AkshitPareek2004/jee-question-analyzer-data huggingface dataset:
Subject: Chemistry
Select correct statement for the lesser
number of oxidations states in \( 3 d- \)
series.
A. In the beginning of the series it can be due to the presence of too few electrons to loose or share.
B. Towards the end of the series, it can be ascribed to the presence of too many electrons and thus fewer empty orbitals to share electrons with the ligands.
\( \mathrm{c} . \) Both \( (\mathrm{A}) \) and \( (\mathrm{B}) \) are correct
D. None of the above is correct
Subject: Physics
The relation between \( \theta, b \) and \( D \) is:
(where \( \theta \) is the parallax angle, \( b \) is the distance between two points of separation, \( D \) is the distance of source from any point of observation)
A \( \cdot \theta=\frac{b}{D} \)
B. \( \theta=\frac{D}{b} \)
c. \( \theta=b \times D \)
D \( \cdot \theta=b^{2} \times D \)
Subject: Physics
Two identical metal plates, separated by a distance d form a parallel plate
capacitor. A metal sheet of thickness \( \frac{a}{2} \) of the same area as that of either plate, is
inserted between the plates. The ratio of the capacitance's after the insertion of the sheet to that before insertion is:
2
\( \mathbf{A} \cdot \sqrt{2}: 1 \)
B. 2:
c. 1:
D. \( 1: \sqrt{2} \)
Subject: Physics
A converging lens is used to form an image on a screen. When the upper half of the lens is covered by an opaque
screen.
a) Half of the image will disappear
b) No part of image will disappear
c) Intensity of the image will increase
d. Intensity of the image will decrease
\( A \cdot \) a and \( c \) are true
B. a and d are true
c. b and c are true
D. b and d are true
Subject: Chemistry
Assertion
\( F \) -atom has less electron affinity than
\( C l^{-} \) atom.
Reason
Additional electrons are repelled more
effectively by \( 3 p \) electrons in \( C l \) atom than by \( 2 p \) electrons in \( F \) -atom.
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: Physics
Find the external work done by the system in kcal, when 20 kcal of heat is
supplied to the system the increase in the internal energy is \( 8400 J(J= \) \( 4200 J / k c a l) \)
A . \( 16 ~ k c a l l \)
B. 18 kcall
c. 20 k call \( l \)
D. 19 kcall \( l \)
Subject: Chemistry
In which of the following equilibrium,
\( \boldsymbol{K}_{c} \) and \( \boldsymbol{K}_{\boldsymbol{p}} \) are not equal?
\( \mathbf{A} \cdot 2 C(s)+O_{2}(g) \rightleftharpoons 2 C O(g) \)
B \( \cdot 2 N O(g) \rightleftharpoons N_{2}(g)+O_{2}(g) \)
\( \mathbf{c} \cdot \operatorname{SO}_{2}(g)+N O_{2}(g) \rightleftharpoons S O_{3}(g)+N O(g) \)
D \( \cdot H_{2}(g)+I_{2}(g) \rightleftharpoons 2 H I(g) \)
Subject: Physics
A body is executing simple harmonic motion. At a displacement \( x \), its
potential energy is \( E_{1} \) and at
displacement \( y, \) its potential energy is
\( \boldsymbol{E}_{2} \) The potential energy \( \mathrm{E} \) at a displacement \( (x+y) \) is
A \( \cdot E_{1}+E_{2} \)
B. \( \sqrt{E_{1}^{2}+E_{2}^{2}} \)
c. \( E_{1}+E_{2}+2 \sqrt{E_{1} E_{2}} \)
D. \( \sqrt{E_{1} E_{2}} \)
Subject: Physics
A bomb is dropped from an aeroplane flying horizontally with a velocity of \( \mathbf{7} 20 k m / h \) at an altitude of \( 980 m . \) Time taken by the bomb to hit the ground is
\( \mathbf{A} \cdot 1 s \)
B. \( 7.2 s \)
c. \( 14.14 s \)
D. \( 0.15 s \)
Subject: Maths
\( \operatorname{Let} f(x)=\left\{\begin{array}{cl}\min \left\{x, x^{2}\right\}, & x \geq 0 \\ \max \left\{2 x, x^{2}-1\right\}, & x<0\end{array}\right. \)
Then which of the following is not true?
A. \( f(x) \) is continuous at \( x=0 \)
B. \( f(x) \) is not differentiable at \( x=1 \)
\( \mathrm{c} . f(x) \) is not differentiable at exactly three points
D. none of these
Subject: Physics
True or False :
Three positive (red) and three negative
(blue) point charges are arranged
symmetrically around a circle centered
on point \( P \) as shown in the diagram. Al
point charges are of the same
magnitude.
Electric Field at \( \mathrm{P} \) will be zero while
electric potential at point \( P \) will be non
zero.
A. True
B. False
Subject: Chemistry
Assertion
In nature chlorine does not occur in free
state.
Reason
Chlorine is highly electronegative
element.
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: Physics
A copper rod of length \( L \) and radius \( r \) is suspended from the ceiling by one of its ends. What will be elongation of the rod due to its own weight when \( \rho \) and \( Y \) are
the density and Young's modulus of the copper respectively?
\( ^{\text {A } \cdot \frac{\rho^{2} g L^{2}}{2 Y}} \)
\( ^{\mathrm{B}} \cdot \frac{\rho g L^{2}}{2 Y} \)
c. \( \frac{\rho^{2} g^{2} L^{2}}{2 Y} \)
D. \( \frac{\rho g L}{2 Y} \)
Subject: Maths
Find what the following equations become when the origin is shifted to the
point (1,1)\( ? \)
(i) \( x^{2}+x y-3 x-y+2=0 \)
\( \boldsymbol{x}^{2}-\boldsymbol{y}^{2}-\boldsymbol{2} \boldsymbol{x}+\boldsymbol{2} \boldsymbol{y}=\mathbf{0} \)
(iii) \( \boldsymbol{x y}-\boldsymbol{x}-\boldsymbol{y}+\mathbf{1}=\mathbf{0} \)
\( \boldsymbol{x} \boldsymbol{y}-\boldsymbol{y}^{2}-\boldsymbol{x}+\boldsymbol{y}=\mathbf{0} \)
Subject: Maths
For what value of \( x, \) is the matrix \( A= \)
\( \left[\begin{array}{ccc}\mathbf{0} & \mathbf{1} & -\mathbf{2} \\ -\mathbf{1} & \mathbf{0} & \mathbf{3} \\ \boldsymbol{x} & \mathbf{- 3} & \mathbf{0}\end{array}\right] \) a skew-symmetric
matrix?
Subject: Chemistry
Give the structures of \( c i s- \)
\( \left[\boldsymbol{C o C l}_{2}(\boldsymbol{e n})_{2}\right] \) and \( \boldsymbol{f a c i a l}- \)
\( \left[\boldsymbol{C o}\left(\boldsymbol{N} \boldsymbol{H}_{3}\right)_{3}\left(\boldsymbol{N} \boldsymbol{O}_{2}\right)_{3}\right] \) isomers
Subject: Physics
Two particles are executing simple harmonic motion of the same
amplitude \( A \) and frequency \( \omega \) along the x-axis. Their mean position is separated by distance \( \boldsymbol{X}_{\mathbf{0}}\left(\boldsymbol{X}_{\mathbf{0}}>\boldsymbol{A}\right) . \) If the
maximum separation between them is
\( \left(X_{0}+A\right), \) the phase difference between
their motion is
\( \mathbf{A} \cdot \pi / 2 \)
в. \( \pi / 3 \)
c. \( \pi / 4 \)
D. \( \pi / 6 \)
Subject: Maths
Three forces of magnitude \( 6 N, 6 N \) and
\( \sqrt{72} N \) act at a corner of a cube along
three sides as shown in the figures.The
resultant of these forces is:
A . 12 N along ob
B. 18 N along of
c. \( 18 N \) along \( 0 c \)
D. 12 N along of
Subject: Maths
If \( P \) is a point \( (x, y) \) on the line \( y=-3 x \)
such that \( \boldsymbol{P} \) and \( \boldsymbol{Q}(\boldsymbol{3}, \boldsymbol{4}) \) are on opposite
side of the line \( 3 x-4 y=8, \) then:
A \( \cdot x>\frac{8}{5}, y<\frac{-8}{15} \)
В. \( x>\frac{8}{15}, y<-\frac{8}{5} \)
c. \( x=\frac{8}{15}, y=\frac{-8}{5} \)
D. \( x=2, y=-2 \)
Subject: Biology
Palaeontologists unearthed a human skull during excavation. A small fragment of the scalp tissue was still attached to it. Only little DNA could be extracted from it. If the genes of the ancient man need to be analysed, the
best way of getting sufficient amount of DNA from this extract is
A. Hybridising the DNA with a DNA probe
B. Subjecting the DNA to polymerase chain reaction
c. Subjecting the DNA to gel electrophoresis
D. Treating the DNA with restriction endonucleases
Subject: Chemistry
From the above setup answer the
following:
Why could you not use this setup for
preparing \( H_{2} \) if the generator contained
\( Z n^{+} \) vinegar?
A. Hydrogen would not be produced
B. The setup of the generator is improper
C. The generator must be heated with a burner
D. The delivery tube setup is wrong
E. The gas cannot be collected over water
Subject: Chemistry
Assertion
\( H_{3} P O_{3} \) is a dibasic acid.
Reason
There are two hydrogen atoms directly
attached to phosphorus.
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: Maths
Given lines \( : 4 x+3 y=3 \) and \( 4 x+ \)
\( 3 y=12 \) The other possible equation of
straight line passing through (-2,-7) and making an intercept of length 3 between the given lines.
A. \( 7 x+24 y+182=0 \)
в. \( 5 x-7 y=39 \)
c. \( 3 y-11 x=1 \)
D. \( 7 x+16 y=-126 \)
Subject: Physics
In the figure shown ABCDEFGH is a
square conducting frame of side \( 2 m \)
and resistance \( 1 \Omega / m . \) A uniform magnetic field B is applied perpendicular to the plane and pointing
inwards. It increases with time at a
constant rate of \( 10 T / s . \) Then: \( (A B=B C \)
\( =C D=B H=1 m) \)
rhis question has multiple correct options
A. current in DH arm is zero
B. power consumed as heat in the circuit 200 watt
C. heat produced in DH and BF arm is zero
D. current in AG and CB arm is equal and its magnitude \( 5 A \)
Subject: Maths
Area bounded by the curves \( y=x^{2} \) and
\( y=2-x^{2} \) is
A \( \cdot \frac{8}{3} \) sq. units
B. \( \frac{3}{8} \) sq. units
c. \( _{-5 \text {funits }}^{\text {s }} \)
D. None of these
Subject: Chemistry
When an electron makes a transition
from \( (n+1) \) state to \( n \) state, the
frequency of emitted radiations is related to n according to \( (n>>1) \)
\( A \cdot v \alpha n^{-3} \)
B. \( v \alpha n^{2} \)
c. \( v \alpha n^{3} \)
D. \( v \alpha \) n \( ^{\frac{2}{3}} \)
Subject: Physics
An a.c. supply of 100 volts is applied to a capacitor of capacitance \( 20 \mu \) F. If the current in the circuit is \( 0.628 \mathrm{A} \), the
frequency of a.c. must be
\( A \cdot 50 \mathrm{Hz} \)
B. 60 Н
c. 25 нz
D. \( 40 \mathrm{Hz} \)
Subject: Physics
Water if often used as a coolant, a liquid to remove heat from things like hot
engines. One reasons is that water can absorb a lot of heat without changing temperature too much.

What property of water allows it to do this?
A. Water has a high latent heat of fusion
B. Water has a low latent heat of fusion.
c. water has a high specific heat capacity.
D. Water has a low specific heat capacity.
E. Water has a low latent heat of vaporization
Subject: Chemistry
Arrange according boiling point:
\( \boldsymbol{C H}_{3} \boldsymbol{C H}_{2} \boldsymbol{C H}_{3}, \boldsymbol{C H}_{3} \boldsymbol{C H O}, \boldsymbol{C H}_{3} \boldsymbol{C H}_{2} \boldsymbol{C} \)
Subject: Biology
Assertion
Oxidation of one molecule of NADH
gives rise to 3 molecules of ATP and
that of one molecule of \( \boldsymbol{F A D H}_{2} \)
produces 2 molecules of ATP.
Reason

The number of ATP molecules
synthesised depends on the nature of the electron donor.
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: Maths
N characters of information are held on
magnetic tape, in batches of \( x \) characters each,the batch processing
time is \( \alpha+\beta x^{2} \) seconds, \( \alpha \) and \( \beta \) are
constants. The optical value of \( x \) for fast
processing is,
\( \mathbf{A} \cdot \alpha / \beta \)
в. \( \beta / \alpha \)
c. \( \sqrt{\alpha / \beta} \)
D. \( \sqrt{\beta / \alpha} \)
Subject: Maths
Four identical cubes are joined end to
end to form a cuboid. If the total surface
area of the resulting cuboid is \( 648 \mathrm{cm}^{2} \)
find the length of edge of each cube. Also, find the ratio between the surface area of resulting cuboid and the surface
area of a cube.
A. \( 9 \mathrm{cm} \) and 3: 1
B. 2 cm and 3: 1
c. \( 6 \mathrm{cm} \) and 3: 1
D. \( 3 \mathrm{cm} \) and 3: 1
Subject: Physics
The magnetic moment associated with
a circular coil of 35 turns and radius 25
\( \mathrm{cm}, \) if it carries a current of \( 11 \mathrm{A} \) is:
A \( .72 .2 A m^{2} \)
B . \( 70.5 A m^{2} \)
c. \( 74.56 A m 2 \)
D. \( 75.56 A m^{2} \)
Subject: Chemistry
Arrange the following groups in order of decreasing -R (or -M) power.
1) \( \boldsymbol{N} \boldsymbol{O}_{\boldsymbol{2}} \)
2) \( \boldsymbol{S O}_{3} \boldsymbol{H} \)
3) \( C F_{3} \)
4) \( C H O \)
\( A \cdot 1>3>2>4 \)
B. \( 1>2>3>4 \)
\( c \cdot 1>4>3>2 \)
\( D \cdot 4>3>2>1 \)
Subject: Chemistry
In the following reaction \( 2 H_{2} O_{2}(a q) \rightarrow \)
\( 2 H_{2} O(\ell)+O_{2}(g) \) rate of formation of
\( O_{2} \) is \( 36 g \min ^{-1} \)
(a) What is the rate of formation of \( H_{2} O \)
(b) What is the rate of disappearance of
\( \boldsymbol{H}_{2} \boldsymbol{O} \)
Subject: Chemistry
According to this reaction, ethanol is :
\( 2 \mathrm{C}_{2} \mathrm{H}_{5} \mathrm{OH}+2 \mathrm{Na}-\cdots->2 \mathrm{C}_{2} \mathrm{H}_{5} \mathrm{ONa}+\mathrm{H}_{2} \)
A. Acidic in nature
B. Basic in anture
c. Amphoteric
D. Neutral
Subject: Maths
Let \( f \) be a decreasing function in \( (a, b] \)
then which of the following must be true?
A. \( f \) is continuous at \( b \)
B \( \cdot f^{\prime}(b)<0 \)
c. \( \lim _{x \rightarrow b} f(x) \leq f(b) \)
D. \( \lim _{x \rightarrow b} f(x) \geq f(b) \)
Subject: Physics
A glass tube of \( 2 \mathrm{m} \) length is filled with
water. The water can be drained out
slowly at the bottom of the tube. If a vibrating tuning fork of frequency 500 \( \mathrm{Hz} \) is brought at the upper end of the tube and the velocity of sound is 300 \( \mathrm{m} / \mathrm{s}, \) then the total number of
resonances obtained will be
\( A \cdot 6 \)
B. 7
\( c \cdot 2 \)
D.
Subject: Physics
A charge \( q_{1}=2 \mu C \) is located at the
origin and a charge \( \boldsymbol{q}_{2}=-\boldsymbol{6} \boldsymbol{\mu} \boldsymbol{C} \) is
located at \( (0,3 m) . \) Find the total
electric potential due to the charges at point \( (4 m, 0) \)
\( \mathbf{A} \cdot-6.29 e V \)
В. \( -6.29 m V \)
\( \mathbf{c} .-6.29 M V \)
D. - \( 6.29 V \)
Subject: Chemistry
Assertion
For \( I=2, m_{1} \) can be -2,-1,0,+1 and +2
Reason
For a given value of \( \mathrm{I},(2 \mathrm{l}+1) \) values of \( \boldsymbol{m}_{1} \)
are possible.
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 escape velocity for the earth is \( v_{e} \)
The escape velocity for a planet whose radius is four times and density is nine times that of the earth, is :
A. \( 36 v_{e} \)
B. \( 12 v_{e} \)
\( c \cdot 6 v_{e} \)
D. \( 20 v_{c} \)
Subject: Physics
A washing machine rated \( 300 W \) is operated for one hour/day. If the cost of a unit is Rs 3.00 then the cost of the
energy to operate a washing machine for the month of March is
A \( . \) Rs 25.60
B . \( R s 27.50 \)
c. \( R s 27.90 \)
D. \( R s 26.90 \)
Subject: Maths
The region represented by the inequation system \( \boldsymbol{x}, \boldsymbol{y} \geq \mathbf{0}, \boldsymbol{y} \leq \mathbf{6}, \boldsymbol{x}+ \)
\( y \leq 3 \) is
A. Unbounded in first quadrant
B. Unbounded in first and second quadrants
C. Bounded in first quadrant
D. None of the above
Subject: Maths
Find the equation of the plane which
passes through the point (3,2,0) and contains the line \( \frac{\boldsymbol{x}-\mathbf{3}}{\mathbf{1}}=\frac{\boldsymbol{y}-\mathbf{6}}{\mathbf{5}}= \)
\( \frac{z-4}{4} ? \)
Subject: Maths
Show that:
\( \left|\begin{array}{lll}\boldsymbol{a} & \boldsymbol{b} & \boldsymbol{c} \\ \boldsymbol{b} & \boldsymbol{c} & \boldsymbol{a} \\ \boldsymbol{c} & \boldsymbol{a} & \boldsymbol{b}\end{array}\right|^{2}= \)
\[
\left|\begin{array}{ccc}
2 b c-a^{2} & c^{2} & b^{2} \\
c^{2} & 2 a c-b^{2} & a^{2} \\
b^{2} & a^{2} & 2 a b-c^{2}
\end{array}\right|=
\]
\( \left(a^{3}+b^{3}+c^{3}-3 a b c\right)^{2} \)
Subject: Maths
In the binomial expansion of \( (1+y)^{n} \)
where \( n \) is a natural number, the
coefficients of the \( 5^{t h}, 6^{t h} \) and \( 7^{t h} \) terms
are in A.P, find \( n \)
This question has multiple correct options
\( \mathbf{A} \cdot n=7 \)
B . \( n=14 \)
c. \( n=8 \)
D. \( n=16 \)
Subject: Maths
The G.M. of n positive terms \( \boldsymbol{x}_{1}, \boldsymbol{x}_{2}, \ldots . . \boldsymbol{x}_{n} \)
is
A \( \cdot\left(x_{1} \times x_{2} \times \ldots \ldots \times x_{n}\right)^{n} \)
B \( \cdot \frac{1}{n}\left(x_{1} \times x_{2} \times \ldots \times x_{n}\right) \)
c. \( \left(x_{1} \times x_{2} \times \ldots \times x_{n}\right)^{1 / n} \)
D. None of these
Subject: Chemistry
If one were to apply Bohr model to a
particle of mass ' \( m^{\prime} \) and charge \( ^{\prime} q^{\prime} \) moving in a plane under the influence of
a magnetic field \( B \), the energy of the
charged particle in the \( n^{t h} \) level will be:
\( ^{A} \cdot n\left(\frac{h q B}{8 \pi m}\right) \)
в. \( n\left(\frac{h q B}{4 \pi m}\right) \)
c. \( n\left(\frac{h q B}{2 \pi m}\right) \)
D. \( n\left(\frac{h q B}{\pi m}\right) \)
Subject: Maths
If \( z_{1}, z_{2}, z_{3} \) be three unimodular complex
numbers then \( \boldsymbol{E}=\left|\boldsymbol{z}_{1}-\boldsymbol{z}_{2}\right|^{2}+ \)
\( \left|z_{2}-z_{3}\right|^{2}+\left|z_{3}-z_{1}\right|^{2} \) then cannot
exceed
\( A \cdot 6 \)
B.
\( c \cdot 12 \)
D. none
Subject: Chemistry
\( \boldsymbol{A l}+\boldsymbol{X} \stackrel{\Delta}{\rightarrow} \boldsymbol{Y} \stackrel{\boldsymbol{H}_{2} \boldsymbol{O}}{\rightarrow} \boldsymbol{Z}+\boldsymbol{N} \boldsymbol{H}_{3} \)
Here \( \boldsymbol{X}, \boldsymbol{Y} \) and \( \boldsymbol{Z} \) are respectively:
\( \mathbf{A} \cdot O_{2}, A l_{2} O_{3}, A l(O H)_{3} \)
в. \( N_{2}, \) АlN, \( A l_{2} O_{3} \)
c. \( N_{2}, \) AlN, \( A l(O H)_{3} \)
D. \( C O_{2}, A l_{4} C_{3}, C H_{4} \)
Subject: Chemistry
A small particle of mass \( m \) moves in such a way that \( P . E=-\frac{1}{2} m k r^{2}, \) where
\( k \) is a constant and \( r \) is the distance of
the particle from origin. Assuming Bohr's model of quantization of angular momentum and circular orbit, \( r \) is
directly proportional to:
\( \mathbf{A} \cdot n^{2} \)
в.
c. \( \sqrt{n} \)
D. none of these
Subject: Chemistry
4 moles of \( H_{2} \) at \( 500 \mathrm{K} \) is kept in an
adiabatic rigid container.After some time it was found that 1 mole of the gas
dissociated intoHatoms. The
dissociation energy permole of \( \boldsymbol{H}_{2} \) gas is 2000 cal,Let the new temperature of
the gas be 100 T. The integral value of \( T \) is : (Use \( \mathrm{R}=2 \mathrm{cal} / \mathrm{mole}-\mathrm{K}) \)
A. 3
B. 4
\( c \cdot 5 \)
D. 6
E. 2
Subject: Maths
Solve
\( \left|\begin{array}{ccc}\boldsymbol{x} & \boldsymbol{2} & \boldsymbol{0} \\ \boldsymbol{2} & -\boldsymbol{x} & \boldsymbol{0} \\ \boldsymbol{0} & \boldsymbol{3} & \boldsymbol{x}\end{array}\right|=\mathbf{0} \)
Subject: Physics
Alternating current is flowing in inductance \( L \) and resistance \( R \). The
frequency of source is \( \frac{\omega}{2 \pi} . \) Which of the
following statement is correct.
A. For low frequency the limiting value of impedance is \( L \)
B. For high frequency the limiting value of impedance is \( L \omega \)
C. For high frequency the limiting value of impedance is \( R \)
D. For low frequency the limiting value of impedance is \( L \omega \)
Subject: Physics
A standing wave \( \zeta= \) \( (5 m m) \sin \pi x . \cos (200 t) \) is maintained
in a homogeneous rod with cross-
sectional area \( 0.04 m^{2} \) and density
\( 1000 k g / m^{3} . \) The total mechanicalenergy confined between the sections corresponding to the adjacent displacement nodes is
A. \( 10 J \)
\( J \)
B. \( 20 J \)
c. \( 40 J \)
D. None of these
Subject: Physics
For n moles of gas Vander waal's equation is \( \left(\boldsymbol{P}-\frac{\boldsymbol{a}}{\boldsymbol{V}^{2}}\right)(\boldsymbol{V}-\boldsymbol{b})=\boldsymbol{n} \boldsymbol{R} \boldsymbol{T} \)
Find the dimensions of a and b, where \( \mathrm{P} \)
is gas pressure, \( V= \) volume of gas \( T= \) temperature of gas
Subject: Maths
In. triangle \( A B C, \angle A+\angle B=144 \) and \( \angle A+ \)
\( \angle C=124 \)
Calculate smallest angle of the triangle.
\( A \cdot 36^{\circ} \)
B. \( 56^{\circ} \)
\( c \cdot 46^{\circ} \)
D. none of these
Subject: Chemistry
calculate \( \Delta G_{f}^{\ominus} \) of the reaction:
\( \boldsymbol{A} \boldsymbol{g}^{\oplus}(\boldsymbol{a} \boldsymbol{q})+\boldsymbol{C l}^{\ominus}(\boldsymbol{a} \boldsymbol{q}) \rightarrow \boldsymbol{A} \boldsymbol{g} \boldsymbol{C l}(\boldsymbol{s}) \)
Given \( : \Delta G^{\ominus_{A g C l}}=-109 k J m o l^{-1} \)
\( \Delta G_{\left(C l^{\ominus}\right)}^{\ominus}=-129 k J m o l^{-1} \)
\( \Delta G_{\left(A g^{\oplus)}\right.}^{\ominus}=-77 k J m o l^{-1} \)
в. \( -57 k J \) mol\( ^{-} \)
c. \( 57 k J \) mol \( ^{-1} \)
D. \( 97 k J \) mol \( ^{-1} \)
Subject: Physics
A conducting rod is moved with a
constant velocity \( v \) in a magnetic field. A potential difference appears across
the two ends
\( \mathbf{A} \cdot \) if \( \vec{v} \| \vec{l} \)
B. if \( \vec{v} \| \vec{B} \)
c. if \( \vec{l} \mid \vec{B} \)
D. none of these
Subject: Maths
The general equation of plane which is
parallel to x-axis is
\( \mathbf{A} \cdot a x+b y+c z+d=0, a \neq 0, b \neq 0, c \neq 0 \)
B. \( b y+a x+d=0, a \neq 0, b \neq 0 \)
c. \( a x+c z+d=0, a \neq 0 . c \neq 0 \)
D. \( b y+c z+d=0, b \neq 0, c \neq 0 \)
Subject: Chemistry
An organic compound \( (B) \) is formed by the reaction of ethylmagnesium iodide
\( \left(\boldsymbol{C H}_{3} \boldsymbol{C H}_{2} \boldsymbol{M} \boldsymbol{g} \boldsymbol{I}\right) \) with a substance \( (\boldsymbol{A}) \)
follow by treatment with dilute aqueous
acid. Compound \( (B) \) dose not react with
\( P C C \) in dichloromethane. Identify \( (A) ? \)
A. 0
\( C H_{3}-C-H \)
B. \( \quad o \)
I
\[
C H_{3} C H_{2} C C H_{3}
\]
\( \mathbf{c} \cdot H_{2} C=O \)
D.
Subject: Maths
Solve \( \boldsymbol{x}=\boldsymbol{a}(\boldsymbol{\theta}-\sin \boldsymbol{\theta}), \boldsymbol{y}=\boldsymbol{a}(\mathbf{1}+\cos \boldsymbol{\theta}) \)
find \( \frac{\boldsymbol{d} \boldsymbol{y}}{\boldsymbol{d} \boldsymbol{x}} ? \)
Subject: Chemistry
Which of the following complex shows optical isomerism?
A \( \cdot\left[C d(C N)_{4}\right]^{2-} \)
B \( \cdot\left[\mathrm{Cr}\left(\mathrm{H}_{2} \mathrm{O}\right)_{3} \mathrm{Cl}_{3}\right] .3 \mathrm{H}_{2} \mathrm{O} \)
\( \mathbf{c} \cdot\left[Z n(g l y)_{2}\right]^{\circ} \)
D \( \cdot\left[N i(d m g)_{2}\right]^{\circ} \)
Subject: Maths
The longer side of a parallelogram is
10 \( c m \) and the shorter is 6 \( c m \). find its
Perimeter.
\( \mathbf{A} \cdot 32 c m \)
B. \( 16 \mathrm{cm} \)
\( \mathrm{c} \cdot 64 \mathrm{cm} \)
D. none of these
Subject: Physics
An electron with an initial speed of
\( 4.0 \times 10^{6} m s^{-1} \) is brought to rest by an
electric field. The mass and charge of an
electron are \( 9 \times 10^{-31} \mathrm{kg} \) and \( 1.6 \times \)
\( 10^{-19} \mathrm{C}, \) respectively. Identify the correct
statement.
A. The electron moves from a region of lower potential to higher potential through a potential difference of 11.4
\( v \)
B. The electron moves from a region of higher potential to lower potential through a potential difference of \( 11.4 \mu \mathrm{V} \)
C. The electron moves from a region of lower potential to higher potential through a potential difference of \( 45 \mathrm{v} \)
D. The electron moves from a region of higher potential to lower potential through a potential difference of 45
\( V \)
Subject: Chemistry
If the mole fraction of a solute is
changed from \( \frac{1}{4} \) to \( \frac{1}{2} \) by adding some
solute in 800 g of \( H_{2} O \) solvent, then the ratio of molarity of two solutions will be:
A . 1: 3
B. 1: 4
\( c \cdot 2: 3 \)
D. 1: 2
Subject: Maths
Write the degree of the following polynomial:
\( \mathbf{7} p^{2} \boldsymbol{q}^{3} \boldsymbol{t}-\mathbf{1} \mathbf{1} \boldsymbol{p}^{4} \boldsymbol{t}+\mathbf{2} \boldsymbol{p}^{8} \)
\( A \cdot 3 \)
B. 5
\( c \cdot 7 \)
\( D \)