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If the radius of a nucleus \( ^{256} X \) is 8
fermi, then the radius of \( ^{4} \) He nucleus
will be:
A. 16 fermi
B. 2 fermi
c. 32 fermi
D. 4 fermi
| 3 |
Physics
|
Sodium extract gives blood red colour
when treated with \( F e C l_{3} \). Formation of
blood red colour confirms the presence
of:
A. only nitrogen
B. only sulphur
c. only halogens
D. both nitrogen and sulphur
| 1 |
Chemistry
|
Which of the following division of kingdom plantae and sub-kingdom cryptogamae can reproduce sexually by formation of gametes.
A. Thallophyta
B. Bryophyta
c. Pteridophyta
D. All of above
| 0 |
Biology
|
Place value of 9 in 7,92,83,456
\( \mathbf{A} \cdot 9,000 \)
B. 9
c. 90,00,000
D. 90,000
| 2 |
Maths
|
Introduction of inert gas at constant
volume to a gaseous reaction at equilibrium, results in formation of :
A. same amount of product
B. more quantity of product
c. less quantity of product
D. no product
| 1 |
Chemistry
|
At high altitudes, the boiling of water
takes place below \( 100^{\circ} \mathrm{C} \) because :
A. the atmospheric pressure is low
B. the temperature is low
c. the atmospheric pressure is high
D. none of the above
| 1 |
Chemistry
|
Find the value of \( \boldsymbol{m}, \) if \( \boldsymbol{x}=\boldsymbol{2}, \boldsymbol{y}=\mathbf{1} \) is a
solution of the equation \( 2 x+3 y=m \)
| 2 |
Maths
|
Match the following.
\( \begin{array}{ll}\text { Column I } & \text { Column II } \\ \begin{array}{l}\text { I. Sandy } \\ \text { soil }\end{array} & \text { A. } 85 \% \text { sand }+15 \% \text { clay or silt } \\ \begin{array}{l}\text { II. Loam } \\ \text { soil }\end{array} & \text { B. } 70 \% \text { sand }+30 \% \text { clay or silt } \\ \text { III. Silt } & \begin{array}{l}\text { C. } 50 \% \text { sand }+50 \% \text { clay or silt or } \\ \text { both }\end{array}\end{array} \)
\( \mathbf{A} \)
I-A, II-D, |II-C
B. ।- \( A,\|-B,\| I-D \)
C . \( \mid-A, \) II- \( D, \| I-B \)
D. I- A, II-B, III- C
\( E \cdot|-A,| I-C,|I|-D \)
| 0 |
Biology
|
Prove that the intercept of a tangent between two parallel tangents to a circle subtends a right angle at a
center.
| 2 |
Maths
|
ff \( p(x) \) be a polynomial satisfying the
identity \( p\left(x^{2}\right)+2 x^{2}+10 x=2 x p(x+ \)
1) \( +3, \) then function \( p(x) \) is
A. One-one
B. Many-one
c. Periodic
D. Even
| 2 |
Maths
|
If the radius of moon is \( 1.7 \times 10^{6} m \) and
its mass is \( 7.34 \times 10^{22} \) kg. Then its
escape velocity is
A \( \cdot 2.4 \times 10^{3} \mathrm{ms}^{-1} \)
В. \( 2.4 \times 10^{2} \mathrm{ms}^{-1} \)
c. \( 3.4 \times 10^{3} \mathrm{ms}^{-1} \)
D. \( 3.4 \times 10^{2} \mathrm{ms}^{-1} \)
| 3 |
Physics
|
If \( \frac{(x+1)^{2}}{x\left(x^{2}+1\right)}=\frac{A}{x}+\frac{B x+C}{x^{2}+1}, \) then
\( \cos ^{-1}\left(\frac{A}{C}\right)= \)
A. \( \frac{\pi}{6} \)
в.
c.
D.
| 2 |
Maths
|
Show that kinetic energy is always lost
in inelastic collision.
| 3 |
Physics
|
Diarrhoea is the \( _{--}-_{-}-_{-} \) leading cause of death in children under five
years old.
A. 2nd
B. 3rd
c. 4 th
D. sth
| 0 |
Biology
|
Nuclear attraction is often the deciding control factor for the association of
natural molecules to
a given metal ion. Which one of the
following represents the correct order of stability of the ions? \( \left[\boldsymbol{B e}\left(\boldsymbol{H}_{2} \boldsymbol{O}\right)_{4}\right]^{2+},\left[\boldsymbol{M} \boldsymbol{g}\left(\boldsymbol{H}_{2} \boldsymbol{O}\right)_{4}\right]^{2+}, \boldsymbol{C} \boldsymbol{a}\left(\boldsymbol{H}_{2} \boldsymbol{C}\right. \)
\( \left.\left.\mathbf{A} \cdot\left[B e\left(H_{2} O\right)_{4}\right]^{2+}>S r\left(H_{2} O\right)_{4}\right]^{2+}\right]>\left[M g\left(H_{2} O\right)_{4}\right]^{2+}> \)
\( \left[C a\left(H_{2} O\right)^{4}\right]^{2+} \)
B . \( \left[C a\left(H_{2} O\right)_{4}\right]^{2+}>\left[M g\left(H_{2} O\right)_{4}\right]^{2+}>\left[B e\left(H_{2} O\right)_{4}\right]^{2+}> \)
\( \left.\operatorname{Sr}\left(H_{2} O\right)_{4}\right]^{2+} \)
C \( \cdot\left[\operatorname{Sr}\left(H_{2} O\right)_{4}\right]^{2+}>\left[C a\left(H_{2} O\right)_{4}\right]^{2+}>\left[M g\left(H_{2} O\right)_{4}\right]^{2+}> \)
\( \left[\operatorname{Be}\left(H_{2} O\right)_{4}\right]^{2+} \)
D. \( \left[B e\left(H_{2} O\right)_{4}\right]^{2+}>\left[M g\left(H_{2} O\right)_{4}\right]^{2}>\left[C a\left(H_{2} O\right)_{4}\right]^{2+}> \)
\( \left.\operatorname{Sr}\left(H_{2} O\right)_{4}\right]^{2+} \)
| 1 |
Chemistry
|
Give the IUPAC names of the following compounds:
Glycerol
| 1 |
Chemistry
|
If \( A+B+C=\pi \) then the expression \( \frac{\sin 2 A+\sin 2 B-\sin 2 C}{\sin 2 A+\sin 2 B+\sin 2 C} \) reduces to
| 2 |
Maths
|
The role of the axon is to
A. Integrate signals from the dendrites
B. Release neurotransmitter
C. Conduct the impulse to the synaptic terminal
D. Synthesize cellular components
| 0 |
Biology
|
Curved surface area and circumference
at the base of a solid right circular cylinder are 4400 sq. \( \mathrm{cm} \) and \( 110 \mathrm{cm} \) respectively. Find its height and diameter.
| 2 |
Maths
|
How will you convert:
(i) Propene to Propan-2-ol?
(ii) Phenol to 2,4,6-trinitrophenol?
| 1 |
Chemistry
|
Fill in the blank:
of charges on surfaces of clouds leads to lightning.
A. Accumulation
B. Leakage
c. conduction
D. Induction
| 3 |
Physics
|
\( \delta \) \( \delta \delta \)
\( \delta_{d} \)
\( 8 . d \)
| 1 |
Chemistry
|
On the basis of organization, animals are grouped into
A. Metazoa and Eumetazoa
B. Protozoa and Metazoa
c. Protozoa and Parazoa
D. Parazoa and Metazoa
| 0 |
Biology
|
Write two examples of plants with tendrils.
| 0 |
Biology
|
Let \( y=\sin ^{-1}(\cos x) \) then find \( \frac{d y}{d x} \)
| 2 |
Maths
|
Let \( A, B, C, D \) be (not necessarily
square) real matrices such that \( \boldsymbol{A}^{\boldsymbol{T}}= \)
\( \boldsymbol{B C D} ; \boldsymbol{B}^{\boldsymbol{T}}=\boldsymbol{C D A} ; \boldsymbol{C}^{\boldsymbol{T}}=\boldsymbol{D A B} \) and
\( D^{T}=A B C \) for the matrix \( S=A B C D \)
then which of the following is/are true This question has multiple correct options
A \( \cdot S^{3}=S \)
B. \( S^{2}=S^{4} \)
c. \( S=S^{2} \)
D. none of these
| 2 |
Maths
|
A lift starts from the top of a mine shaft
and descends with a constant speed of
\( 10 m / s .4 \) sec later a boy throws a stone
vertically upwards from the top of the shaft with a speed of \( 30 m / s . \) If stone
hits the lift at a distance \( x \) below the
shaft write the value of \( \frac{x}{3}(\text { in } m) \) \( \left[\text { Take }: \boldsymbol{g}=\mathbf{1 0} \boldsymbol{m} / \boldsymbol{s}^{2}\right]( \) given value of
\( \mathbf{2 0} \sqrt{\mathbf{6}}=\mathbf{4 9}) \)
| 3 |
Physics
|
Define Permitivity of vacuum \( \left(\boldsymbol{E}_{\mathbf{0}}\right) \)
| 3 |
Physics
|
Divide the following and write your answer in lowest terms: \( \frac{3 x^{2}-x-4}{9 x^{2}-16} \div \) \( \frac{4 x^{2}-4}{3 x^{2}-2 x-1} \)
A \( \frac{3 x+1}{4(3 x+4)} \)
В. \( \frac{3 x-1}{4(3 x+4)} \)
c. \( \frac{3 x+1}{4(3 x-4)} \)
D. None of these
| 2 |
Maths
|
A ballet dancer spins with angular velocity of 2.8 rev/s with her arms stretched out and moment of inertia
about the vertical axis. She then
retracts her arms and moment of
inertial becomes 0.71 about the same
axis. Find the new angular velocity
A. 3.2 rev / s
B. 4 rev/s
c. 4.8 rev/s
D. 5.6 rev / s
| 3 |
Physics
|
Photosynthetic Active Radiation (PAR) has which of the following range of wavelengths?
A. \( 400-700 \mathrm{nm} \)
B. 450-920 nm
c. \( 340-450 \mathrm{nm} \)
D. 500-600 nm
| 0 |
Biology
|
For the function \( f(x) \) which value of \( a \) is
not possible
A \( \cdot \frac{1}{4} \)
B. \( -\frac{1}{4} \)
\( c \cdot \frac{1}{2} \)
D. \( -\frac{1}{2} \)
| 2 |
Maths
|
If the midpoints of the sides of an equilateral triangle are connected, then they divide it into four triangles all
of which are
A. congruent
B. Similar in shape
C. Different
D. None of these
| 2 |
Maths
|
For the infinite series \( 1-\frac{1}{2}-\frac{1}{4}+\frac{1}{8}- \)
\( \frac{1}{16}-\frac{1}{32}+\frac{1}{54}-\frac{1}{128}-\ldots . \quad \) let \( S \) be
the (limiting) sum. Then \( S \) equals
A. 0
в. \( \frac{2}{7} \)
\( c \cdot \frac{6}{7} \)
D. \( \frac{9}{32} \)
E \( \frac{27}{32} \)
| 2 |
Maths
|
The function \( \boldsymbol{f}:(-\infty,-1) \rightarrow\left(\mathbf{0}, e^{5}\right] \)
defined by \( f(x)=e^{x^{3}-3 x+2} \) is
A. many-one and onto
B. many-one and into
c. one-one and onto
D. one-one and into
| 2 |
Maths
|
The mean temperature can be obtained
by
A. Average of the temperature recorded during the month
B. Calculate the average of such average temperatures
over many years
C. Average of the temperature recorded during one year
D. Both option A and B
| 0 |
Biology
|
Calculate the area of a parallelogram
with a base of \( 12 \mathrm{m} \) and height of \( 5 \mathrm{m} \)
\( \mathbf{A} \cdot 59 m^{2} \)
в. \( 60 m^{2} \)
\( \mathbf{c} \cdot 61 m^{2} \)
D. 62 \( m^{2} \)
| 2 |
Maths
|
India museum was established in
A . 1759
B. 1814
\( c . \) 1955
D. 1957
| 0 |
Biology
|
Louis de -Broglie is credited for his work
on
A. Theory of relativity
B. Electromagnetic theory
c. Matter waves
D. Law of distribution of velocities
| 3 |
Physics
|
Identify D:
\( \mathbf{A} \cdot C H_{3} O H \)
B \( \cdot C_{2} H_{6} O \)
\( \mathbf{c} \cdot C_{2} H_{5} O \)
\( \mathrm{D} \cdot C_{4} H_{10} \mathrm{O} \)
| 1 |
Chemistry
|
Show that the vectors \( 2 \hat{i}-\hat{j}+\hat{k}, \hat{i}- \) \( \mathbf{3} \hat{\boldsymbol{j}}-\mathbf{5} \hat{\boldsymbol{k}} \quad \) and \( \quad \mathbf{3} \hat{\mathbf{i}}-\mathbf{4} \hat{\boldsymbol{j}}-\mathbf{4} \hat{\boldsymbol{k}} \) form the
vertices of a right angled triangle.
| 2 |
Maths
|
A certain radioactive material can
undergo three different types of decay, each with a different decay constant \( \lambda, 2 \lambda, \) and \( 3 \lambda . \) Then, the effective decay
constant \( \lambda_{e f f} \) is equal to \( n \lambda \). What is
the value of n?
| 3 |
Physics
|
Assertion
Higher plants have meristematic regions for indefinite growth.
Reason
Higher plants have root and shoot spices
A. If both the assertion and the reason are true and the reason is a correct explanation of the assertion
B. If both the assertion and reason are true but the reason is not a correct explanation of the assertion
c. If the assertion is true but the reason is false
D. If both the assertion and reason are false
| 0 |
Biology
|
Write a short note on heterocyclic base present in nucleic acids. (structure is
not required)
| 1 |
Chemistry
|
Organic chemistry is the chemistry of specific \( - \) compounds.
A. oxygen
B. chlorine
c. nitrogen
D. carbon
| 1 |
Chemistry
|
Which amongst the following reactions cannot be used for the preparation of the halogen acid?
A \( \cdot 2 K B r+H_{2} S O_{4}(\text { Conc. }) \rightarrow K_{2} S O_{4}+2 H B r \)
В. \( 2 \mathrm{NaCl}+\mathrm{H}_{2} \mathrm{SO}_{4}(\text { Conc. }) \rightarrow \mathrm{NaHSO}_{4}+\mathrm{HCl} \)
c. \( N a H S O_{4}+N a C l \rightarrow N a_{2} S O_{4}+H C l \)
D. \( C a F_{2}+H_{2} S O_{4}(\text {conc.}) \rightarrow C a S O_{4}+2 H F \)
| 1 |
Chemistry
|
The sum of two positive integers multiplied by the bigger number is 204 and their difference multiplied by the
smaller number is \( 35 . \) The numbers are :
A . 12,5
B. 13,4
\( c \cdot 14,3 \)
D. 24, 10
| 2 |
Maths
|
In any electric circuit, when the switch is on and the current is flowing through it why do the wire, switches, bulb or devices in the circuit become hot?
A. Because of the heating effect of electric current
B. Because of the magnetic effect of electric current
c. Because of the luminous effect of electric current
D. None of these
| 3 |
Physics
|
Find the general solution of the differential equation:
\( \frac{\boldsymbol{d} \boldsymbol{y}}{\boldsymbol{d} \boldsymbol{x}}=\frac{\boldsymbol{y}}{\boldsymbol{x}}+\sin \left(\frac{\boldsymbol{y}}{\boldsymbol{x}}\right) \)
| 2 |
Maths
|
The radius of a circular garden is \( 90 \mathrm{m} \) There is a road \( 9 \mathrm{m} \) wide around it. Find
total area of the road and the cost of
levelling the road at Rs.5 per sq.m.
| 2 |
Maths
|
How many electrons should be removed
from a coin of mas \( 1.6 \mathrm{g} \), so that it may
float in an electric field of intensity \( 10^{9} \) N/C directed upward?
A \( .9 .8 \times 10^{7} \)
B . \( 9.8 \times 10^{5} \)
\( \mathbf{c} \cdot 9.8 \times 10^{3} \)
D. \( 9.8 \times 10^{1} \)
| 3 |
Physics
|
A vessel with a symmetrical hole in its
bottom is fastened on a cart. The mass
of the vessel and the cart is 1.5 kg. With
what force \( F\left(\text { in } \times 10^{2} N\right) \) should the
cart be pilled so that the maximum amount of water remains in the vessel.
The dimensions of the vessel are as
shown in the figure. Given that \( b= \)
\( \mathbf{5 0} c \boldsymbol{m}, \boldsymbol{c}=\mathbf{1 0} \boldsymbol{c m} \) area of base \( \boldsymbol{A}= \)
\( 40 c m^{2}, L=20 c m, g=10 m / s^{2} \)
| 3 |
Physics
|
Q Type your question
them are correct
(i) In Primary treatment First, floating debris of waste is removed by sequence filters
(ii) The Soil and small pebbles are
removed by sedimentation in settling
tanks
(iii)The sediment is called primary sludge and supernatant is effluent.
(iv) The Sludge is taken for Secondary
treatment.
(v) Lower the B.O.D., higher Is water
pollution. (vi)When DDT enters the food chain
then they reach water and are easily degradable. (vii)Discharge of sewage water into river water will decrease its B.O.D.
(viii) Chlorine is added to disinfect
drinking water
A \( . \) (i), (ii), (iii), (iv)
B. (i), (ii), (iii), (vii)
\( \mathbf{c} \cdot(\mathbf{i}),(\mathbf{i} i)(\mathbf{i v}),(\mathbf{v}) \)
D. (i), (iv),(v), (viii)
| 0 |
Biology
|
The system shown in figure is in
equilibrium. The string between \( A \) and
\( B \) is cut. The acceleration of block \( B \)
will be?
\( A \)
B. \( g / 3 \)
\( c \)
D. None of these
| 3 |
Physics
|
A couple has two children. Find the probability that both the children are males, if it is known that at least one of the children is male.
(ii) females, if it is known that the elder child is a female.
| 2 |
Maths
|
Fill in the blanks with \( >,< \) or \( =\operatorname{sign} \) \( (-3)+(-6) \dots \dots \dots(-3)-(-6) \)
| 2 |
Maths
|
The image formed by a plane mirror is
the object.
\( \mathbf{A} \)
A. smaller than
B. bigger than
C. of the same size as
D. cannot be determined
| 3 |
Physics
|
In the arrangement of resistances shown below. The effective resistance
between points \( A \) and \( B \) is
A . \( 20 \Omega \)
в. \( 30 \Omega \)
\( c .90 \Omega \)
D. \( 110 \Omega \)
| 3 |
Physics
|
Power gain for \( N-P-N \) transistor is
\( 10^{6}, \) input resistance \( 100 \Omega \) and output
resistance \( 1000 \Omega \). find out current
gain.
A. 100
в. 150
\( c \cdot 200 \)
D. 50
| 3 |
Physics
|
Henry's law constant for the molality of methane in benzene at \( 298 \mathrm{K} \) is \( 4.27 \times \)
105 mm \( H g \). Calculate the solubility of
methane in benzene at \( 298 K \) under
\( 760 m m H g \)
| 1 |
Chemistry
|
Show that the Balmer series occurs between \( 3647 \dot{A} \) and \( 6563 \hat{A} \)
\( \left(\boldsymbol{R}=\mathbf{1} . \mathbf{0} \mathbf{9} \mathbf{6} \mathbf{8} \times \mathbf{1} \mathbf{0}^{\mathbf{7}} \boldsymbol{m}^{-\mathbf{1}}\right) \)
| 1 |
Chemistry
|
From 4 officers and 8 jawans, in how
many ways can 6 be chosen such that to include exactly one officer.
| 2 |
Maths
|
Suppose a voltmeter of resistance \( 660 \Omega \) reads the voltage of a very old cell to be
1.32 volt while a potentiometer reads its voltage to be 1.44 volt. The internal resistance of the cell is:
A . \( 30 \Omega \)
B. \( 60 \Omega \)
\( c \cdot 6 \Omega \)
D. \( 0.6 \Omega \)
| 3 |
Physics
|
Give the main drawback of Rutherford's
model.
| 1 |
Chemistry
|
The random error which exists
invariably in screw gauge is:
A. least count error
B. zero error
c. gross error
D. backlash error
| 3 |
Physics
|
Which of the following is a condition for burning?
A. Ignition temperature
B. Combustible substance
c. Gaseous environment
D. All of above
| 1 |
Chemistry
|
An aqueous blue coloured solution of a
transition metal nitrate reacts with
\( H_{2} S \) in acidic medium to give a black precipitate (X), which dissolves in \( \boldsymbol{K} \boldsymbol{N} \) solution forming a clear solution of (Y). The blue solution on reaction with
\( K I \) in weakly acidic medium becomes intensely brown and produces a white precipitate (Z).
The electron configuration of the transition metal ion is
This question has multiple correct options
\( \mathbf{A} \cdot[A r] 3 d^{9} \)
B . \( [A r] 3 d^{10} \)
c. \( [K r] 4 d^{9} \)
D. \( [K r] 4 d^{1} \)
| 1 |
Chemistry
|
hierarchy of various taxonomic
categories. Identify the missing categories(A, B and
C) and select the correct statements
regarding these.
(i) \( A \) is the taxonomic category which
contains a number of related genera.
(ii) Examples of category B are Monocotyledoneae, Dicotyledoneae, Mammalia, etc.
(iii) \( \mathrm{C} \) represents the basic unit of taxonomic hierarchy.
(iv) Examples of category \( C \) are Fungi
Monera, Protista, etc.
\( A \cdot \) (i) and (ii)
B. (iii) and (iv)
C . (i), (ii) and (iv)
D. (i), (ii), (iii) and (iv)
| 0 |
Biology
|
If \( k+\left|k+z^{2}\right|=|z|^{2}\left(k \epsilon R^{-}\right), \) then
possible argument of \( z \) is
A .
в. \( \pi \)
c. \( \frac{\pi}{2} \)
D. None of these
| 2 |
Maths
|
Fluorine reacts with ice and results in
the change:
\[
\begin{array}{r}
\boldsymbol{H}_{2} \boldsymbol{O}(\boldsymbol{s})+\boldsymbol{F}_{2}(\boldsymbol{g}) \longrightarrow \boldsymbol{H} \boldsymbol{F}(\boldsymbol{g})+ \\
\boldsymbol{H O F}(\boldsymbol{g})
\end{array}
\]
i) Justify that this reaction is a redox
reaction.
ii) Write the substances oxidized and
reduced.
iii) Write the name of the substances
which acts as reducing agent and oxidizing agent.
| 1 |
Chemistry
|
Silver is found in nature both in native
and combined state.
A. True
B. False
| 1 |
Chemistry
|
How is chlorine produced by electolytic
method?
| 1 |
Chemistry
|
Percussion instruments are musical
instruments that are played by
A. banging
B. shaking
c. both A and B
D. hitting
| 3 |
Physics
|
You are provided with a negatively charged gold leaf electroscope. State and explain what happens when an uncharged metal rod is brought near the disc of electroscope.
A. Divergence increases
B. Divergence decreases
c. Divergence remains same
D. can't say
| 3 |
Physics
|
One mole of a gas expands by \( 3 L \)
against a constant pressure of 3 atmosphere. Calculate the work done in L atmosphere.
| 1 |
Chemistry
|
Maximum height. (in m)
A . 20
B. 40
\( c .60 \)
D. 80
| 3 |
Physics
|
Which of the following is natural element?
A. Pm
B . La
c. Pu
D. Np
| 1 |
Chemistry
|
At what angle the rectangular mirrors are set to each other in Kaleidoscope?
A. 90 degree
B. 30 degree
c. 60 degree
D. 120 degree
| 3 |
Physics
|
For a particle performing SHM:
A. The kinetic energy is never equal to the potential
energy
B. The kinetic energy is always equal to the potential energy
C. The average kinetic energy in one time period is equal to the average potential energy in this period.
D. The average kinetic energy in any time interval is never equal to average potential energy in that interval.
| 3 |
Physics
|
If \( \sin ^{-1}\left(x-\frac{x^{2}}{2}+\frac{x^{3}}{4}-\dots \infty\right)+ \)
\( \cos ^{-1}\left(x^{2}-\frac{x^{4}}{2}+\frac{x^{6}}{4}-\dots \infty\right)=\frac{\pi}{2} \)
and \( 0<x<\sqrt{2}, \) then \( x= \)
A \( \cdot \frac{1}{2} \)
в.
\( c \cdot-\frac{1}{2} \)
D. \( \frac{\sqrt{3}}{2} \)
| 2 |
Maths
|
A simple leaf can be differentiated from the pinnae of a compound leaf on the basis of presence or absence of
A. number of pinnae
B. shape of lamina
c. axillary bud
D. lateral buds
| 0 |
Biology
|
Name the method which can give
following product
| 1 |
Chemistry
|
Two equal poles repel each other with a
force of \( 10^{-3} \) N. When placed 2 cm apart in
air, the pole strength of each is (in amp-
\( \mathrm{m}) \)
A . \( 4 \pi \)
B. 2
\( c \cdot 4 \)
D. 2\pi
| 3 |
Physics
|
A particle is moved from (0,0) to \( (a, a) \) under a force \( F=3 i+4 j \) ) from two paths.
Path 1 is \( 0 P \) and path 2 is \( Q O P \). Let \( W_{1} \)
and \( \mathrm{W}_{2} \) be the work done by this force in two paths. Then:
A. \( w_{1}=w_{2} \)
B. \( w_{1}=2 w_{2} \)
\( c \cdot w_{2}=2 w_{1} \)
\( D \cdot W_{1}=4 W_{2} \)
| 3 |
Physics
|
Electrons are represented as:
\( \mathbf{A} \cdot e \)
B \( \cdot e^{-} \)
\( \mathbf{c} \cdot e^{+} \)
\( \mathrm{D} \cdot e^{+} \)
| 1 |
Chemistry
|
A cyclic heat engine does \( 50 \mathrm{kJ} \) of work per cycle. If efficiency of engine is \( 75 \% \) the heat rejected per cycle will be:
A . 60.6
B. 16.6
c. 200
D. 600
| 3 |
Physics
|
The first major industrial demand for
sulfuric acid for making sodium
carbonate was the
A . vitrol process
B. oiling vitrol process
c. leblanc process
D. nordhausen process
| 1 |
Chemistry
|
A straight line is drawn through the point \( p(2,3) \) and is inclined at an angle
of \( 30^{\circ} \) with the \( x- \) axis, the co-ordinates
of two points on it at a distance of 4 from \( p \) is/are
A \( \cdot(2+2 \sqrt{3}, 5),(2-2 \sqrt{3}, 1) \)
B . \( (2+2 \sqrt{3}, 5),(2+2 \sqrt{3}, 1) \)
c. \( (2-2 \sqrt{3}, 5),(2-2 \sqrt{3}, 1) \)
D. none of these
| 2 |
Maths
|
Which one of the following vitamins is water soluble?
A. Vitamin \( B \)
B. Vitamin \( E \)
c. Vitamin \( K \)
D. Vitamin \( A \)
| 1 |
Chemistry
|
How many \( N a^{+} \) ions are present in
\( 100 m L \) of \( 0.25 M \) of \( N a C l \) solution?
A. \( 0.25 \times 10^{23} \)
В. \( 1.505 \times 10^{22} \)
C. \( 15 \times 10^{22} \)
D. \( 2.5 \times 10^{23} \)
| 1 |
Chemistry
|
Consider the following statements \( (A- \)
C) each with one or two blanks.
(A)(1) are the most abundant cells (60-
\( 65 \text { per cent }) \) of the total WBCs and (2) are the least (0.5-1 per cent) among
them.
(B)Platelets are cell fragments produced from (3)
(C)During clot formation, fibrins are formed by the conversion of inactive in the plasma by the enzyme (5). Which one of the following options,
gives the correct fill ups for the respective blank numbers from
(1) to
(5)
in the statements?
A. (I)-Neutrophils, (2)-basophils, (4)-fibrinogens, (5) thrombin
B. (3)-mast cells, (4)-throm bo kinase, (5)prothrombin
c. (3)-megakaryocytes,
(4) prothrombin, (5)thrombin
D. (1)-Basophils, (2)-neutrophils, (3)-reticulocytes
| 0 |
Biology
|
The power supplied by the battery will be:
A. \( 15 \mathrm{w} \)
B. 24 W
c. \( 3.6 \mathrm{w} \)
D. 20 W
| 3 |
Physics
|
Assertion
No. of spherical balls that can be made out of a solid cube of lead whose edge is \( 44 \mathrm{cm}, \) each ball being \( 4 \mathrm{cm} \). in diameter, is 2541
Reason
Number of balls = (Volume of one
ball)/(Volume of lead)
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
| 2 |
Maths
|
\( \lim _{x \rightarrow 0}\left[\frac{(1+x)^{\frac{1}{8}}-(1-x)^{\frac{1}{8}}}{x}\right] \)
| 2 |
Maths
|
Let \( A=\{0,1,2,3\} \) and define a relation \( R \)
as follows
\( R=\{(0,0),(0,1),(0,3),(1,0),(1,1),(2,2) \)
(3,0),(3,3)\}
Is \( \mathrm{R} \) reflexive, symmetric and transitive
\( ? \)
| 2 |
Maths
|
Tincture of iodine has antiseptic
properties. This solution is made by dissolving:
A. iodine in potassium iodide
B. iodine in vaseline
c. iodine in water
D. iodine in alcohol
| 1 |
Chemistry
|
Lungs ventilation movement are due to
the movements of
A. coastal muscles and diaphragm
B. coastal muscles only
c. Diaphragm only
D. wall of the lungs
| 0 |
Biology
|
How did Hershey and Chase prove that DNA is the genetic material?
| 0 |
Biology
|
A scrubber in the exhaust of a chemical industry removes
A. Hydrogen sulphide
B. Sulpher dioxide
c. Nitrous oxide
D. Carbon monoxide
| 0 |
Biology
|
Using triangle inequality theorem check whether the given side lengths
\( \boldsymbol{a}=\mathbf{3}, \boldsymbol{b}=\mathbf{5} \) and \( \boldsymbol{c}=\mathbf{1} \) will form a
triangle or not
| 2 |
Maths
|
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