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If \( z \neq 1 \) and \( \frac{z^{2}}{z-1} \) is real, then the
point represented by the complex
number z lies:
A. either on the real axis or on a circle passing through the origin.
B. on a circle with centre at the origin
c. either on the real axis or on a circle not passing through the origin.
D. on the imaginary axis
| 2 |
Maths
|
In a cylinder of cooling gas \( 11.2 \mathrm{kg} \) butane is filled. If \( 1500 \mathrm{KJ} \) energy is required for cooking food daily then
calculate that for how many days this cylinder is sufficient for fuel; whereas enthalpy of combustion of butane is \( 2658 k J m o l^{-1} \)
| 1 |
Chemistry
|
How many calories of heat are required by gram of water at \( 99^{\circ} \mathrm{C} \) to boil off:
A. 530
B. 640
\( c \cdot 540 \)
D. 500
| 3 |
Physics
|
An organic compound \( \boldsymbol{A}\left(\boldsymbol{C}_{\mathbf{9}} \boldsymbol{H}_{8} \boldsymbol{O}_{3}\right) \) does
not react with an aqueous solution of
\( N a H C O_{3} \) and does not change the
color of litmus paper. A on acid
hydrolysis gives \( B\left(C_{9} H_{8} O_{4}\right) \) whereas \( A \) on treatment with methanol in acid
medium gives \( C\left(C_{10} H_{14} O_{4}\right) \) as the major alcoholysis product. B on heating with excess of soda-lime produces toluene. Deduce structures of \( A \) to \( C \)
| 1 |
Chemistry
|
Which number should come in place of
\( \frac{\mathbf{0}}{\mathbf{7}}+\frac{\mathbf{2}}{\mathbf{7}}+\frac{\square}{\mathbf{7}}=\mathbf{1} \frac{\mathbf{3}}{\mathbf{7}} \)
\( \mathbf{A} \cdot \mathbf{1} \)
B . 2
\( c .3 \)
D. 7
| 2 |
Maths
|
A fixed volume of iron is drawn into a wire of length \( l \). The extension produced
in this wire by a constant force \( \boldsymbol{F} \) is
proportional to :
A \( \cdot \frac{1}{l^{2}} \)
B. \( \frac{1}{l} \)
\( c \cdot l^{2} \)
D. \( l \)
| 3 |
Physics
|
Choose the correct answers from the
alternatives given Pseudopodia in Amoeba are important
for:
A. locomotion only
B. feeding only
c. both locomotion and feeding
D. none of these
| 0 |
Biology
|
Infrared radiation are detected by
A. spectrometer
B. pyrometer
c. nanometer
D. photometre
| 3 |
Physics
|
The mass of the jupiter is \( 1.9 \times 10^{2} \mathrm{kg} \)
and that of sun is \( 1.99 \times 10^{30} \) kg. The
mean distance of jupiter from the sun is \( 7.8 \times 10^{11} \mathrm{m} . \) Speed of jupiter is
(assuming that jupiter moves in circular orbit around the sun)
| 3 |
Physics
|
Assertion : In damped oscillations, the energy of the system is dissipated continuously. Reason: For the small damping, the oscillations remain approximately periodic.
A. If both assertion and reason are true and reason is the correct explanation of assertion.
B. If both assertion and reason are true and reason is not the correct explanation of assertion.
c. If assertion is true but reason is false
D. If both assertion and reason are false
| 3 |
Physics
|
What is complementary base pairing?
| 0 |
Biology
|
Eye teeth are
A. Upper incisors
B. Lower incisors
C. Lower canines
D. Upper canines
| 0 |
Biology
|
Show that the mid-point of the line segment joining the points (5,7) and (3,9) is also the mid-point of the line segment joining the points (8,6) and (0,10)
| 2 |
Maths
|
In which of the following species, each atom carries same number of lone pair
electrons on it?
A \( \cdot X e O_{4}^{2} \)
в. \( X e F_{2} \)
c. \( X e O_{6}^{4} \)
D. \( O_{3} \)
| 1 |
Chemistry
|
A hemispherical tank is made up of an iron sheet of thickness \( 1 \mathrm{cm} \). If the inner
radius is \( 1 m, \) then find the volume of
the iron used to make the tank.
| 2 |
Maths
|
The correct order of increasing atomic
size of element \( N, F, S i \& P \) is:
\( \mathbf{A} \cdot N<F<S i<P \)
B \( . F<N<P<S i \)
\( \mathbf{c} \cdot F<N<S i<P \)
D. \( N<S i<F<P \)
| 1 |
Chemistry
|
The oxidation number of \( F e \) in
Magnetite \( \left(\boldsymbol{F e}_{3} \boldsymbol{O}_{4}\right) \) is:
| 1 |
Chemistry
|
For a circuit, \( L, C \) and \( R \) represent the
inductance, capacitance and resistance. Then, the dimensional
formula for \( C^{2} L R \) is
\( \mathbf{A} \cdot[M L T] \)
B . \( \left[M^{0} L^{0} T I^{0}\right] \)
c. \( \left[M^{2} L^{2} T^{0} I^{0}\right. \)
D \cdot \( \left[M^{0} L^{0} T^{3} I^{0}\right] \)
| 3 |
Physics
|
Read the assertion and reason carefully
and answer the question on the basis of the following options. You have to select
the one that best describes the two
statements.
Assertion: Potassium and caesium are
used in photoelectric cells. Reason: Potassium and caesium emit
electrons on exposure to light.
A. If both assertion and reason are true and the reason is correct explanation of the assertion
B. If both assertion and reason are true but reason is not a correct explanation of the assertion
c. If the assertion is true but reason is false
D. If both the assertion and reason are false
E. If the assertion is false but the reason is true
| 1 |
Chemistry
|
Assertion
STATEMENT-1:
\( \int \frac{\left\{\boldsymbol{f}(\boldsymbol{x}) \boldsymbol{\phi}^{\prime}(\boldsymbol{x})-\boldsymbol{f}^{\prime}(\boldsymbol{x}) \phi(\boldsymbol{x})\right\}}{\boldsymbol{f}(\boldsymbol{x}) \phi(\boldsymbol{x})}\{\log \phi(\boldsymbol{x}) \)
\( \frac{1}{2}\left\{\log \frac{\phi(x)}{f(x)}\right\}^{2}+c \)
Reason STATEMENT-2 : \( \int(\boldsymbol{h}(\boldsymbol{x}))^{\boldsymbol{n}} \boldsymbol{h}^{\prime}(\boldsymbol{x}) \boldsymbol{d} \boldsymbol{x}= \)
\( \frac{(h(x))^{n+1}}{n+1}+c \)
A. STATEMENT-1 is True, STATEMENT-2 is True:
STATEMENT-2 is a correct explanation for STATEMENT
B. STATEMENT-1 is True, STATEMENT-2 is True STATEMENT-2 is NOT a correct explanation for STATEMENT-
c. STATEMENT-1 is True, STATEMENT-2 is False
D. STATEMENT-1 is False, STATEMENT-2 is True
| 2 |
Maths
|
Exprience that a aquired traits during lifetime are not passed to the next generation justify?
| 0 |
Biology
|
i) A circle can have \( _{--} \) -parallel tangents.
ii) The point common to the tangent and the circle is called
| 2 |
Maths
|
A purse contains four coins each of
which is either a rupee or two rupees coin. Find the expected value of a coin in
that purse.
| 2 |
Maths
|
Choose the correct statement from the
following. A good fuel is one which:
This question has multiple correct options
A. is readily available
B. produces a large amount of heat
c. leaves behind many undesirable substances
D. burns easily in air at a moderate rate
| 1 |
Chemistry
|
Fill in the blanks with the correct choice.
The undesired impurities present in the
the volatile impurities from the ore, the
(ii) process is carried out. Flux combines with non-fusible impurities to form
(iii) \( C a O \) acts as a
(iv) flux.
A. (i) - gangue,
(iii) - slag, (iv) -acidic
(ii) -roasting,
(ii) - calcination, (iii) - slag, (iv) - basic
B. (i) - gangue,
c. (i) - anode mud,
(ii) - - leaching,
(iii) - matrix, (iv) -acidic
D. (i) - gangue,
(ii) -roasting, (iii) - solution, (iv) -acidic
| 1 |
Chemistry
|
A particle is projected with an angle of
projection \( \theta \) to the horizontal line
passing through the points \( (P, Q) \) and
\( Q, P) \) referred to horizontal and vertical
axes (can be treated as x-axis and y-
axis respectively).
The angle of projection can be given by
\( ^{\mathbf{A}} \cdot \tan ^{-1}\left[\frac{P^{2}+P Q+Q^{2}}{P Q}\right] \)
B. \( \tan ^{-1}\left[\frac{P^{2}+Q^{2}-P Q}{P Q}\right] \)
\( ^{\mathbf{c}} \tan ^{-1}\left[\frac{P^{2}+Q^{2}}{2 P Q}\right] \)
D. \( \tan ^{-1}\left[\frac{P^{2}+Q^{2}+P Q}{2 P Q}\right] \)
| 3 |
Physics
|
Kirchhoff's second law is based on the
law of conservation of
A. charge
B. energy
c. momentum
D. sum of mass and energy
| 3 |
Physics
|
One angle of linear pair is a right angle, then find the measure of another angle.
| 2 |
Maths
|
The roots of the equation \( a x^{2}+b x+ \)
\( c=0 \) will be in reciprocal if
\( \mathbf{A} \cdot a=b \)
B . \( a=b c \)
\( \mathbf{c} \cdot c=a \)
D. \( c=b \)
| 2 |
Maths
|
In which of the following parts of the alimentary canal does absorption of nutrients and drugs takes place?
A. Mouth
B. Stomach
c. Small intestine
D. All of the above
| 0 |
Biology
|
A stationary wheel starts rotating about its own axis with an angular acceleration of 5.5 rad \( / s^{2} . \) To acquire an angular velocity 420 revolutions per minute, the number of rotations made
by the wheel is:
A . 14
B . 21
\( c \cdot 28 \)
D. 35
| 3 |
Physics
|
A particle of mass \( m_{1} \) moving with a velocity of \( 5 m / s \) collides head on with a
stationary particle of mass \( m_{2} . \) After collision both the particle move with a
common velocity of \( 4 m / s, \) then the
value \( \boldsymbol{m}_{1} / \boldsymbol{m}_{2} \) is:
A .4:
B. 2:
\( c \cdot 1: 8 \)
D. 1:
| 3 |
Physics
|
Which of the following aromatic compound is least reactive towards
electrophilic substitutions?
\( A \)
в.
\( c \)
D.
| 1 |
Chemistry
|
When a comb rubbed with dry hair
attracts pieces of paper. This is
because the
A. comb polarizes the piece of paper
B. comb induces a net dipole moment opposite to the direction of field
c. electric field due to the comb is uniform
D. comb induces a net dipole moment perpendicular to the direction of field
E. paper acquires a net charge
| 3 |
Physics
|
When a lead storage battery is discharged:
A. lead sulphate is consumed
B. oxygen gas is evolved
c. lead sulphate is formed
D. lead sulphide is formed
| 1 |
Chemistry
|
What is sludge? Explain how it is
treated.
| 0 |
Biology
|
If the the hyperbola \( \frac{x^{2}}{4}-\frac{y^{2}}{b^{2}}=1 \)
passses though (4,3)
\( \mathbf{A} \cdot b^{2}=3 \)
B. \( b^{2}=9 \)
\( \mathbf{c} \cdot b^{2}=4 \)
D. \( b^{2}=100 \)
| 2 |
Maths
|
Absolute refractive index of a material
depends upon:
This question has multiple correct options
A. Frequency of incident light
B. Size of material
c. Density and temperature of material
D. wavelength of incident light
| 3 |
Physics
|
Which of the following is an electrica insulator?
A. Rubber
B. Silver
c. Iron
D. Gold
| 3 |
Physics
|
Calculate the numbers of times \( \boldsymbol{f}(|\boldsymbol{x}|) \) \( \operatorname{crosses} \boldsymbol{x}-\boldsymbol{a x i s} \) where \( \boldsymbol{f}(\boldsymbol{x})=\boldsymbol{x}^{2}-1 \)
\( A \cdot 2 \)
B.
\( c .3 \)
D. None of these
| 2 |
Maths
|
Which of the following reagents is used for the separation of acetaldehyde from acetophenone?
A. \( N H_{2} O H \)
в. \( N a O H I_{2} \)
c. \( _{N a H S O_{3}} \)
D. \( C_{6} H_{5} N H N H_{2} \)
| 1 |
Chemistry
|
Sir C.V.Raman got Nobel Prize in physics
for the
A. refraction of light
B. reflection of light
c. scattering of light
D. dispersion of light
| 3 |
Physics
|
Integrate the rational function
\( \frac{\boldsymbol{x}}{\left(\boldsymbol{x}^{2}+\mathbf{1}\right)(\boldsymbol{x}-\mathbf{1})} \)
| 2 |
Maths
|
Mention the hybridised state of carbonyl
carbon atom.
| 1 |
Chemistry
|
The sum of first \( n \) terms of an AP is
given by \( S_{n}=5 n^{2}+3 n, \) then find its
nth term.
| 2 |
Maths
|
Among the following molecules/ions, \( C_{2}^{2-}, N_{2}^{2-}, O_{2}^{2-}, O_{2} \)
which one is diamagnetic and has the shortest bond length?
A \( \cdot C_{2}^{2} \)
B . \( N_{2}^{2} \)
\( c \cdot O_{2} \)
D. \( O_{2}^{2} \)
| 1 |
Chemistry
|
The polymerisation of propene to linear polypropene is represented by the reaction
where \( n \) ahs large integral value, the average enthalpies of bond dissociation for \( (C==C) \) and \( (C--C) \) at \( 298 k \)
are +590 and \( +331 k J m o l^{-1} \)
respectively. The enthalpy of polymerisation is \( -360 k J m o l^{-1} \). Find
the value of \( n \)
\[
n\left(\begin{array}{l}
\mathrm{CH}_{3} \\
\mathrm{CH}=\mathrm{CH}_{2}
\end{array}\right) \longrightarrow-\left(\begin{array}{l}
\mathrm{CH}_{3} \\
1 \\
\mathrm{CH}--\mathrm{CH}_{2}-
\end{array}\right)_{n}
\]
A \( . n=5 \)
в. \( n=2 \)
\( c \cdot n=7 \)
D. None of these
| 1 |
Chemistry
|
A vector of length \( l \) is turned through
the angle \( \theta \) about its tail. What is the
change in the position vector of its head-
A. \( l \cos (\theta / 2) \)
B. \( 2 l \sin (\theta / 2) \)
c. \( 2 l \cos (\theta / 2) \)
D. \( l \sin (\theta / 2) \)
| 2 |
Maths
|
If cost price of an article is Rs. 10 and its selling price is Rs. \( 15 /- \) then profit \( \% \) is
A. 5
B. 10
\( c \cdot 20 \)
D. 50
| 2 |
Maths
|
Naman purchased an old bike for Rs.
20000. If the cost of his bike is
depreciated at a rate of \( 5 \% \) per annum, then find the cost of the bike after 2
years?
A. Rs. 18050
B. Rs. 15000
c. Rs. 1900
D. Rs. 18000
| 2 |
Maths
|
Find the distance between (345) plane is a cubic batteries of length \( 7-7 A \)
| 1 |
Chemistry
|
Two wires of the same material but of
different diameters carry the same current I. If the ratio of their diameters
is \( 2: 1, \) then the corresponding ratio of their mean drift velocities will be
\( A \cdot 4: \)
B. 1: 1
\( c \cdot 1: 2 \)
\( D \cdot 1: 4 \)
| 3 |
Physics
|
Mark the incorrect statement.
A. The building blocks of lipids are amino acids.
B. Majority of enzymes contain a non-protein part called the prosthetic group.
C. The thylakoids are arranged one above the other like a stack of coins forming a granum.
D. Crossing-over occurs at pachytene stage of meiosis I.
E. Steroids are complex compounds commonly found in cell membranes and animal hormones.
| 0 |
Biology
|
If one mole electrons is passed through
the solutions of \( A l C l_{3}, A g N O_{3} \) and
\( M g S O_{4}, \) in what ratio \( A l, A g \) and \( M g \) will be deposited at the electrodes?
A .3: 6: 2
B . 2: 6: 3
\( \mathrm{c} \cdot 1: 2: 3 \)
D. 3: 2: 1
| 1 |
Chemistry
|
How long would it take a radio-wave of frequency, \( 6 \times 10^{3} \) sec \( ^{-1} \) to travel from
Mars to the Earth, a distance of \( 8 \times \) \( 10^{7} k m \)
| 1 |
Chemistry
|
A current I ampere flows along an infinitely long straight thin walled hollow metallic cylinder of radius \( r . \) The magnetic field at any point inside the cylinder at a distance \( x \) from the axis of the cylinders is:
A \( \cdot \frac{\mu_{0} I}{4 \pi r} \)
В. \( \frac{\mu_{0} I}{2 \pi r} \)
c. \( \frac{\mu_{0} I}{2 \pi x} \)
D. zero
| 3 |
Physics
|
Which of the following is the correct representation of organisation levels in living beings?
A. Subcellular \( \rightarrow \) Cellular \( \rightarrow \) Individual \( \rightarrow \) Community Population
B. Atomic \( \rightarrow \) Molecular \( \rightarrow \) Subcellular \( \rightarrow \) Cellular \( \rightarrow \) Tissue \( \rightarrow \) Organ system \( \rightarrow \) Individual
c. Individual \( \rightarrow \) Population \( \rightarrow \) organ system \( \rightarrow \) Tissue \( \rightarrow \) Cellular \( \rightarrow \) Molecular \( \rightarrow \) Atomic
D. Atomic \( \rightarrow \) Molecular \( \rightarrow \) Tissue \( \rightarrow \) Individual \( \rightarrow \) Ecosystem \( \rightarrow \) Community
| 0 |
Biology
|
Calculate the dissociation constant of
water at \( 25^{\circ} \mathrm{C} \) from the following data.
Specific conductance of \( \boldsymbol{H}_{2} \boldsymbol{O}=\mathbf{5} . \boldsymbol{8} \times \)
\( 10^{-8} m h o c m^{-1},: \lambda_{H^{+}}^{\infty}=350.0 \) and
\( \lambda_{O H^{-}}^{\infty}=198.0 m h o c m^{2} \)
The ans is \( k \times 10^{-16} \) mole/litre. find \( k \)
A . 1.8
в. 100
\( c . \)
D. 0.01
| 1 |
Chemistry
|
Cytosis is absent in
A. Diatoms
B. Eubacteria
c. Algae
D. Plantae.
| 0 |
Biology
|
Which of the following is a redox
reaction?
\( \mathbf{A} \cdot N a C l+K N O_{3} \rightarrow N a N O_{3}+K C l \)
B \( \cdot C a C_{2} O_{4}+2 H C l \rightarrow C a C l_{2}+H_{2} C_{2} O_{4} \)
\( \mathbf{c} \cdot M g(O H)_{2}+2 N H_{4} C l \rightarrow M g C l_{2}+2 N H_{4} O H \)
\( \mathbf{D} \cdot Z n+2 A g C N \rightarrow 2 A g+Z n(C N)_{2} \)
| 1 |
Chemistry
|
Draw an angle and label it as \( \angle B A C \)
Construct another angle, equal to \( \angle B A C \)
| 2 |
Maths
|
\( " C C l_{4} \) is kinetically stable towards
hydrolysis." Answer whether the above statement is
true or false.
If true enter 1 , else 0
| 1 |
Chemistry
|
Find the surface area of a sphere of radius \( 1.4 \mathrm{cm} .\left(\pi=\frac{22}{7}\right) \)
| 2 |
Maths
|
\( \boldsymbol{H}_{2}(\boldsymbol{g})+\boldsymbol{C l}_{2}(\boldsymbol{g})=\boldsymbol{2} \boldsymbol{H} \boldsymbol{C l}(\boldsymbol{g}) \)
\( \Delta H(298 K)=-22.06 \mathrm{kcal} . \) For this
reaction, \( \Delta U \) is equal to:
A \( .-22.06+2 \times 10^{-3} \times 298 \times 2 \mathrm{kcal} \)
В. \( -22.06+2 \times 298 \) kcal
c. \( -22.06-2 \times 298 \times 4 \) kcal
D. -22.06 kcal
| 1 |
Chemistry
|
Select the renewable and non-renewable
sources of energy from the following:
(a) Coal
(b) Wood
(c) Water
(d) Diesel
(e) Wind
(f) Oil
A. Renewable-(a), (d) and (f) and Non-renewable-(b), (c) and (e)
B. Renewable-(b),(c) and
(e) and Non-renewable-(a), (d) and (f)
c. Renewable-(a),
(c) and (e) and Non-renewable-(b), (d) and (f)
D. Renewable-(b),(d) and (e) and Non-renewable-(a), (c) and (f)
| 3 |
Physics
|
A point charge \( q \) is at centre of an
unchanged spherical conducting shell
of inner radius \( a \) and outer radius \( b \)
Work needed to move the charge out to
infinity will be
\( ^{\mathbf{A}} \cdot \frac{q^{2}}{4 \pi \varepsilon_{0}}\left(\frac{1}{a}-\frac{1}{b}\right) \)
B. \( \frac{1}{8 \pi \epsilon_{0}} \frac{q^{2}}{a} \)
\( ^{\mathbf{c}} \cdot \frac{q^{2}}{8 \pi \epsilon_{0}}\left[\frac{1}{b}-\frac{1}{a}\right] \)
\( ^{\mathrm{D}} \cdot \frac{q^{2}}{8 \pi \epsilon_{0}}\left[\frac{1}{a}-\frac{1}{b}\right] \)
| 3 |
Physics
|
Botanical name of peat moss is
A. Sphagnum
B. Funaria
c. Anthoceros
D. Polytrichum
| 0 |
Biology
|
Find the number of ways in which 5 boys and 5 girls be seated in a row so that no two girls may sit together.
| 2 |
Maths
|
Two wires are made of the same
material and have the same volume.
However wire 1 has cross-sectional area
\( A \) and wire 2 has cross- sectional area
3 A. If the length of wire 1 increases by \( \Delta x \) on applying force \( F, \) how much force is needed to stretch wire 2 by the same
amount ?
A.
B. 4 F
\( c .6 \mathrm{F} \)
D. 9 F
| 3 |
Physics
|
Consider the following reactions:
\( C(s)+O_{2}(g) \rightarrow C O_{2}(g)+x k J \)
\( C O(g)+\frac{1}{2} O_{2}(g) \rightarrow C O_{2}(g)+y k J \)
The heat of formation of \( \mathrm{CO}(\mathrm{g}) \) is :
\( A \cdot-(x+y) k J / m o l \)
B. \( (x-y) \) kJ/mol
c. \( (y-x) \) k) \( \int m o \)
D. None of these
| 1 |
Chemistry
|
If a function satisfies \( (\boldsymbol{x}-\boldsymbol{y}) \boldsymbol{f}(\boldsymbol{x}+ \)
\( \boldsymbol{y})-(\boldsymbol{x}+\boldsymbol{y}) \boldsymbol{f}(\boldsymbol{x}-\boldsymbol{y})=\boldsymbol{2}\left(\boldsymbol{x}^{2} \boldsymbol{y}-\right. \)
\( \left.\boldsymbol{y}^{3}\right), \forall \boldsymbol{x}, \boldsymbol{y} \in \boldsymbol{R} \) and \( \boldsymbol{f}(1)=2, \) then
This question has multiple correct options
A. \( f(x) \) must be polynomial function
В. \( f(3)=12 \)
c. \( f(0)=0 \)
D. \( f(x) \) may not be differentiable
| 2 |
Maths
|
Q Type your question
blood. Study the same and answer the
following questions
(i) Name the blood vessels labelled 1
and 2
(ii) State the function of blood vessels
labelled 5 and 8
(iii) What is the importance of the blood
vessel labelled 6?
(iv) Which blood vessel will contain a
high amount of glucose after a meal?
(v) Draw a diagram of the different
blood cells as seen in an amino acids
smear of human blood.
| 0 |
Biology
|
Can not be broken down chemically.
A. Anions
B. Cations
c. Element
D. Isotope
E. Atom
| 1 |
Chemistry
|
Q Type your question
on point \( P \) as shown in the diagram
below. All point charges are of the same
magnitude.
Which table gives the best description
of the electric field at point \( P \) and the
electric potential at point P?
A . Electric Field at \( \mathrm{P} \) - Electric Potential at \( \mathrm{P} \), Zero - Zero
B. Electric Field at \( P \) - Electric Potential at \( P \), downward -
downward
C. Electric Field at \( P \) - Electric Potential at P, upward positive
D. Electric Field at \( P \) - Electric Potential at \( P \), downward
Zero
\( \mathrm{E} \), ic Field at \( \mathrm{P} \) - Electric Potential at \( \mathrm{P} \), upward -
| 3 |
Physics
|
Find \( : \lim _{x \rightarrow a} \sqrt{x} \)
| 2 |
Maths
|
Who is regarded chief of solar system?
A. Sun
B. Moon
c. Earth
D. sky
| 3 |
Physics
|
If a point \( P \) in the space such that \( \overline{O P} \)
is inclined to \( O X \) at 45 and \( O Z \) to 60
then \( \overline{O P} \) inclined to \( O Y \) is
A \( .75^{\circ} \)
B . \( 75^{\circ} \) or \( 105^{\circ} \)
C. \( 60^{\circ} \) or \( 120^{\circ} \)
D. None of these
| 2 |
Maths
|
Solar water-heater works on renewable
energy system. Is it true or false?
| 1 |
Chemistry
|
The standard molar heat of formation
of ethane, \( C O_{2} \) and water are
respectively -21.1,-94.1 and -68.3 kcal. The standard molar heat of
combustion of ethane will be :
\( \mathbf{A} \cdot-372 \) kcal
B . 162 kcal
c. -240 kcal
D. 183.5 kcal
| 1 |
Chemistry
|
A particle moves according to the equation \( t=\sqrt{x}+3 . \) When the particle
comes to rest for the first time?
A . \( 3 s \)
в. 2.5 \( s \)
\( \mathrm{c} .3 .5 \mathrm{s} \)
D. None of these
| 3 |
Physics
|
With the help of a diagram, show how you can use several NAND gates to
obtain an OR gate.
| 3 |
Physics
|
An object is placed at a distance of \( 12 \mathrm{cm} \) in front of a concave mirror, it forms a
real and inverted image. Where is the
image formed if image height is double the object?
| 3 |
Physics
|
The half-life of that radioactive
substance, which reduces to \( 1 / 64 \) of its initial value in 15 hours, will be
A. 5 hours
B. 2 hours
c. 2.5 hours
D. 4 hours
| 3 |
Physics
|
Which of these will produce the highest yield in Friedel Crafts reaction?
\( A \)
в.
c.
D.
| 1 |
Chemistry
|
Evaluate the following integral:
\( \int \frac{1}{2 x^{2}-x-1} d x \)
| 2 |
Maths
|
\( V^{3+} \) is coloured
If the given statement is true enter 1
else enter 0
| 1 |
Chemistry
|
\( \lim _{x \rightarrow 0} \frac{\sin \left(\pi \cos ^{2} \pi\right)}{x^{2}} \) is equal to
\( ^{A} \cdot \frac{\pi}{2} \)
B.
\( c .-\pi \)
\( D \)
| 2 |
Maths
|
This graph is for
A. Ohmic conductor
B. Non-ohmic conductor
C . Electrolytes
D. Diodes
| 3 |
Physics
|
Let \( l_{1} \) and \( l_{2} \) be the moment of inertia of
a uniform square plate about axes APC
and OPO' respectively as shown in the figure. \( P \) is centre of square. The ratio \( \frac{I_{1}}{I_{2}} \) of moment of inertia is :
A \( \cdot \frac{1}{\sqrt{2}} \)
B. 2
\( c \cdot \frac{1}{2} \)
D.
| 3 |
Physics
|
What is the mangitude of a point
charge chosen so that electric field 50 \( \mathrm{cm} \) away has magnitude \( 2.0 \mathrm{N} / \mathrm{C} \) ?
| 3 |
Physics
|
Quick lime is:
A. \( C a\left(H C O_{3}\right)_{2} \)
в. \( C a C O_{3} \)
\( \mathbf{c} \cdot \operatorname{Ca}(O H)_{2} \)
D. \( C a O \)
| 1 |
Chemistry
|
If the flux of the electric field through a closed surface is zero,
This question has multiple correct options
A. the electric field must be zero everywhere on the surface
B. the electric field may be zero everywhere on the surface
c. the charge inside the surface must be zero
D. the charge in the vicinity of the surface must be zerç
| 3 |
Physics
|
The number of angular and radial nodes
of \( 4 d \) orbital respectively are:
A .3,1
B. 1,2
\( c .3,0 \)
D. 2,
| 1 |
Chemistry
|
Which of the following bonds has the highest energy?
A. Se-Se
в. Te-Te
c. s-s
D. 0-0
| 1 |
Chemistry
|
A conic \( C \) satisfies the differential
equation \( \left(1+y^{2}\right) d x-x y d y=0 \) and
passes through the point (1,0) An ellipse \( \boldsymbol{E} \) which is confocal with \( \boldsymbol{C} \) having its eccentricity equal to \( \sqrt{2 / 3} \)
(a) Find the length of the latus rectum
of the conic \( C \)
(b) Find the equation of the ellipse \( \boldsymbol{E} \)
(c) Find the locus of the point of intersection of the perpendicular
tangents to the ellipse \( \boldsymbol{E} \)
| 2 |
Maths
|
The standard absolute entropy of a substance, \( \left(S^{\ominus}\right) \) is the entropy of the substance in its standard state at 1
atm, temperature being (in K)
| 1 |
Chemistry
|
The solution of \( \frac{\boldsymbol{d} \boldsymbol{y}}{\boldsymbol{d} \boldsymbol{x}}=\frac{\boldsymbol{y}}{\boldsymbol{x}}+\sin \left(\frac{\boldsymbol{y}}{\boldsymbol{x}}\right) \) is
| 2 |
Maths
|
Various processes involved on the
extraction of metals from their ores and
refining are known as:
A. concentration of ore
B. enrichment of ore
c. refining of ore
D. metallurgy
| 1 |
Chemistry
|
In autogenic succession
A. Early and continued dominance of autotrophic organism takes place like green plants.
B. Replacement of existing communities cause largely by any other extremal condition.
C. Early dominance of heterotrophs takes place such as bacteria, fungi and other animals
D. Community itself modifies its own environment thus, causing its own replacement by new communities.
E. Starts with previously built up substrata with already existing matter.
| 0 |
Biology
|
Sodium salt \( (A) \) of a dibasic acid \( \stackrel{H C l}{ } \)
gas\( (B) \) and clear solution
Gas \( (B) \) turns lime water milky. Identify
\( (A) \)
A. Sodium carbonate
B. Sodium sulphate
c. Sodium oxalate
D. Sodium nitride
| 1 |
Chemistry
|
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