text
stringlengths 1
4.32k
| label
int64 0
3
| label_text
stringclasses 4
values |
|---|---|---|
A uniform sphere of mass \( \boldsymbol{m}=\mathbf{5 . 0} \boldsymbol{k g} \)
and radius \( R=6.0 \mathrm{cm} \) rotates with an
angular velocity \( \omega=1250 \mathrm{rad} / \mathrm{s} \) about
a horizontal axle passing through its centre and fixed on the mounting base
by means of bearings. The distance between the bearings equals \( l=15 \mathrm{cm} \)
The base is set in rotation about a
vertical axis with an angular velocity
\( \omega^{\prime}=5.0 \) rad \( / s . \) Find the magnitude of
the gyroscopic forces in \( \mathrm{N} \)
| 3 |
Physics
|
Integument of humans
A. Conserves heat in winter
B. Loses heat during summer
c. Protects body
D. All of the above
| 0 |
Biology
|
The addition of soap changes the
surface tension of water to \( T_{1} \) and that
of salt solution changes to \( T_{2} \). Then:
A \( \cdot T_{1}=T_{2} \)
в. \( T_{1}>T_{2} \)
c. \( T_{1}<T_{2} \)
D. \( T_{1} \geq T_{2} \)
| 3 |
Physics
|
The standard reduction potential for the
half-cell reaction, \( C l_{2}+2 e^{-} \rightarrow 2 C l^{-} \)
will be:
\( \boldsymbol{P t}^{2+}+\boldsymbol{2} \boldsymbol{C l}^{-} \rightarrow \boldsymbol{P t}+\boldsymbol{C l}_{2}, \boldsymbol{E}_{c e l l}^{o}= \)
\( -0.15 V \)
\( \boldsymbol{P t}^{2+}+\boldsymbol{2} \boldsymbol{e}^{-} \rightarrow \boldsymbol{P t}, \boldsymbol{E}^{o}=\mathbf{1 . 2 0} \mathbf{v} \)
A . \( -1.35 v \)
B. \( +1.35 v \)
c. \( -1.05 v \)
D. \( +1.05 v \)
| 1 |
Chemistry
|
The number of distinct real roots of the
\[
\text { guation, }\left|\begin{array}{ccc}
\cos x & \sin x & \sin x \\
\sin x & \cos x & \sin x \\
\sin x & \sin x & \cos x
\end{array}\right|=0
\]
in the interval \( \left[-\frac{\pi}{4}, \frac{\pi}{4}\right] \) is/are
\( A \)
B . 2
\( c \cdot 1 \)
\( D \)
| 2 |
Maths
|
Carbon monoxide is not used in:
A. fire extinguisher
B. the manufacture of water gas
C. the manufacture of methanol and synthetic petrol
D. metal operations as a reducing agent.
| 1 |
Chemistry
|
Two mutually perpendicular long straight conductors carrying uniformly distributed charges of linear charge
densitites \( \lambda_{1} \) and \( \lambda_{2} \) are positioned at a
distance a from each other. How does
the interaction between the rods
depend on a?
| 3 |
Physics
|
Assertion
Metallic character increases from left to
right in a period.
Reason
The higher the value of ionization energy, electronegativity and electron affinity the more is the metallic
character of the element.
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
|
Resonance is not possible in
\( A \)
в.
c.
\( \mathrm{CH}_{2}=\mathrm{CH}-\mathrm{Cl} \)
D.
| 1 |
Chemistry
|
Family \( y=a x+a^{3} \) of curve
repersented by the differential equation of degree
\( A \). three
B. two
c. one
D. four
| 2 |
Maths
|
\( \int \frac{\cos 4 x}{\sin 2 x} d x \)
| 2 |
Maths
|
Find the mean of the following frequency distribution by the assumed
mean method:
\( \begin{array}{lllll}\text { No. of } & \mathbf{5 0}- & \mathbf{5 3 -} & \mathbf{5 6 -} & \mathbf{5 9 -} \\ \text { apples } & \mathbf{5 3} & \mathbf{5 6} & \mathbf{5 9} & \mathbf{6 2}\end{array} \)
No of
boxes 150 115
| 2 |
Maths
|
Two moles of an ideal monoatomic gas
occupies a volume \( V \) at \( 27^{\circ} \mathrm{C} \). The gas expands adiabatically to a volume \( 2 \mathrm{V} \) Calculate (a) the final temperature of the gas and (b) change on its internal
energy.
B. (a) \( 195 K \) (b) 2.7 k
\( c .(a) 189 K(b) 2.7 k J \)
D. (a) \( 195 \mathrm{k} \) (b) \( -2.7 \mathrm{kJ} \)
| 3 |
Physics
|
Why nitrogen exists as diatomic
molecule \( \left(N_{2}\right) \) and Phosphorus as \( P_{4} ? \)
| 1 |
Chemistry
|
\( S_{1} \) and \( S_{2} \) are two coherent sources of
sound having no initial phase
difference. The velocity of sound is 330 \( \mathrm{m} / \mathrm{s} . \) No maxima will be formed on the
line passing through \( S_{2} \) and
perpendicular to the line joining
\( \boldsymbol{S}_{1} \) and \( S_{2} . \) If the frequency of both the
sources is :
A. 330 \( \mathrm{Hz} \)
в. 120 Н \( z \)
\( c \cdot 100 \mathrm{Hz} \)
D. 220 нz
| 3 |
Physics
|
\( 50 \% \) of a radio active substance decays
in 5 hours. The time required for the
\( 87.5 \% \) decay is
A. 10 hours
B. 15hours
c. 12.5 hours
D. 17.5 hours
| 3 |
Physics
|
Two magnetic monopoles are kept apart by a distance 'd. The magnetic force acting on each pole is ' \( \boldsymbol{F} \) ". How much percentage must the distance between the magnetic poles be changed so that the magnetic force acting on each pole
be \( 4 F \)
A. Decreases by \( 50 \% \)
B. Decreases by 20\%
c. Increased by \( 50 \% \)
D. Increased by \( 20 \% \)
| 3 |
Physics
|
A body dropped from the top of a tower covers \( \frac{7}{16} \) of the height in the last second of its fall. The time of fall is :
\( A \cdot 2 \sec \)
B. 4 sec
c. \( 1 \mathrm{sec} \)
D. \( \left[\frac{50}{7}\right] \) sec
| 3 |
Physics
|
What is the surface area of a cube of
side \( 15 \mathrm{cm} ? \)
| 2 |
Maths
|
Let \( a_{1}, a \) and \( b_{1}, b_{2}, \dots . \) be the arithmetic
progressions such that \( a_{1}=25, b_{1}= \)
75 and \( a_{1} 00+b_{100} . \) The sum of the first
one hundred terms of the progressions
\( \left(a_{1}+b_{1}\right),\left(a_{2}+b_{2}\right), \dots \dots \) is
\( A \cdot O \)
B. 100
\( c \cdot 10,000 \)
D. 5,05,000
| 2 |
Maths
|
The cycle is shown in figure is made of
one mole of perfect gas in a cylinder
with a piston. The processes \( A \) to \( B \) and \( \mathrm{C} \) to \( \mathrm{D} \) are isochoric whereas process \( \mathrm{B} \)
to \( C \) and \( D \) to \( A \) are adiabatic, the work
done in one cycle is \( \left(V_{A}=V_{B}=V, V_{C}=\right. \)
\( \left.V_{D}=2 V \text { and } \Upsilon=5 / 3\right) \)
A \( \cdot\left[1-4^{3 / 2}\right]\left(P_{B}-P_{A}\right) V \)
B \( \cdot \frac{3}{2}\left[1-3^{2 / 3}\right]\left(P_{B}-P_{A}\right) V \)
c. \( \frac{3}{2}\left[1-2^{-2 / 3}\right]\left(P_{B}-P_{A}\right) V \)
D. \( \frac{5}{2}\left[1-2^{-2 / 3}\right]\left(P_{B}-P_{A}\right) V \)
| 3 |
Physics
|
Identify the correct statement in the
following:
A. Propan-1-ol and propan-2-ol are position isomers
B. Ethanoic acid and methyl methanoate are position isomers
C. N-butane and isobutene are functional isomers
D. Dimethyl ether and ethanol are chain isomers
| 1 |
Chemistry
|
The compound in which cation is
isoelectronic with anion is:
A . \( N a C l \)
в. \( C s F \)
c. \( N a I \)
D. \( K_{2} \)
| 1 |
Chemistry
|
Bond length depends upon
This question has multiple correct options
A. bond order
B. \( \pi \) -bonding
C. state of hybridization
D. none of these
| 1 |
Chemistry
|
Muscle growth during puberty occurs
A. only in males
B. Only in females
c. In both genders
D. Very slowly in females
| 0 |
Biology
|
Construct the graphs of the following
function.
\( \boldsymbol{y}=|\boldsymbol{x}-1|+|\boldsymbol{x}-2|+\boldsymbol{x} \)
| 2 |
Maths
|
The following configuration of gate is
equivalent to
A. NAND gate
B. XOR gate
c. or gate
D. NOR gate
| 3 |
Physics
|
A strip of copper and another of germanium are cooled from room
temperature to \( 80 K \). The resistance of
A. each of these decreases.
B. copper strip decreases and that of germanium decreases
C. copper strip decreases and that of germanium increases
D. each of these increases.
| 3 |
Physics
|
\( f(x)=\sin x \) -ax is decreasing in \( R \) if
\( \mathbf{A} \cdot \mathbf{a}>1 \)
B. \( a<13 \)
c. \( _{a>\frac{1}{2}} \)
D. \( a<\frac{1}{2} \)
| 2 |
Maths
|
Size of atom is measured in
| 3 |
Physics
|
Which of the following cannot act as a ligand :
\( A \cdot B F_{3} \)
B. NH
\( c \cdot \) No
D. cN
| 1 |
Chemistry
|
An electron collides with a Hydrogen atom in its ground state and excites it
to \( n=3 \) state. The energy given to the
Hydrogen atom in his inelastic collision (neglecting the recoil of Hydrogen atom) is
A . \( 10.2 e V \)
в. \( 12.1 e V \)
c. \( 12.5 e V \)
D. \( 13.6 e V \)
| 3 |
Physics
|
The fraction \( \frac{\sqrt{\mathbf{3 x - a}}-\sqrt{x+a}}{x-a} \)
becomes \( \frac{\mathbf{0}}{\mathbf{0}} \) when \( \boldsymbol{x}=\boldsymbol{a} \)
| 2 |
Maths
|
Two particles execute SHM of same amplitude and same time period, about
same mean position but with a phase difference between them. At an instant
they are found to cross each other at
\( x=+\frac{A}{3} . \) The phase difference between
them is:
\( \mathbf{A} \cdot 2 \cos ^{-1}\left[\frac{1}{5}\right] \)
B \( \cdot 2 \sin ^{-1}\left[\frac{1}{5}\right] \)
C \( \cdot 2 \cos ^{-1}\left[\frac{1}{3}\right] \)
D. \( 2 \sin ^{-1}\left[\frac{1}{3}\right] \)
| 3 |
Physics
|
In an adiabatic change, the pressure
and temperature of a monoatomic gas
are related with relation as \( \boldsymbol{P} \propto \boldsymbol{T}^{C} \)
where \( C \) is equal to
A \( \cdot \frac{5}{4} \)
B. \( \frac{5}{3} \)
\( c \cdot \frac{5}{2} \)
D. \( \frac{3}{5} \)
| 3 |
Physics
|
The area of the region bounded by the curve \( y=x^{2} \) and \( y=4 x-x^{2} \) is
A \( \cdot \frac{16}{3} \) sq.units
B. \( \frac{8}{3} \) sq.units
c. \( \frac{4}{3} \) sq.units
D. \( \frac{2}{3} \) sq.units
| 2 |
Maths
|
The maximum kinetic energy of electron emitted in the photoelectric effect linearly depends on the of
the incident radiations.
A. temperature
B. amplitude
c. number
D. frequency
| 1 |
Chemistry
|
The moment of inertia of a circular of
mass \( M \) and radius \( R \) about an axis
passing through the center of mass is
10. The moment of inertia of
another circular disc of same mass and
thickness but half the density about the
same axis is
A \( \cdot \frac{I_{0}}{8} \)
B. \( \frac{I_{0}}{4} \)
\( c \cdot 8 I_{0} \)
D. \( 2 I_{0} \)
| 3 |
Physics
|
Assertion
0.2 per cent solution of phenol is an
antiseptic while its one percent solution is disinfectant.
Reason
Antiseptics are also called disinfectant.
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
|
In the number \( 0.257, \) which of the
following does the digit 7 represent??
A \( \cdot 7 \times \frac{1}{10} \)
в. \( 7 \times \frac{1}{100} \)
c. \( _{7 \times \frac{1}{1000}} \)
D. \( 7 \times \frac{1}{10000} \)
E \( \cdot 7 \times \frac{1}{100000} \)
| 2 |
Maths
|
For a particular reaction, \( \Delta \boldsymbol{H}^{o}= \)
\( -38.3 k J \) and \( \Delta S^{o}= \)
\( -113 J K^{-1} m o l^{-1} . \) This reaction is:
A. spontaneous at all temperatures
B. non-spontaneous at all temperatures
C. spontaneous at temperatures below \( 66^{\circ} \mathrm{C} \)
D. spontaneous at temperatures above \( 66^{\circ} \mathrm{C} \)
| 1 |
Chemistry
|
Number of faradays' required to generate one gram atom of magnesium
from molten \( M g C l_{2} \) is
A . 1
B . 2
\( c .3 \)
D.
| 1 |
Chemistry
|
The ages of two persons differ by 16 years. If 6 years ago, the elder one be 3 times as old as the younger one, find their present ages.
A. 15 years and 31 years
B. 14 years and 30 years
c. 12 years and 28 years
D. 10 years and 26 years
| 2 |
Maths
|
While orbiting around the earth in a apaceship, an astronaut experiences
A. more weight
B. lesser weight
c. weightlessness
D. nothing at all
| 3 |
Physics
|
The end of a wire of length \( 0.5 \mathrm{m} \) and
radius \( 10^{-3} m \) is twisted through 0.80
radian. The shearing strain at the surface of wire will be :
A \( .1 .6 \times 10^{-3} \)
B . \( 1.6 \times 10^{3} \)
C \( .16 \times 10^{3} \)
D. \( 16 \times 10^{6} \)
| 3 |
Physics
|
Integrate the following \( \int \frac{1}{x^{2}+8 x+20} d x \)
A \( \cdot \frac{1}{2} \sin ^{-1} \frac{x+4}{2}+C \)
B. \( \frac{1}{2} \cot ^{-1} \frac{x+4}{2}+C \)
c. \( \frac{1}{2} \tan ^{-1} \frac{x+4}{2}+C \)
D. None of these
| 2 |
Maths
|
What is the strength of the electric field in the velocity selector?
A \( \cdot 2 \times 10^{5} N C^{-1} \)
B . \( 2 \times 10^{3} N C^{-1} \)
c. \( 2 \times 10^{6} N C^{-1} \)
D. \( 2 \times 10^{4} N C^{-1} \)
| 3 |
Physics
|
solve: \( \left|\begin{array}{ccc}\boldsymbol{x} & \boldsymbol{2} & -\mathbf{1} \\ \boldsymbol{3} & -\boldsymbol{1} & \boldsymbol{4} \\ \boldsymbol{x} & \boldsymbol{2} & -\boldsymbol{5}\end{array}\right|=\mathbf{0} \)
| 2 |
Maths
|
One of the characteristics of nuclear
reactions is that in their decayed or fused parts
A. total mall number keeps on changing
B. total charge number keeps on changing
c. total charge number remains constant
D. all the above
| 3 |
Physics
|
The value of \( m \) for which the
expressions \( 2 m-5 \) and \( 5 m-11 \)
become equal is
A . -2
B. 0
\( c \cdot 2 \)
D. -
| 2 |
Maths
|
A student investigates the rate of
reaction between marble chips and
hydrochloric acid.
The mass of the reaction flask is
measured.
The graph shows the results of two
experiments, \( P \) and \( Q \)
Which change explains the difference
between \( \boldsymbol{P} \) and \( \boldsymbol{Q} \) ?
A. A catalyst is added in \( P \)
B. A higher temperature is used in \( P \)
c. Bigger marble chips are used in \( Q \)
D. Hydrochloric acid is more concentrated in \( Q \)
| 1 |
Chemistry
|
Work done during the combustion of
one mole of \( C H_{4} \) in bomb calorimeter
is:
A . zero
в. -101 Л
c. \( -24.2 J \)
D. \( -1 J \)
| 1 |
Chemistry
|
GnRH of hypothalamus stimulates secretion of
A. Aldosterone from adrenals
B. ADH from posterior pituitary
C. FSH and LH from anterior pituitary
D. Thyroxine from thyroid
| 0 |
Biology
|
What is Global Warming? Write their main five reasons.
| 0 |
Biology
|
Write the structures of the given compounds whose IUPAC names are
given as:
1,2,3-propoantriol
| 1 |
Chemistry
|
Choose the correct set of True/False for
the following statements:
(i) Silver chloride is more soluble in very
concentrated sodium chloride solution
than in pure water.
(ii)The pH od a buffer solution does not change on addition of small amountof
an acid or a base.
| 1 |
Chemistry
|
Suhail wants to paint the flour walls of a
room having dimensions \( 20 m \times 6 m \)
From each can of paint, 96 sq. \( \mathrm{m} \) of the area is painted. How many cans of paint will he need to paint the room?
| 2 |
Maths
|
Suppose the earth shrinks such that its
radius decreases to half the present
value. What will be the acceleration due
to gravity on the surface of the earth?
| 3 |
Physics
|
Match the following:
Section - A section - B
(P) Converts electric energy into
(1) Fuse \( \quad \) mechanical energy
(2) Electric
(Q) Heating effect of electric current
(3) Electric
(R) Converts mechanical energy Motor \( \quad \) into electrical energy
A \( \cdot(1-\mathrm{Q}),(2-\mathrm{R}),(3-\mathrm{P}) \)
B. (1 - Q), (2 - P), (3 - R)
c. \( (1-P),(2-Q),(3-R) \)
D. \( (1-P),(2-R),(3-Q) \)
| 3 |
Physics
|
Which of the following properties is not exhibited by planets?
A. Do not have their own light
B. Revolve around the sun and rotate around itself
c. Keep changing their position
D. Follow randomly changing orbits
| 3 |
Physics
|
During the purification of copper by electrolysis:
This question has multiple correct options
A. the anode used is made of copper ore
B. pure copper is deposited on the cathode
C. the impurities such as \( A g, A u \) present in solution as ions
D. concentration of \( C u S O_{4} \) solution remains constant
during dissolution of \( C u \)
| 1 |
Chemistry
|
The internal energy of 1 mol of an ideal gas depends on
A. only volume
B. only temperature
c. only pressure
D. temperature and pressure
| 3 |
Physics
|
Chambers in human heart
A . 1 auricle, 1 ventricle
B. 2 auricles, 1 ventricle
c. 1 auricle, 3 ventricles
D. 2 auricles, 2 ventricles
| 0 |
Biology
|
What is the value of universal gas
constant
| 3 |
Physics
|
An ideal battery of emf \( 2 V \) and a series
resistance \( R \) are connected in the
primary circuit of a potentiometer of length \( 1 \mathrm{m} \) and resistance \( \Omega \). The value of \( \boldsymbol{R} \) to give a potential difference of \( \mathbf{5} \) \( m V \) across the \( 10 \mathrm{cm} \) of potentiometer wire is:
\( \mathbf{A} \cdot 180 \Omega \)
в. \( 190 \Omega \)
c. \( 195 \Omega \)
D. 200\Omega
| 3 |
Physics
|
In the diagram 0 is the centre of a
circle. \( A E+E B=C E+E D O P \perp A B \) and \( 0 Q \)
\( \perp \) CD then true relation between OP and
OQ is
A. ор > \( 0 Q \)
B. op < \( 0 Q \)
\( c \cdot o p=\frac{1}{2} o Q \)
D. OP = OO
| 2 |
Maths
|
Q Type your question
speed \( v \) in such a way that \( K \) always
moves directly towards \( L, L \) directly
moves towards \( M, M \) directly towards
\( N \) and \( N \) directly towards \( K . \) The four
persons will meet at time \( t= \)
\( ^{A} \cdot \underline{4 d} \)
\( v \)
в. \( \frac{3 d}{v} \)
c. \( \frac{2 d}{v} \)
\( D \cdot d \)
| 3 |
Physics
|
Passive absorption of minerals depend
on:
A. Temperature
B. Temperature and metabolic inhibitor
c. Metabolic inhibitor
D. Humidity
| 1 |
Chemistry
|
Let \( G \) and \( G^{1} \) be the centroids of the
triangles \( A B C \) and \( A^{1} B^{1} C^{1} \)
respectively, then \( \boldsymbol{A} \boldsymbol{A}^{1}+\boldsymbol{B} \boldsymbol{B}^{1}+\boldsymbol{C} \boldsymbol{C}^{1} \)
is equal to
\( \mathbf{A} \cdot 2 G G^{1} \)
B. \( 3 G^{1} G \)
\( \mathbf{c} \cdot 3 G G^{1} \)
D. \( \frac{3}{2} G G^{1} \)
| 2 |
Maths
|
liquid is kept on a table in a vacuum. The force exerted by the liquid on the
base of the flask is \( W_{1} \). The force exerted
by the flask on the table is \( W_{2} \)
This question has multiple correct options
A \( . W_{1}=W_{2} \)
\( \mathbf{B} \cdot W_{1}>W_{2} \)
c. \( W_{1}<W_{2} \)
D. The force exerted by the liquid on the walls of the flask
is \( \left(W_{1}-W_{2}\right) \)
| 3 |
Physics
|
(i) Solve the equation \( \left|\begin{array}{ccc}\boldsymbol{x}-\mathbf{1} & \boldsymbol{2} & \boldsymbol{3} \\ \mathbf{0} & \boldsymbol{x}-\boldsymbol{2} & \boldsymbol{4} \\ \boldsymbol{0} & \boldsymbol{0} & \boldsymbol{x}-\boldsymbol{3}\end{array}\right| \)
(ii) Show that \( \left|\begin{array}{ccc}\mathbf{1} & \boldsymbol{a} & \boldsymbol{b} \boldsymbol{c} \\ \mathbf{1} & \boldsymbol{b} & \boldsymbol{c a} \\ \mathbf{1} & \boldsymbol{c} & \boldsymbol{a b}\end{array}\right|=\left|\begin{array}{ccc}\mathbf{1} & \boldsymbol{a} & \boldsymbol{a}^{2} \\ \mathbf{1} & \boldsymbol{b} & \boldsymbol{b}^{2} \\ \mathbf{1} & \boldsymbol{c} & \boldsymbol{c}^{2}\end{array}\right| \)
| 2 |
Maths
|
Factorize the expression: \( 9 x^{4}+\frac{1}{x^{4}}+2 \)
| 2 |
Maths
|
In an experiment with 15 observation on \( x, \) the following results were available \( \sum x^{2}=2830, \sum x=170, \) one
observation was that +20 was found to
be wrong and was replaced by the correct value \( 30, \) then the corrected
variance is
A . 188.66
B. 177.33
\( c \cdot 8.33 \)
D. 78.00
| 2 |
Maths
|
Find out what do the terms algal bloom and red-tides signify.
| 0 |
Biology
|
Which of the following statements
is/are correct?
This question has multiple correct options
A. Molecular formula or molecular mass of a gaseous hydrocarbon can be determined even without knowing their percentage composition by audiometry
B. In Lassaigne's test, N and S both present in the organic compounds are converted into \( C N S \) ion
\( \mathrm{C} \cdot K_{2} S O_{4} \) and \( C u S O_{4} \) are added in Kjeldahl's method. \( K_{2} S O_{4} \) acts as a catalyst while \( C u S O_{4} \) raises the
boiling point of \( H_{2} S O_{4} \)
D. Layer test is used to distinguish \( C l^{\ominus} \) and \( B r^{\ominus} \) ions
| 1 |
Chemistry
|
Choose the most appropriate answer.
(a) Internal fertilization occurs
(i) in female body.
(ii) outside female body.
(iii) in male body
(iv) outside male body.
(b) A tadpole develops into an adult frog
by the process of
(i) fertilization
(ii) metamorphosis (iii) embedding (iv) budding
(c) The number of nuclei present in a
zygote is
(i) none
(ii) one
(iii) two
(iv) four
| 0 |
Biology
|
The half-life period of a first order process is \( 1.6 \mathrm{min} \). It will be \( 90 \% \)
complete in:
A. 5.3 min
B . 10.6 min
c. 43.3 min
D. 99.7 min
| 1 |
Chemistry
|
The methods for extracting metals from
their ores are:
1. roasting a metal sulphide
2. chemical reduction of a metal oxide
3. electrolysis,
The preferred method depends on \( \boldsymbol{E}^{\circ} \)
value for the reducing half-reaction:
\( M^{n+}(a q)+n e^{-} \rightarrow M(s) \)
Which method is preferred for the
metals with the most positive \( \boldsymbol{E}^{\circ} \)
values?
| 1 |
Chemistry
|
The electron configuration for \( C u \) is \( 1 s^{2} 2 s^{2} 2 p^{6} 3 s^{2} 3 p^{6} 4 s^{1} 3 d^{10} \)
How many inner core electrons does
copper contain?
\( \mathbf{A} \cdot \mathbf{1} \)
B . 10
c. 18
D. 28
| 1 |
Chemistry
|
Two cells of ends \( E_{1} \) and \( E_{2}\left(E_{1}>E_{2}\right) \)
are connected as shown In figure. When a potentiometer is connected between \( A \) and \( B \), the balancing length of the potentiometer wire is \( 300 \mathrm{cm} . \) On connecting the same potentiometer between \( A \) and \( C, \) the balancing length is \( 100 \mathrm{cm} . \) The ratio I is \( \frac{E_{1}}{E_{2}} \) is
A . 3: 1
B. 1: 3
\( c \cdot 2: 3 \)
D. 3: 2
| 3 |
Physics
|
In a class, the number of girls is \( 20 \% \)
more than that of boys. The strength of the class is \( 66 . \) If 4 more girls are
admitted to the class, what will be the
ratio of the number of boys to that of the girls?
A .3: 4
B. 5: 2
c. 1: 3
D. 2: 7
| 2 |
Maths
|
The hybrid orbital of the central atom in
\( A l F_{4}^{-} \) is:
\( \mathbf{A} \cdot s p \)
B . \( s p^{2} \)
\( \mathbf{c} \cdot s p^{3} \)
D. \( d s p^{2} \)
| 1 |
Chemistry
|
The phenomenon of interference is
shown by
A. longitudinal mechanical waves only
B. transverse mechanical waves only
C. non-mechanical transverse waves only
D. All of the above
| 3 |
Physics
|
\( \lim _{x \rightarrow 2} \frac{x^{7}-128}{x^{5}-32}= \)
A \( \cdot \frac{5}{28} \)
в. \( \frac{7}{5} \)
c. \( \frac{28}{5} \)
D. 5 \( \overline{7} \)
| 2 |
Maths
|
With the increase in temperature, the density of a substance, in general,
A. increases
B. decreases
c. first increase then decreases
D. first decrease then increases
| 3 |
Physics
|
For \( \tan ^{-1}\left(\frac{1-x}{1+x}\right), 0 \leq x \leq 1 \)
What is the sum of the smallest and the
largest values of function.
A \( \cdot \frac{\pi}{4} \)
в. \( \frac{\pi}{2} \)
c. \( \frac{3 \pi}{4} \)
D. \( \frac{3 \pi}{2} \)
| 2 |
Maths
|
If \( \tan \theta, 2 \tan \theta+2,3 \tan \theta+3 \) are in
G.P, then the value of \( \frac{7-5 \cot \theta}{9+4 \sqrt{\sec ^{2} \theta-1}} \)
is
A \( \cdot \frac{12}{5} \)
в. \( \frac{-33}{28} \)
c. \( \frac{33}{100} \)
D. \( \frac{12}{13} \)
| 2 |
Maths
|
The equilibrium constant for the
reaction, \( \boldsymbol{C H}_{3} \boldsymbol{C O O H}(\boldsymbol{l})+ \)
\( \boldsymbol{C}_{2} \boldsymbol{H}_{5} \boldsymbol{O} \boldsymbol{H}(\boldsymbol{l}) \rightleftharpoons \boldsymbol{C} \boldsymbol{H}_{3} \boldsymbol{C O O} \boldsymbol{C}_{2} \boldsymbol{H}_{5}(\boldsymbol{l})+ \)
\( \boldsymbol{H}_{2} \boldsymbol{O}(l) \) is \( 4 . \) What will be the
composition of the equilibrium mixture
when 1 mole of acetic acid is taken
along with 4 moles of ethyl alcohol?
| 1 |
Chemistry
|
During lightning, the oxygen present in the atmosphere is converted
into
A. ozone
B. nascent oxygen
c. oxygen atoms
D. None of the above
| 1 |
Chemistry
|
Ellingham diagram represents change
of:
A. \( \Delta G \) with temperature
B. \( \Delta H \) with temperature
c. \( \Delta G \) with pressure
D. \( (\Delta G-T \Delta S) \) with temperature
| 1 |
Chemistry
|
Assertion
Pulmonary circulation consists of flow of deoxygenated blood from right ventricle to the lungs and flow of oxygenated blood from lungs to the left atrium.
Reason
Systemic circulation consists of flow of
oxygenated blood from the left ventricle to all parts of the body and deoxygenated blood from different parts to right atrium.
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
|
When the following is added to \( 20 \mathrm{ml} \) of
\( 0.1 \mathrm{M} C H_{3} C O O H+20 \mathrm{ml} \) of
\( \boldsymbol{C H}_{3} \boldsymbol{C O O N a} . \) The pH of the solution
does not change:
A. \( 10 \mathrm{ml} \) of \( 0.1 \mathrm{M} C \mathrm{CH}_{3} \mathrm{COOH} \).
B . 10 \( \mathrm{ml} \) of \( 0.1 \mathrm{M} C \mathrm{CH}_{3} \mathrm{COONa} \)
c. \( 10 \mathrm{ml} \) of water
D. 20 mI of 0.2 M \( C H_{3} \) COOH
| 1 |
Chemistry
|
If \( f(x)=\frac{a^{x}}{x^{a}} \) then \( f^{\prime}(a)= \)
A. \( \log a-1 \)
B. \( \log a-a \)
\( \mathbf{c} \cdot a \log a-a \)
D. a log \( a+a \)
| 2 |
Maths
|
If \( A \) is a \( 3 x 3 \) non singular matrix and
\( |\boldsymbol{a} \boldsymbol{d} \boldsymbol{j} \boldsymbol{A}|=|\boldsymbol{A}|^{x},|\boldsymbol{a} \boldsymbol{d} \boldsymbol{j}(\boldsymbol{a} \boldsymbol{d} \boldsymbol{j} \boldsymbol{A})|= \)
\( |\boldsymbol{A}|^{y},\left|\boldsymbol{A}^{-1}\right|=|\boldsymbol{A}|^{z} \) then the values of
\( \mathbf{x}, \mathbf{y}, \mathbf{z}, \) in descending order
A. \( \mathrm{x}, \mathrm{Y}, \mathrm{z} \)
в. Z, Y, х
c. \( \mathrm{z}, \mathrm{x}, \mathrm{y} \)
D. Y, x, z
| 2 |
Maths
|
Find the sum of Arithmetic
progressions of 20 terms \( 1,5,9,13, \dots . \) Also find last term.
| 2 |
Maths
|
Represent follow complex no. in polar
form.
\( \boldsymbol{z}=-\mathbf{1}+\sqrt{\mathbf{3}} \boldsymbol{i} \)
| 2 |
Maths
|
Casparian strips are present in
of the root.
A. Epiblema
B. cortex
c. Pericycle
D. Endodermis
| 0 |
Biology
|
The correct order of increasing acid strength of the compounds:
\( (A) C H_{3} C O_{2} H \)
(B) \( M e O C H_{2} C O_{2} H \)
\( (\mathrm{C}) \mathrm{C} \boldsymbol{F}_{3} \boldsymbol{C O}_{2} \boldsymbol{H} \)
(D) \( \left(C H_{3}\right)_{2} C C O O H: \)
A. \( b<d<a<c \)
в. \( d<a<c<b \)
c. \( d<a<b<c \)
D. \( a<d<c<b \)
| 1 |
Chemistry
|
ZW method of sex determination is
applicable to
A. Birds
B. Fish
c. Butterfly
D. All of the above
| 0 |
Biology
|
The nitrogen atoms in \( N H_{3}, N H_{2}^{-} \) and
\( N H_{4}^{+} \) are all surrounded by eight electrons. When these species
are arranged according to \( H N H \) bond angle, the correct order is :
A \( . N H_{3}<N H_{2}^{-}<N H_{4}^{+} \)
B. \( N H_{4}^{+}<N H_{2}^{-}<N H_{3} \)
C \( . N H_{3}<N H_{4}^{+}<N H_{2}^{-} \)
D. \( N H_{2}^{-}<N H_{3}<N H_{4}^{+} \)
| 1 |
Chemistry
|
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.