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With the increasing altitude, gauge
pressure:
A. increases
B. decreases
c. remains same
D. becomes zero | 3 | Physics |
Find the value of \( \lim _{x \rightarrow a} \frac{x^{n}-a^{n}}{x-a} \)
A \( \cdot n a^{n} \)
В \( \cdot n a^{n-1} \)
\( c \cdot n a \)
D. | 2 | Maths |
if \( \boldsymbol{x}, \boldsymbol{y} \boldsymbol{\epsilon}[\mathbf{0}, \boldsymbol{2} \boldsymbol{\pi}] \) and \( \sin \boldsymbol{x}+\sin \boldsymbol{y}=\boldsymbol{2} \) then
the value of \( x+y \) is
A . \( \pi \)
в.
\( c .3 \pi \)
D. None of these | 2 | Maths |
What are emulsions? Give examples | 1 | Chemistry |
In a p-n-p transistor, working as a common base amplifier, current gain is 0.96 and emitter current is \( 7.2 \mathrm{mA} \). The
base current is
\( A \cdot 0.20 \mathrm{mA} \)
B. 0.36 mA
c. \( 0.29 \mathrm{mA} \)
D. \( 0.45 \mathrm{mA} \) | 3 | Physics |
What will happen if the strip in a doorbell loses its flexibility?
A. Striker may break if current is large.
B. After hitting the metal gong, it never returns to original position and only a single sound is produced
c. system of doorbell breaks
D. Both A and B | 3 | Physics |
What is the minimum number of rays
required for locating the image formed by a concave mirror for an object. Draw a ray diagram to show the formation of a virtual image by a concave mirror | 3 | Physics |
A parallel plate capacitor is charged by a battery. The battery is disconnected and a
dielectric slab is inserted to completely fill the space between the plates. How will
(i) its capacitance,
(ii) electric
field between the plates and (iii) energy stored in the capacitor be affected? Justify your answer giving necessary mathematical expressions for each
case. | 3 | Physics |
Which of the statement is wrong:-
A. when all resistance are equal, then the sensitivity of wheatstone bridge is maximum.
B. when the galvanometer and the cell are interchanged, then the balancing of wheat stone bridge will be effected.
C. Kirchoff's first law for the currents meeting at the Junctions in an electric circuit shows the conservation of charge.
D. Rheostat can be used as potential divider. | 3 | Physics |
The tympanum is absent is
A. Dog fish
B. Cat fish
c. Bony fishes
D. All the fishes | 0 | Biology |
What change, if any, is observed in
frequency and wavelength when light travels fro air to glass? | 3 | Physics |
Name the purine bases and pyrimidine
bases present in RNA and DNA. | 1 | Chemistry |
A small sphere of mass \( m=2 k g \) moving with a velocity \( \bar{u}=\hat{4} i-7 \hat{j} m / s \) collides
with a smooth wall and returns with a velocity \( \bar{v}=\hat{i}-3 \hat{j} m / s . \) The magnitude
of the impulse received by the ball is
\( \mathbf{A} \cdot 5 k g m s^{-1} \)
В. \( 10 k g m s^{-1} \)
c. \( 20 \mathrm{kgms}^{-1} \)
D. \( 15 k g m s^{-1} \) | 3 | Physics |
To determine the solubility of a solute in water, a solution must be prepared that is
A. saturated
B. unsaturated
c. concentrated
D. supersaturated | 1 | Chemistry |
How many numbers between 5000 and
10,000 can be formed using the digits \( \mathbf{0}, \mathbf{1}, \mathbf{2}, \mathbf{3}, \mathbf{4}, \mathbf{5}, \mathbf{6}, \mathbf{7}, \mathbf{8}, \mathbf{9} \) each digit
appearing not more than once in each number
\( A \cdot 5 \times^{8} P_{3} \)
В. \( 5 \times^{8} C_{3} \)
c. \( 5 ! \times^{8} P_{3} \)
D. \( 5 ! \times^{8} C_{3} \) | 2 | Maths |
The most abundant isotope of hydrogen is:
A. tritium
B. deuterium
c. protium
D. para hydrogen | 1 | Chemistry |
The by-product formed in most of the
cases with the use of hydrogen is:
A. water
B. oxygen
c. carbon-dioxide
D. none of above | 1 | Chemistry |
Which of the following cyclopentane
derivative is optically inactive?
\( A \)
B.
\( c \)
\( D \) | 1 | Chemistry |
A uniform rod \( A B \) of length \( l \) and mass
\( m \) hangs from point \( A \) in a car moving
with velocity \( v_{0} \) on an inclined plane as
shown in the figure. The rod can rotate
in vertical plane about the axis at point
A. If the car suddenly stops, the angular
speed with which the rod starts rotating
is :
A \( \cdot \frac{3}{2} \frac{v_{0}}{l} \cos \theta \)
B. \( \frac{v_{0}}{2} \frac{\cos \theta}{l} \)
c. \( \frac{3}{2} \frac{v_{0}}{l} \sin \theta \)
\( D \) | 3 | Physics |
The excess temperature of a body falls
from \( 12^{\circ} \mathrm{C} \) to \( 6^{\circ} \mathrm{C} \) in 5 minutes, then the
time to fall the excess temperature
from \( 6^{\circ} \mathrm{C} \) to \( 3^{\circ} \mathrm{C} \) is (assume the
Newton's cooling is valid)
A . 10 minutes
B. 7.5 minutes
c. 5 minutes
D. 2.5 minutes | 3 | Physics |
The block shown moves with constant
velocity on a horizontal surface. Two of
the forces on it are shown. A frictiona
force exerted by the surface is the only other horizontal force on the block. The
frictional force is
\( A \)
c. \( 2 \mathrm{N} \), rightward
D. slightly more than 2 N, leftward | 3 | Physics |
For given reaction:
\( \boldsymbol{C r}_{2} \boldsymbol{O}_{7}^{2-} \stackrel{\boldsymbol{H}^{+}}{\longrightarrow} \boldsymbol{C r}^{3} \)
Eq.wt of \( \boldsymbol{C r}_{2} \boldsymbol{O}_{7}^{2-} \) is:
A. mol. wt. \( / 6 \)
B. mol. wt./3
c. mol. wt. \( / 4 \)
D. mol. wt./1 | 1 | Chemistry |
The diameter of a wire as measured by
screw gauge was found to be
2.620,2.625,2.628 and \( 2.626 \mathrm{cm} \)
Calculate absolute error in each
measurement.
A \( . \Delta a_{5}=2.626-2.626=+0.000 \mathrm{cm} \)
в. \( \Delta a_{4}=2.626-2.626=0.000 \mathrm{cm} \)
C. \( \Delta a_{3}=2.626-2.630=-0.004 \mathrm{cm} \)
D. All of these | 3 | Physics |
Loss of an electron is called :
A. reduction
B. oxidation
c. \( A \) or \( B \)
D. none of the above | 1 | Chemistry |
Write any 2 properties of thermal
radiations? | 3 | Physics |
In a mixture of kerosene and water,
kerosene forms the:
A. Lower layer
B. Upper layer
c. It mixes with water and forms no layer
D. Data insufficient | 1 | Chemistry |
Very short answer type. How much blood is in each ventricle at
the end of ventricular diastole and what
is this volume called? | 0 | Biology |
Astronauts on the orbiting space
station are weightless because...
A. there is no gravity in space and they do not weigh anything.
B. space is a vacuum and there is no gravity in a vacuum.
C. space is a vacuum and there is no air resistance in a
vacuum
D. None of the reasons given above are correct | 3 | Physics |
Six particles situated at the corners of a regular hexagon of side a move at a constant speed \( v . \) Each particle maintains a direction towards the
particle at the next corner. Calculate the time particles will take to meet each other. | 3 | Physics |
Choose correct statement.
A. Nitrogen is transported in plant xylem mainly in organic form
B. \( P \) and \( S \) are carried mainly in organic compounds in plants
C. There is no exchange of material between xylem and phloem
D. Xylem transport only inorganic nutrients | 0 | Biology |
The IUPAC name of the following compound is \( 1,2,5- \) tribromo \( -3,4,6- \)
trichlorobenzene
A. True
B. False | 1 | Chemistry |
When chlorine reacts with cold and
dilute solution of sodium hydroxide, the products obtained are:
A \( \cdot C l^{-}+C l O^{-} \)
в. \( C l^{-}+C l O_{2} \)
c. \( C l^{-}+C l O_{3} \)
D. \( C l^{-}+C l O_{4} \) | 1 | Chemistry |
Assertion
Helium will have fewer dispersion forces between its atoms than the other
noble gases
Reason
As the mass of nonpolar atoms and molecules increases, dispersion forces increase
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 |
If \( x \% \) of \( 250+25 \% \) of \( 68=67, \) then the
value of \( x \) is
A . 10
B . 15
c. 20
D. 25 | 2 | Maths |
\( \ln \) an \( A . P ., \) sum of \( p \) terms \( = \)
sum of q terms, then sum of \( (\boldsymbol{p}+\boldsymbol{q}) \)
terms equal to?
A . 0
B. 2
c. \( -p q \)
\( \mathbf{D} \cdot-(p+q) \) | 2 | Maths |
The mobility of free electrons (charge =e, mass = m and-relaxation
time \( \tau \) ) in a metal is proportional to:
A \( \cdot \frac{e}{m} \tau \)
в. \( \frac{m}{e} \tau \)
\( c \cdot \frac{e}{m \tau} \)
D. \( \frac{m}{e \tau} \) | 3 | Physics |
The formula \( Y=3 B(1-2 \sigma) \) relates
young's modulus and bulk's modulus with poisson's ratio. A theoretical physicist derives this formula incorrectly as \( Y=3 B(1-4 \sigma) \)
According to this formula, what would be the theoretical limits of poisson's
ratio:
A. Poisson's ratio should be less than 1
B. Poisson's ratio should be less than 0.5
c. Poisson's ratio should be less than 0.25
D. Poisson's ratio should be less than 0 | 3 | Physics |
An area of soil is thoroughly wetted and allowed to drain until capillary movement of water stopped. The water contents of the soil will give an
estimate of its
A. Capillary water
B. Storage water
c. Field capacity
D. Gravitational water | 0 | Biology |
For the cell reaction \( : C u^{2+}(a q)\left(C_{1}\right)+ \)
\( Z n(s) \rightarrow Z n^{2+}(a q)\left(C_{2}\right)+C u(s) \) the
change in free energy \( \Delta G \) at a given temperature is a function of
\( A \cdot \ln C_{1} \)
в. \( \ln \left(\frac{C_{2}}{C_{1}}\right) \)
\( \mathrm{c} \cdot \ln \left(C_{2}+C_{2}\right) \)
D. \( \ln \left(C_{2}\right) \) | 1 | Chemistry |
In \( 1902, \) periscope was used in submarine by:
A. Jefferson Simon
B. Charles Simon
c. simon Lake
D. George Lake | 3 | Physics |
n the given figure, the measure of
\( \angle B A C \) is
A \( \cdot 65^{\circ} \)
\( 3 \cdot 50^{\circ} \)
\( c \cdot 55^{\circ} \)
0.60 | 2 | Maths |
What is the total number of candidates
at an examination, if \( 31 \% \) fail and the
number of failing students is 248
A. 800
B. 900
c. 1,000
D. 1,100 | 2 | Maths |
Occupational lung diseases that occurs in humans, among those given below is
A. Dyspnea
B. Anthracosis
c. Atelectasis
D. Cyanosis | 0 | Biology |
Java man was discovered by
A . Leakey
B. Levis
c. Dubois
D. Oparine | 0 | Biology |
Calculate the useful work of the
reaction \( \boldsymbol{A} \boldsymbol{g}(\boldsymbol{s})+\mathbf{1} / \mathbf{2} \boldsymbol{C l}_{2}(\boldsymbol{g}) \rightarrow \)
\( A g C l(s) \)
\( \operatorname{Given} \boldsymbol{E}_{c_{2} / C l^{-}}^{0}=+\mathbf{1 . 3 6} \boldsymbol{V} \)
\( \boldsymbol{E}_{A \boldsymbol{g}|A \boldsymbol{g} C l| C l^{-}}^{0}=\mathbf{0 . 2 2} \boldsymbol{V} \) if \( \boldsymbol{P}_{C l_{2}}=\mathbf{1} \boldsymbol{a} \boldsymbol{t m} \)
and \( \boldsymbol{T}=\mathbf{2} \mathbf{9} \mathbf{8} \boldsymbol{K} \)
A. 110 kJ/mol
B. 220 kJ/mol
c. 55 kJ/mol
D. 1000 kJ/mol | 1 | Chemistry |
Q Type your question-
nuticy. uuuy ur uiagial carefully and answer the questions that
follow:
(i) Label the parts numbered 1 to 4
(iii) Why does part' '2' have striped
appearance?
(iiii) What is the fluid that passes down
part ' 4 '? Name the main nitrogenous
waste present in it.
(iv) Mention the structural and
functional units of kidneys.
\( (v) \) Name the two major steps in the formation of the fluid mentioned in \( (\boldsymbol{i} \boldsymbol{i} \boldsymbol{i}) \) | 0 | Biology |
Explain how hypothyroidism and hyperthyroidism can effect the body? | 0 | Biology |
"The final Agent Orange raid in Vietnam took place in 1970 areas
have begun to bloom in 1970. But 19
years after the war's end, it seem plain that Agent Orange is killing and maiming human beings, something it never intended to do. The apparent toxic fallout from those clouds \( _{---} \) is a crop
of human miseries including cancers, miscarriages and birth defects - that
may persist for decades." The offensive substance referred to in
this quotation is
A. A complex minute of DDT and other insecticides used as aerial sprays for protection against malaria and other tropical diseases
B. A complex mixture of herbicides and weedicides used to increase agricultural output in the South Vietnam under the U.S. aid programme
c. Dot used as an insecticide
D. Dioxin used as defoliants | 1 | Chemistry |
Marshalls acid is prepared by the
electrolytic oxidation of \( H_{2} S O_{4} \) as
\( 2 H_{2} S O_{4} \rightarrow H_{2} S_{2} O_{8}+2 H^{\oplus}+2 e^{-} \)
Oxygen and hydrogen are byproducts. In
such Electrolysis 2.24 L of \( H_{2} \) amd \( 0.56 \mathrm{L} \)
\( O_{2} \) were produced at STP. The weight of
\( H_{2} S_{2} O_{8} \) formed is:
A \( .9 .7 g \)
в. \( 19.4 g \)
c. \( 14.55 g \)
D. \( 29.1 g \) | 1 | Chemistry |
The centripetal force acting on a
satellite revolving round the earth is \( \boldsymbol{F} \) The gravitational force on that planet is also \( F . \) The resultant force on the
satellite is
A . zero
в. \( F \)
c. \( 2 F \)
D. \( \frac{F}{2} \) | 3 | Physics |
If wavelength of a wave is \( 100 \mathrm{m} \), then
100 waves will cover distance.
\( A \cdot 10 \mathrm{km} \)
B. \( 1 \mathrm{km} \)
\( c .100 \mathrm{km} \)
D. \( 100 \mathrm{m} \) | 3 | Physics |
Ammonia, \( N H_{3} \) and hydrazine \( N_{2} H_{4} \)
are both binary compounds of nitrogen and hydrogen. Based on the law of
multiple proportions, how many milligrams of hydrogen would you expect \( 2.34 g \) of nitrogen to combine with to yield ammonia? | 1 | Chemistry |
Factories \( : \boldsymbol{p}^{2}+\mathbf{6} \boldsymbol{p}+\mathbf{8} \) | 2 | Maths |
Find the energy needed to remove a
proton from nucleus. | 3 | Physics |
Assertion
\( X e F_{4} \) may be estimated by titrating the
\( I_{2} \) by reaction with \( K I \)
Reason
Equivalent weight of \( N a_{2} S_{2} O_{3} \) can be determined by iodimetric titration.
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 true but Reason is false
D. Assertion is false but Reason is true | 1 | Chemistry |
Write the IUPAC name of the given compound and classify it into primary, secondary and teritiary amine
\( \left(\boldsymbol{C} \boldsymbol{H}_{3}\right)\left(\boldsymbol{C} \boldsymbol{H}_{2}\right)_{2} \boldsymbol{N} \boldsymbol{H}_{2} \) | 1 | Chemistry |
One volume of nitrogen combines with one volume of oxygen to form two
volumes of nitric oxide. Calculate the
amount of each reactant required to produce \( 250 \mathrm{ml} \) of nitric oxide.
A \( \cdot N_{2}=100 \mathrm{ml}, \mathrm{O}_{2}=100 \mathrm{ml} \)
в. \( N_{2}=120 \mathrm{ml}, \mathrm{O}_{2}=120 \mathrm{ml} \)
c. \( N_{2}=125 \mathrm{ml}, \mathrm{O}_{2}=125 \mathrm{ml} \)
D. \( N_{2}=100 \mathrm{ml}, \mathrm{O}_{2}=125 \mathrm{ml} \) | 1 | Chemistry |
Assertion
The diamond shines due to multiple
total internal reflections
Reason
The critical angle for diamond is \( 24.4^{\circ} \)
A. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
B. Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion
c. Assertion is correct but Reason is incorrect
D. Both Assertion and Reason are incorrect | 3 | Physics |
Para hydrogen is:
A. less stable than ortho hydrogen
B. more stable than ortho hydrogen
C . as stable as ortho hydrogen
D. None of these | 1 | Chemistry |
In the given figure \( A B \) is the diameter where \( \boldsymbol{A P}=\mathbf{1 2} \mathrm{cm} \boldsymbol{P B}=\mathbf{1 6 c m} \) taking
the value of \( \pi=3 \) find the perimeter of
the shaded region | 2 | Maths |
The diagram below shows a part of the
skelecton of the periodic table in which
elements are indicated by letters which
are not their usual symbols.
Which one of the following statement is
correct?
A. The greatest ionic character of compounds formed by reaction of pairs of the listed elements would be
exhibited by the compounds with the formula \( M_{2} \)
B. The \( J^{2+} \) ion is colored and has an electronic
configuration of \( 1 s^{2}, 2 s^{2}, 2 p^{6}, 3 s^{2}, 3 p^{6}, 3 d^{7} \)
C. Element \( R \) is a gas at room temperature
D. Element T is an inert gas with an electronic configuration \( 1 s^{2}, 2 s^{2}, 2 p^{6}, 3 s^{2}, 3 p^{6}, 3 d^{10}, 4 s^{2}, 4 p^{6} \) | 1 | Chemistry |
In figure a wire perpendicular to a long straight wire is moving parallel to the later with speed \( \boldsymbol{v}=\mathbf{1 0 m} / \boldsymbol{s} \) in the
direction of the current flowing in the
later. The current is \( 10 A \). What is the
magnitude of the potential difference between the ends of the moving wire?
A \( \cdot\left(5 \times 10^{-4}\right) \ln (10) V \)
B \( \cdot\left(7 \times 10^{-4}\right) \ln (10) V \)
\( \mathbf{c} \cdot\left(2 \times 10^{-4}\right) \ln (2) V \)
D. \( \left(2 \times 10^{-5}\right) \ln (10) V \) | 3 | Physics |
A hydraulic lift at a service station can
lift cars with a mass of 3500 kg. The
area of cross section of the piston
carrying the load is \( 500 \mathrm{cm}^{2} \). What
pressure does the smaller piston
experience? \( \boldsymbol{g}=\mathbf{9 . 8 m} / \boldsymbol{s}^{2} \) | 3 | Physics |
Sublimation is a process in which a
solid.
A. Changes into another allotropic form
B. Changes into liquid form
c. changes into vapour form
D. None of the above | 3 | Physics |
The density of ammonia at \( 30^{\circ} \mathrm{C} \) and 5
atm pressure is:
A .3 .42 g/
B. 2.42 g/L
c. \( 1.171 g / L \)
D. \( 3.84 \mathrm{g} / \mathrm{L} \) | 1 | Chemistry |
Which of the following represents a conjugate acid/base pair?
A. \( N a^{+} / C l^{-} \)
в. \( H C l / H^{+} \)
c. \( H_{2} C O_{3} / C O_{3}^{2} \)
D. \( N H_{3} / N H_{4}^{+} \)
E . \( K^{+} / O H^{-} \) | 1 | Chemistry |
A card is thrown from a pack of 52 cards
so that each cards equally likely to be
selected. Determine whether in the
following case are the events \( A \) and \( B \) independent. \( A= \) the card is drawn is a spade, \( B= \) the card is drawn in an ace. | 2 | Maths |
A particle moving rectilinearly with constant acceleration is having initia velocity of \( 10 \mathrm{m} / \mathrm{s} \). After some time, its velocity becomes \( 30 \mathrm{m} / \mathrm{s} \). Find out velocity of the particle at the mid point of its path?
A \( \cdot 10 \sqrt{5} \mathrm{m} / \mathrm{s} \)
B. \( 50 \sqrt{5} \mathrm{m} / \mathrm{s} \)
c. \( 60 \sqrt{5} \mathrm{m} / \mathrm{s} \)
D. \( 5 \sqrt{5} \mathrm{m} / \mathrm{s} \) | 3 | Physics |
Which of the following base is used in the manufacturing of bleaching powder?
A. Sodium hydroxide
B. Calcium hydroxide
c. Magnesium oxide
D. Ammonium hydroxide | 1 | Chemistry |
Solve: \( 3 n+7=1 \) | 2 | Maths |
A box contains 10 white, 6 red and 10
black balls. A ball is drawn at random
from the box. What is the probability
that the ball drawn is either white or
red?
A \( \cdot \frac{7}{13} \)
в. \( \frac{7}{12} \)
c. \( \frac{8}{13} \)
D. \( \frac{9}{15} \) | 2 | Maths |
A gas is taken through the cycle \( A B C A \)
as shown. What is the net work done by
the gas?
\( A \cdot 3000 J \)
в. \( 1000 J \)
c. zer
D. 2000J | 3 | Physics |
contains how many \( 2^{\circ} \) carbons?
\( A \)
B. 2
\( c \cdot 3 \)
D. 4 | 1 | Chemistry |
Water of crystallization is the fixed number of water molecules chemically attached to a unit of a salt in its
crystalline form.
A. True
B. False | 1 | Chemistry |
Which of the following sets of quantum numbers represents the 19th electron of \( \boldsymbol{C r}(\boldsymbol{Z}=\mathbf{2 4}) ? \)
\( ^{\mathbf{A}} \cdot\left(4,1,-1,+\frac{1}{2}\right) \)
в. \( \left(4,0,0,+\frac{1}{2}\right) \)
c. \( \left(3,2,0,-\frac{1}{2}\right) \)
D. \( \left(3,2,-2,+\frac{1}{2}\right) \) | 1 | Chemistry |
Find the sum of \( n \) terms of the A.P.
whose kth terms is \( 5 k+1 \) | 2 | Maths |
The laws of forces that govern the force between two electric charges were discovered by :
A. Faraday
B. Ampere
\( c . \) onm
D. Coulumb | 3 | Physics |
What is the most important change marked by puberty? | 0 | Biology |
Which gas emits on burning of rice
straw?
\( A \cdot S O_{2} \)
в. \( N H_{3} \)
\( c \cdot O_{3} \)
D. \( H_{2} \). | 1 | Chemistry |
Which of the following has more acidic
in nature?
A. HCIO
в. нсЮо
c. нс \( \operatorname{lo}_{3} \)
D. \( \mathrm{HClO}_{4} \) | 1 | Chemistry |
In a SHM, when the displacement is one half the amplitude, what fraction of the total energy is kinetic?
A. zero
B. \( 1 / 4 \)
\( c \cdot 1 / 2 \)
D. 3/4 | 3 | Physics |
Based on development stage, tissues can be
A. Apical and intercalary meristems
B. Meristematic and permanent
c. Primary and secondary meristem
D. Promeristem and primordial meristems | 0 | Biology |
A metallic rod of \( ^{\prime} \boldsymbol{L}^{\prime} \) length is rotated
with angular frequency of \( ^{\prime} \omega^{\prime} \) with one
end hinged at the centre and the other
end at the circumference of a circular
metallic ring of radius \( L \) about an axis
passing through the centre and perpendicular to the plane of the ring. \( \mathbf{A} \)
constant and uniform magnetic field \( \boldsymbol{B} \) parallel to the axis is present
everywhere. Deduce the expression for
the emf between the centre and the
metallic ring.
(a)
\( (b) \) | 3 | Physics |
Two rings of radius \( R \) and \( n R \) made up of same material have the ratio of
moment of inertia about an axis
passing through centre \( 1: 8 . \) The value
of \( n \) is
A .2
B. \( 2 \sqrt{2} \)
\( c \cdot 4 \)
D. \( \frac{1}{2} \) | 3 | Physics |
Divide \( \boldsymbol{x}(\boldsymbol{x}+\mathbf{1})(\boldsymbol{x}+\mathbf{2})(\boldsymbol{x}+\boldsymbol{3}) \) by
\( (x+3)(x+2) \)
A. \( x(x+3) \)
в. \( x(x+2) \)
c. \( (x+1) \)
D. \( x(x+1) \) | 2 | Maths |
An electric circuit is composed of three
conducting rods \( M O, O N \) and \( P Q \) as
shown in figure. The resistance of the
rods per unit length is \( \lambda \). The rod \( P Q \)
slides, as shown in the figure, at a constant velocity \( v, \) keeping its tilt
angle relative to \( O N \) and \( N=M O \)
fixed \( 45^{\circ} . \) At each instance, the circuit
is closed. The whole system is embedded in a uniform magnetic field
\( B, \) which is directed perpendicularly into the page. Compute the timedependent induced electric current induced in the rods? | 3 | Physics |
In a reaction involving one single reactant, the fraction of the reactant
consumed may be defined as \( \boldsymbol{f}= \) \( \left(1-\frac{C}{C_{0}}\right) \) where \( C_{0} \) and \( C \) are the concentrations of the reactant at the
after time, t. For a first order reaction:
A \( \cdot \frac{d f}{d t}=k(1-f) \)
B. \( -\frac{d f}{d t}=k f \)
c. \( -\frac{d f}{d t}=k(1-f) \)
D. \( \frac{d f}{d t}=k f \) | 1 | Chemistry |
In fungi, sporangiospores and ascospores are found in bag-like
structures but are always present in
even numbers. These spore types are not same because
A. They are basically the same, but the sporangiospores are always larger.
B. Ascospores are formed as a result of meiosis, while sporangiospores are a result of mitosis
c. Sporangiospores are produced by sexual recombination, while ascospores are produced asexually.
D. They are basically the same, but ascospores are always larger.
E. The structure are the same, but they were named differently before they were determined to have the same function | 0 | Biology |
Rutherford experiment of scattering of \( \alpha \) particles showed for the first time
that the atom has:
A . electron
B. protons
c. nucleus
D. all of these | 3 | Physics |
The direction ratios of the line joining the points (4,3,-5) and (-2,1,-8) are
A \( \cdot \frac{6}{7}, \frac{2}{7}, \frac{3}{7} \)
в. 6,2,3
c. 5,8,0
D. 3,7,9 | 2 | Maths |
The final step for the extraction of
copper pyrites in Bessemer converter involves the reaction
A \( \cdot C u_{2} S+2 F e O \rightarrow 2 C u+2 F e+S O_{2} \)
в. \( C u_{2} S+2 C u_{2} O \rightarrow 6 C u+S O_{2} \)
c. \( 4 C u_{2} O+F e S \rightarrow 8 C u+2 F e S O_{4} \)
D. \( 2 C u_{2} O+F e S \rightarrow 4 C u+F e+S O_{2} \) | 1 | Chemistry |
Which among the following is a paramagnetic compound?
A \( \cdot N_{2} O \)
B. \( N O \)
\( \mathrm{c} \cdot \mathrm{N}_{2} \mathrm{O}_{3} \)
D. \( N_{2} O_{4} \) | 1 | Chemistry |
Assertion
Neural signals through sympathetic nerves can increases the strength of ventricular contraction
Reason
Parasympathetic neural signals synergistically act with sympathetic
neural signal to increase the cardiac
output.
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 | 0 | Biology |
The nature of the magnetic field in a moving coil galvanometer is Radial magnetic field. State True or False. | 3 | Physics |
The real and imaginary parts of \( \log (1+i)= \)
\( ^{A} \cdot\left(\frac{1}{2}, \frac{\pi}{4}\right) \)
B \( \cdot\left(\log 2, \frac{\pi}{4}\right) \)
\( ^{\mathbf{c}} \cdot\left(\log \sqrt{2}, \frac{\pi}{4}\right) \)
\( ^{\mathrm{D}} \cdot\left(\log \frac{1}{2}, \frac{\pi}{4}\right) \) | 2 | Maths |
A metallic wire is subjected to stress and compression periodically with very high stresses. How will the plot of the
stress-strain relationship be indicated
A. Straight line
B. Circle
c. Hysteresis curve
D. Elliptical | 3 | Physics |
Gastric acid mainly consists of:
A. \( H_{2} S O_{4} \)
в. \( H_{2} \).
c. \( H C l \)
D. all of the above | 1 | Chemistry |
Maximum safe speed does not depend
upon
A. radius of curvature
B. angle of inclination with the horizontal
c. mass of the vehicle
D. acceleration due to gravity | 3 | Physics |
In a volume of \( 5 d m^{3}, 26 \) moles of pure \( A \)
and 4 moles of pure \( B \) were placed. At
equilibrium 1 mol of \( C \) was present.
Calculate \( K_{c} \) for the reaction, \( \boldsymbol{A}+\boldsymbol{2} \boldsymbol{B} \rightleftharpoons \boldsymbol{C} \) | 1 | Chemistry |
The distance PQ is?
\( \mathbf{A} \cdot 20 \mathrm{m} \)
\( \mathbf{B} \cdot 10 \sqrt{3} \mathrm{m} \)
\( c \cdot 10 m \)
D. 5 m | 3 | Physics |
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