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STATEMENT-1: Silver extraction is done
by dissolving its ore into cyanide solution.
STATEMENT-2: In cyanide process, the silver is precipitated from soluble
complex of silver of zinc-dust.
A. STATEMENT-1 is True, STATEMENT-2 is True STATEMENT-2 is a correct explanation for STATEMENT-
B. STATEMENT-1 is True, STATEMENT-2 is True:
STATEMENT-2 is NOT a correct explanation for STATEMENT-1
c. STATEMENT-1 is True, STATEMENT-2 is False
D. STATEMENT-1 is False, STATEMENT-2 is True
| 1 |
Chemistry
|
An object of radius 'R' and mas 'M' is rolling horizontally without slipping with speed 'V'. It the rolls up the hill to a
maximum height \( \boldsymbol{h}=\mathbf{3} \boldsymbol{v}^{2} / \mathbf{4} \boldsymbol{g} \). The
moment of inertia of the object is:
(ge eceleration due to gravity)
\( ^{\mathbf{A}} \cdot \frac{2}{5} M R^{2} \)
в. \( \frac{M R^{2}}{2} \)
c. \( M R^{2} \)
D. \( \frac{3}{2} M R^{2} \)
| 3 |
Physics
|
What is tricarboxylic acid cycle? Describe its different steps.
| 0 |
Biology
|
Select the correct schematic
representation of blood circulation in
human from the followings
\( A \)
\( B \)
\( c \)
\( D \)
| 0 |
Biology
|
Few pairs of molecule are given below. Which bond of the molecule of the pair
is more polar?
(i) \( \quad H_{3} C-H, H_{3} C-B r \)
(ii) \( \quad H_{3} C-N H_{2}, H_{3} C-O H \)
(iii) \( \boldsymbol{H}_{3} \boldsymbol{C}-\boldsymbol{O} \boldsymbol{H}, \boldsymbol{H}_{3} \boldsymbol{C}-\boldsymbol{S} \boldsymbol{H} \)
(iv) \( \boldsymbol{H}_{3} \boldsymbol{C}-\boldsymbol{C l}, \boldsymbol{H}_{3} \boldsymbol{C}-\boldsymbol{B r} \)
A. \( C-B r, C-N, C-O, C-B r \)
в. \( C-B r, C-O, C-O, C-C l \)
c. \( C-B r, C-N, C-S, C-C l \)
D. \( C-B r, C-O, C-S, C-B r \)
| 1 |
Chemistry
|
Initially the spheres \( A \) and \( B \) are at
potential \( V_{A} \) and \( V_{B} \) respectively. Now
sphere \( \mathrm{B} \) is earthed by closing the
switch. The potential of \( A \) will now
become:
\( A \)
B. \( V_{A} \)
\( \mathbf{c} \cdot V_{A}-V_{B} \)
D. \( V_{B} \)
| 3 |
Physics
|
If a particle moves according to the law, \( s=6 t^{2}-\frac{t^{3}}{2}, \) then the time at which it
is momentarily at rest
A. \( t=0 \) only
B. \( t=8 \) only
c. \( t=0,8 \)
D. none of these
| 2 |
Maths
|
The potential at \( P \) due to induced
charge is
\( ^{\text {A }} \cdot_{K q}\left(\frac{1}{r_{1}}-\frac{1}{r_{2}}\right) \)
в. \( _{K q}\left(\frac{1}{r_{1}}+\frac{1}{r_{2}}\right) \)
\( ^{\text {c. }} K q\left(-\frac{1}{r_{1}}+\frac{1}{r_{2}}\right) \)
D. \( \frac{K q}{r_{1}} \)
| 3 |
Physics
|
Variation of equilibrium constant K for the reaction \( ; 2 A(s)+B(g) \rightleftharpoons \)
\( C(g)+2 D(g) \) is plotted against
absolute \( \mathrm{T} \) in figure as- \( \ln \boldsymbol{K} \boldsymbol{V} \boldsymbol{s}(\mathbf{1} / \boldsymbol{T}) \)
This question has multiple correct options
A. the forward reaction is exothermic
B. the forward reaction is endothermic
c. the slope of line is proportional to \( \Delta H \)
D. adding 'A' 'favours forward reaction
E. removing C favours forward reaction
| 1 |
Chemistry
|
Calculate the mass and volume at NTP
of hydrogen and chlorine that will be formed by passing 10,000 coulomb of charge through an aqueous solution of potassium chloride. The cell reaction is:
\( 2 K C l+2 H O H \rightarrow 2 K O H+C l_{2}+ \)
\( \boldsymbol{H}_{2} \)
| 1 |
Chemistry
|
The freezing point depression constant
for water is \( -1.86^{0} \mathrm{Cm}^{-1} . \) If \( 5.00 \mathrm{g} \)
\( N a_{2} S O_{4} \) is dissolved in 45.0 g \( H_{2} O, \) the
freezing point is changed by \( 3.82^{0} C \)
Calculate the vant Hoff factor for
\( N a_{2} S O_{4} \)
A . 2.05
B . 2.63
c. 3.11
D. 0.381
| 1 |
Chemistry
|
Amphoteric oxides are:
\( \mathbf{A} \cdot S n O, S n O_{2} \)
\( \mathbf{B} \cdot G e O, G e O_{2} \)
C. both (a) and (b)
D. None of these
| 1 |
Chemistry
|
If the angle between the pass axis of the polarizer and the analyzer is 45 the ratio of the intensities of original
light and the transmitted light after passing through the analyzer is
A \( \cdot \frac{I}{2} \)
B. \( \frac{1}{3} \)
\( c \)
D. \( \frac{I}{4} \)
| 3 |
Physics
|
Convex lens
A. Shrinks the image
B. Magnifies the image
C. sharpens the image
D. Increase the contrast of the image
| 3 |
Physics
|
Which of the following statements
about histones is not true?
A. Histones are very similar between species
B. Histones have many basic amino acids
C. Histones are rich in lysine and arginine
D. Each histone has one single gene that codes for it
| 0 |
Biology
|
Which of the following is the main factor of water pollution?
A. Smoke
B. Industrial waste
c. Detergent
D. Ammonia
| 1 |
Chemistry
|
Which of the following statements is/are correct ?
a) The magnitude of the vector \( \hat{\mathbf{i}}+4 \hat{\mathbf{j}} \) is
5
b) Force \( (3 \hat{\mathrm{i}}+4 \hat{\mathrm{j}}) \mathrm{N} \) acting on a particle causes a displacement 6jิm. The work done by the force is 30
c) If \( \vec{A} \) and \( \vec{B} \) represent two adjacent sides of a parallelogram, then \( |\overrightarrow{\mathbf{A}} \times \overrightarrow{\mathbf{B}}| \) gives the perimeter of that parallelogram
d) A force has magnitude 20N. Its component in a direction making an angle \( 60^{0} \) with the force is \( 10 \sqrt{3} \mathrm{N} \)
A . a \& b are correct
B. a \& c are correct
c. a \( \& \mathrm{d} \) are correct
D. all are wrong
| 3 |
Physics
|
All conventional modern thermonuclear
warheads are also called as
A. fission-fusion-fission
B. Neutron bombs
c. cobalt bombs
D. three stage bomb
| 3 |
Physics
|
Example for an improper fraction is
A \( \cdot \frac{25}{26} \)
в. \( \frac{12}{13} \)
c. \( \frac{15}{14} \)
D. \( \frac{19}{20} \)
| 2 |
Maths
|
One gram mol of helium at \( 27^{0} \mathrm{C} \) is
mixed with three gram mols of oxygen
at \( 127^{0} \mathrm{C} \) at constant pressure. If there is
no exchange of heat with the atmosphere then the final temperature will be
\( A \cdot 375 K \)
в. 175k
c. \( 475 \mathrm{k} \)
D. 575K
| 3 |
Physics
|
Check whether \( 6 x^{3}+x^{2}=2 \) is
a quadratic equations
| 2 |
Maths
|
Which of the following statement is
correct?
A. Liquids obey partially the Ohm's law
B. Liquids fully obeys the Ohm's law
C. Liquid do not obeys the Ohm's law
D. None of the above
| 3 |
Physics
|
A student focused the image of a
distant object using a device 'X' on a white screen 'S' as shown in the figure. If the distance of the screen from the
device is \( 40 \mathrm{cm}, \) select the correct statement about the device.
A. The device X is a convex lens of focal length 20 cm
B. The device X is a concave mirror of focal length \( 40 \mathrm{cm} \)
c. The device \( x \) is a concave mirror of radius of curvature
\( 40 \mathrm{cm} \)
D. The device X is a convex lens of focal length \( 40 \mathrm{cm} \)
| 3 |
Physics
|
Plot the following point in the rectangular coordinate system \( \boldsymbol{C}(-\mathbf{2},-\mathbf{3}) \)
| 2 |
Maths
|
The compound which is formed after sharing of a pair of electrons is called
A. ionic compound
B. atomic compound
c. covalent compound
D. None of these
| 1 |
Chemistry
|
The two equilibrium \( \boldsymbol{A B} \leftrightharpoons \boldsymbol{A}^{+}+\boldsymbol{B}^{-} \)
and \( A B+B^{-} \leftrightharpoons A B_{2}^{-} \) are
simultaneously maintained in a
solution with equilibrium constant \( \boldsymbol{K}_{\mathbf{1}} \)
and \( K_{2} \) respectively. The ratio of \( \left[A^{+}\right] \) to
\( \left[A B_{2}^{-}\right] \) in the solution is:
A. directly proportional to the concentration of \( B \)
B . inversely proportional to the concentration of \( B \)
c. directly proportional to the square of the concentration of \( B \)
D. inversely proportional to the square of the concentration of \( B \)
| 1 |
Chemistry
|
After attaining puberty, the boys develop a voice.
A. Heavy
B. Light
c. Thinner
D. High pitched
| 0 |
Biology
|
At a given temperature, total vapour pressure (in torr) of a mixture of volatile
components \( A \) and \( B \) is given by \( P_{T o t a l}=120-75 X_{B} \) hence, the vapour
pressure of pure \( A \) and \( B \) respectively (in Torr) are:
A .120,75
в. 120,195
c. 120,45
D. 75,45
| 1 |
Chemistry
|
Figure shows a fixed wedge on which two blocks of masses 2 kg and 3 kg are placed on its smooth inclined surfaces.
When the two blocks are released from
rest, find the acceleration of centre of
mass of the two blocks
| 3 |
Physics
|
Which one exception, each of the following units can be used to express mass. What is the exception?
A. Newton
B. Gram
c. kilogram
D. \( N s^{2} / m \)
| 3 |
Physics
|
Bacteria and fungi are best classified
as
A. Scavengers
B. Primary consumers
c. secondary consumers
D. Decomposers
| 0 |
Biology
|
Due to refraction, when seen from
outside, a coin placed under water in a
bowl, appears to
A. go down
B. come up
c. stay where it is
D. move toward left
| 3 |
Physics
|
Which of the following is regarded as a unit of nervous tissue?
A. Axons
B. Dendrites
c. Neurons
D. Myelin sheath
| 0 |
Biology
|
f \( n(A \cup B)=8, n(A)=6, n(B)=4 \)
\( \operatorname{then} n(A \cap B)= \)
\( A \cdot 2 \)
B. 4
\( c \cdot 6 \)
\( D \)
| 2 |
Maths
|
When a sound wave of wavelength \( \lambda \) is propagating in a medium the maximum velocity of the particle is equal to wave velocity. The amplitude of the wave is
\( A \cdot \lambda \)
B. \( \frac{\lambda}{2} \)
\( c \cdot \frac{\lambda}{2 \pi} \)
D. \( \frac{\lambda}{4 \pi} \)
| 3 |
Physics
|
The process of separation of an organic
compound from its aqueous solution
by shaking with a suitable solvent is termed solvent extraction or differential
extraction.
The organic compound present in
aqueous layer moves to the organic
solvent because:
A. the organic substance is more soluble in the organic solvent
B. organic compound being lighter moves in the upper layer
c. organic solvent is insoluble in water hence organic compound moves up
D. from the supersaturated aqueous solution the solute starts diffusing
| 1 |
Chemistry
|
Which of the following depicts Mendel's dihybrid ratio?
\( A \cdot 3: \)
B. 9: 3: 3: 1
c. 9: 7
D. 15:
| 0 |
Biology
|
Classify the following function as injection, surjection or bijection:
\( \boldsymbol{f}: \boldsymbol{N} \rightarrow \boldsymbol{N} \) given by \( \boldsymbol{f}(\boldsymbol{x})=\boldsymbol{x}^{2} \)
| 2 |
Maths
|
Energy in the sun is due to
A. Fossil fuels
B. Radioactivity
c. Fission
D. Fusion
| 3 |
Physics
|
What are the chief pollutants of the atmosphere, which are most likely to deplete the ozone layer?
A. Sulphur dioxide
B. Nitrogen oxide and Fluorocarbons
c. Carbon dioxide
D. Carbon monoxide
| 0 |
Biology
|
Reactivity order for SN1
(i) \( C H_{3}-\underset{C l}{C} H-C H_{2}-C H_{3} \)
(ii) \( \boldsymbol{P h}-\boldsymbol{C H}_{3}-\underset{C l}{\boldsymbol{C} \boldsymbol{H}-\boldsymbol{C H}_{3}} \)
(iii) \( C H_{3}-\quad \begin{array}{c}C l \\ \ \\ 0 \\ 0 C H_{3}\end{array}-C H_{3} \)
(iv) \( \boldsymbol{C H}_{3}-\boldsymbol{C H}_{2}-\boldsymbol{C H}_{2}-\boldsymbol{C l} \)
A. \( i>i i>i i i>i v \)
в. \( i i>i> \) ii \( i>i v \)
c. \( i i>i i>i>i v \)
D . \( i v>i i i>i i>i \)
| 1 |
Chemistry
|
Complete the table given below
\( \begin{array}{ll}\text { No. of } & \text { No. of } \\ \text { Protons } & \text { Electr }\end{array} \) No. of Electrons Neutror
\( _{13}^{35} C l \)
\[
_{17}^{37} C l
\]
| 1 |
Chemistry
|
Solve: \( \int \frac{x^{2}-1}{x^{3} \sqrt{2 x^{4}-2 x^{2}+1}} d x \) is equal
to
A \( \cdot \frac{\sqrt{2 x^{4}-2 x^{2}+1}}{x^{2}}+C \)
B. \( \frac{\sqrt{2 x^{4}-2 x^{2}+1}}{x^{3}}+C \)
c. \( \frac{\sqrt{2 x^{4}-2 x^{2}+1}}{x}+C \)
D. \( \frac{\sqrt{2 x^{4}-2 x^{2}+1}}{2 x^{2}}+C \)
| 2 |
Maths
|
Among the methods for extracting metals from their ores, i.e., 1. roasting a metal sulphide, 2. chemical reduction of a metal oxide, and 3. electrolysis, the
preferred method depends on \( E^{\circ} \) value for the reducing half-reaction:
\( \boldsymbol{M}^{n+}(\boldsymbol{a q})+\boldsymbol{n} \boldsymbol{e}^{-} \rightarrow \boldsymbol{M}(\boldsymbol{s}) \)
What are the criteria of selection of a
good reducing agent for extraction of
metals?
| 1 |
Chemistry
|
Which of the following is not an element?
A. 22 caratgold
B. Graphite
c. Diamond
D. Rhombic sulphur
| 1 |
Chemistry
|
Assertion
Bohr had to postulate that the electrons in stationary orbits around the nucleus
do not radiate.
Reason
According to classical physics all moving electrons radiate.
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
| 3 |
Physics
|
The ratio of height of a mercury column in a barometer at a place to the height of the liquid column at the same place
are \( 1: 4 . \) Find the density of the liquid
| 3 |
Physics
|
Two identical uniform solid spherical
balls \( A \) and \( B \) of mass \( m \) each are placed
on a the fixed wedge as shown in figure.
Ball B is kept at rest and it is released just before two balls collides. Ball A rolls
down without slipping on inclined plane and collide elastically with ball B. The kinetic energy of ball Ajust after the collision with ball B is:
A \( \cdot \frac{m g h}{7} \)
в. \( \frac{m g h}{2} \)
c. \( \frac{2 m g h}{5} \)
D. \( \frac{7 m g h}{5} \)
| 3 |
Physics
|
In general, metals have very low:
A. Boiling Point
B. Freezing Point
c. Melting Point
D. Specific Heat Capacity
| 3 |
Physics
|
the intrinsic semiconductor at room
temperature is
| 3 |
Physics
|
In \( \triangle A B C, X Y \| B C \) and \( X Y \) divides the triangle into two parts of equal areas. Find \( \left(\frac{B X}{A B}\right) \)
| 2 |
Maths
|
Given below are two reaction of water
with sodium and carbon dioxide, what is the nature of water in these reaction?
\( (\mathrm{i}) 2 N a+2 H_{2} O \rightarrow 2 N a O H+H_{2} \)
\( (\mathrm{ii}) 6 \mathrm{CO}_{2}+12 \mathrm{H}_{2} \mathrm{O} \rightarrow \mathrm{C}_{6} \mathrm{H}_{1} 2_{6}+ \)
\( \mathbf{6} \boldsymbol{H}_{2} \boldsymbol{O}+\mathbf{6} \boldsymbol{O}_{2} \)
A . In (ii) water acts as an oxidising agent and in (i) it acts as a reducing agent
B. In (i) water acts as an oxidising agent and in (ii) it acts as a reducing agent
c. In both (i) and
(ii) hydrogen acts as a reducing agent
D. In both (i) and (ii) hydrogen acts as an oxidizing agent
| 1 |
Chemistry
|
The technique of protecting a metal from
corrosion by connecting it to a second metal (that is more easily oxidized) is
called:
A. galvanization
B. anodic protection
C . cathodic protection
D. sacrificial protection
| 1 |
Chemistry
|
Which of the following is a disaccharide?
A. sucrose
B. Maltose
c. Lactose
D. All of the above
| 1 |
Chemistry
|
Calculate the magnification of an
object if it is kept at a distance of \( 3 c m \) from a concave mirror of focal length
\( 4 c m: \)
A . 3
B. 6
c. 9
\( D \)
| 3 |
Physics
|
Find the odd one out for the example of natural air pollutant.
A. pollen, spores
B. Insecticides
c. volcanic gases
D. agricultural burning
| 0 |
Biology
|
Find the area of parallelogram whose
base is \( 48 \mathrm{cm} \) and height is \( 25 \mathrm{cm} \)
| 2 |
Maths
|
\( \frac{1}{8} \)
| 3 |
Physics
|
Which among the following statement is true about the work done in bringing
a unit positive charge from point \( P \) to \( Q \)
in an electrostatic field?
A. Minimum work is done in case of path II
B. Maximum work is done in case of path1
c. Work done is same in all the three paths
D. Work done is zero in case of path
| 3 |
Physics
|
Find a unit vector perpendicular to each of the vectors \( \vec{a}+\vec{b} \) and \( \vec{a}-\vec{b} \) where \( \vec{a}=3 \hat{i}+2 \hat{j}+2 \hat{k} \) and \( \vec{b}=\hat{i}+2 \hat{j}-2 \hat{k} \)
| 2 |
Maths
|
The pH of solution containing \( 0.10 M \)
sodium acetate and \( 0.03 M \) acetic acid
is: \( \left(p K_{a} \text { for } C H_{3} C O O H=4.57\right) \)
A . 4.09
B. 6.09
c. 5.09
D. 7.09
| 1 |
Chemistry
|
The magnetic susceptibility of an ideal diamagnetic substance is
A . -
B.
\( c \cdot+1 \)
\( D \cdot \alpha \)
| 3 |
Physics
|
Compound with a molecular formula
\( C_{7} H_{16} \) will have:
A. single covalent bond only
B. at least one double bond
c. at least one triple bond
D. single bond as well as double bond both
| 1 |
Chemistry
|
How anisole reacts with bromine in
ethanoic acid? Write the chemical
equation for the reaction.
| 1 |
Chemistry
|
Assertion
Reduciton potential value of \( \left(\boldsymbol{E}^{\circ}\right) \) of \( \mathbf{0} \)
benzoquine (I) is greater than pbezoquinone (II)
Reason
Two adjacent (C=0) groups in (I)
destablise (I) relative to (II).
o-benzoquinone p-benzoquinone
\( (\mathrm{I}) \)
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
|
One mole of an ideal monoatomic gas is
heated at a constant pressure from 0 to
100. Then the change in the internal energy of the gas is:
\( \left(\text { Given }, \boldsymbol{R}=\mathbf{8 . 3 2} \boldsymbol{J} \boldsymbol{m o l}^{-1} \boldsymbol{K}^{-1}\right) \)
A \( \cdot 0.83 \times 10^{3} J \)
в. \( 4.6 \times 10^{3} J \)
c. \( 2.08 \times 10^{3} J \)
D. \( 1.25 \times 10^{3} J \)
| 1 |
Chemistry
|
A harmonically moving transverse wave on a string has a maximum particle velocity and acceleration of \( 3 \mathrm{m} / \mathrm{s} \) and
\( 90 \mathrm{m} / \mathrm{s}^{2} \) respectively. Velocity of the wave is \( 20 \mathrm{m} / \mathrm{s} \). Find the waveform.
A \( \cdot y=(10 \mathrm{cm}) \sin \left(30 t \pm \frac{3}{2} x+\phi\right) \)
B. \( y=(20 c m) \sin \left(30 t \pm \frac{3}{2} x+\phi\right) \)
c. \( y=(10 \mathrm{cm}) \sin \left(60 t \pm \frac{3}{2} x+\phi\right) \)
D. \( y=(20 \mathrm{cm}) \sin \left(60 t \pm \frac{3}{2} x+\phi\right) \)
| 3 |
Physics
|
Which of the following process helps in the absorption of nutrients in amoeba?
A. Assimilation
B. Engulfment
c. Digestion
D. Excretion
| 0 |
Biology
|
Choose the correct answers from the
alternatives given :
In a eukaryotic cell, most of the
enzymes of the Krebs cycle are located
in the
A. intermembrane space
B. mitochondrial matrix
c. inner mitochondrial membrane
D. plasma membrane
| 0 |
Biology
|
The normal systolic and diastolic
pressure in human beings is
A. \( 80 / 120 \mathrm{mm} \) of \( \mathrm{Hg} \)
B. 130/90 mm of Hg
c. \( 120 / 80 \mathrm{mm} \) of \( \mathrm{Hg} \)
D. 140/80 mm of Hg
| 0 |
Biology
|
In acid buffer solution \( (\mathrm{pH}=4.4), \) the ratio of concentrations of acid to salt
is \( 2: 1 . \) The value of dissociation
constant of weak acid may be:
A \( \cdot 1.8 \times 10^{-4} \)
В. \( 2 \times 10^{-7} \)
c \( .4 \times 10^{-5} \)
D. \( 2 \times 10^{-5} \)
| 1 |
Chemistry
|
Why \( Z n^{2+} \) is diamagnetic whereas
\( C r^{3+} \) is paramagnetic?
| 1 |
Chemistry
|
List changes in the body that take place
at puberty.
| 0 |
Biology
|
A woman dancing in high-heeled shoes accidentally steps on her partner's foot with the heel of her shoe. Even though her partner outweighs her by \( 400 \mathrm{N} \) and can easily lift her off the floor, he feels pain because:
A. her weight is concentrated into a small area
B. her small foot has a large momentum
c. her foot has a large inertia
D. his foot has no inertia
| 3 |
Physics
|
Stenohaline fishes are represented by
A. Fresh water fishes only
B. Marine fishes only
C. Those which can tolerate a narrow range of salinity in water only
D. Those which can tolerate a wide range of salinity in water
| 0 |
Biology
|
\( \frac{x^{2}+1}{\left(x^{2}+2\right)\left(2 x^{2}+1\right)}= \)
\( k\left[\frac{1}{x^{2}+2}+\frac{1}{2 x^{2}+1}\right] \Rightarrow k= \)
\( A \cdot \frac{1}{4} \)
B. 3
\( c \cdot \frac{1}{5} \)
D.
| 2 |
Maths
|
If \( \overline{\boldsymbol{p}}=\hat{\boldsymbol{i}}-\boldsymbol{2} \hat{\boldsymbol{j}}+\hat{\boldsymbol{k}} \) and \( \overline{\boldsymbol{q}}=\hat{\boldsymbol{i}}+\boldsymbol{4} \hat{\boldsymbol{j}}-\boldsymbol{2} \hat{\boldsymbol{k}} \)
are position vectors of points \( \boldsymbol{P} \) and \( \boldsymbol{Q} \)
find the position vector of the point \( \boldsymbol{R} \) which divides segment \( P Q \) internally in
the ratio 2: 1
| 2 |
Maths
|
Determine the electric dipole moment
of the system of three charges,placed on the vertices of an equilateral triangle as shown in the figure:
A \( \cdot(q l) \frac{\hat{i}+\hat{j}}{\sqrt{2}} \)
В \( \cdot \sqrt{3} q l \frac{\hat{j}-\hat{i}}{\sqrt{2}} \)
\( \mathbf{c} .-\sqrt{3} q l \hat{j} \)
D. \( 2 q l \hat{j} \)
| 3 |
Physics
|
Which of the following complex compounds will exhibit highest paramagnetic behaviour? \( (A t . N o . T i=22, C r=24, C o= \)
\( \mathbf{2 7}, \boldsymbol{Z} \boldsymbol{n}=\mathbf{3 0}) \)
\( \mathbf{A} \cdot\left[Z n\left(N H_{3}\right)_{6}\right]^{2+} \)
в. \( \left[T i\left(N H_{3}\right)_{6}\right]^{3+} \)
c. \( \left[C r\left(N H_{3}\right)_{6}\right]^{3} \)
D. \( \left[\operatorname{Co}\left(N H_{3}\right)_{6}\right]^{3+} \)
| 1 |
Chemistry
|
Without knowing the electronic configurations of the atoms of elements Mendeleev still could arrange the elements nearly close to the arrangements in the Modern periodic table. How can you appreciate this?
| 1 |
Chemistry
|
Four students \( A, B, C, \) and \( D \) noted the
initial colour of the solution in beakers
I, II, Ill and IV. After inserting zinc rods in
each solution and leaving it
undisturbed for two hours, noted the
colour of each solution again. The recorded observations in the form of
the table given below:
Which student noted the colour change
in all the four beakers correctly.
\( A \cdot(A) \)
B. (B)
\( c \cdot(c) \)
\( D, \quad O \)
| 1 |
Chemistry
|
The radioactivity of a sample is \( R_{1} \) at a
time \( T_{1} \) and \( R_{2} \) at a time \( T_{2} . \) If the half-
life of the specimen is \( T, \) the number of atoms that have disintegrated in the
time \( T_{2}-T_{1} \) is proportional to
A \( \cdot T_{2}-T_{1} \alpha\left(R_{1}-R_{2}\right) T \)
В \( \cdot\left(R_{1}-R_{2}\right) \)
c. \( \left(R_{1}-R_{2}\right) / T \)
D \( \cdot\left(R_{1}-R_{2}\right) T \)
| 3 |
Physics
|
Equation of the circle which touches the line \( \mathbf{x}+\mathbf{y}-\mathbf{8}=\mathbf{0} \) and centre \( (\mathbf{3}, \mathbf{3}) \) is
A \( \cdot x^{2}+y^{2}-6 x-6 y=0 \)
B \cdot \( x^{2}+y^{2}-6 x-6 y+4=0 \)
C \( \cdot x^{2}+y^{2}-6 x-6 y+36=0 \)
D. \( x^{2}+y^{2}-6 x-6 y+16=0 \)
| 2 |
Maths
|
Use of the Data Booklet is relevant to
this question.
\( 2.40 g \) of \( p r o p a n-2-o l \) were mixed
with excess acidified potassium dichromate(VI). The reaction
mixture was then boiled under reflux for
twenty minutes. The organic product
was then collected
by distillation. The yield of product was \( 75.0 \% \)
What mass of product was collected?
A \( .1 .74 g \)
B. \( 1.80 g \)
c. \( 2.22 g \)
D. \( 2.32 g \)
| 1 |
Chemistry
|
State True or False.
Free hydrogen is found naturally on
earth.
A. True
B. False
| 1 |
Chemistry
|
An operon unit consist of
A. Regulator, operator and recessive gene
B. Regulator, structural and operator gene
C. Regulator, structural, operator and promoter gene
D. Regulator, structural and promoter gene
| 0 |
Biology
|
The teeth used for biting and cutting
food are called as
A. Molars
B. Premolars
c. canines
D. Incisors
| 0 |
Biology
|
Which of the following statements for a
rigid object undergoing pure
translational motion are false?
This question has multiple correct options
A. If an object receives an impulse its kinetic energy must change.
B. An object's kinetic energy can change without the object changing momentum.
C. An object can receive a net impulse without any work being done on it
D. A force may do work on an object without delivering any change in momentum.
| 3 |
Physics
|
In Gymnosperms pollination occurs exclusively by
A. Anemophily
B. Hydrophily
c. zoophily
D. Malacophily
| 0 |
Biology
|
Two sounds of same loudness and same
pitch produced by two different instruments differ their:
A. Amplitudes
B. frequencies
c. wave forms
D. All the above
| 3 |
Physics
|
Sodium has
compared to potassium.
A. less electronegativity
B. more ionization potential
c. larger atomic radius
D. lower melting point
| 1 |
Chemistry
|
Two identical loops \( P \) and \( Q \) each of
radius \( 5 \mathrm{cm} \) are lying in perpendicular
planes such that they have a common centre as shown in the figure. Find the magnitude and direction of the net magnetic field at the common centre of
the two coils, if they carry currents
equal to \( 3 A \) and \( 4 A \) respectively.
| 3 |
Physics
|
n a right angled \( \triangle A B D, \angle B= \)
\( \mathbf{6 0}^{\circ}, \angle \boldsymbol{A}=\mathbf{3 0}^{\circ} \)
Then \( \sin 30^{\circ} \) is equal to
\( A \)
\( 3 \frac{1}{2} \)
\( c \)
\( D \cdot 1 \)
| 2 |
Maths
|
The areal velocity and the angular momentum of the planet are related by which of the following relations?
(where \( m_{p} \) is the mass of the planet)
A \( \cdot \frac{\Delta \bar{A}}{\Delta t}=\frac{\bar{L}}{2 m_{p}} \)
B \( \cdot \frac{\Delta \bar{A}}{\Delta t}=\frac{\bar{L}}{m_{p}} \)
\( \mathbf{C} \cdot \underset{\Delta t}{\frac{\Delta \bar{A}}{\Delta t}}=\frac{2 \bar{L}}{m_{p}} \)
D. \( \frac{\Delta \bar{A}}{\Delta t}=\frac{\bar{L}}{\sqrt{2 m_{p}}} \)
| 3 |
Physics
|
A force can be applied only when it is in contact with an object. Which of the following is the category of this type of force?
A. Magnetic force
B. contact force
c. Non-contact force
D. Muscular force
| 3 |
Physics
|
The function \( \boldsymbol{f}: \boldsymbol{R} \rightarrow \boldsymbol{R}, \boldsymbol{f}(\boldsymbol{x})= \)
\( x^{2}, \forall x \in R \) is
A. Injection but not surjection
B. Surjection but not injection
c. Injection as well as surjection
D. Neither injection nor surjection
| 2 |
Maths
|
Azeotropic mixtures are:
A. mixture of two solids
B. those which boil at different temperatures
C. those which can be fractionally distilled
D. constant boiling mixtures
| 1 |
Chemistry
|
1.575 gm of an organic acid was dissolved in \( 250 \mathrm{ml} \) of water. Further, 20 \( \mathrm{ml} \) of this solution required \( 16 \mathrm{ml} \) of \( \frac{N}{8} \) alkali solution for complete neutralisation. If the basicity of the acid
is \( 2, \) find its molecular mass.
| 1 |
Chemistry
|
Addition to an alkyne is a:
A. three stage process
B. two stage process
C . single stage process
D. none of above
| 1 |
Chemistry
|
If \( 3^{x+y}=81 \) and \( 81^{x-y}=3^{8}, \) then find
the values ofx and y respectively.
\( A \cdot 3,1 \)
B. 1,3
\( c \cdot-1,3 \)
D. -1,-3
| 2 |
Maths
|
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