AkshitPareek2004/jee-question-analyzer-data huggingface dataset:
Subject: Physics
A particle is moved from (0,0) to \( (a, a) \) under a force \( F=3 i+4 j \) ) from two paths.
Path 1 is \( 0 P \) and path 2 is \( Q O P \). Let \( W_{1} \)
and \( \mathrm{W}_{2} \) be the work done by this force in two paths. Then:
A. \( w_{1}=w_{2} \)
B. \( w_{1}=2 w_{2} \)
\( c \cdot w_{2}=2 w_{1} \)
\( D \cdot W_{1}=4 W_{2} \)
Subject: Chemistry
Among the following pairs of compounds, the one that illustrates the law of multiple proportions is:
A. \( N H_{3} \) and \( N C l_{3} \)
B. \( H_{2} S \) and \( S O_{2} \)
c. \( C u O \) and \( C u_{2} O \)
D. \( C S_{2} \) and \( F e S O_{4} \)
Subject: Chemistry
Using formal charge, which of the
following would be the least likely structure for dinitrogen monoxide based on the knowledge that oxygen is NOT the central atom?
\( A \)
\[
\mathrm{N} \longrightarrow \mathrm{N}=0
\]
в.
\[
\mathrm{N}=\mathrm{N}=0
\]
c.
\[
\mathrm{N} \equiv \mathrm{N}-\mathrm{O}
\]
D. All three structures are equally likely as drawn
Subject: Maths
If \( \log _{e} 5, \log _{e}\left(5^{x}-1\right) \) and
\( \log _{e}\left(5^{x}-\frac{11}{5}\right) \) are in \( A P, \) then the
values of \( x \) are :
A \( \cdot \log _{5} 4 \) and \( \log _{5} 3 \)
B. \( \log _{3} 4 \) and \( \log _{4} 3 \)
\( \mathbf{c} \cdot \log _{3} 4 \) and \( \log _{3} 5 \)
D. \( \log _{5} 6 \) and \( \log _{5} 7 \)
E . 12,6
Subject: Chemistry
A mixture of ethyl alcohol and propyl alcohol has a vapour pressure of 290 \( \mathrm{mm} \) at \( 300 \mathrm{K} . \) The vapour pressure of propyl alcohol is \( 200 \mathrm{mm} \). If the mole
fraction of ethyl alcohol is \( 0.6, \) its vapour pressure(in \( \mathrm{mm} \) ) at the same temperature will be:
A . 350
в. 300
c. 700
D. 360
Subject: Physics
A ball reaches a racket at \( 60 \mathrm{m} / \mathrm{s} \) along \( +X \) direction, and leaves the rocket in
the opposite direction with the same speed. Assuming that the mass of the ball as \( 50 \mathrm{gm} \) and the contact time is 0.02 second, the force exerted by the racket on the ball is
A. 300 N along + X direction
B. 300 N along - X direction
c. \( 3,00,000 \mathrm{N} \) along \( +\mathrm{x} \) direction
D. 3,00,000 N along - X direction
Subject: Maths
\( \int_{0}^{1} \sqrt{\boldsymbol{x}(1-\boldsymbol{x})} \boldsymbol{d} \boldsymbol{x}= \)
\( \mathbf{A} \cdot \pi / 2 \)
в. \( \pi / 4 \)
c. \( \pi / 6 \)
D . \( \pi \)
Subject: Maths
Coefficient of \( \boldsymbol{x}^{\boldsymbol{9}} \) in \( \rightarrow(\mathbf{1}+\boldsymbol{x})(\mathbf{( 1}+\boldsymbol{t}) \)
\( \left.\left.\boldsymbol{x}^{2}\right)\left(\mathbf{1}+\boldsymbol{x}^{3}\right) \ldots \ldots\left(\boldsymbol{1}+\boldsymbol{x}^{\mathbf{1 0 0}}\right)\right) ? \)
Subject: Chemistry
Two oxides of metal contain 30.0 and
27.6 per cent of oxygen respectively. If
the formula of the first oxide is \( M_{2} O_{3} \)
then find the formula of the second
oxide.
A. \( M O_{4} \)
в. \( M_{5} O_{4} \)
c. \( M_{3} O \)
D. \( M_{3} O_{4} \)
Subject: Maths
\( \tan \left(\rho \frac{\pi}{4}\right)=\cot \left(q \frac{\pi}{4}\right) \)
A \( . \rho+q=0 \)
В \( \cdot \rho+q=2 n+1 \)
c. \( \rho+q=2 n \)
D \( \cdot \rho+q=2(2 n+1) \)
Subject: Maths
Students of a school staged a rally for a
cleanliness campaign. They walked
through the lanes in two groups. One
group walked through the lanes \( A B, B C \) and CA; where the Other through \( A C, C D \)
and DA. Then they cleaned the area
enclosed within their lanes. If \( \boldsymbol{A B}= \)
\( \mathbf{9} \boldsymbol{m}, \boldsymbol{B} \boldsymbol{C}=\mathbf{4 0 m}, \boldsymbol{C D}=\mathbf{1 5 m}, \boldsymbol{D} \boldsymbol{A}= \)
\( 28 m \) and \( \angle B=90^{0}, \) which group cleaned
more area and by how much? Find the
total area cleaned by the students.
Subject: Physics
Assertion: A tennis ball bounces higher on hills than in plains.

Reason: Acceleration due to gravity on
the hill is greater than that on the
surface offearth.
A. If both Assertion and Reason are true and the Reason is the correct explanation of the Assertion
B. If both Assertion and Reason are true but the Reason is not the correct explanation of the Assertion.
c. If Assertion is true statement but Reason is false
D. If both Assertion and Reason are false
Subject: Physics
In a surface tension experiment with a capillary tube, water rises upto \( 0.1 \mathrm{m} \). If the same experiment is repeated in an artificial satellite revolving around the earth, then the water will rise in the capillary upto a height of
A. \( 0.1 \mathrm{m} \)
B. 9.8 \( m \)
\( c .0 .98 \mathrm{m} \)
D. full length of capillary tube
Subject: Chemistry
Which of the following compounds are the common product/s obtained in the
hydrolysis of \( X e F_{6} \) and \( X e F_{4} \)
A. \( X e O_{2} F_{2} \)
в. \( H F \)
\( \mathbf{c} \cdot X e O_{3} \)
D. Both (B) and (C)
Subject: Chemistry
Calculate \( \left[\boldsymbol{F}^{-}\right] \) in a solution saturated
with respect to both \( M g F_{2} \) and \( S r F_{2} \)
assuming no hydrolysis of \( \boldsymbol{F}^{-} . \boldsymbol{K}_{s p} \) of \( M g F_{2}=6.5 \times 10^{-9} ; K_{s p} \) of \( S r F_{2}= \)
\( \mathbf{2 . 9} \times \mathbf{1 0}^{-\mathbf{9}} \)
A \( \cdot 2.35 \times 10^{-3} M \)
В . \( 2.65 \times 10^{-3} M \)
\( \mathbf{c} \cdot 2.95 \times 10^{-3} M \)
D. None of the above
Subject: Chemistry
In the compound
\[
\boldsymbol{C H}_{3}
\]
the
\[
\boldsymbol{H C} \equiv \boldsymbol{C}-\boldsymbol{C}=\boldsymbol{C H}_{2}
\]
hybridisation of \( C-2 \) and \( C-3 \)
carbons are respectively:
A \( \cdot s p^{3} \) and \( s p^{3} \)
B. \( s p^{2} \) and \( s p^{3} \)
\( \mathbf{c} \cdot s p^{2} \) and \( s p \)
D. \( s p^{3} \) and \( s p \)
Subject: Maths
The value of the determinant
\( \left|\begin{array}{ccc}1-\alpha & \alpha-\alpha^{2} & \alpha^{2} \\ 1-\beta & \beta-\beta^{2} & \beta^{2} \\ 1-\gamma & \gamma-\gamma^{2} & \gamma^{2}\end{array}\right| \) is equal to
A \( \cdot(\alpha-\beta)(\beta-\gamma)(\alpha-\gamma) \)
В . \( (\alpha-\beta)(\beta-\gamma)(\gamma-\alpha) \)
c. \( (\alpha-\beta)(\beta-\gamma)(\alpha-\gamma)(\alpha+\beta+\gamma) \)
D.
Subject: Physics
When a block of mass ' \( m^{\prime} \) is released
from point \( ^{\prime} \boldsymbol{A}^{\prime} \) on the surface of a smooth bowl, the normaal reaction on it
\( B \) would be equal to
\( \mathbf{A} \cdot m g \)
B. \( 2 m g \)
c. \( 3 m g \)
D. Zero
Subject: Maths
Four vertices of a tetrahedron are
(0,0,0),(4,0,0),(0,-8,0) and
\( (0,0,12), \) Its centroid has the coordinates
A \( \cdot\left(\frac{4}{3},-\frac{8}{3}, 4\right) \)
В. (2,-4,6)
c. (1,-2,3)
a 5
D. none of these
Subject: Chemistry
The oxidation states of \( S \) atom in
\( S_{4} O_{6}^{2-} \) from left to right respectively are
\( \mathbf{A} \cdot+6,0,0,+6 \)
В. +3,+1,+1,+3
c. +5,0,0,+5
\( \mathbf{D} \cdot+4,+1,+1,+4 \)
Subject: Chemistry
Which of the following pairs has the
same size?
A. \( Z n^{2+}, H f^{4} \)
B. \( F e^{2+}, N i^{4+} \)
\( \mathbf{c} \cdot Z n^{4+}, T i^{4+} \)
D. \( Z r^{4+}, H i^{4+} \)
Subject: Chemistry
Which one of the following compound is most reactive for E1 reaction?
A \( \ldots_{H_{3}-C H_{2}-C_{I B}^{r}}-C H_{3} \)
в. \( \quad C H_{3}-C H_{2}-\stackrel{P}{C}_{\}^{Y}-C_{6} H_{5} \)
\( ^{\mathrm{c}} \mathrm{CH}_{3}-C H_{2}-\stackrel{^{B r}}{_{\mathrm{I}}^{\mathrm{C}}}-C_{2} H_{5} \)
D. \( \quad \) Br CH \( _{3}-C H_{2}- \) CH \( -C H_{3} \),
Subject: Physics
\( 200 V \) A.C is applied at the ends of an LCR circuit. The circuit consists of an
inductive reactance \( \boldsymbol{X}_{\boldsymbol{L}}=\mathbf{5 0 \Omega} \)
capacitive reactance \( X_{C}=50 \Omega \) and ohmic resistance \( R=10 \Omega \). Calculate
the impedance of the circuit and also
potential difference across \( L \) and \( R \)
What will be the potential difference
across L-C?
Subject: Physics
(a) How long will a stone take to fall to the ground from the top of a building \( 80 m \) high and (b) what will be the velocity of the stone on reaching the
ground? (Take \( \left.g=10 m s^{-2}\right) \)
B . (a) \( 4 s \), (b) \( 30 m s^{-1} \)
C \( \cdot \) (a) \( 10 s, \) (b) \( 40 \mathrm{m} \mathrm{s}^{-1} \)
D. (a) \( 4 s, \) (b) \( 40 \mathrm{m} \mathrm{s}^{-1} \)
Subject: Chemistry
The correct set of quantum numbers for the unpaired electron of a chlorine atom is:
A \( \cdot 2,0,0,+\frac{1}{2} \)
в. \( _{2,1,-1,+\frac{1}{2}} \)
c. \( _{3,1,1, \pm} \frac{1}{2} \)
D. \( _{3,0,0, \pm} \underline{1} \)
Subject: Chemistry
Three isotopes of an element have mass
numbers, \( M,(M+1) \) and \( (M+2) . \) If
the mean mass number is \( (M+0.5) \)
then which of the following ratios may
be accepted for \( M,(M+1),(M+2) \)
in that order?
A. 1: 1: 1
B. 4: 1: 1
\( \mathrm{c} .3: 2: 1 \)
D. 2: 1: 1
Subject: Physics
A Parallel platecapacitor made of circular plates each of radius \( \boldsymbol{R}= \)
\( 6.0 \mathrm{cm} \) has a capacitance \( 100 \mathrm{pF} \) is
connected to \( 230 \mathrm{V} \) of \( \mathrm{AC} \) supply of 300 rad/sec.frequency. The rms value of
displacement current
A. \( 6.9 \mu A \)
B . \( 2.3 \mu A \)
c. \( 9.2 \mu A \)
D. \( 4.6 \mu A \)
Subject: Chemistry
\( -\left(\mathrm{CH}_{2}-\mathrm{CH}\right)_{\mathrm{n}} \)
\( \mathrm{CN} \)
\( \left(\mathrm{CH}_{2}-\mathrm{CH}-\right)_{\mathrm{n}} \)
\( \mathrm{Cl} \)
\( \mathrm{CH}_{2}-\mathrm{c}=\mathrm{cH}-\mathrm{cH}_{2}-\left.\right|_{\mathrm{n}} \)
\( \mathrm{cl} \)
\( \mathrm{C}_{6} \mathrm{H}_{5} \)
Subject: Chemistry
Which substance has the lowest boiling
point?
A \( \cdot C H_{3} C H_{2} C H_{2} C H_{2} O C H_{3} \)
в. \( C H_{3} C H_{2} O C H_{2} C H_{3} \)
\( \mathbf{c} \cdot C H_{3} C H_{2} C H_{2} C H_{3} \)
D. \( C H_{3} C H_{2} C=O C H_{3} \)
Subject: Chemistry
Addition of \( B r_{2} \) to cis-2-hexene gives
racemic mixture, even though attack of the bromide ion on unsymmetrical bromonium ion intermediate is not
equally likely at both carbons. The reason for the racemic product are:
A. the reaction is reversible, after a while both enantiomers are produced in equal amount
B. the bromonium ion formed has a plane of symmetry
c. two enantiomeric bromonium ions are formed in equal amounts
D. four different stereo isomers are formed, but all in equal amount
Subject: Chemistry
Statement I: Radiation and
radioisotopes can have beneficial uses Because
Statement II: Radioisotopes and radiation can be used for radio dating,
radiotracers, and food preservation
A. Both statements are true and Statement II is the correct explanation of statement
B. Both statements are true but Statement II is not the correct explanation of statement
c. statement lis true and Statement II is false
D. Statement lis false and Statement II is true
E. Both statements are false
Subject: Maths
Find the angles between the lines,
whose direction cosines are give by the equation \( l^{2}-m^{2}+n^{2}=0, l+m+ \)
\( \boldsymbol{n}=\mathbf{0} \)
A. 0
в. \( \frac{\pi}{6} \)
\( c \cdot \frac{\pi}{4} \)
D.
Subject: Chemistry
Change in concentration of product is 0.05 mole \( l^{-1} \) in 20 seconds. Average
rate of reaction is
A .0 .0025 moles \( s^{-1} \)
B. 1 moles \( s^{-1} \)
c. 0.05 moles \( s^{-1} \)
D. none of these
Subject: Chemistry
The clouds consists of charged particles of water dispersed in air. Some of them are positively charged, others are negatively charged. When positively charged clouds come closer, they cause lightening and thundering whereas when positive and negative charged colloids come closer, they cause heavy rain by aggregation of minute particles. It is possible to cause artificial rain by throwing electrified sand or silver iodide from an
aeroplane and thus, coagulation the mist hanging in air.
Clouds are colloidol solution of :
A. liquid in gas
B. gas in liquid
c. liquid in liquid
D. solid in liquid
Subject: Physics
Determine the difference \( L_{1}-L_{2}(= \)
\( \Delta L) \) in terms of \( \lambda_{0} \)
A \( \frac{4 \lambda_{0}}{\mu} \)
в. \( \frac{7 \lambda_{0}}{2 \mu} \)
\( c \cdot \frac{3 \lambda_{0}}{\mu} \)
D. none of the above
Subject: Physics
A student is using a convex lens of focal
length \( 18 \mathrm{cm} \) to study the
image formation by it for the various positions of the object. He observes thatwhen he places the object at \( 27 \mathrm{cm} \) the location of the image is at 54 cmon the other side of the lens. Identify from
the following diagram the three rays that are obeying the laws of refraction
and may be used to draw the
corresponding ray diagram.
A. 1,2 and 4
B. 1,3 and 5
\( c \cdot 2,4 \) and 5
D. 2,3 and 4
Subject: Chemistry
When two isomeric liquid compounds
\( A^{\prime} \) and \( ^{\prime} B^{\prime} \) form \( H- \) bonding are
heated, compound ' \( A^{\prime} \) boils at lower
temperature than' \( B^{\prime} \). Which of the
following is correct for \( ^{\prime} \boldsymbol{A}^{\prime} \) and \( ^{\prime} \boldsymbol{B}^{\prime} \) ?
A. Intermolecular \( H \) -bonding present in' \( A^{\prime} \)
B . Intramolecular \( H \) -bonding present in' \( ^{\prime} A^{\prime} \)
C. Intramolecular \( H \) -bonding present in \( ^{\prime} B^{\prime} \)
D. None of the above
Subject: Chemistry
Which of the following will have same value of van't Hoff factor as that of
\( \boldsymbol{K}_{4}\left[\boldsymbol{F} \boldsymbol{e}(\boldsymbol{C} \boldsymbol{N})_{6}\right] ? \)
A \( \cdot A l_{2}\left(S O_{4}\right)_{3} \)
в. \( A l C l_{3} \)
c. \( A l\left(N O_{3}\right)_{3} \)
\( \mathbf{D} \cdot A l(O H)_{3} \)
Subject: Physics
The dimension of \( 1 / 2 \varepsilon_{o} E^{2}\left(\varepsilon_{o}\right. \)
permittivity of free space; E: electric field) is?
A . \( M L T^{-} \)
В. \( M L^{2} T^{-2} \)
c. \( M L^{-1} T^{-2} \)
D. \( M L^{2} T^{-1} \)
Subject: Maths
A man leaves a town at 8 a.m. on his
bicycle moving at \( 10 \mathrm{km} / \mathrm{hr} \). Another
man leaves the same town at 9 a.m. on
his scooter moving at \( 30 \mathrm{km} / \mathrm{hr} . \) At what time does he overtake the man on the
bicycle?
A. 8.30 a.m.
B. 9 a.m.
c. 9.30 a.m.
D. 10 am
Subject: Maths
If the vertices \( A, B, C \) of a triangle \( A B C \) are the points with position vectors
\( \boldsymbol{a}_{1} \hat{\boldsymbol{i}}+\boldsymbol{a}_{2} \hat{\boldsymbol{j}}+\boldsymbol{a}_{3} \hat{\boldsymbol{k}}, \boldsymbol{b}_{1} \hat{\boldsymbol{i}}+\boldsymbol{b}_{2} \hat{\boldsymbol{j}}+\boldsymbol{b}_{3} \hat{\boldsymbol{k}}, \boldsymbol{c}_{1} \hat{\boldsymbol{i}}+ \)
\( c_{2} \hat{j}+c_{3} \hat{k} \) respectively, what are the
vectors determined
by its sides? Find the length of these
vectors.
Subject: Maths
A roller of diameter \( 70 \mathrm{cm} \) and length
\( 2 \mathrm{m} \) is rolling on the ground What is the area covered by the roller in 50 revolutions?
A. \( 180 m^{2} \)
в. \( 200 m^{2} \)
c. \( 220 m^{2} \)
D. \( 240 m^{2} \)
Subject: Chemistry
The reduction potential at \( \mathrm{pH}=14 \) for the \( \boldsymbol{C u}^{2+} / \boldsymbol{C u} \) couples is:
\( \left[\mathrm{Given}, \boldsymbol{E}_{\boldsymbol{C u}^{2+} / \boldsymbol{C u}}^{\boldsymbol{o}}=\right. \)
\( \left.\mathbf{0 . 3 4} \boldsymbol{V} ; \quad \boldsymbol{K}_{s p} \boldsymbol{C u}(\boldsymbol{O H})_{2}=\mathbf{1} \times \mathbf{1 0}^{-\mathbf{1 9}}\right] \)
A . \( 0.34 \mathrm{V} \)
в. \( -0.34 \mathrm{V} \)
c. \( 0.22 V \)
D. \( -0.22 V \)
Subject: Physics
A student is standing at a distance of
\( \mathbf{5 0} \) metre from the bus. As soon as the
bus begins its motion with an
acceleration of \( 1 \mathrm{ms}^{-2} \), the students
starts running towards the bus with a
uniform velocity \( u \). Assuming the motion to be along a straight road, the
minimum value of \( u, \) so that the
student is able to catch the bus is:
\( \mathbf{A} \cdot 8 m s^{-1} \)
B. \( 5 \mathrm{ms}^{-1} \)
\( \mathrm{c} \cdot 12 \mathrm{ms}^{-1} \)
D. \( 10 \mathrm{ms}^{-1} \)
Subject: Physics
Two spherical bodies the mass \( M \) and \( \mathbf{5} M \boldsymbol{m} \) and radii \( \boldsymbol{R} \) and \( \mathbf{2} \boldsymbol{R} \) respectively
are released in free space with initial
separation between their centres equal
to \( 12 R \) If they attract each other due to gravitational force only, then the distance covered by the smaller body just before collision is:
\( \mathbf{A} \cdot 2.5 R \)
B. \( 4.5 R \)
c. \( 7.5 R \)
D. \( 1.5 R \)
Subject: Chemistry
\( \boldsymbol{K}_{\mathbf{3}}\left[\boldsymbol{A l}\left(\boldsymbol{C}_{2} \boldsymbol{O}_{4}\right)_{3}\right] \) is called:
A. Potassium alumino oxalate
B. Potassium trioxalatoaluminate(III)
C. Potassium aluminium(III) oxalate
D. Potassium trioxalato aluminate(VI)
Subject: Physics
A particle executes SHM with time period \( \boldsymbol{T} \) and amplitude \( \boldsymbol{A} \). The
maximum possible average velocity in time \( \boldsymbol{T} / \boldsymbol{4} \) is:
\( ^{\mathrm{A}} \cdot \frac{2 A}{T} \)
в. \( \frac{4 A}{T} \)
c. \( \frac{8 A}{T} \)
D. \( \frac{4 \sqrt{2} A}{T} \)
Subject: Maths
The ratio in which the plane \( 2 x+3 y- \)
\( \mathbf{2} z+\mathbf{7}=\mathbf{0} \) divides the line segment
joining the points (-1,1,3),(2,3,5) is
A .3: 5
B. 7: 5
\( \mathbf{c} \cdot 9: 11 \)
D. 1: 5 externally
Subject: Maths
The probability that at least one of the
events \( A \) and \( B \) occurs is 0.7 and they occur simultaneously with probability
\( 0.2 . \) Then \( P(\bar{A})+P(\bar{B})= \)
A . 1.8
B. 0.6
c. \( 1 . \)
D. 1.
Subject: Physics
A body of mass 5 kg at rest is under the action of a force which gives it a
velocity given by \( v=3 t \mathrm{m} / \mathrm{s}, \) here \( t \) is
time in seconds. The work done by the force in two seconds will be:
\( \mathbf{A} \cdot 90 J \)
B. \( 45 J \)
\( c .180 J \)
D. \( 30 J \)
Subject: Physics
The relation between time \( t \) and
distance \( x \) is \( t=a x^{2}+b x \) where a and \( b \)
are constant. The acceleration is:
A . \( -2 a b v^{2} \)
B. \( 2 b v^{2} \)
c. \( -2 a v^{2} \)
D. \( 2 a v^{2} \)
Subject: Chemistry
Rate constant \( k=2 \times \)
\( 10^{3} \operatorname{mol}^{-1} L s^{-1} \) and \( E_{a}=2.0 \times \)
\( 10^{2} k J m o l^{-1} . \) What is the value of \( A \)
when \( \boldsymbol{T} \rightarrow \infty ? \)
A \( .2 .0 \times 10^{2} \mathrm{mol}^{-1} \)
В. \( 2.0 \times 10^{3} \) mol\( ^{-1} L s^{-1} \)
c. \( 2.0 \times 10^{3} \) mol \( L^{-1} s^{-1} \)
D. 2.0 \( \times 10^{3} \) mol \( ^{-1} s^{-1} \)
Subject: Physics
Order of magnitude of density of
Uranium nucleus is, \( \left[\boldsymbol{m}_{\boldsymbol{p}}=\mathbf{1 . 6 7} \times\right. \)
\( \left.\mathbf{1 0}^{-\mathbf{2 7}} \mathbf{k g}\right] \)
\( \mathbf{A} \cdot 10^{20} k g / m^{3} \)
B . \( 10^{17} \mathrm{kg} / \mathrm{m}^{3} \)
C. \( 10^{14} \mathrm{kg} / \mathrm{m}^{3} \)
D. \( 10^{11} \mathrm{kg} / \mathrm{m}^{3} \)
Subject: Physics
In an electron transition inside a
hydrogen atom, orbital angular momentum may change by ( \( h= \) Planck
constant)
This question has multiple correct options
\( A \cdot h \)
в. \( \frac{h}{\pi} \)
c. \( \frac{h}{2 \pi} \)
D. \( \frac{h}{4 \pi} \)
Subject: Biology
Energy required to develop proton
gradient during respiration comes from
A. Oxidation process of \( N A D H \)
B. Oxidation-reduction process of \( C O_{2} \) and \( N A D H \) respectively
C. From heat energy developed during respiration
D. Oxidation-reduction process of \( N A D P H \) and \( O_{2} \) respectively
Subject: Chemistry
Critical temperature of \( C O_{2} \) is \( 31.2^{\circ} C \)
In summer, the room temperature is
\( 40^{\circ} \mathrm{C}: \)
A. \( C O_{2} \) cannot be liquefied
B. Can be liquefied with increase of pressure
c. can be liquefied with decrease of pressure
D. can be liquefied if temperature of \( C O_{2} \) is decreased below 31.2
Subject: Maths
\( \mathbf{A}=\left[\begin{array}{ccc}\mathbf{1} & \mathbf{2} & \mathbf{- 3} \\ \mathbf{5} & \mathbf{0} & \mathbf{2} \\ \mathbf{1} & \mathbf{- 1} & \mathbf{1}\end{array}\right] \) and \( \mathbf{B}= \)
\( \left[\begin{array}{ccc}3 & -1 & 2 \\ 4 & 2 & 5 \\ 2 & 0 & 3\end{array}\right] \)
Find the matrix \( C \) satisfying the relation
\( A+2 C=B \)
Subject: Chemistry
Assertion
Corrosion of iron is commonly known as
rusting.
Reason
Corrosion of iron occurs in presence of
water and air.
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 uniform circular disc has radius \( \boldsymbol{R} \)
and mass \( m . \) A particle also of mass \( m \)
is fixed at a point \( A \) on the edge of the
disc as shown in the figure. The disc can rotate freely about a fixed
horizontal chord \( P Q \) that is at a
distance \( R / 4 \) from the centre \( C \) of the
disc. The line \( A C \) is perpendicular to
\( P Q . \) Initially the disc is held vertical
with the point \( A \) at its highest position.
If is then allowed to fall so that it starts
rotating about \( P Q . \) The linear speed of
the particle as it reaches its lowest position is \( \sqrt{n g R}, \) where \( n \) is an integer
Find the value of \( n \)
Subject: Chemistry
The value of the equilibrium constant
for the reaction
\( \boldsymbol{H}_{2}(\boldsymbol{g})+\boldsymbol{I}_{2}(\boldsymbol{g}) \rightleftharpoons 2 \boldsymbol{H} \boldsymbol{I}(\boldsymbol{g}) \)
at \( 720 \mathrm{K} \) is \( 48 . \) What is the value of the
equilibrium constant for the following
reaction?
\( \frac{1}{2} \boldsymbol{H}_{2}(\boldsymbol{g})+\frac{1}{2} \boldsymbol{I}_{2}(\boldsymbol{g}) \rightleftharpoons \boldsymbol{H} \boldsymbol{I}(\boldsymbol{g}) \)
Subject: Chemistry
\( 100 m l \) of \( 0.2 M H C l \) are mixed with
\( \mathbf{1 0 0} \boldsymbol{m l} \) of \( \mathbf{0 . 2} \boldsymbol{M} \boldsymbol{C H}_{3} \boldsymbol{C O O N a}, \) the \( \boldsymbol{p} \boldsymbol{H} \)
of the resulting solution would be nearly:
\( \mathbf{A} \cdot \mathbf{1} \)
в. \( 0 . \)
c. 2.875
D. 1.
Subject: Chemistry
The correct order of bond angles is:
\( \mathbf{A} \cdot H_{2} S<N H_{3}<B F_{3}<S i H_{4} \)
B. \( N H_{3}<H_{2} S<S i H_{4}<B F_{3} \)
\( \mathbf{c} \cdot H_{2} S<N H_{3}<S i H_{4}<B F_{3} \)
\( \mathbf{D} \cdot H_{2} S<S i H_{4}<N H_{3}<B F_{3} \)
Subject: Maths
If \( \boldsymbol{A}=\{\mathbf{2}, \mathbf{3}, \mathbf{5}\}, \boldsymbol{B}=\{\mathbf{2}, \mathbf{5}, \boldsymbol{6}\}, \) then
\( (\boldsymbol{A}-\boldsymbol{B}) \times(\boldsymbol{A} \cap \boldsymbol{B}) \) is
A \( \cdot\{(3,2),(3,3),(3,5)\} \)
B - \{(3,2),(3,5),(3,6)\}
c. \{(3,2),(3,5)\}
D. none of these
Subject: Physics
A hollow cylinder has a charge \( q \) coulomb within it. If \( f \) the electric flux in
units of volmeter associated with the
curved surface \( \mathrm{B} \), the fl乂 linked with the
plane surface A in units of V-m will be:
A \( \cdot \frac{q}{2 \varepsilon_{0}} \)
в. \( \frac{\Phi}{3} \)
c. \( \frac{q}{\varepsilon_{0}} \)
D. \( \frac{4 q}{\varepsilon_{0}} \)
Subject: Chemistry
The ions \( N^{3-}, O^{2-}, F^{-}, N a^{+}, M g^{2+} \) are isoelectronic. Their ionic radii shows:
A. an increase from \( N^{3-} \) to \( F^{-} \) and then decrease from \( N a^{+} \) to \( M g^{2+} \)
B. a decrease from \( N^{3-} \) to \( F^{-} \) and then increase from \( N a^{+} \) to \( M g^{2+} \)
C . a significant increase from \( N^{3-} \) to \( M g^{2+} \)
D. a significant decrease from \( N^{3-} \) to \( M g^{2+} \)
Subject: Maths
\( S \) and \( T \) are the foci of an ellipse and \( B \)
is an end of the minor axis. If \( S T B \) is an
equilateral triangle, then what is the value of \( e \) ?
A \( \cdot \frac{1}{4} \)
B. \( \frac{1}{3} \)
\( c \cdot \frac{1}{2} \)
D. \( \frac{2}{3} \)
Subject: Chemistry
In the \( X e F_{4} \) molecule, the \( X e \) atom is
in the:
A \( \cdot s p^{2} \) -hybridisation state
B. \( s p^{3} \) -hybridisation state
c. \( s p^{2} d \) -hybridized state
D. \( s p^{3} d^{2} \) -hybridized state
Subject: Physics
A planet of radius \( \boldsymbol{R}=\frac{\mathbf{1}}{\mathbf{1 0}} \times \)
(radiusof Earth) has the same mass
density as Earth. Scientists dig a well of depth \( \frac{R}{5} \) on it and lower a wire of the same length and of linear mass density \( 10^{-3} k g m^{-1} \) into it. If the wire is not touching anywhere, the force applied at the top of the wire by a person holding it in place is (take the radius of Earth \( = \)
\( 6 \times 10^{6} m \) and the acceleration due to
gravity of Earth is \( 10^{-2} \) )
\( \mathbf{A} \cdot 96 N \)
в. \( 108 N \)
c. \( 120 N \)
D. \( 150 N \)