AkshitPareek2004/jee-question-analyzer-data huggingface dataset:
Subject: Physics
A body suspended from a spring balance is placed in a satellite. Reading
in balance is \( W_{1} \) when the satellite
moves in an orbit of radius \( R \). Reading
in balance is \( W_{2} \) when the satellite
moves in an or bit of radius \( 2 R \). Then.
A. \( W_{1}=W_{2} \)
в. \( W_{1}>W_{2} \)
\( \mathbf{c} \cdot W_{1}<W_{2} \)
D. \( W_{1}=2 W_{2} \)
Subject: Chemistry
A chemistry student trying to detect the metallic ion in a salt makes a paste on
the clean \( P t \) wire-loop of the salt with
concentrated \( H C l . \) When he takes a
small amount of this paste and keeps it in a non-luminous Bunsen flame, the
color of the flame changes to grassy
green. He should, therefore, conclude
that the metal is:
A. \( M g \)
в. \( C a \)
c. \( B a \)
D. \( R a \)
Subject: Physics
A thin bar magnet of length \( 2 L \) is bent at the mid-point so that the angle
between them is \( 60^{\circ} . \) The new length of
the magnet is
A \( \cdot \sqrt{2} L \)
B. \( \sqrt{3} L \)
\( c \cdot 2 L \)
D. \( L \)
Subject: Physics
Point out the wrong statement about the magnetic properties of soft iron and
steel
A. Retentivity of soft iron is more than retentivity of stee
B. Coercivity of soft iron is less than coercivity of steel
c. Area of B-H loop in soft iron is smaller than the area of B-H loop for steel
D. Area of B-H loop in soft iron is greater than the area of B-H loop for steel
Subject: Maths
If the sum of mean and variance of \( B . D \)
for 5 trials is \( 1.8, \) the binomial
distribution is
A \( \cdot(0.8+0.2)^{5} \)
B. \( (0.2+1.8)^{5} \)
c. \( (0.8+0.2)^{10} \)
D. \( (0.2+1.8)^{10} \)
Subject: Physics
Arrange the level of difficulty of walking on the following surfaces in increasing order.
a) On wooden floor
b) On concrete
floor
c) On wet marble
d) On dry marble
\( A \cdot c<b<a<d \)
B. \( d<c<b<a \)
\( c \cdot b<a<d<c \)
\( D \cdot a<d<c<b \)
Subject: Physics
Find out the correct option from the
following.
(a) The magnification is positive for all virtual images and is negative for all
real images.
(b) The magnification of concave lens and convex mirror is always positive where as the magnification of convex lens and concave mirror can be positive
or negative depending on the position of the object before the lens.
A. Only A is true
B. Only B is true.
c. Both \( A \) and \( B \) are true
D. Both A and B are false
Subject: Chemistry
The Henry's law constant for the
solubility of \( N_{2} \) gas in water at \( 298 \mathrm{K} \) is
\( 1 \times 10^{5} \) atm. The mole fraction of \( N_{2} \) in
air is \( 0.8 . \) The number of moles of \( N_{2} \)
from a dissolved in 100 moles of water
at \( 298 \mathrm{K} \) and 5 atm pressure is?
A. \( 4 \times 10^{-4} \)
В. \( 4 \times 10^{-5} \)
c. \( 4 \times 10^{-3} \)
D. \( 5 \times 10^{-4} \)
Subject: Chemistry
The ionic radius of \( _{57} L a^{3+} \) is \( 1.06 \mathrm{A} \) Which one of the following given values will be closest to the ionic radius of
\( \mathbf{7}_{1} \boldsymbol{L} \boldsymbol{u}^{\mathbf{3}+} ? \)
A . 1.06 A
B. 1.56 A
c. \( 0.85 \mathrm{A} \)
D. 1.35 A
Subject: Physics
Under the action of a force, a \( 2 \mathrm{kg} \) body
moves such that its position \( ^{\prime} x^{\prime} \) in
meters as a function of time \( ^{\prime} t^{\prime} \) in
seconds given by: \( \boldsymbol{x}=\boldsymbol{t}^{2} / \mathbf{2} . \) The work
done by the force in the first 5 seconds is?
Subject: Physics
A laeal barometer tube or neglıgıble
mass is suspended from a spring balance as shown. The mass of mercury
in the tube is \( m \) and atmospheric
pressure is \( P_{0} . \) The cross section area of
tube is \( A . \) The reading of spring balance
is :
This question has multiple correct options
\( \mathbf{A} \cdot m g \)
B \( . P_{0} A \)
\( \mathbf{c} \cdot P_{0} A-m g \)
D. \( \frac{P_{0} A+m g}{2} \)
Subject: Physics
Assertion
Electric filed of a dipole can't be found using only Gauss law. (i.e. without using superposition principle)
Reason
Gauss law is valid only for symmetrical charge distribution
A. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
B. Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion
c. Assertion is correct but Reason is incorrect
D. Assertion is incorrect but Reason is correct
Subject: Chemistry
The solvent used in Wurtz reaction is:
A. \( C_{2} H_{5} O H \)
в. \( C H_{3} \) СООН
\( \mathrm{c} \cdot \mathrm{H}_{2} \mathrm{O} \)
D. \( C_{2} H_{5} O C_{2} H_{5} \) (dry)
Subject: Physics
A generator at a utility company produces \( 100 A \) of current at \( 4000 V \)
The voltage is stepped up to \( 240000 V \) by a transformer before it is sent on a high voltage transmission line. The current in transmission line is
A \( .3 .67 A \)
в. \( 2.67 A \)
c. \( 1.67 A \)
D. \( 2.40 A \)
Subject: Physics
In a thermodynamic system, \( Q \)
represents the energy transferred to or from a system by heat and \( W \)
represents the energy transferred to or from a system by work
\( Q>0 \) and \( W=0 \)
\( Q<0 \) and \( W=0 \)
\( W>0 \) and \( Q=0 \)
\( W>0 \) and \( Q=0 \)
Which of the above will lead to an
increase in the internal energy of the system?
A. I only
в. II only
c. Iand IV only
D. II and III only
E. II and IV only
Subject: Chemistry
Which of the following statements is
true?
A \( \cdot \) Gas (G) reacts with conc NaOH to form \( O F_{2} \)
B. Pale blue gas (E) oxidises alkaline KI to \( K I O_{3} \)
C. Pale blue gas (E) in acidic medium reacts with \( K_{2} C r_{2} O_{7} \) to form a bright blue coloured compound
\( \left(C r O_{5}\right) \)
D. (B) and
(C) both.
Subject: Maths
If we apply Euclid"s division algorithm
for \( 20,8, \) then the correct answer will be
\( \mathbf{A} \cdot 20=8 \times 2+4 \)
В. \( 20=8 \times 4+0 \)
c. \( 20=8 \times 3+3 \)
D. none of the above
Subject: Physics
In a wire stretched by hanging a weight from its end, the elastic potential energy per unit volume in terms of the
longitudinal strain \( \sigma \) and modulus of
elasticity \( \boldsymbol{Y} \) is
A \( \cdot \frac{Y \sigma^{2}}{2} \)
в. \( \frac{Y \sigma}{2} \)
\( ^{\text {c. }} \frac{2 Y \sigma^{2}}{2} \)
D. \( \frac{Y^{2} \sigma}{2} \)
Subject: Physics
The gravitational potential at height \( h \) above the earth's surface is \( -5.12 \times \)
\( 10^{7} \mathrm{J} / \mathrm{kg} \) and acceleration due to gravity
at this point is \( 6.4 m s^{-2} . \) If radius of the
earth is \( 6400 \mathrm{km} \), the value of h is :
A. \( 1200 \mathrm{km} \)
B. 1600 km
c. \( 1800 \mathrm{km} \)
D. 2400 km
Subject: Physics
Two sound waves move in the same
direction in the same medium. The
pressure amplitude of the waves are equal but the wavelength of the first wave is double that of the second. Let
the average power transmitted across a
cross section by the two waves be \( \boldsymbol{P}_{1} \)
and \( P_{2} \) and their displacement
amplitudes be \( s_{1} \) and \( s_{2} \) then
\( A \cdot P_{1} / P_{2} \)
B . \( P_{1} / P_{2}=2 \)
c. \( s_{1} / s_{2}=1 / 2 \)
D. \( s_{1} / s_{2}=2 / 1 \)
Subject: Physics
A resistance is shown in the figure. Its
value and tolerance are given
respectively by:
\( \mathbf{A} \cdot 27 K \Omega, 20 \% \)
B \( .270 K \Omega, 5 \% \)
\( \mathbf{c} .270 K \Omega, 10 \% \)
D. \( 27 \mathrm{K} \Omega, 10 \% \)
Subject: Physics
At a certain location in Africa, a
compass points \( 12^{\circ} \) west of the
geographic north. The north tip of the magnetic needle of a dip circle placed in the plane of magnetic meridian
points \( 60^{\circ} \) above the horizontal. The
horizontal component of the Earth's
field is measured to be \( 0.16 G . \) Specify the direction and magnitude of the Earth's field at the location.
A \( \cdot 32^{\circ} \) west of geographic meridian and \( 3.2 \times 10^{-4} T \)
B . \( 12^{\circ} \) west of geographic meridian and \( 0.32 \times 10^{-4} \mathrm{T} \)
C. \( 12^{\circ} \) east of geographic meridian and \( 0.32 \times 10^{-4} \mathrm{T} \)
D. \( 32^{\circ} \) east of geographic meridian and \( 3.2 \times 10^{-4} T \)
Subject: Physics
A particle of mass \( \mathrm{M} \) and charge \( \mathrm{Q} \) moving with velocity \( \vec{v} \) describe a circular path of radius R when subjected to a uniform transverse magnetic field of induction B. The work done by the field when the particle completes one full circle is
\( ^{\mathbf{A}} \cdot\left(\frac{M v^{2}}{R}\right)^{2 \pi R} \)
в. zero
с. \( B Q 2 \pi R \)
D. \( B Q v 2 \pi R \)
Subject: Maths
Consider the integrals \( A=\int_{0}^{\pi} \frac{\sin x d x}{\sin x+\cos x} \) and \( B= \)
\( \int_{0}^{\pi} \frac{\sin x d x}{\sin x-\cos x} \)
Which one of the following is correct?
A. \( A=2 B \)
в. \( B=2 A \)
c. \( A=B \)
D. \( A=3 B \)
Subject: Maths
Find the value of following polynomial
by taking \( \boldsymbol{x}=\mathbf{1}, \boldsymbol{y}=\mathbf{3} \)
\( \boldsymbol{y}^{2}-\boldsymbol{x} \boldsymbol{y}+\boldsymbol{y} \)
\( A \cdot 7 \)
B. 8
\( c .9 \)
D. 11
Subject: Chemistry
Identify the product(s) which will be formed by using the information provided about the reactants.
\( N a C l(a q)+A g N O_{3}(a q) \rightarrow \)
A. \( N a A g+C l N O_{3} \)
в. \( N a C l+A g N O_{3} \)
c. \( A g C l+N a N O_{3} \)
D. \( N a N O_{3}+A g N O_{3} \)
Subject: Physics
Four particles are in \( x-y \) plane at :
(1) \( 1 k g \) at (0,0)\( \quad(2) 2 k g \) at
(1,0)\( \quad(3) 3 k g \) at (1,2)
(4) \( 4 k g \) at (2,0)
The centre of mass is located at:
A. (0.3,1.2)
В. (1.3,0.6)
c. (0.5,1.4)
D. (1.2,0.3)
Subject: Physics
Two roads cross at right angles at \( O \)
One person \( A \) walking along one of the
roads at \( 3 m s^{-1} \) sees another person \( B \)
walking at \( 4 m s^{-1} \) along the other road at \( O, \) when he is 10 m off. The
nearest distance between the two
persons is
A . \( 10 m \)
в. \( 9 m \)
\( c .8 m \)
D. \( 7.2 m \)
Subject: Physics
The nuclear radius of \( _{4} B e^{8} \) nucleus is :
A \( \cdot 1.3 \times 10^{-15} \mathrm{m} \)
B . 2.6 \( \times 10^{-15} \mathrm{m} \)
c. \( 1.3 \times 10^{-13} \) и
D. 2.6 \( \times 10^{-13} \mathrm{m} \)
Subject: Maths
If \( \boldsymbol{y}=\sec ^{-1}\left(\frac{\boldsymbol{x}+\mathbf{1}}{\boldsymbol{x}-\mathbf{1}}\right)+\sin ^{-1}\left(\frac{\boldsymbol{x}-\mathbf{1}}{\boldsymbol{x}+\mathbf{1}}\right) \)
then \( \frac{\boldsymbol{d} \boldsymbol{y}}{\boldsymbol{d} \boldsymbol{x}}= \)
Subject: Chemistry
Which of the following will give addition reaction and why?
\( \boldsymbol{C}_{4} \boldsymbol{H}_{10}, \boldsymbol{C}_{2} \boldsymbol{H}_{6}, \boldsymbol{C}_{2} \boldsymbol{H}_{4}, \boldsymbol{C} \boldsymbol{H}_{4}, \boldsymbol{C}_{3} \boldsymbol{H}_{8}, \boldsymbol{C}_{3} \boldsymbol{H}_{4} \)
Subject: Maths
\( P \) is a point in the interior of a
parallelogram \( A B C D . \) Show that
\( \boldsymbol{a r}(\triangle \boldsymbol{A P D})+\boldsymbol{a r}(\triangle \boldsymbol{P B C})= \)
\( \boldsymbol{a r}(\triangle \boldsymbol{A} \boldsymbol{P B})+\boldsymbol{a r}(\triangle \boldsymbol{P} \boldsymbol{D}) \)
Subject: Maths
Assertion
\( \mathrm{f} \sin ^{-1} x+\sin ^{-1} y+\sin ^{-1} z=\frac{3 \pi}{2}, \) then
\( \frac{3 \sum_{r=1}^{2008}\left(x^{r}+y^{r}\right)}{2 \sum_{r=1}^{2008}\left(x^{r} y^{r}\right)}=3 \)
Reason
\( \sin ^{-1} x+\sin ^{-1} y+\sin ^{-1} z=\frac{3 \pi}{2} \) is
possible only if \( \boldsymbol{x}=\boldsymbol{y}=\boldsymbol{z}=\mathbf{1} \)
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 false but Reason is true
Subject: Maths
In the figure, \( Q X \) and \( R X \) are the
bisectors of angles \( Q \) and \( R \)
respectively of \( \triangle \boldsymbol{P Q R} \). If \( \boldsymbol{X} \boldsymbol{S} \perp \boldsymbol{Q} \boldsymbol{R} \)
and \( X T \perp Q R, \) then \( \triangle X T Q \cong \triangle X S Q \)
by \( _{\text {一一一一一一一一一一 }} \) congruency
A. \( S A S \)
B. \( R H S \)
c. \( A A S \)
D. \( A S A \)
Subject: Physics
Multiple Correct Answers Type
Suppose two particles 1 and 2 are projected in vertical plane
simultaneously.
Their angles of projection are \( 30^{\circ} \) and \( \theta \)
respectively, with the horizontal. Let
they collide after a time \( t \) in air. Then
This question has multiple correct options
A \( \cdot \theta=\sin ^{-1}(4 / 5) \) and they will have same speed just
before the collision
B . \( \theta=\sin ^{-1}(4 / 5) \) and they will have different speed just
before the collision
C . \( x<1280 \sqrt{3}-960 m \)
D. It is possible that the particles collide when both of them are at their highest point.
Subject: Chemistry
The molar heat capacities at constant pressure (assume constant with
respect to temperature) of \( A, B \) and \( C \)
are in the ration of 1.5: 3.0: 2.0
If enthalpy change for the exothermic
reaction \( A+2 B \rightarrow 3 C \) at \( 300 K \) is
\( -10 k J / m o l \)
\( \& C_{p, m}(B) \) is \( 300 J / m o l \)
then enthalpy change at \( 310 K \) is:
A . \( -8.5 k J / m o l \)
B. \( 8.5 k J / \) mol
c. \( -11.5 k J / \) mol
D. none of these
Subject: Maths
If \( I=\int \frac{1}{e^{x}} \tan ^{-1}\left(e^{x}\right) d x, \) then I equals
A \( \cdot-e^{-x} \tan ^{-1}\left(e^{x}\right)+\log \left(1+e^{2 x}\right)+C \)
B. \( x-e^{-x} \tan ^{-1} e^{x}-\frac{1}{2} \log \left(1+e^{x}\right)+C \)
c. \( x-e^{-x} \tan ^{-1}\left(e^{x}\right)-\frac{1}{2} \log \left(1+e^{2 x}\right)+C \)
D. none of these
Subject: Chemistry
Cyclopropane rearranges to form
propene:
\( \triangle \rightarrow \boldsymbol{C H}_{2}-\boldsymbol{C H}=\boldsymbol{C H}_{2} \)
This follows first-order kinetics. The rate
constant is \( 2.714 \times 10^{-3} s e c^{-1} . \) The
initial concentration of cyclopropane is
\( 0.29 M . \) What will be the concentration
of cyclopropane after 100 sec?
A. \( 0.035 M \)
B. \( 0.22 M \)
c. \( 0.145 M \)
D. \( 0.0018 M \)
Subject: Maths
If \( x=\sin ^{-1} 2 t \sqrt{1-t^{2}} \) and \( y=\frac{\pi}{2} \)
\( \cos ^{-1} t, \) then find the value of \( \frac{d^{2} y}{d x^{2}} \) at \( t=\frac{\pi}{3} \)
Subject: Maths
For the given curve \( y^{2}=8 x, \) which of
the following statements are correct?
I. Length of the latus rectum 8
II. Focal distance to the point (2,4) is 4
III. One of the points on the curve is
(2,-4)
A. Only I and III
B. Only II and III
c. only land II
D. All the three
Subject: Maths
If \( m \) th term of an A.P. is \( n \) and \( n \) th term
is \( m, \) then the \( (m+n) \) th term is
\( \mathbf{A} \cdot \mathbf{0} \)
B. \( m+n-1 \)
\( \mathrm{c} \cdot m+n \)
D. \( \frac{m n}{m+n} \)
Subject: Physics
In a meter-bridge experiment with
resistance \( R_{1} \) in left gap and resistance
\( X \) in right gap, null point is obtained at
\( 40 \mathrm{cm} \) from left end. With a resistance
\( R_{2} \) in left gap and same resistance \( X \) in
right gap, null point is obtained at
\( 50 \mathrm{cm} \) from left end. Where will be null
point if \( \boldsymbol{R}_{1} \) and \( \boldsymbol{R}_{2} \) are put first in series
and then in parallel, in the left gap and
right gap still containing \( X ? \)
Subject: Chemistry
The correct combination of names for
isomeric alcohols with molecular
formula \( C_{4} H_{10} O \) is/are:

This question has multiple correct options
A. tert-butanol and 2-methylpropan-2-ol
B. tert-butanol and 1, 1-dimethylethan-1-ol
c. n-butanol and butan-1-ol
D. isobutyl alcohol and 2-methylpropan-1-ol
Subject: Maths
The circumference of a circle is
measured as \( 28 c m \) with an error of
\( 0.01 \mathrm{cm} . \) The percentage error in the
area is
A \( \cdot \frac{1}{14} \)
в. 0.01
\( c \cdot \frac{1}{7} \)
D. none of these
Subject: Chemistry
\( 2 p_{x} \) atomic orbital undergoes linear combination with:
A \( \cdot 2 p_{y} \) orbital
B . \( 2 p_{x} \) orbital
C. Both \( 2 p_{y} \) and \( 2 p_{x} \) orbitals
D \( \cdot 2 p_{z} \) orbital
Subject: Physics
For two particular vectors \( \vec{A} \) and \( \vec{B} \) it is known that \( \overrightarrow{\boldsymbol{A}} \times \overrightarrow{\boldsymbol{B}}=\overrightarrow{\boldsymbol{B}} \times \overrightarrow{\boldsymbol{A}} . \) What
must be true about the two vectors?
A. At least one of the two vectors must be the zero vector
в. \( \vec{A} \times \vec{B}=\vec{B} \times \vec{A} \) is true for any two vectors
c. one of the two vectors is a scalar multiple of the other vector.
D. The two vectors must be perpendicular to each other
Subject: Physics
A monoatomic gas at pressure \( P_{1} \) and
volume \( V_{1} \) is compressed adiabatically to \( \frac{1}{8} \) th of its original volume. What is the final pressure of the gas
\( A \cdot 64 P_{1} \)
в. \( P_{1} \)
\( c \cdot 16 P_{1} \)
D. \( 32 P_{1} \)
Subject: Physics
The velocity of a car increases from
\( 54 k m / h \) to \( 72 k m / h . \) If the mass of the
car is \( 1500 k g, \) find the work done to increase the velocity.
A . \( 27000 J \)
в. \( 131250 J \)
c. \( 0 . \)
D. \( 1500 J \)
Subject: Physics
Point masses 1,2,3 and \( 4 k g \) are lying at the points (0,0,0),(2,0,0),(0,3,0) and (-2,-2,0) respectively. The moment of inertia of this system about x-axis will
be:
A \( \cdot 43 k g-m^{2} \)
B . \( 34 \mathrm{kg}-\mathrm{m}^{2} \)
c. \( 27 \mathrm{kg}-\mathrm{m}^{2} \)
D. \( 72 \mathrm{kg}-\mathrm{m}^{2} \)
Subject: Maths
If \( p, q \) are the perpendicular distances from the origin to the lines \( x \sec \alpha+ \)
\( y \operatorname{cosec} \alpha=a \) and \( x \cos \alpha-y \sin \alpha= \)
\( a \cos 2 \alpha, \) then \( 4 p^{2}+q^{2}= \)
A \( \cdot a^{2} \)
B. \( 4 a^{2} \)
\( c \cdot 2 a^{2} \)
\( D \cdot 6 a^{2} \)
Subject: Maths
If the points \( \boldsymbol{A}(\mathbf{1}, \mathbf{2}), \boldsymbol{B}(\mathbf{4}, \boldsymbol{6}), \boldsymbol{C}(\boldsymbol{3}, \mathbf{5}) \) are
the vertices of a \( \Delta A B C \), find the
equation of the line passing through the midpoints of \( A B \) and \( B C \)
Subject: Chemistry
The mass of electron is \( 9.11 \times 10^{-31} \)
Kg Planck constant is \( 6.626 \times 10^{-34} \mathrm{Js} \)
the uncertainty involved in the measurement of velocity within a
distance of \( 0.1 A^{\circ} \) is:
A \( \cdot 5.79 \times 10^{6} m / s \)
B . \( 5.79 \times 10^{7} \mathrm{m} / \mathrm{s} \)
\( \mathbf{c} \cdot 5.79 \times 10^{8} \mathrm{m} / \mathrm{s} \)
D. \( 5.79 \times 10^{5} \mathrm{m} / \mathrm{s} \)
Subject: Chemistry
In the presence of cobalt chloride
\( \left(\mathrm{CoCl}_{2}\right), \) bleaching powder decomposes
to form:
\( A \cdot C a C O_{3} \)
в. \( C a O C l \)
\( \mathrm{c} \cdot \mathrm{Cl}_{2} \mathrm{O}_{8} \)
D. \( \mathrm{CaCl}_{2} \)
Subject: Maths
A right angle triangle ABC having right angle at \( C, C A=a, C B=b \) moves such that the angular points \( A \) and \( B \) slide along x-axis and y-axis respectively. The locus of \( C \) is
A. \( a x+b y+1=0 \)
В. \( a x \pm b y=0 \)
\( \mathbf{c} \cdot a x^{2} \pm 2 b y+y^{2}=0 \)
D. none of these
Subject: Chemistry
Q Type your question-
\( \mathrm{CaCl}_{2}+\mathrm{U}-\mathrm{tube}=80.483 \mathrm{g} \)
After:Porcelain boat + contents =
\( \mathbf{5 4 . 8 6 9 g} \)
\( \mathrm{CaCl}_{2}+\mathrm{U}-\mathrm{tube}=89.483 \mathrm{g} \)
Reactions: \( Z n(s)+2 H C l(a q) \rightarrow \)
\( Z n C l_{2}(a q)+H_{2}(g) \) then \( H_{2}(g)+ \)
\( \boldsymbol{C u O}(\boldsymbol{s}) \rightarrow \boldsymbol{H}_{2} \boldsymbol{O}(\boldsymbol{g})+\boldsymbol{C u}(\boldsymbol{s}) \)
What was the reason placing tube of
\( \mathrm{CaCl}_{2} \) between the generator and the
tube containing the porcelain boat?
A. To absorb evaporated HCI
B. To absorb evaporated \( H_{2} O \)
C. To slow down the gases released
D. To absorb the evaporated Zn particles
E. To remove the initial air that passes through the tube
Subject: Chemistry
Of the following solutions, the one that
is acidic is:
A \( \cdot Z n S O_{4}(a q .) \)
в. \( \operatorname{NaAl}(O H)_{4}(\text {аq.}) \)
\( \mathbf{c} \cdot \operatorname{NaH} C O_{3}(a q) \)
D \( \cdot K N O_{3}(a q .) \)
Subject: Physics
A ball after having fallen from rest under the influence of gravity for \( 6 s \) crashes through a horizontal glass plate, thereby losing two-third of its velocity. Then it reaches the ground in
\( 2 s, \) height of the plate above the ground
is
\( \mathbf{A} \cdot 19.6 m \)
B. \( 39.2 m \)
c. \( 58.8 m \)
D. \( 78.4 m \)
Subject: Maths
The volume of a ball increases at
\( 4 \pi c . c / \)sec. The rate of increases of radius when the volume is \( 288 \pi c . c . s \) is
A \( \cdot \frac{1}{6} \mathrm{cm} / \mathrm{sec} \)
B \( \cdot \frac{1}{36} \mathrm{cm} / \mathrm{sec} \)
c. \( \frac{1}{9} \mathrm{cm} / \mathrm{sec} \)
D. \( \frac{1}{49} \mathrm{cm} / \mathrm{sec} \)
Subject: Chemistry
For a gas having molar mass \( \mathrm{M} \), specific heat at constant pressure can be given
as:
A \( \cdot \frac{\gamma R}{M(\gamma-1)} \)
в. \( \frac{\gamma}{R M} \)
c. \( \frac{M}{R(\gamma-1)} \)
D. \( \frac{\gamma R M}{\gamma+1} \)
Subject: Chemistry
For the following reaction at a particular
temperature, according to the
equations
\( \mathbf{2} N_{2} \boldsymbol{O}_{\mathbf{5}} \rightarrow \mathbf{4} \boldsymbol{N} \boldsymbol{O}_{2}+\boldsymbol{O}_{2} \)
\( 2 N O_{2}+\frac{1}{2} O_{2} \rightarrow N_{2} O_{5} \)
\( A \cdot E_{1}>E_{2} \)
в. \( E_{1}<E_{2} \)
C. \( E_{1}=2 E_{2} \)
D. \( \sqrt{E_{1} E_{2}^{2}}=1 \)
Subject: Physics
If two balls each of mass \( 0.06 \mathrm{kg} \) moving
in opposite directions with same speed \( 4 m / s \) collide and rebound with the same speed, then the impulse imparted to each ball due to other is
\( \mathbf{A} \cdot 0.48 k g-m / s \)
в. \( 0.24 \mathrm{kg}-\mathrm{m} / \mathrm{s} \)
c. \( 0.81 \mathrm{kg}-\mathrm{m} / \mathrm{s} \)
D. Zero
Subject: Chemistry
What are the conditions for a species to
\( \operatorname{act} \operatorname{as} a \operatorname{donor} \) and an acceptor during
dative bond formation?
A. donor: Must possess higher ionization potential, big size and less charge on cations.
B. acceptor: Possess more electron affinity, less size and less negative charge on anions.
\( \mathbf{C} . \) Both \( A \) and \( \mathbf{B} \)
D. donor: Must possess less ionization potential, big size and less charge on cations. acceptor: Possess more electron affinity, less size and less negative charge on anions.
Subject: Physics
A turn has a radius of 10 m. If a vehicle
goes round it at an average speed of 18 \( \mathrm{km} / \mathrm{h}, \) what should be the proper angle of banking?
A \( \cdot \tan ^{-1}(1 / 4) \)
B \( \cdot \tan ^{-1}(1 / 2) \)
\( c \cdot \tan ^{-1}(3 / 4) \)
D \( \cdot \tan ^{-1}(5 / 7) \)
Subject: Maths
\( \left[\begin{array}{lll}\boldsymbol{x} & \boldsymbol{4} & \boldsymbol{1}\end{array}\right]\left[\begin{array}{ccc}\boldsymbol{2} & \boldsymbol{1} & \boldsymbol{2} \\ \boldsymbol{1} & \boldsymbol{0} & \boldsymbol{2} \\ \boldsymbol{0} & \boldsymbol{2} & \boldsymbol{-} \boldsymbol{4}\end{array}\right]\left[\begin{array}{c}\boldsymbol{x} \\ \boldsymbol{4} \\ -\boldsymbol{1}\end{array}\right]=\mathbf{0} \)
then find \( x \)
Subject: Maths
Which of the following expressions are polynomials in one variable and which
are not? State reasons for your answer
(i) \( 4 x^{2}-3 x+7 \)
(ii) \( y^{2}+\sqrt{2} \)
(iii) \( 3 \sqrt{t}+t \sqrt{2} \)
(iv) \( \boldsymbol{y}+\frac{\mathbf{2}}{\boldsymbol{y}} \)
(v) \( x^{10}+y^{3}+t^{50} \)
Subject: Chemistry
Scientist previously thought an atom looked like plum pudding. In this model, it was assumed that protons and electrons were distributed throughout the atom almost randomly. Which of the following contributions DISPROVED the Plum Pudding model?
A. Rutherford's Gold Foil Experiment.
B. J.J. Thomson's Cathode Ray Experiment.
c. Millikan's Oil Drop Experiment
D. Bohr's Model of the Atom.
Subject: Maths
The negation of \( \boldsymbol{q} \vee \sim(\boldsymbol{p} \wedge \boldsymbol{r}) \) is?
\( \mathbf{A} \cdot \sim q \wedge \sim(p \vee r) \)
В \( . \sim q \wedge(p \wedge r) \)
\( \mathbf{c} \cdot \sim q \vee(p \wedge r) \)
D. \( r \vee(p \wedge r) \)