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The main fuse is connected in:
A. live wire.
B. neutral wire.
c. both the live and earth wires.
D. both earth and neutral wire.
| 3 |
Physics
|
Annual growth rings are formed due to activity of
A. Extra-stelar cambium
B. Intra-stelar cambium
c. Inter-stelar cambium
D. All of the above
| 0 |
Biology
|
Prakash peddles a stationary bicycle, the pedals of which are attached to a
100 turn coil of area \( 0.1 m^{2} . \) The coil
rotates at half a revolution per second
and it is placed in a uniform magnetic field of \( 0.01 T \) perpendicular to the axis
of rotation of the coil. Determine the
maximum voltage generated in the coil.
| 3 |
Physics
|
The percentage of marks obtained by a student in a unit test are given below:
Unit II
II IV \( t \) est
\( \% \) of 70 \( \quad \) 72
\( 65 \quad 68 \)
marks
What is the probability that the student gets more than \( 70 \% \) marks
A \( \cdot \frac{1}{5} \)
в. \( \frac{2}{5} \)
\( c \cdot \frac{3}{5} \)
D.
| 2 |
Maths
|
A farmer has enough food to feed 20
animals in his cattle for 6 days. How long would the food last if there were 10
more animals in his cattle?
| 2 |
Maths
|
For the reaction, \( 2 N O+C l_{2} \longrightarrow \)
\( 2 N O C l, \) the following mechanism has
been proposed:
\( N O+C l_{2} \rightleftharpoons N O C l_{2} \)
\( N O C l_{2}+N O \longrightarrow 2 N O C l \)
(slow)
The rate law for the reaction is:
A \( \cdot \) Rate \( =k[N O]^{2}\left[C l_{2}\right] \)
B・Rate \( =k[N O]\left[C l_{2}\right]^{2} \)
c. Rate \( =k\left[N O C l_{2}\right] \)
D・Rate \( =k[N O C l]^{2} \)
| 1 |
Chemistry
|
Solve: \( \frac{\boldsymbol{d} \boldsymbol{y}}{\boldsymbol{d} \boldsymbol{x}}+\mathbf{1}=\boldsymbol{e}^{\boldsymbol{x}+\boldsymbol{y}} \)
| 2 |
Maths
|
In an estimation of sulphur by Carius
method 0.2175 g of the substance gave 0.5825 g of barium sulphate. Calculate then percentage of sulphur in the compound.
A . \( 30.12 \% \)
B. \( 42.22 \% \)
c. \( 36.78 \% \)
D. 45.36\%
| 1 |
Chemistry
|
\( \operatorname{Let}\left|\frac{z_{1}-2 z_{2}}{2-z_{1} \bar{z}_{2}}\right|=1 \) and \( \left|z_{2}\right| \neq 1, \) where
\( z_{1} \) and \( z_{2} \) are complex numbers. Find
the value of \( \left|z_{1}\right| \)
| 2 |
Maths
|
Suppose the point with coordinates (-12,5) is on the terminal side of angle
\( \theta, \) the value of the sine trigonometric function of \( \theta . \) is \( \frac{a}{13} \) Find \( a \)
| 2 |
Maths
|
The number of arbitrary constant in the particular solution of a differential equation is
\( A \cdot 3 \)
B. 4
c. infinite
D. zero
| 2 |
Maths
|
Integrate: \( \int \frac{x}{x^{4}-x^{2}+1} d x \)
| 2 |
Maths
|
Draw a graph for the following pair of
linear equations in two variables and find their solution from the graph.
\( 2 x+y=5 \)
\( 3 x-2 y=4 \)
| 2 |
Maths
|
Solve :
\[
\tan ^{2} \theta-2 \sin \theta=0
\]
| 2 |
Maths
|
A number is 27 more than the number
obtained by reversing its digits. If its unit's and ten's digits are \( x \) and \( y \)
respectively, write the linear equation representing the above statement
| 2 |
Maths
|
Chipko movement was launched for the protection of
A. Grasslands
B. Forests
c. Livestock
D. Wet lands
| 0 |
Biology
|
Is 402 a term of the sequence:
\( 8,13,18,23, \dots \dots \dots \dots \dots \)
| 2 |
Maths
|
What is chemical change?
| 1 |
Chemistry
|
Each codon consists of how many nitrogen bases?
A. four
B. twenty
c. three
D. sixty four
| 1 |
Chemistry
|
Electric charge \( Q, Q \) and \( -2 Q \)
respectively are place at the three corner of an equilateral triangle of side
a. Magnitude of the electric dipole moment of the system is:
| 3 |
Physics
|
Chlorine gas is passed in an aqueous potassium iodide solution to form potassium chloride solution and solid iodine. Identify the type of the reaction:
\( \mathbf{A} \)
Decompostion reaction
\( \mathbf{B} \)
Double Displacement reaction
\( \mathbf{c} \)
Displacement reaction
D. None of these
| 1 |
Chemistry
|
Solve \( : \int_{0}^{\frac{\pi}{2}} \tan ^{5} x \cos ^{8} x d x \)
| 2 |
Maths
|
Identıty In wnıch or the rollowıng grapns
does the moving object reverse its
direction?
\( A \)
B.
\( c \)
D.
E .
| 3 |
Physics
|
Define optical activity. How many optical isomers are possible for glucose?
| 1 |
Chemistry
|
Which of the following statements
is/are false?
This question has multiple correct options
A. A fast reaction has a large rate constant and short half-life
B. Half life depends on concentration of reactants for first order reaction.
C. For a first order reaction, the half-life is independent of concentration
D. The half-life of a reaction is half the time required for the reaction to go to completion
| 1 |
Chemistry
|
A coin is tossed 6 times. Find the
probability of getting atleast 3 heads.
| 2 |
Maths
|
Correct sequence of plants in a
hydrosere is
\( \mathbf{A} \cdot \) Pistia \( \rightarrow \) Volvox \( \rightarrow \) Scirpus \( \rightarrow \) Hydrilla \( \rightarrow \) Oak \( \rightarrow \) Lantana
B. Oak \( \rightarrow \) Lantana \( \rightarrow \) Volvox \( \rightarrow \) Hydrilla \( \rightarrow \) Pistia \( \rightarrow \) Scirpus
C. Oak \( \rightarrow \) Lantana \( \rightarrow \) Scirpus \( \rightarrow \) Pistia \( \rightarrow \) Hydrilla \( \rightarrow \) Volvox
D. Volvox \( \rightarrow \) Hydrilla \( \rightarrow \) Pistia \( \rightarrow \) Scirpus \( \rightarrow \) Lantana \( \rightarrow \) Oak
| 0 |
Biology
|
Draw the graphs of the following
equations:
\( \mathbf{2} \boldsymbol{x}-\mathbf{3} \boldsymbol{y}+\mathbf{6}=\mathbf{0} \)
\( 2 x+3 y-18=0 \)
\( \boldsymbol{y}-\mathbf{2}=\mathbf{0} \)
Find the vertices of the triangle so obtained. Also, find the area of the
triangle.
| 2 |
Maths
|
If \( Q \) (alkali metal) reacts with fluorine and oxygen, the molecular formula of fluoride and oxide respectively are:
A. \( Q F_{3}, Q_{2} O_{3} \)
в. \( Q F, Q_{2} O \)
\( \mathbf{c} \cdot Q F_{2}, Q O \)
D. None of these
| 1 |
Chemistry
|
Acids and esters having the same number of carbon atoms are:
A. functional isomers
B. tautomers
c. metamers
D. not isomers
| 1 |
Chemistry
|
If \( P(A)=P(B), \) then
\( A \cdot A \) and \( B \) are the same events
B. \( A \) and \( B \) must be same events
C. \( A \) and \( B \) may be different events
D. A and B are mutually exclusive events.
| 2 |
Maths
|
What steady current can be drawn from
an accumulator of capacity 80 Ah?
A. \( 4 A \) for 20 hrs
B. 40 A for 6 hrs
\( \mathrm{c} .20 \mathrm{A} \) for \( 5 \mathrm{hrs} \)
D. \( 2 A \) for 100 hrs
| 3 |
Physics
|
Assertion
Fluorine always exhibits an oxidation
state of -1 in its compounds.
Reason
Fluorine has maximum
electronegativity and it contain seven electrons in its valence shell.
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
| 1 |
Chemistry
|
Kidneys, lungs, gills and sweat glands,
are parts the of system in animals.
A. Digestive
B. Excretory
c. Blood circulation
D. Nervous
| 0 |
Biology
|
One bag contains 3 white balls, 7 red balls and 15 black balls. Another bag contains 10 white balls, 6 red balls and 9
black balls. One ball is taken from each
bag. What is the probability that both the balls will be of the same colour?
A \( \cdot 207 / 625 \)
B. \( 191 / 625 \)
c. \( 23 / 625 \)
D. \( 227 / 625 \)
| 2 |
Maths
|
The oxide of a metal (R) can be reduced by the metal (P) and metal (R) can
reduce the oxide of metal (Q). Then the
decreasing order of the reactivity of metal (P), (Q) and (R) with oxygen is :
\( A \cdot P>Q>R \)
B. P>R > Q
c. \( R>P>Q \)
D. \( Q>P>R \)
| 1 |
Chemistry
|
Basic strength of \( N H_{4} O H \) in presence
of \( \boldsymbol{N} \boldsymbol{H}_{4} \boldsymbol{C} \boldsymbol{I} \)
A. Increase
B. Remains unchanged
c. Decreases
D. Some times increases or sometimes decrease
| 1 |
Chemistry
|
All of the following are the examples of fossil fuels except:
A. petroleum
B. coal
c. natural gas
D. charcoal
| 3 |
Physics
|
The type of bond between the atoms in a nitrogen molecule is :
A. hydrogen bond
B. ionic bond
c. polar covalent bond
D. pure covalent bond
E. metallic bond
| 1 |
Chemistry
|
A resistor \( R, \) an inductor \( L \) and \( a \)
capacitor \( C \) are connected in series to a
source of frequency \( n \). If the resonant
frequency is \( n \), then the current lags behind voltage, when
\( \mathbf{A} \cdot n=0 \)
в. \( n<n_{r} \)
\( \mathbf{c} \cdot n=n_{r} \)
D \( \cdot n>n_{r} \)
| 3 |
Physics
|
Which of the following is a source of instant energy?
A. Salt
B. Glucose
c. water
D. starch
| 1 |
Chemistry
|
The digits of a 3 -digit number are in \( A P \) and their sum is \( 15 . \) The number
obtained by reversing the digits is 594 less than the original number. Find the
number.
| 2 |
Maths
|
In a region with a cold climate, the
aquatic plants and animals can survive even when the atmospheric
temperature goes below \( 0^{\circ} C \) Comment on the above statement
| 1 |
Chemistry
|
Let \( R \) be a reflexive relation on a finite
set A having n elements, and let there be m ordered pairs in R. Then:
\( \mathbf{A} \cdot m \geq n \)
в. \( m \leq n \)
c. \( m=n \)
\( \mathbf{D} \cdot m=-n \)
| 2 |
Maths
|
If \( \boldsymbol{A}=\left[\begin{array}{ll}\mathbf{1} & \mathbf{1} \\ \mathbf{1} & \mathbf{1}\end{array}\right], \) then \( \boldsymbol{A}^{100} \) is equal to
\( \mathbf{A} \cdot 2^{100} A \)
в. \( 2^{99} \) А
\( c \cdot 100 A \)
D . \( 299 A \)
| 2 |
Maths
|
(a) Define one tesla.
(b) Derive an expression for force experienced by a current carrying straight conductor placed in a magnetic field. How can we find the direction of force?
| 3 |
Physics
|
Electrons with a kinetic energy of
\( 6.023 \times 10^{4} J / \) mol are evolved from the
surface of a metal when it is exposed to
radiation of a wavelength of 600 nm. The minimum amount of energy
required to remove an electron from the metal atom is:
A \( .2 .3125 \times 10^{-19} \mathrm{J} \)
B . \( 3 \times 10^{-19} J \)
\( c \cdot 6.02 \times 10^{-19} J \)
\( J \)
D. \( 6.62 \times 10^{-34} J \)
| 1 |
Chemistry
|
In old age arteries carrying blood in the human body become narrow resulting in an increase in the blood pressure. This follows from:
A. Pascal'law
B. Stoke's law
c. Bernoulli's principle
D. Archimedes principle
| 3 |
Physics
|
Radiations of two different frequencies
whose photon energies are \( 3.4 e V \) and \( 8.2 e V \) successive illuminate a metal
surface whose work function is \( 1.8 e V \)
The ratio of the maximum speeds of the
emitted electrons will be:
A . 1: 1
B. 1: 2
\( c \cdot 1: 3 \)
D. 1: 4
| 3 |
Physics
|
Bleaching powder \( \left(C a O C l_{2}\right) \) has two types of chlorine atoms with oxidation
number of +1 and \( -1 . \) It can be
represented as:
A \( \cdot C a^{2+}\left(C l O_{2}^{-}\right) C l^{-} \)
в. \( C a^{2+}\left(C l O_{3}^{-}\right) C l^{-} \)
c. \( C a^{2+}\left(C l O^{+}\right) C l^{-} \)
D. \( C a^{2+}\left(C l O^{-}\right) C l^{-} \)
| 1 |
Chemistry
|
The work done to move a charge on an equipotential surface is?
A . Infinity
B. Less than 1
c. Greater than 1
D. zero
| 3 |
Physics
|
An object is displaced from position
vector \( r_{1}=(2 i+3 j) m \) to \( r_{2}=(4 i+6 j) m \) under
the action of a force \( F=\left(3 x^{2} i+2 y j\right) N . \) Finf the work done by this force.
| 3 |
Physics
|
If differential equation of family of curves \( \boldsymbol{y} \ln |\boldsymbol{c} \boldsymbol{x}|=\boldsymbol{x}, \) where \( c \) is an
arbitrary constant, is \( \boldsymbol{y}^{\prime}=\frac{\boldsymbol{y}}{\boldsymbol{x}}+\boldsymbol{\phi}\left(\frac{\boldsymbol{x}}{\boldsymbol{y}}\right) \)
for some function \( \phi \), then \( \phi(2) \) is equal
to?
| 2 |
Maths
|
A and \( \mathrm{B} \) are two points on the circle
\( \mathbf{x}^{2}+\mathbf{y}^{2}=1 . \) If the \( \mathbf{x} \) co-ordinates of \( \mathbf{A} \)
and \( \mathrm{B} \) are the roots of the equation
\( x^{2}+a x+b=0 \) and the \( y \)
coordinates of \( \mathbf{A} \) and \( \mathbf{B} \) are the roots of
the equation \( \mathbf{y}^{2}+\mathbf{b y}+\mathbf{a}=\mathbf{0} \) then the
equation of the line \( A B \) is
A \( \cdot a x+b y=0 \)
B. \( a x+b y+1=0 \)
c. \( b x+a y+a+b=0 \)
D. \( a x+b y+a+b+1=0 \)
| 2 |
Maths
|
Chlorine reacts with excess of ammonia
to form :
A \( \cdot N H_{4} C l \)
в. \( N_{2}+H C l \)
c. \( N_{2}+N H_{4} C l \)
D. \( N_{2}+N C l_{3} \)
| 1 |
Chemistry
|
The length and breadth of a metal sheet are \( 3.124 m \) and \( 3.002 m \) respectively.
The area of this sheet upto four correct
significant figure is :
A \( .9 .378 \mathrm{m}^{2} \)
В. \( 9.37 m^{2} \)
c. \( 9.378248 \mathrm{m}^{2} \)
D. \( 9.3782 \mathrm{m}^{2} \)
| 3 |
Physics
|
A book which is positioned on the floor is moved to a table that is one
meter above the floor. The book has:
A. Gained sound energy
B. Lost chemical energy
c. Gained potential energy
D. Gained kinetic energy
E. Lost nuclear energy
| 3 |
Physics
|
Find the value of \( K \), If the roots of the
following quadratic equation are equal \( : x^{2}+K x^{2}+1=0 \)
| 2 |
Maths
|
A spring of force constant \( 800 \mathrm{N} / \mathrm{m} \) has
an extension of \( 5 \mathrm{cm} \). Find work done in
extending it from \( 5 \mathrm{cm} \) to \( 15 \mathrm{cm} \)
| 3 |
Physics
|
Differentiate between. Stroke volume and cardiac output
| 0 |
Biology
|
What are the units of magnetic moments and magnetic induction?
| 3 |
Physics
|
Solve
\( \left(15 y^{4}+10 y^{3}-3 y^{2}\right) \div 5 y^{2} \)
| 2 |
Maths
|
ff \( \boldsymbol{x}=\boldsymbol{a} \sin \boldsymbol{\theta}+\boldsymbol{c} \cos \boldsymbol{\theta} \) and \( \boldsymbol{y}= \)
\( \boldsymbol{a} \cos \boldsymbol{\theta}-\boldsymbol{c} \sin \boldsymbol{\theta}, \operatorname{then} \boldsymbol{x}^{2}+\boldsymbol{y}^{2}=\boldsymbol{a}^{2}+\boldsymbol{c}^{2} \)
A . True
B. False
| 2 |
Maths
|
An electromagnetic wave is radiated by
a \( 100 \mathrm{W} \) bulb. If efficiency of the bulb is \( 20 \% \) then the amplitude of magnetic field at a distance of \( 1 \mathrm{m} \) is (Consider bulb as a point source)
| 3 |
Physics
|
The reaction \( ; F_{2}+\frac{1}{2} O_{2} \longrightarrow O F_{2} \)
shows \( \Delta H= \) is
A. negative
B. positive
c. zero
D. none of the above
| 1 |
Chemistry
|
A turn of radius \( 20 m \) is banked for the
vehicles going at a speed of \( 36 k m / h . \) If the coefficient of static friction between
the road and the tyre is \( 0.4, \) what are the possible speeds of a vehicle so that it neither slips down nor skids up?
A \( .14 .7 \mathrm{km} / \mathrm{h} \) and \( 54 \mathrm{km} / \mathrm{h} \)
B. \( 14.2 \mathrm{km} / \mathrm{h} \) and \( 50 \mathrm{km} \)
c. \( 11.7 k m / h \) and \( 44 \mathrm{km} / \mathrm{h} \)
D. \( 17.7 \mathrm{km} / \mathrm{h} \) and \( 34 \mathrm{km} / \mathrm{h} \)
| 3 |
Physics
|
In an electron gun the control grid is given a negative potential relative to cathode in order to
A. Decelerate electrons
B. Repel electrons and thus to control the number of electrons passing through it
c. To select electrons of same velocity and to converge them along the axis
D. To decrease the kinetic energy of electrons
| 3 |
Physics
|
A piece of material moves very slowly towards a pole of magnet. The material
must be
A. Diamagnetic
B. Ferromagnetic
c. Paramagnetic
D. Ferrimagnetic
| 3 |
Physics
|
Mention the important considerations required while fabricating a p-n junction diode to be used as a Light Emitting Diode (LED).What should be
the order of band gap of an LED if it is required to emit light in the visible range?
| 3 |
Physics
|
The relation between the slope of
isothermal curve and slope of adiabatic
Curve:
A. Slope of adiabatic curve \( =\gamma \) times slope of isothermal
curve
B. Slope of isothermal curve \( =\gamma \) times slope of adiabatic
curve
C. Slope of adiabatic curve \( =\gamma^{2} \) times slope of isothermal curve
D. Slope of isothermal curve \( =\gamma^{2} \) times slope of adiabatic curve
| 1 |
Chemistry
|
In a prokaryotic cell, cell division takes
place by ............................. type of reproduction
| 0 |
Biology
|
In series \( L-C-R \) circuit voltage drop
across resistance is \( 8 V, \) across
inductor is \( 6 V \) and across capacitor is
\( \mathbf{1 2} V \). Then
A. Voltage of the source will be leading in the circuit
B. Voltage drop across each element will be less than the applied voltage.
c. Power factor of the circuit will be \( 3 / 4 \)
D. None of the above
| 3 |
Physics
|
Write the value of \( \int \boldsymbol{X} \boldsymbol{a}^{\boldsymbol{x}^{2}+1} \boldsymbol{d} \boldsymbol{x} \)
| 2 |
Maths
|
Solve \( 6 x^{2}-5 x-25=0 \)
| 2 |
Maths
|
Which of the following true for an
offspring formed as a result of sexual
reproduction?
A. The offspring gets a full set of genes from the mother and from the father.
B. The offspring gets half the genes from the mother and half the genes from the father.
C. The offspring gets all of its genes from the father.
D. The offspring gets a random mixture of genes from the mother and father
E. The offspring gets all of its genes from the mother.
| 0 |
Biology
|
An electron beam projected along positive \( x \) -axis deflects along the positive y-axis.lf this deflection is caused by a magnetic field,what is the direction of the field?
| 3 |
Physics
|
Why does physisorption decrease with the increase of temperature?
| 1 |
Chemistry
|
A plane progressive wave is
represented by the equation \( \boldsymbol{y}= \) \( 0.25 \cos (2 \pi t-\pi x) . \) The equation of a
wave with double the amplitude and half the frequency but travelling in the opposite direction will be
A. \( y=0.5 \cos (\pi t-\pi x) \)
B. \( y=0.5 \cos (\pi t+\pi x \)
c. \( y=0.25 \cos (\pi t+2 \pi x) \)
D. \( y=0.5 \cos (2 \pi t+2 \pi x) \)
| 3 |
Physics
|
When you walk or run you push your foot \( _{\text {一一一一一一一一 }} \) (forwards, backwards)
| 3 |
Physics
|
If \( A=\left[\begin{array}{ccc}2 & 3 & 1 \\ 0 & -1 & 5\end{array}\right], B=\left[\begin{array}{ccc}1 & 2 & -1 \\ 0 & -1 & 3\end{array}\right] \)
| 2 |
Maths
|
Choose the correct answer among the alternatives given:
In the reaction products are?
\[
\langle\vec{J}\rangle-\mathrm{OCH}_{3} \stackrel{\mathrm{HBr}}{\longrightarrow}
\]
\( A \)
(a) \( \quad B r-\langle\overline{\quad}\rangle-O C H_{3} \) and \( H_{2} \)
\( B \)
(b) \( \langle\vec{J}\rangle-\mathrm{Br} \) and \( \mathrm{CH}_{3} \mathrm{Br} \)
\( c \)
(c) \( \quad\langle\bar{f}\rangle-\mathrm{Br} \) and \( \mathrm{CH}_{3} \mathrm{OH} \)
\( D \)
(d) \( \langle\vec{y}\rangle-\mathrm{OH} \) and \( \mathrm{CH}_{3} \mathrm{B}_{\mathrm{r}} \)
| 1 |
Chemistry
|
Observe the following figure and answer the questions:
(a) How did the human brain go on changing?
(b) Give examples of human progress?
| 0 |
Biology
|
There are three forces acting on an object : 6 N to the left, 5 N to the right and \( 3 \mathrm{N} \) to the left.What is the net force
acting on the object?
\( A \cdot 4 N \)
B. 4 N left
c. 4 N right
D. 8 N left
E. None of above
| 3 |
Physics
|
Until when does the charged particle
transmits charge to other?
A. Until the overall repulsive forces between electrons is minimised.
B. Until the overall repulsive forces between electrons is maxmised.
C. Until the overall repulsive forces between electrons is become neutral
D. None
| 3 |
Physics
|
In the circuit shown in fig., the potential
difference between the points \( C \) and \( D \) is balanced against \( 40 \mathrm{cm} \) length of
potentiometer wire of total length 100 \( \mathrm{cm} . \) In order to balance the potential
difference between the points D and \( E \) the jockey should be pressed on
potentiometer wire at a distance of
A . \( 16 \mathrm{cm} \)
B. 32 \( \mathrm{cm} \)
\( c .56 \mathrm{cm} \)
D. \( 80 \mathrm{cm} \)
| 3 |
Physics
|
The number of solution of the equation
\( 1+x^{2}+2 x \sin \left(\cos ^{-1} y\right)=0 \) is :
\( A \)
B. 2
\( c \cdot 3 \)
D. 4
| 2 |
Maths
|
A group of plants or animals with
similar characters of any rank is
A. species
B. Genus
c. Order
D. taxon
| 0 |
Biology
|
Which among the following is the
longest phase of cell cycle?
A. Prophase
B. Telophase
\( c \cdot G_{1} \)
D. \( G_{2} \)
| 0 |
Biology
|
If \( \boldsymbol{A}^{T} \boldsymbol{B}^{T}=\boldsymbol{C}^{T} \) then \( \mathbf{C}= \)
\( A \cdot A B \)
B. BA
\( c . \) вс
D. ABC
| 2 |
Maths
|
Classification means \( _{--}- \) - of things.
A. dividing
B. grouping
c. removal
D. none of these
| 1 |
Chemistry
|
\( \boldsymbol{P}(\boldsymbol{3}, \boldsymbol{4}) \boldsymbol{Q}(\boldsymbol{7},-\boldsymbol{2}) \) and \( \boldsymbol{R}(-\boldsymbol{2},-1) \) are
vertices of \( \triangle P Q R \) write equation of
median
| 2 |
Maths
|
A steady current passes through a wire
of non-uniform cross-section. The
quantities which depend on the Area of
cross-section are:
A. Free electron density
B. Resistivity
C. Drift velocity
D. Charge crossing in a given time interval
| 3 |
Physics
|
A container filled with liquid up to height \( h \) is place on a smooth horizontal
surface. The container is having a small hole at the bottom. As the liquid comes out from the hole, the container moves
in a backward direction with
acceleration \( a \) and finally, when all the liquid is drained out, it acquires a
velocity \( v . \) Neglect mass of the container. In this case
A. both \( a \) and \( v \) depend on \( h \)
B. only a depends on \( h \)
c. only \( v \) depends on \( h \)
D. neither \( a \) nor \( v \) depends on \( h \)
| 3 |
Physics
|
Which of the following structure of eye can be artificially implanted?
A. Cornea
B. Lens
c. Retina
D. Cornea and lens both
| 0 |
Biology
|
During nuclear explosion, one of the products is \( ^{90} \) Sr with half life of 28.1 yr. If \( 1 \mu g \) of \( ^{90} S r \) was absorbed in the
bones of a newly born baby instead of calcium, how much of it will remain
after 10 year and 60 year if it is not lost metabolically.
| 1 |
Chemistry
|
Write the slope of the line whose
inclination is \( 45^{\circ} \)
| 2 |
Maths
|
ff \( f, g: R \rightarrow R \) be two functions defined
as \( \boldsymbol{f}(\boldsymbol{x})=|\boldsymbol{x}|+\boldsymbol{x} \) and \( \boldsymbol{g}(\boldsymbol{x})=|\boldsymbol{x}|-\boldsymbol{x} \) for
all \( x \in R \). Then, find \( f \circ g \) and \( g \circ f \) Hence, find \( \boldsymbol{f} \circ \boldsymbol{g}(-\boldsymbol{3}), \boldsymbol{f} \circ \boldsymbol{g}(\boldsymbol{5}) \) and \( \boldsymbol{g} \)
\( \boldsymbol{f}(-2) \)
| 2 |
Maths
|
\( N_{2} \) molecule contains
and \( \quad \boldsymbol{\pi}- \) bonds
A. one, four
B. three, two
c. one, two
D. none
| 1 |
Chemistry
|
A solid ball is placed on a rough horizontal surface with initial velocity
of its \( C O M \) as \( v_{0} \) and initial angular
velocity \( \omega_{0} \) as shown and given in List 1
| 3 |
Physics
|
Most abundant uncombined element
present in atmosphere is :
A . ca
в. Мв
\( c \cdot A \)
\( D \)
| 1 |
Chemistry
|
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