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The viscous force acting on a body falling under gravity in a viscous fluid will be
A \( \cdot \frac{6 \pi V}{\eta r} \)
в. \( \frac{6 \pi \eta r}{V} \)
c. \( 6 \pi \eta r V \)
D. \( \frac{r V}{6 \pi \eta} \)
| 3 |
Physics
|
If an edge of a cube measure \( 2 \mathrm{m} \) with a
possible error of \( 0.5 \mathrm{cm} . \) Find the corresponding error in the calculated volume of the cube.
\( \mathbf{A} \cdot 0.6 m^{3} \)
В. \( 0.06 m^{3} \)
c. \( 0.006 m^{3} \)
D. \( 0.0006 \mathrm{m}^{3} \)
| 2 |
Maths
|
Fill in the blanks:
(a) Phosphorus is very \( _{-}---- \) non-
metal.
(b) Metals are conductors of heat
and
(c) Iron is \( _{-1-} \) reactive than
copper.
(d) Metals react with acids to produce
gas.
| 1 |
Chemistry
|
Geeta purchased a face-cream for Rs. 79.10 including Sales Tax. If the printed price of the face-cream is Rs. \( 70 ; \) find the rate of Sales Tax.
A . \( 2 \% \)
B. \( 7 \% \)
c. \( 11 \% \)
D. \( 13 \% \)
| 2 |
Maths
|
If the length of the common chord of two intersecting equal circles be \( 6 \mathrm{cm} \) and
if the radius of each circle be \( 5 \mathrm{cm} \) then
the distance between the centers of the
circle is
A. \( 7 \mathrm{cm} \)
B. \( 8 \mathrm{cm} \)
\( c .9 \mathrm{cm} \)
D. none
| 2 |
Maths
|
The two compounds
\( \boldsymbol{C H}_{3} \boldsymbol{C H}_{2} \boldsymbol{C H}_{2} \boldsymbol{O C H}_{3} \) and
\( \boldsymbol{C H}_{3} \boldsymbol{C H}_{2} \boldsymbol{O C H}_{2} \boldsymbol{C H}_{3} \) may be
considered as:
A. metamers
B. tautomers
c. functional isomers
D. position isomers
| 1 |
Chemistry
|
Toluidine blue specifically stains
A. DNA
B. RNAA
c. chitin
D. Lignin
| 0 |
Biology
|
The chronological order of human
evolution from early to the recent is
A. Ramapithecus \( \rightarrow \) Homo habilis \( \rightarrow \) Australopithceus \( \rightarrow \) Homo erectus
B. Australopithecus \( \rightarrow \) Homo habilis \( \rightarrow \) Ramapithecus \( \rightarrow \) Homo erectus
C. Australopithecus \( \rightarrow \) Ramapithecus \( \rightarrow \) Homo habilis \( \rightarrow \) Homo erectus
D. Ramapithecus \( \rightarrow \) Australopithceus \( \rightarrow \) Homo habilis \( \rightarrow \) Homo erectus
| 0 |
Biology
|
What is released when \( B_{2} H_{6} \) reacts
with oxygen?
A. Hydrogen gas
в. \( B_{2} O_{3} \)
c. no reaction
D. \( B O_{2} \)
| 1 |
Chemistry
|
If \( \boldsymbol{A}= \)
\( \frac{1}{\pi}\left[\begin{array}{cc}\sin ^{-1}(\pi x) & \tan ^{-1}\left(\frac{\pi}{\pi}\right) \\ \sin ^{-1}\left(\frac{x}{\pi}\right) & \cot ^{-1}(\pi x)\end{array}\right], B= \)
\( \frac{1}{\pi}\left[\begin{array}{cc}-\cos ^{-1}(\pi x) & \tan ^{-1}\left(\frac{x}{\pi}\right) \\ \sin ^{-1}\left(\frac{x}{\pi}\right) & -\tan ^{-1}(\pi x)\end{array}\right], \) then
\( A-B \) is equal to
\( A \)
B.
\( c .2 \)
\( D \cdot \underline{1} \)
| 2 |
Maths
|
A plant which manufactures its own
food is
A. Autotrophic
B. Symbiotic
c. Heterotrophic
D. Saprophyticç
| 0 |
Biology
|
A shipment of 8 similar microcomputers to a retail outlet
contains 3 that are defective. If aschool
makes a random purchase of 2 of these computers, find the probability distribution for the number of
defectives? Also, find its mean and
standard deviation.
| 2 |
Maths
|
The probability of a sure event is
| 2 |
Maths
|
A rubber ball dropped from a certain height is an example of
A. Uniform acceleration
B. Uniform retardation
C. Uniform speed
D. Non of these
| 3 |
Physics
|
Pollination by bat is called
A. Ornithophily
B. Chiropterophily
c. Malacophily
D. Anemophily
| 0 |
Biology
|
\( H_{2} S \) gas passed in all the following test
tube so that precipitation abserve so
which is correct match:
\( \boldsymbol{C u}, \boldsymbol{S b} \boldsymbol{Z n}, \boldsymbol{C d}, \boldsymbol{P d}, \boldsymbol{S n}, \boldsymbol{N i} \)
A . \( C d- \) Black
в. \( S b \) - orange
c. \( N i- \)yellow
D. \( Z n- \) Brown
| 1 |
Chemistry
|
The Binding energy per nucleon of \( _{3}^{7} L i \)
and \( _{2}^{4} H e \) nucleon are \( 5.60 M e V \) and
7.06 \( M e V \), respectively. In the nuclear
reaction \( _{3}^{7} L i+_{1}^{1} H \rightarrow_{2}^{4} H e+_{2}^{4} H e+Q \)
the value of energy \( Q \) released is
A. \( 19.6 \mathrm{MeV} \)
в. \( -2.4 \mathrm{MeV} \)
c. \( 8.4 \mathrm{MeV} \)
D. \( 17.3 \mathrm{MeV} \)
| 3 |
Physics
|
Fruit drop is prevented by spraying
A. Auxin
B. Ethylene
c. Gibberellins
D. cytokinins
| 0 |
Biology
|
The depletion region in a semiconductor diode is formed at the
Junction.
A. True
B. False
| 3 |
Physics
|
Three men \( A, B, C \) of mass \( 40 \mathrm{kg}, 50 \mathrm{kg} \) and \( 60 \mathrm{kg} \) are standing on a plank of mass \( 90 \mathrm{kg} \) which is kept on a smooth
horizontal plane B sits in the middle of
the plane \( B \) sits in the middle of the plane \( A \) and \( C \) sit 2 meters away from opposite sides. If \( A \) and \( C \) exchange there positions then mass B will shift
| 3 |
Physics
|
toppr
Q
5
particle with respect to time tis correctly shown in.
\( V \)
| 3 |
Physics
|
The correct order of heat of
hydrogenation of given molecule is :
\( A \cdot d>c>a>b \)
B. \( d>c>b>a \)
C. \( b>a>c>d \)
\( D \cdot d>a>c>b \)
| 1 |
Chemistry
|
The self induction of a coil having 400 turns is \( 10 \mathrm{mH} \). The magnetic flux through the cross section of the coil corresponding to current \( 2 \mathrm{mA} \) is :
A \( \cdot 2 \times 10^{-5} \mathrm{Wb} \)
В. \( 8 \times 10^{-3} \mathrm{Wb} \)
c. \( 4.3 \times 10^{-5} \mathrm{Wb} \)
D. \( 4.8 \times 10^{-3} \mathrm{Wb} \)
| 3 |
Physics
|
A girl standing in front of a vertical plane mirror, is able to see herself only upto her knees. She can see the lower
part of her legs, if :
A. she moves towards the mirror
B. she moves away from the mirror
c. she bends down
D. she stands on a stool
| 3 |
Physics
|
A body of mass \( m \) slides down a smooth inclined plane having an inclination of
\( 45^{\circ} \) with the horizontal. It takes 4 sec to
reach the bottom. If the body is placed on a similar plane having coefficient of friction \( 0.5 . \) What is the time taken for it
to reach bottom?
A \( .4 \sqrt{2} s e c \)
B. 4 sec
\( \mathrm{c} \cdot 3 \sqrt{2} \mathrm{sec} \)
D. \( 2 s e c \)
| 3 |
Physics
|
In a transformer, there are 10000 turns
in the primary coil and 25000 turns in the secondary coil.An AC EMF \( e= \)
\( 50 \sin \pi t \) is applied across primary coil
,find the peak EMF across the secondary coil in ideal conditions
| 3 |
Physics
|
Prime factors of 140 are :
A. \( 2 \times 2 \times 7 \)
В. \( 2 \times 2 \times 5 \)
c. \( 2 \times 2 \times 5 \times 7 \)
D. \( 2 \times 2 \times 5 \times 7 \times 3 \)
| 2 |
Maths
|
Identify the reaction that does not take place in a blast furnace.
A. \( C a C O_{3} \rightarrow C a O+C O_{2} \)
в. \( C a O+S i O_{2} \rightarrow C a S i O_{3} \)
\( \mathbf{c} \cdot 2 F e_{2} O_{3}+3 C \rightarrow 4 F e+3 C O_{2} \)
D. \( C O_{2}+C \rightarrow 2 C O \)
| 1 |
Chemistry
|
The atomicity of noble gases is:
A. diatomic
B. monoatomic
c. triatomic
D. tetraatomic
| 1 |
Chemistry
|
If you have a solution in equilibrium
containing \( C l^{-} \) ions and you added
NaCl to the solution, what is going to
happen?
A. The reaction will shift to the left to compensate for the increased concentration of \( C l^{-} \) ions
B. The reaction will become unbalanced and stay unbalanced
C. Le Chatelier's principle says that nothing will happen
D. More \( N a^{+} \) ions will be made so that concentrations of
\( N a^{+} \) and \( C l^{-} \) even out
E . Equilibrium will be restored
| 1 |
Chemistry
|
A conducting rod of length \( \boldsymbol{L}=\mathbf{0 . 1 m} \) is
moving with a uniform speed \( \boldsymbol{v}= \)
\( 0.2 m / s \) on conducting rails in a
magnetic field \( B=0.5 T \) as shown. On
one side, the end of the rails is
connected to a capacitor of capacitance \( C=20 \mu F . \) Then the charges on the
capacitor plates are :
A \( \cdot q_{A}=0=q_{B} \)
B \( \cdot q_{A}=+20 \mu C \) and \( q_{B}=-20 \mu C \)
\( \mathbf{c} \cdot q_{A}=+0.2 \mu C \) and \( q_{B}=-0.2 \mu C \)
\( \mathbf{D} \cdot q_{A}=-0.2 \mu C \) and \( q_{B}=-0.2 \mu C \)
| 3 |
Physics
|
Which of the following will have highest nucleophilicity?
\( \mathbf{A} \cdot \boldsymbol{\theta} \)
\( C l \)
B. \( \theta \) \( F \)
\( c . \theta \)
\( C H_{3} \)
D. \( \theta \) \( O H \)
| 1 |
Chemistry
|
The structure of \( \boldsymbol{S} \boldsymbol{i} \boldsymbol{O}_{2} \) ?
A. trigonal
B. linear
c. tetrahedral
D. angular
| 1 |
Chemistry
|
Differentiate the following functions
with respect to \( \boldsymbol{x} \)
\[
\mathbf{f} \boldsymbol{y}=\cot ^{-1}\left\{\frac{\sqrt{\mathbf{1}+\sin \boldsymbol{x}}+\sqrt{\mathbf{1}-\sin \boldsymbol{x}}}{\sqrt{\mathbf{1}+\sin \boldsymbol{x}}-\sqrt{\mathbf{1}-\sin \boldsymbol{x}}}\right\}
\]
\( 0<x<\frac{\pi}{2}, \) show that \( \frac{d y}{d x} \) is
independent of \( \boldsymbol{x} \)
| 2 |
Maths
|
Mark the incorrect option.
A. Ampere's law states that flux \( B \) through any closed
surface is \( \mu_{0} \) times the current passing through the area bounded by closed sourface
B. Gauss's law for magnetic field in magnetostatics serves the same purpose as Gauss's law for electric for electric field in electrostatics
C. Gauss's law for magnetic field states that the flux of \( B \) through any closed surface is always zero, whether or not there are currents within the surface
D. All the above
| 3 |
Physics
|
List two factors on which resistance of a
conductor depends.
| 3 |
Physics
|
Newton's law of motion were stated by
the scientist named as Charles-
Augustin
A. True
B. False
| 3 |
Physics
|
The aperture diameter of a telescope is
5 \( m \). The separation between the moon and the earth is \( 4 \times 10^{5} \mathrm{km} . \) With light of wavelength of \( 5500 A \), the minimum separation between objects on the surface of moon, so that they are just
resolved, is close to?
A. \( 60 \mathrm{m} \)
в. 20
c. 600 m
D. 200 m
| 3 |
Physics
|
\( \boldsymbol{C r}_{2} \boldsymbol{O}_{\mathbf{7}}^{2-} \stackrel{\boldsymbol{p H}=\boldsymbol{x}}{\boldsymbol{\longrightarrow} \boldsymbol{r} \boldsymbol{O}_{4}^{2-} \stackrel{\boldsymbol{p H}=\boldsymbol{y}}{\boldsymbol{U}} \boldsymbol{C}_{\mathbf{2}} \boldsymbol{O}_{\boldsymbol{7}}^{2-}} \)
pH values \( x \) and \( y \) can be:
A. 4 and 5
B. 4 and 8
\( c \cdot 8 \) and 4
D. 8 and 9
| 1 |
Chemistry
|
A metal wire of length L is loaded and an
elongation of \( \Delta L \) is produced. If the area of cross section of the wire is \( A \) then the change in volume of the wire, when elongated is. Take Poisson's ratio
as 0.25
A \( \cdot \Delta V=(\Delta L)^{2} A / L \)
B . \( \Delta V=(\Delta L)^{2} A / 4 L \)
c. \( \Delta V=(\Delta L)^{2} A / 2 L \)
D. \( \Delta V=(\Delta L)^{2} A / 3 L \)
| 3 |
Physics
|
Which of the following is /are type of reflection?
A. Regular reflection
B. Irregular reflection
c. Diffused reflection
D. All of the above
| 3 |
Physics
|
List I and List II contains four entries
each. Entries of List I are to be
matched some entries of List II. One or
more than one entries of List I may have
the match with the same entry of List II
| 1 |
Chemistry
|
Assertion
Concentrated and not dilute \( \boldsymbol{H}_{2} \boldsymbol{S} \boldsymbol{O}_{4} \)
behaves as a dehydrating agent.
Reason
Concentrated sulphuric acid behaves
as a strong dehydrating agent as the hydration reaction is highly exothermic. It has strong affinity for water removing water molecules from other compounds
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 bullet loses \( \frac{1}{20} \) of its velocity after
penetrating a plank. How many planks are required to stop the bullet?
\( \mathbf{A} \cdot \mathbf{9} \)
B. 11
\( c \cdot 7 \)
D.
| 3 |
Physics
|
Natural processes are:
A. reversible.
B. irreversible.
C. isothermal.
D. adiabatic.
| 3 |
Physics
|
If positive numbers \( x, y, z \) are in \( A . P \) then the minimum value of \( \frac{\boldsymbol{x}+\boldsymbol{y}}{\mathbf{2} \boldsymbol{y}-\boldsymbol{x}}+ \)
\( \frac{y+z}{2 y-z} \) is equal to
| 2 |
Maths
|
Due to an increase of \( 30 \% \) in the price of
eggs, 3 eggs less are available for Rs. 7.80. Find the increased price per
dozen?
A . Rs. 8.64
B. Rs. 8.88
\( c \cdot \) Rs. 9.36
D. Rs. 10.40
| 2 |
Maths
|
Which one of the following metal ion is coloured?
A \( \cdot T i^{2} \)
в. \( C u^{+} \)
c. \( V^{4+} \)
D. \( Z n^{2+} \)
| 1 |
Chemistry
|
A 2.00 g. of sample containing \( N a_{2} C O_{3} \) and \( N a H C O_{3} \) loses 0.248 g when
heated to \( 300^{\circ} \mathrm{C} \), the temperature at
which \( N a H C O_{3} \) decomposes.Find \%
composition of \( N a_{2} C O_{3} \) in the mixture
\( ? \)
| 1 |
Chemistry
|
If the energy \( (\boldsymbol{E}), \) velocity \( (\boldsymbol{v}) \) and force
\( (F) \) be taken as fundamental
quantities, then the dimensions of
mass will be
A. \( F v^{-2} \)
B. \( F v^{-1} \)
\( \mathbf{c} \cdot E v^{-2} \)
D. \( E v^{2} \)
| 3 |
Physics
|
Energy dependent absorption of water against osmotic gradient is
A. Active absorption
B. Passive absorption
c. Imbibition
D. Bulk absorption
| 0 |
Biology
|
A vessel contains air at a temperature
of \( 15^{0} C \) and \( 60 \% \) R.H. What will be the
R.H if it is heated to \( 20^{0} C ? \) (S.V.P at
\( 15^{0} C \) is \( 12.67 \& \) at \( 20^{0} C \) is \( 17.36 \mathrm{mm} \) of
Hg respectively)
A . 262\%
B . 26.2\%
c. \( 44.5 \% \)
D. 46.2\%
| 3 |
Physics
|
A natural number \( x \) is chosen at
random from the first 120 natural
numbers and it is observed to
be divisible by 8 , then the probability that it is not divisible by 6 is
\( A \cdot \frac{1}{3} \)
B.
\( c \cdot \frac{3}{4} \)
D. \( \frac{2}{3} \)
| 2 |
Maths
|
The frequency of alternating current in
India is
A. 50 cylces/s
B. 100 cylces/s
c. 150 cylces/s
D. 200 cylces/s
| 3 |
Physics
|
For absorption and emission spectra of atoms which one of the following particle changes energy levels?
A. Alpha
B. Electron
c. Neutron
D. Photon
E. Proton
| 3 |
Physics
|
\( \mathbf{f} \mathbf{\Delta}=\left|\begin{array}{ccc}\mathbf{1} & \mathbf{5} & \mathbf{6} \\ \mathbf{0} & \mathbf{1} & \mathbf{7} \\ \mathbf{0} & \mathbf{0} & \mathbf{1}\end{array}\right| \) and \( \Delta^{\prime}=\left|\begin{array}{ccc}\mathbf{1} & \mathbf{0} & \mathbf{1} \\ \mathbf{3} & \mathbf{0} & \mathbf{3} \\ \mathbf{4} & \mathbf{6} & \mathbf{1 0 0}\end{array}\right| \)
then
A \( \cdot \Delta^{2}-3 \Delta^{\prime}=0 \)
B. \( \left(\Delta+\Delta^{\prime}\right)^{2}-3\left(\Delta+\Delta^{\prime}\right)+2=0 \)
c. \( \left(\Delta+\Delta^{\prime}\right)^{2}+3\left(\Delta+\Delta^{\prime}\right)+5=0 \)
D. \( \Delta+3 \Delta^{\prime}+1=0 \)
| 2 |
Maths
|
n Fig. \( P Q R \) is an equilateral
triangle. Arcs have been drawn with
radii \( 14 \mathrm{cm} \) each and with centres \( \boldsymbol{P}, \boldsymbol{Q} \)
and \( R \). The area of the shaded region is
A \( \cdot 102.6 \mathrm{cm}^{2} \)
B \( .206 \mathrm{cm}^{2} \)
\( \mathbf{c} \cdot 308 \mathrm{cm}^{2} \)
D. \( 345 \mathrm{cm}^{2} \)
| 2 |
Maths
|
The ratio of the radii of gyration of the disc about its axis and about a tangent perpendicular to its plane will be:
A \( \cdot \frac{1}{\sqrt{3}} \)
в. \( \sqrt{\frac{3}{2}} \)
c. \( \frac{1}{\sqrt{2}} \)
D. \( \sqrt{\frac{5}{3}} \)
| 3 |
Physics
|
Find the points of intersection of the
line \( x-y+2=0 \) and the circle \( 2 x^{2}+ \)
\( 2 y^{2}-29 x-19 y+56=0 . \) Also
determine the length of the chord intercepted.
| 2 |
Maths
|
The overall formation constant for the
reaction of 6 mole of \( C N^{-} \) with cobalt
(II) is \( 1 \times 10^{19} . \) Given that
\( \boldsymbol{C o}(\boldsymbol{C N})_{\boldsymbol{6}}^{\boldsymbol{3}-}+\boldsymbol{e} \rightarrow \boldsymbol{C o}(\boldsymbol{C N})_{\boldsymbol{6}}^{\boldsymbol{4}-} ; \boldsymbol{E}_{\boldsymbol{R} \boldsymbol{P}}^{\boldsymbol{o}}= \)
\( -0.83 V \)
\( \boldsymbol{C o}^{3+}+\boldsymbol{e} \rightarrow \boldsymbol{C o}^{2+} ; \boldsymbol{E}_{R P}^{o}=\mathbf{1 . 8 2} \boldsymbol{V} \)
If the formation constant for the
reaction of 6 mole of \( C N^{-} \) with cobalt
(III) is \( x \times 10^{63} \) then \( 100 x \)
is
| 1 |
Chemistry
|
If \( y \) and \( z \) are the functions of \( x \) and if \( \boldsymbol{y}^{2}+\boldsymbol{z}^{2}=\boldsymbol{\lambda}^{2}, \) then \( \boldsymbol{y} \frac{\boldsymbol{d}}{\boldsymbol{d} \boldsymbol{x}}\left(\frac{\boldsymbol{y}}{\boldsymbol{\lambda}}\right)+ \)
\( \frac{d}{d x}\left(\frac{z^{2}}{\lambda}\right) \) is equal to
A \( \cdot \frac{z}{\lambda} \frac{d z}{d x} \)
B. \( \frac{z}{\lambda} \frac{d x}{d z} \)
c. \( \frac{\lambda}{z} \frac{d z}{d x} \)
D. None of these
| 2 |
Maths
|
Do electromagnetic waves carry energy
and momentum?
| 3 |
Physics
|
A man spinning in free space changes the shape of his body, eg. by spreading his arms or curling up. By doing this, he can change his :
This question has multiple correct options
A. moment of inertia
B. angular momentum
c. angular velocity
D. rotational kinetic energy
| 3 |
Physics
|
nace
resistance \( 2 \Omega \) is connected with two
resistors \( A \) and \( B \) of resistance \( 4 \Omega \) and
\( 6 \Omega \) respectivelyjoined in series. Find:
(i) Current in the circuit.
(ii) The terminal voltage of the cell.
(iii) The potential difference across \( 6 \Omega \)
Resistor.
(iv) Electrical energy spent per minute
in \( 4 \Omega \) Resistor.
| 3 |
Physics
|
Why does \( H e \) exist whereas \( H e_{2} \) does
not?
| 1 |
Chemistry
|
As the carbon chain increases in
aldehyde and ketone compounds, solubility in water:
A . decreases
B. increases
c. may increase
D. may decrease
| 1 |
Chemistry
|
Photorespiration takes place only in
A. Lysosomes of plant cell
B. Yellow parts of the plant
c. Mitochondria of plant cell
D. None of the above
| 0 |
Biology
|
Which has maximum ionisation
potential?
A. \( N \)
в. \( O \)
\( c \cdot O^{+} \)
D. \( N a \)
| 1 |
Chemistry
|
Fill in the blank.
If \( 100 \mathrm{mL} \) of \( S O_{2} \) solution requires 50 \( \mathrm{mL} \) of \( 0.01 \mathrm{M} C r_{2} O_{7}^{2-} \) in acidic
medium, then \( S O_{2} \) solution is
\[
\mathbf{1 0}^{-\mathbf{3}} \mathbf{M}
\]
| 1 |
Chemistry
|
Find the initial velocity of projection of a ball thrown vertically up if the distance moved by it in \( 3^{r d} \) second is twice the
distance covered by it in 5th second. (Take \( \left.g=10 \mathrm{m} s^{-2}\right) \)
A. \( 85 \mathrm{m} s^{-1} \)
B. 75 \( \mathrm{m} s^{-1} \)
c. \( 65 \mathrm{m} s^{-1} \)
D. \( 95 \mathrm{m} s^{-1} \)
| 3 |
Physics
|
Due to air a falling body faces a resistive force proportional to square of velocity \( v, \) consequently its effective
downward acceleration is reduced and
is given by \( a=g-k v^{2} \) where \( k= \)
\( 0.002 m^{-1} . \) The terminal velocity of the
falling body is \( (\operatorname{in} \mathrm{m} / \mathrm{s}) \)
A . 60
B. 70
c. 80
D. 90
| 3 |
Physics
|
The sum of the squares of deviations of
a set of values is minimum when taken
about
A . \( A M \)
в. \( G M \)
с. \( H M \)
D. median
| 2 |
Maths
|
These questions consist of two statements each, printed as assertion and reason. While answering these questions you are required to choose anyone of the following five responses.
Assertion: Ozone is powerful oxidising
agent in comparison to \( \boldsymbol{O}_{\mathbf{2}} \)
Reason: Ozone is diamagnetic but \( \boldsymbol{O}_{2} \)
is paramagnetic.
A. If both assertion and reason are true and the reason is correct explanation of the assertion
B. If both assertion and reason are true but reason is not correct explanation of the assertion
c. If the assertion is true but reason is false
D. If both the assertion and reason are false
E. If the assertion is false but the reason is true
| 1 |
Chemistry
|
The space between cornea and eye lens is filled with a liquid known as:
A. aqueous humour
B. vitreous humour
c. corneal fluid
D. none of these
| 3 |
Physics
|
At perihelion, the gravitational potential energy of Pluto in its orbit has
A. its maximum value
B. its mimimum value
c. the same value as at every other point in the orbitt
D. value which depends on sense of rotation
| 3 |
Physics
|
Camphor can be separated using:
A. distillation
B. sublimation
C. fractional distillation
D. centrifugation
| 3 |
Physics
|
Insoluble impurities from solution during crystallization are removed by :
A. drying
B. filtration
c. heating
D. cooling
| 1 |
Chemistry
|
In higher plants, continuity of
cytoplasm from one cell to its neighboring cells is established through the
A. Apoplast
B. Chloroplast
c. Leucoplast
D. symplast
| 0 |
Biology
|
Which is formed when
\( K_{2} C r_{2} O_{7}, C a C l_{2}, \) and conc. \( H_{2} S O_{4} \) are
heated?
\( \mathbf{A} \cdot C r_{2}\left(S O_{4}\right) \)
в. \( C r C l_{3} \)
\( \mathrm{c} \cdot \mathrm{Cr} \mathrm{O}_{2} \mathrm{Cl}_{2} \)
D. \( K_{2} C r O_{4} \)
| 1 |
Chemistry
|
Which of the following segments has photoreceptors in cockroach?
A. Head
B. Abdomen
c. Thorax
D. None of the above
| 0 |
Biology
|
Silk, honey and lac are.
A. Secretory products of animalss
B. Secretory products of plants.
c. Synthetic chemicals
D. Both A and C
| 1 |
Chemistry
|
What will the course of action if a
person goes through a kidney failure
| 0 |
Biology
|
Which of the following has more inertia
\( ? \)
A rubber ball or a stone of the same size
| 3 |
Physics
|
The three vertices of a parallelogram taken in order are (-1,0),(3,1) and (2,2) respectively.Find the coordinates of the fourth vertex
| 2 |
Maths
|
An example of an equipotential surface
in earth is
A. A line passing through the centre of the earth connecting two points along the diameter
B. A plane that passes through the circular section of the hemisphere of the earth
C. A spherical surface at a distance of 1km from the surface of the earth with its centre at centre of earth
D. A plane on the surface of the earth, which is a tangent to the earth
| 3 |
Physics
|
The uses of ammonia is/are:
A. manufacture of Explosives
B. manufacture of Plastics and Raisins
\( \mathrm{C} \). it is a main source of hydrogen
D. all of the above
| 1 |
Chemistry
|
Match the geometry (given in column A) with the complexes (given in column B)
Geometry : A Complex : B
I: Octahedral
\[
\mathrm{P}:\left[N i(C N)_{4}\right]^{2}
\]
\( \| \)
Square planar
\[
\mathrm{Q}: N i(C O)_{4}
\]
III. Tetrahedral \( \mathrm{R}:\left[F e(C N)_{6}\right]^{4-} \)
A. I-P, II-Q, III-R
B. I-R, II-P, III-Q
c. ।-R, ॥-Q, ॥|-P
D. I-Q, II-P, III-R
| 1 |
Chemistry
|
The north poles of pole strengths \( \mathrm{m}, 9 \mathrm{m} \) are kept apart by a certain distance. Find the distance of full point from
larger pole.
A \( \cdot \frac{3 d}{4} \)
в. \( \frac{3 d}{8} \)
c. \( \frac{3 d}{16} \)
D. \( \frac{3 d}{2} \)
| 3 |
Physics
|
\( \lim _{x \rightarrow 0} \frac{\sin \left(\pi \cos ^{2} x\right)}{x^{2}}= \)
| 2 |
Maths
|
The continuity of water column in xylem is maintained due to
A. Evaporation of water
B. Cohesive property of water
c. Pressure of air bubbles in water
D. Small size of xylem vessels
| 0 |
Biology
|
Resistivity of pure metal is:
A. less than alloys
B. more than alloys
c. equal to alloys
D. unpredictable
| 3 |
Physics
|
The prefix zepto stands for:
[Note : unit in \( \mathrm{m}] \)
A \( \cdot 10^{9} \)
B. \( 10^{-12} \)
\( \mathbf{c} \cdot 10^{-15} \)
D. \( 10^{-21} \)
| 1 |
Chemistry
|
If \( S_{0}, S_{1}, S_{2} \) and \( S_{3} \) are the solubilities
in water of \( \boldsymbol{A} \boldsymbol{g} \boldsymbol{C l} \)
\( \mathbf{0 . 0 1} \boldsymbol{M} \boldsymbol{C a C l}_{2}, \mathbf{0 . 0 1} \boldsymbol{M} \boldsymbol{N a C l} \) and
\( \mathbf{0 . 5} \boldsymbol{M} \boldsymbol{A} \boldsymbol{g} \boldsymbol{N} \boldsymbol{O}_{3} \) solutions, respectively
then which of the following is true?
A \( . S_{0}>S_{2}>S_{1}>S_{3} \)
B. \( S_{0}=S_{2}=S_{1}>S_{3} \)
c. \( S_{3}>S_{1}>S_{2}>S_{0} \)
D. none of these
| 1 |
Chemistry
|
The equation \( y=4 \sin \pi\left[200 t-\left(\frac{x}{25}\right)\right] \)
represents a transverse wave that
travels in a stretched wire, where \( \boldsymbol{x}, \boldsymbol{y} \)
are in \( c m \) and \( t \) in second.
Its wavelength and velocity are
A \( \cdot 0.5 m, 25 m s^{-1} \)
B . \( 0.5 m, 50 m s^{-1} \)
c. \( 1 m, 50 m s^{-1} \)
D. \( 1 m, 25 m s^{-1} \)
| 3 |
Physics
|
Find the radius of the circle whose
circumference is \( 44 \mathrm{cm} .(\pi=22 / 7) \)
| 2 |
Maths
|
Cadmium rods are used as moderators
in a nuclear reactor
A. True
B. False
| 3 |
Physics
|
If radius of circle is \( 5 \mathrm{cm} \) and distance
from centre to the point of intersection of 2 tangents in \( 13 \mathrm{cm} . \) Find length of
tangent.
A . \( 11 \mathrm{cm} \)
B. \( 10 \mathrm{cm} \)
c. \( 12 \mathrm{cm} \)
D. \( 13 \mathrm{cm} \)
| 2 |
Maths
|
Boric acid is polymeric due to
A. its acidic nature
B. presence of H-bonds
C. its monobasic nature
D. its geometry
| 1 |
Chemistry
|
\( x-t \) equation of a particle in SHM is,
\( \boldsymbol{x}=\mathbf{4}+\mathbf{6} \sin \boldsymbol{\pi} \boldsymbol{t} \)
Match the following tables corresponding to time taken in moving from:
| 3 |
Physics
|
At \( t=0, \) a force \( F=k t \) is applied on a
block making an angle \( \alpha \) with the horizontal. Assume surfaces to be
smooth. Find the velocity of the body at the time of breaking off the plane:
\( ^{A} \cdot \frac{m g \cos \alpha}{2 k \sin \alpha} \)
B. \( \frac{m^{2} g^{2} \cos \alpha}{2 k \sin ^{2} \alpha} \)
c. \( \frac{m g^{2} \cos \alpha}{2 k \sin ^{2} \alpha} \)
D. \( \frac{m g^{2} \cos \alpha}{2 k \sin \alpha} \)
| 3 |
Physics
|
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