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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
\( \boldsymbol{y}= \)
\( (0.01 c m) \sin \left[\left(\frac{\pi x}{10} m\right)-50 \pi t(s e c)\right] \)
Sketch the shape of the string at \( t= \) \( \frac{1}{50} s e c \)
| 3 |
Physics
|
Gold does not occur in the combined
form. It does not react with air or water.
It is in the \( _{\text {一一一十日 }} \)
A. native
B. combined
c. original
D. liquid
| 1 |
Chemistry
|
Check whether the following are Quadratic equations
\( (x+2)^{3}=2 x\left(x^{2}-1\right) \)
| 2 |
Maths
|
Study the given figure carefully.
Which of the following reactions explains the above change most appropriately?
A. \( Z n S O_{4}+C u \rightarrow C u S O_{4}+Z n \)
в. \( C u S O_{4}+F e \rightarrow F e S O_{4}+C u \)
c. FeSO\( _{4}+C u \rightarrow \) CuSO\( _{4}+ \) Fe
D. \( C u S O_{4}+Z n \rightarrow Z n S O_{4}+C u \)
| 1 |
Chemistry
|
The equiconvex lens has a focal length
'f. If the lens is cut along the line perpendicular to principal axis and passing through the pole, what will be the focal length of any half part?
A \( \cdot \frac{f}{2} \)
B . \( 2 f \)
\( c \cdot \frac{3 f}{2} \)
D. \( f \)
| 3 |
Physics
|
Consider the following half-cell
reactions and associated standard half-
cell potentials and determine the
maximum voltage that can be obtained by combination resulting in
spontaneous processes:
\( \boldsymbol{A u} \boldsymbol{B r}_{4}^{-}(\boldsymbol{a q})+\boldsymbol{3} \boldsymbol{e}^{-} \rightarrow \boldsymbol{A u}(\boldsymbol{s})+ \)
\( 4 B r^{-}(a q) ; E^{\circ}=-0.86 V \)
\( \boldsymbol{E} \boldsymbol{u}^{3+}(\boldsymbol{a} \boldsymbol{q})+\boldsymbol{e}^{-} \rightarrow \boldsymbol{E} \boldsymbol{u}^{2+}(\boldsymbol{a} \boldsymbol{q}) ; \boldsymbol{E}^{\circ}= \)
\( -0.43 V \)
\( \boldsymbol{S} \boldsymbol{n}^{2+}(\boldsymbol{a} \boldsymbol{q})+\boldsymbol{2} \boldsymbol{e}^{-} \rightarrow \boldsymbol{S} \boldsymbol{n}(\boldsymbol{s}) ; \boldsymbol{E}^{\circ}= \)
\( -0.14 V \)
\( \boldsymbol{I O}^{-}(\boldsymbol{a} \boldsymbol{q})+\boldsymbol{H}_{2} \boldsymbol{O}(l)+\boldsymbol{2} \boldsymbol{e}^{-} \rightarrow \)
\( \boldsymbol{I}^{-}(\boldsymbol{a} \boldsymbol{q})+\boldsymbol{2} \boldsymbol{O} \boldsymbol{H}^{-}(\boldsymbol{a} \boldsymbol{q}) ; \boldsymbol{E}^{\circ}=+\mathbf{0 . 4 9} \boldsymbol{V} \)
\( \mathbf{A} \cdot+0.72 \)
B. +1.54
c. +1.00
D. +1.35
| 1 |
Chemistry
|
The unit of electron affinity is:
A. kcal/mole
B. erg-sec
\( c \cdot A^{c} \)
D. no unit
| 1 |
Chemistry
|
Cell in \( G_{0} \) phase of cell cycle
A. Exit cell cycle
B. Enter cell cycle
c. suspend cell cycle
D. Terminate cell cycle
| 0 |
Biology
|
Four cows are tethered at four corners of
a square plot of side \( 50 \mathrm{m} \) as shown in
figure. What area will be left ungrazed?
| 2 |
Maths
|
In the given figure, \( \boldsymbol{A B} \perp \boldsymbol{B C}, \boldsymbol{F G} \perp \)
\( B C \) and \( D E \perp A C . \) Prove that \( \triangle A D E \)
\( \sim \triangle G C F \)
| 2 |
Maths
|
A school has five houses \( A, B, C, D \) and \( E \)
A class has 23 students, 4 from house
A, 8. from house B, 5 from house C, 2
from house 0 and rest from house \( \mathrm{E} \)
A single student is selected at random ,to be the class monitor. The probability that the selected student is not from \( A \),
Band C is?
\( \mathbf{A} \cdot \frac{4}{23} \)
B. \( \frac{6}{23} \)
\( c \cdot \frac{8}{23} \)
D. \( \frac{17}{23} \)
| 2 |
Maths
|
n \( N i(C O)_{4}, \) the oxidation state of Ni is:
\( A \cdot 4 \)
B.
\( c \cdot 2 \)
D. 8
| 1 |
Chemistry
|
The order in which the following oxides are arranged to decreasing basic
nature is \( C u O, N a_{2} O, M g O, A l_{2} O_{3} \)
| 1 |
Chemistry
|
Which of the states Snell's law?
A. Incident ray, refracted ray and the normal at the point of incidence all lies in the same plane
B. \( \frac{\sin i}{\sin r}= \) constant (for a given media)
C. Angle of incidence \( = \) Angle of refraction
D. All
| 3 |
Physics
|
If an equilateral triangle, having centroid at the origin, has a side along
the line, \( x+y=2 \), then the area (in
sq.units) of this triangle is:
\( \mathbf{A} \cdot \mathbf{6} \)
B. \( 6 \sqrt{3} \)
c. \( \frac{9}{2} \sqrt{3} \)
D. \( 3 \sqrt{6} \)
| 2 |
Maths
|
I. Ethanol
II. Acetic acid
III. Phenol
IV. Acetonitrile
The acidity of compounds I-IV in water follows the order:
A. \( I V<I<I I I<I I \)
в. \( I<I I<I I I<I V \)
c. \( I V<I<I I<I I I \)
D. \( I V<I I I<I<I I \)
| 1 |
Chemistry
|
Observe the relationship between the
first two words and then fill in the fourth
place
(a) Angiosperms: roots :: Rhodophyta
(b) Fern: prothallus :: moss:
(c) Moss : capsule :: fern:
(d) Angiosperms: flowers :: conifers
| 0 |
Biology
|
What are isotonic solutions? Give an
example.
| 1 |
Chemistry
|
A positive charge \( Q \) is uniformly distributed along a circular ring of radius R. A small test charge q is placed
at the center of the ring figure. Then which statement is incorrect:
A. If \( q>0 \) and is displaced away from the centre in the plane of the ring,it will be pushed back towards the centr
B. if \( q<0 \) and is displaced away from the centre in the plane of the ring,it will never return towards the centre and will continue moving till it hits the ring
C. ifif q>0, it will perform SHM for small displacement along the axis
D. \( q \) at the centre of the ring is in an unstable equilibrium within the plane of the ring \( q>0 \)
| 3 |
Physics
|
The side of a rhombus is \( 26 m \) and
length of one of its diagonal is 20 m. The
area of the rhombus is
A \( \cdot 120 m^{2} \)
В. \( 240 \mathrm{m}^{2} \)
c. \( 480 m^{2} \)
D. None
| 2 |
Maths
|
The conditions favourable for the
reaction: \( 2 S O_{2}(g)+O_{2}(g) \rightleftharpoons \)
\( 2 S O_{3}(g) ; \triangle H^{\circ}=-198 K J \) are
A. low temperature,high pressure
B. any value of T and P
c. low temperature and low pressure
D. high temperature and high pressure
| 1 |
Chemistry
|
From the given figure, we can find that
\( \angle A B C=47^{\circ} \)
A. True
B. False
| 2 |
Maths
|
In borex bead test which compound is formed:
A. ortho borate
B. meta borate
c. dDouble oxide
D. tetra borate
| 1 |
Chemistry
|
Find \( a \) so that roots of \( x^{2}+2(3 a+ \)
5) \( x+2\left(9 a^{2}+25\right)=0 \) are real.
| 2 |
Maths
|
In a moving coil galvanometer, the magnetic pole pieces are made cylindrical and a soft iron core is placed at the centre of the coil,the purpose for doing so is:
A. to make the magnetic field strong
B. to make the magnetic field strong and radial
c. to make the magnetic field uniform
D. to make the magnetic field strong and uniform
| 3 |
Physics
|
A particle of mass \( m \) is executing
oscillations about the origin on the \( x- \) axis. It's potential energy is \( \boldsymbol{U}(\boldsymbol{x})= \)
\( \boldsymbol{k}|\boldsymbol{x}|^{3}, \) where \( \boldsymbol{k} \) is a positive constant. If
the amplitude of oscillation is \( a \), then
its time period \( \boldsymbol{T} \) is:
A . proportional to \( \frac{1}{\sqrt{a}} \)
B. independent of \( a \)
c. proportional to \( \sqrt{a} \)
D. proportional to \( a^{3 / 2} \)
| 3 |
Physics
|
In a hydrogen atom, an electronjumps from the second orbit to the first orbit
Find out
The wavelength of the radiation is :
A \( \cdot 1.325 \times 10^{3} \mathrm{A} \)
в. \( 2.430 \times 10^{3} \) А
c. \( 1.215 \times 10^{3} \) A
D. \( 2.255 \times 10^{3} \) A
| 1 |
Chemistry
|
A point source of light at the surface of a sphere causes a parallel beam of light to emerge from the opposite surface of the sphere. The refractive index of the material of the sphere is?
A . 5
В. \( 5 / 3 \)
c. 2
D. 2.5
| 3 |
Physics
|
Match list A and list B accurately:
List \( \mathbf{A} \) List B
a) spherical wave front
e) linear
source
b) plane wave front
f) point light source
c) cylindrical wave front
g) at infinite distance
\( A \cdot(a, f) ;(b, g) ;(c, e) \)
B. ( a, f); (b, e); (c, g)
\( c \cdot(a, g) ;(b, f) ;(c, e) \)
D. \( (a, e) ;(b, g) ;(c, f) \)
| 3 |
Physics
|
For the path \( P Q R \) in a conservative
force field, the amount of work done in
carrying a body from \( P \) to \( Q \& \) from \( Q \) to
\( R \) are \( 5 J \& 2 J \) respectively. The work
done in carrying the body from \( \boldsymbol{P} \) to \( \boldsymbol{R} \)
will be-
в. 3 J
c. \( \sqrt{21} J \)
D. Zer
| 3 |
Physics
|
Assertion
Ascomycetes fungi produce asexual spore which are called ascospore.
Reason
Ascospores are produced endogenously in sac like asci.
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 and Reason are correct
| 0 |
Biology
|
An electron and a photon have same wavelength of \( 10^{-9} \mathrm{m} . \) If \( \mathrm{E} \) is the energy
of the photon and p is the momentum of the electron, the magnitude of E/p in \( \mathrm{S} \) units is?
A. \( 1.00 \times 10^{-9} \)
B. \( 1.50 \times 10^{8} \)
c. \( 3.00 \times 10^{8} \)
D . \( 1.20 \times 10^{7} \)
| 3 |
Physics
|
A small ring of mass \( m \) is connected
with a particle of same mass by an ideal string \( \& \) the whole system is released as shown in figure. Coefficient of friction between ring \( A \) and wire is 3/5. Ring A will start sliding when connecting string will make an angle \( (5 \times x)^{0} \) with the vertical. Find \( x \)
(particle is free to move and ring can slide only)
| 3 |
Physics
|
A complex number is represented by an
ordered pair \( z:(3,4), \) which of the
following is true for \( z ? \)
A. \( z=3+4 i \)
В. \( z=4+3 i \)
\( \mathbf{c} \cdot z=3+4 \)
D. None of these
| 2 |
Maths
|
The primary dentition in human differs from permanent dentition in not having one of the following type of teeth
A. Canine
B. Premolars
c. Molars
D. Incisors
| 0 |
Biology
|
Explain how animals in Vertebrata are classified into further subgroups.
| 0 |
Biology
|
Observe the following picture and
answer the following question:
What is corrosion?
| 1 |
Chemistry
|
Nucleic acid in chromosomes of
bacteria are
A. Of two types DNA and RNA
B. Linear DNA
c. circular DNA
D. Linear RNA
| 0 |
Biology
|
Which is the correct decreasing order of nucleophilic addition of carbonyl
compound?
A. aldehyde, ketone, ester, acid, amide
B. acid, aldehyde, ketone, ester, amide
c. amide, aldehyde, ketone, ester, acid,
D. ketone, aldehyde, ester, acid, amide
| 1 |
Chemistry
|
Which of the following do not exist?
A. \( N C l_{5} \)
в. \( P H_{5} \)
\( \mathbf{c} \cdot\left[B C l_{6}\right]^{3-} \)
D. All of these
| 1 |
Chemistry
|
The temperature of a thin uniform rod
increases by t. Its moment of inertia about an axis perpendicular to its length increases by:
A .
B. \( \alpha I t \)
\( c \cdot 2 \alpha I \)
D. \( \alpha^{2} I \)
| 3 |
Physics
|
If \( \boldsymbol{A}=\left[\begin{array}{ll}\mathbf{0} & \mathbf{1} \\ \mathbf{1} & \mathbf{0}\end{array}\right], \) then \( \boldsymbol{A}^{2} \) is equal to
\( A \cdot\left[\begin{array}{ll}0 & 1 \\ 1 & 0\end{array}\right] \)
B. \( \left[\begin{array}{ll}1 & 0 \\ 1 & 0\end{array}\right] \)
c. \( \left[\begin{array}{ll}1 & 0 \\ 0 & 1\end{array}\right] \)
D. \( \left[\begin{array}{ll}0 & 1 \\ 0 & 1\end{array}\right] \)
| 2 |
Maths
|
The yield of the products in the reaction, \( \boldsymbol{A}_{2(\boldsymbol{g})}+\mathbf{2} \boldsymbol{B}_{(\boldsymbol{g})} \rightleftharpoons \boldsymbol{C}_{(\boldsymbol{g})}+\boldsymbol{Q} \boldsymbol{k} \boldsymbol{J} \) would be
higher at :
A. high temperature and high pressure
B. high temperature and low pressure
C. low temperature and high pressure
D. low temperature and low pressure
| 1 |
Chemistry
|
Splenic artery arises from?
A. Anterior mesenteric artery
B. Coeliac artery
c. Posterior mesenteric artery
D. Intestinal artery
| 0 |
Biology
|
A charge of \( 20 \mu C \) is placed on the
positive plate of an isolated parallelplate capacitor of capacitance \( 10 \mu F \) Calculate the potential difference developed between the plates.
| 3 |
Physics
|
For an electron in the second orbit of
Bohr's hydrogen atom, the moment of linear momentum is:
\( A \cdot \pi h \)
в. \( 2 \pi r h \)
\( c \cdot \frac{h}{\pi} \)
D. \( \frac{2 h}{\pi} \)
| 3 |
Physics
|
pumps deoxygenated blood to the
lungs.
A. Right auricle
B. Right ventricle
c. Left auricle
D. Left ventricle
| 0 |
Biology
|
One end of a rod of length \( L \) is fixed to a
point on the circumference of a wheel of radius R. The other end is sliding freely
along a straight channel passing
through the centre 0 of the wheel as
shown in the figure. The wheel is
rotating with a constant angular velocity \( \omega \) about \( 0 . \) Taking \( T=\frac{2 \pi}{P \omega} \) the
motion of the rod is?
A. Simple harmonic with a period of \( T \)
B. Simple harmonic with a period of \( T / 2 \)
c. Not simple harmonic but periodic with a period of \( T \)
D. Not simple harmonic but periodic with a period of \( T / 2 \)
| 3 |
Physics
|
The length of perpendicular from the
point (7,14,5) to the plane \( 2 x+4 y- \)
\( z=2 \) is
A \( \cdot 21 \sqrt{3} \)
is
B. \( 3 \sqrt{21} \)
c. \( \sqrt{321} \)
D. \( 5 \sqrt{2} \)
| 2 |
Maths
|
What will be the pH value of a solution of \( 500 m L \) containing \( 5 g \) acetic acid
and \( 7.2 g \) of sodium acetate? \( K_{a}= \)
\( 1.8 \times 10^{-5} \) at \( 25^{\circ} C \)
| 1 |
Chemistry
|
Assertion
In the human body the heart acts as the
pump that circulates blood through different parts of the body, transferring
heat by forced convection.
Reason
In forced convection,material is forced
to move by a pump or by some other
physical means.
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 reaction involving two different
reactants:
A. can never be a second order reaction.
B. can never be a unimolecular reaction
c. can never be a bimolecular reaction
D. can never be a first order reaction
| 1 |
Chemistry
|
An object may have
This question has multiple correct options
A. Varying speed without having varying velocity
B. Varying velocity without having varying speed
C. Non zero acceleration without having varying velocity
D. Non zero acceleration without having varying speed
| 3 |
Physics
|
If the vectors \( \vec{P}=a \tilde{i}+a \hat{j}+ \) 3 \( \hat{k} \) and \( \vec{Q}=a \hat{i}-2 \hat{j}-\hat{k} \) are
perpendicular to each other then the positive value of a is
A . zero
в.
\( c \cdot 2 \)
D. 3
| 3 |
Physics
|
For how many real values of \( ^{\prime} m^{\prime} \) the points \( \boldsymbol{A}(\boldsymbol{m}+\mathbf{1}, \mathbf{1}), \boldsymbol{B}(\boldsymbol{2 m}+\mathbf{1}, \boldsymbol{3}) \) and
\( C(2 m+2,2 m) \) are collinear.
| 2 |
Maths
|
To which type of reaction, Le Chatelier's principle can always be applied?
A . Reversible
B. Elementary
c. synthesis
D. Decomposition
E. Double Replacement
| 1 |
Chemistry
|
Which of the following symbol represents a universal gate?
\( A \)
в.
\( c \)
D.
| 3 |
Physics
|
Angles forming a linear pair can both be acute angles.
A. True
B. False
c. Ambiguous
D. Data Insufficient
| 2 |
Maths
|
Wavelength of gamma rays are:
\( \mathbf{A} \cdot 10^{-10} m \) to less than \( 10^{-14} m \)
B. \( 10^{-14} \mathrm{m} \) to less than \( 10^{-10} \mathrm{m} \)
C \( \cdot 10^{-11} \mathrm{m} \) to less than \( 10^{-14} \mathrm{m} \)
D. \( 10^{-14} \mathrm{m} \) to less than \( 10^{-6} \mathrm{m} \)
| 3 |
Physics
|
After balancing and reducing the coefficients to lowest whole number
terms, What is the coefficient of \( \boldsymbol{H}_{2} \boldsymbol{O} \) ?
\( \boldsymbol{H} \boldsymbol{C l}+\boldsymbol{K} \boldsymbol{M} \boldsymbol{n} \boldsymbol{O}_{4} \rightarrow \boldsymbol{H}_{2} \boldsymbol{O}+\boldsymbol{K} \boldsymbol{C l}+ \)
\( M n C l_{2}+C l_{2} \)
\( A \cdot 1 \)
B. 2
\( c .5 \)
D. 8
E . 16
| 1 |
Chemistry
|
If \( p-\frac{1}{p}=4, \) find the value of \( p^{4}+\frac{1}{p^{4}} \)
A . 16
B. 18
c. 324
D. 322
| 2 |
Maths
|
Light years is the unit of:
A. time
B. length
c. mass
D. none of these
| 3 |
Physics
|
A long, straight metal has a long hole of
radius a drilled parallel to the rod axis
with cross-sectional view as shown. If
the rod carries a current \( I \), the value of
the magnetic field on the axis of the rod
is:
A \( \quad B=\frac{\mu_{0} I a^{2}}{2 \pi c\left(b^{2}-a^{2}\right)} \)
B. \( B=\frac{\mu_{0} I}{2 \pi c} \)
c. \( \quad B=\frac{\mu_{0} I a^{2}}{4 \pi c\left(b^{2}-a^{2}\right)} \)
\( \mathbf{D} \cdot B=z e r o \)
| 3 |
Physics
|
f the equilibrium constant for reaction
(i) is \( 2, \) what is the equilibrium constant for reaction (ii)?
\( C O_{2} \rightleftharpoons C O+\frac{1}{2} O_{2 \cdots \cdots}(i) \)
\( 2 C O+O_{2} \rightleftharpoons 2 C O_{2} \dots( \) ii)
A.
в.
c. 1
D.
| 1 |
Chemistry
|
A spot light \( S \) rotates in a horizontal
plane with a constant angular velocity of \( 0.1 \mathrm{rad} / \mathrm{s} \). The spot of light \( \boldsymbol{P} \) moves
along the wall at a distance \( 3 m \). What is
the velocity of the spot \( \boldsymbol{P} \) when \( \boldsymbol{\theta}=\mathbf{4 5}^{o} \) ?
A. \( 0.6 \mathrm{m} / \mathrm{s} \)
B. \( 0.5 \mathrm{m} / \mathrm{s} \)
\( c .0 .4 m / s \)
D. \( 0.3 \mathrm{m} / \mathrm{s} \)
| 3 |
Physics
|
Reverse saturation current of a diode:
A. is independent of temperature
B. increases with increase in temperature
C. decreases with increase in temperature
D. may increase or decrease with increase in temperature depending on the semiconductor
| 3 |
Physics
|
Two vectors \( \vec{A} \) and \( \vec{B} \) have magnitude 3 each. \( \vec{A} \times \vec{B}=-5 \hat{k}+2 \hat{i} . \) Find the
angle between \( A \) and \( B \)
A \( \cdot \cos ^{-1} \frac{\sqrt{29}}{9} \)
B. \( \tan ^{-1}\left(\frac{-5}{2}\right) \)
\( ^{c} \cdot \sin ^{-1}\left(\frac{2}{5}\right) \)
D. \( \sin ^{-1}\left(\frac{\sqrt{29}}{9}\right) \)
| 2 |
Maths
|
An element \( A \) has electronic
configuration \( 2,8,13,2 . \) The number of electrons in the element having \( l=0 \)
is:
A . 6
B. 8
\( c .5 \)
D. 4
| 1 |
Chemistry
|
In coupling reactions, diazonium ion
acts as:
A. nucleophile
B. electrophile
c. solvent
D. none of the above
| 1 |
Chemistry
|
A card is down \& replaced in ordinary pack of 52 playing cards. Minimum number of times must a card be drawn
so that there is atleast an even chance
of drawing a heart, is
A . 2
B. 3
\( c \cdot 4 \)
D. more than four
| 2 |
Maths
|
To find the standard potential of \( M 3^{+} / M \) electrode, the following cell is constituted :
\( \boldsymbol{P t} / \boldsymbol{M} / \boldsymbol{M}^{3+}\left(\mathbf{0 . 0 0 1 m o l} \boldsymbol{L}^{-1}\right) / \boldsymbol{A} \boldsymbol{g}^{+}(\mathbf{0 . 0 1} \)
The emf of the cell is found to be 0.421
volt at \( 298 \mathrm{K} \) The standard potential of
half reaction \( M^{3}+3 e^{-} \rightarrow M \) at \( 298 \mathrm{K} \)
will be :
(Given \( \boldsymbol{E}_{A g^{+} / A g}^{e} \) at \( 298 \mathrm{K}=0.80 \) Volt
A. 0.32 volt
B. 0.66 Volt
c. 1.28 volt
D. 0.38 Volt
| 1 |
Chemistry
|
Assertion
Adsorption is exothermic and spontaneous inspite of the fact that
adsorption is accompained with decrease in entropy.
Reason
The factor \( T \Delta S \) is lesser than \( \Delta H \)
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
| 1 |
Chemistry
|
Which statement regarding translation
is out of order first?
A. Ribosomal subunits bind to mRNA
B. Ribosome comes to a stop codon on the mRNA
C. As a tRNA leaves the ribosome it passes its amino acid to the growing polypeptide
D. The messenger RNA codon binds to the tRNA anticodon
| 0 |
Biology
|
(Concentration/Molarity) is the amount of solute present in a given amount of solution.
| 1 |
Chemistry
|
Identify the correct order.
1. Mineral absorption zone.
2. Meristematic zone.
3. Maturation zone.
4. Water absorption zone.
в. 4,3,2,1
c. 2,4,1,3
D. 1,2,3,4
| 0 |
Biology
|
In the circuit shown in figure, the
voltage drop between \( A \) and \( D \) is
A . \( 10 v \)
B. 5 v
\( c \cdot 4 v \)
0.6
| 3 |
Physics
|
Which one of the following elements reduces \( N a O H \) to \( N a ? \)
A . \( S i \)
в. \( P b \)
\( c . c \)
D. \( s n \)
| 1 |
Chemistry
|
The equation of the circle which passes through the point (3,-2) and (-2,0) and centre line \( 2 x-y=3, \) is
A \( \cdot x^{2}+y^{2}-3 x-12 y+2=0 \)
B. \( x^{2}+y^{2}-3 x+12 y+2=0 \)
c. \( x^{2}+y^{2}+3 x+12 y+2=0 \)
D. None of these
| 2 |
Maths
|
Consider following three halides:
(।) \( \boldsymbol{C H}_{3}-\boldsymbol{C H}_{2}-\boldsymbol{C l} \)
(II) \( \boldsymbol{C H}_{2}=\boldsymbol{C H}-\boldsymbol{C l} \)
\( (\| I) \quad C_{6} H_{5} C l \)
Arrange \( C-C l \) bond length of these
compounds in decreasing order
A \( . I>I I>I I I \)
в. \( I>I I I>I I \)
c. \( I I I>I I>I \)
D. \( I I>I I I>I \)
| 1 |
Chemistry
|
Arrange \( C C l_{3}\left(C H_{2}\right)_{3} N H_{2}(\mathrm{a}) \)
\( C C l_{3}\left(C H_{2}\right) N H_{2}(\mathrm{b}), \) and \( C C l_{3} C H_{2} N H_{2} \)
(c) in order of decreasing basic nature
\( A \cdot C>B>A \)
B. \( C>A>B \)
\( c \cdot A>c>B \)
D. \( B>A>C \)
| 1 |
Chemistry
|
Gas constant \( (\boldsymbol{R}) \) equals to
A \( \cdot \frac{C_{p}}{C_{v}} \)
B.
c. \( C_{v}-C_{p} \)
D. \( C_{p}-C_{v} \)
| 1 |
Chemistry
|
Linnaeus published his concept of binomial nomenclature first in
A. Systema Naturae
B. Species Plantarum
c. Genera Plantarum
D. Philosophia Botanica
| 0 |
Biology
|
Resistivity of a material depends on
A . Area
B. Length
c. Either A or B
D. None of the above
| 3 |
Physics
|
ABCD is a quadrilateral. If \( A C \) and \( B D \) bisect each other then ABCD must be a
A. triangle
B. cylinder
c. parallelogram
D. pyramid
| 2 |
Maths
|
Which organism are called primitive
and how are they different from the socalled advanced organisms?
| 0 |
Biology
|
The points \( A(4,5,10), B(2,3,4) \) and \( C(1, \) 2,-1) are three vertices of a
parallelogram ABCD. Find the vector
equations of the sides \( A B \) and \( B C \) and also find the coordinates of point \( D \)
| 2 |
Maths
|
A force of \( 10^{3} \mathrm{N} \) stretches the length of a
hanging wire by 1 millimeter. The force required to stretch a wire of same material and length but having four
times the diameter by 1 millimeter is :
\( \mathbf{A} \cdot 4 \times 10^{3} \mathrm{N} \)
В \( \cdot 16 \times 10^{3} \mathrm{N} \)
c. \( \frac{1}{4} \times 10^{3} \mathrm{N} \)
D. \( \frac{1}{16} \times 10^{3} \mathrm{N} \)
| 3 |
Physics
|
Given the relation \( \boldsymbol{R}=\{(\mathbf{1}, \mathbf{2}),(\mathbf{2}, \mathbf{3})\} \)
on the set \( A=\{1,2,3\} \), the minimum
number of ordered pairs which when added to \( R \) make it an equivalence
relation is
\( \mathbf{A} \cdot \mathbf{5} \)
B. 6
\( c \cdot 7 \)
\( D \)
| 2 |
Maths
|
The product is:
\( A \)
B.
\( c \)
D.
| 1 |
Chemistry
|
Read the statements regarding muscle proteins and identify the correct
statements
i. Actin is a thin filament and is made
up of two F-actins
ii. Complex protein, tropomyosin is distributed at regular intervals on the
troponin
iii. Myosin is a thick filament which is
also a polymerized protein
iv. Globular head of meromyosin consists of light meromyosin (LMN)
A. i, iii and iv are correct
B. i and iii are correct
c. i, ii and iii are correct
D. i, ii and iv are correct
E. ii and iv are correct
| 0 |
Biology
|
\( \int \frac{e^{x} d x}{\cosh x+\sinh x}= \)
\( A \cdot \log \cosh x+c \)
B. \( \tan x+\cot x+c \)
C \( \cdot \frac{1}{2} e^{2 x}+c \)
D. \( x+c \)
| 2 |
Maths
|
In the figure above, line \( \iota \) (not shown) is
perpendicular to segment \( A B \) and
bisects segment \( A B \). Which of the
following points lies on line \( \iota \) ?
A \( \cdot(0,2) \)
В \( \cdot(1,3) \)
\( c .(3,1) \)
D. (3,3)
E. 6,6
| 2 |
Maths
|
Given the equilibrium constants:\( \boldsymbol{C I}^{-}+\boldsymbol{H} \boldsymbol{g} \boldsymbol{C I}^{+} \rightleftharpoons \boldsymbol{H} \boldsymbol{g} \boldsymbol{C I}_{2} \)
\( \boldsymbol{K}_{\mathbf{1}}=\mathbf{3} \times \mathbf{1 0}^{\mathbf{6}} \)
\( \boldsymbol{H} \boldsymbol{g} \boldsymbol{C} \boldsymbol{I}_{2}+\boldsymbol{C} \boldsymbol{I}^{-} \rightleftharpoons \boldsymbol{H} \boldsymbol{g} \boldsymbol{C} \boldsymbol{I}_{3}^{-} ; \boldsymbol{K}_{2}=\boldsymbol{8} . \boldsymbol{9} \)
The equilibrium constants for the disproportionation equilibrium
\( 2 H g C I_{2} \rightleftharpoons H g C I^{+} H g C I_{3}^{-} \) is :
\( \mathbf{A} \cdot 3 \times 10^{-6} \)
В. \( 4 \times 10^{-6} \)
c. \( 3.5 \times 10^{-6} \)
D. \( 4.5 \times 10^{-6} \)
| 1 |
Chemistry
|
In the double helix model of DNA as
proposed by Watson and Crick, each base pair is how far from the next base
pair?
\( A \cdot 0.034 \mathrm{nm} \)
B. 0.34 nm
\( c .3 .4 \mathrm{nm} \)
D. 34 nm
| 0 |
Biology
|
Which of the following is a component of dynamo?
B. Armature coil
c. Slip Rings
D. All of the above
| 3 |
Physics
|
Ultraviolet light of wavelength \( \lambda_{1} \) and \( \lambda_{2} \) when allowed to fall on hydrogen atoms in their ground state is found to liberate electron with kinetic energy \( 1.8 e V \) and 4.0 \( e V \) respectively. Find the value of \( \frac{\lambda_{1}}{\lambda_{2}} \)
A \( -\frac{7}{8} \)
B. \( \frac{8}{7} \)
c. \( \frac{9}{20} \)
D. \( \frac{20}{9} \)
| 3 |
Physics
|
Name the most abundant elements
which occur in nucleic acid
macromolecules
A. \( C, H, O, N, S, \)
в. \( C, O, N, S \)
c. \( C, O, P, S \)
D. \( C, H, O, N, P \)
ह. \( H, O, P \)
| 0 |
Biology
|
In a sample of semi conductor
mobilities of electrons and holes are
\( 24 \times 10^{3} c m^{2} V^{-1} S^{-2} \) and \( 0.2 \times \)
\( 10^{3} \mathrm{cm}^{2} V^{-1} S^{-1} \) respectively. If the
density electrons is \( 0.8 \times 10^{14} \mathrm{cm}^{-3} \)
and that of holes is \( 0.4 \times 10^{14} \mathrm{cm}^{-3} \)
Find the nature of semi conductor and
its conductivity
| 3 |
Physics
|
The number \( 4^{n}+15 n-1 \) is a
multiple of 9 for any natural \( n \)
A. True
B. False
| 2 |
Maths
|
The shunt required to send \( 10 \% \) of the main current through a moving coil galvanometer of resistance \( 99 \Omega \) is
\( \mathbf{A} \cdot 99 \Omega \)
в. \( 9.9 \Omega \)
c. \( 9 \Omega \)
D. \( 10 \Omega \)
E . \( 11 \Omega \)
| 3 |
Physics
|
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