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An object is allowed to roll down an inclined plane starting from rest (consider the object to be uniform and having same mass) then object having largest rotational momentum is (if rotated with same angular momentum)
A. solid sphere
B. spherical shell
c. solid disc
D. thin hollow cylinder
| 3 |
Physics
|
If the magnetic dipole moment of an atom of diamagnetic material,
paramagnetic material and ferromagnetic material are denoted by
\( \mu_{d}, \mu_{p} \) and \( \mu_{f} \) respectively, then
\( \mathbf{A} \cdot \mu_{p}=0 \) and \( \mu_{f} \neq 0 \)
B . \( \mu_{d} \neq 0 \) and \( \mu_{p}=0 \)
C \( \cdot \mu_{d} \neq 0 \) and \( \mu_{f} \neq 0 \)
D. \( \mu_{d}=0 \) and \( \mu_{p} \neq 0 \)
| 3 |
Physics
|
Find the accurate expressions.
\( \mathbf{A} \cdot E=m c^{2} \)
B . \( E=m / c^{2} \)
\( \mathbf{C} \cdot M=E c^{2} \)
D. All of the expressions are accurate.
E \( \cdot c=E m^{2} \)
| 3 |
Physics
|
ABCD is a parallelogram and \( A C, B D \) are its diagonals Express \( \overrightarrow{\boldsymbol{A C}} \) and \( \overrightarrow{\boldsymbol{B D}} \) in terms of \( \overrightarrow{\boldsymbol{A B}} \) and \( \overrightarrow{\boldsymbol{A D}} \) only
A \( \cdot \overrightarrow{A C}=\overrightarrow{A B}+\overrightarrow{A D} \quad ; \overrightarrow{B D}=-\overrightarrow{A B}+\overrightarrow{A D} \)
в. \( \overrightarrow{A C}=\overrightarrow{A B}-\overrightarrow{C B} \quad ; \overrightarrow{B D}=-\overrightarrow{A B}+\overrightarrow{A D} \)
c. \( \overrightarrow{A C}=\overrightarrow{A B}+\overrightarrow{A D} \quad ; \overrightarrow{B D}=\overrightarrow{B C}+\overrightarrow{C D} \)
D. all of the above
| 2 |
Maths
|
The value of \( (127)^{1 / 3} \) to four decimal places is
A .5 .0267
B. 5.4267
c. 5.5267
D. 5.001
| 2 |
Maths
|
In the figure shown, a cubical block is
held stationary against a rough wall by applying force \( F \) then, incorrect
statement among the following is:
A. frictional force, \( f=M g \)
B. \( F=N, N \) is normal reaction
C. F does not apply any torque
D. N does not apply any torque
| 3 |
Physics
|
A transformer has 500 turns of the
primary winding and 10 turns of the secondary winding. Determine the secondary voltage if the secondary circuit is open and the primary voltage is \( 120 \mathrm{V} \)
| 3 |
Physics
|
approaching the first? (answer in Hz)
| 3 |
Physics
|
A point \( P \) on the ellipse \( \frac{x^{2}}{25}+\frac{y^{2}}{9}=1 \) has the eccentric angle \( \frac{\pi}{8} . \) The sum of the distance of \( P \) from the two foci is
A . 5
B. 6
c. 10
D. 3
| 2 |
Maths
|
The equilibrium constant for a reaction
is \( 20 . \) What will be the value of \( \Delta G ? \)
\( \boldsymbol{R}=\mathbf{8 . 3 1 4} \boldsymbol{J} \boldsymbol{K}^{-1-1}, \boldsymbol{T}=\boldsymbol{3 0 0} \boldsymbol{K} \)
| 1 |
Chemistry
|
Find the next two terms of the following
sequence \( : 2,4,6,8, \dots \)
| 2 |
Maths
|
The basicity of phosphoric acid is:
\( A \cdot 1 \)
B . 2
\( c .3 \)
D.
| 1 |
Chemistry
|
In a school, \( 8 a^{2}+4 a+9 \) students
were enrolled. \( 2 a^{2}-9 a+2 \) students
were boys. How many girls were
enrolled?
A \( \cdot 6 a^{2}-13 a+7 \)
7
B . \( 4 a^{2}+13 a+7 \)
\( \mathbf{c} \cdot 6 a^{2}+13 a+7 \)
D. \( 4 a^{2}-13 a+7 \)
| 2 |
Maths
|
Euclidian geometry cannot be applied to which of the following?
A. Triangle
B. Rectangle
c. sphere
D. Square
| 2 |
Maths
|
To obtain n-type extrinsic semiconductor, the impurity element to be added to germanium should be of valency
A .2
B. 5
\( c \cdot 4 \)
\( D \)
| 3 |
Physics
|
When a steel core is placed in a
solenoid, it acts like an electromagnet.
A. True
B. False
| 3 |
Physics
|
A batsman hits a cricket ball which
then rolls on a level ground. After
covering a short distance, the ball
comes to rest. The ball slows to a stop
because:
A. the batsman did not hit the ball hard enough
B. velocity is proportional to the force exerted on the ball
C. there is a force on the ball opposing the motion
D. there is no unbalanced force on the ball, so the ball
would want to come to rest
| 3 |
Physics
|
State whether the following statements are true or false.
ATP is a protein that supplies energy to
the cell.
A. True
B. False
| 0 |
Biology
|
An ideal gas is subjected to a cyclic process involving four thermodynamic states; the amounts of heat (Q) and work (W) involved in each of these
states are \( Q_{1}=6000 J, Q_{2}= \)
\( \mathbf{5 5 0 0} \boldsymbol{J}, \boldsymbol{Q}_{3}=-\mathbf{3 0 0 0} \boldsymbol{J}, \boldsymbol{Q}_{4}= \)
\( \mathbf{3 5 0 0} \boldsymbol{J} \boldsymbol{W}_{\mathbf{1}}=\mathbf{2 5 0 0} \boldsymbol{J}, \boldsymbol{W}_{\mathbf{2}}= \)
\( -\mathbf{1 0 0 0} \boldsymbol{J}, \boldsymbol{W}_{3}=-\mathbf{1 2 0 0} \boldsymbol{J}, \boldsymbol{W}_{4}=\boldsymbol{x} \boldsymbol{J} . \) The
ratio of the net work done by the gas to
the total heat absorbed by the gas in ' \( \eta \) '.
The values of \( x \) and \( \eta \) respectively are:
\( \mathbf{A} \cdot 500,7.5 \% \)
в. \( 1000,10.5 \% \)
c. \( 1000,21 \% \)
D. \( 1500,15 \% \)
| 1 |
Chemistry
|
The IUPAC name of the red coloured
\( \operatorname{complex}\left[\boldsymbol{F e}\left(\boldsymbol{C}_{4} \boldsymbol{H}_{7} \boldsymbol{O}_{2} \boldsymbol{N}_{2}\right)_{2}\right] \) obtained
from the reaction of \( F e^{2+} \) and dimethyl
glyoxine
A. bis(dimethyl flyoxime) ferrate(II)
B. bis (dimethyl glyoximato) iron(II)
c. bis (2, 3-butanediol dioximato) iron(II)
D. bis (2, 3-butanedione dioximato) iron(II)
| 1 |
Chemistry
|
Identify the reason why an observer cannot detect the wave nature of a fast moving truck.
A. The momentum of the truck is too large
B. The velocity of the wave is too large
c. There are no waves to be detected
D. The frequency is too low
E. The wavelengths are too small
| 3 |
Physics
|
Two equal drops of water are falling
through air with. steady velocity v. If the
drops coalesced, what will be the new velocity?
| 3 |
Physics
|
When water was electrolyzed, hydrogen and oxygen were obtained which were collected and found to be \( 16.8 \mathrm{L} \) at \( S T P \)
Then, weight of water electrolyzed is:
\( \mathbf{A} \cdot 18 \mathrm{gm} \)
B. 36 gm
\( \mathrm{c} \cdot 9 \mathrm{gm} \)
D. \( 45 \mathrm{gm} \)
| 1 |
Chemistry
|
Which polynomial should be added to
\( 2 x^{4}-3 x^{2}+5 x+8 \) to get \( 2 x^{2}-5 x+4 \)
\( ? \)
A \( \cdot x^{3}+5 x^{2}-x \)
B . \( 2 x^{5}+x^{2}-10 x-9 \)
c. \( -2 x^{4}+5 x^{2}-1 \)
D. \( -2 x^{4}+5 x^{2}-10 x-4 \)
| 2 |
Maths
|
are elements which can
accept one or more electrons and form negative ions.
A. Metals
B. Non-metals
c. Metalloids
D. None of these
| 1 |
Chemistry
|
Assertion
The handle and bristles of a tooth brush
should be made of different material
Reason
The handle of a toothbrush should be
hard and strong while the bristles
should be soft and flexible.
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
|
State what is meant by refraction of light. State Snell's law for refraction of
light and also express it mathematically. The refractive index of air with respect to glass is \( 2 / 3 \) and the refractive index
of water with respect to air is \( 4 / 3 . \) If the
speed of light in glass is \( 2 \times 10^{8} \mathrm{m} / \mathrm{s} \)
find the speed of light in (a) air, (b)
water
| 3 |
Physics
|
What do you understand by ozone layer? Write an essay to participate in the elocution competition on the
importance of ozone layer.
| 1 |
Chemistry
|
is a process of transfer of
heat by the actual movement of the medium particles.
A. Conduction
B. Convection
c. Radiation
D. All
| 3 |
Physics
|
Which among the following equations represents the reduction reaction taking place in lead accumulator at positive electrode, while it is being used as a source of electrical energy?
\( \mathbf{A} \cdot P b \rightarrow P b^{2} \)
B. \( P b^{4+} \rightarrow P b \)
\( \mathbf{c} \cdot P b^{2+} \rightarrow P b \)
D. \( P b^{4+} \rightarrow P b^{2} \)
| 1 |
Chemistry
|
Find the derivative of the following functions from the first principals w.r.t
to \( \boldsymbol{x} \)
\( \tan 2 x \)
| 2 |
Maths
|
If \( \vec{e}=l \hat{i}+m \hat{j}+n \hat{k} \) is a unit vector,
then the maximum value of \( l m+ \)
\( m n+n l \) is
A. \( -\frac{1}{2} \)
B.
c. 1
D. \( \frac{3}{2} \)
| 2 |
Maths
|
heated on the flame directly. It crumbled to give white powder of calcium oxide. After cooling, when water is added to it a hissing sound is heard and water started boiling. If it is allowed to stay over night, a clear solution (top layer) is taken and for this experiment
below as lime water.
When carbon dioxide is bubbled into
testtube a clear solution of lime water,
turbidity appears first and later a white precipitate of calcium carbonate is formed. Carbon dioxide is continued to
passed into the same solution and the solution again became clear because of formation of calcium bicarbonate. On
heating the contents of the tube, white precipitate of calcium carbonate
reappears.
Passing of carbon dioxide to lime water gave the following initially
A. Calcium bicarbonate and carbon dioxide
B. Calcium carbonate and water
c. calcium carbonate and carbon dioxide
D. Calcium oxide and water
| 1 |
Chemistry
|
\( A B C D E \) is a pentagon. the resultant of the forces \( \overrightarrow{A B}+\overrightarrow{B C}+\overrightarrow{D C}+\overrightarrow{E D}+ \)
\( \overrightarrow{A E}=k \overrightarrow{A C}, \) then find the value of \( k \)
| 2 |
Maths
|
According to Charles' law.
This question has multiple correct options
A \( \cdot V \propto \frac{1}{T} \)
\( ^{\mathbf{B}} \cdot\left(\frac{d V}{d T}\right)_{P}=K \)
\( ^{\mathbf{C}} \cdot\left(\frac{d T}{d V}\right)_{P}=K \)
\( ^{\mathrm{D}}\left(\frac{1}{T}-\frac{V}{T^{2}}\right)_{P}=0 \)
| 1 |
Chemistry
|
Find the distance between (12,3,4) and (4,5,2)
A \( \cdot \sqrt{72} \)
B. \( \sqrt{62} \)
\( c \cdot \sqrt{64} \)
D. None of these
| 2 |
Maths
|
Sometimes the behaviour of a chemical
compound can be better to understand
by regarding it as if it exists in a world between two or three different possible structures. This phenomenon is called:
A. a double standard
B. allotropism
c. isomerism
D. resonance
| 1 |
Chemistry
|
The formula of calamine ore is :
A \( . Z n S \)
в. \( F e C O_{3} \)
\( \mathrm{c} \cdot Z n C O_{3} \)
D. \( C u_{2} S \)
| 1 |
Chemistry
|
A parallel plate capacitor has two square plates with equal and opposite charges. The surface charge densities
on the plate are \( +\sigma \) and \( -\sigma \)
respectively. In the region between the plates the magnitude of electric field is:
A \( \cdot \frac{\sigma}{2 \varepsilon_{0}} \)
в. \( \frac{\sigma}{\varepsilon_{0}} \)
\( c \cdot 0 \)
D. none of these
| 3 |
Physics
|
Which of the following orders is true regarding the acetic nature of monosubstituted acetic acid?
A. Fluoroacetic acid > Chloroacetic acid > Bromoacetic acid
B. Chloroacetic acid <Bromoacetic acid < Fluoroacetic acid
c. Bromoacetic acid < Fluoroacetic acid > Chloroacetic acid
D. Fluoroacetic acid < Bromoacetic acid <Chloroacetic acid
| 1 |
Chemistry
|
Coke is used in the preparation of :
This question has multiple correct options
\( \mathbf{A} \cdot C O+H_{2} \)
B \( \cdot C O+N_{2} \)
C . Graphite artificially
D. Diamond artificially
| 1 |
Chemistry
|
The upper limit temperature of a super conductor is
\( \mathbf{A} \cdot 115 \mathrm{K} \)
B. 120 K
c. \( 125 \mathrm{k} \)
D. \( 130 \mathrm{K} \)
| 3 |
Physics
|
A flowerpot falls from a windowsill \( 25.0 m \) above the sidewalk. How much
time does a passerby on the sidewalk below have to move out of the way before the flowerpot hits the ground? (in seconds)
A .2
B . 2.3
\( c \cdot 6 \)
\( D \)
| 3 |
Physics
|
Which of the following is not true about
photosynthesis?
A. In non-cyclic photophosphorylation, water is split and oxygen is released
B. Photosystem-II makes noncyclic photophosphorylation more efficient than does cyclic photophosphorylation
C. Cyclic system is used when there is insufficient \( N A D P^{+} \) present to absorb electrons in plant cells
D. More carbohydrate is produced during cyclic photophosphorylation than during non-cyclic photophosphorylation
| 0 |
Biology
|
An aluminium wire carrying a current has diameter \( 0.84 \mathrm{mm} \). The electric
field in the wire is \( 0.49 V / m . \) What is,
(a) the current carried by the wire?
(b) the potential difference between two points in the wire 12.0 m apart?
(c) the resistance of a \( 12.0 \mathrm{m} \) length of this wire?
Specific resistance of aluminum is \( 2.75 \times 10^{8} \Omega-m \)
| 3 |
Physics
|
Match the column (I) and (II) and select
the correct answer using the codes given below.
ColumnColumn-II
(a)
(1) Halide ore of magnesium Argentite
(b) Cuprite
(2) Carbonate ore of iron
(c) Siderite
(3) Oxide ore of copper
(d) Carnallite
(4) Sulphide ore of silver
A. a-4, b-3, c-2
B. a-1, b-2, c-3, d-4
c. \( a-2, b-3, c-3, d-1 \)
D. a-3, b-4, c-1 \( d-2 \)
| 1 |
Chemistry
|
Find :
\( 2 \times 2 \)
| 2 |
Maths
|
The most acidic compound among the following is:
A. phenol
B. ethanol
c. 3,5-dinitrophenol
D. 4-methoxy phenol
| 1 |
Chemistry
|
What transition in \( H e^{+} \) ion shall have
the same wave number as the first line
in Balmar series of H atom?
\( \mathbf{A} \cdot 7 \rightarrow 5 \)
B . \( 5 \rightarrow 3 \)
\( c \cdot 6 \rightarrow 4 \)
\( \mathbf{D} \cdot 4 \rightarrow 2 \)
| 1 |
Chemistry
|
Milk of sulphur finds its applications in
A. medicines
B. photography
c. head of match stick
D. vulcanization
| 1 |
Chemistry
|
The \( \% \) of hydrogen in water and hydrogen peroxide is \( 11.2 \% \) and \( 5.94 \% \) respectively. This illustrates the law of:
A. constant proportions
B. conservation of mass
c. multiple proportions
D. law of gaseous volume
| 1 |
Chemistry
|
A divergent lens has a focal length of 30 \( \mathrm{cm} . \) At what distance should an object
of height \( 5 \mathrm{cm} \) from the optical centre of the lens be placed so that its image is
formed \( 15 \mathrm{cm} \) away from the lens? Find the size of the image also.
| 3 |
Physics
|
Let \( a, \beta, \gamma \) be distinct real numbers. The
points with position vectors ai \( +\beta j+ \) \( \gamma k, \beta i+\gamma j+a k, \gamma i+a j+\beta k \)
A. are collinear
B. form an equilateral triangle
c. form an scalene triangle
D. form a right angled triangle
| 2 |
Maths
|
Answer the following:What is lanthanoid contraction?
Mention one of its consequences.
| 1 |
Chemistry
|
\( 5.5 m g \) of nitrogen gas dissolves in \( 180 g \) of water at \( 273 K \) and one atm
pressure due to nitrogen gas. The mole fraction of nitrogen in \( 180 g \) of water at
5 atm nitrogen pressure is approximately:
A \( \cdot 1 \times 10^{-5} \)
B. \( 1 \times 10^{-4} \)
c. \( 1 \times 10^{-6} \)
D. \( 1 \times 10^{-3} \)
| 1 |
Chemistry
|
Write a note on vulcanization of rubber.
| 1 |
Chemistry
|
One mole of oxygen is expanded from a volume \( 1 \ell \) to \( 2 \ell \) at a constant
temperature \( \boldsymbol{T}=\mathbf{2 8 0} \boldsymbol{K} . \) Find the
change in internal energy of the gas.
\( \mathbf{A} \cdot 9.8 k J \)
B . \( 2.8 k J \)
\( c .0 k J \)
D. 12.8 k
| 3 |
Physics
|
Solve:
\( (i+3 i)^{2}(3+1) \)
| 2 |
Maths
|
The volume of a liquid (v) flowing per second through a cylindrical tube depends upon the pressure gradient
(p/I) radius of the tube (r) coefficient of viscosity ( \( \eta \) ) of the liquid by dimensional method the correct
formula is
A \( \cdot v \alpha \frac{P r^{4}}{\eta l} \)
в. \( v \alpha \frac{P r}{\eta l^{4}} \)
\( ^{\mathrm{c}} \cdot_{V \alpha} \frac{P l^{4}}{\eta r} \)
D. None
| 3 |
Physics
|
Cathode rays gain K.E. when accelerated by an electric field. If they are subjected to a uniform magnetic field, then their
A. Energy increases
B. Momentum increases
C. Energy and momentum decrease
D. Energy and magnitude of momentum remain
unaffected
| 3 |
Physics
|
Three equal resistors connected in series across a source of e.m.f dissipate
10 watts of power. What will be the power dissipated in watts if the same resistors are connected in parallel
across the same source of e.m.f?
A. \( 10 \mathrm{w} \)
B. 30 W
c. \( 90 \mathrm{w} \)
D. \( \frac{10}{3} W \)
| 3 |
Physics
|
Which is a set of acid salts and can
react with base?
A. \( N a H_{2} P O_{2}, N a_{2} H P O_{3}, N a H_{2} P O_{4} \)
B. \( N a_{2} H P O_{3}, N a H_{2} P O_{3}, N a H P O_{4} \)
c. \( \operatorname{NaHCO}_{3}, \operatorname{NaH}_{2} \mathrm{PO}_{3}, \mathrm{Na}_{2} \mathrm{HPO}_{4} \)
D. All of the above
| 1 |
Chemistry
|
How many 6-letter words with distinct
letters in each can be formed using the
letters of the word EDUCATION? How
many of these begin with I
A. \( ^{9} P_{6^{\prime}}^{8} P_{5} \)
в. \( ^{9} P_{6^{\prime}}^{9} P_{5} \)
\( \mathrm{c} \cdot^{8} P_{6^{\prime}}^{8} P_{5} \)
D. \( ^{8} P_{6^{\prime}}^{8} P_{4} \)
| 2 |
Maths
|
Is \( s p^{3} d^{2} \) hybridization the same as
\( d^{2} s p^{3} \) hybridization?
| 1 |
Chemistry
|
The solution of the differential equation \( x \frac{d y}{d x}=\frac{y}{1+\log x} \) is :
A. \( y=\log x+C \)
в. \( y=\frac{C}{1+\log x} \)
c. \( y=C(x+\log x) \)
D. \( y=x+\log (C x) \)
E . \( y=C(1+\log x) \)
| 2 |
Maths
|
To measure the specific heat of copper, an experiment is performed in the lab. \( A \) piece of copper is heated in an oven then dropped into a beaker of water. To
calculate the specific heat of copper, the experimenter must know or
measure the value of all of the
quantities below EXCEPT the
A. Original temperatures of the copper and the water
B. Mass of the water
C. Final (equilibrium) temperature of the copper and the water
D. Time taken to achieve equilibrium after the copper is dropped into the water
E. Specific heat of the water
| 3 |
Physics
|
If a rectangle has more than two lines of symmetry,then it must be a square.
A. True
B. False
| 2 |
Maths
|
\( \mathbf{A} \)
\( 2.0 V \) potentiometer used for the
determination of internal resistance of
a \( 1.5 V \) cell. The balance point of the cell
in open circuit is \( 76 \mathrm{cm} \). When a resistor
of \( 9.5 \Omega \) is used in the external circuit of
the cell, the balance point shifts to \( 57 \mathrm{cm} \) length of the potentiometer wire. Determine the internal resistance of the
cell
A \( .1 .7 \Omega \)
В. \( 2.5 \Omega \)
c. \( 1.5 \Omega \)
D. \( 0.5 \Omega \)
| 3 |
Physics
|
\( \mathbf{f} \boldsymbol{A}=\left[\begin{array}{ccc}\mathbf{0} & \boldsymbol{a}+\mathbf{1} & \boldsymbol{b}-\mathbf{2} \\ \mathbf{2} \boldsymbol{a}-\mathbf{1} & \mathbf{0} & \boldsymbol{c}-\mathbf{2} \\ \mathbf{2} \boldsymbol{b}+\mathbf{1} & \mathbf{2}+\boldsymbol{c} & \mathbf{0}\end{array}\right] \) is skew
symmetric then \( a+b+c= \)
\( A \cdot 3 \)
B. -3
\( c \cdot \frac{1}{3} \)
\( D \)
| 2 |
Maths
|
The above reaction is a type of intramolecular disproportionation reaction.
If true enter 1 , else enter 0 .
\[
\underbrace{\mathrm{CHO}}_{\mathrm{CHO}} \stackrel{\mathrm{OH}^{-}}{\longrightarrow} \underbrace{\mathrm{COO}^{-}}_{\mathrm{CH}_{2} \mathrm{OH}}
\]
\( A \)
| 1 |
Chemistry
|
Which of the following is not the harmful product which is produced in the biochemical reactions of the cell of
living organisms?
A. Urea
B. Uric acid
c. Ammonia
D. Lymph
| 0 |
Biology
|
If a.b.c are noncoplanar find the point of intersection of the line passing through the points \( 2 a+3 b-c, 3 a+4 b-2 c \)
with the line joining the points \( a \)
\( 2 b+3 c, d-6 b+b c \)
| 2 |
Maths
|
The \( E_{M^{3+} / M^{2+}}^{0} \) values of \( \mathrm{Cr}, \mathrm{Mn}, \mathrm{Fe} \) and
Co are \( -\mathbf{0 . 4 1},+\mathbf{1 . 5 7},+\mathbf{0 . 7 7} \) and
\( +1.97 \mathrm{V} \) respectively. For which one of these metals the change in oxidation
state from +2 to +3 is easiest?
A \( . C r \)
в. \( M n \)
c. \( F e \)
D. \( C o \)
| 1 |
Chemistry
|
Which of the following statements is
correct about \( \lambda_{a}^{\infty} \) or \( \lambda_{c}^{\infty} \) (i.e., ionic conductivities)?
A. Increases with temperature due to increase in viscosity of medium.
B. Increases with pressure due to decrease in viscosity of medium.
c. Decreases with pressure due to increase in viscosity of medium.
D. Decreases with pressure due to decrease in viscosity of medium
| 1 |
Chemistry
|
toppr
Q Type your question
current which is then converted into a
digital readout on the display. The electric circuit gives a current of
2.0 mA when a weight of 30N is applied,
and a current of \( 0.5 \mathrm{mA} \) when a weight of \( 5 \mathrm{N} \) is applied
Which calibration curve could represent
this circuit?
\( A \)
B.
\( c \)
\( D \)
| 3 |
Physics
|
In an electric circuit, a fuse is connected :
A. in the live wire
B. in the neutral wire
c. in the earth wire
D. Any of these
| 3 |
Physics
|
If \( t_{0}, \) represents \( n^{t h} \) term of an A.P. \( t_{2}+ \)
\( t_{5}-t_{3}=10 \) and \( t_{2}+t_{9}=17, \) find its
first term and its common difference.
| 2 |
Maths
|
Assertion
Inductance coils are made of copper.
Reason
Induced current is more in wire having
less resistance.
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
|
Apart from metals,which of these can show ductility?
A. Synnthetic polymers
B. Alloys
c. chewing gums
D. All of these
| 1 |
Chemistry
|
Solve
\( \frac{33}{u+2}+\frac{12}{v-3}=123 \)
and \( \frac{12}{u+2}+\frac{33}{v-3}=102 \)
| 2 |
Maths
|
(a) A conductor \( A \) with a cavity as
shown in Fig. \( (a) \) is given a charge \( Q \) Show that the entire charge must
appear on the outer surface of the
conductor.
(b) Another conductor \( B \) with charge \( q \)
is inserted into the cavity keeping \( \boldsymbol{B} \)
insulated from \( A . \) Show that the total
charge on the outside surface of \( \boldsymbol{A} \) is
\( \boldsymbol{Q}+\boldsymbol{q} \)
(c) A sensitive instrument is to be
shielded from the strong electrostatic fields in its environment.
Suggest a possible way.
\( (\mathbf{a}) \)
\( \mathbf{b} \)
| 3 |
Physics
|
Clinostat is used in study for
A. Photosynthesis
B. Respiration
c. Geotropism
D. Osmosis
| 0 |
Biology
|
A bar magnet is moved along the axis of a copper ring placed far away from the magnet. Looking from the side of the magnet, an anti-clockwise current is
found to be induced in the ring. Which
of the following may be true? This question has multiple correct options
A. The south pole faces the ring and the magnet moves towards it
B. The north pole faces the ring and the magnet moves towards it.
c. The south pole faces the ring and the magnet moves away from it.
D. The north pole faces the ring and the magnet moves away from it.
| 3 |
Physics
|
The most common oxidation state of
Lanthanoids is:
\( A \cdot+4 \)
\( B \cdot+3 \)
\( c \cdot+6 \)
\( D \cdot+2 \)
| 1 |
Chemistry
|
A mass \( m \) is thrown vertically upward
into air with initial speed \( u . \) A constant
force \( F \) due to air resistance acts on the
mass during it's travel. Taking into
account the work done against air drag, the maximum distance covered by the mass to reach the top is (Given acceleration due to gravity \( =g \) )
A \( \cdot \frac{u^{2}}{2 g} \)
в. \( \frac{u^{2}}{2 g+2 F / m} \)
с. \( \frac{u^{2}}{2 g+F / m} \)
D. \( \frac{u^{2}}{g+F / m} \)
| 3 |
Physics
|
At \( 27 C \) latent heat of fusion of a
compound is 2930 J/mol. Entropy change is :
A. 9.77 J/molk
B. 10.77 J/molk
c. 9.07 J/molk
D. 0.977 J/molk
| 1 |
Chemistry
|
Spore producing body of a cellular slime mold is
A. Pseudoplasmodium
B. Plasmodium
c. sporangium
D. Sporophore
| 0 |
Biology
|
In a hydraulic lift, used at a service station the radius of the large and small
piston are in the ratio of \( 20: 1 . \) What
weight placed on the small piston will be sufficient to lift a car of mass
\( 1500 k g ? \)
A. \( 3.75 k g \)
в. \( 37.5 k g \)
c. \( 7.5 k g \)
D. \( 75 k g \)
| 3 |
Physics
|
An ideal fluid is:
A. similar to a perfect gas.
B. non-viscous and incompressible.
C . one which satisfies the continuity equation.
D. one which obeys Newton's formula for viscous drag.
| 3 |
Physics
|
Which of the following is a Sandmeyer
reaction?
\( \mathbf{A} \cdot 2 C_{6} H_{5} C l \frac{C u_{2} C l_{2} / H C l}{\longrightarrow} C_{6} H_{6}+C l_{2} \)
\( \mathbf{B} \cdot C_{6} H_{5} N_{2} C l \frac{C u_{2} C l_{2} / H C l}{\longrightarrow} C_{6} H_{5} C l+N_{2} \)
\( \mathbf{c} \cdot C_{6} H_{5} O H \frac{Z n d u s t}{\longrightarrow} C_{6} H_{6}+Z n O \)
\( \mathbf{D} \cdot C_{6} H_{5} N O_{2}+6[H] \stackrel{S n / H C l}{\longrightarrow} C_{6} H_{5} N H_{2}+2 H_{2} O \)
| 1 |
Chemistry
|
Which of the following book was written by Theophrastus?
A . 'Enquiry into Plants's
B. 'On the Causes of Plants
c. 'Historia Plantarum'
D. All of the above
| 0 |
Biology
|
If light can travel 31 times around the world in 4 seconds, how many times can it circle the world in 10 seconds.
A. 124 times
в. \( 66 \frac{1}{2} \) times
c. \( \quad 82 \frac{1}{2} \) times
D. 77.5 times
| 2 |
Maths
|
Pick the only wrong statement in the
following:
A. Light travels with a speed greater than that of sound
B. Light cannot travel through vacuum
C. Light travels in a straight line
D. Light is a wave motion
| 3 |
Physics
|
A pure inductor \( L, \) a capacitor \( C \) and \( a \)
resistance \( R \) are connected across a
battery of emf \( \mathrm{E} \) and internal resistance
as shown in Fig. Switch \( S_{w} \) is closed at
\( t=0, \) select the correct alternative(s)
A. current through resistance R is zero all the time
B. current through resistance R is zero at \( t=0 \) and \( t- \)
c. maximum charge stored in the capacitor is \( c E \)
D. maximum energy stored in the inductor is equal to the maximum energy stored in the capacito
| 3 |
Physics
|
Pelvic girdle consists of
A. Ilium
B. Ilium and ischium
C. Ilium, ischium and pubis
D. Ischium and pubis
| 0 |
Biology
|
Lead pencil contains:
A. graphite
B. softened leadd
c. galena
D. anglesite
| 1 |
Chemistry
|
Which of the following is oxone?
A \( . \) К \( O_{2} \)
в. \( N a_{2} O_{2} \)
c. \( L i_{2} O \)
D. None
| 1 |
Chemistry
|
State whether the following statement
is True or False.
The prefix used for \( 10^{3} \) is kilo.
A. True
B. False
| 3 |
Physics
|
The physical constants which are less
for \( D_{2} O \) than \( H_{2} O \) are:
A. freezing point and boiling point
B. density and viscosity
c. solvating ability and dielectric constant
D. temperature of maximum density
| 1 |
Chemistry
|
Identify the wrong statement about
meiosis.
A. Pairing of homologous chromosomes
B. Four haploid cells are formed
c. At the end of meiosis number of chromosomes are reduced to half
D. Two cycle of DNA replication occur
| 0 |
Biology
|
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