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Which gas is emitted by the combustion of fossil fuels?
A. \( C O_{2} \)
в. \( S O_{2} \)
\( \mathrm{c} \cdot H_{2} \)
D. \( N O_{2} \)
| 0 |
Biology
|
toppr ócin
Q Type your question
conductor as shown. Now as the point
charge \( Q \) is pushed away from
conductor, the potential difference
\( \left(V_{A}-V_{B}\right) \) between two points \( A \) and
\( B \) within the cavity of sphere remains
constant
Reason
The electric field due to charge on outer
surface of conductor and outside the
conductor is zero at all points inside the
conductor
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
| 3 |
Physics
|
From the given cells:
Lead storage cell, Mercury cell, Fuel cell and Dry cell Answer the following:
(i) Which cell is used in hearing aids?
(ii) Which cell was used in Apollo Space
Programme?
(iii) Which cell is used in automobiles
and inverters?
(iv) Which cell does not have long life?
| 1 |
Chemistry
|
Air filled in dead space is
A . 150 ç
B. 350 сс
c. 500 cc
D. 1500 cc
| 0 |
Biology
|
The product formed when horn silver ore (chlorargyrite) is leached with aqueous \( N a C N \) solution is:
A. silver metal
B. silver chloride
c. silver cyanide
D. sodium argentocyanide
| 1 |
Chemistry
|
A fraction with denominator \( 3, \) which is
less than 1 is
\( A \cdot \frac{4}{3} \)
B.
\( c \cdot 1 \frac{2}{3} \)
D. None
| 2 |
Maths
|
Give \( I U P A C \) name
| 1 |
Chemistry
|
Convert \( 1 g / c m^{3} \) to \( k g / m^{3} \)
A. 1000
B. 100
c. \( 0 . \)
D. 10
| 3 |
Physics
|
De-Broglie wavelength depends on
A. Mass of the particle
B. Size of the particle
C. Material of the particle
D. Shape of the particle
| 3 |
Physics
|
Assertion
\( F e^{3+} \) can be used for coagulation of
\( A s_{2} S_{3} \) sol.
Reason
\( F e^{3+} \) reacts with \( A s_{2} S_{3} \) to give \( F e_{2} S_{3} \)
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
|
Extinct human ancestor who ate only
fruits and hunted with stone weapons
was
A. Australopithecus
B. Dryopithecus
c. Ramapithecus
D. Homo erectus
| 0 |
Biology
|
Describe the extraction of magnesium and bromine from sea water
| 1 |
Chemistry
|
When transistors are used in digital circuits they usually operate in
A. active region
B. breakdown region
c. linear region
D. saturation and cutoff regions
| 3 |
Physics
|
Calculate the current through a lamp of \( 25 w \) operating at \( 220 v \)
\( A \cdot 2 A \)
B. 25A
c. 0.114 A
D. \( 6 A \)
| 3 |
Physics
|
Two resistors are connected in series
\( \operatorname{across} \) a \( 5 ~ V \) rms source of alternating potential. The potential difference \( \operatorname{across} 6 \Omega \) resistor is \( 3 V . \) If \( R \) is
replaced by a pure inductor \( L \) of such
magnitude that current remains same, then the same potential difference \( \operatorname{across} L \) is:
\( \mathbf{A} \cdot 1 V \)
B. \( 2 V \)
c. \( 3 V \)
D. \( 4 V \)
| 3 |
Physics
|
Which of the following materials conducts electricity?
A. crystalline potassium chloride
B. Fused sulphur
c. Molten sodium chloride
D. Diamond
| 1 |
Chemistry
|
For the same value of angle of incidence, the angles of refraction in
three media \( A, B \) and \( C \) are \( 15^{\circ}, 25^{\circ} \)
and \( 35^{\circ} \) respectively. In which medium
would the velocity of light be minimum?
| 3 |
Physics
|
The force applied on a body on a rough
surface of coefficient of friction \( \mu \)
produces an acceleration \( a \). If
coefficient of friction between the body
and the surface is reduced to \( \mu / 3, \) the
acceleration increases by 2 units. The
value of \( \mu \) is:
\( \mathbf{A} \cdot \frac{2}{3} g \)
B. \( \frac{3}{2} g \)
\( c \cdot \frac{3}{g} \)
D. \( \frac{1}{g} \)
| 3 |
Physics
|
Cathode rays gain kinetic energy 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 momentum remain unaffected
| 3 |
Physics
|
A vector \( \vec{A} \) points vertically downward(south)and \( \vec{B} \) points towards east, then the vector product \( \vec{A} \times \vec{B} \) is:
A . Along west
B. Along east
c. zero
D. Outwards or inwards
| 2 |
Maths
|
If \( a, b, c \) are the lengths of sides of a triangle, then the minimum value of \( \frac{a}{b}+\frac{b}{c}+\frac{c}{a} \)
\( A \)
B. 2
\( c \cdot 5 \)
D.
| 2 |
Maths
|
A.M. of \( 1,2, x, 3 \) is \( 0, \) then \( x= \)
| 2 |
Maths
|
Which of the following is a nonnarcotic analgesic?
A. Morphine
B. Codeine
c. Heroin
D. Aspirin
| 1 |
Chemistry
|
The vectors \( 3 i+j-5 k \) and \( a i+b j- \)
\( 15 k \) are collinear, if
A \( . a=3, b=1 \)
в. \( a=9, b=1 \)
c. \( a=3, b=3 \)
D. \( a=9, b=3 \)
| 2 |
Maths
|
In an uniform electric field \( \boldsymbol{E}=\mathbf{1 0} \boldsymbol{N} / \boldsymbol{C} \)
as shown in figure, find \( V_{B}-V_{C}: \)
\( \mathbf{A} \cdot 10 V \)
B. \( -10 V \)
\( \mathbf{c} \cdot 20 V \)
D \( .-20 V \)
| 3 |
Physics
|
\( A(2,6) \) and \( B(1,7) \) are two vertices of a triangle \( A B C \) and the centroid is (5,7) The coordinates of \( C \) are
A. (8,12)
B. (12,8)
c. (-8,12)
D. (10,8)
| 2 |
Maths
|
is calculated by deducting tax credit from tax collected during the payment period.
A. vat
B. profit
c. sales tax
D. discount
| 2 |
Maths
|
Which will have move inertia?
A. A plastic eraser
B. Pencil
\( c \). A book
D. A table
| 3 |
Physics
|
Out of benzene, m dinitrobenzene and
toluene which will undergo nitration most easily and why?
| 1 |
Chemistry
|
If \( a, b, c \) are three positive numbers,then the minimum value of the expression \( \frac{\boldsymbol{a b}(\boldsymbol{a}+\boldsymbol{b})+\boldsymbol{b} \boldsymbol{c}(\boldsymbol{b}+\boldsymbol{c})+\boldsymbol{c} \boldsymbol{a}(\boldsymbol{c}+\boldsymbol{a})}{\boldsymbol{b} \boldsymbol{c} \boldsymbol{a}} \)
A . 3
B. 4
\( c .6 \)
\( D \)
| 2 |
Maths
|
The trend in metallic characters of
elements in a period :
A. decreases
B. increases
c. constant
D. none of these
| 1 |
Chemistry
|
Suppose \( X \) has a binomial distribution with \( n=6 \) and \( p=\frac{1}{2} . \) Show that \( X=3 \)
is the most likely outcome.
| 2 |
Maths
|
Of the following quatities, which one
has dimensions different from the
remaining three?
A. Energy per unit volume
B. Force per unit area
c. Product of voltage and charge per unit volume
D. Angular momentum
| 3 |
Physics
|
Prove \( \frac{\cos 20^{\circ}+\sin 20^{\circ}}{\cos 20^{\circ}-\sin 20^{\circ}}=\tan 65^{\circ} \)
| 2 |
Maths
|
Which is not the characteristic of \( \pi- \)
bond?
A. \( \pi \) bond is formed when a sigma bond already exists
B. \( \pi \) bonds are formed from hybrid orbitals
C. \( \pi \) bond may be formed by the overlapping of p orbitals
D. \( \pi \) bond results from lateral overlap of atomic orbitals
| 1 |
Chemistry
|
The position \( x \) of a particle varies with
time \( t \) as \( a t^{2}-b t^{2} . \) The acceleration of
the particle be 0 at time \( t \) equals to
\( A \cdot \frac{a}{b} \)
B・彎
\( c \cdot \frac{a}{3} \)
D. zero
| 3 |
Physics
|
The nuclear reaction,
\( _{29}^{63} C u+_{2}^{4} H e \longrightarrow_{17}^{37} C l+14_{1}^{1} H+16_{0}^{1} n \)
is referred to as:
A. spallation reaction
B. fusion reaction
c. fission reaction
D. chain reaction
| 3 |
Physics
|
A metal wire of linear mass density of
\( 9.8 g m \) is stretched with a tension of
10 kg \( -w t \) betweentwo rigid supports 1
metre apart. The wire passes at its middle point between the poles of aper magnet and it vibrates in resonance when carrying an alternating current of frequency \( n \).The frequency nof the alternating source is
\( \mathbf{A} \cdot 50 H z \)
в. \( 100 H z \)
c. \( 200 H z \)
D. \( 25 H z \)
| 3 |
Physics
|
Solve the following equation: \( 10 p+ \)
\( \mathbf{1 0}=\mathbf{1 0 0} \)
| 2 |
Maths
|
Show that "Law of conservation of mass
is fullyjustified in a balanced chemical equation"
| 1 |
Chemistry
|
A uniform semicircular ring of radius \( \boldsymbol{R} \)
,and mass \( M \) is rotating about a vertical axis (passing through its circumference mid point) with angular
velocity \( \omega \) then its angular momentum is given as \( \frac{8 M R^{2}}{11 k} \omega \) then the value of \( k \) is
| 3 |
Physics
|
Assertion: The reaction; \( _{1} \boldsymbol{H}^{2}+_{0} \boldsymbol{n}^{1} \rightarrow \)
\( _{2} H e^{4}+_{0} n^{1} \) will not happen
Reason: The equation given is not balanced.
A. Both Assertion and Reason are true and Reason is the correct explanation of Assertion
B. Both Assertion and Reason are true but Reason is not the correct explanation of Assertion
c. Assertion is true but Reason is false
D. Assertion is false but Reason is true
E. Both Assertion and Reason are false
| 3 |
Physics
|
What is the maximum number of
orbitals that can be identified with the
following quantum numbers?
\( n=3, l=1, m_{l}=0 \)
\( A \)
B. 2
\( c \cdot 3 \)
D. 4
| 1 |
Chemistry
|
The following one represents logic addition is
A. \( 1+1=2 \)
B. \( 1+1=10 \)
c. \( 1+1=1 \)
D. \( 1+1=11 \)
| 3 |
Physics
|
If the temperature of a gas is increased
by \( 1 \mathrm{K} \) at constant pressure, its volume increases by 0.0035 of the initial volume.
The temperature of the gas is:
\( A \cdot 100 K \)
B. 150 K
c. \( 300 k \)
D. 285.7 K
| 3 |
Physics
|
A material that lets electricity to pass through it is called a/an-
A. Electrical appliances
B. Electrical conductor
c. Electrical insulator
D. None of these
| 3 |
Physics
|
The value of acceleration due to gravity as we move from equator to
pole
A . increases
B. decreases
c. remains same
D. becomes zero
| 3 |
Physics
|
Assertion
Velocity time graph of two particles undergoing head-on collsion is shown in the figure. If collision is inelastic then
value of y must be less than \( x \)
Reason
Coefficient of restitution(e) \( = \) velocity of |velocity of
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
| 3 |
Physics
|
Solids which break or rupture above the elastic limit are classified as:
A . brittle
B. elastic
c. ductile
D. malleable
| 3 |
Physics
|
The safety fuse should have
A. high resistance and high melting point
B. high resistance and low melting point
C. low resistance and high melting point
D. low resistance and low melting point
| 3 |
Physics
|
The following equation represents a method of purification of nickel by:
\( N i+4 C O(\text {impure}) \stackrel{320 K}{\rightarrow} N i(C O)_{4} \stackrel{420 L}{\longrightarrow} \)
A. Cupellation
B. Mond's process
c. van Arkel method
D. zone refining
| 1 |
Chemistry
|
A reaction mixture containing \( \boldsymbol{H}_{2}, \boldsymbol{N}_{2} \)
and \( N H_{3} \) has partial pressure 2 atm, latm and 3 atm respectively at 725 K. If
the value of \( K \) for the reaction. \( N_{2}+ \)
\( \mathbf{3} \boldsymbol{H}_{2} \rightleftharpoons \mathbf{2} \boldsymbol{N} \boldsymbol{H}_{3} \) is \( \mathbf{4 . 2 8} \times \mathbf{1 0}^{-\mathbf{5}} \)
\( \operatorname{atm}^{-2} \) at \( 725 \mathrm{K}, \) in which direction the net reaction will go:
A. forwarddard
B. backward
c. no net reaction
D. direction of reaction cannot be predicted
| 1 |
Chemistry
|
Corrosion can be prevented by :
A. painting the metal surface
B. alloying the metal with more anodic metal
C. to prevent the contact of the metal surface with good electrical conducting media
D. all
| 1 |
Chemistry
|
Two balls are rolling on a flat smooth
table. One ball has velocity components \( \sqrt{3} \hat{j} \) and \( \hat{i} \) while the other has components \( 2 \hat{i} \) and \( 2 \hat{j} \). If both start moving simultaneously from the same point, the angle between their paths is:
A . 15
в. 30
c. 45
D. \( 60^{\circ} \)
| 3 |
Physics
|
Aquaregia is part conc. HCl and
part conc. \( \boldsymbol{H} \boldsymbol{N} \boldsymbol{O}_{3} \)
A. one,three
B. one,one
c. three,three
D. three,one
| 1 |
Chemistry
|
Calculate the mean deviation about the
mean of the set of first \( n \) natural
numbers when \( n \) is an even number
| 2 |
Maths
|
For position of real object at \( x_{1} \) and
\( x_{2}\left(x_{2}>x_{1}\right) \) magnification is equal to 2
Find out \( \frac{x_{1}}{x_{2}} . \) if focal length of converging
lens \( \boldsymbol{f}=\mathbf{2 0} \boldsymbol{c m} \)
A \( \cdot \frac{1}{2} \)
B. \( \frac{1}{4} \)
\( c \cdot 2 \)
D.
| 3 |
Physics
|
The volume change of a solid copper
cube \( 10 c m \) on an edge, when subjected
to a pressure of \( 7 M P a \) is then (Bulk modulus of copper \( =140 G P a) \)
A \( .5 \times 10^{-2} \mathrm{cm}^{3} \)
В. \( 10 \times 10^{-2} \mathrm{cm}^{3} \)
\( \mathbf{c} \cdot 15 \times 10^{-2} c m^{3} \)
D. \( 20 \times 10^{-2} \mathrm{cm}^{3} \)
| 3 |
Physics
|
A cylinder of capacity \( 20 L \) is filled with
\( \boldsymbol{H}_{2} \) gas. The total average kinetic energy
of translatory motion of its molecules is
\( 1.5 \times 10^{5} J . \) The pressure of hydrogen in
the cylinder is
A \( .2 \times 10^{6} \mathrm{N} / \mathrm{m}^{2} \)
в. \( 3 \times 10^{6} \mathrm{N} / \mathrm{m}^{2} \)
c. \( 4 \times 10^{6} N / m^{2} \)
D. \( 5 \times 10^{6} N / m^{2} \)
| 3 |
Physics
|
Comets revolve around the Sun:
A. in a highly elliptical orbit
B. along a circular orbit
C. in an elliptical orbit
D. varying orbit depending on the comet
| 3 |
Physics
|
238
92 \( \mathrm{U} \) atom disintegrates to \( ^{214} 84 P \mathrm{o} \)
with a half life of \( 4.5 \times 10^{9+} \) years by
emitting six alpha particle and \( n \) electrons. Here n is
\( A \cdot 6 \)
B. 4
\( c \cdot 10 \)
D.
| 3 |
Physics
|
Find the median of the following data.
\[
\begin{array}{lllll}
\text { Maths } & \mathbf{6 0}- & \mathbf{6 5}- & \mathbf{7 0 -} & \mathbf{7} \\
\text { marks } & \mathbf{6 5} & \mathbf{7 0} & \mathbf{7 5} & \mathbf{8} \\
\begin{array}{l}
\text { No. of } \\
\text { students }
\end{array} & 8 & 12 & 14 & 8
\end{array}
\]
A. 73.05
B. 72.54
c. 63.54
D. 91.09
| 2 |
Maths
|
What is global warming?
| 0 |
Biology
|
The acute angle between two lines such
that the direction cosines \( I, m, n \) of each
of them satisfy the equations \( l+m+ \)
\( \boldsymbol{n}=\mathbf{0} \) and \( l^{2}+\boldsymbol{m}^{2}-\boldsymbol{n}^{2}=\mathbf{0} \) is :
A . 30
B . 45
c. 60
D. 15
| 2 |
Maths
|
Dispersed phase and dispersion medium in butter are respectively:
A. solid and liquid
B. liquid and liquid
c. liquid and solid
D. solid and solid
| 1 |
Chemistry
|
Match the columns.
\( \mathbf{A} \)
\( a-2, b-3, c-1, d-4 \)
B. \( a-1, b-4, c-2, d-3 \)
c. \( a-3, b-1, c-4, d-2 \)
D. \( a-2, b-4, c-1, d-3 \)
| 0 |
Biology
|
On the opposite sides of a wide vertical vessel filled with water two identical
holes are opened, each having the cross-sectional area \( S=0.50 \mathrm{cm}^{2} . \) The
height difference between them is
equal to \( \Delta h=51 \mathrm{cm} . \) If the resultant
force of reaction of the water flowing out
of the vessel is \( x N, \) find the value of \( 4 x \)
| 3 |
Physics
|
The coeff. of \( 8^{t h} \) term in the expansion of
\( (1+x)^{10} \) is
A. 120
B. 7
c. \( ^{10} C_{8} \)
D. 210
| 2 |
Maths
|
The solubility in water of a sparingly soluble salt \( A B_{2} \) is \( 1.0 \times 10^{-5} \) mol \( L^{-1} \)
Its solubility product will be:
A \( \cdot 4 \times 10^{-15} \)
В. \( 4 \times 10^{-10} \)
c. \( 1 \times 10^{-15} \)
D. \( 1 \times 10^{-10} \)
| 1 |
Chemistry
|
Which of the following carries glucose from digestive tract to liver?
A. Pulmonary vein
B. Hepatic portal vein
c. Hepatic artery
D. Data insufficient
| 0 |
Biology
|
Describe anomalous behaviour of
fluorine with the other elements of
group 17 with reference to:
Hydrogen bonding.
| 1 |
Chemistry
|
Select the correct statement:
This question has multiple correct options
A. High density polythene is a linear polymer
B. Low densiy polythene is a branched chain polymer
C. Chain growth polymers are also known as addition polymer
D. Step growth polymer is also known condensation polymer
| 1 |
Chemistry
|
A quantity of \( 5 g \) of a crystalline salt when rendered anhydrous lost \( 1.8 g \) of water. The formula mass of the
anhydrous salt is \( 160 . \) The number of molecules of water of crystallization in the salt is
A . 3
B. 5
\( c \cdot 2 \)
\( D \)
| 1 |
Chemistry
|
A dihaloalkane \( ^{\prime} X^{\prime} \), having formula
\( C_{3} H_{6} C l_{2}, \) on hydrolysis gives a
compound, that can reduce Tollen's
reagent. The compound' \( X^{\prime} \) is
A. 1,2 -dichloropropane
B. 1,1-dichloropropane
c. 1,3 -dichloropropane
D. 2, 2-dichloropropane
| 1 |
Chemistry
|
\( 2850 \div ?=75 \)
A . 31
B. 34
\( c \cdot 38 \)
D. 39
| 2 |
Maths
|
The given bar graph shows the number
of matches played by different teams.
Read the bar graph and answer the
questions
How many matches did both India and
Bangladesh play?
\( A \cdot 34 \)
B . 22
\( c .38 \)
D. 40
| 2 |
Maths
|
Which of the following is the correct description of calcium oxide?
A. Very stable
B. Prepared by the process of calcination
c. Low affinity for water
D. Less efficient desiccant than silica gel
| 1 |
Chemistry
|
In which of the following reaction, Boron does not act as reducing agent?
A. \( B+C O_{2} \rightarrow \)
в. \( B+M g \rightarrow \)
c. \( B+S i O_{2} \rightarrow \)
D. \( B+H N O_{3} \rightarrow \)
| 1 |
Chemistry
|
If \( X \) follows a binomial distribution with
parameters \( n=100 \) and \( P=\frac{1}{3}, \) then
\( P(X=r) \) is maximum when \( r= \)
A . 33
B. 50
c. 25
D. none of these
| 2 |
Maths
|
The ratio of \( F e_{2} O_{3} \) and \( A l \) by weight, in thermite is about:
A . 1: 3
B. 1: 2
c. 3: 1
D. none of the above
| 1 |
Chemistry
|
A rigid body is made of three identical uniform thin rods each of length \( \boldsymbol{L} \)
fastened together in the form of letter
H. The body is free to rotate about a
fixed horizontal axis \( A B \) that passes
through one of the legs of the \( \boldsymbol{H} \). The
body is allowed to fall from rest from a
position in which the plane of \( \boldsymbol{H} \) is
horizontal. What is the angular speed of
the body, when the plane of \( \boldsymbol{H} \) is
vertical.
| 3 |
Physics
|
In the set \( Q^{+} \) of all positive rational
numbers, the operation \( * \) is defined by the formula \( a * b=\frac{a b}{6} . \) Then, the
inverse of 9 with respect to \( * \) is
A . 4
B. 3
\( c \cdot \frac{1}{9} \)
D.
| 2 |
Maths
|
If vector \( \vec{a}=a_{1} \hat{i}+a_{2} \hat{j}+a_{3} \hat{k} \) then, find
unit vector.
| 2 |
Maths
|
Short / Long answer type questions. What are (a) methanogens, (b) halophiles, and
(c) themoacidophiles?
| 0 |
Biology
|
Given below are some points, with their
co-ordinates.
\( \boldsymbol{P}(\mathbf{4}, \boldsymbol{3}), \boldsymbol{Q}(-\boldsymbol{3}, \boldsymbol{2}), \boldsymbol{R}(\mathbf{5}, \mathbf{1}), \boldsymbol{S}(\mathbf{0},-\boldsymbol{4}) \)
What is the \( y- \) coordinate of point \( R ? \)
| 2 |
Maths
|
If the inductance and capacitance are both doubled in L-C-R circuit, the resonant frequency of the circuit will:
A. Decrease to one-half of the original value
B. Decrease to one-fourth of the original value
c. Increase to twice the original value
D. Decrease to twice the original value
| 3 |
Physics
|
Two stones, having masses in the ratio of \( 3: 2, \) are dropped from the heights in the ratio of \( 4: 9 . \) The ratio of magnitudes of their linear momenta just before reaching the ground is (neglect air resistance)
A . 4:
B. 2:3
\( c \cdot 3: 2 \)
D. 1:
| 3 |
Physics
|
Which of the following represents the example of a homopolymer? This question has multiple correct options
B. Bakelite
c. Nylon - 6,6
D. Neoprene
| 1 |
Chemistry
|
A gold leaf electroscope is given a positive charge so that its leaves diverge. How is the divergence of leaves affected, when an uncharged rod is brought near its disc?
A. divergence increases
B. divergence decreases
c. divergence remains same
D. can't say
| 3 |
Physics
|
Let \( \vec{a}, \vec{b} \) and \( \vec{c} \) be non-coplanar unit vectors equally inclined to one another at an acute angle \( \theta \) then \( [\vec{a} \vec{b} \vec{c}] \) in terms of \( \theta \) is equal to :
A \( \cdot(1+\cos \theta) \sqrt{\cos 2 \theta} \)
B . \( (1+\cos \theta) \sqrt{1-2 \cos 2 \theta} \)
C \( \cdot(1-\cos \theta) \sqrt{1+2 \cos \theta} \)
D \cdot \( (1-\sin \theta) \sqrt{1+2 \cos 2 \theta} \)
| 2 |
Maths
|
The purest form of silica is:
A. quartz
B. flint
c. sand stone
D. jaspar
| 1 |
Chemistry
|
In the nuclear reaction
\( \boldsymbol{n}+_{\mathbf{9 2}}^{235} \boldsymbol{U} \rightarrow_{\mathbf{5 4}}^{\boldsymbol{a}} \boldsymbol{X} \boldsymbol{e}+_{\boldsymbol{b}}^{\mathbf{9 4}} \boldsymbol{S r}+\mathbf{2 n} \)
determine the values of a and \( b \)
| 3 |
Physics
|
\( \int \frac{d x}{\sqrt{2 a x^{3}}} \)
| 2 |
Maths
|
A complex number is represented by an ordered pair \( (a, b), \) which of the following is true for \( a \) and \( b ? \)
A. \( a \) and \( b \) both are imaginary numbers
B. \( a \) and \( b \) both are real numbers
c. \( a \) is real and \( b \) is an imaginary number.
D. None of these
| 2 |
Maths
|
The magnitude of a physical quantity consists of
A. a number and a unit
B. a number
c. a unit
D. a unit and its symbol
| 3 |
Physics
|
Voice of which of the following creatures is likely to have maximum frequency?
A. Man
B. cow
c. Bird
\( D \cdot \operatorname{Dog} \)
| 3 |
Physics
|
The diagram of a logic circuit is given below, the output of the circuit is
represented by
\( A \cdot W+(X+Y) \)
B. \( w+(x . y) \)
\( c . w .(x+y) \)
D. w. (x.y)
| 3 |
Physics
|
Which kind of isomerism is exhibited
by octahedral \( \left[\boldsymbol{C o}\left(\boldsymbol{N} \boldsymbol{H}_{3}\right)_{4} \boldsymbol{B r}_{2}\right] \boldsymbol{C l} ? \)
A. Geometrical and ionization
B. Geometrical and optical
c. optical and ionization
D. Geometrical only
| 1 |
Chemistry
|
The points \( A \) and \( B \) have co-ordinate (1,2,4) and (-1,3,5) respectively. Find \( A B \) and its magnitude.
| 2 |
Maths
|
\( f\left(\frac{x-1}{x-2}\right)+\tan ^{-1}\left(\frac{x+1}{x+2}\right)=\frac{\pi}{4} \)
then find the value of \( x \)
| 2 |
Maths
|
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