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What role does adsorption play in heterogeneous catalysis? | 1 | Chemistry |
Papillary muscle is found in
A . Heart
B. Liver
c. Kidney
D. Lung | 0 | Biology |
The middle term in the expansion of \( \left(x+\frac{1}{x}\right)^{10} \)
A \( \cdot \) io \( _{1} \frac{1}{x} \)
в. \( ^{10} C_{5} \)
c. \( ^{10} C_{6} \)
D. \( ^{10} C_{7} x \) | 2 | Maths |
When you ride a cycle, force(s) acting on the cycle is/are
A. muscular force
B. force of friction
c. gravitational force
D. all of the above | 3 | Physics |
If \( A+B=45^{\circ}, \) prove that \( (\cot A- \)
1) \( (\cot B-1)=2 \) | 2 | Maths |
Statement 1: In simple harmonic motion, the velocity is maximum when the acceleration is minimum.
Statement 2: Displacement and velocity of \( S . H . M \) differ in phase by \( \frac{\pi}{2} \)
A. Statement 1 is false, Statement 2 is true
B. Statement 1 is true, Statement 2 is true; Statement 2 is the correct explanation for Statement 1
c. statement 1 is true, statement 2 is true; Statement 2 is not the correct explanation for Statement 1
D. Statement 1 is true, Statement 2 is false | 3 | Physics |
Fill in the blank.
The reflection of sunlight takes place the water droplets to
form a rainbow.
A . outside
B. inside
c. beside
D. below | 3 | Physics |
In the given figure two concentric circle
with centre \( O \) have radii \( 21 c m \) and
\( 42 c m . \) If \( A O B=60 \) Find the area of the
shaded region (Use \( \left.\pi=\frac{22}{7}\right) \) | 2 | Maths |
If \( \sin ^{-1} x+\sin ^{-1} y+\sin ^{-1} z=\frac{3 \pi}{2} \) and
\( \boldsymbol{f}(\mathbf{1})=\mathbf{1}, \boldsymbol{f}(\boldsymbol{p}+\boldsymbol{q})= \)
\( \boldsymbol{f}(\boldsymbol{p}) \cdot \boldsymbol{f}(\boldsymbol{q}) \quad \forall \boldsymbol{p}, \boldsymbol{q} \in \boldsymbol{R} \operatorname{th} \operatorname{en} \boldsymbol{x}^{f(1)}+ \)
\( \boldsymbol{y}^{f(2)}+\boldsymbol{z}^{f(\boldsymbol{3})}-\frac{\boldsymbol{x}+\boldsymbol{y}+\boldsymbol{z}}{\boldsymbol{x}^{f(1)}+\boldsymbol{y}^{f(2)}+\boldsymbol{z}^{f(3)}}= \)
\( A \cdot O \)
в.
\( c \cdot 2 \)
\( D \) | 2 | Maths |
At a given instant, there are \( 25 \% \) undecayed radioactive nuclei in a sample. After \( 10 \mathrm{s} \), the number of undecayed nuclei reduces to \( 12.5 \% \) Calculate
(a) mean life of the nuclei and
(b) the time in which the number of
decayed nuclei will further reduce to
\( 6.25 \% \) of the reduced number | 3 | Physics |
f \( p(x)=x^{42}-2 k \) is divided by \( (x+1) \)
the remainder is \( 9, \) what is the value of
k? | 2 | Maths |
Evaluate the integral \( \int_{3}^{5}(2-x) d x \) | 2 | Maths |
The magnitude of pressure measured in
Sl system is greater than that measured in CGS system.
A. True
B. False | 3 | Physics |
If \( \Delta \mathbf{A B C} \sim \)
\( \Delta P Q R \) then find value of \( y+3 \) | 2 | Maths |
What are the products formed when
ammonia is oxidized with copper oxide?
A . \( N_{2} \)
в. \( H_{2} \) С
c. \( C u \)
D. All of the above | 1 | Chemistry |
0 is a point that lies in the interior of \( \Delta A B C . \) Then \( 2(O A-O B-O C)> \)
Perimeter of \( \Delta A B C \)
A. True
B. False | 2 | Maths |
Which building material is least likely to be rapidly eroded by acid rain?
A. Marble
B. Sand stone
c. Granite
D. lime stone | 1 | Chemistry |
Fumarase belong to the major class of:
A. oxidoreductases
B. transferases
c. hydrolases
D. ligases | 0 | Biology |
What is Bond formation?
A. always exothermic
B. always endothermic
C. neither exothermic nor endothermic
D. Sometimes exothermic and sometimes endothermic | 1 | Chemistry |
Three charges \( 2 q,-q \) and \( -q \) are located at the vertices of an equilateral triangle. At the centre of the triangle:
A. the field is zero but potential is non-zero
B. the field is non-zero, but potential is zero
c. both field and potential are zero
D. both field and potential are non-zero | 3 | Physics |
A body travels \( 200 \mathrm{cm} \) in the first two
seconds and \( 220 \mathrm{cm} \) in the next 4 seconds with deceleration. The velocity
of the body at the end of the \( 7^{\text {th }} \) second
is
\( A \cdot 20 \mathrm{cm} / \mathrm{s} \)
B. \( 15 \mathrm{cm} / \mathrm{s} \)
c. \( 10 \mathrm{cm} / \mathrm{s} \)
D. \( 0 \mathrm{cm} / \mathrm{s} \) | 3 | Physics |
The derivative of \( \boldsymbol{y}=(1-\boldsymbol{x})(2- \)
\( x) \ldots(n-x) \) at \( x=1 \) is equal to
A . 0
в. (-1)\( (n-1) ! \)
c. \( n !-1 \)
D \( \cdot(-1)^{n-1}(n-1) ! \)
E \( \cdot(-1)^{n}(n-1) ! \) | 2 | Maths |
The amount of energy released when
one mole of ionic solid is formed by packing of gaseous ion is called:
A. Ionization energy
B. Solvation energy
c. Lattice energy
D. Hydration energy | 1 | Chemistry |
(a) What are the aims of watershed
management?
(b) Mention the problems caused by the construction of large dams. | 0 | Biology |
The equilibrium constant for the
following reaction at \( 25^{\circ} \mathrm{C} \) is \( 2.9 \times 10^{9} \)
Calculate standard voltage of the cell.
\( \boldsymbol{C l}_{2(\boldsymbol{g})}+\boldsymbol{B r}_{(\boldsymbol{a q})}^{-} \rightleftharpoons \boldsymbol{2} \boldsymbol{C l}_{(\boldsymbol{a q})}^{-} \)
\( \mathbf{A} \cdot 0.18 \mathbf{V} \)
B. \( 0.22 v \)
c. \( 0.26 v \)
D. \( 0.28 \mathrm{v} \) | 1 | Chemistry |
State whether True or False:
Scalar and Vector, both obey law of
vector algebra.
A. True
B. False | 3 | Physics |
The structure of phenacetin is
\( A \)
B.
\( c \)
\( D \) | 1 | Chemistry |
\( \frac{x^{2}}{8-a}+\frac{y^{2}}{a-2}=1 \) represents an
ellipse.Then find range of 'a' | 2 | Maths |
A particle executes SHM with a frequency f and its amplitude is A. If the frequency is doubled, the amplitude will be
\( A \cdot A / 2 \)
B. A
c. \( 2 A \)
D. A/4 | 3 | Physics |
The number of steps involved in the manufacturing of nitric acid through
Ostwald's process is:
\( A \)
B. 5
\( c \cdot 3 \)
D. | 1 | Chemistry |
Which of the following experiments have equally likely outcomes? Explain.
(i) A driver attempts to start a car. The car starts or does not start.
(ii) A player attempts to shoot a basketball. She/he shoots or misses the
shot
(iii) \( A \) trial is made to answer a true-
false question. The answer is right or
wrong.
(iv) A baby is born. It is a boy or a girl | 2 | Maths |
The IUPAC name of chloretone is:
A. Trichloroacetone.
B. Trichloronitromethane
C . 1,1,1 -Trichloro-2-methyl-2-propanone.
D. 1,1,1 -Trichloro-2-methyl-2-propanol | 1 | Chemistry |
A thin straight vertical conductor has
10amp current flows vertically upwards. It is present at a place where \( B_{H}=4 \times 10^{-6} T . \) At which point
magnetic feild will be maximum
A. \( 0.5 m \) on south of conductor
B. \( 0.5 m \) on west of conductor
\( \mathrm{c} .0 .5 \mathrm{m} \) on east of conductor
D. \( 0.5 m \) on north-east of conductor | 3 | Physics |
To make gloves for an electrician, the
material that is most suitable is rubber
Which material has the most similar
properties?
\( \mathbf{A} \cdot M O 1 \)
в. \( M O 2 \)
c. \( M O 3 \)
D. All of these | 1 | Chemistry |
The focal length of a concave mirror is \( 50 \mathrm{cm} \) where an object is to be placed so that its image is two times magnified, real and inverted:
A. \( 75 \mathrm{cm} \)
B. 72 cm
\( c \cdot 63 \mathrm{cm} \)
D. 50 cm | 3 | Physics |
Ortho-hydrogen and para-hydrogen resembles in which of the following
property?
A. Thermal conductivity
B. Magnetic properties
c. chemical properties
D. Heat capacity | 1 | Chemistry |
Two monomers in maltose are:
A. \( \alpha-D- \) glucose and \( \alpha-D- \) Fructose
B. \( \alpha-D- \) glucose and \( \alpha-D- \) galactose
C \( . \alpha-D- \) glucose and \( \alpha-D- \) glucose
D. \( \alpha-D- \) glucose and \( \beta-D- \) glucose | 1 | Chemistry |
Assertion(A): If one arm of a \( U \) -tube
containing a diamagnetic solution is placed in between the poles of a strong magnet with the level in line with the
field, the level of the solution falls Reason(R): Diamagnetic substances are repelled by the magnetic field
A. both \( A, R \) are true and \( R \) is the correct explanation of
B. both A,R are true and R is not correct explanation of A
c. A is true, R is false
D. A is false R is true | 3 | Physics |
In which of the following ionization processes, the bond order has increased and the magnetic behaviour has changed?
\( \mathbf{A} \cdot C_{2} \rightarrow C_{2}^{+} \)
в. \( N O \rightarrow N O^{+} \)
\( \mathbf{c} \cdot O_{2} \rightarrow O_{2}^{+} \)
\( \mathbf{D} \cdot N_{2} \rightarrow N_{2}^{+} \) | 1 | Chemistry |
A body starts from rest and falls vertically from a height of 19.6 meters. If \( g=9.8 \mathrm{m} / \mathrm{sec} 2 . \) Then, what is the distance
traveled by the body in the last 0.1 second of its motion? | 3 | Physics |
Which one of the following is not a second messenger in hormone action?
A. Sodium
B. сАМР
c. сGмР
D. Calcium | 0 | Biology |
Sum of all components in normalized histogram is equal to
A . 0
B.
c. 100
\( D \) | 2 | Maths |
A plane progressive wave is given by
\( \boldsymbol{y}=2 \cos 6.284(330 t-x) . \) What is
period of the wave?
\( ^{A} \cdot \frac{1}{33^{0}} \)
В. \( 2 \pi \times 330 s \)
c. \( (2 \pi \times 330)^{-1} \) s
D. \( \frac{6.284}{330} \) | 3 | Physics |
Match the following
Physical Quantity Unit in ¿uc is an a it \( \begin{array}{l}\text { a) Magnetic Moment } \\ \text { b) Magnetic Flux Density } \\ \text { c) Intensity of Magnetic Field } & \text { e) } A m p-m \\ \text { d) Pole strength } & \text { g) } N-m^{3} / W b \\ \text { h) Gauss }\end{array} \)
\( A \cdot a-e, b-f, c-g, d-h \)
B. \( a-g, b-h, c-f, d-e \)
\( \mathbf{C} \cdot a-g, b-f, c-h, d-e \)
D. a-e, b-f, c-h, d-g | 3 | Physics |
The highest term in the expansion of \( (2 \sqrt{5}+\sqrt[6]{7})^{6} \) is
A. \( 800 \sqrt{35} \)
55
в. \( 700 \sqrt{35} \)
c. \( 320 \sqrt{5} \)
D. \( 100 \sqrt{7} \) | 2 | Maths |
In a speed-time graph, the area enclosed by the speed-time curve and the time axis gives
A. Velocity
B. Acceleration
c. speed
D. Distance travelled | 3 | Physics |
Paper snippets attracted by a charged
CD is an example of
A. charging by induction
B. charging by conduction
c. charging by ionisation
D. charging by transmission | 3 | Physics |
The moment of inertia of a uniform
semicircular wire of mass \( \mathrm{M} \) and radius
about a line perpendicular to the plane of the wire through the centre is | 3 | Physics |
The weight of a cubic meter of a certain
metal is 480 kg. It is melted and then rolled into a square bar \( 4 m \) long. Now, an exact cube is cut from it. Find the
weight of the cube
A. \( 240 \mathrm{kg} \)
в. \( 80 \mathrm{kg} \)
c. \( 120 \mathrm{kg} \)
D. \( 60 \mathrm{kg} \) | 2 | Maths |
The oxy-acid containing P-O-P bonding
is :
A. Hypo phosphoric acid.
B. Pyro Phosphoric acid.
c. ortho phosphoric acid.
D. Peroxyphosphoric acid | 1 | Chemistry |
According to theory of significant
figures \( (2.0)^{10} \) is :
A \( \cdot 1024 \)
В. \( 1.024 \times 10^{10} \)
c. \( 1.0 \times 10^{3} \)
D. 1000 | 3 | Physics |
Assertion
The proton gradient is broken down due
to the movement of protons across the
membrane channel of the \( F_{0} \) of the
ATPase
Reason
It is the breakdown of proton gradient
that leads to release of energy.
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 and Reason are correct | 0 | Biology |
A body suspended from a spring balance is placed in a satellite. Reading
in balance is \( W_{1} \) when the satellite
moves in an orbit of radius \( R \). Reading
in balance is \( W_{2} \) when the satellite
moves in an or bit of radius \( 2 R \). Then.
A. \( W_{1}=W_{2} \)
в. \( W_{1}>W_{2} \)
\( \mathbf{c} \cdot W_{1}<W_{2} \)
D. \( W_{1}=2 W_{2} \) | 3 | Physics |
The correct expression for Ampere's law
is :
A \( . \int B . d l=\Sigma i \)
в. \( \int B . d l=\frac{1}{\sum i} \)
c. \( \int B . d l=\mu_{0} \sum i \)
' - \( \int B . d l=\frac{\sum i}{\mu_{0}} \) | 3 | Physics |
If \( a, b \) and \( c \) are unit vectors then
\( |a-b|^{2}+|b-c|^{2}+|c-a|^{2} \) does not
exceed
\( \mathbf{A} \cdot \mathbf{4} \)
B. 9
\( c \cdot 8 \)
D. 6 | 2 | Maths |
Equivalent weight of the underlined
\( 2 \underline{H}_{3} \boldsymbol{P} \boldsymbol{O}_{2} \longrightarrow \boldsymbol{H}_{3} \boldsymbol{P} \boldsymbol{O}_{4}+\boldsymbol{P} \boldsymbol{H}_{3} \)
A . 33
B. 24
\( c \cdot 42 \)
D. 31 | 1 | Chemistry |
\( 0.1 N \) solution of sodium carbonate is
titrated with \( 0.1 N \) solution of sulphuric
acid. The best indicator to be used for
this titration is:
A. phenolphthalein
B. methyl orange
c. litmus
D. starch solution | 1 | Chemistry |
Two metal strips that constitute a bimetallic strip must necessarily differ in their:
A. length
B. mass
c. coefficient of linear expansion
D. resistivity | 3 | Physics |
The building block of structural organic chemistry is the
A. di valency of carbon atom
B. tetra valency of carbon atom
c. tri valency of carbon atom
D. none of these | 1 | Chemistry |
The oxidation states of \( S \) atom in
\( S_{4} O_{6}^{2-} \) from left to right respectively are
\( \mathbf{A} \cdot+6,0,0,+6 \)
В. +3,+1,+1,+3
c. +5,0,0,+5
\( \mathbf{D} \cdot+4,+1,+1,+4 \) | 1 | Chemistry |
Which of the following statements
regarding sulphur dioxide is not true?
\( A \cdot S O_{2} \) is an angular molecule
B. \( S O_{2} \) may be regarded as the resonance hybrid of two canonical structures
\( \mathrm{C} \cdot S \mathrm{O}_{2} \) is an anhydride of sulphuric acid
D. \( S O_{2} \) is an anhydride of sulphurous acid | 1 | Chemistry |
Which of the following oxides of nitric is anhydride of nitrous acid?
A . \( N O \)
в. \( N_{2} O_{3} \)
\( \mathrm{c} \cdot \mathrm{N}_{2} \mathrm{O}_{4} \)
D. \( N O_{2} \) | 1 | Chemistry |
Integrate :-
\( \int \log \log x+\frac{1}{(\log x)^{2}} d x \) | 2 | Maths |
What is the code number on plastic
bottle HDPE? | 1 | Chemistry |
ABCD is a trapezium in which \( \boldsymbol{A B} \| \) \( C D, \) if \( A B=7 \mathrm{cm}, D C=3 \mathrm{cm} \) and if the
area of the trapezium is \( 18 \mathrm{cm}^{2} \), then
the area of \( \triangle B C D \) is
A \( \cdot 5 \frac{2}{5} c m^{2} \)
в. \( 6 \frac{2}{5} \mathrm{cm}^{2} \)
c. \( 7 \frac{2}{5} c m^{2} \)
D. \( 8 \frac{2}{5} c m^{2} \) | 2 | Maths |
Draw lewis structures for the following molecules \( H C O O H . C O_{2}^{2-} \) | 1 | Chemistry |
For a particular reaction \( \triangle \boldsymbol{H}^{0}= \)
\( -76.6 K J \) and \( \Delta S^{0}=226 J K^{-1} . \) This
reaction is:
A. spontaneous at all temperatures
B. non-spontaneous at all temperatures
C. spontaneous at temperature below \( 66^{\circ} \mathrm{C} \)
D. spontaneous at temperature above \( 66^{\circ} \mathrm{C} \) | 1 | Chemistry |
\( A \) film projector magnifies a \( 100 \mathrm{cm}^{2} \) film strip on a screen. If the linear
magnification is \( 4, \) the area of the magnified film on the screen is be
\( 1000 \mathrm{cm}^{2} \)
A . True
B. False | 3 | Physics |
The vapour pressure of pure water at
\( 25^{\circ} \mathrm{C} \) is 23.76 torr. The vapour pressure of a solution containing 5.40 g of a nonvolatile substance in 90.0 g water is 23.32 torr. The molecular weight of the solute is:
A. \( 97.24 \mathrm{g} / \mathrm{mol} \)
B. 24.29 g/mol
c. \( 50.44 \mathrm{g} / \mathrm{mol} \)
D. \( 57.24 \mathrm{g} / \mathrm{mol} \) | 1 | Chemistry |
Assertion
If \( \boldsymbol{H}_{2} \) and \( \boldsymbol{C l}_{2} \) enclosed separately in the
same vessel exert pressures of 100 and \( 200 \mathrm{mm} \) respectively, their mixture in
the same vessel at the same
temperature will exerts a pressure of \( 300 \mathrm{mm} \)
Reason
Dalton's law of partial pressures states that total pressure is the sum of partial
pressures.
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 | 1 | Chemistry |
Assume the temperature of liquid and
surrounding is same, the rate of
melting of ice is maximum at point.
\( A \)
B. 3
\( c \)
D. Both 4 and 5 | 3 | Physics |
Fill in the blank
A point source emits sound equally in all direction in a non-absorbing
medium. Two point \( P \) and \( Q \) are at a
distance of \( 9 m \) and \( 25 m \) respectively
from the source. The ratio of the
amplitudes of the waves at \( P \) and \( Q \) is.. | 3 | Physics |
At what height \( ^{\prime} h^{\prime} \) from the earth
surface, acceleration due to gravity
becomes half as that of acceleration
due to gravity on the surface of earth. \( [R=\text { Radius of earth }] \)
\( \mathbf{A} \cdot h=R \)
в. \( h=\frac{R}{2} \)
c. \( h=\frac{R}{3} \)
D. \( h=\frac{R}{4} \) | 3 | Physics |
In the fusion reaction \( _{1} H^{2}+_{1} H^{2} \longrightarrow_{2} \)
\( H e^{4}+_{0} n^{1}, \) the masses of deuteron
helium and neutron expresses in amu are 2.05,3.017 and \( 1.009, \) respectively. If
1 \( K g \) of deuterium undergoes complete
fusion, then find the amount of total
energy released
\( \mathbf{1} \boldsymbol{a} \boldsymbol{m} \boldsymbol{u}=\mathbf{9} \mathbf{3} \mathbf{1} . \mathbf{5} \boldsymbol{M} \boldsymbol{e} \boldsymbol{V} / \boldsymbol{c}^{2} \) | 3 | Physics |
Identify the correctly matched structure and its secretion
A. Brunner's gland - Salivary amylase
B. Intestinal mucosa - Insulin
c. Gall bladder - Bile
D. Salivary gland - Lysozyme | 0 | Biology |
If the radian measures of two angles of a triangle are \( \frac{3 \pi}{5}, \frac{4 \pi}{15} . \) Find the radian measure and the degree measure of the third angle. | 2 | Maths |
Carbon dioxide and methane are the
two major components of greenhouse.
A. True
B. False | 1 | Chemistry |
Explore and answer:
Petrol tankers plying on highways often have metal chains attached to that drag
along the road. Could you say why? | 3 | Physics |
The displacement of a body varies with
the time as \( S=t^{3}+3 t^{2}+2 t-1 . \) If the
velocity at \( t=4 \sec \) is \( 2+12 K m / s \)
then find \( k \)
\( A \cdot 6 \)
B. 3
\( c \cdot 2 \)
D. | 2 | Maths |
Oxygen is considered as the waste
product of
A. Regulation.
B. Respiration.
c. Reproduction.
D. Photosynthesis | 0 | Biology |
A real gas most closely approaches the behaviour of an ideal gas at:
A . 15 atm and \( 200 K \)
B. 1 atm and \( 273 \mathrm{K} \)
c. 0.5 atm and \( 500 K \)
D. 15 atm and \( 500 K \) | 1 | Chemistry |
Mixture of conc. \( \mathbf{H} \mathbf{N} \mathbf{O}_{3} \) and conc.
\( \mathbf{H}_{2} \mathbf{S} \mathbf{O}_{4} \) is known as :
A. Sulphonating mixture
B. Nitrating mixture
c. Explosion mixture
D. Fusion mixture | 1 | Chemistry |
The oil used in the froth flotation
method for the purification of ore is:
A. coconut oil
B. olive oil
c. pine oil
D. castor oil | 1 | Chemistry |
Differentiate: \( e^{\sin ^{-1} x} \) | 2 | Maths |
The evolution of this structure lead to
the human lineage.
A. Bone
B. Cranium
c. Jaws
D. Notochord
E. Vertebrae | 0 | Biology |
Find the principal value of:
\( \sin ^{-1}\left(\frac{\sqrt{\mathbf{3}}+1}{2 \sqrt{2}}\right) \) | 2 | Maths |
The colour of an opaque object is due to the colour it :
A . Reflects
B. Refracts
c. Absorbs
D. Scatters | 3 | Physics |
Which of the following is NOT true
regarding nucleic acid?
This question has multiple correct options
A. Nucleic acids are always genetic material for an organism when found inside a cell
B. Nucleic acids are long chain macromolecules formed by end to end polymerisation of nucleotide monomers
C. Nucleic acids of only one type are available in any organism
D. Nucleic acids show secondary structures | 0 | Biology |
Enzymes provide active sites for holding the substrate molecules through a variety of interactions like:
This question has multiple correct options
A. covalent bonding
B. dipole-dipole interaction
c. ionic bonding
D. hydrogen bonding | 1 | Chemistry |
Which one of the following is not a thermodynamical co-ordinate?
A. \( V \)
в. \( R \)
\( c . T \)
D. \( P \) | 1 | Chemistry |
Molecular mass is expressed in :
A. \( k g \)
B. \( g \)
\( c \)
D. \( m g \) | 1 | Chemistry |
Heat is a
A. form of energy.
B. property of the material.
C. universal constant.
D. theoretical assumption. | 3 | Physics |
A steamer plies between two stations \( \boldsymbol{A} \)
and \( B \) on opposite banks of a river, always following the path \( A B \). The
distance between stations \( A \) and \( B \) is
1200 \( m \). The velocity of the current is \( \sqrt{17} m s^{-1} \) and is constant over the
maim width of the river. The line \( A B \)
makes an angle \( 60^{\circ} \) with the direction
of the flow. The steamer takes 5 min to
cover the distance \( A B \) and back.
a. Find the velocity of steamer with
respect to water.
b In what direction should the steamer
move with respect to line \( \boldsymbol{A B} \) ? | 3 | Physics |
An aircraft, initially stationary on a
runway, takes off with a speed of \( 85 \mathrm{km} \)
\( h^{-1} \) in a distance of no more than 1.20
\( \mathbf{k m} \)
What is the minimum constant
acceleration necessary for the aircraft?
A \( \cdot 0.23 m s^{-2} \)
B. \( 0.46 \mathrm{ms}^{-2} \)
c. \( 3.0 m s^{-2} \)
D. \( 6.0 m s^{-2} \) | 3 | Physics |
Which region is described by the shade in the graph given?
This question has multiple correct options
A \( .2 x+3 y=3 \)
B. \( 2 x+3 y>3 \)
c. \( 2 x+3 y<3 \)
D. None of these | 2 | Maths |
Which of the following molecule will be most polar?
A .1,3,5 trichloro benzene
B. Trans 1,2- dichloro ethene
c. Cls- -1-fluoro propene
D. Trans 1 fluoro propene | 1 | Chemistry |
Subtract: \( a(b-5) \) from \( b(5-a) \) | 2 | Maths |
The sum of the first 7 terms of an A.P is
63 and the sum of its next 7 terms is
161. Find the 28 th term of this A.P. | 2 | Maths |
A body has a charge of \( -2 \mu C \). If it has
\( 2.5 \times 10^{13} \) protons, then how many
electrons the body has?
A \( \cdot 1.25 \times 10^{13} \)
B. \( 2.5 \times 10^{13} \)
c. \( 3.75 \times 10^{13} \)
D. None of these | 3 | Physics |
Collision diameter is least in case of:
A \( . H_{2} \)
в. \( H e \)
\( c \cdot C O_{2} \)
D. \( N_{2} \) | 1 | Chemistry |
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