength of \( H- \) bond depends upon the polarity of the bond.
B. The extent of \( H- \) bond depends upon the number of sites available for \( H- \) bond.
C. The extent of \( H- \) bond in \( H_{2} O_{2} \) is greater than that in
\( H_{2} O \)
D. The strength of \( H- \) bond in \( H_{2} O_{2} \) is greater than that in \( H_{2} O \)
Subject: Physics
toppr
Q Type your question
\( 600 k g / m^{3} \) and \( \rho_{2}=1200 k g / m^{3} \) as
shown in the figure. A small hole having cross-sectional
area \( 5 c m^{2} \) is made in right side vertical
wall as shown. Take atmospheric
pressure as \( \boldsymbol{p}_{0}=\mathbf{1 0}^{5} \boldsymbol{N} / \boldsymbol{m}^{2}, \boldsymbol{g}= \)
\( 9.8 m / s^{2} . \) For this situation, mark out
the correct statements(s). (Take cross-
sectional area of the cylindrical vessel
as \( 1000 \mathrm{cm}^{2} \). Neglect the mass of the
vessel)
This question has multiple correct options
A. If the surface on which the vessel is placed is smooth, then a rightward force of magnitude 2N is to be applied on the vessel to maintain its static equilibrium.
B. If the surface on which the vessel is placed is smooth then no force is needed to maintain its static equilibrium
C. If the surface on which the vessel is placed is rough \( (\mu=0.04) \), then the minimum force (horizontal) needed to be applied on the vessel to maintains its static equilibrium is zero
D. If the surface on which the vessel is placed is rough \( \mu=0.04 \), then the maximum force (horizontal) needed to be applied on the vessel to maintain its static equilibrium is 19.8 N
Subject: Physics
A body, projected vertically upwards, crosses a point twice its journey at a
height \( h \) just after \( t_{1} \) and \( t_{2} \) seconds. Maximum height reached by the body is
\( \mathbf{A} \cdot \frac{g}{4}\left(t_{1}+t_{2}\right)^{2} \)
\( ^{\mathrm{B}} \cdot\left[\frac{t_{1}+t_{2}}{4}\right]^{2} \)
\( ^{\mathrm{c}} \cdot_{2 g}\left[\frac{t_{1}+t_{2}}{4}\right]^{2} \)
D. \( \frac{g}{4}\left(t_{1} t_{2}\right) \)
Subject: Maths
The line \( \frac{x-2}{3}=\frac{y+1}{2}=\frac{z-1}{-1} \)
intersects the curve \( x y=c^{2}, z=0 \) if \( c \) is
equal to:
\( A \cdot \pm 1 \)
B. \( \pm \frac{1}{3} \)
\( \mathrm{c} \cdot \pm \sqrt{5} \)
D. None of these
Subject: Biology
Which of the following is correct
sequence in Krebs cycle?
A. Isocitric acid \( \rightarrow \) Oxalosuccinic acid \( \rightarrow \alpha \) -ketoglutaric acid
B. Oxalosuccinic acid \( \rightarrow \) Isocitric acid \( \rightarrow \alpha \) -ketoglutaric acid
C \( . \alpha \) -ketoglutaric acid \( \rightarrow \) Isocitric acid \( \rightarrow \) Oxalosuccinic acid
D. Isocitric acid \( \rightarrow \alpha \) -ketoglutatric acid \( \rightarrow \) Oxalosuccinic acid
Subject: Physics
A circular loop of radius \( r \) is placed at
the centre of current carrying
conducting square loop of side \( a . \) If both
loops are coplanar and \( a>>r, \) then the
mutual inductance between the loops
will be:
A \( \frac{\mu_{0} r^{2}}{2 \sqrt{2}(a)} \)
B. \( \frac{\mu_{0} r^{2}}{4 a} \)
c. \( \frac{2 \sqrt{2} \mu_{0} r^{2}}{\pi a} \)
D. \( \frac{\mu_{0} r^{2}}{4 \sqrt{2} a} \)
Subject: Physics
toppr DG
Q Type your question_
\( x \)
light string of length \( l \), whose other end
is attached to the circumference of the
disc. Initially string is just taut and
tangential to the disc, particle \( A \) is at
rest. In the same horizontal plane
another particle \( B \) of same mass \( m \)
moving with velocity \( v_{0} \) perpendicular
to string collides elastically with \( A \). Just
after impact which of the following
statements will be true.
This question has multiple correct options
A tension in the string is \( \frac{2 m v_{0}^{2}}{5 l} \)
B. acceleration of the centre of the disc is \( \frac{v_{0}^{2}}{5 l} \)
C tension in the string is \( \frac{m v_{0}^{2}}{5 l} \)
Deceleration of the centre of the disc is \( \frac{2 v_{0}^{2}}{5 l} \)
Subject: Chemistry
When dilute aqueous solution of
\( A g N O_{3}(\text { excess }) \) is added to \( K I \) solution, positively charged sol particles of \( A g I \) are formed due to
adsorption of ion:
A \( . K^{\text {t }} \)
в. \( A g^{+} \)
c. \( I^{-} \)
D. \( N O_{3}^{-} \)
Subject: Chemistry
lonization constant \( \left(K_{a}\right) \) for three weak
monobasic acids \( H A, H B \) and \( H D \) are
\( 10^{-3}, 10^{-7} \) and \( 10^{-9}, \) respectively at
\( 25^{\circ} \mathrm{C} . \) Which of the following is correct
prediction?
\( \mathbf{A} \cdot(p H)_{N a A}>(p H)_{N a B} \)
B. \( (p H)_{N a A}<(p H)_{N a B} \)
\( \mathbf{c} \cdot(p H)_{N a A}>(p H)_{N a D} \)
D. \( (p H)_{N a B}=7 \)
Subject: Physics
A \( 5.0 \mathrm{A} \) current is setup in an external
circuit by a \( 6.0 \mathrm{V} \) storage battery for 6.0 min. The chemical energy of the battery is reduced by
В. \( 1.08 \times 10^{-4} \) 」
c. \( 1.8 \times 10^{4} \) j
D. \( 1.8 \times 10^{-4} \mathrm{J} \)
Subject: Physics
A convex lens of focal length \( 40 \mathrm{cm} \) is in contact with a concave lens of focal
length \( 25 \mathrm{cm} . \) The power of the
combination is:
A . - 6.5 \( \mathrm{D} \)
\( B .+6.5 D \)
\( c \cdot+6.67 \)
D . - 1.5 D
Subject: Maths
In the given diagram circle A represents
teachers who teach Physic circle B represents teachers who can teach
Chemistry and circle C represents teachers who can teach Mathematics
Amount the regions marked
\( \boldsymbol{p}, \boldsymbol{q} \cdot \boldsymbol{r}, \boldsymbol{s}, \boldsymbol{t}, \boldsymbol{u}, \boldsymbol{v} \) the one that represents
teacher who can teach Physics and
Mathematics but not Chemistry is
\( A \)
B.
\( c \)
\( D \)
Subject: Physics
If \( \epsilon_{0} \) and \( \mu_{0} \) are, respectively, the electric
permittivity and magnetic permeability of free space, \( \epsilon \) and \( \mu \) are the corresponding quantities in a medium, the index of refraction of the medium in
terms of the above parameters is
A \( \cdot \sqrt{\frac{\mu \epsilon}{\mu_{0} \epsilon_{0}}} \)
в. \( \sqrt{\frac{\epsilon}{\mu_{0} \epsilon_{0}}} \)
c. \( \sqrt{\frac{2}{\mu_{0} \epsilon_{0}}} \)
D. \( \sqrt{\frac{1}{\mu_{0} \epsilon_{0}}} \)
Subject: Physics
Identify which of the following
statement is correct for acceleration
due to gravity on earth:
A. It is abbreviated with the letter \( R \)
B. It has a magnitude of \( 9.8 \mathrm{cm} / \mathrm{sec}^{2} \) away from the center of earth
C. It has a magnitude of \( 9.8 \mathrm{m} / \mathrm{sec}^{2} \) toward the center of earth
D. Acceleration tends to increase with a greater mass
E. Acceleration tends to decrease with force
Subject: Physics
A bus is moving with a velocity \( 10 \mathrm{ms}^{-1} \)
on a straight road. A scooterist wishes
to over take the bus in 100 s. If the bus is
at a distance of \( 1 k m \) from the
scooterist, with what velocity should be scooterist chase the bus?
A \( .50 m s^{-1} \)
В. \( 40 \mathrm{ms}^{-1} \)
\( \mathrm{c} \cdot 30 \mathrm{ms}^{-1} \)
D. \( 20 m s^{-1} \)
Subject: Maths
If \( \frac{\tan 2 \theta+\tan \theta}{1-\tan \theta \tan 2 \theta}=0, \) then the
general value of \( \boldsymbol{\theta} \) is
A \( , n \pi ; \in I \)
\( I \)
B. \( \frac{n \pi}{3} ; \in I \)
c. \( \frac{n \pi}{4} ; \in I \)
D. \( \frac{n \pi}{6} ; \in I \)
Subject: Maths
\( M \) and \( N \) are midpoints of \( A B \) and \( A C \)
respectively \( \boldsymbol{A} \boldsymbol{M}=\mathbf{3} \mathbf{c m}, \boldsymbol{A} \boldsymbol{N}=\mathbf{5} \) cm
and \( M N=7 \) cm. Find \( B C \)
A. \( 14 \mathrm{cm} \)
B. \( 10 \mathrm{cm} \)
\( c \cdot 6 \mathrm{cm} \)
D. \( 7 \mathrm{cm} \)
Subject: Maths
An ellipse has \( O B \) as semi-minor axis, \( F \) and \( F^{\prime} \) its foci and the \( \angle F B F^{\prime} \) is a
right angle. Then, the eccentricity of the ellipse is
A \( \cdot \frac{1}{\sqrt{3}} \)
B. \( \frac{1}{4} \)
\( c \cdot \frac{1}{2} \)
D. \( \frac{1}{\sqrt{2}} \)
Subject: Chemistry
\( C O \) can be used as a fuel but not \( C O_{2} \)
because
A. \( C O_{2} \) is not a good fuel.
B. \( C O \) is a good fuel
c. \( C O \) can be oxidized but \( C O_{2} \) can not can be oxidized
D. \( C O_{2} \) can be oxidized but not \( C O \)
Subject: Chemistry
Assertion
Transition metals are weak reducing
agents.
Reason
Due to high heat of sublimation, high ionization energy and low \( \boldsymbol{E}_{\boldsymbol{R} . \boldsymbol{P}}^{\boldsymbol{0}} \)
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
For the travelling harmonic wave \( \boldsymbol{y}(\boldsymbol{x}, \boldsymbol{t})=2.0 \cos 2 \pi(10 \mathrm{t}-0.0080 \mathrm{x}+0.35) \)
where \( x \) and \( y \) are in \( c m \) and \( t \) in \( s \) Calculate the phase difference between oscillatory motion of two points separated by a distance of \( x \)
A. \( x=4 m, \quad \Delta \phi=6.4 \pi r a d \)
в. \( 0.5 m, \quad \Delta \phi=0.6 \pi \) rad
\( \begin{array}{ll}\text { c. } \lambda / 2, & \Delta \phi=.6 \pi r a d\end{array} \)
D. 3\lambda/4, \( \quad \Delta \phi=2.5 \pi r a d \)
Subject: Chemistry
The reaction which is taking place in
nickel- cadmium battery can be represented by which of the following equation?
A \( \cdot C d+N i O_{2}+2 H_{2} O \rightarrow C d(O H)_{2}+N i(O H)_{2} \)
B. \( C d+N i O_{2}+2 O H^{-} \rightarrow N i+C d(O H)_{2} \)
c. \( N i+C d(O H)_{2} \rightarrow C d+N i(O H)_{2} \)
D. \( N i(O H)_{2}+C d(O H)_{2} \rightarrow N i+C d+2 H_{2} O \)
Subject: Chemistry
Methylethylpropyl amine is optically inactive because
(i) It is not tetrahedral
(ii) Its molecule is superimposable on its mirror image
(iii) The enantiomers are rapidly interconverted
(iv) The nitrogen is \( s p^{2} \) hybridized Which of the above statement(s) is(are)
true?
A. only (i)
B. only (iii)
c. (i) and (iii)
D. All the four
Subject: Maths
The weight of coffee (in gms) in 70 packets is given below. Determine the modal weight of coffee in packets
202 \( \quad 203 \)
Packe
A . \( 201 \mathrm{gms} \)
в. \( 201.70 \mathrm{gms} \)
\( c \cdot 202 g m s \)
D. 202.70 gms
Subject: Biology
Integral proteins are embedded in the phospholipid bilayer, and also called transmembrane proteins. Often times these integral proteins serve as channels through which molecules move across the cell membrane.
Proteins embedded in the interior of the
bilayer of the membrane are \( \ldots \). and
are made up of non-polar
A. Nonpolar, Nucleic acids
B. Polar, Amino acids
c. Hydrophilic, Nucleic acids
D. Hydrophobic, Amino acids
Subject: Physics
The change in internal energy of two moles of a gas during adiabatic expansion is found to be -100 . \( J \). The
work done during the process is
\begin{tabular}{l} 
A. \( -100 \mathrm{J} \) \\
\hline
\end{tabular}
B. \( 0 J \)
c. \( 100 J \)
D. 200 J
Subject: Maths
If \( A \) and \( B \) are two independent events such that \( \boldsymbol{P}(\boldsymbol{A})=\frac{1}{2} \) and \( \boldsymbol{P}(\boldsymbol{B})=\frac{\mathbf{1}}{\mathbf{5}} \)
then
A \( \cdot P(A \cup B)=\frac{3}{5} \)
в. \( P\left(\frac{A}{B}\right)=\frac{1}{2} \)
\( ^{c} \cdot p\left(\frac{A}{A \cup B}\right)=\frac{5}{6} \)
\( ^{\mathrm{D}} \cdot_{P}\left(\frac{A}{\bar{A}} \stackrel{\cap}{\longrightarrow} \overline{\bar{B}}\right)=0 \)
Subject: Maths
\( \left\{\boldsymbol{a} \boldsymbol{m}_{1} \boldsymbol{m}_{2}, \boldsymbol{a}\left(\boldsymbol{m}_{1}+\boldsymbol{m}_{2}\right)\right\},\left\{\boldsymbol{a} \boldsymbol{m}_{2} \boldsymbol{m}_{3}, \boldsymbol{a}(\boldsymbol{m}\right. \)
Subject: Physics
U is the PE of an oscillating particle and Fis the force acting on it at a given instant. Which of the following is true?
A \( \cdot \frac{U}{F}+x=0 \)
B. \( \frac{2 U}{F}+x=0 \)
c. \( \frac{F}{U}+x=0 \)
D. \( \frac{F}{2 U}+x=0 \)
Subject: Maths
\( \int\left(a-a^{n x}\right) d x= \)
A. \( a x-\frac{a^{n x}}{n \log a}+c \)
в. \( a x+\frac{a^{n x}}{n \log a}+c \)
c. \( a x+\frac{a^{n x}}{\log a}+c \)
D. \( a x+\frac{a^{n x+1}}{\log a}+c \)
Subject: Chemistry
In Bohr series of lines of hydrogen
spectrum, the third line from the red
end corresponds to which one of the following inter - orbit jumps of the electron for Bohr orbits in an atom of
hydrogen ?
\( \mathbf{A} \cdot 3 \rightarrow 1 \)
B . \( 5 \rightarrow 2 \)
c. \( 2 \rightarrow 5 \)
D. \( 3 \rightarrow 2 \)
Subject: Physics
The temperature of water at the surface of a deep lake is \( 2^{0} \) C. The temperature expected at the bottom is
A \( \cdot 0^{0} \mathrm{C} \)
B . \( 2^{0} \) C
c. \( 4^{\circ} \) с
D. \( 6^{\circ} \mathrm{c} \)
Subject: Chemistry
\( \Delta U^{\ominus} \) of combustion of methane is
\( -X k J m o l^{-1} \) The value of \( \Delta H^{\ominus} \) is
\( A \cdot=\Delta U^{\ominus} \)
в. \( >\Delta U^{\text { }} \)
\( \mathrm{c} \cdot<\Delta U^{\circ} \)
D.