text
stringlengths 1
4.32k
| label
int64 0
3
| label_text
stringclasses 4
values |
|---|---|---|
Which is the correct process-mineral matching in metallurgical extraction? This question has multiple correct options
A. Leaching : Ag
B. Zone-refining : Sn
c. Liquation: \( \operatorname{sn} \)
D. Van Arkel : zr
| 1 |
Chemistry
|
Male and female gametophytes are independent and free-living in
A. Sphagnum
B. Mustard
c. castor
D. Pinus
| 0 |
Biology
|
Which of the following will produce
sound through vibration.
A. A plastic scale when bent over the edge of a bench
B. Saying 'Ah' for few seconds
C. Plucking a rubber string by fingers
D. All of the above
| 3 |
Physics
|
A capillary tube when immersed vertically in a liquid rises to \( 3 \mathrm{cm} \). If the tube is held immersed in the liquid at
an angle of \( 60^{\circ} \) with the vertical,the length of the liquid column along the tube will be:
A. \( 2 \mathrm{cm} \)
B. 4.5 \( \mathrm{cm} \)
\( \mathrm{c} \cdot 6 \mathrm{cm} \)
D. 7.5 \( \mathrm{cm} \)
| 3 |
Physics
|
The main evolutionary feature of alternation of generations from algae to modern tracheophytes is
A. Elimination of sporophyte
B. Gradual elaboration of sporophyte
c. Gradual elaboration of gametophyte
D. Both B and C
| 0 |
Biology
|
For intensity \( I \) of a light of wavelength \( \mathbf{5 0 0 0} \boldsymbol{A} \) the photoelectron saturation current is \( 0.40 \mu A \) and stopping
potential is \( 1.36 V, \) the work function of metal is:
A . 2.47 ev
B. 1.36 ev
c. 1.10 ev
D. 0.43 ev
| 3 |
Physics
|
Identify \( \boldsymbol{x}, \boldsymbol{y} \) and \( \boldsymbol{z} \) for the following metallurgical process:
Metal sulphide \( \stackrel{x}{\rightarrow} \) Metal oxide \( \stackrel{y}{\rightarrow} \)
Impure metal
\( x, y \) and \( z \) are respectively:
A. roasting, smelting, electrolysis
B. roasting, calcination, smelting
c. calcination, auto-reduction, basemerisation
D. None of the above
| 1 |
Chemistry
|
The number of \( S-S \) bonds in
polythionic acid \( \boldsymbol{H}_{2} \boldsymbol{S}_{n} \boldsymbol{O}_{6} \) is :
\( A \)
B. \( n-1 \)
\( c \cdot n-2 \)
D. none of these
| 1 |
Chemistry
|
Form the differential equation from the following primitive, where constant is arbitrary. \( \boldsymbol{x} \boldsymbol{y}=\boldsymbol{a}^{2} \)
| 2 |
Maths
|
A current of i amp flows in a loop having circular arc of radius \( r \) subtending an
angle \( \theta \) as shown in the figure. The
magnetic field at the centre of the circle
is:
A \( \cdot \frac{\mu_{0} i}{4 \pi r} \)
B. \( \left(\frac{\mu_{0} i}{4 r}\right) \sin \theta \)
c. \( \left(\frac{2 \mu_{0} i}{2 r}\right) \sin \theta \)
D. \( \left(\frac{\mu_{0} i}{4 \pi r}\right) \sin \theta \)
| 3 |
Physics
|
Surgical removal of both the kidneys would result in death because
A. Water will accumulate in blood
B. Urea will not be excreted
c. Immune response will be suppressed
D. Glucose will be lost from the body
| 0 |
Biology
|
Heat of \( 20 \mathrm{Kcal} \) is supplied to the
system and \( 8400 J \) of external work is
done on the system so that its volume decreases at constant pressure. The change in internal energy is \( (J= \) \( 4200 J / k c a l) \)
A \( .9 .24 \times 10^{4} J \)
B. \( 7.56 \times 10^{4} J \)
c. \( 8.4 \times 10^{4} J \)
D. \( 10.5 \times 10^{4} J \)
| 1 |
Chemistry
|
Ribose sugar is not a component of
A. AMP
в. Атр
c. DNA
D. RNA
| 0 |
Biology
|
The probability that the value of certain stock will remain the same is \( 0.46 . \) The probability that its value will increase
by Rs. 0.50 or Re. 1 per share are respectively 0.17 and 0.23 and the probability that its value will decrease by Rs. 0.25 per share is 0.14 . The expected gain per share is
A . Rs. 0.75
B. Rs. 0.25
c. Rs. 0.28
D. Rs. 0.50
| 2 |
Maths
|
Two aeroplanes I and II bomb a target in succession. The probabilities of I and I scoring a hit correctly are 0.3 and 0.2 respectively. The second plane will bomb only if the first misses the target. The probability that the target is hit by the second plane is
A . 0.06
в. \( \frac{7}{22} \)
\( c .0 .2 \)
D. 0.7
| 2 |
Maths
|
Is used as a purple coloured antiseptic solution.
A. Bromine
B. Chlorine
c. lodine
D. Sulphur
| 1 |
Chemistry
|
Value of \( x \) in \( \frac{2}{3} x+6=12 \)
A . -
B. +27
\( c \cdot+9 \)
D. -27
| 2 |
Maths
|
A man fired a bullet against a wall and hears an echo after 2 s. He walks 80 m
towards the wall and fired bullet, such that he hears echo after 1 s. Find the
distance from wall to the second fired
place
A . \( 140 \mathrm{m} \)
B. 150 \( m \)
\( c .80 \mathrm{m} \)
D. 170 \( m \)
| 3 |
Physics
|
The main function of an antacid is:
A. to neutralize body acid
B. to neutralize body base
\( c . \) both a and \( b \)
D. none of these
| 1 |
Chemistry
|
If \( \mathrm{E} \) is the electric field intensity of an electrostatic field, then the
electrostatic energy density is proportional to:
\( A \cdot E \)
B . \( E^{2} \)
c. \( 1 / E^{2} \)
D. \( E^{3} \)
| 3 |
Physics
|
Perchloric acid is prepared by the action of concentrated sulphuric acid
on:
A \( \cdot \mathrm{NaClO}_{4} \)
в. \( \mathrm{KClO}_{3} \)
c. \( \left.\operatorname{ca}\left(\mathrm{ClO}_{3}\right) \mathrm{lO}_{3}\right) \)
D. Bac
| 1 |
Chemistry
|
Energy available from the oceans is:
A . OTE
B. sea-waves energy
c. tidal energy
D. all of the above
| 3 |
Physics
|
A decrease in blood pressure/ volume will not cause the release of
A. ADH
B. Renin
c. Atrial Natriuretic Factor
D. Aldosterone
| 0 |
Biology
|
Microorganisms can break down PAHs
in soil or water in a period of a week or a
month.
A. True
B. False
| 1 |
Chemistry
|
A car sometimes overturns while taking
a turn. When it overturns,:
A. the inner wheel leaves the ground first.
B. the outer wheel leaves ground first.
C. both the wheels leave the ground simultaneously.
D. either of the wheels leaves the ground first.
| 3 |
Physics
|
Write the structures of the given compounds whose IUPAC names are given as:
2,7-dimethylocta-2,4,6-triene
| 1 |
Chemistry
|
\( \sin x+i \cos 2 x \) and \( \cos x-i \sin 2 x \) are
conjugate to each other for
A . \( x=n \pi \)
B. \( x=\left(n+\frac{1}{2}\right) \frac{\pi}{2} \)
c. \( x=0 \)
D. No value of \( x \)
| 2 |
Maths
|
The safest place during a thunderstorm is:
A. Under a tree
B. Near electricity poles
c. Inside a car
D. Lying on the ground
| 3 |
Physics
|
The hydride used as refrigerant in ice
plants is:
A . \( \mathrm{NH}_{3} \)
в. РНз \( _{3} \)
\( c \cdot \mathrm{N} \mathrm{Cl}_{3} \)
D. PCls
| 1 |
Chemistry
|
Find the value of \( \frac{i^{6}+i^{7}+i^{8}+i^{9}}{i^{2}+i^{3}} \)
| 2 |
Maths
|
The sum of two numbers is 45 and their
ratio is \( 7: 8 . \) Find the numbers.
| 2 |
Maths
|
If \( y^{2}=(x-c)^{3}, \) then find \( \frac{d y}{d x} \)
| 2 |
Maths
|
When one mole of \( P(g) \) is introduced in one litre closed rigid vessel maintained at constant temperature, the following equilibrium is established. \( \boldsymbol{P}(\boldsymbol{g}) \rightleftharpoons \boldsymbol{Q}(\boldsymbol{g})+\boldsymbol{R}(\boldsymbol{g}) \quad \Longrightarrow \boldsymbol{K}\left(\boldsymbol{C}_{1}\right) \)
\( \boldsymbol{R}(\boldsymbol{g}) \rightleftharpoons \boldsymbol{S}(\boldsymbol{g})+\boldsymbol{Q}(\boldsymbol{g}) \quad \Longrightarrow \boldsymbol{K}\left(\boldsymbol{C}_{2}\right) \)
f the final equilibrium pressure is 2 times of the initial pressure, then the value of \( \frac{\boldsymbol{K}\left(\boldsymbol{C}_{2}\right)}{\boldsymbol{K}\left(\boldsymbol{C}_{1}\right)} \) is
[Ratio of the equilibrium concentration of \( Q \text { and } R \text { is } 5] \)
| 1 |
Chemistry
|
If we increase the driving frequency in a circuit with a purely resistive load, then
amplitude \( V_{R} \)
A. remain in the same
B. increase
c. decrease
D. none
| 3 |
Physics
|
\( O_{3} \) acts as both oxidizing as well as
reducing agent.
| 1 |
Chemistry
|
A gas expands from volume \( V_{0} \) to \( 2 V_{0} \)
under three different processes. Process
is isobaric, 2 is isothermal and 3 is
adiabatic. Let \( \Delta U_{1}, \Delta U_{2} \) and \( \Delta U_{3} \) be
the change in internal energy of the gas
in these three processes. Then:
A \( \cdot \Delta U_{1}>\Delta U_{2}>\Delta U_{3} \)
B. \( \Delta U_{1}<\Delta U_{2}<\Delta U_{3} \)
\( \mathbf{c} \cdot \Delta U_{2}<\Delta U_{1}<\Delta U_{3} \)
D. \( \Delta U_{2}<\Delta U_{3}<\Delta U_{1} \)
| 3 |
Physics
|
A body executing \( S . H . M . \) along a
straight line has a velocity of \( 3 m s^{-1} \)
when it is at a distance of 4 m from its
mean position and \( 4 m s^{-1} \) when it is at
a distance of \( 3 m \) from its mean
position. Its angular frequency and amplitude are:
A \( \cdot 2 \) rad \( s^{-1} \) \& \( 5 m \)
B. 1 rad \( s^{-1} \) \& \( 10 m \)
c. 2 rad \( s^{-1} \) \& \( 10 m \)
D. 1 rad \( s^{-1} \) \& \( 5 m \)
| 3 |
Physics
|
The radius of a sphere is measured to be \( 5.3 \pm 0.1 \mathrm{cm} . \) Calculate the
percentage error in the measurement of
its volume.
A . \( 3.45 \% \)
B . \( 5.66 \% \) \%
c. \( 2.4 \% \)
D. 1.05\%\%\%\%
| 3 |
Physics
|
\( A B C D \) is a rectangle in which diagonal
\( A C \) bisects \( \angle A \) as well as \( \angle C . \) Show
that:
(i) \( A B C D \) is a square
(ii) diagonal \( B D \)
bisects \( \angle B \) as well as \( \angle D \)
| 2 |
Maths
|
There are 'mn' letters and n post boxes. The number of ways in which these
letters can be posted is:
A \( \cdot(m n)^{n} \)
B . \( (m n)^{m} \)
\( \mathrm{c} \cdot m^{m} \)
D. \( n^{m} \)
| 2 |
Maths
|
Adjoining figure shows a series \( R C L \) circuit connected to an ac source which
generates an alternating emf of frequency \( 50 H z . \) The reading of the
voltmeters \( V_{1} \) and \( V_{2} \) are \( 80 V \) and \( 60 V \)
respectively
Find:
The current in the circuit
| 3 |
Physics
|
When two dice are rolled :
List the outcomes for the event that
total is less than 5 .
| 2 |
Maths
|
For \( \mathbf{0} \leq \boldsymbol{x} \leq \mathbf{1}, \) the function \( \boldsymbol{f}(\boldsymbol{x})= \)
\( |\boldsymbol{x}|+|\boldsymbol{x}-\mathbf{1}| \) is
A. Monotonically increasing
B. Monotonically decreasing
c. constant function
D. Identity function
| 2 |
Maths
|
Which of the following has negative charge and pairs with opposite spin?
A. Proton
B. Neutron
c. Electron
D. Isotope
E. lon
| 1 |
Chemistry
|
A pair of compounds which is an illustration of law of multiple
proportions is:
A. \( H_{2} O \) and \( D_{2} O \)
в. \( N a O H \) and \( K O H \)
c. \( N a C l \) and \( N a B r \)
D. \( C O \) and \( C O_{2} \)
| 1 |
Chemistry
|
How many moles of \( N a O H \) are required to neutralize 1.2 moles of
\( \boldsymbol{H}_{2} \boldsymbol{S} \boldsymbol{O}_{4} ? \)
A. 0.6 mole
B. 1.2 mole
c. 2.4 mole
D. 3.6 mole
E . 4.8 mole
| 1 |
Chemistry
|
Plot \( A \& B \) represent variation of charge
with potential difference across the
combination (series and parallel) of two
capacitors. Then find the value of
capacitance of capacitors.
A \( .20 \mu F, 30 \mu F \)
B. \( 10 \mu F, 40 \mu F \)
с. \( 10 \mu F, 15 \mu F \)
D. \( 25 \mu F, 25 \mu F \)
| 3 |
Physics
|
Two concentric shells have radii \( \mathbf{R} \) and
2R, charges \( q_{A} \) and \( q_{B} \) and potentials \( 2 V \)
and \( (3 / 2) \vee \) respectively. Now shell \( B \) is
earthed and let charges on them
become \( \boldsymbol{q}_{\boldsymbol{A}}^{\prime} \) and \( \boldsymbol{q}_{\boldsymbol{B}}^{\prime} . \) Then:
This question has multiple correct options
\( \mathbf{A} \cdot q_{A} / q_{B}=1 / 2 \)
\( \mathbf{B} \cdot\left|q_{A}^{\prime}\right| /\left|q_{B}^{\prime}\right|=1 \)
C. Potential of A after earthing becomes (3/2)V
D. Potential difference between A and B after earthing becomes V/2
| 3 |
Physics
|
Find, in the given circuit, currents in
\( 10 \Omega \) and \( 100 \Omega \) resistors and the value
of R.
| 3 |
Physics
|
Explain law of multiple proportion.
| 1 |
Chemistry
|
The reaction in which reactants and the
catalyst have one phase is
1. heterogeneous catalysis
2. homogeneous catalysis
3. solid state catalysis
4. solution catalysis
| 1 |
Chemistry
|
Epimerase belongs to the class of
enzymes
A. Hydrolases
B. Ligases
c. Isomerases
D. Oxidoreductases
| 0 |
Biology
|
If the height of a triangle is decreased by \( 40 \% \) and its base is increased by \( 40 \% \). What will be the effect on its area?
A. Decreased by \( 16 \% \)
B. Increased by \( 16 \% \)
c. Decreased by \( 20 \% \)
D. Increased by \( 20 \% \)
| 2 |
Maths
|
\( _{\mathrm{H}_{3} \mathrm{C}}^{\mathrm{O}} \) 山 \( _{\mathrm{CH}_{3}} \frac{_{\mathrm{l}, \mathrm{NaBH}_{4}}}{2 . \mathrm{D}_{3} \mathrm{o}^{+}}>\mathrm{X} \)
\( \mathbf{X}=\mathbf{Y}=\quad \underset{\mathbf{H}_{3} \mathbf{C}}{\mathbf{C}} \stackrel{\mathbf{D}}{\mathbf{C}}_{\mathbf{C H}_{3}}^{\text {oD }} \)
\( \mathbf{X}=\mathbf{Y}=\underbrace{\mathbf{H}}_{\mathbf{H}_{3} \mathbf{C}}^{\mathbf{O} \mathbf{H}}_{\mathbf{C H}_{3}} \)
| 1 |
Chemistry
|
All straight wires are very long. Both \( \boldsymbol{A B} \)
and \( C D \) are arcs of the same circle,
both subtending right angles at the
centre \( O . \) Then the magnetic field at 0
is-
A \( \cdot \frac{\mu \text { is }}{4 \pi R R R} \)
B・ \( \frac{\mu_{\text {Di }}}{4 \pi} \sqrt{2} \)
c. \( \frac{\mu \text { li }}{2 \pi R_{R}} \)
D. \( \frac{\mu_{0} i}{2 \pi R}(\pi+1) \)
| 3 |
Physics
|
A given particle starts at \( x=1 \) on the
potential function \( U(x)=x^{2}-10 x+ \)
\( 25, \) where \( U \) is in Joules and \( x \) is in
meters. It then moves down the
potential gradient to \( x=3 \) where it has
\( 4 J \) of potential energy. If it started at rest, how much kinetic energy does it have as it passes through \( x=3 ? \)
A . 2.5
в. 45
\( c \cdot 8 J \)
D. 12.5
E .16 .5
| 3 |
Physics
|
An object is placed at a distance of 50 \( \mathrm{cm} \) from a concave lens of focal length
\( 20 \mathrm{cm} . \) Find the nature and position of the image.
| 3 |
Physics
|
Find the coordinates of the point \( \boldsymbol{P} \)
which divides the join of \( \boldsymbol{A}(-2,5) \) and \( B(3,-5) \) in the ratio 2: 3
| 2 |
Maths
|
n fig \( 10.49, \) ABCD is parallelogram
CE\perpAB,CF\perpAD and\angleBCE = 40^
Find the values of \( x, y \) and \( z \)
| 2 |
Maths
|
Deep black soil is considered to be
highly productive due to high proportion of
A. silt and earthworm
B. Clay and humus
c. Gravel and \( \mathrm{Ca}^{2} \)
D. sand and \( z n^{2+} \)
| 0 |
Biology
|
To use a transistor as an amplifier:
A. The emitter base junction is forward biased and the base collector junction is reverse biased
B. No bias voltage are required
C. Both junctions are forward biased
D. Both junction are reverse biased
| 3 |
Physics
|
The increasing order of specific charge of electron (e), proton (p), alpha partial
\( \alpha \) ) and neutron (n) is:
A. e, p, n, \( \alpha \)
B. n, p, e, \( \alpha \)
\( c \cdot n, \alpha, p, e \)
D. \( n, \) p, \( \alpha \), e
| 1 |
Chemistry
|
Which of the following are characteristics of ethene but not of
ethane
This question has multiple correct options
A. Carbon is \( s p^{3} \) hybridised
B. Carbon is \( s p^{2} \) hybridised
C. Allowed rotation through \( C-C \) bond and axis perpendicular to it
D. Forbidden rotation through \( C-C \) bond and axis
perpendicular to it
| 1 |
Chemistry
|
In 15 days, the earth picks up \( 1.2 \times 10^{8} \)
kg of dust from the atmosphere. In how many days it will pick up \( 4.8 \times 10^{8} \mathrm{kg} \)
of dust?
| 2 |
Maths
|
1.6 mole of \( \boldsymbol{P C l}_{5}(\boldsymbol{g}) \) is placed in \( \boldsymbol{4} \boldsymbol{d} \boldsymbol{m}^{3} \)
closed vessel. When the temperature is
raised to \( 500 K \), it decomposes and at
equilibrium 1.2 mole of \( P C l_{5}(g) \)
remains.What is the \( K_{c} \) value for the
decomposition of \( \boldsymbol{P} \boldsymbol{C l}_{\mathbf{5}}(\boldsymbol{g}) \) to \( \boldsymbol{P} \boldsymbol{C l}_{3}(\boldsymbol{g}) \)
and \( C l_{2}(g) \) at \( 500 K ? \)
\( \mathbf{A} \cdot 0.013 \)
B. 0.050
c. 0.033
D. 0.067
| 1 |
Chemistry
|
A card is drawn from a pack of 52 cards at random. The probability of getting neither an ace nor a king card is:
A \( \cdot \frac{2}{13} \)
в. \( \frac{11}{13} \)
c. \( \frac{4}{13} \)
D. \( \frac{8}{13} \)
| 2 |
Maths
|
Across the surface of a charged
conductor,
This question has multiple correct options
A. field is continuous
B. potential is continuous
C. field is discontinuous
D. potential is discontinuous
| 3 |
Physics
|
Find the following sum. \( \sum_{r=1}^{n}\left(6 r^{2}-2 r+6\right) \)
| 2 |
Maths
|
Two liquids \( A \) and \( B \) form ideal
solutions. At \( 300 K \), the vapour
pressure of a solution containing 1 mole of \( A \) and 3 moles of \( B \) is 550 mm
Hg. At the same temperature, if one
more mole of \( B \) is added to this
solution, the vapour pressure of the
solution increases by 10 mm \( H g \). The
vapour pressure of \( A \) and \( B \) in their
pure states are respectively:
A \( \cdot p_{A}^{o}=600 \mathrm{mm} \mathrm{Hg} \) and \( p_{B}^{o}=400 \mathrm{mm} \mathrm{Hg} \)
B . \( p_{A}^{o}=500 \mathrm{mm} \mathrm{Hg} \) and \( p_{B}^{o}=560 \mathrm{mm} \mathrm{Hg} \)
C \( \cdot p_{A}^{o}=450 \mathrm{mm} \mathrm{Hg} \) and \( p_{B}^{o}=650 \mathrm{mm} \mathrm{Hg} \)
D . \( p_{A}^{o}=400 \mathrm{mm} \mathrm{Hg} \) and \( p_{B}^{o}=600 \mathrm{mm} \mathrm{Hg} \)
| 1 |
Chemistry
|
Match the following and choose the
correct option.
\( \mathbf{A} \)
B. A- 4, B-1, C-2, D-3
C. \( A-4, B-1, C-3, D-4 \)
D. \( A-4, B-2, C-3, D-4 \)
| 0 |
Biology
|
For RNA-interference, two scientists got Nobel prize in \( 2006 . \) In which organism these scientists discovered this
process?
A. Paragonimus westermani
B. Hymenolepis nana
c. Echinococcus granulosus
D. caenorhabditis elegans
| 0 |
Biology
|
\( \boldsymbol{B}_{1}+\boldsymbol{B}_{2}+\ldots \ldots+\boldsymbol{B}_{49} \) is equal to
A. \( B_{0} \)
В. \( 7 B_{0} \)
\( \mathbf{c} \cdot 49 B_{0} \)
D. 49
| 2 |
Maths
|
A particle in S.H.M. has a period of 2
seconds and amplitude of \( 10 \mathrm{cm} \) Calculate the acceleration when it is at
\( 4 c m \) from its positive extreme position.
| 3 |
Physics
|
Water which gives lather with soap easily is called as hard water.
A. True
B. False
| 1 |
Chemistry
|
The measured potential for
\( M g^{2+}+2 e^{-} \rightleftharpoons M g(s) \)
does not depend upon:
A. raising the temperature
B. increasing the concentration of \( M g^{2+} \) ions
c. making the magnesium plate bigger
D. purity of magnesium plate
| 1 |
Chemistry
|
The general term of a sequence is given
by \( a_{n}=-4 n+15 . \) Is the sequence an
A.P? If so, find its 15 th term and the
common difference.
| 2 |
Maths
|
Among the following, the state
functions are:
This question has multiple correct options
A. Internal energy
B. Irreversible expansion work
C . Reversible expansion work
D. Molar enthalpy
| 1 |
Chemistry
|
The average weight of 15 Oarsmen in a
boat is increased by \( 1.6 \mathrm{kg} \) when one of the crew, who weigh \( 42 \mathrm{kg} \) is replaced
by a new man. Find the weight of the new man (in kg).
A . 65
B. 66
c. 43
D. 67
| 2 |
Maths
|
A chord of a circle of radius \( 12 \mathrm{cm} \)
subtends an angle of \( 120^{\circ} \) at the center
Find the area of the corresponding segment of the circle.
| 2 |
Maths
|
A capacitor 'C' is connected across a
D.C. source, the reactance of capacitor
will be
A . ZERO
в. Нाप्प
c. Low
D. INFINITE
| 3 |
Physics
|
The Kohlrausch law is realted to:
A. Conductance of ions at infinite dilution
B. Independent migration of ions
C. Both (a) and (b)
D. neither
(a) and (b)
| 1 |
Chemistry
|
Decreasing order of boiling point of \( I \) to
\( \boldsymbol{I} \boldsymbol{V} \) follow
Methylformate Ethylformate Iso-propylformate \[ _{I I I} \] n-Propylformtae
\( A \cdot|>||>|||>\mid V \)
B. ||| > IV > || > |
c. \( \mid V>\|>\|>1 \)
| 1 |
Chemistry
|
Find the typical de Broglie wavelength associated with a \( H e \) atom in helium
gas at room temperature \( \left(27^{\circ} C\right) \) and
1 atm pressure, and compare it with the mean separation between two atoms under these conditions.
A \( \cdot r_{0}=6.4 \times 10^{-9} \mathrm{m} \)
B . \( r_{0}=3.4 \times 10^{-9} \mathrm{m} \)
C \( \cdot r_{0}=4.4 \times 10^{-9} \mathrm{m} \)
D. \( r_{0}=5.4 \times 10^{-9} \mathrm{m} \)
| 3 |
Physics
|
A particle of mass \( \mathrm{M} \) at rest decays into
two masses \( m_{1} \) and \( m_{2} \) with non-zero
velocities. The ratio \( \lambda_{1} / \lambda_{2} \) of de Broglie
wavelengths of particles is
A \( \cdot m_{2} / m_{1} \)
в. \( m_{1} / m_{2} \)
c. \( \sqrt{m_{1}} / \sqrt{m_{2}} \)
in
D. 1:
| 3 |
Physics
|
The device that is used to protect
buildings from the effects of lightning is:
A. transformer
B. transducer
c. electrode
D. lightning conductor
| 3 |
Physics
|
Find the modulus and the argument of the complex number \( z=-1-i \sqrt{3} \)
| 2 |
Maths
|
What is the \( S_{\alpha} \) sulphur allotropes
called?
A. Rhombic
B. Monoclinic
c. Liquid
D. None of these
| 1 |
Chemistry
|
The equipotential surfaces corresponding to a single positive charge are concentric
spherical shells with the charge at its origin. The spacing between the surfaces for the same change in potential:
A. is uniform throughout the field
B. is getting closer as \( r \rightarrow \infty \)
c. is getting closer as \( r \rightarrow 0 \)
D. can be varied as one wishes to
| 3 |
Physics
|
If \( [\overrightarrow{\boldsymbol{a}} \overrightarrow{\boldsymbol{b}} \overrightarrow{\boldsymbol{c}}]=1 \) then \( \frac{\overrightarrow{\boldsymbol{a}} \cdot \overrightarrow{\boldsymbol{b}} \times \overrightarrow{\boldsymbol{c}}}{\overrightarrow{\boldsymbol{c}} \times \overrightarrow{\boldsymbol{a}} \cdot \overrightarrow{\boldsymbol{b}}}+\frac{\overrightarrow{\boldsymbol{b}} \cdot \overrightarrow{\boldsymbol{c}} \times \overrightarrow{\boldsymbol{a}}}{\overrightarrow{\boldsymbol{a}} \times \overrightarrow{\boldsymbol{b}} \cdot \overrightarrow{\boldsymbol{c}}}+ \)
\( \frac{\vec{c} \cdot \vec{a} \times \vec{b}}{\vec{b} \times \vec{c} \cdot \vec{a}} \) is equal to
\( A \cdot 3 \)
B. 1
\( c \cdot-1 \)
D. None of these
| 2 |
Maths
|
The time \( t, \) of a complete oscillation of a simple pendulum of length \( l \) is given by \( t=2 \pi \sqrt{\frac{l}{g}} \) where \( g \) is gravitational constant. Find the approximate percentage of errors in \( t \) when the
percentage of error \( l \) is \( 1 \% \)
| 3 |
Physics
|
An unknown composition of a mixture of carbon disulphide and hydrogen sulphide was burnt in sufficient
amount of oxygen. The resulting gases found to exert a pressure of 1.97 atm in a 20 I vessel at 400 K. The gaseous
mixture required 2.8 M iodine solution and \( 250 \mathrm{ml} \) of it was required to reach
the end point, forming \( \boldsymbol{I}^{-} \). Calculate the
mole fraction of \( \boldsymbol{C} \boldsymbol{S}_{2} \) in the original
mixture.
A. 0.2
B. 0.4
c. 0.6
D. 0.8
| 1 |
Chemistry
|
One diagonal of a square is the portion of \( \frac{x}{97}+\frac{y}{79}=1 \) intercepted between
the axes. \( \boldsymbol{p}_{1}, \boldsymbol{p}_{2} \) are the lengths of the perpendiculars from the vertices of the other diagonal on the axis of \( y \) then \( p_{1}^{2}+p_{2}^{2} \) is equal to
| 2 |
Maths
|
Determine the domain and range of the
following relations. \( \boldsymbol{S}=\{(\boldsymbol{a}, \boldsymbol{b}): \boldsymbol{b}=|\boldsymbol{a}-\mathbf{1}|, \boldsymbol{a} \in \boldsymbol{Z} \) and
\( |a| \leq 3\} \)
| 2 |
Maths
|
Which of the following can dissolve limestone?
A. \( C O_{2}+H_{2} O \)
в. \( N a O H_{2}+H_{2} O \)
c. \( N H_{3}+H_{2} O \)
D. None of these
| 1 |
Chemistry
|
Two waves of wavelengths \( 2 \mathrm{m} \) and 2.02 m respectively moving with the same velocity superpose to produce 2 beats
/s. The velocity of the wave is:
A. \( 400 \mathrm{m} / \mathrm{s} \)
B. 402 m/s
c. \( 404 \mathrm{m} / \mathrm{s} \)
D. \( 406 \mathrm{m} / \mathrm{s} \)
| 3 |
Physics
|
What is the range of molecular weight of cellulose?
| 1 |
Chemistry
|
Which of the given figures represents budding in hydra?
\( A \)
в.
\( c \)
D.
| 0 |
Biology
|
What are hormones? Give an example for each of the following:
(a) Steroid hormones
(b) Polypeptide hormones
(c) Amino acid derivatives
| 1 |
Chemistry
|
The valency of fluorine in \( C a F_{2} \) is :
\( \mathbf{A} \cdot \mathbf{1} \)
B. 2
\( c \cdot-1 \)
D. - -
| 1 |
Chemistry
|
Mean of 10 observations is 50 and their
standard deviation is \( 10 . \) If each
observation is subtracted by 5 and then
divided by \( 4, \) then the new mean and standard deviation are
A \( .22 .45,2.5 \)
В. 11.25,2.5
c. 11.5,2.5
D. 11,2.5
E . 11.75,2.5
| 2 |
Maths
|
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.