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A system consists of mass \( M \) and \( m \)
The centre of mass of the system is:
A. nearer to \( m \)
B. at the position of large mass.
c. nearer to \( M \)
D. at the middle | 3 | Physics |
A young man has to hold a book at arm's length to be able to read it clearly. The defect of vision is:
A. astigmatism
B. myopia
c. presbyopia
D. hypermetropia | 3 | Physics |
Initiate chemical change without themselves undergoing any permanent change
A . Reactants
B. Catalyst
c. Products
D. All of above | 1 | Chemistry |
Phosgene and Phosphine both are poisonous.
If true enter 1 , else enter 0 . | 1 | Chemistry |
For a planet revolving around the sun, when it is nearest to the sun (K.E. -
kinetic energy, P.E. - Potential energy)
A. K.E. is minimum and P.E. is maximum.
B. Both K.E. and P.E. are minimumm
c. K.E. is maximum. and P.E. is minimum
D. K.E. and P.E. are equal | 3 | Physics |
Which cell is normally produced as a
direct result of meiosis?
A. A uterine cell having half the normal species number of chromosomes
B. An egg having the full species number of chromosomes.
C. A zygote having the full species number of chromosomes.
D. A sperm having half the normal species number of chromosomes. | 0 | Biology |
The branch of science that studies
extraction, purification of metals and preparation of alloys is called:
A. metallurgy
B. solid state physics
c. particle physics
D. electrochemistry | 1 | Chemistry |
\( \overline{\boldsymbol{x}}=(\mathbf{1}, \mathbf{1}, \mathbf{1}) \overline{\boldsymbol{y}}=(\mathbf{4}, \mathbf{3}, \mathbf{4}) \boldsymbol{a} \boldsymbol{n} \boldsymbol{d} \bar{z}= \)
\( (1, \alpha, \beta) \) are linearly dependent vectors
and \( |\bar{z}|=\sqrt{3}, \) then findaand \( \beta \) | 2 | Maths |
The greatest value of the term independent for \( x \) in the expansion of
\( \left(x \sin p+x^{-1} \cos p\right)^{10}, p \in R, \) is
\( A \cdot 2^{5} \)
в. \( \frac{10 !}{(5 !)^{2}} \)
c. \( \frac{1}{2^{5}} \cdot \frac{10 !}{(5 !)^{2}} \)
D. None of the above | 2 | Maths |
The boiling point of water in Kelvin scale
is:
A . \( 73.15 K \)
В. \( 173.15 K \)
c. \( 273.15 K \)
D. \( 373.15 K \) | 3 | Physics |
If \( g \) is the inverse function of \( f \) and \( f^{\prime}(x)=\frac{1}{1+x^{n}}, \) then \( g^{\prime}(x) \) is equal to
A \( \cdot 1+[g(x)]^{n} \)
в. \( 1-g(x) \)
c. \( 1+g(x) \)
D \( \cdot-g(x)^{n} \) | 2 | Maths |
Which of the following statements are true in the context of a compound Microscope?
(A) Each lens produces a virtual and inverted image
(B) The objective has a very short focal length
(C) The eyepiece is used as a simple magnifying glass
(D) The objective and eyepiece are convex and concave lenses respectively
\( A \cdot(A),(B) \) and \( (D) \)
B. (B) and (C)
\( c \cdot(A),(C) \) and \( (D) \)
D. (B) and (D) | 3 | Physics |
An organic compound 'A' produces a gas with brisk effervescence when
sodium bicarbonate is added to it. The
compound 'A' contains same number of
carbons as in ethane. The compound 'A'
reacts with ethanol to form a sweet
smelling compound 'C' in presence of
conc. \( \boldsymbol{H}_{2} \boldsymbol{S} \boldsymbol{O}_{4} \) acid. Then the name of
compound \( A \) and the gas evolved is:
A. ethanoic acid; \( C O_{2} \)
B. methanoic acid; \( C O_{2} \)
C . ethanoic acid; \( H_{2} \)
D. methanoic acid; \( H_{2} \) | 1 | Chemistry |
Assertion
In an ideal thermodynamically reversible process, the energy from work performed by or on the system would be maximized, and that from heat would
be minimized.
Reason
A reversible process is a process whose direction can be "reversed" by inducing infinitesimal changes to some property of the system via its surroundings, while not increasing entropy.
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 | 3 | Physics |
Q Type your question
in it. On testing, at the time of packing, it was noted that there are some faulty pieces in the packets. The data is as
below:
No. of faulty \( \quad \) Number of packets devices in a packet Nun s packe 0 300
1 If 100
2
3 30
4 20
f packets 500 Total number of
If one packet is drawn from the box, what
is the probability that all the four devices in the packet are without any fault?
A . 0.3
в. 0.75
c. 0.6
D. 0.95 | 2 | Maths |
Evaluate \( \int \frac{(x+\sqrt{1+x^{2}})^{15}}{\sqrt{1+x^{2}}} d x \)
A. \( \frac{(x+\sqrt{1+x^{2}})^{14}}{14}+C \)
B. \( \frac{(x+\sqrt{1+x^{2}})^{15}}{15}+C \)
c. \( \frac{(x+\sqrt{1+x^{2}})^{16}}{16}+C \)
D. \( \frac{(x+\sqrt{1+x^{2}})^{17}}{17}+C \) | 2 | Maths |
A filament of Nostoc without its
mucilage sheath is called
A. Mycelium
B. Trichome
c. Hypha
D. colony | 0 | Biology |
Show that the function \( |x| \) is not
differentiable at \( x=0 \) | 2 | Maths |
How can you predict the following stages of a reaction by comparing the
value of \( K_{c} \) and \( Q_{c}, \) if no net reaction
occurs.
A. \( Q_{c} \)
в. \( Q_{c}>K_{c} \)
c. \( Q_{c}=K_{c} \)
D. None of the above | 1 | Chemistry |
topp
Q Type your question
from rest for each situation represented
by the graphs, during which situation
was the cart moving fastest after 8
seconds?
4
B
\( c \)
\( D \) | 3 | Physics |
Which is soluble in water:
A . Agc
B. AgBr
\( c \cdot A g \)
D. AgF | 1 | Chemistry |
Which of the following statements
is/are true?
This question has multiple correct options
\( \mathbf{A} \cdot C H_{3}-C H_{2}-C H_{2}-I \) will react more readily than
\( \left(C H_{3}\right)_{2} C H I \) for \( S_{N} 2 \) reactions
B. \( C H_{3}-C H_{2}-C H_{2}-C l \) will react more readily than
\( C H_{3}-C H_{2}-C H_{2}-B r \) for \( S_{N} 2 \) reaction
\( \mathbf{c} \cdot C H_{3}-C H_{2}-C H_{2}-B r \) will react more readily than
\( \left(C H_{3}\right)_{3} C-C H_{2}-B r \) for \( S_{N} 2 \) reactions
D. \( C H_{3}-O-C_{6} H_{4}-C H_{2} B r \) will react more readily
than \( N O_{2}-C_{6} H_{5}-C H_{2}-B r \) for \( S_{N} 2 \) reaction | 1 | Chemistry |
Define sexual reproduction. | 0 | Biology |
The answer to this question is a single digit integer, ranging from 0 to 9
The van't Hoff factor for aqueous
solution of \( C u S O_{4} \cdot 5 H_{2} O \) will be | 1 | Chemistry |
A particle rotates along a circle of radius \( R=\sqrt{2} \mathrm{m} \) with an angular acceleration \( \boldsymbol{\alpha}=\frac{\boldsymbol{\pi}}{\boldsymbol{4}} \boldsymbol{r} \boldsymbol{a} \boldsymbol{d} / \boldsymbol{s}^{2} \) starting
from rest. Calculate the magnitude of average velocity of the particle over the time it rotates a quarter circle. | 3 | Physics |
Gonadotrophic hormones are produced
in the
A. Posterior part of thyroid
B. Adrenal cortex
c. Adenohypophysis of pituitary
D. Interstitial cells of testis | 0 | Biology |
The hybridisation of carbon in diamond, graphite and acetylene is:
B. \( s p, s p^{2}, s p^{3} \)
\( \mathbf{c} \cdot s p^{3}, s p^{2}, s p \)
\( \mathbf{D} \cdot s p^{2}, s p^{3}, s p \) | 1 | Chemistry |
Study the following graph carefully and
answer the question given. In which of the following pairs of companies the difference between
average productions for the three years is maximum?
A. E and
B. D and C
\( c \). E and \( c \)
D. A and E | 2 | Maths |
Which of the following contain elements in the solid, liquid and gas phases at STP?
A. Halogens
B. Alkali metals
c. Alkaline earth metals
D. Noble gases
E. Lanthanides | 1 | Chemistry |
Find \( \frac{d y}{d x} \) of \( a x+b y^{2}=\cos y \) | 2 | Maths |
\( x- \) rays of wavelength \( \lambda \) falls on a
photosensitive surface emitting electrons.Assuming that the work
function of the surface can be
neglected, prove that the de Broglie wavelength of electrons emitted will be \( \sqrt{\frac{h \lambda}{2 m c}} \) | 3 | Physics |
The relation 'is a factor of on the set of
natural numbers is
not
A. reflective
B. symmetric
c. anti symmetric
D. transitive | 2 | Maths |
A child who inherits an Y chromosome
from father will be a girl.
A. True
B. False | 0 | Biology |
The image of a real object in a plane
mirror is always:
A. Virtual
B. Erect
c. Laterally inverted with respect to the object
D. All of these | 3 | Physics |
Which of the following is the cube of odd natural number?
A .32,768
B. 4,096
c. 6,859
D. 1,728 | 2 | Maths |
Find the direction angle of the vector \( \boldsymbol{v}=\mathbf{2}\left(\cos \mathbf{3 0}^{o} \hat{\boldsymbol{i}}+\sin \mathbf{3 0}^{\boldsymbol{o}} \hat{\boldsymbol{j}}\right) \)
A \( .90^{\circ} \)
B. \( 60^{\circ} \)
\( c \cdot 30^{\circ} \)
D. \( 0^{\circ} \) | 2 | Maths |
What is the relation between \( _{8} X^{16} \) and
\( \mathbf{8} \boldsymbol{X}^{\mathbf{1 7}} \mathbf{?} \)
A. Isotopes
B. Isobars
c. Isotones
D. Isoelectronics | 3 | Physics |
Assertion
An object falling from a great height may reach a steady terminal velocity.
Reason
The viscous force on the body is responsible for this steady terminal velocity.
A. Statement I is True and Statement II is True and is a correct explanation of statement
B. Statement lis True and Statement II is True but not a correct explanation of Statement!
c. statement lis True and Statement II is False
D. Statement lis False and Statement II is True | 3 | Physics |
Multiple Correct Answers Type Which of the following pairs has/have the same dimensions?
This question has multiple correct options
A. Reynold number and coefficient of friction
B. Curie and frequency of light wave
c. Latent heat and gravitational potential
D. Planck's constant and torque | 3 | Physics |
A man travels \( 1^{s t} 50 \mathrm{km} \) at \( 25 \mathrm{km} / \mathrm{hr} \)
next \( 40 \mathrm{km} \) with \( 20 \mathrm{km} / \mathrm{hr} \) and then 90
\( \mathrm{km} \) at \( 15 \mathrm{km} / \mathrm{hr} \) Then find his average speed for the whole journey (in \( \mathrm{km} / \mathrm{hr}) \) | 3 | Physics |
A couple of dice rolled. What is the
empirical probability of getting the sum
as \( 5 ? \)
\( A \cdot \frac{3}{2} \)
B. \( \frac{1}{9} \)
\( c \cdot \frac{5}{2} \)
D. \( \frac{7}{2} \) | 2 | Maths |
The function of quick lime mixture is to:
A. Absorb moisture present in sodalime
B. increase the efficiency of soda lime
C. Increase the pH of sodalime
D. Take part in reaction with NaOH | 1 | Chemistry |
Q Type your question
acceleration. As the object moves, the
group measures several quantities about the object's motion. As part of their data analysis, the group plots pairs of quantities in an attempts to understand relationships between their
measurements. In addition to plotting quantities that they directly measured, the group also plots manipulated versions of their measured quantities. The group is ultimately able to describe several linear relationship between
measured and manipulated quantities because several of the plots show
straight-line trends. Three of the pairs of quantities listed below yield a straight-
line graph for the group when plotted against each other. Which one of the following option does NOT yield a straight-line graph when plotted?
A. Time and Speed
B. Displacement and Speed \( ^{2} \)
c. \( \quad \) Time and Displacement
D. speed and Time \( ^{2} \) | 3 | Physics |
A force-time graph for a linear motion is
shown in figure. The linear momentum
gained between oand 6 second is
\( A \cdot 2 N s \)
3. 4 Ns
\( c \cdot 6 N s \)
D. zero | 3 | Physics |
If \( a x^{2}+b x+6=0 \) does not have two
distinct real roots, where \( \boldsymbol{a} \in \boldsymbol{R}, \boldsymbol{b} \in \boldsymbol{R} \)
then the least value of \( 3 a+b \) is
A .4
B. - 1
\( c .1 \)
D. - 2 | 2 | Maths |
Prove the following Identities \( \frac{\tan \alpha+\tan \beta}{\cot \alpha+\cot \beta}=\tan \alpha \tan \beta \) | 2 | Maths |
\( \operatorname{Given} \overrightarrow{\boldsymbol{F}}=(4 \hat{\boldsymbol{i}}+10 \hat{\boldsymbol{j}}) \) and \( \overrightarrow{\boldsymbol{r}}=(5 \hat{\boldsymbol{i}}- \)
\( 3 \widehat{j}) . \) Then torque \( \tau \) is :
A. \( -62 \hat{j} \)
В. \( 62 \bar{k} \)
\( c .48 \hat{i} \)
\( \mathbf{D} \cdot-48 \widehat{k} \) | 3 | Physics |
Using Pt electrodes same quantity of electricity is passed in \( \mathbf{0 . 0 3} M A I C I_{3}, 0.01 M A I C I_{3}, 0.01 M A g \)
solutions. If 0.36 g silver is deposited what is the mass of Al deposited in two
\( A I C I_{3} \) solutions and volume of \( O_{2} \)
evolved at STP in NaOH solution? | 1 | Chemistry |
If the boiling point of ethanol (molecular
weight -46 ) is \( 78^{\circ} C, \) what is the boiling point of diethyl ether (molecular weight=74)?
\( \mathbf{A} \cdot 100^{\circ} C \)
B . \( 70^{\circ} \mathrm{C} \)
\( \mathbf{c} \cdot 86^{\circ} C \)
D. \( 34^{\circ} C \) | 1 | Chemistry |
The maximum displacement of a particle executing SHM from its mean position is \( 2 \mathrm{cm} \) and its time period is 1
s. The equation of its displacement will be
A . \( x=2 \sin 4 \pi t \)
B. \( x=2 \sin 2 \pi t \)
c. \( x=\sin 2 \pi t \)
D. \( x=4 \sin 2 \pi t \) | 3 | Physics |
What is the \( Y \) - intercept for the straight line \( 2 x-3 y=5 ? \)
A \( \cdot \frac{2}{5} \)
в. \( -\frac{5}{3} \)
c. \( -\frac{5}{2} \)
D. \( \frac{1}{2} \) | 2 | Maths |
Which of the following functional groups constitutes the formation of
detergent?
\( A \cdot S O_{3} N a \)
в. \( C O O N a \)
c. СООН
D. \( O H \) | 1 | Chemistry |
Sam invested a certain amount of
money and got back an amount of Rs.
5000. If the bank paid an interest of Rs. \( 2700, \) find the amount Sam invested
A. 1300
в. 2300
c. 4300
D. 3300 | 2 | Maths |
f \( i=0.25 \) amp. in the fig the value of \( R \)
is :-
\( A \cdot 48 \Omega \)
в. \( 12 \Omega \)
c. \( 120 \Omega \)
D. \( 42 \Omega \) | 3 | Physics |
When stearic acid \( \left(C_{18} H_{36} O_{2}\right) \) is added to water, its molecules collect at the
surface and form a monolayer. The cross-sectional area of each stearic
acid molecule is \( 0.21 n m^{2} . \) If \( 1.4 \times \)
\( 10^{-4} g \) of stearic acid is needed to form
a monolayer over water in a dish of diameter \( 20 \mathrm{cm} . \) (The area of the circle
of radius \( r \) is \( \left(\pi r^{2}\right), \) then what is
equivalent of \( 1 g H \) in amu for this value
of Avogadro's number?
A \( \cdot 1.66 \times 10^{-24} g \)
B . \( 3.33 \times 10^{-24} g \)
c. \( 2.5 \times 10^{-24} g \)
D. \( 1 \times 10^{-23} g \) | 1 | Chemistry |
Identify the compounds \( A, B, C, D, E \)
and \( F \) | 1 | Chemistry |
In a reversible chemical reaction having two reactants in equilibrium, if the concentration of the reactants is
doubled then the equilibrium constant will :
A. also be doubled
B. be halved
c. become one-fourth
D. remain the same | 1 | Chemistry |
A letter is known to have come either
from \( \boldsymbol{T} \boldsymbol{A} \boldsymbol{T} \boldsymbol{A} \boldsymbol{N} \boldsymbol{A} \boldsymbol{G} \boldsymbol{A} \boldsymbol{R} \) or \( \boldsymbol{C A L} \boldsymbol{C U T T A} \)
On the envelope just two consecutive
letters \( T A \) are visible. What is the
probability that the letter came from
CALCUTTA?
\( A \cdot \frac{4}{11} \)
B. \( \frac{7}{11} \)
\( c \cdot \frac{2}{11} \)
D. None of these | 2 | Maths |
Which one of the following figures has only one line of symmetry?
A. Rhombus
B. Rectangle
c. Isosceles trapezium
D. Parallelogram | 2 | Maths |
\( \int \frac{x^{3}-x^{2}+x-1}{x-1} d x \) | 2 | Maths |
If \( p \) is the length of the perpendicular from the origin to the line \( \frac{x}{a}+\frac{y}{b}=1 \)
then which of the following is true?
A \( \cdot \frac{1}{a^{2}}+\frac{1}{b^{2}}+\frac{1}{p^{2}}=0 \)
B . \( a^{2}+b^{2}-p^{2}=0 \)
c. \( \frac{1}{a^{2}}-\frac{1}{b^{2}}=\frac{1}{p^{2}} \)
D. \( \frac{1}{a^{2}}+\frac{1}{b^{2}}-\frac{1}{p^{2}}=0 \) | 2 | Maths |
The distillation technique most suited for separating glycerol from spent-lye in the soap industry is :
A. fractional distillation
B. steam distillation
c. distillation under reduced pressure
D. simple distillation | 1 | Chemistry |
\( A \) is known to speak truth 3 times out of
5 times. He throws a dice and reports
that it is a one. Find the probability that it is actually one. | 2 | Maths |
Solve the equation \( |z|=z+1+2 i \)
A \( \cdot \frac{3}{2}+2 i \)
в. \( \frac{3}{2}-i \)
c. \( \frac{3}{2}+i \)
D. \( \frac{3}{2}-2 i \) | 2 | Maths |
The linear magnification for a mirror is the ratio of the size of the image to the size of the object, and is denoted by \( \mathrm{m} \) Then \( m \) is equal to (symbols have their usual meanings).
A. \( \frac{u f}{u-f} \)
B. \( \frac{u f}{u+f} \)
c. \( \frac{f}{u-f} \)
D. None of these | 3 | Physics |
The wire used in the arrangement shown in the figure has a resistance of \( r \Omega \) per metre. The equivalent resistance
between points \( A \) and \( B \) is:
\( ^{A} \cdot\left(\frac{6}{11}\right)^{r} \)
в. \( \frac{2 \pi r}{(\pi+1)} \)
c. \( \frac{6 \pi r}{(16+3 \pi)} \)
D. \( \frac{3 \pi r}{(10+3 \pi)} \) | 3 | Physics |
Which of the following statement is true about resonance.
(A) Resonance is an intramolecular
process.
A. True
B. False | 1 | Chemistry |
In the figure \( 1, \) find the area of the
parallelogram | 2 | Maths |
If \( f_{0}=5 c m, \lambda=600 A^{0}, a=1 \mathrm{cm} \) for \( \mathrm{a} \)
microscope, then what will be its resolving power
A \( .11 .9 \times 10^{5} / m \)
B . \( 10.9 \times 10^{5} / m \)
c. \( 10.9 \times 10^{4} / m \)
D. \( 10.9 \times 10^{3} / m \) | 3 | Physics |
What is the relationship between an electric current and a magnetic field? | 3 | Physics |
A freshly prepared sample of a radioisotopes of half-life \( 1386 s \) has
activity \( 10^{3} \) disintegrations per second.
Given that \( \ln 2=0.693 \), the fraction of the initial number of nuclei (expressed in nearest percentage) that will decay
in the first \( 80 s \) after preparation of the sample is | 3 | Physics |
Oxygen is a neutral gas which supports combustion.
A . True
B. False | 1 | Chemistry |
Choose the wrong option regarding
miniature circuit breaker (MCB)?
A. MCB contains a metal which melts when the current passing through it exceeds a certain value and hence opens the circuit
B. Quick restoration of an MCB is possible just by switching on the operation when a breakdown occurs due to current overload
C. MCB switchess off the circuit automatically when the current passing through it exceeds a certain value
D. None of the above | 3 | Physics |
The degree of dissociation of
\( C a\left(N O_{3}\right)_{2} \) in a dilute aqueous solution containing 7 gm of the salt per 100 gm
of water at \( 100^{\circ} \mathrm{C} \) is 70 per. If the vapour
pressure of water at \( 100^{\circ} \mathrm{C} \) is \( 760 \mathrm{mm} \)
Calculate the vapour pressure of the solution.
A. \( 373.12 \mathrm{mm} / \mathrm{Hg} \)
в. \( 524.89 \mathrm{mm} / \mathrm{Hg} \)
\( \mathbf{c} .746 .24 \mathrm{mm} / \mathrm{Hg} \)
D. \( 1049.6 \mathrm{mm} / \mathrm{Hg} \) | 1 | Chemistry |
Where \( d \) is width of the strips. Fringe visibility is defined as
\( ^{A} \cdot \frac{I_{m a x}-I_{m i n}}{I_{m a x}+I_{m i n}} \)
B. \( \frac{I_{\max }+I_{\min }}{I_{\max }-I_{\min }} \)
c. \( \frac{I_{\max }-I_{\min }}{I_{\max }} \)
D. \( \frac{I_{\max }+I_{\min }}{I_{\max }+I_{\min }} \) | 3 | Physics |
The local minimum value of the
function \( f^{\prime} \) given by \( f(x)=3+|x|, x \epsilon R \)
is.
\( A \cdot 3 \)
B.
\( c \cdot-1 \)
D. | 2 | Maths |
If for \( \boldsymbol{x} \boldsymbol{\epsilon}\left(\mathbf{0}, \frac{\mathbf{1}}{\mathbf{4}}\right), \) the derivative of
\( \tan ^{-1}\left(\frac{6 x \sqrt{x}}{1-9 x^{3}}\right) \) is \( \sqrt{x} \cdot g(x), \) then
\( g(x) \) equals.
A \( \cdot \frac{3}{1+9 x^{3}} \)
в. \( \frac{9}{1+9 x^{3}} \)
c. \( \frac{3 x \sqrt{x}}{1-9 x^{3}} \)
D. \( \frac{3 x}{1-9 x^{3}} \) | 2 | Maths |
The incorrect statement(s) about the
following two compound \( I \) and \( I I \)
is/are:
This question has multiple correct options
A. \( (I I) \) is more acidic than \( (I) \)
B. the resonance effect of phenyl ring with - cooH group is more in \( (I I) \) than in \( (I) \)
C. \( (I I) \) is weaker acid than \( (I) \) because of electron releasing inductive effect of tertiary - butyl group
D. the positive charge of carboxylate anions of \( (I) \) is more delocalized in the benzene ring than the \( (I I) \) compound | 1 | Chemistry |
Compounds of nitrogen, phosphorus and sulphur such as ammonia, phosphoric acid and sulphuric acid are used in fertiliser industry.
Describe contact process for the manufacture of sulphuric acid? | 1 | Chemistry |
saturated solution of \( A g C l \) then which
of the following plot is correct?
\( A \)
B.
\( c \)
\( D \) | 1 | Chemistry |
The blind sac body plan is applicable to members of .......... of kingdom Animalia
A. Porifera
B. Annelida and Arthropoda
c. Cnidaria and Platyhelminthes
D. None of the above | 0 | Biology |
\( \boldsymbol{H} \boldsymbol{P} \boldsymbol{O}_{4}^{2-}+\boldsymbol{H}_{2} \boldsymbol{O} \rightleftharpoons \boldsymbol{H}_{3} \boldsymbol{O}^{+}+\boldsymbol{P} \boldsymbol{O}_{4}^{3-} \)
In the equation above, which compounds are Bronsted bases?
\( \mathbf{A} \cdot H P O_{4}^{3-} \) and \( H_{2} O \)
B. \( H_{2} O \) and \( P O_{4}^{3-} \)
\( \mathrm{c} \cdot H_{3} O^{+} \) and \( H_{2} \mathrm{O} \)
D. \( H P O_{4}^{2-} \) and \( P O_{4}^{3-} \) | 1 | Chemistry |
Which one of the following product is formed during glycolysis of glucose?
A. Pyruvic acid
B. Carbon dioxide
c. citric acid
D. Ethanol | 0 | Biology |
An triangle \( A B C, \) with two base angles
\( 60^{\circ} \) and \( 75^{\circ} \) then find the remaining
angle | 2 | Maths |
Choose the correct statement:
A. Integrated circuits are less efficient in performance at all voltages.
B. Integrated circuits are more efficient in performance at low voltages.
C. Integrated circuits are less efficient in performance at high voltages.
D. Performance of an integrated circuit is independent of the magnitude of applied voltage. | 3 | Physics |
Evaluate \( \int_{0}^{2 / 3} \frac{d x}{\left(4+9 x^{2}\right)} \) | 2 | Maths |
Arrange the following compounds in increasing order of boiling point
Propan \( -1- \) ol, butan -1 -ol, butan - 2 - ol
pentan -1 -ol
A. Propan-1- ol, butan-2 - ol, butan-1 - ol, pentan-1-ol
B. Propan-1- ol, butan-1 - ol, butan - 2 - -이, pentan-1 -ol
c. Pentan-1- ol, butan-2 - -ol, butan-1 - ol, propan-1-ol
D. Pentan - 1- ol, butan-1 - ol, butan - 2- ol, propan-1 -ol | 1 | Chemistry |
The ratio of shearing stress to the shearing strain is defined as
A. Young's modulus
B. bulk modulus
c. shear modulus
D. compressibility | 3 | Physics |
\( \ln \)
S.I. system, the value of \( \varepsilon_{0} \) is:
\( \mathbf{A} \cdot 1 C^{2} N^{-1} m^{-1} \)
B \( \cdot 9 \times 10^{9} C^{2} N^{-1} m^{-2} \)
C \( \cdot \frac{1}{9 \times 10^{9}} C^{2} N^{-1} m^{-2} \)
D. \( \frac{1}{4 \pi \times 9 \times 10^{9}} C^{2} N^{-1} m^{-2} \) | 3 | Physics |
The survival of aquatic life in river
becomes difficult because:
A. when acid rain flows into the river, it lowers the pH of the river water
B. when acid rain flows into the river, it graters the pH of the river water
C. when acid rain flows into the river, it does not make any change in the river water
D. none of the above | 1 | Chemistry |
3.2 moles of hydrogen iodide were heated in a sealed bulb at \( 444^{0} C \) till the
equilibrium state was reached. Its degree of dissociation at this temperature was found to be \( 22 \% \). The
number of moles of hydrogen iodide present at equilibrium are:
A .2 .496
B. 1.87
c. 2
D. 4 | 1 | Chemistry |
A conducting rod of length Lis falling with velocity \( V \) in a uniform horizontal magnetic field B normal to the rod. The induced emf between the ends the rod
will be :
\( A \cdot 2 B V l \)
B. zero
c. вlv
D. \( \frac{B V l}{2} \) | 3 | Physics |
The focal length of a biconvex lens of refractive index \( \frac{3}{2} \) is \( 40 \mathrm{cm} . \) When immersed in a liquid of refractive index \( \frac{4}{3} \) its focal length in meters will be :
A . 160
B. 16
\( c .1 .6 \)
D. 0.8 | 3 | Physics |
Modern evolutionary theory consists of the concepts of Darwin modified by knowledge concerning
A. Population statistics
B. Mendel's law
c. The idea of the survival of the fittest
D. competition | 0 | Biology |
Diagrammatically indicate the location of various endocrine glands in our body | 0 | Biology |
If \( P(n) \) be the statement \( n(n+1), n \in \)
\( N \) is even, then
A \( . P(2) \) is true
B. \( P(3) \) is true
c. \( P(4) \) is true
D. all of the above | 2 | Maths |
The radius of a sphere is \( 10 \mathrm{cm} \). If the radius is increased by \( 1 \mathrm{cm} \), then prove that volume fo the sphere is increased by \( 33.1 \% \) | 2 | Maths |
Which of the following is not related to light perception?
A. Choroid
B. Rhodopsin
c. Lens
D. Perilymph | 0 | Biology |
If the current in the toroidal solenoid
increases uniformly from zero to \( 6.0 A \) in \( 3.0 \mu s . \) Self inductance of the toroidal
solenoid is \( 40 \mu H . \) The magnitude of self induced emf is :
A . \( 80 V \)
B. \( 160 V \)
\( c \cdot 24 V \)
D. \( 48 \mathrm{V} \) | 3 | Physics |
Find the maximum and minimum
values, if any, without using derivatives of the following function. \( f(x)=16 x^{2}-16 x+28 \) on \( R \) | 2 | Maths |
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