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Lead pipes are readily corroded by:
A. water
B. acetic acid
c. conc. \( H_{2} S O_{4} \)
D. dil. \( H_{2} S O_{4} \) | 1 | Chemistry |
\( \boldsymbol{C}_{3} \boldsymbol{H}_{2}(\boldsymbol{g})+\boldsymbol{H}_{2}(\boldsymbol{g}) \rightarrow \boldsymbol{C}_{2} \boldsymbol{H}_{6}(\boldsymbol{g})+ \)
\( \boldsymbol{C} \boldsymbol{H}_{4}(\boldsymbol{g}) \triangle \boldsymbol{H}^{0}=? \)
\( \begin{array}{ll}C_{2} \boldsymbol{H}_{6} & \boldsymbol{H}_{2}(\boldsymbol{g}) \\ (g)\end{array} \quad \boldsymbol{C H}_{4}(\boldsymbol{g}) \quad \) graphit
-1560.1 \( \quad \) -225.0 \( \quad-090.0 \quad \) -393.5
\( \triangle H^{0} \)combustion\( \left(K J m o l^{-1}\right. \) | 1 | Chemistry |
The median and mode of a frequency
distribution are 525 and 500 then mean
of same frequency distribution is-
A . 75
в. 107.5
c . 527.5
D. 537.5 | 2 | Maths |
Match the Column-I with Column-II. | 1 | Chemistry |
In unilocular ovary the ovules develop on the inner wall of ovary. Placentation
can be
A . Basal
B. Axile
c. Parietal
D. Free central | 0 | Biology |
Concentration of which of the following ore is carried out by froth floatation process?
A. Bauxite
B. Chalcocite
c. Haematite
D. Calamine | 1 | Chemistry |
Amphetamine \( \left(C_{3} H_{13} N\right) \) is a weak
base with \( p K_{b} \) of \( 4.2 . \) Calculate the \( p H \) of a solution containing an amphetamine concentration of \( 220 m g / L \)
A . 3.49
B. 5.21
c. 10.5
D. 13.7 | 1 | Chemistry |
Which is a characteristic of a catalyst?
A. It changes the equilibrium point
B. It initiates the reaction
c. It alters the rate of reaction
D. It increases the average kinetic energy of the molecul | 1 | Chemistry |
Assertion
Gravitational potential is maximum at infinity.
Reason
Gravitational potential is the amount of
work done to shift a unit mass from
infinity to a given point in gravitational attraction force field.
A. STATEMENT-1 is True, STATEMENT-2 is True
STATEMENT-2 is a correct explanation for STATEMENT1
B. STATEMENT-1 is True, STATEMENT-2 is True STATEMENT-2 is NOT a correct explanation for STATEMENT-1
C. STATEMENT-1 is True, STATEMENT-2 is False
D. STATEMENT-1 is False, STATEMENT-2 is True | 3 | Physics |
The rate of change of area of a circle with respect to its radius at \( r=2 \mathrm{cm} \) is
A .4
в. \( 2 \pi \)
\( c \cdot 2 \)
D. \( 4 \pi \) | 2 | Maths |
Three small interlocking bones: the hammer, the anvil, and the stirrup transmit the vibrations of the eardrum
to the inner ear.
A. True
B. False
c. Ambiguous
D. Data insufficient | 3 | Physics |
If \( \int_{1}^{2} e^{x^{2}} d x=a, \) then \( \int_{e}^{e^{4}} \sqrt{\ln x} d x \) is
equal to
A \( \cdot 2 e^{4}-2 e-a \)
B \( \cdot 2 e^{4}-e-a \)
\( \mathbf{c} \cdot 2 e^{4}-e-2 a \)
D. \( e^{4}-e-a \) | 2 | Maths |
For a given material, the Young's modulus is 2.4 times that of the
modulus of rigidity. Its Poisson's ratio is
A . 2.4
B. 1.2
\( c .0 .4 \)
D. 0.2 | 3 | Physics |
\( (-46)+(+15)= \)
A. +31
B. 31
\( c \cdot-31 \)
D. none of these | 2 | Maths |
A particle executes \( S H M \) with time period \( T \) and amplitude \( A \), The maximum possible average velocity in time \( T / 4 \) is
A \( \cdot \frac{2 A}{T} \)
в. \( \frac{4 A}{T} \)
c. \( \frac{8 A}{T} \)
D. \( \frac{4 \sqrt{2 A}}{T} \) | 3 | Physics |
Which property of starch is used as indicator in iodometric titration?
A. Absorption
B. Adsorption
c. solubility
D. Polarity | 1 | Chemistry |
Find the median value from the given
table by drawing the curve of the values.
\begin{tabular}{|l|l|}
\hline Weight (in kg) & No of students \\
\hline Less than 38 & 0 \\
\hline Less than 40 & 3 \\
\hline Less than 42 & 5 \\
\hline Less than 44 & 9 \\
\hline Less than 46 & 14 \\
\hline Less than 48 & 28 \\
\hline Less than 50 & 32 \\
\hline Less than 52 & 35 \\
\hline
\end{tabular}
A . 18.5
B. 16.5
c. 17.5
D. 21.5 | 2 | Maths |
Select the option which correctly fills up the blanks, in the following
statement-
(i) Destruction of embryo or foetus in the uterus is called
(ii) Government of India legalised MTP in the year
(iii) Natural family planning method is also called
(iv) is a method in which the
male partner withdraws his penis from vagina just before ejaculation.
(v) \( ----- \) is a copper releasing and is a hormone releasing intra uterine devices.
A . (i) foeticide
(ii) 1961
(iii) rhythm method, (iv) safety period, (v) Multiload 375, LNG-20
B. (i) foeticide
(ii) 1971
(iii) rhythm method, (iv) coitus interruptus
(v) Multiload 375, LNG-20
c. (i) foeticide,
(ii) 1965
(iii) rhythm method, (iv) coitus interruptus,
(v) Multiload 375, CuT
D (ii) matricide
(ii) 1982
(iii) contraception method, (iv) interruptus, (v) Multiload 375, LNG-20 | 0 | Biology |
If the surface area of a sphere is
\( 154 c m^{2}, \) find its radius | 2 | Maths |
A circular loop of radius \( r \) is placed at
the centre of current carrying
conducting square loop of side \( a . \) If both
loops are coplanar and \( a>>r, \) then the
mutual inductance between the loops
will be:
A \( \frac{\mu_{0} r^{2}}{2 \sqrt{2}(a)} \)
B. \( \frac{\mu_{0} r^{2}}{4 a} \)
c. \( \frac{2 \sqrt{2} \mu_{0} r^{2}}{\pi a} \)
D. \( \frac{\mu_{0} r^{2}}{4 \sqrt{2} a} \) | 3 | Physics |
The number of real roots of the equation
\( \mathbf{5}+\left|\mathbf{2}^{x}-\mathbf{1}\right|=\mathbf{2}^{x}\left(\mathbf{2}^{x}-\mathbf{2}\right) \) is:
\( A \cdot 2 \)
B. 3
\( c \cdot 4 \)
\( D \) | 2 | Maths |
What is Werner's Theory | 1 | Chemistry |
Whcih of the following characteristics are related to group to which plant Marsilea belongs?(i) Plant body is not
differentiated into roots, stem and leaves.(ii) They have specialised tissue for the conduction of water and other
substances.(iii) They are predominanty aquatic in nature.(iv) They have naked embryos called spores.(v) They are called amphibians of plant kingdom.
A. (ii) and (iv) only
B. (iii), (iv) and (v)
\( c . \) (ii), (iii) and (iv)
D. (i), (iv) and (v) | 0 | Biology |
The key elements that determine
differences in environmental conditions
of different habitats include
A. Temperature
B. Light
c. Soil
D. All of these | 0 | Biology |
Find a continuous function \( f, \) where
\( \left(x^{4}-4 x^{2}\right) \leq f(x) \leq\left(2 x^{2}-x^{3}\right) \) such
that the area bounded by \( \boldsymbol{y}=\boldsymbol{f}(\boldsymbol{x}), \boldsymbol{y}= \)
\( x^{4}-4 x^{2}, y \) -axis, and the line \( x=t \)
where \( (0 \leq t \leq 2) \) is \( k \) times the area
bounded by \( \boldsymbol{y}=\boldsymbol{f}(\boldsymbol{x}), \boldsymbol{y}=\mathbf{2} \boldsymbol{x}^{2}-\boldsymbol{x}^{3}, \mathbf{y} \)
axis, and line \( \boldsymbol{x}=\boldsymbol{t} \text { (where } \mathbf{0} \leq \boldsymbol{t} \leq \mathbf{2}) \) | 2 | Maths |
If \( 3 x+7 \leq 1, \) where \( x \in Z, \) then find
values of \( x \)
A \( \cdot\{2,2\} \)
в. \( \{-2,-3,-4, \ldots\} \)
c. \( \{-2,-1,0,1, \ldots\} \)
D. None of these | 2 | Maths |
Electromagnetic induction is the:
A. charging of a body with a positive charge
B. production of current by relative motion between a magnet and a coil
C. rotation of the coil of an electric motor
D. generation of magnetic field due to a current carrying solenoid | 3 | Physics |
Derive Lens Maker's formula for a
convex lens. | 3 | Physics |
Give any two applications of Faraday's law of Induction in daily life. | 3 | Physics |
In a reaction mechanism consisting of elementary reaction steps where the relative rate of each is given, which of the following is most likely to be the rate-determining step?
A. A step labeled fast
B. A step labeled moderate
C. A step labeled slow
D. It is not possible to tell which step is rate determining from this information | 1 | Chemistry |
The vertical section of a road over a
canal bridge in the direction of its length is in the form of circle of radius \( 8.9 m . \) Then the greatest speed at which the car can cross this bridge without losing contact with the road at its
highest point, the centre of gravity of the car being at a height \( h=1.1 m \)
from the ground (Take \( \left.g=10 m / s e c^{2}\right) \)
A. \( 5 \mathrm{m} / \mathrm{sec} \)
в. \( 10 \mathrm{m} / \mathrm{sec} \)
c. \( 15 \mathrm{m} / \mathrm{sec} \)
D. \( 20 \mathrm{m} / \mathrm{sec} \) | 3 | Physics |
DNA differs from RNA in having
A. Uracil
B. Thymine
C. Adenine
D. Guanine | 0 | Biology |
A gas in an airtight container is heated
from \( 25^{\circ} \mathrm{C} \) to \( 90^{\circ} \mathrm{C} \). The density of gas will
A. increase slightly
B. increase considerably
c. remain the same
D. decrease slightly | 3 | Physics |
What is the sum of the mole fractions of
all the components in a three
component system?
\( A \)
B. 2
\( c \cdot 3 \)
\( D \cdot 1 / 3 \) | 1 | Chemistry |
One hundred identical coins, each with
probability \( p, \) of showing up heads are tossed. If \( 0<p<1 \) and the probability
of heads showing on 50 coins is equal to that of the heads showing in 51 coins, then the value of \( p \) is
A \( \cdot \frac{1}{2} \)
в. \( \frac{49}{101} \)
c. \( \frac{50}{101} \)
D. \( \frac{51}{101} \) | 2 | Maths |
Long answer type questions
If a collection of invertebrates are
presented to you what criteria would you use to classify them? | 0 | Biology |
Four persons \( A, B, C \) and \( D \) at the corners
of an square of side \( X \) move at a
constant speed \( V . \) Each person
maintains a direction towards the
person at the next corner. The time, the persons take to meet each other is
A \( \cdot \frac{2 X}{3 V} \)
в. \( \frac{2 X}{V} \)
\( c \cdot \frac{X}{V} \)
D. \( \frac{3 X}{4 V} \) | 3 | Physics |
n Fig \( 6.23, \) if \( A B \| C D, \angle A P Q=50^{\circ} \)
and \( \angle P R B=127^{\circ}, \) find \( a \) and \( y \) | 2 | Maths |
Three successive measurement in an
experiment gave value 10.9,11.4042 and 11.42 the correct way of reporting the average value is: | 3 | Physics |
The junction area is kept much larger in
a solar cell
A. for solar radiation to be incident because we are
interested in more power.
B. for solar radiation to be incident because we are interested in less power
C. for solar radiation to be properly reflected from the junction.
D. None of these. | 3 | Physics |
Consider the function
\( \boldsymbol{f}(\boldsymbol{x})= \)
\( \left\{\begin{array}{ll}a x-2 & \text { for }-2<x<-1 \\ -1 & \text { for }-1 \leq x \leq 1 \\ a+2(x-1)^{2} & \text { for } \quad 1<x<2\end{array}\right. \)
What is the value of a for which \( f(x) \) is
continuous at \( x=-1 \) and \( x=1 ? \)
\( A \cdot-1 \)
B.
\( c \cdot 0 \)
\( D \) | 2 | Maths |
The characteristics of a ideal fuel are:
A. it should release more energy
B. it should be safe
c. it should be easily transportable
D. all of the above | 1 | Chemistry |
Resultant of two vectors \( \vec{A} \) and \( \vec{B} \) is of magnitude P. If \( \vec{B} \) is reversed, then resultant is of magnitude Q. What is the
value of \( P^{2}+Q^{2} ? \)
\( A \cdot 2\left(A^{2}+B^{2}\right) \)
B. \( 2\left(A^{2}-B^{2}\right) \)
c. \( A^{2}-B^{2} \)
D. \( A^{2}+B^{2} \) | 3 | Physics |
Why do jewellery makers electroplate gold or silver on metals?
A. To protect it from corrosion.
B. To prevent spoilage of jewellery
c. To make it shine.
D. To reduce cost. | 3 | Physics |
The mass of electron is \( 9.11 \times 10^{-31} \)
Kg Planck constant is \( 6.626 \times 10^{-34} \mathrm{Js} \)
the uncertainty involved in the measurement of velocity within a
distance of \( 0.1 A^{\circ} \) is:
A \( \cdot 5.79 \times 10^{6} m / s \)
B . \( 5.79 \times 10^{7} \mathrm{m} / \mathrm{s} \)
\( \mathbf{c} \cdot 5.79 \times 10^{8} \mathrm{m} / \mathrm{s} \)
D. \( 5.79 \times 10^{5} \mathrm{m} / \mathrm{s} \) | 1 | Chemistry |
Total normal electric field =
\( \mathbf{A} \cdot \epsilon_{0} \vec{E} \cdot \overrightarrow{d S} \)
в. \( \vec{E} \cdot \overrightarrow{d S} \)
\( \mathbf{c} \cdot \epsilon_{0} \vec{E} \)
D. \( \epsilon_{0} \overline{d S} \) | 3 | Physics |
In \( N O_{3}^{-} \) ion, the number of bond pairs
and lone pairs of electrons on nitrogen
atom are:
A .2,2
в. 3,1
c. 1,3
D. 4,0 | 1 | Chemistry |
In which type of inheritance the results are affected by reciprocal cross?
A. Nuclear
c. Blending
D. All of the above | 0 | Biology |
The degree of dissociation of an
electrolyte does not depend on:
A. nature of electrolyte
B. catalytic action
c. dilution
D. temperature | 1 | Chemistry |
After rotating by \( 60^{\circ} \) about a centre, a figure looks exactly the same as at its original position. At what other angle will this happen for the figure?
\( \mathbf{A} \cdot 120^{\circ} \)
B. 100
\( c \cdot 150 \)
D. \( 90^{\circ} \) | 2 | Maths |
Q Type your question
wall. The shearing strength of steel is
\( 345 M N / m^{2} . \) The dimensions \( A B=5 \)
\( \mathrm{cm}, \mathrm{BC}=\mathrm{BE}=2 \mathrm{cm} . \) The maximum
load that can be put on the face ABCD
is:(neglect bending of the rod)
\( \left(g=10 m / s^{2}\right) \)
A. 3450 kgf
B. 1380 kgf
c. \( 13800 \mathrm{kgf} \)
D. 345 kgf
E. None of these | 3 | Physics |
Let a light of wavelength \( \lambda \) and intensity
\( \boldsymbol{I}^{\prime} \) strikes a metal surface to emit \( \boldsymbol{x} \)
electrons per second. Average energy of each electron is ' \( y^{\prime} \) unit. What will
happen to ' \( x \) ' and ' \( y \) ' when
(a) \( \lambda \) is halved
(b) intensity \( I \) is doubled? | 1 | Chemistry |
Life expectancy is defined by the formula \( \frac{2 S B}{G}, \) where \( S= \) shoe size \( \boldsymbol{B}= \) average monthly electric bill in dollars, and \( G=\mathrm{GMAT} \) score. If Melvin's
GMAT score is twice his monthly electric bill, an his life expectancy is 50 what is his shoe size?
A . 40
B. 50
c. 60
D. 80 | 2 | Maths |
Find the 12 th term from the end of the
following arithmetic progression.
\( 3,8,13, ., 253 \) | 2 | Maths |
Using Euclid's division of lemma, find
H.C.F. of 15 and 575 | 2 | Maths |
As the water is released through control valves, \( _{--}-_{-} \) of water changed to
A. Rotational energy, potential energy
B. Kinetic energy, potential energy
c. Potential energy, rotational energy
D. Rotational energy, thermal energy | 3 | Physics |
Find the values of \( x, \) if \( \left|\begin{array}{cc}\mathbf{2 x} & \mathbf{5} \\ \mathbf{8} & \boldsymbol{x}\end{array}\right|=\left|\begin{array}{ll}\mathbf{6} & \mathbf{5} \\ \mathbf{8} & \mathbf{3}\end{array}\right| \) | 2 | Maths |
A car traveling at a constant speed of \( 30 m / s \) passes a highway patrol car, which is at rest. The police officer
accelerates at a constant rate of \( 3 m / s^{2} \)
and maintains this rate of acceleration
until he pulls next to the speeding car. Assume that the police car starts to
move at the moment the speeder passes the police car. What is the time required for the police officer to catch
the speeder?
\( \mathbf{A} \cdot 20 s \)
B. \( 30 s \)
c. \( 40 s \)
D. \( 50 s \) | 3 | Physics |
Stability constants of \( \left[\boldsymbol{C d}(\boldsymbol{C} \boldsymbol{N})_{\boldsymbol{6}}\right]^{2-} \) and
\( \left[N i(C N)_{4}\right]^{2-} \) are \( 1.28 \times 10^{17} \) and \( 1.0 \times \)
\( 10^{31} \) respectively. Which is more stable?
\( \mathbf{A} \cdot\left[N i(C N)_{4}\right]^{2} \)
B . \( \left[C d(C N)_{6}\right]^{2} \)
c. Both are equally stable
D. None of the above | 1 | Chemistry |
Define an atomic orbital. | 1 | Chemistry |
Which of the follwoing Hydrocarbon is
used as a fuel?
A. \( C O_{2} \)
B. \( C_{4} H_{10} \)
\( \mathbf{c} \cdot C H_{3} O H \)
D. \( C H_{3} \) СООН | 1 | Chemistry |
A hydrocarbon \( A(V . D .=36) \) forms only one monochloro substitution product. A
will be:
A. iso-pentane
B. neo-pentane
c. cyclohexane
D. methyl-cyclohexane | 1 | Chemistry |
An insect is sitting in front of a plane
mirror at a distance 1 m from it.
(a) Where is the image of the insect
formed?
(b) What is the distance between the
insect and its image?
\( \mathbf{A} \cdot(a) 2 m \) behind the mirror \( (b) 1 m \)
B. \( (a) 2 m \) infront of the mirror
\( (b) 1 m \)
C \( .(a) 1 m \) infront of the mirror
\( (b) 2 m \)
D. \( (a) 1 m \) behind the mirror
\( (b) 2 m \) | 3 | Physics |
What are Comets? | 3 | Physics |
Assertion: The magnetic field lines of the earth resemble that of a magnetic
dipole located at the centre of the earth. Reason: The axis of the dipole coincide with the axis of rotation of the earth.
A. If both assertion and reason are true and reason is the correct explanation of assertion.
B. If both assertion and reason are true and reason is not the correct explanation of assertion.
c. If assertion is true but reason is false
D. If both assertion and reason are false | 3 | Physics |
What we have learnt about heating
effect of electric current. In studied
about magnets and magnetic lines of force | 3 | Physics |
In winter season, a mild spark is often
seen when a man touches somebody
else's skin.Why?
A. Due to lack of humidity and rubbing with clothes, charge accumulate on human body which is discharged via sparking
B. Due to cold, electrostatic charge on body finds a lower resistance path to the skin of other's body
C. The static charge on sweaters worn by the two persons is different, hence discharge through sparking occurs
D. Similar to the lightning, extremely high potential exists on both the bodies and hence they discharge through sparking | 3 | Physics |
Snow is falling vertically at a constant speed of \( 8.0 \mathrm{m} / \mathrm{s} . \) At what angle from the
vertical do the snowflakes appear to be
falling as viewed by the driver of a car travelling on a straight, level road with a speed of \( 50 \mathrm{km} / \mathrm{h} \) ? | 3 | Physics |
Which among the following is not an anomalous pair in Mendeleev's periodic
table?
A . Co, Ni
в. Te,
c. Ar, \( k \)
D. Sc, Ga | 1 | Chemistry |
If the volume density of the elastic deformation energy in fresh water at the depth of \( h=1000 m \) is \( x K J / m^{3}, \) find the value of \( \frac{x}{5} . \) (rounded off to nearest integer) | 3 | Physics |
A water sample has ppm level concentration of following anions \( \boldsymbol{F}^{-}=\mathbf{1 0} ; \boldsymbol{S} \boldsymbol{O}_{4}^{2-}=\mathbf{1 0 0} ; \boldsymbol{N} \boldsymbol{O}_{3}^{-}=\mathbf{5 0} \)
The anion/anions that make/makes the
water sample unsuitable for drinking is/are:
A. both \( S O_{4}^{2-} \) and \( N O_{3} \)
B . only \( F^{-} \)
C . only \( S O_{4}^{2} \)
D. only \( N O_{3}^{-} \) | 1 | Chemistry |
Which of the following is the use of superconductor?
A. They are used in powerful electromagnets
B. They are used in microwaves
c. They are used in MRI
D. All of the above | 3 | Physics |
One gas bleaches the colour of the
flowers by reduction, while the other by oxidation. The gases are:
A. \( N H_{3} \) and \( S O_{3} \)
B. CO and Cu
\( \mathrm{c} \cdot \mathrm{SO}_{2} \) and \( \mathrm{Cl}_{2} \)
D. \( H_{2} S \) and \( M n C l_{2} \) | 1 | Chemistry |
Let \( N \) denote the set of all natural
numbers and \( R \) be the relation on \( N \times \)
\( N \) defined by \( (a, b) R(c, d), \) if \( a d(b+ \)
\( c)=b c(a+d), \) then show that \( R \) is an
equivalence relation. | 2 | Maths |
Which features adapt polar bears to live in extremely cold climate?
A. A white fur, fat below skin, keen sense of smell
B. Thin skin, large eyes, a white fur
c. A long tail, strong claws, white large paws
D. White body, paws of swimming, gills for respiration | 0 | Biology |
In the Carius method, the sealed Carius
tube containing organic compound, fuming nitric acid and silver nitrate is
heated at \( 300^{0} C \) for six hours in the
estimation of halogens.
A. True
B. False | 1 | Chemistry |
\( \operatorname{Given} \boldsymbol{F}(\boldsymbol{x})=\left[\begin{array}{ccc}\cos \boldsymbol{x} & -\sin \boldsymbol{x} & \mathbf{0} \\ \sin \boldsymbol{x} & \cos \boldsymbol{x} & \boldsymbol{0} \\ \boldsymbol{0} & \boldsymbol{0} & \boldsymbol{1}\end{array}\right] \)
\( \boldsymbol{x} \in \boldsymbol{R} \) Then prove \( \boldsymbol{y}, \boldsymbol{F}(\boldsymbol{x}+\boldsymbol{y})= \)
\( \boldsymbol{F}(\boldsymbol{x}) \boldsymbol{F}(\boldsymbol{y}) \) | 2 | Maths |
Which of the following are failures of
Bohr's Atomic model
A. Bohr model could not explain those atoms which have more than one electron like lithium, helium. This model was applicable only for those atoms which have one electron
B. Bohr theory explained only spherical orbits. There was no explanation for elliptical orbits
c. Bohr's atomic model propose that the electron revolve round then nucleus
D. Both A and B | 1 | Chemistry |
Identify the series \( \frac{1}{3}, \frac{5}{3}, \frac{9}{3}, \frac{13}{3}, \) | 2 | Maths |
A ring type flywheel of mass \( 100 k g \) and
diameter \( 2 m \) is rotating at the rate of \( \frac{5}{11} r e v / s . \) Then
A. the moment of inertia of the wheel is 100 kgm \( ^{-2} \).
B. the kinetic energy of rotation of the flywheel is \( 5 x \) \( 10^{3} J \)
C. the angular momentum associated with the flywheel is \( 10^{3} J s \)
D. the flywheel, if subjected to a retarding torque of \( 250 N m, \) will come to rest in \( 4 s \) | 3 | Physics |
For the equilibrium, \( \Delta G=-R T l n K \)
If true enter 1 else 0
A . | 1 | Chemistry |
Assertion
Hydrogen bomb is more powerful than
atomic bomb.
Reason
In hydrogen bomb, reaction is initiated.
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 |
Which one of the following pairs of structure distinguishes a nerve cell from other types of cell?
A. Flagellum and medullary sheath
B. Nucleus and mitochondria
c. Perikaryon and dendrites
D. vacuoles and fibres | 0 | Biology |
A uniform thin rod of length \( l \) is
standing on a smooth horizontal
surface. A slight disturbance causes
the lower end to slip to the smooth
surface and the rod starts falling. Based
on this information mark the correct
option.
A. The center of mass will move along a straight line.
B. The path followed by the end of the rod which is in contact with the ground is circular
C. the path followed by the end of the rod (which is not in contact with the ground) is circular
D. The angular velocity of the rod when it is about to hit about to hit the ground is \( \sqrt{\frac{3 g}{2 l}} \) | 3 | Physics |
A boat at anchor is rocked by a wave whose crests are 100 m apart and
whose velocity is \( 25 m s^{-1} \).how often does the crest reach the boat?
A . \( 2500 s \)
B. \( 1500 s \)
c. \( 4.0 s \)
D. \( 0.25 s \) | 3 | Physics |
Mathematical Induction is the principle
containing the set
\( A \cdot R \)
B.
\( c \cdot Q \)
\( D \) | 2 | Maths |
Derive an expression for electric
potential at a point due to an electric dipole. Discuss the special cases. | 3 | Physics |
Which of the following is always true?
\( \mathbf{A} \cdot \sim(p \rightarrow q) \equiv \sim p \wedge q \)
В . \( (p \vee q) \equiv \sim p \vee \sim q \)
c. \( \sim(p \Rightarrow q) \equiv(p \wedge \sim q) \)
D. \( (p \wedge q) \equiv \sim p \wedge \sim q \) | 2 | Maths |
Why sun appears red during sunrise \( \& \)
sunset? | 3 | Physics |
The COD values of three water samples
\( A, B \) and \( C \) are 60 ppm, 990 ppm and 120 ppm respectively. The most polluted water sample is:
\( A \cdot A \)
B. B
\( c \cdot c \)
D. All are equally polluted | 1 | Chemistry |
Population of a town increased by 1200 persons in a year and then this new population decreased by \( 11 \% \) during the next year. If the town now has 32 persons less than it had before the increase, then the original population of the town is:
\( A \cdot 9968 \)
B. 10000
c. 11232
D. 12000 | 2 | Maths |
Solve for \( x \) and \( y: 6 x+3 y=6 x y \) and
\( 2 x+4 y=5 x y \) | 2 | Maths |
If \( 6,6^{2}, 6^{3}, 6^{4} \cdots 6^{n} \) be n observation
then the quantity \( (\sqrt{6})^{n+1} \) is called
A . G.M
в. Н.М
c. А.М
D. None of these | 2 | Maths |
Light travels with a speed of \( 3 \times 10^{8} \) \( \{m s\} \wedge\{-1\} . \) The distance travelled by light in 1 femto second is:
A. \( 0.03 \mathrm{mm} \)
B. \( 0.003 m m \)
\( \mathbf{c} .3 m m \)
D. \( 0.0003 \mathrm{mm} \) | 1 | Chemistry |
Which term of the G.P. \( 2,8,32, \ldots \) is
\( 131072 ? \) | 2 | Maths |
The major product of mononitration
reaction has incoming \( -N O_{2} \) group at
position | 1 | Chemistry |
The first term of an infinite geometric
progression is \( x \) and its sum is 5 . then
A. \( x<-10 \)
B. \( 0<x<10 \)
c. \( -10<x<10 \)
D. \( x>10 \) | 2 | Maths |
Five equal point charges with \( Q= \)
\( 10 n C \) are located at \( x=2,4,5,10 \) and
\( 20 m . \) If \( \varepsilon_{0}=\frac{10^{-9}}{36 \pi} F / m, \) then the
potential at the origin \( (x=0) \) is?
A . \( 9.9 v \)
B. \( 11.1 \mathrm{v} \)
c. \( 90 v \)
D. \( 99 v \)
E. 111 | 3 | Physics |
What was the requirement for introducing atomic orbital concept? | 1 | Chemistry |
Show that the vector is parallel to a vector \( \vec{A}=\hat{i}-\hat{j}+2 \hat{k} \) is parallel to a vector \( \vec{B}=3 \hat{i}-3 \hat{j}+6 \hat{k} \)
A \( \cdot \frac{1}{3} \) times the magnitude of \( \vec{B} \)
B. \( \frac{1}{4} \) times the magnitude of \( \vec{B} \).
C \( \cdot \frac{1}{2} \) times the magnitude of \( \vec{B} \)
D. None of these | 3 | Physics |
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