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In the replacement reaction:
The reaction will be most favourable if
M happens to be:
\[
\frac{\lambda}{\nearrow} \mathrm{CI}+\mathrm{MF} \rightarrow \frac{\searrow}{/} \mathrm{CF}+\mathrm{MI}
\]
\( A \cdot K \)
B. Rb
\( c \cdot L \)
D. Na a
| 1 |
Chemistry
|
In a question on division if four times the divisor is added to the dividend then how will the new remainder change in comparison with the original remainder?
A. Remainder remains unchanged.
B. Remainder increases by 4
c. Remainder decreases by 4.
D. Remainder becomes 4 times the older remainder
| 2 |
Maths
|
\( 4.4 C O_{2} \) gas and 2.24 litre of \( H_{2} \) gas at
S.T.P are taken in a 1 litre container at
27. The total pressure of gases in container will be ?
\( A \cdot 4.926 \) atm
B. 3743.76 mm of Hg
c. \( 1871.88 \mathrm{mm} \) of \( \mathrm{Hg} \)
D. 2.463 atm
| 1 |
Chemistry
|
Give chemical name, formula, and uses
of Washing soda.
| 1 |
Chemistry
|
\( \boldsymbol{O} \)
\( \boldsymbol{P h}-\hat{\boldsymbol{C}}-\boldsymbol{O}-\boldsymbol{C P h}_{3} \frac{\boldsymbol{H}_{3}^{18} \boldsymbol{O} \oplus}{\longrightarrow} \)
Product of this reaction is:
B. \( o^{18} \)
\( P h-C-O H+P h_{3} C-O H \)
c. \( _{\text {I }}^{o} \)
Ph \( -C-O H+P h_{3} C-O H \)
D.
\[
P h-C-O H+P h_{3} C-O H
\]
| 1 |
Chemistry
|
The equation of motion of a rocket are:
\( \boldsymbol{x}=\mathbf{2} \boldsymbol{t}, \boldsymbol{y}=-\boldsymbol{4} \boldsymbol{t}, \boldsymbol{z}=\boldsymbol{4} \boldsymbol{t}, \) where the time
\( t \) is given in seconds and the coordinate
of a moving point in kilometers. At what distance will the rocket be from the
starting point \( O(0,0,0) \) in 10 seconds?
\( \mathbf{A} \cdot 60 \mathrm{km} \)
B. \( 30 \mathrm{km} \)
c. \( 45 \mathrm{km} \)
D. None of these
| 2 |
Maths
|
A hollow sphere of radius 5 cm is
charged such that the potential on its
surface is \( 10 \mathrm{V} \). The potential at the
center of the sphere will be:
\( \mathbf{A} \cdot 0 V \)
B. \( 10 V \)
C. same as at a point \( 5 \mathrm{cm} \) away from the surface
D. same as at point \( 25 \mathrm{cm} \) away from the center
| 3 |
Physics
|
2,4-hexadiyne \( \left(C_{6} H_{6}\right) \) is allowed to
react with \( L i \) in \( N H_{3}(\text { liq }) . \) The product obtained is treated with 1 equivalent of \( C l_{2} C C l_{4} . \) Which of the following constitutional isomers are possible products?
A . I and II
B. II and II
c. I and IV
D. I and III
| 1 |
Chemistry
|
The displacement of a particle is given by \( \boldsymbol{y}=\left(6 t^{2}+3 t+4\right) m, \) where \( t \) is in
seconds. Calculate the instantaneous
speed of the particle.
A . 12
B. \( 12 t+3 \)
c. \( 12 t+4 \)
D. \( 3 t+3 \)
| 2 |
Maths
|
Interstitial compounds are:
A. non-stoichiometric and are ionic in nature
B. non-stoichiometric and are covalent in nature
C. non-stoichiometric and are neither typically ionic nor covalent in nature
D. stoichiometric and are neither ionic nor covalent in
nature
| 1 |
Chemistry
|
Which of the following options correctly
represents the lungs conditions in
asthma and emphysema respectively?
A. Increased respiratory surface and inflammations of bronchioles
B. Inflammations of bronchioles, and decreased respiratory surface
C. Decreased respiratory surface, and inflammations of bronchioles
D. Increased number of bronchioles, and increased respiratory surface
| 0 |
Biology
|
The speed of sound in solid, liquid and gas can be correctly compared as:
A. solid >liquid > gas
B. liquid>gas>solidd
c. liquid > solid > gas
D. gas >liquid > gas
| 3 |
Physics
|
Knowing the properties of \( \boldsymbol{H}_{2} \boldsymbol{O} \) and
\( D_{2} O . \) Do you think that \( D_{2} O \) can be
used for drinking purposes?
| 1 |
Chemistry
|
In above fig. \( 2, \) if \( D \) is mid-point of \( B C \) the value of \( \frac{\cot y^{\circ}}{\cot x^{\circ}} \) is:
\( A \)
B. \( \frac{1}{4} \)
\( c \cdot \frac{1}{3} \)
D. 1
| 2 |
Maths
|
Set up equations and solve them to find the unknown numbers in the following
cases:
lbenhal thinks of a number. If she adds
19 to it divides the sum by 5, she will get
8
| 2 |
Maths
|
Which of the following statements concludes that ruminants are
multicellular animals?
A. They have specialized organs for digestion
B. They can reproduce
c. They have lungs for breathing
D. Both A and C
| 0 |
Biology
|
The emissivity of a body of surface area
\( 5 c m^{2} \) and radiating \( 300 \mathrm{J} \) of energy per
minute at temperature \( 727^{\circ} C \) is :
A. 0.48
B. 0.38
\( c \cdot 0.28 \)
D. 0.18
| 3 |
Physics
|
Three moving coil galvanometer \( \boldsymbol{A}, \boldsymbol{B} \) and \( C \) are made of coils of three
different material having torsional constant \( 1.8 \times 10^{-8}, 2.8 \times 10^{-8} \) and
\( 3.8 \times 10^{-8} \) respectively. If the three
galvanometers are identical in all other respect, then in which of the above cases, current sensitivity is maximum?
A. \( A \)
в. \( C \)
\( c . B \)
D. same in each case
| 3 |
Physics
|
A wire of length L and of cross-sectional area A is made of a material of Young's modulus Y. The work done in stretching the wire by an amount \( x \) is given by :
A \( \cdot \frac{Y A x^{2}}{L} \)
в. \( \frac{Y A x^{2}}{2 L} \)
c. \( \frac{Y A L^{2}}{x} \)
D. \( \frac{Y A L^{2}}{2 x} \)
| 3 |
Physics
|
Which of these configuration are
achiral?
\( A \cdot e, \)
B. a,
\( c \cdot d, \)
D. None of these
| 1 |
Chemistry
|
The amorphous form of silica is:
A. Quartz
B. Kieselguhr
c. Cristobalite
D. Tridymite
| 1 |
Chemistry
|
Show that \( \cot ^{-1}\left(\frac{\sqrt{1+\sin x}+\sqrt{1-\sin x}}{\sqrt{1+\sin x}-\sqrt{1-\sin x}}\right)= \)
\( \frac{x}{2} \) for \( x \in\left(0, \frac{\pi}{2}\right) \)
| 2 |
Maths
|
Using the properties of determinants \& without expanding \( \left[\begin{array}{ccc}\boldsymbol{b}+\boldsymbol{c} & \boldsymbol{q}+\boldsymbol{r} & \boldsymbol{y}+\boldsymbol{z} \\ \boldsymbol{c}+\boldsymbol{a} & \boldsymbol{r}+\boldsymbol{p} & \boldsymbol{z}+\boldsymbol{x} \\ \boldsymbol{a}+\boldsymbol{b} & \boldsymbol{p}+\boldsymbol{q} & \boldsymbol{x}+\boldsymbol{y}\end{array}\right]=\boldsymbol{2}\left[\begin{array}{ccc}\boldsymbol{a} & \boldsymbol{p} & \boldsymbol{x} \\ \boldsymbol{b} & \boldsymbol{q} & \boldsymbol{y} \\ \boldsymbol{c} & \boldsymbol{r} & \boldsymbol{z}\end{array}\right] \)
| 2 |
Maths
|
The flying of birds is a proof of
Newton's:
A. First law
B. Second law
c. Third law of motion
D. Both second and third law
| 3 |
Physics
|
m-bromotoluene is prepared by:
This question has multiple correct options
A. bromination of toluene
B. Friedel Craft's reaction of bromobenzene with \( C H_{3} C l \)
C. bromination of nitrobenzene and subsequent replacement of \( -N O_{2} \) group with methyl group
D. bromination of aceto-p-toluidine followed by hydrolysis and deamination
| 1 |
Chemistry
|
Following are the marks obtained by 9 students in Mathematics test:
\( \mathbf{5 0 , 6 9}, \mathbf{2 0 , 3 3 , 5 3 , 3 9 , 4 0 , 6 5 , 5 9 \text { The }} \)
mean deviation from the median is
A . 9
B. 10.5
c. 12.67
D. 14.76
| 2 |
Maths
|
Rusting of iron is an example of
reaction.
| 1 |
Chemistry
|
R.Q. is zero, when the respiratory
substrate is
A. Completely oxidized
B. Incompletely oxidized
c. Not oxidized at all
D. Reduced
| 0 |
Biology
|
On the interval \( \boldsymbol{I}=[-2,2] \),for the
function \( \left\{\begin{array}{ll}(x+1) e^{-\left[\frac{1}{[x]}+\frac{1}{x}\right]} & (x \neq 0) \\ 0 & (x=0)\end{array}\right. \)
(where []\( \text { is } G I F) \) which one of the
following hold good?
This question has multiple correct options
A. is continuous for all values of \( x \in I \)
B. is continuous for all values of \( x \in I-(0) \)
c. assumes all intermediate values from \( f(-2) \) \& \( f(2) \)
D. has a maximum value equal to
| 2 |
Maths
|
If \( \tan \alpha=\frac{m}{m+1} \) and \( \tan \beta=\frac{1}{2 m+1} \)
find the possible values of \( (\boldsymbol{\alpha}+\boldsymbol{\beta}) \)
\( A \cdot 30 \)
B. 90
\( c \cdot 60 \)
D. \( 45^{\circ} \)
| 2 |
Maths
|
Factorize:
\( a^{4}-343 a \)
\( \mathbf{A} \cdot a(a-7)\left(a^{3}+a+36\right) \)
B \( \cdot a(a-7)\left(a^{2}+7 a+49\right) \)
\( \mathbf{c} \cdot a(4 a-7)\left(a^{2}-a+49\right) \)
D. \( a(4 a-7)\left(a^{3}+7 a-36\right) \)
| 2 |
Maths
|
The weakest reducing agent among the following is :
A. hydrogen Gas
B. coke
c. carbon monoxide gas
D. aluminium metal
| 1 |
Chemistry
|
In \( \triangle A B C \) is on isosceles \( \triangle \) with \( A B= \)
\( A C \) and \( D \) in a point on BC such that
\( A D \perp B C . \) Prove that \( \angle B A D=\angle C A D \)
| 2 |
Maths
|
A particle moves along a curve so that
its coordinates at time \( t \) are \( \boldsymbol{x}=\boldsymbol{t}, \boldsymbol{y}= \) \( \frac{1}{2} t^{2}, z=\frac{1}{3} t^{3} \) acceleration at \( t=1 \) is
\( \mathbf{A} \cdot j+2 k \)
B. \( j+k \)
\( c \cdot 2 j+k \)
D. none of these
| 2 |
Maths
|
Define temperature coefficient of
resistance.
| 3 |
Physics
|
A force acts on a body and displaces it
in it's direction. The graph shows the
relation between the force and
displacement. The work done by the force is:
\( \mathbf{A} \cdot 420 J \)
B. \( 360 J \)
c. \( 840 J \)
D. \( 720 J \)
| 3 |
Physics
|
The angular frequency of motion whose equation is \( 4 \frac{d^{2} y}{d t^{2}}+9 y=0 \) is \( (y= \)
displacement and \( t= \) time
A \( \cdot \frac{9}{4} \)
в. \( \frac{4}{9} \)
\( c \cdot \frac{3}{2} \)
D. \( \frac{2}{3} \)
| 3 |
Physics
|
In glycolysis, the end product is
A. Protein is converted into glucose
B. Glucose is converted into glycogen
c. starch is converted into glucose
D. Glucose is converted into pyruvic acid
| 0 |
Biology
|
The potential energy of a particle of
mass \( m \) is given by \( V(x)= \) \( \left\{\begin{array}{cc}\boldsymbol{E}_{0} \mathbf{0} & \leq \boldsymbol{x} \leq \mathbf{1} \\ \mathbf{0} & \boldsymbol{x}>\mathbf{1}\end{array}\right\} \)
\( \lambda_{1} \) and \( \lambda_{2} \) are the de-Broglie
wavelengths of the particle, when \( 0 \leq \)
\( x \leq 1 \) and \( x>1 \) respectively.
If the total energy of particle is \( 2 E_{0} \)
find \( \left(\lambda_{1} / \lambda_{2}\right) \)
| 3 |
Physics
|
The value of the determinant
\( \left|\begin{array}{lll}a_{1} & m a_{1} & b_{1} \\ a_{2} & m a_{2} & b_{2} \\ a_{3} & m a_{3} & b_{3}\end{array}\right| \) is
\( \mathbf{A} \cdot \mathbf{0} \)
В. \( m a_{1} a_{2} a_{3} \)
\( \mathrm{c} \cdot m a_{1} b_{2} a_{2} \)
D. \( m b_{1} b_{2} b_{3} \)
| 2 |
Maths
|
If \( E=16 \) volts, \( r=4 \Omega \) and distance of
balance point \( P \) from end \( A \) is \( 90 \mathrm{cm} \)
then the value of \( X \) is
A . \( 3 \Omega \)
B. \( 6 \Omega \)
\( c .9 \Omega \)
D. \( 12 \Omega \)
| 3 |
Physics
|
The polarising angle for a medium is
found to be \( 60^{\circ} . \) The critical angle of the medium is
A \( \cdot \sin ^{-1}\left(\frac{1}{2}\right) \)
B. \( \sin ^{-1}\left(\frac{\sqrt{3}}{2}\right) \)
\( ^{c} \cdot \sin ^{-1}\left(\frac{1}{\sqrt{3}}\right) \)
D. \( \sin ^{-1}\left(\frac{1}{4}\right) \)
E \( \cdot \sin ^{-1}\left(\frac{2}{\sqrt{3}}\right) \)
| 3 |
Physics
|
Write two difference between
conduction and convection
| 3 |
Physics
|
The order of the differential equation is
\( A \cdot 3 \)
B. 2
\( c \cdot 1 \)
D. None of these
| 2 |
Maths
|
A particle is vibrating simple harmonically with an amplitude \( a \). The
displacement of the particle when its energy is half kinetic and half potential.
A \( \cdot a \)
B. \( \frac{a}{\sqrt{2}} \)
\( c \cdot a \)
D. zero
| 3 |
Physics
|
soil holds highest water capacity
A. sandy
B. Clayey
c. Loamy
D. Both A and C
| 1 |
Chemistry
|
Name of the process is cyanide process, in which we added Zn to soluble
\( \left[\boldsymbol{A} \boldsymbol{g}(\boldsymbol{C N})_{2}\right]^{-} \) to get Ag. If true enter 1
else 0.
| 1 |
Chemistry
|
Calculate \( \left[\boldsymbol{S}^{-2}\right] \) in a solution originally
having \( 0.1 \mathrm{M} H C l \) and \( 0.2 M H_{2} S . \) For
\( \boldsymbol{H}_{2} \boldsymbol{S} \boldsymbol{K} \boldsymbol{a}_{1}=\mathbf{1} . \boldsymbol{4} \times \mathbf{1 0}^{-\mathbf{7}} \) and \( \boldsymbol{K} \boldsymbol{a}_{2}= \)
\( 1.0 \times 10^{-14} \)
A \( .2 .8 \times 10^{-22} M \)
M
В. \( 3 \times 10^{-15} \mathrm{M} \)
\( \mathbf{c} .2 .8 \times 10^{-21} M \)
D. \( 4 \times 10^{-10} M \)
| 1 |
Chemistry
|
If \( \boldsymbol{A}=\left[\begin{array}{rr}\mathbf{4} & \boldsymbol{x}+\mathbf{2} \\ \mathbf{2} \boldsymbol{x}-\mathbf{3} & \boldsymbol{x}+\mathbf{1}\end{array}\right] \) is symmetric
then what is x equal to?
\( \mathbf{A} \cdot \mathbf{5} \)
B. 3
\( c \cdot-1 \)
D. -
| 2 |
Maths
|
Calculate the efficiency of a Carnot engine operating between temperatures of \( 900 \mathrm{K} \) and \( 300 \mathrm{K} \)
A . \( 87 \% \)
B. \( 67 \% \) \%
c. \( 100 \% \)
D. 45 \%
| 3 |
Physics
|
Which of the following acid is used by goldsmiths for cleaning gold and silver
ornaments?
A. \( H C l \)
в. \( H_{2} S O_{4} \)
c. \( H N O_{3} \)
D. \( H_{3} P O_{4} \)
| 1 |
Chemistry
|
If a metal is irradiated with light of
frequency \( 3 \times 10^{19} \mathrm{sec}^{-1}, \) the electron
is emitted with a kinetic energy of \( 6.625 \times 10^{-15} \) J. The threshold
frequency of the metal is
A \( \cdot 2 \times 10^{19} \sec ^{-1} \)
B. \( 1.25 \times 10^{19} \mathrm{sec}^{-1} \)
c. \( 6.625 \times 10^{35} \mathrm{sec}^{-1} \)
D. \( 6.625 \times 10^{19} \sec ^{-1} \)
| 1 |
Chemistry
|
Basement membrane is formed of
A. Epidermal cells
B. Endodermal cells
c. Both A and B
D. None of the above
| 0 |
Biology
|
Which two orbitals are located along the
axis, not between the axis?
\( \mathbf{A} \cdot d_{x^{2}-y^{2}}, d_{z^{2}} \)
B . \( d_{x y}, p_{z} \)
\( \mathbf{c} \cdot d_{y z}, p_{x} \)
D \( \cdot p_{x}, d_{x^{2}-y^{2}} \)
| 1 |
Chemistry
|
The \( I_{1}, I_{2}, I_{3}, I_{4} \) values of an element \( M \)
are \( 120 \mathrm{kJ} / \mathrm{mole}, 600 \mathrm{kJ} / \mathrm{mole}, 1000 \)
kJ/mole and \( 8000 \mathrm{kJ} / \) mole. Then the
formula of its sulphate is:
A. \( M S O_{4} \)
в. \( M_{2}\left(S O_{4}\right)_{3} \)
\( \mathrm{c} \cdot M_{2} \mathrm{SO}_{4} \)
D. \( M_{3}\left(S O_{4}\right)_{2} \)
| 1 |
Chemistry
|
\( \boldsymbol{H}_{2(g)}+\frac{1}{2} \boldsymbol{O}_{2(g)} \rightarrow \boldsymbol{H}_{2} \boldsymbol{O}_{(l)} ; \boldsymbol{\Delta} \boldsymbol{H}= \)
\( -286.2 k J ; H_{2} O_{(l)} \rightarrow H_{(a q)}^{+}+O H_{(a q)}^{-} \)
\( \Delta H=+57.3 k J . \) Enthalpy of ionisation
of \( O H^{-} \) in aqueous solution is:
B . \( +228.5 k J \)
c. \( -343.5 k J \)
D. zero
| 1 |
Chemistry
|
Find the mean deviation about the
median for the following data:
\( \boldsymbol{x}_{i} \quad 3 \quad 6 \quad 9 \quad 12 \)
\[
f_{i} \quad 3 \quad 4 \quad 5 \quad 2
\]
| 2 |
Maths
|
Consider two perfectly elastic spheres
having velocities \( u_{1} \) and \( u_{2} \) in the same
direction and masses \( m \) and \( m^{\prime} . \) When
these two spheres collide, the impulse of the blow on the spheres is
A \( \cdot \frac{2 m m^{1}}{m+m^{1}}\left(u_{1}-u_{2}\right) \)
в. \( \frac{2 m m^{1}}{m-m^{1}}\left(u_{1}-u_{2}\right) \)
c. \( \frac{2 m m^{1}}{m+m^{1}}\left(u_{1}+u_{2}\right) \)
D. \( \frac{2 m m^{1}}{m-m^{1}}\left(u_{1}+u_{2}\right) \)
| 3 |
Physics
|
Addition of \( B H_{3} \) followed by \( H_{2} O_{2} \) to trans - 2 - butene would give you a
product which is:
A . achiral
B. racemic
c. meso
D. optically active
| 1 |
Chemistry
|
\( \cos ^{2} \frac{3 \pi}{5}+\cos ^{2} \frac{4 \pi}{5} \) is equal to
A \( \cdot 4 / 5 \)
B. \( 5 / 2 \)
c. \( 5 / 4 \)
D. \( 3 / 4 \)
| 2 |
Maths
|
On a linear escalator running between
two points \( A \) and \( B, \) a boy takes time \( t_{1} \)
to move from \( A \) to \( B \), if the boy runs with a constant speed on the escalator.
If the boy runs from \( B \) to \( A \), he takes
time \( t_{2} \) to reach \( B \) from \( A \). The time
taken by the boy to move from \( \boldsymbol{A} \) to \( \boldsymbol{B} \) if he stands still on the escalator will be
(The escalator moves from \( \boldsymbol{A} \) to \( \boldsymbol{B} \) )
A \( \cdot \frac{t_{1} t_{2}}{t_{2}-t_{1}} \)
В. \( \frac{2 t_{1} t_{2}}{t_{2}-t_{1}} \)
c. \( \frac{t_{1}^{2}+t_{2}^{2}}{t_{1} t_{2}} \)
D. \( \frac{t_{1}^{2}-t_{2}^{2}}{t_{1} t_{2}} \)
| 3 |
Physics
|
If the radius of a sphere is measured as \( 7 m \) with an error of \( 0.02 m, \) then find the approximate error in calculating its volume
| 2 |
Maths
|
Solve
\( \left|\begin{array}{ccc}1 & 1 & -1 \\ 6 & 4 & -5 \\ -4 & -2 & 3\end{array}\right| \)
| 2 |
Maths
|
The point (2,1) lies in the region of the solution of linear
inequations \( x-2 y \leq 0, \) and \( x-y>0 \)
This question has multiple correct options
A. feasible
B. non-feasible
c. unbounded
D. bounded
| 2 |
Maths
|
Specific heat of a monoatomic gas at
constant volume is \( 315 J k g^{-1} K^{-1} \) and
at a constant pressure is \( 525 J k g^{-1} K^{-1} . \) Calculate the molar
mass of the gas.
| 1 |
Chemistry
|
Endotherms or warm blooded animals
maintain a constant temperature by
A. Insulating coat
B. Changing cutaneous circulation
c. Both A and B
D. Disposing off extra energy as heat
| 0 |
Biology
|
In a dc circuit the power generated per unit volume of the conductor is directly proportional to:
A. current
B. electric filed inside the conductor
c. resistivity of the condutor
D. square of the electric field
| 3 |
Physics
|
Two soap bubbles of different radii are
in contact with each other. Then
A. air follows from the larger bubble into smaller bubble till both bubbles acquire same size
B. air follows from the smaller bubble into larger bubble and the larger bubble grows in size of the smaller bubble
C. air does not flow but the sizes of the bubbles changes
D. sizes of the bubbles remain unchanged
| 3 |
Physics
|
\( \int \frac{1}{1-\cos \frac{x}{2}} d x \)
| 2 |
Maths
|
How many EDTA molecules are required to make an octahedral complex with a
\( C a^{2+} \) ion?
A. Six
B. Three
c. one
D. Two
| 1 |
Chemistry
|
A method for charging a conductor without bringing a charged body in contact with it is called:
A. Magnetization
B. Electrification
c. Electrostatic induction
D. Electromagnetic induction
| 3 |
Physics
|
Which blood vessels carry blood from
heart to body parts?
| 0 |
Biology
|
Which of the following type of life cycle is observed in Saccharomyces cerevisiae?
A. Haplontic
B. Diplontic
c. Haplo-diplontic
D. Diplo-haplontic
| 0 |
Biology
|
In the adjoining figure \( \triangle P Q R \sim \)
\( \triangle \boldsymbol{T} \boldsymbol{S} \boldsymbol{R} \)
ldentify the corresponding vertices, corresponding sides and their ratios.
| 2 |
Maths
|
In which compound oxygen atom take part in conjugation of phenol \( (\boldsymbol{P h}- \)
\( O H) \) and Benzyl alcohol \( \left(P h C H_{2} O H\right) ? \)
A \( . P h O H \)
в. \( P h C H_{2} O H \)
c. Both A and B
D. None of these
| 1 |
Chemistry
|
The height at which the acceleration due to gravity becomes \( g / 9 \) (where \( g= \) the acceleration due to gravity on the
surface of the earth) in terms of \( R \), the
radius of the earth, is
A. \( R / 2 \)
в. \( \sqrt{2} R \)
\( c .2 R \)
D. \( \frac{R}{\sqrt{2}} \)
| 3 |
Physics
|
Which is an incorrect order of basic
strength?
A \( \cdot N H_{2}^{-}>P H_{2} \)
B \( . H_{2} O>H_{2} \)
\( c \)
\( D \)
\( \mathrm{E} \cdot \mathrm{CO}_{3}^{2-}>\mathrm{HCO}_{3}^{-} \)
| 1 |
Chemistry
|
A transparent medium of the angle of
polarisation is \( 60^{\circ} . \) Find the angle of
refraction.
| 3 |
Physics
|
\( _{7} N^{15} \) and \( _{8} O^{16} \) are a pair of :
A. isotopes
B. isobars
c. isotones
D. none of them
| 1 |
Chemistry
|
The function \( x^{5}-5 x^{4}+5 x^{3}-10 \) has a
maximum, when \( \boldsymbol{x}= \)
\( A \cdot 3 \)
B . 2
\( c .1 \)
D.
| 2 |
Maths
|
Transuranic elements begin with:
\( A \cdot N p \)
в. \( \mathrm{cm} \)
c. Pu
D.
| 1 |
Chemistry
|
Pancreas is absent in which group of
vertebrates
A. Reptiles
B. Cyclostomates
c. Birds
D. Mammals
| 0 |
Biology
|
What is global warming? Mention any four measures to control global warming.
| 0 |
Biology
|
The graph of \( x=8 \) represents:
A. line parallel to \( y \) -axis and at a distance of 8 units
B. line parallel to \( x \) -axis and at a distance of 8 units
c. line parallel to \( y \) -axis and at a distance of 0 units
D. None of these
| 2 |
Maths
|
Which of the following is true about
and II?
A. I is eclipsed, II is staggered
B. II is eclipsed, lis staggered
c. both are eclipsed
D. both are staggered
| 1 |
Chemistry
|
Atom bomb consists of pieces of \( ^{92} U_{235} \)
and a source of
A. Proton
B. Neutron
c. Meson
D. Electron
| 3 |
Physics
|
The purpose of the Contact process is to
A. manufacture sulphuric acid
B. manufacture nitric acid
c. manufacture hydrochoric acid
D. manufacture sulphonic acid
| 1 |
Chemistry
|
Give Reasons
A histogram is not a diagram.
| 2 |
Maths
|
\( S O_{2} \) reacts with \( C l_{2} \) to form
| 1 |
Chemistry
|
Inverse of a diagonal non-singular matrix is
A. Scalar matrix
B. Skew symmetric matrix
c. zero matrix
D. Diagonal matrix
| 2 |
Maths
|
If earth is a homogeneous solid sphere
of mass \( M \) and radius \( R \), then
gravitational self potential energy of earth is
\( ^{\mathrm{A}} \cdot-\frac{G M^{2}}{R} \)
в. \( -\frac{G M^{2}}{2 R} \)
c. \( -\frac{3 G M^{2}}{5 R} \)
D. None of these
| 3 |
Physics
|
The minimum mass of water needed to
slake \( 1 k g \) of quicklime, assuming no loss by evaporation, is:
A \( .243 .2 g \)
в. \( 642.8 g \)
c. \( 160.7 g \)
D. \( 321.4 g \)
| 1 |
Chemistry
|
Describe an activity to show that thermoplastic is a poor conductor of
electricity.
| 1 |
Chemistry
|
If \( \boldsymbol{M}=\int_{0}^{\pi / 2} \frac{\cos \boldsymbol{x}}{\boldsymbol{x}+\mathbf{2}} \boldsymbol{d} \boldsymbol{x}, \boldsymbol{N}= \)
\( \int_{0}^{\pi / 4} \frac{\sin x \cos x}{(x+1)^{2}} d x \quad, \) then the value of
\( M-N \) is \( ? \)
\( A \)
в.
c. \( \frac{2}{\pi-4} \)
D. \( \frac{2}{\pi+4} \)
| 2 |
Maths
|
Evaluate
\( \int \frac{d x}{\left(x^{2}+1\right) \sqrt{x^{2}+1}} \)
| 2 |
Maths
|
When we look towards the pole star, it
appears stationary because
A. it is very far from Earth as compared to other stars.
B. it moves with much lesser speed than others stars.
C. it is pointing exactly in the south direction.
D. it is pointing exactly in the north direction.
| 3 |
Physics
|
according to Ruther-fordis atomic
model, the mass of the atom is evenly distributed throughout the atom
A. True
B. False
| 3 |
Physics
|
Protein synthesis commences when
A. mRNA binds to the smaller subunit of Ribosomes
B. mRNA bind to the larger subunit f Ribosome
C. Both smaller and larger sub units binds each other over the mRNA molecule.
D. The adapter RNA recognises the enzymes from cytoplasm.
| 0 |
Biology
|
At large distances from source \( \vec{E} \) and \( \vec{B} \)
are in phase and the decrease in their magnitude is comparatively slower with distance r as per
A \( \cdot r^{-1} \)
B.
\( c \cdot r^{-3} \)
D \( \cdot r^{2} \)
| 3 |
Physics
|
\( f\left(x-\frac{x^{2}}{4}+\frac{x^{3}}{4}-\dots \dots \infty\right)+ \)
\( \cos ^{-1}\left(x^{2}-\frac{x^{4}}{4}+\frac{x^{6}}{4}-\ldots \ldots . . \infty\right)=\frac{\pi}{2} \)
and \( 0<x<\sqrt{2} \) then \( x= \)
A \( \cdot \frac{1}{2} \)
B.
\( c \cdot-\frac{1}{2} \)
D. -
| 2 |
Maths
|
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