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If \( \boldsymbol{A}=\left[\begin{array}{ccc}\boldsymbol{4} & \boldsymbol{1} & \boldsymbol{0} \\ \boldsymbol{1} & \boldsymbol{-} \boldsymbol{2} & \boldsymbol{2}\end{array}\right], \boldsymbol{B}= \)
\( \left[\begin{array}{ccc}\boldsymbol{2} & \boldsymbol{0} & -\boldsymbol{1} \\ \boldsymbol{3} & \boldsymbol{1} & \boldsymbol{4}\end{array}\right], \boldsymbol{C}=\left[\begin{array}{c}\boldsymbol{1} \\ \boldsymbol{2} \\ -\mathbf{1}\end{array}\right] \) and \( \left(\boldsymbol{3} \boldsymbol{B}-\boldsymbol{t}_{\boldsymbol{}}\right) \)
\( \boldsymbol{2} \boldsymbol{A}) \boldsymbol{C}+\boldsymbol{2} \boldsymbol{X}=\boldsymbol{0} \operatorname{then} \boldsymbol{X}= \)
A \( \cdot \frac{1}{2}\left[\begin{array}{c}3 \\ 13\end{array}\right] \)
B \( \cdot \frac{1}{2}\left[\begin{array}{c}3 \\ -13\end{array}\right] \)
c. \( \frac{1}{2}\left[\begin{array}{c}-3 \\ 13\end{array}\right] \)
D. \( \left[\begin{array}{c}3 \\ -13\end{array}\right] \)
| 2 |
Maths
|
Find the bolt's free fall time.
A . \( 1.4 s \)
в. \( 0.6 s \)
c. \( 0.9 s \)
D. \( 0.7 s \)
| 3 |
Physics
|
The maximum value of the function
\( \boldsymbol{f}(\boldsymbol{x})=|\boldsymbol{x}-\boldsymbol{4}| \) exists at
\( \mathbf{A} \cdot x=0 \)
B. \( x=2 \)
c. \( x=4 \)
D. \( x=-4 \)
| 2 |
Maths
|
\( \ln C u S O_{4} \cdot 5 H_{2} O \) all \( C u-O \) bond length
are not equal. Find the total number of
shorter Cu-O bonds.
| 1 |
Chemistry
|
The number of permutations of letters of the word "PARALLAL" atken four at a
time must be,
A .216
в. 244
c. 286
D. 1680
| 2 |
Maths
|
Find the area of a quadrilateral one of
whose diagonals is \( 30 \mathrm{cm} \) long and the perpendiculars from the two other
vertices on this diagonal are \( 19 \mathrm{cm} \) and
\( 11 \mathrm{cm} \) respectively.
A \( \cdot 450 \mathrm{cm}^{2} \)
В. \( 540 \mathrm{cm}^{2} \)
D. \( 350 \mathrm{cm}^{2} \)
| 2 |
Maths
|
Among the following compounds, which one is not responsible for the depletion of ozone layer?
A \( . C H_{4} \) н 2 СО
в. \( C F C l_{3} \)
c. \( N O \)
D. \( C l_{2} \)
| 1 |
Chemistry
|
The prediction of the existence of black holes came from which theory or law?
A. Newton's law of universal gravitation
B. Faraday's law of electromagnetic induction
c. quantum theory.
D. Einstein's theory of general relativity
E. Snell's law.
| 3 |
Physics
|
Answer the following by appropriately matching the lists based on the
information given in the paragraph.
If the process on one mole of
monatomic ideal gas is as shown in the TV-diagram with \( P_{0} V_{0}=\frac{1}{3} R T_{0} \), the
correct match is,
A. \( I \rightarrow P, I I \rightarrow R, I I I \rightarrow T, I V \rightarrow S \)
в. \( I \rightarrow P, I I \rightarrow T, I I I \rightarrow Q, I V \rightarrow T \)
c \( . I \rightarrow S, I I \rightarrow T, I I I \rightarrow Q, I V \rightarrow U \)
D. \( I \rightarrow P, I I \rightarrow R, I I I \rightarrow T, I V \rightarrow P \)
| 1 |
Chemistry
|
One gram of ice at \( 0^{\circ} \mathrm{C} \) is added to 5
yarn of water at \( 10^{\circ} \mathrm{C} \). If the latent heat
of ice be 80 cal /g, then the final temperature of the mixture is
A \( .5^{\circ} \mathrm{C} \)
B. \( 0^{\circ} \mathrm{C} \)
\( \mathbf{c} \cdot-5^{\circ} \mathrm{C} \)
D. None of the above
| 3 |
Physics
|
The vapour pressure of the solution of
two liquids \( A\left(P^{\circ}=80 m m\right) \) and
\( B\left(p^{\circ}=120 m m\right) \) is found to be
\( 100 m m \) when \( x_{A}=0.4 . \) The result
shows that:
A. Solution exhibits ideal behaviour
B. Solution shows positive deviations
c. Solution shows negative deviations
D. Solution will show positive deviations for lower concentration and negative deviations for higher concentrations
| 1 |
Chemistry
|
The mean and standard deviation of a
group of 100 observations were found to
be 20 and 3 respectively. Later on it was
found that three observations were
incorrect which were recorded as 21,21
and \( 18 . \) Find the mean and standard
deviation if the incorrect observation
are omitted
| 2 |
Maths
|
The water moving upward forms a column, which is maintained up to a certain height due to
A. Osmosis
B. Transpiration pull
c. Translocational pool
D. Diffusion
| 0 |
Biology
|
A particle of mass \( M \) is moving in a horizontal circle of radius \( R \) with a
uniform speed \( v . \) When it moves from
one point to a diametrically opposite point, its This question has multiple correct options
A. Momentum does not change
B. Momentum changes by 2 \( M v \)
c. Kinetic energy does not change
D. Kinetic energy changes by \( M v^{2} \)
| 3 |
Physics
|
Trivial name of methanol is
A. wood spirit
B. methyl alcohol
c. wood alcohol
D. all of the above
| 1 |
Chemistry
|
An oxidation process involves:
A. increase in oxidation number
B. Decrease in oxidation number
c. Addition of electrons
D. Removal of electronegative element
| 1 |
Chemistry
|
Which is the part of the nephron that exists in outer zone of kidney?
A. Loop of the henle
B. PCT
c. DCT
D. Bowman's capsule
| 0 |
Biology
|
A circuit consists of a battery, a resistor
\( \mathrm{R} \) and two light bulbs \( \mathrm{A} \) and \( \mathrm{B} \) as shown.
If the filaments in light A burns out,
then the following is true for light bulb
A. It is turned off
B. Its brightness does not change
c. It gets dimmer
D. It gets brighter
| 3 |
Physics
|
Which of the following sets of elements follows Newland's octave rule?
A. \( B e, M g, C a \)
в. \( N a, K, R b \)
c. \( F, C l, B r \)
D. \( B, A l, G a \)
| 1 |
Chemistry
|
Explain actinoid contraction.
| 1 |
Chemistry
|
The following flow chart represents the
extraction of
Froth flotation
\( t \)
Roasting
\( t \)
Smelting
\( t \)
Bessemerization
\( t \)
Electrolytic refining
A. Copper
B. zinç
c. Iron
D. Aluminium
| 1 |
Chemistry
|
The maximum number of fish belong to
A. Elasmobranchii
B. Dipnoi
c. Actinopterygii
D. crossopterygii
| 0 |
Biology
|
If a polar covalent bond shows \( 50 \% \) ionic character, then the electronegativity difference of the atoms that form the
bond is :
A. more than 1.7
B. equal to 1.7
c. less than 1.7
D. much greater than 1.7
| 1 |
Chemistry
|
A light ray traveling from one medium
into another:
A. always bends towards the normal
B. always bends away from the normal
C. bends towards or away from the normal depending on the densities of the two media
D. never suffers a refraction
| 3 |
Physics
|
Current density is a:
A. Vector expressed in \( A m^{-1} \)
B. Scalar expressed in \( A m^{-2} \)
C . Vector expressed in \( A m^{-2} \)
D. Scalar expressed in \( A m^{-1} \)
| 3 |
Physics
|
A train is moving towards east and a car is along north, both with same speed. The observed direction of car to
the passenger in the train is
A. East-north direction
B. West-north direction
c. south-east direction
D. None of the above
| 3 |
Physics
|
What is the radius of a circle of area
\( 616 \mathrm{cm}^{2} ? \)
\( \mathbf{A} \cdot 16 \mathrm{cm} \)
B. \( 12 \mathrm{cm} \)
\( c \cdot 14 c m \)
D. None of these
| 2 |
Maths
|
A single electron orbit around a stationary nucleus of charge +Ze where \( \mathrm{Z} \) is the atomic number and 'e' is the
magnitude of the electric charge. The hydrogen-like species required \( 47.2 e v \) to excite the electron from the second
Bohr orbit to the third Bohr orbit. The
value of \( Z \) is:
A. 5
B. 3
\( c \cdot 2 \)
\( D \)
| 1 |
Chemistry
|
Which of the following is formed from phosphorylation?
A. Fructose 1,6-bisphosphate
B. Phosphoglyceric acid
c. PEP
D. Pyruvic acid
| 0 |
Biology
|
When an alkali metal is reacted with
hydrogen then metallic hydride is formed. In this reaction:
A. hydrogen is oxidized
B. hydrogen is reduced
c. hydrogen is neither oxidised nor reduced
D. hydrogen is oxidized as well as reduced
| 1 |
Chemistry
|
The entire positive charge of the atom is located in the nucleus while the
electrons are distributed in the vacant
space around it. This statement was
given by Thomson.
A. True
B. False
| 1 |
Chemistry
|
Upto which element, the law of octaves
was applicable?
A. oxygen
B. Calcium
c. cobalt
D. Potassium
| 1 |
Chemistry
|
Which of the following is used as a preservative to protect processed food?
A. Sodium sulphate
B. Saccharin
c. sucralose
D. Sodium metabisulphite
| 1 |
Chemistry
|
The potential difference between points \( A \) and \( B \) in the circuit shown in figure
is \( 16 \mathrm{V} \). Then,
This question has multiple correct options
A. the current through the \( 2 \Omega \) resistance is 3.5 A
B. the current through the \( 4 \Omega \) resistance is 2.5 A
c. the current through the \( 3 \Omega \) resistance is 1.5 A
D. the potential difference between the terminals of the V battery is 7 V
| 3 |
Physics
|
What type(s) of intermolecular forces exist between the following pair?
\( C l_{2} \) and \( C B r_{4} \)
A. Dispersion forces
B. Hydrogen bonding
C. Dipole-Dipole interactions
D. None of the above
| 1 |
Chemistry
|
The rusting of iron takes place as follows:
\( \mathbf{2} \boldsymbol{H}^{\oplus}+\mathbf{2} e^{-}+\frac{\mathbf{1}}{\mathbf{2}} \boldsymbol{O}_{2} \rightarrow \)
\( \boldsymbol{H}_{2} \boldsymbol{O}(\boldsymbol{l}) ; \boldsymbol{E}^{\ominus}=+\mathbf{1} \cdot \boldsymbol{2} \boldsymbol{3} \boldsymbol{V} \)
\( \boldsymbol{F} \boldsymbol{e}^{2+}(\boldsymbol{a} \boldsymbol{q})+\boldsymbol{2} \boldsymbol{e}^{-} \rightarrow \boldsymbol{F} \boldsymbol{e}(s) ; \boldsymbol{E}^{\ominus}= \)
\( -0.44 V \)
Calculate \( \Delta G^{\ominus} \) for the net process.
B. \( -152 k J \) mol\( ^{-1} \)
c. \( -76 k J \) mol \( ^{-1} \)
D. - \( 161 k J \) mol \( ^{-1} \)
| 1 |
Chemistry
|
Find the angle between two vectors \( a \) and \( b \) if \( |a+b|=|a-b| \)
| 2 |
Maths
|
toppr
Q Type your question
corresponding thermodynamic co-
ordinates are given. Here, the \( P \) and \( V \)
scales are so chosen that these cycles
on \( P-V \) diagram appear to be
circular.
Analyse these cycles on \( P-V \) diagram
and answer the following questions
about these processes.
What is the net work done in the given
process?
Cycle on System
\( \mathbf{A} \cdot \frac{\pi P_{0} V_{0}}{4} \)
\( \mathbf{B} \cdot-\frac{\pi P_{0} V_{0}}{4} \)
\( c \)
D.
| 3 |
Physics
|
If \( \mathbf{0} \leq[\boldsymbol{x}]<\mathbf{2},-\mathbf{1} \leq[\boldsymbol{y}]<\mathbf{1} \) and \( \mathbf{1} \leq \)
\( [z]<3([.] \) denotes the greatest integer
function) then the maximum value of
determinant
\( \boldsymbol{\Delta}=\left|\begin{array}{ccc}{[\boldsymbol{x}]+\mathbf{1}} & {[\boldsymbol{y}]} & {[\boldsymbol{z}]} \\ {[\boldsymbol{x}]} & {[\boldsymbol{y}]+\mathbf{1}} & {[\boldsymbol{z}]} \\ {[\boldsymbol{x}]} & {[\boldsymbol{y}]} & {[\boldsymbol{z}]+\mathbf{1}}\end{array}\right| \)
\( A \)
B. 2
\( c \cdot 3 \)
\( D \)
| 2 |
Maths
|
Which of the following acid has the same molecular weight and equivalent weight ?
A \( . H_{3} P O_{2} \)
в. \( H_{3} P O_{3} \)
\( \mathrm{c} \cdot H_{3} P O_{4} \)
D. \( H_{2} S O_{4} \)
| 1 |
Chemistry
|
Numbers greater than 1000 but not greater than 4000 which can be formed
with the digits 0,1,2,3,4 (repetiion of digits is allowed) are
A . 350
в. 374
c. 450
D. 575
| 2 |
Maths
|
\( \boldsymbol{C a C O}_{3} \rightarrow \boldsymbol{C a O}+\boldsymbol{C O}_{2} \)
\( \boldsymbol{E}+\boldsymbol{C O}_{2} \rightarrow \boldsymbol{F} \)
\( N a C l+F \rightarrow A+N a H C O_{3} \)
The other compound formed with sodium bicarbonate is:
A. \( C a C l_{2} \)
в. \( N H_{4} C l \)
c. \( N H_{4} O H \)
D. none of these
| 1 |
Chemistry
|
Two coils \( X \) and \( Y \) are placed in a
circuit such that a current changes by
\( 3 A \) in coil \( X \) and magnetic flux changes of \( 1.2 ~ W b \) occurs in \( Y \). The
value of mutual inductance of the coils
is :
\( \mathbf{A} \cdot 0.2 H \)
в. \( 0.4 \mathrm{H} \)
c. \( 0.6 H \)
D. \( 3.6 H \)
| 3 |
Physics
|
The following reaction is balanced if \( \boldsymbol{X}+\boldsymbol{Y} \) is
\( \mathbf{5} \boldsymbol{H}_{2} \boldsymbol{O}_{2}+\boldsymbol{X} \boldsymbol{C l} \boldsymbol{O}_{2}+\mathbf{2} \boldsymbol{O} \boldsymbol{H}^{-} \rightarrow \)
\( \boldsymbol{X} \boldsymbol{C l}^{-}+\boldsymbol{Y} \boldsymbol{O}_{2}+\boldsymbol{6} \boldsymbol{H}_{2} \boldsymbol{O} \)
| 1 |
Chemistry
|
If \( H \) is harmonic mean between \( P \) and
\( Q . \) Then the value of \( \frac{\boldsymbol{H}}{\boldsymbol{P}}+\frac{\boldsymbol{H}}{\boldsymbol{Q}} \) is
\( A \cdot 2 \)
в. \( \frac{P Q}{P+Q} \)
c. \( \frac{P+Q}{P Q} \)
D. None of these
| 2 |
Maths
|
A step-down transformer has primary voltage \( 1100 V . \) The ratio of turns of
primary to secondary coil is \( 5: 1 . \) If the
primary current is \( 10 A \) then what is the secondary voltage and secondary current assuming the transformer to be an ideal transformer?
\( \mathbf{A} \cdot 220 V, 50 A \)
в. \( 220 V, 5 A \)
c. \( 22 V, 50 A \)
D. \( 22 V, 5 A \)
| 3 |
Physics
|
The current flowing in the primary circuit of potentiometer is \( 2 A \) and the resistance of its wire is \( 0.2 \Omega / m . \) If a one ohm standard coil gets balanced at \( 250 \mathrm{cm} \) length of the wire, then the
current flowing in the coil will be
A . \( 0.1 \mathrm{A} \)
B. 1A
c. \( 1.5 \mathrm{A} \)
D. 0.05A
| 3 |
Physics
|
The given image depicts which of the following phenomena in amoeba?
A. Digestion
B. Egestion
c. Growth
D. Development
| 0 |
Biology
|
If \( \boldsymbol{P}=\left[\begin{array}{ccc}1 & 2 & -3 \\ 3 & -1 & 2 \\ -2 & 1 & 3\end{array}\right], Q= \)
\( \left[\begin{array}{lll}2 & 3 & 1 \\ 3 & 1 & 2 \\ 1 & 2 & 3\end{array}\right], \) then find matrix \( R \) such
that \( \boldsymbol{P}+\boldsymbol{Q}+\boldsymbol{R} \) is a zero matrix
| 2 |
Maths
|
The three resistance of equal value are
arranged in the different combinations
shown below.
Arrange them in increasing order of power dissipation.
A. \( \||<\|<| V<1 \)
B. \( \|<\|<\mid V<1 \)
c. \( |<| V<\|\mid<\| \)
D. \( |<\|\mid<\|<1 V \)
| 3 |
Physics
|
The length of the segment of the straight line passing through (3,3) and (7,6) cut off by the coordinate axes is?
A
в.
\( c \cdot \frac{7}{4} \)
D. \( \frac{4}{7} \)
| 2 |
Maths
|
\( \boldsymbol{A}=(\mathbf{1},-\mathbf{2}, \mathbf{3}), \boldsymbol{B}=(2,1,3), \boldsymbol{C}=(4,2, \)
1) and \( G=(-1,3,5) \) is the centroid of
the tetrahedron \( A B C D . \) Then the fourth
coordinate is
A. (11,11,13)
В. (-11,11,45)
c. (-11,11,13)
D. (11,13,11)
| 2 |
Maths
|
If \( \mathbf{A}, \mathbf{B} \) and \( \mathbf{C} \) are three sets such that \( \mathbf{A} \cap \mathbf{B}=\mathbf{A} \cap \mathbf{C} \) and \( \mathbf{A} \cup \mathbf{B}=\mathbf{A} \cup \mathbf{C} \)
then
A \( . A=B \)
B. \( A=C \)
c. \( \mathrm{B}=\mathrm{C} \)
\( \mathbf{D} \cdot A \cap \mathbf{B}=\phi \)
| 2 |
Maths
|
\( \frac{2}{3} r d \) of a number when multiplied by \( \frac{3}{4} \) th of the same number make 338 .The
number is
\( \mathbf{A} \cdot \pm 18 \)
B. ±24
\( c .\pm 36 \)
D. ±26
| 2 |
Maths
|
A transformer has 200 turns in primary and 400 turns in secondary. When a battery of \( 6 \mathrm{V} \) and negligible internal resistance is connected to the primary a current of \( 2 \mathrm{A} \) is produced in it. The secondary voltage and current are
\( A \cdot 12 v, 1 A \)
B. 12 V, zero
c. zero, 1A
D. zero, zero
| 3 |
Physics
|
What is the mass of one curie of \( U^{234} ? \)
A . \( 3.7 \times 10^{10} g \)
B. \( 3.7 \times 10^{-10} g \)
c. \( 6.25 \times 10^{-34} g \)
D. \( 1.438 \times 10^{-11} g \)
| 3 |
Physics
|
\( \vec{A}, \vec{B} \) and \( \vec{C} \) satisfy the relations, \( \vec{A} \cdot \vec{B}=0 \) and \( \vec{A} \cdot \vec{C}=0, \) then \( \vec{A} \) is
parallel to
A . \( \vec{B} \)
в. \( \vec{c} \)
c. \( \vec{B} \times \vec{C} \)
D. 高广
| 3 |
Physics
|
The presence of electric charge
on colloidal particles is indicated by the property, called:
A. dialysiss
B. solubility
c. eletrophoresis
D. osmosis
| 1 |
Chemistry
|
\( A \) block \( X \) kept on an inclined surface
just begins to slide, if the inclination is
\( \boldsymbol{\theta}_{1} . \) The block is replaced by another block \( Y \) and it is found that it just
begins to slide, if the inclination \( \theta_{2} \) if
\( \boldsymbol{\theta}_{2}>\boldsymbol{\theta}_{1} \) ). Then
A. Mass of \( x= \) mass of \( Y \)
B. Mass of \( x< \) mass of \( Y \)
c. Mass of \( x> \) mass of \( Y \)
D. All the above three options are possible
| 3 |
Physics
|
Viruses multiply in
A. Bacteria only
B. All living cells
C . Specific living cells
D. Rotten food
| 0 |
Biology
|
A stone is dropped in a well of depth 500
\( \mathrm{m} \) and a sound is heard after \( 80 / 7 \)
seconds. Then speed of sound is: \( [\boldsymbol{g}= \)
\( \left.\mathbf{1 0 m} / \boldsymbol{s}^{\mathbf{2}}\right] \)
A. \( 300 \mathrm{m} / \mathrm{s} \)
B. \( 350 \mathrm{m} / \mathrm{s} \)
c. \( 400 \mathrm{m} / \mathrm{s} \)
D. \( 330 \mathrm{m} / \mathrm{s} \)
| 3 |
Physics
|
Refractive index of a transparent medium, so that it is invisible in
vacuum is
\( A \)
B. \( < \)
\( c \cdot>1.33 \)
D. 1.33
| 3 |
Physics
|
Which of the following statement is incorrect for a stationary wave?
A. Every particle has fixed amplitude which is different from the amplitude of its nearest particle
B. All the particles cross their mean position at the same time
C. All the particles are oscillating with same amplitude.
D. There is no net transfer of energy across any plane
| 3 |
Physics
|
The molar conductance of a \( 0.01 M \)
solution of acetic acid was found to be
\( 16.30 \times 10^{-4} S m^{2} m o l^{-1} \) at \( 25^{\circ} C . \) The
molar ionic conductance of \( \boldsymbol{H}^{+} \) and
\( C H_{3} C O O^{-} \) ions at infinite dilution are
\( 349.8 \times 10^{-4} \) and \( 40.9 \times \)
\( 10^{-4} S m^{2} m o l^{-1}, \) respectively, at the
same temperature. What percentage of acetic acid is dissociated at this
concentration?
| 1 |
Chemistry
|
The nearest star to our solar system is
4.29 light years away. How much is this distance in terms of parsecs? How
much parallax would this star (named Alpha Centauri) show when viewed from
two locations of the Earth six months
a part in its orbit around the Sun?
| 3 |
Physics
|
A ship sends a sonar wave to the sea bed which is flat and measured several
times over a large area. One day the reflected sound wave takes longer time than in previous measurements. The possible reason is :
A. the frequency of the sonar wave, generated by the equipment is lower than previous measurements
B. there is a solid object of large size in the path of sonar wave
c. there is a huge air bubble in the path of sonar wave
D. the loudness of the sonar wave, generated by the equipment is lower than previous measurement
| 3 |
Physics
|
Two metal spheres \( A \) and \( B \) of exactly same mass are given equal positive and negative charges respectively. Their masses after charging:
A. Remains unaffected
B. Mass of \( A> \) mass of B
c. Mass of \( A< \) mass of \( B \)
D. Nothing can be said
| 3 |
Physics
|
Transverse waves on a string have wave speed \( 12.0 \mathrm{m} / \mathrm{s}, \) amplitude \( 0.05 \mathrm{m} \) and wavelength 0.4 m. The waves travel in
the \( +x \) direction and at \( t=0, \) the \( x=0 \)
end of the string has zero displacement and is moving upwards. Find the transverse displacement of a point at \( x \) \( =0.25 \mathrm{m} \) at time \( t=0.15 \mathrm{s} \)
A. \( -4.54 \mathrm{cm} \)
B. \( -5.54 \mathrm{cm} \)
c. \( -3.54 \mathrm{cm} \)
D. \( -9.54 \mathrm{cm} \)
| 3 |
Physics
|
A particle is vibrating in simple harmonic motion with amplitude of \( 4 \mathrm{cm} . \) At what displacement from the equilibrium position is its energy half potential and half kinetic?
A. \( 1 ~ c m \)
B. \( \sqrt{2} \mathrm{cm} \)
\( c \cdot 2 c m \)
D. \( 2 \sqrt{2} \) cm
| 3 |
Physics
|
Which part of mammalian brain
controls the muscular co-ordination?
A. Cerebrum
B. Cerebellum
c. Corpus callosum
D. Medulla oblongata
| 0 |
Biology
|
Which of the following electrolytes will not be most effective in the coagulation of gold sol? This question has multiple correct options
A. \( N a N O_{3} \)
в. \( K_{4}\left[\operatorname{Fe}(C N)_{6}\right] \)
c. \( N a_{3} P O_{4} \)
D. \( M g C l_{2} \)
| 1 |
Chemistry
|
Copy and complete the following table relating to important industrial
process:
Name O
process
Haber's
process
| 1 |
Chemistry
|
In the given v-t graph the distance
travelled by the body in 5 seconds will
be
A . \( 100 \mathrm{m} \)
B. 80 m
\( c \cdot 40 m \)
D. 20 \( m \)
| 3 |
Physics
|
A mixture of helium and argon contains
3 moles of \( H e \) for every 2 moles of \( A r \) The partial pressure of argon in the mixture is
A. two thirds the total pressure
B. one third the total pressure
c. three fifths the total pressure
D. two fifths the total pressure
| 1 |
Chemistry
|
Can you use soaps and synthetic
detergents to check the hardness
of water?
| 1 |
Chemistry
|
Which among the following are biological methods that are being used
to control population growth?
A. Condoms
B. oral contraceptives
\( c \cdot c u-T \)
D. All of the above
| 0 |
Biology
|
Solve the differential equation \( \cos \left(\frac{\boldsymbol{d} \boldsymbol{y}}{\boldsymbol{d} \boldsymbol{x}}\right)=\boldsymbol{a},(\boldsymbol{a} \in \boldsymbol{R}) \)
| 2 |
Maths
|
A stage in cell division is shown in the
figure. Identify the stage of cell division
with its characteristics.
A. Late anaphase - Chromosomes move away from equatorial plate, golgi complex not present
B. Cytokinesis - Cell plate formed mitochondria distributed between two daughter cells
C. Telophase - Endoplasmic reticulum and nucleolus not reformed yet
D. Telophase - Nuclear envelope reforms, golgi complex reforms
| 0 |
Biology
|
Vectors \( \vec{a}=\hat{i}+2 \hat{j}+3 \hat{k}, \vec{b}=2 \hat{i}-\hat{j}+\hat{k} \)
and \( \vec{c}=3 \hat{i}+\hat{j}+4 \hat{k} \) are so placed that
the end point of one vector is the starting point of the next vector, then
the vectors are
A. Not coplanar
B. Coplanar but cannot form a triangle
c. coplanar and form a triangle
D. coplanar and can form a right-angled triangle
| 2 |
Maths
|
Which of the following conclusions
could not be derived from Rutherford's
\( \alpha \) -particles scattering experiment?
A. Most of the spaces in the atom is empty.
B. The radius of the atom is about \( 10^{-10} \mathrm{m} \) while that of
nucleus is \( 10^{-15} \mathrm{m} \)
C. Electrons move in a circular path of fixed energy called orbits
D. Electrons and the nucleus are held together by electrostatic force of attraction
| 1 |
Chemistry
|
One of the following statements is
correct. Pick out the one.
A. Diffraction can not take place without interference
B. Sustained interference will not take place without diffraction for non-coherent sources
C. Interference and diffraction are the result of
polarization
D. The fringe width in Young's double slit experiment does not depends on the wave length.
| 3 |
Physics
|
A white solid \( X \) on heating gives a white solid Y and an acidic gas Z. Gas Z is
also given out when \( X \) reacts with an acid. The compound Y is also formed if caustic soda is left open in the atmosphere. \( X, Y \) and \( Z \) are :
A \( \cdot X-N a H C O_{3}, Y-N a_{2} C O_{3}, Z-C O_{2} \)
в. \( X-N a_{2} C O_{3}, Y-N a O H, Z-C O_{2} \)
c. \( X-N a H C O_{3}, Y-N a H C O_{3}, Z-C O_{2} \)
D. \( X-N a O H, Y-N a H C O_{3}, Z-C O_{2} \)
| 1 |
Chemistry
|
What will be the ratio of molar
capacities for monoatomic gas \( \left(C_{v}=3\right. \)
)?
A . 1.66
B . 2.
\( c .6 . \)
D. 1.5
| 1 |
Chemistry
|
Short / Long type answer type questions. Why does the left ventricle possess a thicker wall than the right ventricle?
| 0 |
Biology
|
Find the common ratio in the following
G.P. \( -5,1, \frac{-1}{5}, \dots \)
| 2 |
Maths
|
Which of the following is not a proper fraction?
A \( \cdot \frac{2}{3} \)
B. \( \frac{3}{4} \)
\( c \cdot \frac{5}{7} \)
D. \( \frac{6}{5} \)
| 2 |
Maths
|
\( 20 m L \) of \( 0.1 N \) acetic acid is mixed
with \( 10 m L \) of \( 0.1 N \) solution of \( N a O H \)
The \( p H \) of the resulting solution is :
\( \left[\text { Given }: p K_{a} \text { of acetic acid is } 4.74\right] \)
A . 3.74
в. 4.74
\( c .5 .74 \)
D. 6.74
| 1 |
Chemistry
|
A tube of length L is filled completely with an incompressible liquid of mass M and closed at both the ends. The tube
is then rotated in a horizontal plane about one of its ends with a uniform
angular velocity \( \omega . \) The force exerted by the liquid at the other ends is:-
A \( \cdot \frac{M L \omega^{2}}{2} \)
B. \( \frac{M L^{2} \omega}{2} \)
c. \( M L \omega^{2} \)
D. \( \frac{M L^{2} \omega^{2}}{2} \)
| 3 |
Physics
|
The bond order of individual carbon-
carbon bonds in benzene is:
A. one
B. two
c. between one and two
D. one and two alternately
| 1 |
Chemistry
|
Observe the bins and waste material
heaps and suggest what materials can be used for preparing handicrafts materials.
| 0 |
Biology
|
Give four rational numbers equivalent \( \frac{4}{9} \)
| 2 |
Maths
|
\( f(a+b+c=0, \) then one root of \( \left|\begin{array}{ccc}\boldsymbol{a}-\boldsymbol{x} & \boldsymbol{c} & \boldsymbol{b} \\ \boldsymbol{c} & \boldsymbol{b}-\boldsymbol{x} & \boldsymbol{a} \\ \boldsymbol{b} & \boldsymbol{a} & \boldsymbol{c}-\boldsymbol{x}\end{array}\right|=0 \) is
\( A \cdot a+b \)
B.
\( c \cdot b+c \)
D. atca
| 2 |
Maths
|
An average emf of \( 20 \mathrm{V} \) is induced in an
inductor when the current in it is
changed from \( 2.5 A \) in one direction to the same value in the opposite direction in 0.1 s. The self-inuctance of
the inductor is
A . zero
в. \( 0.2 H \)
\( c .0 .4 H \)
D. \( 1 H \)
| 3 |
Physics
|
Find a vector in thedirection of \( 5 \hat{i}-\widehat{j}+ \)
\( 2 \widehat{k} \) which has magnitude 8 units.
A \( \cdot \frac{8}{\sqrt{30}} \hat{i}-\frac{40}{\sqrt{30}} \hat{j}+\frac{16}{\sqrt{30}} \widehat{k} \)
B. \( \frac{16}{\sqrt{30}} \hat{i}+\frac{8}{\sqrt{30}} \hat{j}-\frac{40}{\sqrt{30}} \widehat{k} \)
c. \( \frac{40}{\sqrt{30}} \hat{i}-\frac{8}{\sqrt{30}} \hat{j}+\frac{16}{\sqrt{30}} \widehat{k} \)
D. None
| 3 |
Physics
|
\( \operatorname{Let} \boldsymbol{f}(\boldsymbol{x})=\mathbf{1}+\mathbf{2} \boldsymbol{x}^{2}+\mathbf{2}^{2} \boldsymbol{x}^{\boldsymbol{4}}+\ldots \ldots+ \)
\( 2^{10} x^{20} . \) Then \( f(x) \) has
A. more than one minimum
B. exactly one minimum
c. at least one maximum
D. none of these
| 2 |
Maths
|
The traits which are acquired by an organism during its lifetime are called
as
A. Acquired traits
B. Inherited traits
c. skilled traits
D. None of the above
| 0 |
Biology
|
Which element has the most metallic
character?
A. Boron
B. Aluminium
c. Indium
D. Thallium
| 1 |
Chemistry
|
Evaluate: \( \int \frac{\left(x^{2}+1\right)}{\left(x^{4}+1\right)} d x \)
| 2 |
Maths
|
Find the magnetic field intensity due to
a thin wire carrying current \( I \) in the
figure :
A \( \cdot \frac{\mu_{0} i}{2 \pi R}(\pi-a+\tan a) \)
в. \( \frac{\mu_{0} i}{2 \pi R}(\pi-a) \)
c. \( \frac{\mu_{0} i}{2 \pi R}(\pi+a) \)
D. \( \frac{\mu_{0}}{2 \pi R}(\pi+a-\text { tana }) \)
| 3 |
Physics
|
The ground state magnetic property of
\( B_{2} \) and \( C_{2} \) molecules will be:
A . \( B_{2} \) paramagnetic and \( C_{2} \) diamagnetic
B. \( B_{2} \) diamagnetic and \( C_{2} \) paramagnetic
c. both are diamagnetic
D. both are paramagnetic
| 1 |
Chemistry
|
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