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Two coherent monochromatic light
beams of intensities \( I \) and \( 4 I \) are
superposed. The maximum and minimum possible intensities in the resulting beam are:
A. \( 5 I \) and \( I \)
B. \( 5 I \) and \( 3 I \)
c. \( 9 I \) and \( I \)
D. \( 9 I \) and \( 3 I \)
| 3 |
Physics
|
The normal temperature of human body
is
A \( \cdot 27^{\circ} \mathrm{C} \)
В. \( 37^{\circ} \mathrm{C} \)
\( \mathbf{c} \cdot 47^{\circ} C \)
D. \( 57^{\circ} \mathrm{C} \)
| 3 |
Physics
|
In
Fig., the length (in \( \mathrm{cm} \) ) of each side
has been indicated along the side. State
for each triangle whether it is scalene,
isosceles or equilateral:
| 2 |
Maths
|
Let \( \boldsymbol{S}=\{1,2,3, \ldots, 100\} . \) The number
of non-empty subsets \( \boldsymbol{A} \) of \( \boldsymbol{S} \) such
that the product of elements in \( \boldsymbol{A} \) is even is :-
A \( \cdot 2^{50}\left(2^{50}-1\right) \)
B . \( 2^{100}-1 \)
c. \( 2^{50}-1 \)
D. \( 2^{50}+1 \)
| 2 |
Maths
|
Nucleic acid was first isolated from pus
cells by
A. Friedrich Miescher
B. Altmann
c. waldeyer
D. Hoffmeister
| 0 |
Biology
|
Washing soda is:
A. \( N a_{2} C O_{3} \)
B. \( N a C l \)
c. \( N a_{2} C O_{3}, H_{2} O \)
D. \( N a_{2} S O_{4} \)
| 1 |
Chemistry
|
Most covalent halide of aluminium is :
A. Aluminium bromide
B. Aluminium fluoride
c. Aluminium iodide
D. Aluminium chloride
| 1 |
Chemistry
|
Draw the graphs of equations \( 2 x+y= \)
7 and \( 2 x+y=8 . \) If they intersect, write
the co-ordinates of the point of their intersection.
| 2 |
Maths
|
The following figure shown a logic gate
circuit with two input \( A \) and \( B \) output \( C \) The voltage waveforms of \( A, B \) and \( C \) are
as shown in second figure given. The logic gate is?
A. OR gate
B. AND gate
c. NAND gate
D. NOR gate
| 3 |
Physics
|
The event which cannot happen is
called
A . outcome
B. impossible event
c. frequency
D. none of these
| 2 |
Maths
|
When the price of chair was reduced by \( 20 \% \), the number of chairs sold
increased by \( 80 \% \), what was the effect on the sales rupees?
A . \( 34 \% \) increase
B. 44\% increase
c. \( 54 \% \) increase
D. 64\% increase
| 2 |
Maths
|
An electric dipole of length \( 2 \mathrm{cm}, \) when placed with its axis making an angle of \( 60^{\circ} \) with a uniform electric field,
experiences a torque of \( 6 \sqrt{3} \mathrm{Nm} \) Calculate the potential energy of the dipole, if it has a charge of \( \pm 2 \mathrm{nC} \)
| 3 |
Physics
|
There are many gas molecules \( N H_{3} \)
\( C O, C H_{4} \) and \( S O_{2} \) in a group once. They were discussing about who would be the better absorbed on charcoal. So they
decided to have the race among themselves to prove it as to who would be absorbed more in the same time.
Who do you think won?
A. \( C O \)
в. \( N H_{3} \)
\( \mathrm{c} \cdot C H_{4} \)
\( D \cdot S O_{2} \)
| 1 |
Chemistry
|
There is a right circular cone of height \( h \)
and vertical angle \( 60^{\circ} . \) A sphere when placed inside the cone, it touches the curved surface and the base of the cone.
The volume of sphere is
A \( \cdot \frac{4}{3} \pi h^{3} \)
В \( \cdot \frac{4}{9} \pi h^{3} \)
c. \( \frac{4}{27} \pi h^{3} \)
D. \( \frac{4}{81} \pi h^{3} \)
| 2 |
Maths
|
What is meant by the notation, \( \triangle G, \triangle S \)
and \( \triangle H ? \) Give the relationship between
them.
| 1 |
Chemistry
|
The moment of inertia of a non-
uniform semicircular wire having mass \( \mathrm{m} \) and radius \( \mathrm{r} \) about a line
perpendicular to the plane of the wire through the center is
\( \mathbf{A} \cdot m r^{2} \)
в. \( \frac{1}{2} m r^{2} \)
c. \( \frac{1}{4} m r^{2} \)
D. \( \frac{2^{2}}{5} \)
| 3 |
Physics
|
What are de-Broglie waves? Establish the de-Broglie wavelength equation.
| 3 |
Physics
|
Displacement between maximum
potential energy position and maximum kinetic energy position for a particle executing simple harmonic motion is
| 3 |
Physics
|
How many ordered pairs of \( (\mathrm{m}, \mathrm{n}) \) integers satisfy \( \frac{m}{12}=\frac{12}{n} ? \)
A . 30
B. 15
c. 12
D. 10
| 2 |
Maths
|
Particulate and gaseous pollutants along with harmless gases are released from the thermal power plants. Name the most widely used device of removing particulate pollutants from the air.
A. Electrostatic precipitator
B. Fabric filters
c. cyclone separators
D. None of the above
| 0 |
Biology
|
Solve the following:
\( \frac{4}{5}\left(x+\frac{5}{6}\right)+\frac{2}{3}\left(x-\frac{1}{4}\right)=1 \frac{1}{9} \)
A \( \cdot \frac{9}{14} \)
в. \( \frac{5}{12} \)
\( c \cdot \frac{3}{11} \)
D. \( \frac{7}{11} \)
| 2 |
Maths
|
\( \boldsymbol{A}=\{1,2,3,5\} \) and \( \boldsymbol{B}=\{\mathbf{4}, \mathbf{6}, \mathbf{9}\} \)
Define a relation \( \mathrm{R} \) from \( A \) to \( \mathrm{B} \) by \( \boldsymbol{R}= \)
\( \{(x, y): \text { the difference between } x \text { and } y \)
is odd, \( x \in A, y \in B\} . \) Write \( R \) in Roster
form
| 2 |
Maths
|
Correct naming of the given image is :
A . 2-methyl butene
B. 2-methylbut-2-ene
c. 2 -methylbut-1, 3-diene
D. 2-methyl-1,3 -butene
| 1 |
Chemistry
|
Write the balanced chemical equation for the following reaction and identify the type of reaction:
Nitrogen gas is treated with hydrogen gas in the presence of a catalyst at 773 \( \mathrm{K} \) to form ammonia gas.
| 1 |
Chemistry
|
Two equal positive charges are kept at points \( A \) and \( B . \) The electric potential at the points between \( A \) and \( B \) (excluding these points) is studied while moving
from \( A \) to \( B \). The potential
A. continuously increases
B. continuously decreases
c. increases then decreases
D. decreases then increases
| 3 |
Physics
|
The radius of the curved part of the wire is \( R, \) the linear parts are assumed to be
very long. Find the magnetic induction of the field at the point \( O \) if a currentcarrying wire has the shape shown in
figure above.
A \( \cdot B=\frac{3 \mu_{0}}{4} \frac{i}{R} \)
В. \( B=\frac{\mu_{0}}{2} \frac{i}{R} \)
c. \( _{B}=\frac{2 \mu_{0}}{3} \frac{i}{R} \)
D. \( B=\frac{\mu_{0}}{4} \frac{i}{R} \)
| 3 |
Physics
|
A sample of hydrogen gas \( \boldsymbol{H}_{2} \) is
irradiated by a light of \( \lambda=432.25 A \)
and all hydrogen after atomization gets excited to 3 rd orbit. Assuming no energy loss to the surroundings,
determine the bond energy of \( \boldsymbol{H}_{2} \) in \( \boldsymbol{k} \boldsymbol{J} \)
| 1 |
Chemistry
|
Find the value of \( 0.006 \div 0.06 \)
A . 0.01
в. 1.0
c. \( 0 . \)
D. 0.001
| 2 |
Maths
|
When two cylinder with different size like larger and smaller are kept together then though the pressure is same in both, still the force required is more for larger cylinder. Due to increase in which property?
A. Area
B. height
c. weight
D. volume
| 3 |
Physics
|
Let \( A, G \) and \( H \) be the \( A M, G M \) and \( H M \)
of two positive numbers a and b. The
quadratic equation whose roots are \( \boldsymbol{A} \)
and \( H \) is
This question has multiple correct options
\( \mathbf{A} \cdot A x^{2}-\left(A^{2}+G^{2}\right) x+A G^{2}=0 \)
B \( \cdot A x^{2}-\left(A^{2}+H^{2}\right) x+A H^{2}=0 \)
\( \mathbf{C} \cdot H x^{2}-\left(H^{2}+G^{2}\right) x+H G^{2}=0 \)
D. \( G x^{2}-\left(H^{2}+G^{2}\right) x+G H^{2}=0 \)
| 2 |
Maths
|
Q Type your question_
\( \mathbf{A} \)
\( B \)
\( c \)
\( D \)
| 1 |
Chemistry
|
prove that
\[
\begin{array}{l}
2 \tan ^{-1}\left[\tan \frac{\alpha}{2} \tan \left(\frac{\pi}{4}-\frac{\beta}{2}\right)\right]= \\
\tan ^{-1} \frac{\sin \alpha \cos \beta}{\cos \alpha+\sin \beta}
\end{array}
\]
| 2 |
Maths
|
\( A B C \) is an equilateral triangle of side a The value of \( \overrightarrow{A B} \cdot \overrightarrow{B C}+\overrightarrow{B C} \cdot \overrightarrow{C A}+ \)
\( \overrightarrow{C A} \cdot \overrightarrow{A B} \) is equal to
\( A \cdot \frac{3 a^{2}}{2} \)
B. \( 3 a^{2} \)
\( \mathrm{c} \cdot \frac{3 a^{2}}{2} \)
D. None of these
| 2 |
Maths
|
A spherical ball of radius \( 1 \times 10^{-4} m \)
and density \( 10^{4} k g / m^{3} \) falls freely under
gravity through a distance \( h \) before
entering a tank of water. If after entering the water the velocity of the ball does not change, find \( h \) in \( \mathrm{m} \) (Write
answer to nearest interger). (The
viscosity of water is \( 9.8 \times \) \( \left.10^{-6} N-s / m^{2}\right) \)
| 3 |
Physics
|
Spin only magnetic moment of the
compound \( \boldsymbol{H} \boldsymbol{g}\left[\boldsymbol{C o}(\boldsymbol{S} \boldsymbol{C} \boldsymbol{N})_{4}\right] \) is :
A \( \cdot \sqrt{3} \)
B. \( \sqrt{15} \)
c. \( \sqrt{24} \)
D. \( \sqrt{8} \)
| 1 |
Chemistry
|
When condensation product of hexamethylenediamine and adipic acid
is heated to \( 353 \mathrm{K}\left(80^{\circ} \mathrm{C}\right) \) in an
atmosphere of nitrogen for about \( 4-5 h \) the product obtained is:
A. Solid polymer of nylon 66
B. Liquid polymer of nylon 66
c. Gaseous polymer of nylon 66
D. Liquid polymer of nylon 6
| 1 |
Chemistry
|
As the angle of incidence is increased
for a ray incident on a reflecting surface, the angle between the incident and reflected rays ultimately approaches:
A. zero
В . \( 45^{\circ} \)
\( \mathrm{c} \cdot 90^{\circ} \)
D. \( 180^{\circ} \)
| 3 |
Physics
|
A body is projected vertically upwards with a velocity of \( 19.6 ~ m / s . \) The total time for which the body will remain in
the air is (Take \( \boldsymbol{g}=\mathbf{9 . 8 m} / \boldsymbol{s}^{2} \)
A . \( 4 s \)
B. \( 6 s \)
\( \mathrm{c} .9 \mathrm{s} \)
D. 12 s
| 3 |
Physics
|
The megaspore of a conifer, which is never released from the sporangium, divides by mitosis to produce a:
A. Male gametophyte
B. Female gametophyte
c. Multicellular embryo
D. Pollen grain
| 0 |
Biology
|
Decreasing order of rate of electrophilic aromatic substitution is:
A \( . a>b>c>d \)
в. \( a>c>b>d \)
c. \( b>a>c>d \)
D. \( b>c>a>d \)
| 1 |
Chemistry
|
Water pollution can be defined as:
A. Physical change in the properties of water
B. Chemical change in the properties of water
C. Biological change in the properties of water
D. All of the above
| 1 |
Chemistry
|
Oxy-haemoglobin dissociates into oxygen and deoxy-haemoglobin at
A \( \cdot \) Low \( O_{2} \) pressure in tissue
B. High \( O_{2} \) pressure in tissue
c. Equal \( O_{2} \) pressure inside and outside tissue
D. All times irrespective of \( O_{2} \) pressure
| 0 |
Biology
|
The common formula of Turn bull's blue
and Prussian blue is:
\( \mathbf{A} \cdot F e_{3}\left[F e(C N)_{6}\right]_{2} \)
\( \mathbf{B} \cdot F e_{3}\left[F e(C N)_{6}\right]_{3} \)
c. \( K F e\left[F e(C N)_{6}\right] \)
D. \( K_{4} F e_{2}\left[F e(C N)_{6}\right]_{2} \)
| 1 |
Chemistry
|
In the figure given, if \( D E \| B C \) and
\( \boldsymbol{A B}=\mathbf{5} \boldsymbol{x}-\mathbf{4}, \boldsymbol{B} \boldsymbol{D}=\mathbf{7} \boldsymbol{x}-\mathbf{5}, \boldsymbol{C} \boldsymbol{E}= \)
\( 5 x-3 \) and \( A D=3 x-2, \) find the value
of \( x \)
4
B.
c. \( \frac{7}{10} \)
" \( \frac{9}{10} \)
| 2 |
Maths
|
The quantity of heat absorbed by a
substance during the change of its state without rising its temperature is called latent heat.
A. True
B. False
| 3 |
Physics
|
Short Answer Type Question. Name the two extreme shapes of the
moon. When and at what intervals do
they occur?
| 3 |
Physics
|
Which one of the following property of light does not support wave theory of light
A. Light obeys laws of reflection and refraction
B. Light waves get polarised
c. Light shows photoelectric effect
D. Light shows interference
| 3 |
Physics
|
A liquid drop placed on a horizontal plane has a near spherical shape (slightly flattened due to gravity). Let \( \boldsymbol{R} \) be the radius of its largest horizontal section. A small disturbance causes the
drop to vibrate with frequency \( v \) about
its equilibrium shape. By dimensional analysis the ratio \( \frac{v}{\sqrt{\frac{\sigma}{\rho R^{3}}}} \) can be (Here
\( \sigma \) is surface tension, \( \rho \) is density, \( g \) is
acceleration due to gravity, and \( k \) is an arbitrary dimensionless constant).
\( ^{\mathrm{A}} \cdot \frac{k \rho g R^{2}}{\sigma} \)
в. \( \frac{k \rho R^{2}}{g \sigma} \)
c. \( \frac{k \rho R^{3}}{g \sigma} \)
D. \( \frac{k \rho}{g \sigma} \)
| 3 |
Physics
|
Let \( f: X \rightarrow Y \) be a function defined by
\[
f(x)=a \sin \left(x+\frac{\pi}{4}\right)+b \cos x+c \text { If }
\]
is both one-one and onto, then find the
\( \operatorname{sets} X \) and \( Y \)
A \( x \in\left[-\frac{\pi}{2}-\alpha, \frac{\pi}{2}-\alpha\right] \) and \( Y \in[c-r, c+r] \) where \( \alpha \)
\[
\tan ^{-1}\left(\frac{a+b \sqrt{2}}{a}\right) \text { and } r=\sqrt{a^{2}+\sqrt{2} a b+b^{2}}
\]
в. \( X \in\left[-\frac{\pi}{1}-\alpha, \frac{\pi}{1}-\alpha\right] \) and \( Y \in[c-r, c+r] \) where \( \alpha \)
\[
\tan ^{-1}\left(\frac{a+b \sqrt{2}}{a}\right) \text { and } r=\sqrt{a^{2}+\sqrt{2} a b+b^{2}}
\]
c. \( x \in\left[-\frac{\pi}{4}-\alpha, \frac{\pi}{4}-\alpha\right] \) and \( Y \in[c-r, c+r] \) where \( \alpha= \)
\[
\tan ^{-1}\left(\frac{a+b \sqrt{2}}{a}\right) \text { and } r=\sqrt{a^{2}+\sqrt{2} a b+b^{2}}
\]
D. \( X \in\left[-\frac{\pi}{8}-\alpha, \frac{\pi}{8}-\alpha\right] \) and \( Y \in[c-r, c+r] \) where \( \alpha= \)
\[
\tan ^{-1}\left(\frac{a+b \sqrt{2}}{a}\right) \text { and } r=\sqrt{a^{2}+\sqrt{2} a b+b^{2}}
\]
| 2 |
Maths
|
Using the digits 0,2,4,6,8 not more than once in any number, the number of 5 digited numbers that can be formed
is
A . 16
B. 24
\( c \cdot 120 \)
D. 96
| 2 |
Maths
|
Draw a ray diagram showing the formation of the image by a point object on the principal axis of a spherical convex surface separating
two media of refractive indices \( n_{1} \) and
\( n_{2}, \) when a point source is kept in
rarer medium of refractive index \( n_{1} \) Derive the relation between object and image distance in terms of refractive index of the medium and
radius of curvature of the surface.
Hence obtain the expression for lens-
maker's formula in the case of
thin convex lens.
| 3 |
Physics
|
In the atmosphere which colour of light gets scattered the least?
| 3 |
Physics
|
A cell of emf \( 4.5 ~ V \) is connected to a
junction diode whose barrier potential is \( 0.7 V . \) If the external resistance in the
circuit is \( 190 \Omega \), the current in the circuit is
\( \mathbf{A} \cdot 20 m A \)
B. \( 2 m A \)
\( c .23 m A \)
D. 200 mA
| 3 |
Physics
|
CO is practically non-polar since:
A. the \( \sigma \) -electron drift from \( C \) to \( O \) is almost nullified by the \( \pi \) -electron drift from \( O \) to \( C \)
B. the \( \sigma \) -electron drift from \( O \) to \( C \) is almost nullified by the \( \pi \) -electron drift from \( C \) to \( O \)
C. the bond moment is low
D. there is a triple bond between \( C \) and \( O \)
| 1 |
Chemistry
|
Solve \( \left(x^{2}+3 x\right)(2 x+3)-16 \frac{2 x+3}{x^{2}+3 x} \)
| 2 |
Maths
|
The graph below shows the momentum
of an object with respect to time. The
object is initially travelling in the positive direction. Which section has
the greatest magnitude of force acting on the object?
\( A \)
в.
c. 5
D. 283
E. 3 \& 5
| 3 |
Physics
|
Solve :
\( \int \frac{d x}{x^{2}+8 x+20} \)
| 2 |
Maths
|
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 \( l \)
| 3 |
Physics
|
In given figure the diagonal BD of a parallelogram ABCD intersects the
segment AE at the point \( F \), where E is
any point on the side BC. Prove that
\( \boldsymbol{D} \boldsymbol{F} \times \boldsymbol{E} \boldsymbol{F}=\boldsymbol{F} \boldsymbol{B} \times \boldsymbol{F} \boldsymbol{A} \)
| 2 |
Maths
|
A fruit seller bought mangoes at \( \boldsymbol{R} \boldsymbol{s} \boldsymbol{9 0} \)
per dozen and sold them at a loss of 8
percent. How much will a customer pay for:
i) one mango
ii) 40 mangoes
| 2 |
Maths
|
Cycas revoluta is popularly known as
A. Sago palm
B. Royal palm
c. Date palm
D. Sea palm
| 0 |
Biology
|
For a system to be in equilibrium, the torques acting on it must balance. This is true only if the torques are taken
about
A. the centre of the system
B. the centre of mass of the system
c. any point on the system
| 3 |
Physics
|
Write degree of the differential equation \( \frac{d^{2} y}{d x^{2}}+x\left(\frac{d y}{d x}\right)^{2}=2 x^{2} \log \left(\frac{d^{2} y}{d x^{2}}\right) \)
| 2 |
Maths
|
Fill in the blanks so as to make the
following statements true:
A ray stands on a line, then the sum of the two adjacent angles so formed is
| 2 |
Maths
|
In hypothetical reaction, \( \boldsymbol{A}_{2}+\boldsymbol{B}_{2} \longrightarrow \)
\( 2 A B, \) follows the mechanism as given
below:
\( A_{2} \rightleftharpoons A+A \quad \) (fast reaction)
\( A+B_{2} \longrightarrow A B+B \quad \) (slow reaction)
\( A+B \longrightarrow A B \quad \) (fast reaction)
Give the rate law and order of reaction.
| 1 |
Chemistry
|
toppr
Q Type your question.
4
B.
\( c \)
\( D \)
| 1 |
Chemistry
|
What is the minimum \( p H \) required to
prevent the precipitation of \( Z n S \) in a
solution that is \( 0.01 M Z n C l_{2} \) and
saturated with \( 0.10 M H_{2} S ? \)
\( \left(\boldsymbol{K}_{s p} \boldsymbol{o} \boldsymbol{f} \boldsymbol{Z} \boldsymbol{n} \boldsymbol{S}=\mathbf{1 0}^{-21}, \boldsymbol{K}_{\boldsymbol{a}_{1}} \times\right. \)
\( \left.\boldsymbol{K}_{a_{2}} \boldsymbol{o} \boldsymbol{f} \boldsymbol{H}_{2} \boldsymbol{S}=\mathbf{1 0}^{-20}\right) \)
\( \mathbf{A} \cdot \mathbf{0} \)
B.
\( c \cdot 2 \)
D. 4
| 1 |
Chemistry
|
If \( \boldsymbol{X}=\left\{4^{n}-3 n-1: n \in N\right\} \) and
\( \boldsymbol{Y}=\{\mathbf{9}(\boldsymbol{n}-\mathbf{1}): \boldsymbol{n} \in \boldsymbol{N}\}, \) where \( \mathrm{N} \) is
the set of natural numbers, then \( \boldsymbol{X} \cup \boldsymbol{Y} \)
is equal to:
A. \( Y \)
B. \( N \)
c. \( Y-x \)
D. \( x \)
| 2 |
Maths
|
Choose the correct criteria to prove that two triangles are congruent:
Criteria:
A) All three corresponding sides are
congruent.
B) Two angles and the side between
them are congruent.
C) Two angles and a non-included side
are congruent.
D) Two sides and the angle between
them are congruent. For the given congruency theorem which option is suitable.
1) SSS (side-side-side) =
2) SAS (side-angle-side) =
3) AAS (angle-angle-side) =
4) ASA (angle-side-angle) ) =
| 2 |
Maths
|
The change in the gravitational potential energy when a body of mass \( \mathrm{m} \) is raised to a height \( n R \) above the surface of the Earth is (Here R is the
radius of the earth)
A \( \cdot\left(\frac{n}{n+1}\right) \) mgR
в. \( \left(\frac{n}{n-1}\right) \) тg \( R \)
c. \( n m g R \)
D. \( \frac{m g R}{n} \)
| 3 |
Physics
|
\( 60 \mathrm{mL} \) of a mixture of equal volume of
\( C l_{2} \) and an oxide of chlorine was heated
and then cooled back to the original temperature. The resulting gas mixture was found to have a volume of \( 75 \mathrm{mL} \). On
treatment with caustic soda solution, the volume contracted to 15 mL. Assume
that all measurements are made at the
same \( \mathrm{T} \) and \( \mathrm{P.} \) Deduce the simplest
formula for oxide of \( C l_{2} \) and calculate
its molar mass. The oxide of \( C l_{2} \) on
heating decomposes quantitatively to
\( O_{2} \) and \( C l_{2} . \) If the molar mass is \( x \)
\( \mathrm{gm} / \mathrm{mol}, \) then find the nearest integral
value of \( \boldsymbol{x} \)
| 1 |
Chemistry
|
Assertion
The \( p- \) isomer of dichlorobenzene has
higher melting point than o - and \( m- \) isomer
Reason
\( p- \) isomer is symmetrical and thus shows more closely packed structure
A. Assertion is true, Reason is true and Reason is correct explanation for Assertion
B. Assertion is true, Reason is true and Reason is NOT the correct explanation for Assertion
c. Assertion is true, Reason is false
D. Assertion is false, Reason is true
| 1 |
Chemistry
|
Animal that can change its colour is
A. Planaria
B. Octopus
c. Leech
D. Hydra
| 0 |
Biology
|
A wire of resistance 10.0 ohm is
stretched so as to increase its length by \( 20 \% \). Its resistance then would be:
A. 10.0 ohm
B. 12.0 ohm
c. 14.4 ohm
D. 10.2 ohm
| 3 |
Physics
|
Asthma may be attributed to
A. Bacterial infection of the lungs
B. Allergic reaction of the mast cells in the lungs
C. Inflammation of the trachea
D. Accumulation of fluid in the lungs
| 0 |
Biology
|
Find the friction force.
| 3 |
Physics
|
Sir Julian Huxley (1940) proposed the
term
A. New systematics
B. Natural selection
c. Phylogeny
D. Taxonomy
| 0 |
Biology
|
Copper pyrites, \( C u F e S_{2}, \) is the important source of copper. 10 g of it was leached with dil. \( H_{2} S O_{4} \) and solution diluted to 1 L
\( 10 \mathrm{mL} \) of this solution required \( 10 \mathrm{mL} \) of
0.02 \( \mathrm{M} \mathrm{KMnO}_{4} \) in acidic solution. What
is \% of \( F e \) in \( C u F e S_{2} ? \)
| 1 |
Chemistry
|
For an elastic material
\( \mathbf{A} \cdot Y>\eta \)
в. \( Y<\eta \)
c. \( Y \eta=1 \)
D. \( Y=\eta \)
| 3 |
Physics
|
Which of the following laws are conserved, if the areal acceleration is
zero
A. Law of conservation of angular velocity
B. Law of conservation of angular momentum
c. Law of conservation of angular acceleration
D. Law of conservation of angular displacement
| 3 |
Physics
|
A high school had 1200 students
enrolled in 2003 and 1500 students in
\( 2006 . \) If the student population \( P ; \) grows as a linear function of time \( t, \) where \( t \) is
the number of years after 2003
(a) How many students will be enrolled
in the school in \( 2010 ? \)
(b) Find a linear function that relates
the student population to the time \( t \)
| 2 |
Maths
|
A golfer swings a golf club so that the end of the club is moving \( 30 \mathrm{m} / \mathrm{s} \) when it strikes the ball. The radius of the
circular path for the end of the club (which includes the club and the
golfer's arms ) is \( 1.8 \mathrm{m} \)
What is the centripetal acceleration of
the end of the club as it strikes the
ball?
\( \mathbf{A} \cdot 500 m / s^{2} \)
B. \( 1.7 \mathrm{m} / \mathrm{s}^{2} \)
\( \mathbf{c} \cdot 0.06 m / s^{2} \)
D. \( 54 \mathrm{m} / \mathrm{s}^{2} \)
E . \( 0 \mathrm{m} / \mathrm{s}^{2} \)
| 3 |
Physics
|
The atomic number of astatine which
belongs to the sixth period is:
A . 53
B. 54
\( c \cdot 85 \)
D. 86
| 1 |
Chemistry
|
Which one of the following statements
is false?
A. Photochemical smog causes irritation in eyes
B. London smog is a mixture of smoke and fog
C. Photochemical smog results in the formation of PAN
D. London smog is oxidising in nature
| 1 |
Chemistry
|
Assertion
(A): Steel is more elastic than
rubber.
Reason (R): Under a given deforming force, steel is deformed less than rubber.
A) Both Assertion and Reason are true and the reason is correct explanation of
the assertion
B)Both Assertion and Reason are true,
but reason is not correct explanation of the assertion
C) Assertion is true, but the reason is
false
D) Assertion is false, but the reason is
true
\( A \cdot A \)
B. B
\( c \cdot c \)
\( D \cdot D \)
| 3 |
Physics
|
Find the discriminant of the following quadratic equations and hence determine the nature of the roots of the
equation:
\( \frac{1}{4} x^{2}-2 x+1=0 \)
| 2 |
Maths
|
The value of E for elements are as
follows:
\( \boldsymbol{F} \boldsymbol{e}^{+\mathbf{2}}+\boldsymbol{2} \boldsymbol{e} \rightarrow \boldsymbol{F} \boldsymbol{e} ; \boldsymbol{E}^{\boldsymbol{o}}=\mathbf{0 . 4 4} \boldsymbol{V} \)
\( \boldsymbol{F} \boldsymbol{e}^{+\mathbf{3}}+\mathbf{1} \boldsymbol{e} \rightarrow \boldsymbol{F} \boldsymbol{e}^{+\mathbf{2}} ; \boldsymbol{E}^{\boldsymbol{o}}=+\mathbf{0 . 7 7} \boldsymbol{V} \)
\( \boldsymbol{S} \boldsymbol{n}^{+\mathbf{4}}+\boldsymbol{2} \boldsymbol{e} \rightarrow \boldsymbol{S} \boldsymbol{n}^{+2} ; \boldsymbol{E}^{\boldsymbol{o}}=+\mathbf{0 . 1 3} \boldsymbol{V} \)
\( \boldsymbol{I}_{2}+\boldsymbol{2} \boldsymbol{e} \rightarrow \boldsymbol{2} \boldsymbol{I} ; \boldsymbol{E}^{o}=+\mathbf{0 . 5 4} \boldsymbol{V} \)
\( \boldsymbol{C r}^{3+}+\boldsymbol{3} \boldsymbol{e} \rightarrow \boldsymbol{C r} ; \boldsymbol{E}^{o}=\mathbf{0 . 7 4} \boldsymbol{V} \)
Based on the above data correct
statements are:
This question has multiple correct options
A. Strongest reducing agent is \( C r^{3+} \)
B. Strongest oxidising agent is \( F e^{3} \)
\( \mathbf{c} \cdot S n^{+4} \) can oxidise \( I \)
D. \( S n^{+3} \) can oxidise \( I \)
| 1 |
Chemistry
|
If A's salary is \( 50 \% \) more than B's, then
by what percent B's salary is less than A's salary?
A . 32\%
B. 33\%
\( \mathbf{c} \cdot 33 \frac{1}{3} \% \)
D. 42\%
| 2 |
Maths
|
Select wrong statement from the following:
Electromagnetic waves
A. are transverse
B. travel with same speed in all media
c. travel with the speed of light
D. are produced by accelerating charge
| 3 |
Physics
|
Fill up the blanks in the following paragraph by selecting the correct
option.
The movement of air into and out of the
lungs is carried out by creating a
(i) \( _{--}- \) between the lungs and the atmosphere. Inspiration can occur if intra-pulmonary pressure is
(ii) than the atmospheric pressure. Expiration takes place when the intra-pulmonary pressure is
(iii) \( _{---} \) than the atmospheric pressure. Inspiration is initiated by the
(iv) \( _{--} \) of diaphragm which
\( (v) \)
the volume of thoracic
chamber in the anteroposterior axis.
A. (i) concentration gradient (ii) less (iii) higher (iv) relaxation (v)increases
B. (i) concentration gradient (ii) higher (iii) less (iv) contraction (v)decreases
c. (i) pressure gradient (ii) higher (iii) less (iv) relaxation
(v)decreases
D. (i) pressure gradient (ii) less (iii) higher (iv) contraction (v) increases
| 0 |
Biology
|
State Newlands law of Octaves.
| 1 |
Chemistry
|
In heart cells, which one a second
messenger that speeds up muscle contraction in response to adrenaline
A . cAMP
B. сGMP
c. GтР
D. ATP
E. AMP
| 0 |
Biology
|
In what ways is the bar graph better
than pictography.
| 2 |
Maths
|
Which of the following represents an infra-red wavelength?
A \( \cdot 10^{-4} \mathrm{cm} \)
B. \( 10^{-5} \mathrm{cm} \)
\( \mathrm{c} \cdot 10^{-6} \mathrm{cm} \)
D. \( 10^{-7} \mathrm{cm} \)
| 3 |
Physics
|
Modes of controlling pollution in large
cities include :
A. less use of insecticides
B. proper disposal of organic wastes, sewage and industrial effluents
c. shifting of factories out of the residential area
D. all of the above
| 1 |
Chemistry
|
Certain force acting on a \( 20 \mathrm{kg} \) mass
changes its velocity from \( 5 m s^{-1} \) to
\( 2 m s^{-1} . \) Calculate the work done by the
force.
| 3 |
Physics
|
Q Type your question
Based on the graphs, how does the
motion between the two objects differ?
Frequency
II. Angular Frequency
III. Period
IV. Amplitude
V. Phase Constant
A . I and II
B. I, II, and III
C. I and III
\( D \)
E. All of them (I - v )
| 3 |
Physics
|
Sugar is soluble in water due to:
A. High solvation energy.
B. Ionic character of sugar.
C. High conductivity character of sugar.
D. Hydrogen bond formation with water.
| 1 |
Chemistry
|
If \( f(x) \) and \( g(x) \) are both continuous at
\( x=c \) then which of the following is/are
always continuous at \( x=c ? \)
This question has multiple correct options
A. \( f(x)+g(x) \)
B. \( (f(x)-g(x)) \times f(x) \)
c. \( g(x) \times f(x) \)
D. \( \frac{f(x)-g(x)}{g(x)} \)
| 2 |
Maths
|
Polaroid glass is used in sun glasses
because
A. It reduces the light intensity to half on account of polarisation
B. It is fashionable
c. It has good colour
D. It is cheaper
| 3 |
Physics
|
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