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Let \( \vec{F} \) be the force acting on a particle having position vector \( \vec{r} \) and \( \vec{\tau} \) be the torque of this force about the origin then:
\( \mathbf{A} \cdot \vec{r} \cdot \vec{\Gamma}=0 \) and \( \vec{F} \cdot \vec{\Gamma} \neq 0 \)
B . \( \vec{r} . \vec{\Gamma} \neq 0 \) and \( \vec{F} . \vec{\Gamma}=0 \)
c. \( \vec{r} . \vec{\Gamma} \neq 0 \) and \( \vec{F} \cdot \vec{\Gamma} \neq 0 \)
D. \( \vec{r} . \vec{\Gamma}=0 \) and \( \vec{F} \cdot \vec{\Gamma}=0 \)
| 3 |
Physics
|
State the laws of refraction.
| 3 |
Physics
|
Chlorine is prepared in the laboratory by the reaction between:
A. \( Z n \) and \( H C l \)
в. \( M n O_{2} \) and \( H C l \)
c. \( C a C O_{3} \) and \( H C l \)
D \( \cdot P b\left(N O_{3}\right)_{2} \) and \( H C l \)
| 1 |
Chemistry
|
Assertion
\( \int_{-\pi / 4}^{\pi / 4} x^{3} \sin ^{4} x d x \neq 0 \)
Reason
\( \int_{-a}^{a} f(x) d x=0 \) if \( f(-x)=-f(x) \)
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
| 2 |
Maths
|
The eccentricity of the ellipse \( 12 x^{2}+ \) \( 7 y^{2}=84 \) is equal to:
A \( \frac{\sqrt{5}}{7} \)
B. \( \sqrt{\frac{5}{7}} \)
c. \( \frac{\sqrt{5}}{12} \)
D.
E. \( \frac{7}{12} \)
| 2 |
Maths
|
Atoms may be regarded as comprising of protons, neutrons and electrons. If the
mass attributed to a neutron were
halved and that attributed to the
electron were doubled, the atomic mass
of \( \frac{12}{6} \mathrm{C} \) would:
A. remain approximately the same
B. be approximately doubled
c. be approximately halved
D. be reduced approximately by 25\%
| 1 |
Chemistry
|
What is the momentum of an object of
mass \( m, \) moving with a velocity \( v ? \)
A \( \cdot(m v)^{2} \)
a) \( ^{\infty} \)
B. \( m v^{2} \)
c. \( 1 / 2 m v^{2} \)
D. \( m v \)
| 3 |
Physics
|
Consider the railway platform which is in square shape having side length \( 2 k m . \) Then area of the platform is 4
A . \( m \)
в. \( k m \)
\( \mathrm{c} \cdot k m^{2} \)
D. \( m^{2} \)
| 2 |
Maths
|
Three charges, each \( +q \), are placed at
the corners of an isosceles triangle
\( A B C \) of sides \( B C \) and \( A C, 2 a . D \) and \( E \)
are the mid points of \( B C \) and \( C A \). The
work done in taking a charge \( Q \) from \( D \)
to \( \boldsymbol{E} \) is :
A \( \cdot \frac{e q Q}{8 \pi \epsilon_{0} a} \)
в. \( \frac{q Q}{4 \pi \epsilon_{0} a} \)
c. zero
D. \( \frac{3 q Q}{4 \pi \epsilon_{n} a} \)
| 3 |
Physics
|
toppr
Q Type your question
solution?
\( A \)
3
\( c \)
\( D \)
| 1 |
Chemistry
|
Focal length of a lens is \( 50 \mathrm{cm} \). Its power would be:
A. 50 dioptres
B. 2 dioptres
c. 20 dioptres
D. None of these
| 3 |
Physics
|
\( \left(14 x^{2} y z-28 x^{2} y^{2} z^{3}+32 y^{2} z^{2}\right) \div \)
\( (-4 x y) \)
A. \( \frac{7}{2} y z+7 x y z^{2}+8 x y z \)
B. \( -\frac{7}{2} x z+7 x y z^{3}-\frac{8 y z^{2}}{x} \)
c. \( -\frac{7}{2} x z-7 x y z^{3}+\frac{8 y z^{2}}{x} \)
D. \( \frac{7}{2} x z-7 x y z^{2}-\frac{8 y z^{2}}{x} \)
| 2 |
Maths
|
Only one subject
A . 0.72
B. 0.36
c. 0.48
D. 0.24
| 2 |
Maths
|
Which of the following is a locomotory organ in a snail?
A. Outer snail
B. Muscular foot
c. Muscular rings
D. All of the above
| 0 |
Biology
|
Length of exposed portion of top of box is equal to
\( \mathbf{A} \cdot 2 m \)
в. \( 3 m \)
c. \( 4 m \)
D. \( 2.5 m \)
| 3 |
Physics
|
If the rate of reaction is equal to the rate constant, the order of the reaction is:
A. 0
B.
\( c \cdot 2 \)
\( D \)
| 1 |
Chemistry
|
The side of an equilateral triangle is \( 20 \sqrt{3} \mathrm{cm} . \) The numerical value of the
radius of the circle circumscribing the triangle is:
\( \mathbf{A} \cdot 20 \mathrm{cm} \)
в. \( 20 \sqrt{3} \mathrm{cm} \)
c. \( 20 \pi c m \)
D. \( \frac{20}{\pi} \)
| 2 |
Maths
|
is the first and the only state in India, which has made roof top rain
water harvesting structure and is compulsory to all the houses across the
state
A. Tamil Nadu
B. Andhra Pradesh
c. Maharashtra
D. Madhya Pradesh
| 0 |
Biology
|
Two identical rods each of moment of
inertia \( ^{\prime} I^{\prime} \) about a normal axis through
centre are arranged in the from of a cross. The \( M . I . \) of the system about an
axis through centre and perpendicular
to the plane of system is:
A . \( 2 I \)
B. \( I \)
c. 2.5
D. \( 6 I \)
| 3 |
Physics
|
Acetyl salicylic acid (aspirin) ionises in
water as: \( \boldsymbol{H} \boldsymbol{C}_{9} \boldsymbol{H}_{7} \boldsymbol{O}_{4}+\boldsymbol{H}_{2} \boldsymbol{O} \rightarrow \)
\( \boldsymbol{H}_{3} \boldsymbol{O}^{+}+\boldsymbol{C}_{9} \boldsymbol{H}_{7} \boldsymbol{O}_{4}^{-} ;\left(\boldsymbol{K}_{a}=\boldsymbol{2} . \boldsymbol{7} \boldsymbol{5} \times \mathbf{1} \boldsymbol{0}^{-\boldsymbol{9}}\right) \)
If two tablets of aspirin each of 0.32 g is dissolved in water to produce \( 250 \mathrm{mL} \) solution, calculate \( [\stackrel{\ominus}{\boldsymbol{O}} \boldsymbol{H}] \)
A \( \cdot 1.61 \times 10^{-9} M \)
В. \( 1.61 \times 10^{-7} \) М
c. \( 1.61 \times 10^{-3} M \)
D. \( 1.61 \times 10^{-5} M \)
| 1 |
Chemistry
|
Find the square root of the following
decimal fraction:
\( \mathbf{0 . 0 6 2 5} \)
| 2 |
Maths
|
A newly discovered element \( X \) is placed
in group \( I A \) of the periodic table since it forms :
A. an oxide which is acidic
B. a volatile chloride having a formula \( X C l \)
c. an ionic chloride having the formula \( X C l \)
D. an insoluble \( X S O_{4} \)
| 1 |
Chemistry
|
The \( \boldsymbol{K}_{s p}\left(\mathbf{2 5}^{o} \boldsymbol{C}\right) \) of sparingly salt
\[
\boldsymbol{X} \boldsymbol{Y}_{2}(\boldsymbol{s}) \text { is } \boldsymbol{3} . \mathbf{5 6} \times \mathbf{1 0}^{-5}\left(\boldsymbol{m o l} \quad \boldsymbol{L}^{-1}\right)^{3}
\]
and at \( 30^{\circ} \mathrm{C} \),the vapour pressure of its saturated solution in water is \( 31.78 \mathrm{mm} \)
of Hg.Calculate the enthalpy change of the reaction.( write your answer to
nearest integer)
\[
\boldsymbol{X} \boldsymbol{Y}_{2}(\boldsymbol{s}) \rightleftharpoons \boldsymbol{X}^{2+}(\boldsymbol{a} \boldsymbol{q})+\boldsymbol{2} \boldsymbol{Y}^{\ominus}(\boldsymbol{a} \boldsymbol{q})
\]
Given : Vapour pressure of pure water \( =31.82 \mathrm{mm} \) of \( \mathrm{Hg} \)
| 1 |
Chemistry
|
Which of the following statement is
false regarding isotopes?
A. They are atoms of same element having same number of protons and electrons but different number of neutrons.
B. Isotopes of an element have similar chemical perperties but different physical properties.
C. All the isotopes of an element have same number of valence electrons
D. The three isotopes of hydrogen (Protium, Deuterium and Tritium) contains one, two and three neutrons respectively.
| 1 |
Chemistry
|
The lens used to correct long sightedness or hypermetropla.
A. Convex lens
B. Concave lens
c. simple lens
D. Cylindrical lens
| 3 |
Physics
|
Which of the following is used in the hydrogenation of vegetable oils?
A \( \cdot C l_{2} \)
в. \( N_{2} \)
\( c \cdot O_{2} \)
D. \( H_{2} \)
| 1 |
Chemistry
|
State whether the given statement is
true or false:
Interhalogen compounds are strong reducing agents.
A. True
B. False
| 1 |
Chemistry
|
If \( 2 \vec{a} \cdot \vec{b}=|\vec{a}||\vec{b}| \) then the angle between \( \vec{a} \) and \( \vec{b} \) is
A \( .30^{\circ} \)
в. \( 0^{\circ} \)
\( c \cdot 90^{\circ} \)
D. \( 60^{\circ} \)
| 2 |
Maths
|
\( 10^{-4} m^{2} \) and a resistance of \( 2 \Omega \) (figure)
The larger circular loop is fixed and has
a radius of \( 0.1 m . \) Both the loops are
concentric and coplanar. The smaller
loop is rotated with an angular velocity
end \( s^{-1} \) about its diameter. The
magnetic flux with the smaller loop is
A \( \cdot 2 \pi \times 10^{-6} W b \)
В \( \cdot \pi \times 10^{-9} W b \)
C \( \cdot \pi \times 10^{-9} \cos \omega t W b \)
D. zer
| 3 |
Physics
|
By what least number 4320 be multiplied to become a perfect cube?
A . 10
B. 30
c. 20
D. 50
| 2 |
Maths
|
Which one of the following compounds,
on transamination, DOES NOT result in
one of the genetically-coded 20 amino
acids?
\( A \)
B.
\( c \)
\( D \)
| 1 |
Chemistry
|
Find the area of the segment \( \boldsymbol{A Y B} \)
show in the figure, if radius of the circle
is \( 21 c m \) and \( \angle A O B=120^{\circ} \) (Use \( n= \)
\( \frac{22}{7} \)
| 2 |
Maths
|
If an LC circuit has \( C=1 \mu F \)
\( \& \boldsymbol{L}= \)
0.25 henry. neglecting any resistance in the circuit, what is the frequency of oscillation?
| 3 |
Physics
|
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
| 2 |
Maths
|
The extraction of metals from their ores
and then refining them for use is known
as
A. metallurgy
B. extacting
c. metal technology
D. none of these
| 1 |
Chemistry
|
What are magnetic field lines? How is the direction of magnetic field at a
point in a magnetic field determined using field lines?
| 3 |
Physics
|
Isoelectronic structural molecules are:
This question has multiple correct options
\( \mathbf{A} \cdot C H_{3}^{+} \)
B. \( H_{3}^{+} O \)
\( \mathbf{c} \cdot N H_{3} \)
D. \( C H_{3}^{-} \)
| 1 |
Chemistry
|
Two circles with centres \( A \) and \( B \) of
radii \( 3 \mathrm{cm} \) and \( 4 \mathrm{cm}, \) respectively
intersect at two points \( C \) and \( D \) such that \( A C \) and \( B C \) are tangents to the
two circles. Find the 10 times length of
the common chord \( C D \)
A .48
B. 58
\( c \cdot 56 \)
D. 54
| 2 |
Maths
|
A substance 'P' does not have a fixed,
volume. It occupies the total space of the container and it can be compressed. What is 'P' likely to be?
A. Solid
B. Liquid
c. Gas
D. All of these
| 1 |
Chemistry
|
The term meristem was coined by
A. Hanstein
B. Nageli
c. Schmidt
D. Esau
| 0 |
Biology
|
The reactivity of the metals
\( A l, C a, M g \) and \( N a \) follows the order.
A. \( N a>C a>M g>A l \)
в. \( N a>M g>C a>A l \)
c. \( A l>M g>C a>N a \)
D. \( M g>N a>C a>A l \)
| 1 |
Chemistry
|
The radius vector drawn from the sun to
a planet sweeps out areas
in equal time.
A. equal
B. unequal
c. greater
D. less
| 3 |
Physics
|
The reflecting surface of a plane mirror is vertical. A particle is a project in a vertical plane also perpendicular to the mirror the initial speed of the particle
is \( 10 \mathrm{m} / \mathrm{s} \) and the angle of project \( 60^{\circ} \)
from the normal of the mirror. the point of projection is at a distance \( 5 \mathrm{m} \) from particle moves towards the mirror.just before the particle touches the mirror.
the velocity of approving of the particle
and the image is:
A. \( 12 \mathrm{m} / \mathrm{s} \)
B. \( 5 \mathrm{m} / \mathrm{s} \)
c. \( 10 \mathrm{m} / \mathrm{s} \)
D. \( 5 \sqrt{5} \) m/s
| 3 |
Physics
|
the fundamental period, if any, of the
functions:
\( \sin (x / 3) \) is \( k \pi, \) then \( k \) is
| 2 |
Maths
|
A charge \( Q \) is distributed over two concentric hollow spheres of radii \( r \) and
\( R(R>r) \) such that their surface
densities are equal. The charge on smaller and bigger shells are:
A. \( \frac{Q r^{2}}{r^{2}+R^{2}} \) and \( \frac{Q R^{2}}{r^{2}+R^{2}}, \) respectively
в. \( Q\left(1+\frac{r^{2}}{R^{2}}\right) \) and \( Q\left(1+\frac{R^{2}}{r^{2}}\right) \), respectivel
\( ^{\mathrm{c}} Q\left(1-\frac{r^{2}}{R^{2}}\right) \) and \( Q\left(1-\frac{R^{2}}{r^{2}}\right) \), respectivel
D. \( \frac{Q R^{2}}{r^{2}+R^{2}} \) and \( \frac{Q r^{2}}{r^{2}+R^{2}}, \) respectively
| 3 |
Physics
|
Solutions of alkali metals in liquid
ammonia at \( -33^{\circ} \mathrm{C} \) conduct electricity
without chemical reaction at the
electrodes. Hence, conductivity should :
A. increase as temperature is lowered
B. decrease as temperature is lowered
c. remain constant on changing the temperature
D. there is always interaction of alkali metal with liquid ammonia
| 1 |
Chemistry
|
Q Type your question
the shape of track is defined by equation \( y=\frac{x^{2}}{a} \) where \( a \) is a constant.
A ring of mass \( m \) which can slide freely
on wire track, is placed at the position
\( (a, a) . \) The track is rotated
with constant angular speed \( \omega \) such
that there is no relative slipping
between the ring and the track then \( \omega \) is
equal to
A. \( \sqrt{\frac{2 g}{a}} \)
B. \( \sqrt{\frac{g}{a}} \)
c. \( \sqrt{\frac{g}{2 a}} \)
D. None of these
| 3 |
Physics
|
Annual rings are formed basically due
to
A. Marked seasonal variations
B. Different development of xylem and phloem
c. Uniform climate conditions
D. Different kinds of phloem
| 0 |
Biology
|
For what angle \( \theta \) does the induced emf
have the largest amplitude?
| 3 |
Physics
|
Isotopes that are used in nuclear imaging include:
A. fluorine-18
B. iodine-123
c. nitrogen-13
D. All of the above
| 1 |
Chemistry
|
The resistance of platinum wire is 2.4
ohms at \( 0^{\circ} \mathrm{C} \) and 3.4 ohms at \( 100^{\circ} \mathrm{C} \). If
the resistance at \( t^{\circ} C \) is 4 ohms then the
temperature \( t \) is equal to
A \( \cdot 160^{\circ} \mathrm{C} \)
В. \( 140^{\circ} \mathrm{C} \)
c. \( 180^{\circ} \mathrm{C} \)
D. \( 120^{\circ} \mathrm{C} \)
| 3 |
Physics
|
From the given examples which one is not considered as vegetable fibre?
A. cotton
B. Jute
c. Nylon
D. silk
| 1 |
Chemistry
|
If \( 0 \leq x \leq \pi, \) the interval in which the
function \( f(x)=\frac{\tan x}{\sin x} \) is defined is:
A. \( 0 \leq x \leq \pi \)
В. \( 0<x<\pi \)
c. \( 0<x<\frac{\pi}{2} \)
D \( \cdot \frac{\pi}{2}<x \leq \pi \)
E \( \cdot 0<x<\frac{\pi}{2} \) and \( \frac{\pi}{2}<x<\pi \)
| 2 |
Maths
|
Oral administration of small doses of
which of the following hormonal drugs are popular contraceptive methods used by the females?
A. Progesterone
B. Progesterone and estrogen
c. Lactogen
D. Both A and B
| 0 |
Biology
|
Which of the following physical quantities has the same units as that of impulse?
A. Momentum
B. Force
c. Torque
D. couple
| 3 |
Physics
|
A ray of monochromatic light is incident on one refracting face of a prism of
angle \( 75^{\circ} . \) It passes through the prism and is incident on the other face at the
critical angle. If the refractive index of the material of the prism is \( \sqrt{2} \), the angle of incidence on the first face of
the prism is:
A . \( 30^{\circ} \)
B . \( 45^{\circ} \)
\( c \cdot 60^{\circ} \)
D. \( 0^{\circ} \)
| 3 |
Physics
|
A die is thrown. Write the sample space.
If \( A \) is the event that the number is less
than four, write the event \( \boldsymbol{A} \) using set
notation.
| 2 |
Maths
|
COM of a semicular here
| 3 |
Physics
|
Two parallel plate capacitor of capacitances \( C \) and \( 2 C \) are connected in parallel and charged to a potential difference V. If the battery
is disconnected and the space between the plate of the capacitor of capacince \( C \) is completely filled with a material of dielectric constant \( K, \) then the potential difference across the capacitor will be
come
A. \( 3 V(K+2) \)
B. \( \frac{(K+2)}{3 V} \)
c. \( \frac{3 V}{(K+2)} \)
D. \( \frac{3(K+2)}{V} \)
| 3 |
Physics
|
Gases begin to conduct electricity at
low pressure because:
A. at low pressure gases turn to plasma
B. colliding electrons can acquire higher kinetic energy due to increased mean free path leading to ionisation of atoms
C . atoms break up into electrons and protons
D. the electrons in atoms can move freely at low pressure
| 3 |
Physics
|
Which of the following sets is of coinage metals?
A. \( C u, A g, A u \)
в. \( Z n, \)Сд\( , \)Н \( g \)
c. \( A u, A g, Z n \)
D. \( L i, N a, K \)
| 1 |
Chemistry
|
The work done to pull them (the
molecules apart if they are at \( R_{0}, \) is:
A. \( U_{0} \)
в. \( 2 U_{0} \)
c. \( -2 U_{0} \)
D. none
| 3 |
Physics
|
Prove the following by using principle of mathematical induction for all \( \boldsymbol{n} \in \boldsymbol{N} \)
\( \mathbf{1} . \mathbf{3}+\mathbf{3 . 5}+\mathbf{5 . 7}+\ldots \ldots .+(\mathbf{2 n}- \)
\( \mathbf{1})(\mathbf{2 n}+\mathbf{1})=\frac{\boldsymbol{n}\left(\mathbf{4} \boldsymbol{n}^{2}+\mathbf{6} \boldsymbol{n}-\mathbf{1}\right)}{\mathbf{3}} \)
| 2 |
Maths
|
Which of the following is not the basic postulate(s) of Dalton's atomic theory?
A. Atoms are neither created nor destroyed in a chemical reaction
B. In a compound, the relative number and kinds of atom are constant
c. Atoms of all elements are alike, including their masses
D. Each element is composed of extremely small particles called atoms
| 1 |
Chemistry
|
Freon used as refrigerant is:
A. \( C F_{2}=C F_{2} \)
в. \( C H_{2} F_{2} \)
c. \( C C l_{2} F_{2} \)
D. \( C F_{4} \)
| 1 |
Chemistry
|
If in an A.C., L-C series circuit \( \boldsymbol{X}_{c}>\boldsymbol{X}_{\boldsymbol{L}} \)
Hence potential
A. Lags behind the current by \( \pi / 2 \)
B. Leads the current by \( \pi \) in phase
c. Leads the current by \( \pi / 2 \) in phase
D. Lags behind the current by \( \pi \) in phase
| 3 |
Physics
|
Which of the following practices will not
come under green chemistry?
A. If possible, making use of soap made of vegetable oils instead of using synthetic detergents.
B. Using \( H_{2} O_{2} \) for bleaching purpose instead of using chlorine based bleaching agents.
C. Using bicycle for travelling small distances instead of using petrol/diesel based vehicles.
D. Using plastic cans for neatly storing substances.
| 1 |
Chemistry
|
During dispersion through prism, red light travels fastest and violet travels
slowest of all the seven colours. As a
result:
A. red bends the least and violet bends the most
B. red bends the most and violet bends the least
C. both red and violet bend the least of all colours
D. both red and violet bend the most of all colours
| 3 |
Physics
|
A body of mass \( 1 \mathrm{kg} \) falls freely form a height of \( 100 \mathrm{m}, \) on a platform of mass 3 kg which is mounted on a spering having spering constant \( \mathrm{k}=1.25 \) \( \times 10^{6} N / m . \) The body sticks to the platform and the spring's maximum compression is found to be \( x \). Given that
\( \mathrm{g}=10 \mathrm{m} \mathrm{s}^{-2}, \) the value of \( \mathrm{x} \) will be close
to :
A. \( 4 \mathrm{cm} \)
B. \( 8 \mathrm{cm} \)
\( c \cdot 80 \mathrm{cm} \)
D. 40 cm
| 3 |
Physics
|
Methyl orange is used as an indicator. It shows colour changes in acid, base and
neutral substance. Tabulate your
results as follows:
Inference interence \( \begin{array}{ll}\text { Indicator } & \text { Colour Change } \\ & \text { No change } \\ \text { Methyl Orange } & \cdots \\ & \text { Yellow }\end{array} \) Acid
| 1 |
Chemistry
|
A ball is thrown vertically upwards with
a velocity \( u \). What is the maximum
height to which it will rise before falling back?
A \( \cdot u^{2} / 2 g \)
в. \( g / u \)
\( \mathrm{c} \cdot 2 g / u \)
D. \( u / 2 g \)
| 3 |
Physics
|
The reaction: \( 3 C l O^{-} \rightarrow C l O_{3}^{-}+2 C l^{-} \)
is an example of
A. Oxidation reaction
B. Reduction reaction
c. Disproportionation reaction
D. Decomposition reaction
| 1 |
Chemistry
|
The longest rod that can be placed flat on the bottom of a box is \( 45 \mathrm{cm} \). The box
is \( 8 \mathrm{cm} \) longer than it is wide. Find the
length and breadth of the box.
| 2 |
Maths
|
The band spectrum is caused by:
A . molecules
B. atoms
c. any substance in solid state
D. any substance in liquid state
| 1 |
Chemistry
|
For gaseous reaction, the unit of the
rate of reaction is:
\( A \cdot L a t m \sec ^{-1} \)
B. atm mol sec \( ^{-1} \)
\( \mathbf{c} \cdot \operatorname{atm} \sec ^{-1} \)
D. mol sec
| 1 |
Chemistry
|
Which of the assumptions of the kinetic-molecular theory best explains the observations that a gas can be
compressed?
A. Gas molecules move at random with no attractive forces between them
B. The velocity of gas molecules is proportional to their kelvin temperature
c. The amount of space occupied by a gas is much greater than the space occupied by the actual gas molecules
D. In collisions with the walls of the container or with other molecules, energy is conservedd
| 1 |
Chemistry
|
Write the reaction involved in extraction
of copper from its ore by the process of electrolytic refining.
| 1 |
Chemistry
|
Find the harmonic conjugate of the
point \( R(5,1) \) with respect to points
\( \boldsymbol{P}(\mathbf{2}, \mathbf{1 0}) \) and \( \boldsymbol{Q}(\boldsymbol{6},-\mathbf{2}) \)
| 2 |
Maths
|
A rod is made of uniform material and
has non-uniform cross-section. It is
fixed at both ends as shown and heated
at the mid-section. Which of the
following statements are not correct?
his question has multiple correct options
A. Force of compression in the rod will be maximum at mid-section
B. Compressive stress in the rod will be maximum at left end
c. since the rod is fixed at both the ends, its length will remain unchanged. Hence, no strain will be induced in it.
D. None of above
| 3 |
Physics
|
The value of \( (-32) \div(-4) \) is equal to
\( A \cdot+8 \)
B. -18
\( c \cdot+18 \)
D. - 8
| 2 |
Maths
|
The solution of differential equation
\( \boldsymbol{x}^{2} \boldsymbol{y}^{2} \boldsymbol{d} \boldsymbol{y}=\left(1-\boldsymbol{x} \boldsymbol{y}^{3}\right) d \boldsymbol{x} \) is
A \( \cdot x^{3} y^{3}=x^{2}+C \)
B. \( 2 x^{3} y^{3}=3 x^{2}+C \)
c. \( x^{3} y^{3}=x^{2}+x+C \)
D. \( x^{3} y^{3}=3 x^{2}+C \)
| 2 |
Maths
|
Raghav, Ajay and Nita were given three test tubes \( K, L \) and \( M \) respectively containing unknown substances They observed the following properties about their solutions
Substance Property
The components can be separated by filtration
Particles scatter the light
Particles size is \( 10^{-9} \) to \( 10^{-7} \mathrm{m} \)
On the basis of the above properties identify the solutions \( K, L \) and \( M \)
respectively
A. Ferrous sulphate solution, tonic, paints
B. Calcium carbonate solution, paints, milk
c. Muddy water, milk, calcium carbonate solution
D. Paints, ferrous sulphate solution, calcium carbonate solution
| 1 |
Chemistry
|
If \( \left(a b^{-1}\right)^{2 x-1}=\left(b a^{-1}\right)^{x-2}, \) then what is
the value of \( x ? \)
\( \mathbf{A} \cdot \mathbf{1} \)
B . 2
\( c .3 \)
D.
| 2 |
Maths
|
What is a lunar month?
A. month having 29 days
B. a lunar month is the time between two identical syzgies (new moons or full moons)
C. Moon's orbital period in a non-rotating frame of reference
D. average time for the Moon to pass twice through the same equinox point of the sky
| 3 |
Physics
|
A particle is thrown vertically with a velocity of \( 50 m / s . \) What will be its
velocity at the highest point of the journey? How high would the particle rise? What time would it take to reach
the highest point \( ?\left(g=10 m / s^{2}\right) \)
| 3 |
Physics
|
Observations of a data are
\( \mathbf{1 6}, \mathbf{7 2}, \mathbf{0}, \mathbf{5 5}, \mathbf{6 5}, \mathbf{5 5}, \mathbf{1 0}, \) and \( \mathbf{4 1} \)
Chaitanya calculated the mode and median without taking the zero into consideration. Did Chaitanya do the right thing?
| 2 |
Maths
|
if the percentage of air pollution from different sources are given in the table.
With the help of this, answer the following questions:
Sources of air \( \quad \) Industry \( \quad \) Transportation pollution
Percentage \( \quad 52 \% \) 27\%
a) Which are the two sources to be
monitored more to control air pollution?
(b) Mention the preventive measure for each one of these two sources to control
air pollution?
| 0 |
Biology
|
In the shown figure the magnitude of
acceleration of centre of mass of the
system is \( \left(\boldsymbol{g}=\mathbf{1 0 m} \boldsymbol{s}^{-\mathbf{2}}\right) \)
A \( \cdot 4 m s^{-2} \)
B. \( 10 \mathrm{ms}^{-2} \)
c. \( 2 \sqrt{2} \mathrm{ms}^{-2} \)
\( D \cdot 5 m s^{-2} \)
| 3 |
Physics
|
Prove: If a chord of circle \( x^{2}+y^{2}=8 \)
makes equal intercepts of length 'a' on the coordinate axes then \( |a|<4 \)
| 2 |
Maths
|
Which of the following does not belong to the group formed by the others?
A. Iron
B. Tin
c. Glass
D. stee
| 3 |
Physics
|
the angle of reflection of the ray from
mirror PQ
| 3 |
Physics
|
A body of mass Mkg is on the top point of a smooth hemisphere of radius \( 5 \mathrm{m} \). It is released to slide down the surface of
hemisphere it leaves the surface when its velocity is \( 5 m s^{-1} \) At this instant the
angle made by the radius vector of the body with the vertical is \( \left(g=10 m s^{-2}\right) \)
A \( \cdot \cos ^{-1}\left(\frac{3}{4}\right) \)
B . \( 45^{\circ} \)
\( c \cdot 60 \)
D. \( 90^{\circ} \)
| 3 |
Physics
|
Unpolarised light is passed through a
polaroid \( P_{1} \).When this polarised beam
passes through another polaroid \( P_{2} \) and
if the pass axis of \( P_{2} \) makes angle \( \theta \)
with the pass axis of \( P_{1} \). then write the
intensity when \( \theta \) varies from 0 to \( 2 \pi \)
| 3 |
Physics
|
Which of the following book most impressed the opinion of taxonomists?
A. Enquiry into plants
B. Origin of life
c. Genera plantarum
D. origin of species
| 0 |
Biology
|
Industries like Mathura Oil Refinery
produce pollutants like:
A. sulphur dioxide
B. nitrogen dioxide
c. both a and \( b \)
D. hydrochloric acid
| 1 |
Chemistry
|
Two angles of one triangle are \( 85^{\circ} \) and \( 65^{\circ} \)
is equal to angles of the other. Are they similar? Prove it.
| 2 |
Maths
|
Differentiate between ATP and
AlDS based on their abbreviations.
| 0 |
Biology
|
If \( \vec{a}=i+j+k, \vec{b}=4 i+3 j+4 k, \vec{c}=i+\alpha i+ \)
\( \beta \mathrm{k} \) are linearly dependent and \( |c|=\sqrt{3} \)
then
B. \( \alpha=2, \beta=1 \)
c. \( \alpha=3, \beta=1 \)
D. \( \alpha=4, \beta=1 \)
| 2 |
Maths
|
The sum of first 20 terms of \( \boldsymbol{A P} \) :
\( \mathbf{8}, \mathbf{3},-\mathbf{2}, \dots . . \) is:
\( \mathbf{A} \cdot-790 \)
B. -970
\( \mathbf{c} .-979 \)
D. -779
| 2 |
Maths
|
If \( A \) is a square matrix of order 3 and \( |A|=4 \) find the value of \( |2 A| \)
| 2 |
Maths
|
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