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In the touch-me-not plant the leaves
show movements. What type of movement have you observed? Discuss.
| 0 |
Biology
|
Define:
a) Mitosis and
b) Meiosis
| 0 |
Biology
|
Salvarsan is the medicine used for
which disease?
A. Maleria
B. Syphilis
c. Acidity
D. all of these
| 1 |
Chemistry
|
If \( x=y \sqrt{1-y^{2}}, \) then \( \frac{d y}{d x} \) equals to?
| 2 |
Maths
|
Identify the electronic components from
the following symbols.
Write any one difference between them.
\( \mathbf{a} \)
| 3 |
Physics
|
What is the primary characteristic on
which the broad division of animal is
made?
| 0 |
Biology
|
Assertion
To protect iron from rusting it is coated
with a thin layer of zinc.
Reason
The zinc forms a barrier against
corrosion in that the steel underneath
does not come into contact with water
moisture in the air
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 given object taken \( n \) times more time
to slide down a \( 45^{\circ} \) rough inclined plane
as it takes to slide down a perfectly
smooth \( 45^{\circ} \) incline. The coefficient of
kinetic friction between the object and the incline is :
A \( \cdot \sqrt{1-\frac{1}{n^{2}}} \)
в. \( _{1-\frac{1}{n^{2}}} \)
c. \( \frac{1}{2-n^{2}} \)
D. \( \sqrt{\frac{1}{1-n^{2}}} \)
| 3 |
Physics
|
The production of ATP through chemiosmosis is known to occur in
which of the following organisms?
A. All cells (prokaryotic and eukaryotic) are capable of respiration using either oxygen or other electron acceptors.
B. All cells (prokaryotic and eukaryotic), but only in the presence of oxygen.
C. Eukaryotic cells only, and only when oxygen is present.
D. All cells that possess mitochondria, and only when oxygen or other electron acceptors are present.
| 0 |
Biology
|
The time(s) taken by a group of students to walk across their college is
given in the table below. Find the average time using direct method.
A. 12.02 sec
B. 39.12 sec
c. 40.20 sec
D. 31.90 sec
| 2 |
Maths
|
dentify correct reactivity order for \( \boldsymbol{S}_{N} \mathbf{2} \)
reaction.
(ii)
A . i > iì ii i
B. ii > jii >
D. None of these
| 1 |
Chemistry
|
A wave is represented by the equation \( \boldsymbol{y}=\boldsymbol{A} \sin \left(\mathbf{1 0} \boldsymbol{\pi} \boldsymbol{x}+\mathbf{1 5} \boldsymbol{\pi} \boldsymbol{t}+\frac{\boldsymbol{\pi}}{\mathbf{3}}\right), \) where \( \boldsymbol{x} \)
is in meters and \( t \) is in seconds. The
expression represents This question has multiple correct options
A. a wave travelling in the positive x-direction with a velocity \( 1.5 \mathrm{m} / \mathrm{s} \)
B. a wave travelling in the negative x-direction with a velocity \( 1.5 \mathrm{m} / \mathrm{s} \)
c. a wave travelling in the negative x-direction with a wavelength \( 0.2 m \)
D. a wave travelling in the positive x-direction with a wavelength \( 0.2 m \)
| 3 |
Physics
|
The range of the function \( f(x)= \)
\( \sin ^{-1}\left(x^{2}-2 x+2\right) \)
\( A \cdot \phi \)
B. \( \left[-\frac{\pi}{2}, \frac{\pi}{2}\right] \)
c. \( \frac{\pi}{2} \)
D. none of these
| 2 |
Maths
|
A highly ionic compound is formed by the combination of elements belonging
to:
A. I A group and VII A group
B. II A group and VI A group
c. III A group and V A group
D. o group and VII A group
| 1 |
Chemistry
|
The position vector of a particle is determined by the expression \( \vec{r}= \) \( 3 t^{2} \hat{i}+4 t^{2} \hat{j}+7 \hat{k}, \) The distance
traversed in first 10 sec is
\( \mathbf{A} \cdot 500 m \)
B. \( 300 m \)
\( c \cdot 150 m \)
D. \( 100 m \)
| 3 |
Physics
|
State whether given statement is True or False.
An object thrown upwards has a constant acceleration but zero velocity at the maximum height.
A. True
B. False
| 3 |
Physics
|
The correct order for decreasing atomic radius of the five atoms \( \boldsymbol{H}, \boldsymbol{B r}, \boldsymbol{I}, \boldsymbol{H} \boldsymbol{e} \)
and \( S \) is :
A \( . I>B r>S>H e>H \)
В. \( I>S>B r>H>H e \)
c. \( I>S>B r>H e>H \)
D. \( B r>I>S>H e>H \)
| 1 |
Chemistry
|
Unit matrix is a diagonal matrix in which all the diagonal elements are unity. Unit matrix of order 'n' is denoted
by \( I_{n}(\text { or } I) \) i.e. \( A=\left[a_{i j}\right]_{n} \) is a unit
matrix when \( \boldsymbol{a}_{\boldsymbol{i} j}=\mathbf{0} \) for \( \boldsymbol{i} \neq \)
\( \boldsymbol{j} \boldsymbol{a} \boldsymbol{n} \boldsymbol{d} \boldsymbol{a}_{i j}=\mathbf{1} \)
A . True
B. False
| 2 |
Maths
|
If \( \boldsymbol{x}<\mathbf{0}, \) then \( \tan ^{-1} \boldsymbol{x} \) is equal to
This question has multiple correct options
A \( \cdot-\pi+\cot ^{-1} \frac{1}{x} \)
B. \( \sin ^{-1} \frac{x}{\sqrt{1+x^{2}}} \)
c. \( -\cos ^{-1} \frac{1}{\sqrt{1+x^{2}}} \)
D. \( -\operatorname{cosec}^{-1} \frac{\sqrt{1+x^{2}}}{x} \)
| 2 |
Maths
|
Assertion
The magnetic field produced by a
current carrying solenoid Is
independent of its length and cross-
sectional area.
Reason
The magnetic field inside the solenoid
is uniform.
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
| 3 |
Physics
|
Which of the following statements is
true?
A. A convex lens has 4 dioptre power having a focal length \( 0.25 \mathrm{m} \)
B. A convex lens has 4 dioptre power having a focal length \( 0.125 \mathrm{m} \)
C. A concave lens has 4 dioptre power having a focal length \( 0.25 \mathrm{m} \)
D. A concave lens has 4 dioptre power having a focal length \( 0.125 \mathrm{m} \)
| 3 |
Physics
|
An \( \ldots \) employed in an electric bell.
A. steel
B. electromagnet
c. permanent
D. right angles
| 3 |
Physics
|
Consider the reaction at \( 300 K \)
\( \boldsymbol{H}_{2}(\boldsymbol{g})+\boldsymbol{C l}_{2}(\boldsymbol{g}) \rightarrow 2 \boldsymbol{H} \boldsymbol{C l}(\boldsymbol{g}) \)
\( \Delta H^{o}=-185 k J / m o l \)
If 3 mole of \( H_{2} \) completely react with 3
mole of \( C l_{2} \) to form \( H C l . \) What is \( \Delta U^{\circ} \)
for this process?
A. \( 0 k J \)
\( J \)
в. \( 185 k J \)
c. \( 555 k J \)
D. \( -553.8 k J \)
| 1 |
Chemistry
|
A slab of glass, of thickness \( 6 \mathrm{cm} \) and
refractive index \( \mu=1.5 \) is placed in
front of a concave mirror as shown in
the figure. If the radius of curvature of
the mirror is \( 40 \mathrm{cm} \) and the reflected
image coincides with the object, then
the distance of the object from the
mirror is :
\( A .30 \mathrm{cm} \)
B. 22 \( \mathrm{cm} \)
c. \( 42 \mathrm{cm} \)
D. 38 cm
| 3 |
Physics
|
With respect to Eichorrnia:
Statement \( X: \) It drains off oxygen from
water and is seen growing in standing
water.
Statement Y : It is an indigenous species of our country.
A. Both statements \( x \) and \( Y \) are correct
B. Both statements X and Y are wrong
c. only statement \( x \) is correct and \( Y \) is wrong
D. only statement Y is correct and X is wrong
| 0 |
Biology
|
Under the influence of air and light, chloroform decomposes into:
A. \( C C l_{4} \)
в. \( \left(C H_{3}\right)_{2}^{O H} C-C C l_{3} \)
c. \( \operatorname{cocl}_{2} \)
D. \( C C l_{3} C H O \)
| 1 |
Chemistry
|
Find the values of the unknown \( x \) and \( y \)
in the following diagram.
| 2 |
Maths
|
find \( 1+\frac{1}{1+2}+\frac{1}{1+2+3}+ \)
to n terms.
| 2 |
Maths
|
Which of the following represents the IUPAC names of the compounds 0 dinitrobenzene, m-dinitrobenzene, and
p-dinitrobenzene respectively.
A. 1,2 -dinitrobenzene, 1,3 -dinitrobenzene and \( 1,4- \) dinitrobenzene
B. 1,2-dinitrobenzene, 1,4-dinitrobenzene and 1,3dinitrobenzene
c. 1.3 -dinitrobenzene, 1,2 -dinitrobenzene, and \( 1,4- \) dinitrobenzene
D. 1.3-dinitrobenzene, 1,4-dinitrobenzene and 1,2dinitrobenzene
| 1 |
Chemistry
|
Find the induced emf. Will the induced
emf be time dependent?
| 3 |
Physics
|
When light ray bends away from normal then which angle is larger?
A. Angle of incidence
B. Angle of Refraction
c. Angle of deviation
D. Angle of normal
| 3 |
Physics
|
Charge \( +q \) placed at point \( A \) is a distance \( 2 L \) apart from \( B \) and \( C \) is the
midpoint between A and B. The work
done in moving charge \( +\mathrm{Q} \) along the
semicircle CRD is
\( \mathbf{A} \cdot \frac{\mathrm{q} Q}{2 \pi \varepsilon_{\mathrm{U}}} \)
B. \( \frac{9 Q}{6 \pi \varepsilon_{0}} \)
\( \mathbf{c} \cdot-\frac{q Q}{6 \pi \varepsilon L} \)
D. \( \frac{q Q}{4 \frac{q Q}{4 \varepsilon_{0} L}} \)
| 3 |
Physics
|
The pH of the solution at 25 which has twice as many hydroxide ion as in pure
water at \( 25, \) will be:
A \( \cdot 14 \)
в. 9
c. 6.699
D. 7.301
| 1 |
Chemistry
|
Is the given sequence 2,4,8,16 form an
A.P. If it forms an AP, find the common
difference \( d \)
| 2 |
Maths
|
In an endothermic process, solubility increases with
temperature.
\( A \). increase
B. decrease
c. no change in temperature
D. none of the above
| 1 |
Chemistry
|
For construction of a quadrilateral \( A B C D, \) where \( A B=4.2 \mathrm{cm}, B C=3.8 \)
\( \mathrm{cm}, C D=4.9 \mathrm{cm}, A D=5.4 \mathrm{cm} \) and
\( \angle B=72, \) its steps for construction is given injumbled form. Identify the third step from the following
1) From \( B \), set off \( B C=3.8 \mathrm{cm} \)
2) Draw \( A B=4.2 \mathrm{cm} \) and : Make
\( \angle A B X=72 \)
3) With \( A \) as center and radius equal to
\( 5.4 \mathrm{cm} \) draw an arc.
4) With \( C \) as center and radius equal to
\( 4.9 \mathrm{cm}, \) draw another arc, cutting the previous arc at \( D \). Join \( A D \) and \( C D \)
A. 3
в.
\( c \)
D.
| 2 |
Maths
|
What do you understand by the 'order of a reaction'? Identify the reaction order from each of the following units of reaction
rate constant:
(i) \( L^{-1} \) mol \( s^{-1} \)
(ii) \( L m o l^{-1} s^{-1} \)
| 1 |
Chemistry
|
The type of muscle fibre present in the wall of alimentary canal is
A. smooth muscle fibre
B. striped muscle fibre
c. cardiac muscle fibre
D. both (a) and (b)
| 0 |
Biology
|
Assertion
In case of oscillatory motion the average speed for any time interval is always greater than or equal to its average velocity
Reason
Distance travelled by a particle cannot be less than its displacement.
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
| 3 |
Physics
|
A nail has \( 2 c m^{2} \) at one end and \( \frac{1}{100} c m^{2} \) at the other end. A force of 1000 gwt is applied on the first end. Calculate the
pressure acting on the wall?
A \( \cdot 78 \times 10^{6} \) dunecm\( ^{-2} \)
B. \( 88 \times 10^{6} \) dynecm\( ^{-2} \)
c. \( 98 \times 10^{6} \) dynecm \( ^{-2} \)
D. \( 95 \times 10^{6} \) dynecm \( ^{-2} \)
| 3 |
Physics
|
The value of \( \frac{(\boldsymbol{n}+\mathbf{2}) !-(\boldsymbol{n}+\mathbf{1}) !}{\boldsymbol{n} !} \) is:
A \( \cdot(n+2) ! \)
в. \( (n+1) ! \)
c. \( (n+2)^{2} \)
D. \( (n+1)^{2} \)
\( E \)
| 2 |
Maths
|
on or of of
| 1 |
Chemistry
|
\( \ln 2 s p^{2} \) orbital, character of \( 2 p_{z} \) orbital
will be
A. always \( 33.33 \% \)
B. always \( 0 \% \)
c. always \( 66.66 \% \)
D. always \( 33.33 \% \) or \( 0 \% \)
| 1 |
Chemistry
|
ATP ase activity occur in
A. Head of \( F_{1} \) particle.
B. Stalk of \( F_{1} \) particle.
C. Base of F particle.
D. All of the above.
| 0 |
Biology
|
Express the following as improper fractions:
\( \mathbf{7} \frac{\mathbf{3}}{\mathbf{4}} \)
\( \mathbf{5} \frac{\mathbf{6}}{\mathbf{7}} \)
\( 2 \frac{5}{6} \)
\( 10 \frac{3}{5} \)
| 2 |
Maths
|
The order of electronegativity of carbon
in \( s p, s p^{2} \) and \( s p^{3} \) hybridized states follows:
\( \mathbf{A} \cdot s p>s p^{2}>s p^{3} \)
B \( \cdot s p^{3}>s p^{2}>s p \)
\( \mathbf{c} \cdot s p>s p^{3}>s p^{2} \)
D \( \cdot s p^{2}>s p>s p^{3} \)
| 1 |
Chemistry
|
According to the adsorption theory of catalysis,the speed of the reaction increase because:
A. The concentration of reactant molecules at the active centers of the catalyst becomes high due to adsorption
B. In the process of adsorption, the activation energy of the molecules becomes large
c. Adsorption produces heat which increases the speed of the reaction
D. Adsorption lowers the activation energy of the reaction.
| 1 |
Chemistry
|
Dryopithecus is considered to be
A. Ancestral form of ape
B. Ancestral form of monkeys
C. Connecting links between ape and man
D. Common ancestor of ape and man
| 0 |
Biology
|
If \( \boldsymbol{a}_{\mathbf{1}} \in \boldsymbol{R}-\{\mathbf{0}\}, \boldsymbol{i}=\mathbf{1}, \mathbf{2}, \mathbf{3}, \boldsymbol{4} \) and \( \boldsymbol{x} \in \boldsymbol{R} \)
and \( \left(\sum_{i=1}^{3} a_{i}^{2}\right) x^{2}- \)
\( \mathbf{2} \boldsymbol{x}\left(\sum_{i=1}^{3} \boldsymbol{a}_{i} \boldsymbol{a}_{i+1}\right)+\sum_{i=2}^{4} \boldsymbol{a}_{i}^{2} \leq \mathbf{0}, \) then
\( a_{1}, a_{2}, a_{3}, a_{4} \) are in
A . A.
в. G.
c. н.
D. A.G.
| 2 |
Maths
|
In stationary waves, nodes are the
points where there is:
A. maximum displacement and minimum pressure change
B. minimum displacement and maximum pressure change
C. minimum displacement and minimum pressure change
D. maximum displacement and maximum pressure change
| 3 |
Physics
|
Aldol condensation will not take place in:
A. \( H C H O \)
в. \( C H_{3} C H_{2} C H O \)
\( \mathbf{c} \cdot C H_{3} C H O \)
D. \( C H_{3} \) COCH\( _{3} \)
| 1 |
Chemistry
|
The momentum of a system is
conserved
A. always
B. never
\( \mathrm{C} \). in the absence of external forces in the system
D. in presence of external forces in the system
| 3 |
Physics
|
What is famous for the constructive
and functional unit?
A. Ecosystem
B. Food chain
c. Food web
D. None of these
| 0 |
Biology
|
Which one of the following pairs do not impart colour to the flame?
A. \( B e C l_{2} \) and \( S r C l_{2} \)
в. \( B e C l_{2} \) and \( M g C l_{2} \)
c. \( C a C l_{2} \) and \( B a C l_{2} \)
D. \( B a C l_{2} \) and \( S r C l_{2} \)
| 1 |
Chemistry
|
Find whether the following functions are
one-one, onto or not:
\( \boldsymbol{f}: \boldsymbol{R} \rightarrow \boldsymbol{R} \) defined by \( \boldsymbol{f}(\boldsymbol{x})=\boldsymbol{x}^{2}+\boldsymbol{3} \) for
all \( \boldsymbol{x} \epsilon \boldsymbol{R} \)
| 2 |
Maths
|
Find the distance between the following pair of points:
(-6,7) and (-1,-5)
| 2 |
Maths
|
Write the domain of the function
\( \boldsymbol{f}(\boldsymbol{x})=\log _{4}(1+\boldsymbol{x}) \)
\( A \cdot(-1, \infty) \)
B. \( (1, \infty) \)
c. \( (2, \infty) \)
D. None of these
| 2 |
Maths
|
Name the device used for measuring the pressure exerted by liquids. Also, state its working principle.
| 3 |
Physics
|
Assume that the chances of a patient having a heart attack is \( 40 \% \). It is also assumed that a meditation and yoga
course reduce the risk of heart attack by \( 30 \% \) and prescription of certain drug reduces its chances by \( 25 \% \). At a time a
patient can choose any one of the two options with equal probabilities. It is given that after going through one of the two options the patient selected at random suffers a heart attack. Find the
probability that the patient followed a course of meditation and yoga?
| 2 |
Maths
|
\( p- \) orbitals of an atom in presence of magnetic field are:
A. three fold degenerate
B. two fold degenerate
c. non-degenerate
D. none of these
| 1 |
Chemistry
|
Find the slopes of the tangent and the normal to the following curves at the
indicated points.
\( \boldsymbol{x}^{2}+\mathbf{3} \boldsymbol{y}+\boldsymbol{y}^{2}=\mathbf{5} \) at \( (\mathbf{1}, \mathbf{1}) \)
| 2 |
Maths
|
Which one of the following is not a photosynthetic diazotroph.
A. Nostoc
B. Frankia
c. Anabaena
D. Rhodospirillum
| 0 |
Biology
|
Identify the rate of decarboxylation of isomeric pyridine acetic acids by the similar mechanism.
\( A \cdot 1>2>3 \)
B. \( 1>3>2 \)
c. \( 3>2>1 \)
D. \( 2>1>3 \)
| 1 |
Chemistry
|
The figure above shows the eye
suffering from:
A. hypermetropia
B. myopia
C . astigmatism
D. far-sightedness
| 3 |
Physics
|
Assertion
Alkali metals dissolves in liquid ammonia to give blue solution
Reason
Alkali metals in liquid ammonia give solvated species of the type \( \left[\mathbf{M}\left(\mathbf{N} \mathbf{H}_{3}\right)_{\mathbf{n}}\right]^{+}(\mathbf{M}= \) alkali metals)
A. Both Assertion and Reason are correct and the Reason is the correct explanation of the Assertion
B. Both Assertion and Reason are correct but the Reason is not the correct explanation of the Assertion
c. The Assertion is correct but the Reason is incorrect
D. The Assertion is incorrect but the Reason is correct
| 1 |
Chemistry
|
Find the possible value of \( \cos x, \) if \( \cot x \)
\( +\operatorname{cosec} x=5 \)
| 2 |
Maths
|
Describe the manufacture of \( \boldsymbol{H}_{2} \boldsymbol{S} \boldsymbol{O}_{4} \) by
contact process?
| 1 |
Chemistry
|
particle moves uniform in a circle of
radius \( 10 \mathrm{cm}, \) converting a linear distance of \( \mathrm{cm} \) in a time 2.5 sec. Find
the time taken for 10 revolutions,
A \( .0 .2 s e c \)
B. 18.34 sec
c. 79.12 sec
D. 50 sec
| 3 |
Physics
|
Which of the following product is formed by the reaction of sulphur dioxide with chlorine in presence of
sunlight?
\( A \cdot S O_{2} C l \)
в. \( S O_{2} C l_{2} \)
c. \( \operatorname{socl}_{2} \)
D. \( S O_{3} C l \)
| 1 |
Chemistry
|
A body can throw a stone up a
maximum height of \( 10 \mathrm{cm} \) The maximum horizontal distance that the
boy can throw the same stone up to will
be:-
A . 40
B. \( 20 \sqrt{2} m \)
c. 10
D. \( 10 \sqrt{2} \mathrm{m} \)
| 3 |
Physics
|
The elements \( ^{30} \boldsymbol{S} \boldsymbol{i}_{14},^{31} \boldsymbol{P}_{15} \) and \( ^{32} \boldsymbol{S}_{16} \) are
called :
\( A \). isotones
B. isobars
c. isotopes
D. mirror nuclei
| 1 |
Chemistry
|
Find the curve which passes through the point (2,0) such that segment of
the tangent between the point of tangency \( \& \) the \( y \) - axis has a constant length equal to 2
| 2 |
Maths
|
Among mammals, the efficiency of ventilation of lungs as compared to reptiles and birds is better developed by the presence of
A. Ribs and costal muscles
B. Only ribs
c. only costal muscles
D. Diaphragm
| 0 |
Biology
|
A lens is made of flint glass (refractive index \( =1.5 \) ). When the lens is immersed in a liquid of refractive index 1.25, the focal length:
A. Increases to a factor of 1.25
B. Increases to a factor of 2.5
c. Increases to a factor of 1.2
D. Decreases to a factor of 1.2
| 3 |
Physics
|
Assertion
Chlorine reacts with freshly prepared calcium hydroxide to produce bleaching powder.
Reason
Chlorine has a great affinity for
hydrogen.
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
|
Find the total surface of cuboid whose
length is \( 8 c m \) breadth is \( 6 \mathrm{cm} \) and
height is \( 5 c m \)
| 2 |
Maths
|
If the product of two numbers is 21 and their difference is \( 4, \) then the ratio of the sum of their cubes to the difference of
their cubes is
\( \mathbf{A} \cdot 185: 165 \)
B . 165: 158
c. 185: 158
D. 158: 145
| 2 |
Maths
|
Maria invested \( R s 8,000 \) in a business. She would be paid interest at \( 5 \% \) per
annum compounded annually. Find
(i) The amount credited against her
name at the end of the second year.
(ii) The interest for the 3 rd year
| 2 |
Maths
|
A wave of angular frequency \( \omega \) propagates so that a certain phase of oscillation moves along x-axis, y-axis
and z-axis with speeds \( c_{1}, c_{2} \) and \( c_{3} \)
respectively. The propagation constant \( \boldsymbol{k} \) is
A \( \cdot \frac{\omega}{\sqrt{c_{1}^{2}+c_{2}^{2}+c_{3}^{2}}}(\hat{i}+\hat{j}+\hat{k}) \)
B. \( \frac{\omega_{\hat{i}}}{c_{1}}+\frac{\omega_{\hat{\jmath}}}{c_{2}}+\frac{\omega}{c_{3}} \hat{k} \)
c. \( (\omega \hat{i}+\omega \hat{j}+\omega \hat{k}) \frac{1}{c} \)
D. \( \frac{\omega}{\left(c_{1}+c_{2}+c_{3}\right)}(\hat{i}+\hat{j}+\hat{k}) \)
| 3 |
Physics
|
Find the correct statement pertaining to the functions \( f(x)=(x-3)^{2}+2 \) and
\( g(x)=\frac{1}{2} x+1 \) graphed above
A \( \cdot f(x)=g(x) \) for exactly 2 values of \( x \)
B . \( f(x)=g(x) \) for exactly 1 values of \( x \)
c. \( f(x) \) is the inverse of \( g(x) \)
\( \mathbf{D} \cdot f(x)>g(x) \) for all \( x \)
| 2 |
Maths
|
The solution of \( \frac{d y}{d x}=\frac{\sqrt{x^{2}-y^{2}}+y}{x} \) is:
\( \mathbf{A} \cdot \tan ^{-1}\left(\frac{y}{x}\right)=\log (c x) \)
B・sin \( ^{-1}\left(\frac{y}{x}\right)=\log (c x) \)
c. \( \cos ^{-1}\left(\frac{y}{x}\right)=\log (c y) \)
D \( \cdot \sec ^{-1}\left(\frac{y}{x}\right)=\log (c y) \)
| 2 |
Maths
|
SBR (GRS, Buna-S, Cold Rubber) is
obtained by free radical copolymerisation of :
A. \( 70 \% \) Buta -1,3 - diene and \( 30 \% \) phenly ethene (styrene)
B. chloroprene and styrene
c. vinly-acetylene and styrene
D. isoprene and 1,3 - butadiene
| 1 |
Chemistry
|
The volume of anatomical dead space
air is normally
A. 230 \( \mathrm{ml} \)
B. 210 m1
c. \( 190 \mathrm{ml} \)
D. 150 \( \mathrm{m} \)
| 0 |
Biology
|
Find the equivalent capacitance across A and B for the arrangement shown in figure. All the capacitors are of
capacitance \( \mathbf{C}: \)
A \( \cdot \frac{3 C}{14} \)
в. \( \frac{C}{8} \)
c. \( \frac{3 C}{16} \)
D. none of these
| 3 |
Physics
|
Which of the following is not the source of hydrocarbon as a pollutant?
A. Man-made sources
B. Sources of methane
c. Fly ash
D. oxide of sulphur
| 1 |
Chemistry
|
Which one of the following does not match in biological category of chemical substance?
A. Gastrin
B. Thyroxine
c. oxytocin
D. Creatinine
| 0 |
Biology
|
A pith ball of mass \( 9 \times 10^{-5} k g \) carries a
charge of \( 5 \mu C \). What must be charge on
another pith ball placed directly \( 2 \mathrm{cm} \) above the pith ball such that they are held in equilibrium?
A . \( 3.2 \times 10^{-11} C \)
B . \( 7.84 \times 10^{-12} C \)
c. \( 1.2 \times 10^{-13} C \)
D. \( 1.6 \times 10^{-19} C \)
| 3 |
Physics
|
Convert the given decimal function to
percents.
\( \mathbf{0 . 0 2} \)
| 2 |
Maths
|
Which of the following are the source for hydrocarbons as pollutants?
A. Anaerobic bacterial decomposition of organic matter
B. Forest fires and trees
c. combustion of Fuels
D. All of the above
| 1 |
Chemistry
|
In plants, micronutrients are those
which are needed less than or equal to the following amount per gram of dry matter is
A . \( 0.1 \mathrm{mg} \)
B. \( 0.1 \mathrm{g} \)
c. \( 0.1 \mu \mathrm{g} \)
D. \( 1 \mu g \)
| 0 |
Biology
|
\( \mathbf{f} \boldsymbol{y}=\cot ^{-1} \sqrt{\frac{1-\sin x}{1+\sin x}}, \) find \( \frac{d x}{d y} \)
| 2 |
Maths
|
Which plastic is called a fire proof
plastic?
A. Melamine
B. Bakelite
c. Teflon
D. Acrylic
| 1 |
Chemistry
|
Choose the correct answer from the
alternatives given:
Directions for questions 71 to 75: The
graph shows the production of wheat in different years of a particular State
The year in which the production
reached maximum is
\( \mathbf{A} \cdot 1995 \)
B. 1997
\( \mathbf{c} .1999 \)
D. 2000
| 2 |
Maths
|
What is the potential difference across
a 64.0 microfarad capacitor if the
charge on the positive plate is +16.0 microcoulombs?
A. \( 4.0 V \)
B. \( 0.25 V \)
\( c .1024 V \)
D. \( 2.0 V \)
E . \( 32.0 V \)
| 3 |
Physics
|
If two bodies \( A \) and \( B \) (A bigger in size than \( \mathrm{B} \) ) are rubbed together, then :
A. A and B get equal and opposite charges
B. A and B get equal and similar charges
c. A gets more charge than B, but of opposite kind
D. A gets less charge than B, but of same kind
| 3 |
Physics
|
10g fairly concentrated solution of
\( \boldsymbol{C u} \boldsymbol{S O}_{4} \) is electrolysed using \( \mathbf{0 . 0 1} \)
faraday of electricity. The mass of resulting solution is :
A. \( 9.6025 \mathrm{g} \)
B. \( 10.6005 \mathrm{g} \)
c. \( 6.6025 \mathrm{g} \)
D. None of these
| 1 |
Chemistry
|
Integrate \( \frac{x^{2}+5 x+5}{x^{2}+3 x+2} \) with respect to \( x \)
| 2 |
Maths
|
A rectangular paper of length \( 45 \mathrm{cm} \) and
breadth \( 5 \mathrm{cm} \) is cut to form a square with the same area. What is the side of
the square?
| 2 |
Maths
|
The atomic theory of matter was
proposed by :
A. John Kennedy
B. Lavoisier
c. Proust
D. John Dalton
| 1 |
Chemistry
|
Prove that the points \( (0,0),\left(3, \frac{\pi}{2}\right), \) and \( \left(3, \frac{\pi}{6}\right) \) form an equilateral triangle.
| 2 |
Maths
|
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