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The brightest star in the night sky as seen from earth is
A. sun
B. Alpha centime
c. sirius
D. Pleides
| 3 |
Physics
|
Which of the following gas mixture is used by the divers inside the sea?
A. \( O_{2}+H e+N_{2} \)
B. \( O_{2}+X e \)
\( \mathbf{c} \cdot O_{2}+A r+N_{2} \)
D. \( O_{2}+N_{2} \)
| 1 |
Chemistry
|
(i) When water is poured on an icy surface, some ice melts.
(ii) When an ice block is added to water
in a drum, some ice melts.
So in which case is more ice melted.
When water is added to ice, or ice to
water?
| 3 |
Physics
|
The centre of mass of two particles lies
on the line
A. joining the particles
B. perpendicular to the line joining the particles
c. at any angle to this line
D. None of these
| 3 |
Physics
|
If \( \sec ^{2} \theta=\frac{4}{3}, \) then the general solution
of \( \boldsymbol{\theta} \) is
\( \mathbf{A} \cdot 2 n \pi \pm \pi / 6 \)
в. \( 2 n \pi \pm \pi / 3 \)
c. \( n \pi \pm \pi / 6 \)
D. \( n \pi \pm \pi / 3 \)
| 2 |
Maths
|
The hydraulic press shown in the figure is used to raise the mass \( M \) through a height of \( 0.5 \mathrm{cm} \) by performing \( 500 \mathrm{J} \) of work at the small piston. The diameter
of the large piston is \( 10 \mathrm{cm} \), while that of
the smaller one is \( 2 c m \). The mass \( M \) is
A. \( 100 k g \)
В. \( 10^{6} k g \)
\( \mathbf{c} \cdot 10^{3} k g \)
D. None of these
| 3 |
Physics
|
A silver atom in a solid oscillates in
simple harmonic motion in some
direction with a frequency of \( 10^{12} / \) sec.
What is the force constant of the bonds
connecting one atom with the other? (Mole wt. of silver \( =108 \) and Avagadro
number \( =\mathbf{6 . 0 2} \times \mathbf{1 0}^{\mathbf{2 3}} \mathbf{g} \mathbf{m} \mathbf{m o l}^{-\mathbf{1}} \) ).
A. \( 2.2 \mathrm{N} / \mathrm{m} \)
в. \( 5.5 \mathrm{N} / \mathrm{m} \)
c. \( 6.4 \mathrm{N} . \mathrm{m} \)
D. \( 7.1 \mathrm{N} / \mathrm{m} \)
| 3 |
Physics
|
A beam of unpolarized light is passed first through a tourmaline crystal \( \boldsymbol{A} \) and then through another tourmaline
crystal \( B \) oriented so that its principal
plane is parallel to that of \( A \). The
intensity of final emergent light is \( I \)
The value of the \( I \) is
A \( \cdot \frac{I_{o}}{2} \)
в. \( \frac{I_{o}}{4} \)
c. \( \frac{I_{o}}{8} \)
D. none of these
| 3 |
Physics
|
Which of the following statement is not
true?
A. Electrostatic force is a conservative force.
B. Potential at a point is the work done per unit charge in bringing a charge from infinity to that point in an electric field.
C. Electrostatic force is non-conservative.
D. Potential is the ratio of work to charge.
| 3 |
Physics
|
A block of mass 2 kg slides on a rough surface at \( t=0, \) if speed is \( 2 \mathrm{m} / \mathrm{s} \). It stops after covering a distance of \( 20 \mathrm{cm} \) because of friction. Find work done by
the friction.
| 3 |
Physics
|
When \( A g N O_{3} \) is heated strongly, the
products formed are :
A \( \cdot N O \) and \( N O_{2} \)
B. \( N O_{2} \) and \( N_{2} O \)
c. \( N O_{2} \) and \( O_{2} \)
D. \( N O \) and \( O_{2} \)
| 1 |
Chemistry
|
The distance between the plates of a
condenser is reduced to \( \frac{1}{4} t h \) and the
space between the plates is filled up by a medium of dielectric constant \( \mathrm{K}(2.8) \). The
capacity is increased by :
A. 5.6times
B. 11.2times
c. 22.4 times
D. 44.8 times
| 3 |
Physics
|
The first order differential equation of
the family of circles with fixed radius \( \mathbf{r} \)
and with centre on \( x \) -axis is:
A \( \cdot y^{2}\left(\frac{d y}{d x}\right)^{2}+y^{2}=r^{2} \)
B・ \( x^{2}\left(\frac{d y}{d x}\right)^{2}+y^{2}=r^{2} \)
c. \( \left(\frac{d y}{d x}\right)^{2}+y^{2}=r^{2} \)
D. \( y^{2}-\left(\frac{d y}{d x}\right)^{2}=r^{2} \)
| 2 |
Maths
|
Describe the process of nutrition in
amoeba.Draw labelled diagram to show
that various steps of nutritions in
amoeba.
| 0 |
Biology
|
Find the equations of the lines for which \( \tan \theta=\frac{1}{\sqrt{2}}, \) where \( \theta \) is the angle of
inclination of the line and \( y- \) intercept
is 1
| 2 |
Maths
|
Let \( S(\alpha)=\left\{(x, y): y^{2} \leq x, 0 \leq x \leq \alpha\right\} \)
and \( A(\alpha) \) is area of the region \( S(\alpha) . \) If
for a \( \lambda, 0<\lambda<4, A(\lambda): A(4)=2: 5 \)
then \( \lambda \) equals
\( ^{\mathrm{A}} \cdot\left(\frac{4}{25}\right)^{\frac{1}{3}} \)
\( ^{\mathrm{B}} 4\left(\frac{4}{25}\right)^{\frac{1}{3}} \)
\( ^{c} \cdot\left(\frac{2}{5}\right)^{\frac{1}{3}} \)
\( ^{\mathrm{D}} 4\left(\frac{2}{5}\right)^{\frac{1}{3}} \)
| 2 |
Maths
|
An athlete completes one round of a circular track of radius \( \boldsymbol{R} \) in \( \mathbf{4 0} \boldsymbol{s} \). His
displacement at the end of 2 minutes will be
A \( .2 \pi R \)
в. \( 6 \pi R \)
\( c .2 R \)
D. Zero
| 3 |
Physics
|
\( 25 \% \) of a number is less than \( 18 \% \) of 650
by \( 19 . \) The number is
\( \mathbf{A} \cdot 380.8 \)
в. 392
c. 450
D. 544
| 2 |
Maths
|
How much pressure will a girl of \( 50 \mathrm{kg} \)
wearing heels with an area of cross
section \( 1 c m^{2} \) exert on the ground?
A \( .150 \times 10^{4} P a \)
В. \( 250 \times 10^{4} P a \)
\( \mathbf{c} .350 \times 10^{4} P a \)
D. \( 450 \times 10^{4} P a \)
| 3 |
Physics
|
If \( A \) is a skew-symmetric matrix of
order 3 then find \( |A| \)
| 2 |
Maths
|
Show budding in hydra diagrammatically
| 0 |
Biology
|
Figure shown a spherical concave
mirror with its pole at (0,0) and
principal axis along x axis. There is a
point object at \( (-40 \mathrm{cm}, 1 \mathrm{cm}), \) find the
position of image.
| 3 |
Physics
|
Which of the following ray diagram is
correct?
\( A \)
B.
\( c \)
\( D \)
| 3 |
Physics
|
If specific heat of 1 g of coal is \( S \) then the specific heat of 10 g of coal is
| 3 |
Physics
|
The order of \( \left(\frac{\boldsymbol{d}^{2} \boldsymbol{y}}{\boldsymbol{d} \boldsymbol{x}^{2}}\right)^{2}+\left(\frac{\boldsymbol{d} \boldsymbol{y}}{\boldsymbol{d} \boldsymbol{x}}\right)^{3}+\boldsymbol{3} \boldsymbol{y}= \)
\( x^{4} \) is:
\( \mathbf{A} \cdot \mathbf{3} \)
B.
\( c \cdot 2 \)
D.
| 2 |
Maths
|
Assertion
Orbit and orbital are synonymous.
Reason
A circular path around the nucleus in
which an electron moves is called orbit
or orbital.
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
| 1 |
Chemistry
|
(a) Write the Haworth structure of
sucrose.
(b) Sucrose is a non-reducing sugar. Why?
| 1 |
Chemistry
|
A body is projected vertically up with u. Its velocity at half its maximum height is?
A \( \cdot \frac{u}{2} \)
в. \( \frac{u^{2}}{2} \)
c. \( \sqrt{2} u \)
D. \( \frac{u}{\sqrt{2}} \)
| 3 |
Physics
|
The main axis forms a cup-shaped receptacle with a narrow terminal opening. Flowers are arranged in cymose within the cup. The description refers to
A. Syconus
B. Cyathium
c. Hypanthodium
D. Verticillaster
| 0 |
Biology
|
In a transverse wave, the distance
between a crest and the immediate
trough is \( \lambda / 2 ? \)
| 3 |
Physics
|
The layer containing petroleum oil and gas is:
A. below water
B. between water and sand
c. below sand
D. above the water
| 1 |
Chemistry
|
A box starts at rest at the top of a 30.0
degree incline as shown and slides
down a diagonal distance of \( 4.00 m \). If
the box weighs \( 2.00 k g \) and there is no
friction, the speed of the box at the bottom of the incline is most nearly:
A. \( 4.43 \mathrm{m} / \mathrm{s} \)
B. \( 6.26 \mathrm{m} / \mathrm{s} \)
c. \( 8.24 \mathrm{m} / \mathrm{s} \)
D. \( 8.86 m / s \)
E. Not enough information
| 3 |
Physics
|
In a rectangle \( A B C D, A B=12 \mathrm{cm} \)
and \( \angle B A C=30^{\circ} . \) Calculate the length
of side \( B C \) and diagonal \( A C \)
| 2 |
Maths
|
A gun fires a bullet of mass 50 g with a velocity of mass \( 130 \mathrm{ms}^{-1} \). Because of
this, the gun is pushed back with a velocity of \( 1 \mathrm{ms}^{-1} \). The mass of the gun
is :
\( \mathbf{A} \cdot 15 \mathrm{kg} \)
B. 30 kg
c. \( 6.5 \mathrm{kg} \)
D. 20 kg
| 3 |
Physics
|
If \( \boldsymbol{f}: \boldsymbol{R} \rightarrow \boldsymbol{S} \) defined by \( \boldsymbol{f}(\boldsymbol{x})=\sin \boldsymbol{x}- \)
\( \sqrt{3} \cos x+1 \) is onto, then the interval of
\( \boldsymbol{S} \) is
A \( \cdot[-1,3] \)
в. [1,1]
c. [0,1]
D. [0,-1]
| 2 |
Maths
|
The displacement - time graph is shown in the figure above. What does this
graph represent? Find velocity at point
\( \mathbf{A} \)
| 3 |
Physics
|
Which of the following statements are
correct?
\( \mathbf{A} \cdot \beta-\mathrm{D}(+) \) glucopyranose is more stable than \( \alpha-\mathrm{D}(+) \) glucopyranose
B. Invert sugar is laevorotatory
C. Dextrose is \( D(+) \) glucose
D. Levulose is D(-) fructose
| 1 |
Chemistry
|
Two symmetrical double convex lenses A and B have same focal length,but the radii of curvature differ so that \( \boldsymbol{R}= \)
\( 0.9 R . \) If \( \mu=1.63 \) find the \( \mu_{B} \)
| 3 |
Physics
|
A parallel plate condenser has circular plates, each of radius \( 5 \mathrm{cm} \). It is being charged so that electric field in the gap between its plates rises steadily at the rate of \( 10^{12} V / m s . \) What is the
displacement current?
\( \mathbf{A} \cdot 0.07 A \)
B . \( 1.39 A \)
c. \( 13.9 A \)
D. \( 139 A \)
| 3 |
Physics
|
Rate at which electric work is done is
called as ?
A. electric power
B. electric energy
c. electric force
D. voltage.
| 3 |
Physics
|
Show that the function \( f(x)=\frac{x-2}{x+1} \)
for \( \boldsymbol{x} \neq \mathbf{0} \) is increasing.
| 2 |
Maths
|
Phase difference \( (\phi) \) and path
difference \( (\delta) \) are related by :
A \( \cdot \frac{2 \pi}{\lambda} \delta \)
в. \( \frac{\pi}{2 \lambda} \delta \)
\( c \cdot \frac{\lambda}{2 \pi} \delta \)
D. \( \frac{2 \lambda}{\pi} \)
| 3 |
Physics
|
Evaluate.
\( \mid \begin{array}{ccc}\frac{1}{z} & \frac{1}{z} & -\frac{(x+y)}{z^{2}} \\ -\frac{(y+z)}{x^{2}} & \frac{1}{x} & \frac{1}{x} \\ -\frac{y(y+z)}{x^{2} z} & \frac{x+2 y+z}{x z} & -\frac{y(x+y)}{x z^{2}}\end{array} \)
| 2 |
Maths
|
Assertion
Statement \( -1 f(x)=|x| \cos x \) is not
differentiable at \( \mathbf{x}=\mathbf{0} \)
Reason
Statement - 2 Every absolute value functions are not differentiable.
A. Statement-1 is True, Statement-2 is True
Statement- 2 is a correct explanation for
Statement-1.
B. Statement-1 is True, Statement-2 is True
Statement-2 is NOT a correct explanation
for Statement-
c. Statement-1 is True, Statement-2 is False
D. Statement-1 is False, Statement-2 is True
| 2 |
Maths
|
Let \( \boldsymbol{z}=\frac{\cos \boldsymbol{\theta}+\boldsymbol{i} \sin \boldsymbol{\theta}}{\cos \boldsymbol{\theta}-\boldsymbol{i} \sin \boldsymbol{\theta}}, \frac{\boldsymbol{\pi}}{\boldsymbol{4}}<\mathbf{0}<\frac{\boldsymbol{\pi}}{\boldsymbol{2}} \)
Then arg z is
\( A \cdot 2 \theta \)
в. \( 2 \theta-\pi \)
\( c . \pi+2 \theta \)
D. None of these
| 2 |
Maths
|
\( N m^{-1} \) is the Sl unit of:
A. viscosity
B. spring constant
c. surface tension
D. both B and C
| 3 |
Physics
|
Weightlessness experienced in a spaceship is due to
A. absence of of inertia.
B. absence of gravity
c. absence of accelerating force.
D. free fall of the spaceship
| 3 |
Physics
|
Which of the following is an intensive property?
A. Surface tension and density
B. Surface tension and volume
c. Enthalpy mass and density
D. None of these
| 1 |
Chemistry
|
\( U^{235} \) and \( U^{238} \) are separated by:
A. sublimation
B. gaseous diffusion
c. electrolysis
D. precipitation
| 1 |
Chemistry
|
Consider the following statements A and \( \mathrm{B} \) and identify the correct answer
A) The speed acquired by a body when falling in a vacuum for a given time is dependent on the mass of the falling body
B) A stone falls freely from rest and the total distance covered by it in the last
second of its motion equals the distance covered by it in the first three seconds of its motion. The stone
remains in the air for \( 5 s .\left[g=10 m s^{-2}\right] \)
A. Both A \& B are true
B. A is true but B is false
c. B is true but A is false
D. Both A \& B are false
| 3 |
Physics
|
Dalton's atomic theory was not
accepted fully:
A. when atoms combine It must be presumed to be a binary one, unless some cause appear to the contrary.
B. when elements react, their atoms sometimes combine in more than one simple, whole-number ratio.
C. elements are characterized by the mass of their atoms.
D. None of the above
| 1 |
Chemistry
|
Resultant force acting on a diamagnetic material in a magnetic field is in direction.
A. From stronger to the weaker part of the magnetic field
B. From weaker to the stronger part of the magnetic field
c. Perpendicular to the magnetic field
D. In the direction making \( 60^{\circ} \) to the magnetic field
| 3 |
Physics
|
If \( \alpha+\beta=\frac{\pi}{2} \) and \( \sin \alpha=\frac{1}{3}, \) then \( \sin \beta \)
is equal to
A. \( \frac{\sqrt{2}}{3} \)
B. \( \frac{2 \sqrt{2}}{3} \)
\( c \cdot \frac{2}{3} \)
D. 3
| 2 |
Maths
|
Find the value of \( x \)
A \( \cdot 50^{\circ} \)
B \( .60^{\circ} \)
\( c \cdot 70^{\circ} \)
D. \( 80^{\circ} \)
| 2 |
Maths
|
The most probable radius (in pm) for
finding the electron in \( \boldsymbol{H} \boldsymbol{e}^{+} \) is:
A . \( 0 . \)
в. 52.9
c. 26.45
D. 105.8
| 1 |
Chemistry
|
Name one metal in each part fitting the given description:
A metal that reacts with oxygen without burning. This question has multiple correct options
A. aluminium
B. chromium
c. iron
D. None of the above
| 1 |
Chemistry
|
The heat of formation \( \left(\Delta H_{f}^{o}\right) \) of \( H_{2} O(l) \) is equal to:
A. zero
B. molar heat of combustion of \( H_{2}(l) \)
c. molar heat of combustion of \( H_{2}(g) \)
D. sum of heat of formation of \( H_{2} O(g) \) and \( O_{2}(g) \)
| 1 |
Chemistry
|
Which of the following is correct for
cathode rays in discharge tube?
A. Independent of the nature of the cathode
B. Independent of the nature of the gas
C. Is observed in presence of electric and magnetic field
D. All of the above
| 1 |
Chemistry
|
What are viruses? How do they differ
from other microbes?
| 0 |
Biology
|
The shape of the wave diverging from a point of source is
| 3 |
Physics
|
A long string under tension of \( 100 N \)
has one end at \( x=0 . \) A sinusoidal
wave is generated at \( x=0 \) whose
equation is given by
\( \boldsymbol{y}= \)
\( (0.01 c m) \sin \left[\left(\frac{\pi x}{10} m\right)-50 \pi t(s e c)\right] \)
Draw velocity time graph of particle at
\( \boldsymbol{x}=\mathbf{5} \boldsymbol{m} \)
| 3 |
Physics
|
Male \( X X \) and female \( X Y \) sometime such
conditions occur due to
A. Deletion
B. Transfer of segments in \( x \) and \( Y \) chromosomes
c. Aneuploidy
D. Hormonal imbalance
| 0 |
Biology
|
A short solenoid of length \( 4 c m, \) radius
\( 2 c m \) and 100 turns is placed inside and
on the axis of a long solenoid of length
\( 80 c m \) and 1500 turns. A current of \( 3 A \)
flows through the short solenoid. The mutual inductance of two solenoids is
A. \( 0.012 H \)
H
в. \( 5.3 \times 10^{-5} H \)
\( \mathbf{c} \cdot 5.91 \times 10^{-3} \mathrm{H} \)
D. \( 8.3 \times 10^{-5} H \)
| 3 |
Physics
|
\( A=12 B=15 \) find \( 5 A-3 B \)
| 2 |
Maths
|
Define S phase and related events.
| 0 |
Biology
|
A \( 500 W \) heating unit is designed to operate on a \( 115 \mathrm{V} \) line. If line voltage
drops to \( 110 V \) line, the percentage drop in heat output will be:
A. \( 7.6 \% \)
B. \( 8.5 \% \)
c. \( 8.1 \% \)
D. 10.2 \%
| 3 |
Physics
|
In a triangle \( A B C, \) it is given that \( \angle B= \)
\( \mathbf{1 0 5}^{\circ} \) and \( \angle C=\mathbf{5 0}^{\circ} \). Find \( \angle \boldsymbol{A} \)
| 2 |
Maths
|
Glucose is stored as glycogen in
A. Pancreas
B. Bone
c. Kidney
D. Liver
| 0 |
Biology
|
If \( A B C D \) is a rhombus such that
\( \angle A C B=40^{\circ}, \) then \( \angle A D B \) is
A \( \cdot 40^{\circ} \)
B . \( 45^{\circ} \)
\( c .50^{\circ} \)
D. \( 60^{\circ} \)
| 2 |
Maths
|
Evaluate : \( \int \frac{1}{2 x^{2}+x+1} d x \)
| 2 |
Maths
|
In reverse bias, pn-junction diode
depletion layer width:
A. decreases
B. increases
c. remains same
D. can't predict
| 3 |
Physics
|
Isotopes are those atoms which have
same :
A. atomic number
B. atomic mass
C. atomic charge
D. all
| 1 |
Chemistry
|
Represent the structure of dichromate
ion.
| 1 |
Chemistry
|
In mechanism of hormone action, which
of the following is not a second
messenger?
A. Cyclic AMP
в. \( I P_{3} \)
\( \mathbf{c} \cdot C a^{++} \)
D. \( M g^{+} \)
| 0 |
Biology
|
Find \( \int \frac{d x}{x\left(x^{3}+1\right)^{2}} \)
| 2 |
Maths
|
In which of the following compounds the carbon marked with asterisk is most
electronegative?
\( \mathbf{A} \cdot C H_{3}-C H_{2}-\dot{C} H_{2}-C H_{3} \)
в. \( C H_{3}-\dot{C H}=C H-C H_{3} \)
c. \( C H_{3}-C H_{2}-C \equiv \dot{C} H \)
D. \( C H_{3}-C H_{2}-C H=\dot{C} H_{2} \)
| 1 |
Chemistry
|
Iris : controls the size of the pupil ::
: regulates the amount of light entering the eye
A. Pupil
B. Lens
c. Retina
D. cornea
| 3 |
Physics
|
From which of the following, methanol is not used?
A. For making dyes, phenol and polymer
B. Used as raw material in plastic industry
c. To preserve residues of dead animals
D. In production of ammonia
| 1 |
Chemistry
|
A barometer is faulty. When the true barometer reading are 73 and \( 75 \mathrm{cm} \) of \( \mathrm{Hg}, \) the faulty barometer reads \( 69 \mathrm{cm} \) and \( 70 \mathrm{cm} \) respectively. What is the true reading when the faulty barometer reads \( 69.5 \mathrm{cm} ? \)
| 3 |
Physics
|
The chlorination of methane is an
example of :
A. Addition
B. Elimination
c. substitution
D. Chain reaction
| 1 |
Chemistry
|
The inverse of the statement \( (p \wedge \sim \)
\( \boldsymbol{q}) \rightarrow \boldsymbol{r} \) is
A. \( (p \vee \sim q) \rightarrow \sim r \)
в. \( (\sim p \wedge \sim q) \rightarrow \sim r \)
c. \( (\sim p \vee q) \rightarrow \sim r \)
D. None of these.
| 2 |
Maths
|
The order and degree of the differential equation of all circles in the first quadratic which touch the co-ordinate axis is:
A .1,2
в. 2,1
\( c .3,2 \)
D. 4,3
| 2 |
Maths
|
Compared to a burn due to water at \( 100^{\circ} \)
C, a burn due to steam at \( 100^{\circ} \mathrm{C} \) is
A. more dangerous
B. less dangeour
c. equally dangerous
D. none of these
| 3 |
Physics
|
In what form fuels store their energy?
A. Chemical
B. Nuclear
c. Both A and B
D. Thermal
| 1 |
Chemistry
|
At room temperature, copper has free electron density of \( 8.4 \times 10^{28} m^{-3} . \) The
electron drift velocity in a copper conductor of cross-sectional area of
\( 10^{-6} m^{2} \) and carrying a current of \( 5.4 A \) will be
A \( \cdot 4 m s^{-1} \)
B. \( 0.4 \mathrm{ms}^{-1} \)
\( \mathrm{c} \cdot 4 \mathrm{cms}^{-1} \)
D. \( 0.4 \mathrm{mms}^{-1} \)
| 3 |
Physics
|
An object of mass \( 1 \mathrm{kg} \) has a PE of 1 relative to the ground when it is at a height of:
A. \( 0.102 \mathrm{m} \)
B. \( 1 \mathrm{m} \)
c. \( 9.8 \mathrm{m} \)
D. 32 \( m \)
| 3 |
Physics
|
Surface charge density of a sphare of a radius \( 10 \mathrm{cm} \) is \( 8.85 \times 10^{-8} c / m^{2} \)
Potential at the centre of the sphare is
A . \( 1000 V \)
B. \( 885 V \)
\( c \cdot 10^{-3} \)
D. \( 442.5 V \)
| 3 |
Physics
|
The following table gives the
distribution of expenditures of different
families on education. Find the mean
expenditure on education of a family.
\( \begin{array}{ll}\text { Expenditure (in. Rs.) } & \text { No. of families } \\ 1000-1500 & 24 \\ 1500-2000 & 10 \\ 2000-2500 & 33 \\ 2500-3000 & 28 \\ 3000-3500 & 30 \\ 3500-4000 & 22 \\ 4000-4500 & 16 \\ 4500-5000 & 7\end{array} \) mean is 2823.53
If true then enter 1 and if false then
enter 0
| 2 |
Maths
|
If BOD value is greater than 17 ppm, then water belongs which of the following to category?
A. Normal water
B. Highly polluted water
c. Usable water
D. Slightly polluted water
| 1 |
Chemistry
|
A prothallus is
A. A structure in pteridophytes formed before the thallus develops
B. A sporophytic free living structure formed in pteridophytes
C. A gametophyte free living structure formed, in pteridophytes
D. A primitive structure formed after fertilisation in pteridophytes
| 0 |
Biology
|
The reaction \( \frac{1}{2} \times H_{2}(g)+A g C l(a q) \rightarrow \)
\( H^{+}(a q)+A g(s) \)
can be represented in the galvanic cell
as:
\( \mathbf{A} \cdot \operatorname{Ag} / \mathrm{AgCl}(\mathrm{s})\left|\mathrm{KCl}(\mathrm{sol}) \| \mathrm{AgNO}_{3}(\mathrm{sol})\right| \mathrm{Ag} \)
B. PtH \( _{2} \) (g) I HCI(sol) II AgNO \( _{3} \) (sol) \( \mid \) Ag
C. \( P t, H_{2}(g) \mid \) HCI \( (\text { sol }) \| \) AgCI \( (s) \mid A g \)
D. \( \mathrm{H}_{2}(\mathrm{g}) \) | HCI(sol) \( \| \) AgCI(s) \( \mid \) Ag
| 1 |
Chemistry
|
Greatest extent of adaptation to various
environments is found in
A. Gymnosperms.
B. Bryophytes.
c. Ferns
D. Angiosperms
| 0 |
Biology
|
Gene is composed of which of the following?
A. Amino acids
B. Polynucleotide
c. Fatty acid
D. Nitrogen bases
| 0 |
Biology
|
For which of the following dependence of
drift velocity \( v_{d} \) on electric field \( \mathrm{E} \), is
Ohm's law obeyed?
A \( \cdot v_{d} \propto E^{2} \)
B. \( v_{d}=E^{1 / 2} \)
\( \mathbf{c} \cdot v_{d}= \) constant
D. \( v_{d} \propto E \)
| 3 |
Physics
|
If \( z_{1}, z_{2} \) are roots of equation \( z^{2}-a z+ \)
\( a^{2}=0, \) then \( \left|\frac{z_{1}}{z_{2}}\right|= \)
| 2 |
Maths
|
If \( ^{n-1} C_{r}=\left(K^{2}-3\right)^{n} C_{r+1^{\prime}}, \) then \( k \)
belongs to
\( \mathbf{A} \cdot[-\sqrt{3}, \sqrt{3}] \)
В \( \cdot(-\infty,-2) \)
\( \mathbf{c} \cdot(2, \infty) \)
D. \( [-2,-\sqrt{3}] \cup[\sqrt{3}, 2] \)
| 2 |
Maths
|
A road roller is cylindrical in shape . Its circular end has a diameter \( 200 \mathrm{cm} \) and
its width it \( 1.4 \mathrm{m} \). Find the least number
of revolutions that the roller must make
in order to level a playground of
dimensions \( 125 m \times 20 m \)
| 2 |
Maths
|
Let \( \boldsymbol{f}: \boldsymbol{R} \rightarrow \boldsymbol{R} \) be defined as \( \boldsymbol{f}(\boldsymbol{x})= \)
\( \left\{\begin{array}{ll}0, & x \text { is Irrational } \\ \sin |x|, & x \text { is Rational }\end{array} . \) Then, which of \right.
the following is true?
A. \( f \) is discontinuous for all \( x \)
B. \( f \) is continuous for all \( x \)
c. \( f \) is discontinuous at \( x=k \pi \), where \( k \) is an interger
D. \( f \) is continuous at \( x=k \pi, \) where \( k \) is an integer
| 2 |
Maths
|
The coefficient of \( x^{4} \) in the expansion of
\( \left(\frac{x}{2}-\frac{3}{x^{2}}\right)^{10} \) is equal to:
| 2 |
Maths
|
A string of length \( 2 \mathrm{L} \), obeying Hooke's Law, is stretched so that its extension is
L. The speed of the transverse was traveling on the string is v. If the string is further stretched so that the extension in the string becomes 4L. The speed transverse wave traveling on the string will be.
A \( \cdot \sqrt{2} v \)
B.
c. \( 2 \sqrt{2} v \)
D. \( 2 v \)
| 3 |
Physics
|
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