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Many metals, like, chromium, molybdenum, cobalt and nickel become inert (chemically unreactive) on adding concentrated:
A. barium sulphate
B. nitric acid
c. caustic soda
D. a solution of bromine in water | 1 | Chemistry |
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Q Type your question
totally reflected internally and is "trapped" within the rod even if it is curved, provided the curvature is not
too great. the rod. is something referred to as a light pipe. A bundle of fine fiber will behave in the same way and has the
advantage of being flexible. The study of the properties of such a bundle is an active field of research known as fiber
optics. A bundle may consist of thousand of individual fibers, each of the order of
0.002 to \( 0.01 \mathrm{mm} \) in diameter. If the fiber
can be assembled in the bundle so that
the relative positions of the ends are the same at both ends, the bundle can transmit an image as shown in Fig.(b) Bundles several km in length have been
made. Device using fiber optics are finding a wide range of applications in medical science. The interior of lungs
and other passage in the human body can be viewed by insertion of a fiber bundle that can be enclosed in a
hypodermic needle for the study of
tissues and blood vessels far beneath
the skin. Despite the enormous technical difficulties of manufacturing fiber-optic components, such system promise to become an extremely important class of optical systems.
(1) what are the losses in fiber optic?
this question has multiple correct options
A. Brillouin zone and Raman scattering
B. polarisation
c. evanscent field
D. diffraction | 3 | Physics |
Chipko-Andolan (Hug the trees movement) is the well known example of conservation of which form of nature?
A. Jungle
B. water
c. coal
D. Petroleum | 0 | Biology |
\( \mathbf{A} \cdot-62.7 k J m o l^{-1} \)
\( \mathbf{B} \cdot-31.4 k J m o l^{-1} \)
\( \mathbf{c} \cdot-15.7 k J m o l^{-1} \)
D. \( -3.14 k J \) mol\( ^{-1} \) | 1 | Chemistry |
\( 3 x^{2}-x-4 \) | 2 | Maths |
phytohormone is responsible for cell elongation and
differentiation of shoots and roots. | 0 | Biology |
Find \( \frac{\boldsymbol{d} \boldsymbol{y}}{\boldsymbol{d} \boldsymbol{x}} \) of the following implicit
functions \( : \boldsymbol{y}^{3}-\boldsymbol{3} \boldsymbol{y}^{2} \boldsymbol{x}=\boldsymbol{x}^{3}+\boldsymbol{3} \boldsymbol{x}^{2} \boldsymbol{y} \) | 2 | Maths |
What are the essential components of an oscillator? Draw its block diagram? | 3 | Physics |
Solve the given equation by the method
of Completion of Squares: \( x^{2}+4 x+ \)
\( \mathbf{4}=\mathbf{0} ? \)
\( A \cdot 2 \)
B. -
\( c \cdot 4 \)
D. -4 | 2 | Maths |
Which of the following phenomena helps in the degradation of complex substances of food into simpler ones?
A. Digestion
B. Ingestion
c. Excretion
D. Assimilation | 0 | Biology |
Solve : \( \left(3 x-\frac{1}{2 y}\right)\left(3 x+\frac{1}{2 y}\right) \) | 2 | Maths |
In an electric bell a flat \( \ldots \). spring brings the armature back to its original position. | 3 | Physics |
The time taken by block to sliding downward from the smooth surface of
an angle \( 45^{\circ}, \) the time taken by block
kept on same type of rough surface is 'n times. Then what is the coefficient of
friction between block and surface?
A \( \cdot\left(1-\frac{1}{n^{2}}\right)^{\frac{1}{2}} \)
B. \( \left(\frac{1}{1-n^{2}}\right)^{\frac{1}{2}} \)
c. \( \left(1-\frac{1}{n^{2}}\right) \)
\( D \cdot\left(\frac{1}{1-n^{2}}\right) \) | 3 | Physics |
A coin is tossed \( 2 n \) times. The chance
that the number of times one gets head is not equal to the number of times one
gets tail is
A \( \cdot \frac{(2 n) !}{(n ! !)^{2}} \cdot\left(\frac{1}{2}\right)^{2} n \)
B. \( _{1-} \frac{(2 n) !}{(n !)^{2}} \)
c. \( _{1-} \frac{(2 n) !}{(n !)^{2}} \cdot \frac{1}{4^{n}} \)
D. none of these | 2 | Maths |
For a cubical block, error in
measurement of sides is \( \pm 1 \% \) and
error in measurement of mass is \( \pm 2 \% \)
then maximum possible error in density is
A . 1\%
B. 5\%
c. अ\%
D. 7\% | 3 | Physics |
The freezing point of a 0.05 molal solution of a non-electrolyte in water is:
\( \mathbf{A} \cdot-0.093^{\circ} \mathrm{C} \)
B . \( 1.86^{\circ} \mathrm{C} \)
\( \mathbf{c} \cdot 0.93^{\circ} \mathrm{C} \)
D. \( 0.093^{\circ} \mathrm{C} \) | 1 | Chemistry |
How does ozone react with the
following?
(i) \( C_{2} H_{4} \)
(ii) Moist \( \boldsymbol{I}^{-} \)
(iii) \( \boldsymbol{H} \boldsymbol{g} \)
(iv) \( \boldsymbol{A} \boldsymbol{g} \) | 1 | Chemistry |
Find the difference of :
\( \frac{1}{12} \) and \( \frac{3}{4} \) | 2 | Maths |
\( (1+i)^{-1} \)
A \( \cdot \frac{1+i}{2} \)
B. \( \frac{1-i}{2} \)
\( \mathbf{C} \cdot 1+i \)
D. \( 1-i \) | 2 | Maths |
Nursing infants of mothers living near hazardous waste sites may be exposed to PAHs through their mother's milk.
A. True
B. False | 1 | Chemistry |
Which of two elements among the following will display the most similar chemical properties?
A. Aluminum and calcium
B. Nickel and phosphorus
c. chlorine and sulfur
D. Carbon and sulfur
E. Lithium and potassium | 1 | Chemistry |
If \( \boldsymbol{\alpha}=\cos 10^{\circ}-\sin 10^{\circ}, \beta=\cos 45^{\circ}- \)
\( \sin 45^{\circ}, \gamma=\cos 70^{\circ}-\sin 70^{\circ} \) then the
descending order of \( \boldsymbol{\alpha}, \boldsymbol{\beta}, \boldsymbol{\gamma} \) is
\( \mathbf{A} \cdot \alpha, \beta, \gamma \)
в. \( \gamma, \beta, \alpha \)
c. \( \alpha, \gamma, \beta \)
\( \mathbf{D} \cdot \beta, \alpha, \gamma \) | 2 | Maths |
Describe briefly with the help of a circuit diagram, how the flow of current
carriers in a \( \boldsymbol{p}-\boldsymbol{n}-\boldsymbol{p} \) transistor is
regulated with emitter-base junction forward biased and base-collector
junction reverse biased. | 3 | Physics |
What type of chemical reaction takes place when i) limestone is heated?
ii) a magnesium ribbon is burnt in air? | 1 | Chemistry |
Six identical particles each of mass \( \boldsymbol{m} \)
are arranged at the corners of a regular hexagon of side length \( L \). If the mass of one of the particle is doubled, the shift in the centre of mass is:
A.
в. \( \frac{6 \mathrm{L}}{7} \)
\( c \cdot \frac{L}{7} \)
D. \( \frac{\mathrm{L}}{\sqrt{3}} \) | 3 | Physics |
Let
\( \boldsymbol{f}(\boldsymbol{x}, \boldsymbol{y})=\left|\begin{array}{lll}\boldsymbol{y}-\boldsymbol{x}^{2} & \boldsymbol{x}-\boldsymbol{y}^{2} & \boldsymbol{x} \boldsymbol{y}-\mathbf{1} \\ \boldsymbol{x}-\boldsymbol{y}^{2} & \boldsymbol{x} \boldsymbol{y}-\mathbf{1} & \boldsymbol{y}-\boldsymbol{x}^{2} \\ \boldsymbol{x} \boldsymbol{y}-\mathbf{1} & \boldsymbol{y}-\boldsymbol{x}^{2} & \boldsymbol{x}-\boldsymbol{y}^{2}\end{array}\right| \)
find \( \boldsymbol{f}(\boldsymbol{2}, \boldsymbol{2}) \) | 2 | Maths |
Colours of rainbow are in VIBGYOR
sequence:
A . True
B. False | 3 | Physics |
A charge \( 10 n C \) is situated in a medium
of relative permittivity 10. The potential due to this charge at a distance of \( 0.1 m \)
is :
\( \mathbf{A} \cdot 900 V \)
в. \( 90 V \)
\( c .9 V \)
D. \( 0.09 V \) | 3 | Physics |
Which of the following bonds has maximum bond length?
A . C-O
B. C-H
c. \( c-c \)
D. C-N | 1 | Chemistry |
The densities of two substances are in
the ratio 1: 2 and their specific heat in
the ratio \( 2: 3 . \) Compare their thermal capacities if their volumes are in the ratio 3: 4 | 3 | Physics |
An organic compound must contain:
A. carbon
B. hydrogen
c. oxygen
D. silicon | 1 | Chemistry |
Of the isomeric hexanes, the isomers
that give the minimum and the maximum number of monochloro
derivatives are respectively:
A. 2,3- dimethylbutane and n- hexane
B. 3- -methylpentane and 2,3- dimethylbutane
c. 2,2 - dimethylbutane and
2 - methylpentane
D. 2,3 - dimethylbutane and
2 - methylpentane
E. 2-methylpentane and 2,2-dimethylbutane | 1 | Chemistry |
Preeti reached the metro station and
found that the escalator was not
working. She walked up the stationary
escalator in time \( t_{1} . \) On other days, if
she remains stationary on the moving
escalator, then the escalator takes her
up in time \( t_{2} . \) The time taken by her
walk up on the moving escalator will be:
\( \mathbf{A} \cdot t_{1}-t_{2} \)
B. \( \frac{t_{1}+t_{2}}{2} \)
\( \mathbf{C} \cdot \frac{t_{1} t_{2}}{t_{2}-t_{1}} \)
D. \( \frac{t_{1} t_{2}}{t_{2}+t_{1}} \) | 3 | Physics |
Which of the following reaction(s) gives a gem-dichloride?
This question has multiple correct options
A. \( C H_{3} C H O \) and \( P C l_{5} \)
в. \( C H_{3} C O C H_{3} \) and \( P C l_{5} \)
c. \( C H_{2}=C H_{2} \) and \( C l_{2} \)
D. \( C H_{2}=C H C l \) and \( H C l \) | 1 | Chemistry |
Prickles of rose are
A. Modified leaves
B. Modified stipules
C. Exogenous in origin
D. Endogenous in origin | 0 | Biology |
A mixture of \( S O_{3}, S O_{2} \) and \( O_{2} \) gases is
maintained in a \( 10 L \) flask at a
temperature at which the equilibrium constant for the reaction is 100 and the
reaction is, \( 2 S O_{2}(g)+O_{2}(g) \rightleftharpoons \)
\( 2 S O_{3}(g) \)
(i) If the number of moles of \( S O_{2} \) and
\( S O_{3} \) in the flask are equal, how many
moles of \( \boldsymbol{O}_{2} \) are present?
(ii) If the number of moles of \( S O_{3} \) in the
flask is twice the number of moles of
\( S O_{2}, \) how many moles of oxygen are
present? | 1 | Chemistry |
Which of the following is an ideal fuel?
A. coal
B. LPG
c. Petrol
D. None of these | 1 | Chemistry |
The Lanthanoid contraction refers to:
A. valence electrons of the Lanthanide series
B. ionic radius of the series
C . the density of the series
D. nuclear mass of the series | 1 | Chemistry |
\( E C \) of \( G d(64) \) is written as:
A \( \cdot[X e]_{54} 4 f^{7} 5 d^{1} 6 s^{2} \)
В \( \cdot[X e]_{54} 4 f^{8} 8 s^{2} \)
\( \mathbf{c} \cdot[X e]_{54} 4 f^{9} 6 s^{1} \)
D. \( [X e]_{54} 4 f^{10} \) | 1 | Chemistry |
Which of the following properties can be assigned to water?
I. It has a permanent dipole moment attributed to its molecular structure.
Il. It is a very good conductor of
electricity.
III. It has its polar covalent bonds with hydrogen on opposite sides of the oxygen atom, so that the molecule is
linear
A. I only
B. III only
c. I and II only
D. II and III only
E . I, II and III | 1 | Chemistry |
If \( n=4 m+3, m \) is an integer, then \( i^{n} \)
is equal to:
A . \( -i \)
B.
\( c . i \)
D. - | 2 | Maths |
Determine the length of the chord common to the circles \( x^{2}+y^{2}= \)
\( 64 a n d x^{2}+y^{2}-16 x=0 \)
A \( \cdot 2 \sqrt{3} \)
B. \( 4 \sqrt{3} \)
\( c \cdot 6 \sqrt{3} \)
D. \( 8 \sqrt{3} \) | 2 | Maths |
\( \int 3^{x} \cos 5 x d x= \)
A. \( \frac{3^{x}}{(\log 3)^{2}+25}[(\log 3) \cdot \cos 5 x-5 \sin 5 x]+c \)
B. \( \frac{3^{x}}{(\log 3)^{2}+25}[(\log 3) \cdot \cos 5 x+5 \sin 5 x]+c \)
C. \( \frac{3^{x}}{(\log 3)^{2}+25}[5 \cos 5 x-(\log 3) \cdot \sin 5 x]+c \)
D. \( \frac{3^{x}}{(\log 3)^{2}+25}[5 \cos 5 x+(\log 3) \cdot \sin 5 x]+c \) | 2 | Maths |
Match the terms to these definitions.
Trypanosoma, euglenoid, formaminiferan, isogamy, plankton, plasmodial slime mold, Protista, pseudopod, sporozoan, trichocyst, Dinoflagellate Includes all unicellular eukaryotic
organisms. | 0 | Biology |
Choose the wrong statements from the following.
Two spheres made of the same material have the same diameter. One sphere is
hollow and the other is solid. If they are
heated through the same range of
temperature, Then:
This question has multiple correct options
A. Both spheres will expand equally.
B. Hollow sphere will expand more than solid one
c. solid sphere will expand more than hollow one
D. Solid sphere will expand three times that of hollow sphere | 3 | Physics |
Identity the acid which gives \( C O \) and
\( C O_{2} \) on reaction with \( H_{2} S O_{4} \)
A. Oxalic acid
B. Formic acid
c. Nitric acid
D. Hydrochloric acid | 1 | Chemistry |
The ignition temperature of an ideal fuel should
A. Lowest
B. Highest
c. Neither too high nor too low
D. None of the above | 1 | Chemistry |
The initial velocity of a particle \( (\operatorname{at} t=0 \)
is \( u \) and the acceleration by \( f \) of
particle at time \( t \) is given \( \boldsymbol{f}=\boldsymbol{a t} . \) Where
\( a \) is a constant which of the following
relation for velocity \( v \) of particle after time \( t \) is turn
A \( \cdot v=u+a t^{2} \)
B. \( v=u+\frac{a t^{2}}{2} \)
c. \( v=u+a t \)
D. \( v=u \) | 3 | Physics |
A sinusoidal voltage of peak value \( 293 \mathrm{V} \) and frequency \( 50 \mathrm{Hz} \) is applied to a series LCR circuit in which \( \mathrm{R}=6 \Omega, \mathrm{L} \)
\( =25 \mathrm{mH} \) and \( \mathrm{C}=750 \mu \mathrm{F} \). The impedance
of the circuit is:
A. \( 7.0 \Omega \)
B. \( 8.9 \Omega \)
\( c \cdot 9.9 \Omega \)
D. 10.0 \( \Omega \) | 3 | Physics |
Which law of Newton defines an 'inertial
frame of reference'?
A. First law of motion
B. Second law of motion
c. Third law of motion
D. Law of gravitation | 3 | Physics |
Clouds are colloidal dispersions of :
A. water in air
B. air in water
C. air in solid
D. solid in air | 1 | Chemistry |
The boiling point of a compound is raised by increase in:
A. intermolecular hydrogen bonding
B. high volatility
c. intramolecular hydrogen bonding
D. non-polarity | 1 | Chemistry |
A velocity - time graph is shown above
in figure (i) and (ii) find the
acceleration and displacement | 3 | Physics |
Vector \( \underset{A}{A} \) has a magnitude of 6 units and is in the direction of \( +x a x i s . \) Vector
\( \vec{B} \) has a magnitude of 4units lies in
the \( x \) -y plane making an angle of \( 30^{\circ} \) with \( +x-a x i s . \) Find the vector
product \( \underset{A}{A} \times \frac{ }{B} \) | 3 | Physics |
Column 1
a) A linear S.H.M
e) \( \frac{d^{2} \Theta}{d t^{2}}=\frac{c}{\Theta} \)
b) Angular S.H.M
f) \( \frac{d^{2} x}{d t^{2}}+ \)
\( \frac{\boldsymbol{R}}{\boldsymbol{m}} \frac{\boldsymbol{d} \boldsymbol{x}}{\boldsymbol{M} \boldsymbol{t}}+\boldsymbol{x} \boldsymbol{w}^{2}=\frac{\boldsymbol{F}}{\boldsymbol{m}} \cos \boldsymbol{\theta} \)
c) Damped harmonic
motion
g) \( \frac{d^{2} x}{d t^{2}}- \)
\( \frac{k}{m} x=0 \)
d) forced oscillation
h) \( m \frac{d^{2} x}{d t^{2}}+ \)
\( R \frac{d n}{d t}+m x \omega^{2}=0 \)
A. a-e, \( b-h, c-g, d-f \)
B. \( a-f, b-g, c-e, d-h \)
\( c \cdot a-g, b-e, c-h, d-f \)
D. a-g, b-h, c-e, d-f | 3 | Physics |
A wire mesh consisting of very small squares is viewed at a distance of \( 8 \mathrm{cm} \) through a magnifying converging lens of focal length \( 10 \mathrm{cm}, \) kept close to the eye. The magnification produced by the lens is.
A. 5
B. 8
\( c \cdot 10 \)
D. 20 | 3 | Physics |
\( \sum_{i=l}^{n}\left(x_{i}-a\right)= \)
\( ^{\mathrm{A}} \cdot \sum_{i=l}^{n} x_{i}-n a \)
В. \( _{n a-\sum_{n}^{i=l} x_{i}} \)
c. \( _{n a-\sum_{n}^{i=l} x_{i}+n a} \)
D. None of these | 2 | Maths |
If \( D \) is any point on the side \( B C \) of \( \Delta A B C \) such that \( \Delta A D B \) and \( \Delta A D C \)
are equal in area, then
A. AD is the median
B. AD is the altitude
c. AD is an angle bisector
D. AD is any line | 2 | Maths |
According to Watson-Crick model hydrogen bonding in a double-stranded
DNA occurs between.
A. Adenine and guanine
B. Adenine and thymine.
c. cytosine and adenine.
D. Guanine and thymine. | 0 | Biology |
\( 2 S O_{2}(g)+O_{2}(g) \leftrightharpoons 2 S O_{3}(g) \)
Given that the equilirbium constant for
the reaction above has a value of 278 at
a particular temperature, what is the value of equilibrium constant for the following reaction at same temperature?
\( \boldsymbol{S O}_{3}(\boldsymbol{g}) \rightleftharpoons \boldsymbol{S} \boldsymbol{O}_{2}(\boldsymbol{g})+\frac{1}{2} \boldsymbol{O}_{2}(\boldsymbol{g}) \)
A \( \cdot 1.3 \times 10^{-5} \)
B . \( 1.8 \times 10^{-3} \)
c. \( 3.6 \times 10^{-3} \)
D. \( 6 \times 10^{-2} \) | 1 | Chemistry |
If \( \boldsymbol{I}=\int_{0}^{1} \frac{\boldsymbol{e}^{t}}{\mathbf{1}+\boldsymbol{t}} \) dt, then \( \boldsymbol{p}= \)
\( \int_{0}^{1} e^{t} \log (1+t) d t= \)
\( A \)
B. \( 2 I \)
c. \( e \log 2-I \)
D. none | 2 | Maths |
Two long straight wires of length \( l \) lie parallel to one another and carry currents opposite to one another of
magnitudes \( i_{1} \) and \( i_{2} \) respectively.
The force experienced by each of the straight wires is \( (r \) is the distance of
their separation)
A . repulsive and equal to \( \left(\mu_{0} / 2 \pi\right)\left(i_{1} i_{2} l / r\right) \)
B. attractive and equal to ( \( \left.\mu_{0} / 2 \pi\right)\left(i_{1} i_{2} l^{2} / r\right) \)
c. repulsive and equal to \( \left(\mu_{0} / 2 \pi\right)\left(i_{1} i_{2} l^{2} / r\right) \)
D. attractive and equal to \( \left(\mu_{0} / 2 \pi\right)\left(i_{1} i_{2} l / r\right) \) | 3 | Physics |
If \( \cos \Theta_{1}+\cos \Theta_{2}+\cos \Theta_{3}=3, \) find
\( \sin \Theta_{1}+\sin \Theta_{2}+\sin \Theta_{3} \)
\( \mathbf{A} \cdot \mathbf{0} \)
B.
\( c \cdot 2 \)
D. 3 | 2 | Maths |
The excitation energy of a hydrogen like ion to first excited state is \( 40.8 \mathrm{eV} \). The
energy needed to remove the electron
from the ion the ground state is
A. 54.4 ev
B. 62.6 ev
c. \( 72.6 \mathrm{ev} \)
D. 58.6 ev. | 3 | Physics |
The shortest possible time required by
the boat to cross the river will be:-
A. 125 sec
B. 250 sec
C . 500 sec
D. \( \frac{250}{\sqrt{3}} \) sec | 3 | Physics |
The external pressure exerted on the fluid is transmitted uniformly. Is the statement True or false
A. True
B. False | 3 | Physics |
Which of the following is not true about
feasibility?
A. It cannot be determined in a graphical solution of an LPP
B. It is independent of the objective function
C. It implies that there must be a convex region satisfying all the constraints
D. Extreme points of the convex region gives the optimum solution. | 2 | Maths |
In which of the following case(s), the
angular momentum is conserved?
This question has multiple correct options
A. The planet Neptune moves in elliptical orbit around the sun with sun at one focus
B. A solid sphere rolling on an inclined plane
C. An electron revolving around the nucleus in an elliptical orbit
D. An \( \alpha \) particle approaching a heavy nucleus from sufficient distance. | 3 | Physics |
Assertion: \( P_{2} O_{3} \) is more basic than
\( N_{2} O_{3} \)
Reason: Metallic nature of the oxides
increases down the group.
A. Both Assertion and Reason are true and Reason is the correct explanation of Assertion
B. Both Assertion and Reason are true and Reason is not the correct explanation of Assertion
c. Assertion is true and Reason is false
D. Assertion is false but Reason is true | 1 | Chemistry |
If \( p, q, r \) are positive and are in A.P., then the roots of the quadratic equation
\( p x^{2}+q x+r=0 \) are real for
A \( \cdot\left|\frac{r}{p}-7\right| \geq 4 \sqrt{3} \)
В \( \cdot\left|\frac{p}{r}-7\right|<4 \sqrt{3} \)
c. all \( p \) and \( r \)
D. no \( p \) and \( r \) | 2 | Maths |
Find the distance of the point (2,3,5) from the \( x y- \) plane | 2 | Maths |
If the displacement of a particle varies
with time as \( \sqrt{x}=t+7, \) which of the
following statements is(are) true?
This question has multiple correct options
A. Velocity of the particle is inversely proportional to \( t \).
B. Velocity of the particle is proportional to \( t \)
C. Velocity of the particle is proportional to \( \sqrt{t} \)
D. The particle moves with a constant accelera | 3 | Physics |
Assertion
According to Mendeleev's periodic law;
The properties of elements are the
periodic a function of their atomic
numbers.
Reason
Mendeleev's periodic law could explain
the phenomenon of anomalous pairs.
A. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
B. Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion
C. Assertion is correct but Reason is incorrect
D. Both Assertion and Reason are incorrect | 1 | Chemistry |
In uniform electric field, \( \boldsymbol{E}=\mathbf{1 0} \boldsymbol{N} \boldsymbol{C}^{-1} \)
as shown in figure.
Find. \( (\mathrm{i}) \boldsymbol{V}_{\boldsymbol{A}}-\boldsymbol{V}_{\boldsymbol{B}} \)
(ii) \( V_{B}-V_{C} \)
A . -10,20
B. 30,50
\( c .-20,30 \)
D. 40,50 | 3 | Physics |
\( \int \frac{\cos ^{2} x}{\sin ^{4} x} d x \)
A. \( -\frac{1}{3} \tan ^{3} x \)
B. \( \frac{1}{3} \cot ^{3} x \)
C. \( -\frac{1}{3} \cot ^{3} x \)
D. \( \frac{1}{3} \tan ^{3} x \) | 2 | Maths |
The phenomenon of electromagnetic
induction is
A. the process of charging a sphere
B. the process of producing magnetic field in a coil
C. the process of producing induced current in a coil whenever there is a relative motion between the coil
and the magnet
D. the process of producing cooling effect | 3 | Physics |
\( 2 n \) boys are randomly divided into two
subgroups containing \( n \) boys each. The
probability that the two tallest boys are in different groups is
A \( . n /(2 n-1) \)
B. \( (n-1) /(2 n-1) \)
c. \( (n-1) / 4 n^{2} \)
D. None of these | 2 | Maths |
Assertion
All \( \boldsymbol{F}-\boldsymbol{S}-\boldsymbol{F} \) angles in \( \boldsymbol{S} \boldsymbol{F}_{4} \) is greater
than \( 90^{\circ} \) but lesser than \( 180^{\circ} \)
Reason
The lone pair-bond pair repulsion is stronger than bond pair-bond pair repulsion.
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 |
If a wire is bent into the shape of a
square, then the area enclosed by the square is \( 81 \mathrm{cm}^{2} \). When the same wire
is bent into a semi-circular shape, then the area enclosed by the semi circle will be
\( \mathbf{A} \cdot 81 c m^{2} \)
B. \( 44 \mathrm{cm}^{2} \)
\( \mathbf{c} \cdot 77 c m^{2} \)
D. \( 154 c m^{2} \) | 2 | Maths |
The sex of a child is determined by the
A. Chromosome of the father
B. Chromosome of the mother
c. Rh factor of the parents
D. Blood group of the father | 0 | Biology |
The standard electrode potential \( \boldsymbol{E}_{l_{2} / r}^{o}, \quad \boldsymbol{E}_{B r^{-} / B r_{2}}^{0} \quad \) and \( \quad \boldsymbol{E}_{\boldsymbol{F} e / F e^{2+}}^{0} \) are
respectively \( +0.54 \mathrm{V},-1.09 \mathrm{V} \) and \( 0.44 \mathrm{V} . \) On
the basis of above data which of the
following process is non spontaneous?
\( \mathbf{A} \cdot B r_{2}+2 I^{1} \rightarrow 2 B r+I_{2} \)
B. \( F e+B r_{2} \longrightarrow F e^{2+}+2 B r \)
C. \( F e+I_{2} \longrightarrow F e^{2+}+2 I^{-} \)
D. \( I_{2}+B r \longrightarrow 2 I^{-}+B r_{2} \) | 1 | Chemistry |
A light ray is incident perpendicular to
one face of a \( 90^{0} \) prism and is totally intemally reflected at the glass-air
interface. If the angle of reflection is \( 45^{\circ} \)
we conclude that the refractive index n
4
B \( . n>\sqrt{2} \)
\( c \cdot n>\frac{1}{\sqrt{2}} \)
D. \( n<\sqrt{2} \) | 3 | Physics |
Simplify using associative property :
\( \frac{-8}{9} \times\left(\frac{27}{32} \times \frac{-8}{21}\right) \)
A \( \cdot \frac{2}{7} \)
B. \( \frac{-2}{7} \)
\( c \cdot \frac{-8}{21} \)
D. \( \frac{-3}{4} \) | 2 | Maths |
Match the Column I with Column II.
Column I
(Physical
quantity) Column II
(Dimensional
formula) (Dimensio
formula)
(A) Premittivity
of free
space
\( (p) \)
\( \left[M^{0} L^{0} T^{-1}\right] \)
(В) \( \left[M L^{3} T^{-3} A^{-2}\right] \)
(C) \( \begin{array}{ll}\text { Radiant flux } & \text { (q) } \\ \text { Resistivity } & \text { (r) } \\ \text { Hubble } & \text { (s) } \\ \text { constant } & \text { (s) }\end{array} \) \( \left[\mathrm{M} \mathrm{L}^{2} \mathrm{T}^{-3}\right] \) A
(D) (s) \( \quad\left[M^{-1} L^{-3} T^{4} A^{2}\right] \)
\( A \cdot A-p, B-q, C-r, D-s \)
B. \( A-q, B-p, C-s, D-r \)
C. \( A-s, B-r, C-q, D-p \)
\( D \cdot A-r, B-s, C-q, D-p \) | 3 | Physics |
What two metals are often used in
electrochemical cells?
A. zinc and copper
B. Zinc and sulfur
c. carbon and copper
D. zinc and carbon
E. Sulfur and copper | 1 | Chemistry |
A d-block element has total spin value
of \( +3 . \) Then, the spin only magnetic moment of the element is
approximately:
A. 2.83 В.M.
B. 3.87 В.М.
c. 5.9 в.М
D. 6.93 В.М. | 1 | Chemistry |
Purification of alumina takes place by
A. Bosch process
B. Hall's process
c. Hoope's process
D. Quartation process | 1 | Chemistry |
Sol is a type of a colloidal in which:
A. solid is dispersed in liquid
B. liquid is dispersed in solid
C . gas is dispersed in liquid
D. solid is dispersed in solid | 1 | Chemistry |
If the ordered pairs \( (a-3, a+2 b) \) and
\( (3 a-1,3) \) are equal, find the value of
\( a+b \) | 2 | Maths |
It is possible to write down the
electronic configuration of an atom if we know its atomic numbers.Why this
is so? | 1 | Chemistry |
If \( \mathbf{A} \) and \( \mathbf{B} \) are two square matrices
such that \( \mathbf{B}=-\mathbf{A}^{-1} \mathbf{B} \mathbf{A} \) then \( (\mathbf{A}+ \)
\( \mathbf{B})^{2}= \)
A . 0
B. \( A^{2}+B^{2} \)
c. \( A^{2}+2 A B+B^{2} \)
D. \( A+B \) | 2 | Maths |
The volatility of \( H F \) is low because of:
A. its low polarizability
B. the weak dispersion interaction between the molecules
c. its small molecular mass
D. its strong hydrogen bonding | 1 | Chemistry |
Find the interaction force of two coils
with magnetic moments \( \boldsymbol{p}_{1 m}=\mathbf{4 . 0} \boldsymbol{m} \boldsymbol{A} \)
\( -m^{2} \) and \( p_{2 m}=6.0 m A-m^{2} \) and
collinear axes if the separation between the coils is equal to \( l=20 \mathrm{cm} \) which
exceeds considerably their linear dimensions.
A . 9
B. 5
c. 8
D. 10 | 3 | Physics |
\( \cos ^{-1}\left[\cos \left(\left(-\frac{17}{15}\right) \pi\right)\right] \) is equal to
A \( \cdot \frac{17 \pi}{15} \)
в. \( \frac{13 \pi}{15} \)
\( c \cdot \frac{3 \pi}{15} \)
D. \( -\frac{17 \pi}{15} \) | 2 | Maths |
||\( \vec{a}|=3,| \vec{b}|=4,| \vec{c} \mid=5, \vec{a} \perp(\vec{b}+ \)
\( \vec{c}), \vec{b} \perp(\vec{c}+\vec{a}) \) and \( \vec{c} \perp(\vec{a}+\vec{b}) \) then
\( \sqrt{2}|\vec{a}+\vec{b}+\vec{c}| \) is equal to | 2 | Maths |
Find the values of \( x \) for which the angle between the vectors \( \vec{a}=x \hat{i}-3 \hat{j}-1 \hat{k} \) and \( \vec{b}=2 x \hat{i}+x \hat{j}-1 \hat{k} \) is acute and
the angle between the vector b and \( y- \) axis is obtuse.
\( \mathbf{A} \cdot x<0 \)
B . \( x>0 \)
c. \( _{x}<\frac{1}{2} \)
D. \( x>\frac{1}{2} \) | 2 | Maths |
What will be the ratio of temperatures of sun and moon if the wavelengths of their maximum emission radiations
rates are \( 140 A^{\circ} \) and \( 4200 A^{\circ} \)
respectively:
\( \mathbf{A} \cdot 1: 30 \)
B. 30: 1
c. 42: 14
D. 14: 42 | 3 | Physics |
The sequence \( \boldsymbol{S}=\boldsymbol{i}+\boldsymbol{2} \boldsymbol{i}^{2}+\boldsymbol{3} \boldsymbol{i}^{3}+\ldots \ldots \)
upto 100 times simplifies to where \( i= \) \( \sqrt{-1} \)
A. \( 50(1-i) \)
B . 25
c. \( 25(1+i) \)
D. \( 100(1-i) \) | 2 | Maths |
One natural source of atmospheric \( C O_{2} \)
is precipitation reaction such as the precipitation of silicates in the oceans:
\( M g^{2+}(a q)+S i O_{2}(\text {dispersed})+ \)
\( 2 H C O_{3}(a q) \rightarrow M g S i O_{3}(s)+ \)
\( \mathbf{2} C O_{2}(\boldsymbol{g})+\boldsymbol{H}_{2} \boldsymbol{O}(\boldsymbol{l}) \)
How many grams of magnesium silicate would be precipitated during
the formation of 100 L of \( C O_{2} \) at \( 30^{\circ} C \)
and 775 torr?
\( (M g=24, S i=28, C=12, O=16) \)
A \( .102 g \)
в. \( 410 g \)
c. \( 205 g \)
D. \( 51 g \) | 1 | Chemistry |
Solve \( \frac{\mathbf{3}}{\mathbf{1 1}}+\boldsymbol{x}=\frac{\mathbf{9}}{\mathbf{1 1}} \) for the value of \( \boldsymbol{x} \) | 2 | Maths |
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