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Carbohydrates contain hydrogen and oxygen atoms in the ratio of
A . 1:
B. 2:
\( c \cdot 2: 3 \)
D. 1: | 1 | Chemistry |
The ratio of work done by an ideal diatomic gas to the heat supplied by the gas in an isobaric process is
A \( \cdot \frac{5}{7} \)
в. \( \frac{3}{5} \)
\( c \cdot \frac{2}{7} \)
D. \( \frac{5}{3} \) | 3 | Physics |
Write the abscissa of the following
point
(0,5) | 2 | Maths |
The angle between force of friction and instantaneous velocity of the body moving over a rough surface is
A. zero
в. \( \pi / 2 \)
\( c . \pi \)
D. Insufficient data | 3 | Physics |
Three wires \( A, B, C \) made of different
materials elongated by \( 1.5,2.5,3.5 \mathrm{mm} \) under a load of 5kg. If the diameters of the wires are the same,the most elastic material is that of
\( A \cdot A \)
B. B
\( c \cdot c \)
D. All | 3 | Physics |
The volume of metal in a hollow sphere
is constant.If the inner radius is
increasing at the rate of \( 1 \mathrm{cm} / \mathrm{sec} \), then the rate of increase of the outer radius
when the radii are \( 4 c m \) and \( 8 c m \)
respectively is.
A. \( 0.75 \mathrm{cm} / \mathrm{sec} \)
B. \( 0.25 \mathrm{cm} / \mathrm{sec} \)
\( \mathrm{c} \cdot 1 \mathrm{cm} / \mathrm{sec} \)
D. \( 0.50 \mathrm{cm} / \mathrm{sec} \) | 2 | Maths |
\( (1+i)^{8}+(1-i)^{8}= \)
A . 16
B. -16
\( c .32 \)
D. -32 | 2 | Maths |
What happens when the lower end of the lightning conductor is not properly buried in the ground?
A. No earthing
B. Building are protected
c. Damage building and even life
D. Both a \& | 3 | Physics |
Which group of plant are not benefited
by \( C O_{2} \) fertilisation effect?
A. Plant requiring 3 ATP per \( C O_{2} \) fixation
B. Plant with kranz anatomy
c. Plant having high rate of photorespiration
D. Plant having single carboxylation | 0 | Biology |
Which one of the following metal oxides shows both acidic and basic
characters?
A. \( N a_{2} O \)
в. \( K_{2} \) о
c. \( C u O \)
D. \( A l_{2} O_{3} \) | 1 | Chemistry |
Find the square of the following
numbers using the identity \( (a+b)^{2}= \)
\( a^{2}+2 a b+b^{2}: \)
510 | 2 | Maths |
The velocity of an earth satellite is
A. constant
B. maximum at perigee.
c. maximum at apogee.
D. None of the above | 3 | Physics |
The rate at which energy is radiated
from a hot body depends upon:
This question has multiple correct options
A. the nature of its surface
B. the area of its surface
C. the temperature of its surface
D. the temperature of the surroundings | 3 | Physics |
\( f F \) is 200 N then find acceleration of \( B \)
A \( \cdot 5 m / s^{2} \)
\( 3 \cdot 10 m / s^{2} \)
c. \( 4 m / s^{2} \)
D. zer | 3 | Physics |
Subtract \( 3.2 \times 10^{-6} \) from \( 4.7 \times 10^{-4} \)
with due regard to significant figures.
В. \( 7 \times 10^{-4} \)
c. \( 5.7 \times 10^{-4} \)
D. \( 4.7 \times 10^{-5} \) | 3 | Physics |
\( N H_{3}+I^{-} \longrightarrow(E)(\text { violet vapours }) \)
What is (E) ?
\( \mathbf{A} \cdot I_{2} \)
в. \( I_{2} \)
c. \( I \)
D. \( I_{3}^{-} \) | 1 | Chemistry |
Electric field at point \( \boldsymbol{A} \) depends on
\( A \)
в. \( q_{2} \)
\( c \cdot \) both \( q_{1} \) and \( q_{2} \)
D. None of these | 3 | Physics |
A regular hexagon is inscribed in a
circle. If the area of hexagon is
\( 24 \sqrt{3} \mathrm{cm}^{2}, \) find the area of the circle.
(Use \( \boldsymbol{\pi}=\mathbf{3 . 1 4} \) ). | 2 | Maths |
Bonding in ferric chloride is
A. Covalent
B. Ionic
c. co-ordinate
D. None of the above | 1 | Chemistry |
\( A \) and \( B \) each have a certain number of
mangoes. A says to B "If you give me 30 of your mangoes, I will have twice as many as left with you." B replies, "If you give me \( 10, \) I will have thrice as many as left with you." How many mangoes does each have? | 2 | Maths |
Solve the given quadratic equation by factorization
\( 8 x^{2}-22 x-21=0 \) | 2 | Maths |
The reactant which is not used in
preparation of benzaldehyde in Etard method is:
This question has multiple correct options
A. toluene
B. ethylbenzene
c. benzoyl chloride
D. sodium benzoate | 1 | Chemistry |
What is use of standard molar entropy? | 1 | Chemistry |
If the activity of 108 Ag is 3 micro curie, the number of atoms present in it are \( \lambda=0.005 \mathrm{sec}^{-1} \)
A. \( 2.2 \times 10^{7} \)
B. 2.2 \( \times 10^{6} \)
c. \( 2.2 \times 10^{5} \)
D. 2.2 \times 10 \( ^{4} \) | 3 | Physics |
Prove that \( : \frac{1+\cos A+\sin A}{1+\cos A-\sin A}= \)
\( \frac{1+\sin A}{\cos A} \) | 2 | Maths |
An accurate celsius scale and faulty
Fahrenheit thermometer read \( 65^{\circ} \mathrm{C} \) and
\( 154^{\circ} F \) respectively when placed in a hot
liquid. Find the error in the latter. | 3 | Physics |
Let \( ^{\prime} \boldsymbol{A}^{\prime} \) be the area swept by the radial vector connecting the earth and the sun in April and May months. Then, find the area swept by the same radial vector connecting the earth and the sun in
November and December months
interms of \( \boldsymbol{A} \)
A. \( A \)
в. \( 2 A \)
c. \( \frac{30 A}{31} \)
D. \( \frac{31 A}{30} \) | 3 | Physics |
Choose the correct statement from the
following?
This question has multiple correct options
A. Pressure is same at all points in the horizontal plane
B. A liquid seeks its own level
C. The lateral pressure exerted by a liquid decreases with the increase in depth of the liquid
D. The upper surface of a stationary liquid is always horizontal | 3 | Physics |
Which one of the following components has largest dipole moment?
A. chlorobenzene
B. \( 1,4- \)-dichlorobenzene
c. \( 1,2,3- \) trichlorobenzene
D. \( 1,2,4,5- \) tetrachlorobenzene | 1 | Chemistry |
Name of metals and non-metals which
obtained by electrolysis is/are respectively? This question has multiple correct options
A. Sodium, Chlorine
B. Magnesium, lodine
c. Aluminium, Fluorine
D. Iron, Cobalt | 1 | Chemistry |
Which of the following equipment does not work on principle of Joule's law?
A . Electric Heater
B. Electric Iron
c. Electric Bulb
D. Electric Fan | 3 | Physics |
Choose the correct answer from the
alternatives given :
Amino acids which are specified by single codons are
A. Phenylalanine and arginine
B. Tryptophan and methionine
c. Valine and proline
D. Methionine and arginine | 0 | Biology |
Given: \( C a O+C O_{2} \rightarrow C a C O_{3}+ \)
\( 40 \mathrm{kcal} / \mathrm{mole.} \) If \( 176 \mathrm{g} \) of \( \mathrm{CO}_{2} \) are
consumed, then how many \( k c a l \) of heat
are released?
A. \( 80 \mathrm{kcal} \)
в. 100 kcal
c. 120 kcal
D. 160 kcal | 1 | Chemistry |
What is the molecular formula of silver
glance?
A. \( A g_{2} S \)
B. AgCl
\( \mathrm{c} \cdot \mathrm{CaCO}_{3} \)
D. \( A l_{2} O_{3} \) | 1 | Chemistry |
Hydrogen burns in air with a:
A. light bluish flame
B. yellow flame
c. crimson red flame
D. green flame | 1 | Chemistry |
Concentration of pure solid and liquid is not included in the expression of equilibrium constant because:
A. solid and pure liquid concentrations are independent of their quantities
B. solid and liquids react slowly
c. solid and liquids at equilibrium do not interact with gaseous phase
D. the molecules of solids and liquids cannot migrate to the gaseous phase | 1 | Chemistry |
In bases, methyl orange turns:
A . red
B. green
c. yellow
D. blue | 1 | Chemistry |
Light with an energy flux of \( 18 W / c m^{2} \) falls on a non-reflecting surface at normal incidence. The pressure exerted on the surface is:
A. \( 2 N / m^{2} \)
B . \( 2 \times 10^{-4} N / m^{2} \)
c. \( 6 N / m^{2} \)
D. \( 6 \times 10^{-4} N / m^{2} \) | 3 | Physics |
20 card are numbered from 1 to \( 20 . \) One
card is drawn at random. What is the
probability that the number on the card is greater than \( 12 ? \)
A \( \cdot \frac{2}{3} \)
B. \( \frac{1}{2} \)
\( c \cdot \frac{2}{5} \)
D. None of these | 2 | Maths |
What is the reason to operate the
photodiodes in reverse bias?
A. fractional change due to the photo-effects on the majority carrier dominated forward bias current is more easily measurable than the fractional change in the reverse bias current.
B. reverse bias is more efficient than forward bias.
C. fractional change due to the photo-effects on the minority carrier dominated reverse bias current is more easily measurable than the fractional change in the forward bias current.
D. reverse bias configuration result in larger amount of current \( (\operatorname{in} \mu A) \) | 3 | Physics |
Assertion: There is a scientific
explanation for the feeling of
depression.
Reason: In people who are depressed, the mood-regulating neurotransmitters fail to function normally, so that the signal is either depleted or disrupted before passing to the next nerve cell. In all depressions, it is likely that the transmission of serotonin is reduced or
disrupted.
Choose the correct options.
A. Both Assertion and Reason are correct
B. Assertion is correct but Reason is incorrect
c. Both Assertion and Reason are incorrect
D. Assertion is incorrect but reason is correct | 1 | Chemistry |
Autoradiography technique was used
to
A. trace the path of carbon in photosynthesis
B. establish that the oxygen evolved during phtosynthesis is by photolysis of water molecule.
C. study photorespiration in certain plants.
D. find out the absorption maximum of chlorophyll pigments. | 0 | Biology |
Which of the following processes cannot take place in the absence of oxygen?
A. Combustion
B. Respiration
c. oxidation
D. All of these | 1 | Chemistry |
When a sperm containing Y chromosome fertilises an egg with \( x \) chromosome, the zygote develops into a
child.
A. Female
B. Either male or a female
c. Male
D. No child | 0 | Biology |
\( C r_{2} O_{7}^{2-p H>a} C r O_{4}^{2-p H \leqslant b} C r_{2} O_{7}^{2-} \)
Find the value of \( \frac{\boldsymbol{a}}{\boldsymbol{b}}: \) | 1 | Chemistry |
The allotrope of carbon which is a good conductor of heat and electricity is:
A. diamond
B. sugar charcoal
c. graphite
D. wood charcoal | 1 | Chemistry |
Why does light from a clear blue portion of the sky show a rise and fall of intensity when viewed through a polaroid which is rotated? Explain by drawing the necessary diagram. | 3 | Physics |
A metal ion required for normal functioning of an enzyme is
A. Holoenzyme
B. Coenzyme
c. cofactor
D. Prosthetic group | 0 | Biology |
There are two solar energy collectors made up of thin aluminium sheet. They
are flat and uncoated. Collector ' \( \boldsymbol{A}^{\prime} \) is
rectangular measuring \( 20 \mathrm{cm} \) long and \( \mathbf{1 5} \mathrm{cm} \) wide while collector' \( \boldsymbol{B}^{\prime} \) is
circular having \( 20 \mathrm{cm} \) diameter. If
they are kept under mid-day sun for long time then,
A. both the collectors \( A \) and \( B \) will show nearly the same temperature
B. collector \( A \) will show higher temperature than \( B \)
c. collector \( B \) will show higher temperature than \( A \)
D. there will be no rise in the temperature of the two collectors, as they are uncoated | 3 | Physics |
The value of \( K_{f} \) for water is \( 1.86^{\circ} \) calculated from glucose solution.The
value of \( \boldsymbol{K}_{f} \) for water calculated for
Na Cl solution will be :
\( \mathbf{A} .=1.86 \)
B. \( <1.86 \)
\( c \cdot>1.86 \)
D. zero | 1 | Chemistry |
Which of the following compounds
would exhibit co-ordination isomerism?
\( \mathbf{A} \cdot\left[C r\left(H_{2} O\right)_{5}\right] C l_{2} \)
B . \( \left[C r\left(N H_{3}\right)_{5}\right]\left[C o(C N)_{5}\right] \)
\( \mathrm{c} \cdot\left[\mathrm{Cr}(\mathrm{en})_{2}\right] \mathrm{NO}_{2} \)
D. \( \left[N i\left(N H_{3}\right)_{5}\right]\left[B F_{4}\right]_{3} \) | 1 | Chemistry |
Choose the odd one out from the
following and give reason for your choice.
A. Natural Gas
B. Sun
c. Biomass
D. wind | 1 | Chemistry |
Reindeer moss is common name of
A. Usnea comosa
B. cladonia rangiferina
c. Funaria hygrometrica
D. sphagnum angustifolium | 0 | Biology |
Use Euclid's division lemma to find the
HCF of the following
27727 and 53124
A .233
B . 200
c. 154
D. 212 | 2 | Maths |
The focal length of a spherical mirror is half of the radius of curvature
A. For all rays
B. Only for paraxial rays near the principal axis
C. For those rays which are far from the principal axis
D. For those rays which subtend extremely large angles with the axis | 3 | Physics |
The value of \( \lim _{n \rightarrow \infty} \frac{\sqrt[4]{n^{5}+2}-\sqrt[3]{n^{2}+1}}{\sqrt[5]{n^{4}+2}-\sqrt[2]{n^{3}+1}} \)
is
\( \mathbf{A} \cdot \mathbf{1} \)
B.
c. -1
D. \( \infty \) | 2 | Maths |
Bond order of \( \boldsymbol{O}_{2}, \boldsymbol{O}_{2}^{+}, \boldsymbol{O}_{2}^{-} \) and \( \boldsymbol{O}_{2}^{2-} \) is in
order
A \( \cdot O_{2}^{-}<O_{2}^{2-}<O_{2}<O_{2}^{+} \)
B. \( O_{2}^{2-}<O_{2}^{-}<O_{2}<O_{2}^{-} \)
c. \( O_{2}^{+}<O_{2}<O_{2}^{-}<O_{2}^{2} \)
D. \( O_{2}<O_{2}^{+}<O_{2}^{-}<O_{2}^{2} \) | 1 | Chemistry |
Which of the following sets of ions represents a collection of isoelectronic
species?
A \( \cdot N^{3}, O^{3}, F^{-}, S^{2-} \)
B . \( L i^{+}, N a^{+}, M g^{2+}, C a^{2+} \)
C \( \cdot K^{+}, C l^{-}, C a^{2+}, S c^{3+} \)
D. \( B a^{2+}, S r^{2+}, K^{+}, C a^{2+} \) | 1 | Chemistry |
Magnitude of \( e / m \) for \( O^{-} \)
\( \mathbf{A} \cdot 10^{-12} \)
B. \( 10^{-20} \)
c. \( 10^{-22} \)
a
D . \( 10^{-18} \) | 1 | Chemistry |
Which atoms should have smaller value
of \( (\boldsymbol{I} \boldsymbol{E})_{1} ? \)
(a) Oxygen or sulphur
(b) Nitrogen or phosphorus
\( \begin{array}{ll}\text { A } \cdot \text { (a) } S(b) & P\end{array} \)
B. (a) \( O \) (b) \( P \)
c. (a) \( S \) (b) \( N \)
D. Noneofthese | 1 | Chemistry |
A bacterium divides every 35 minutes. If
a culture containing \( 10^{5} \) cells/ml is
grown in 175 minutes, what will be cell
concentration after that period
A \( \cdot 175 \times 10^{5} \)
В. \( 35 \times 10^{5} \)
c. \( 5 \times 10^{5} \)
D. \( 32 \times 10^{5} \) | 0 | Biology |
Two cylindrical vessels fitted with pistons \( A \) and \( B \) of area of cross section
\( 8 \mathrm{cm}^{2} \) and \( 320 \mathrm{cm}^{2} \) respectively are
joined at their bottom by a tube and they are completely filled with water. When a mass of \( 4 \mathrm{kg} \) is placed on piston
A, find:
(i) the pressure on piston \( A,( \) ii) the pressure on piston \( \mathrm{B} \), and (iii) the thrust on piston B. | 3 | Physics |
How many different signals can be made by hoisting 6 differently coloured flags one above the other, when any number of them may be hoisted at
once?
A . 1956
B . 1955
\( c \cdot 1900 \)
D. 1901 | 2 | Maths |
The current gain \( (\beta) \) of a transistor in
common base mode is \( 40 . \) To change
the collector current by \( 160 \mathrm{mA} \), the necessary change in the base current is
(at constant \( \mathbf{V}_{C E} \) )
A. \( 0.25 \mu \)
B. \( 4 \mu \) A
\( c \cdot 4 m A \)
D. \( 40 \mathrm{mA} \) | 3 | Physics |
List three differences between arteries
and veins | 0 | Biology |
A prism having an apex angle 40 and
refractive index 1.5 is located in front of
a vertical plane mirror as shown in
figure. Through what total angle is the ray deviated after reflection from the
A \( \cdot 176^{\circ} \)
\( \mathbf{B} \cdot 4^{0} \)
\( c \cdot 178 \)
\( D \cdot 2 \) | 3 | Physics |
Blood vessels which carry blood from different organs of the body to the heart
A. Veins
B. Arteries
c. capillaries
D. None of the above | 0 | Biology |
The diagram given shows a special method of reproduction in an organism. Which of the following organisms also reproduces in a similar way?
A. Amoeba
B. Hydra
c. Paramecium
D. Euglena | 0 | Biology |
In cockroach, the ootheca is formed by the secretion of
A. phallic gland
B. collaterial gland
c. mushroom gland
D. conglobate gland | 0 | Biology |
Match the following
Set-I (Cl-O bond length) \( \quad \operatorname{Set}-\|\left(\mathbf{A}^{0}\right) \)
A) \( \boldsymbol{H} \mathbf{C l O} \)
1)1.64
\( \mathbf{B}) \boldsymbol{H} \boldsymbol{C l} \boldsymbol{O}_{2} \)
2)1.70
\( \mathbf{C}) \boldsymbol{H} \boldsymbol{C l} \boldsymbol{O}_{3} \)
3) 1.45
D) \( \boldsymbol{H} \boldsymbol{C l} \boldsymbol{O}_{\boldsymbol{4}} \)
4) 1.57
The correct matching is:
B. A-2, B-3, C-4, D-1
c. A-2, B-1, C-4, D-3
D. A-2, B-1, C-3, D-4 | 1 | Chemistry |
The area of the region between the curve
\( \boldsymbol{y}=\mathbf{4} \boldsymbol{x}^{2} \) and the line \( \boldsymbol{y}=\mathbf{6} \boldsymbol{x}-\mathbf{2} \) is:
A \( \cdot \frac{1}{9} \) sq. units
B. \( \frac{1}{12} \) sq. units
c. \( \frac{3}{2} \) sq. units
D. \( \frac{1}{5} \) sq. units | 2 | Maths |
Identify the substance oxidised, reduced, oxidising agent and reducing agent for the following reaction.
\( \boldsymbol{H} \boldsymbol{C H O}_{(l)}+\mathbf{2}\left[\boldsymbol{A} \boldsymbol{g}\left(\boldsymbol{N} \boldsymbol{H}_{3}\right)_{2}\right]_{(a q)}^{+}+ \)
\( \mathbf{3} \boldsymbol{O} \boldsymbol{H}_{(\boldsymbol{a q})}^{-} \rightarrow \mathbf{2} \boldsymbol{A} \boldsymbol{g}_{(s)}+\boldsymbol{H} \boldsymbol{C O O}_{(\boldsymbol{a q})}^{-}+ \)
\( \mathbf{4} \boldsymbol{N} \boldsymbol{H}_{3(a q)}+\mathbf{2} \boldsymbol{H}_{2} \boldsymbol{O}_{(l)} \) | 1 | Chemistry |
Which of the following pairs represents isobars?
A \( \cdot 2^{3} \mathrm{He} \) and \( _{2}^{4} \mathrm{He} \)
B \( \cdot \frac{24}{12} \mathrm{Mg} \) and \( _{12}^{25} \mathrm{Mg} \)
\( \mathbf{c} \cdot_{19}^{40} K \operatorname{and}_{20}^{40} C a \) | 1 | Chemistry |
Normal of the parabola \( x^{2}=8 y \) at (2,1)
is
A. \( 2 x+y+5=0 \)
в. \( 2 x+y=5 \)
\( \mathbf{c} \cdot 2 x-y+5=0 \)
D. \( 2 x-y-5=0 \) | 2 | Maths |
A soap bubble of radius \( 3 \mathrm{cm} \) is charged with surface charge density \( \sigma \) such that \( \frac{\sigma^{2}}{\epsilon_{0}}=0.4 S I \) units. The excess
pressure inside the bubble in SI unit
(surface tension of soap solution \( =3 \times \)
\( 10^{-3} \mathrm{N} / \mathrm{m} \) ) is:
A . \( 0 . \)
B. 0.2
c. 0.5
D. 0.25 | 3 | Physics |
Energy of an electron in an orbit of \( \boldsymbol{H}- \) atom is \( -\frac{\boldsymbol{R}_{\boldsymbol{H}}}{\boldsymbol{4}} . \) The no. of degenerate orbitals in this orbit are :
A .4
B. 3
\( c .5 \)
D. | 1 | Chemistry |
Polluted water can be purified by using
A. Microorganisms
B. Algae
c. Pesticides
D. Fishes | 0 | Biology |
Thermal conduction takes place in
A. solid, liquid
B. liquid, gas
c. gas, solid
D. solid, liquid, gas | 1 | Chemistry |
Mercury, Venus, Earth and Mars are not
among the planets.
A. outer
B. inner
c. warmer
D. lighter | 3 | Physics |
A body takes 10 minutes to cool from
\( 60^{\circ} \mathrm{C} \) to \( 50^{\circ} \mathrm{C} . \) The temperature of
surroundings is constant at \( 25^{\circ} \mathrm{C} \). Then, the temperature of the body after next
10 minutes will be approximately
A \( \cdot 43^{\circ} \mathrm{C} \)
В . \( 47^{\circ} \mathrm{C} \)
\( \mathbf{c} \cdot 41^{\circ} C \)
D. \( 45^{\circ} \mathrm{C} \) | 3 | Physics |
A particle suspended from a fixed point, by a light inextensible thread of length is projected horizontally from its lowest position with velocity \( \sqrt{\frac{\mathbf{7 g L}}{\mathbf{2}}} . \) The thread will slack after swinging through
an angle \( \theta, \) such that \( \theta \) equal
A \( .30^{\circ} \)
B. \( 135^{\circ} \)
\( c \cdot 120^{\circ} \)
D. \( 150^{\circ} \) | 3 | Physics |
in the given figure if DEllAC and DCIIAP
then which of the
following is ture
A \( \cdot \operatorname{BE}(\mathrm{AD}+\mathrm{CP})=\mathrm{BE}^{2} \)
B. \( \mathrm{BE} \times \mathrm{CP}=\mathrm{EC} \times \mathrm{BC} \)
c. \( \mathrm{BC} \times \mathrm{CP}=\mathrm{EC} \times \mathrm{BC} \)
D. \( B D \times D E \times=B E^{2} \) | 2 | Maths |
Two thin blankets are warmer than one
blanket of their combined thickness,
this happens, because
A. one blanket is heavier
B. Double layer prevent transmission of heat
c. Two blankets have large mass
D. None of the above | 3 | Physics |
Verify whether the following are zeroes of the polynomial, indicated against them. \( \boldsymbol{p}(\boldsymbol{x})=\boldsymbol{l} \boldsymbol{x}+\boldsymbol{m}, \boldsymbol{x}=-\frac{\boldsymbol{m}}{\boldsymbol{l}} \) | 2 | Maths |
Write the negations of the following
statements:
(a) All students of this college live in the
hostel.
(b) 6 is an even number or 36 is a
perfect square | 2 | Maths |
A gaseous hydrocarbon upon
combustion gives 0.72 g of \( H_{2} O \) and \( 3.08 \mathrm{g} \) of \( C O_{2} . \) The empirical formula of the hydrocarbon is :
A. \( C_{6} H_{5} \)
в. \( C_{7} H_{8} \)
\( \mathbf{c} \cdot C_{2} H_{4} \)
D. \( C_{3} H_{4} \) | 1 | Chemistry |
Explain only reaction mechanism for alkaline hydrolysis of tert-butylbromide. | 1 | Chemistry |
The graph given represents the I-V
characteristics of a Zener diode. Which
part of the characteristic curve is most
relevant for its operation as a voltage
regulator?
\( A \cdot a \)
3. \( b c \)
\( c \cdot c d \)
\( 0 . d \) | 3 | Physics |
Find the derivative of the following functions (it is to be understood that \( a, b, c, d, p, q, r \) and \( s \) are fixed non-zero
constants and \( m \) and \( n \) are integers) \( \sec x-1 \)
\( \sec x+1 \) | 2 | Maths |
When a plastic comb rubbed on hair is brought near bits of paper, it attracts them because:
A. The comb and the paper get similarly charged.
B. They get oppositely charged.
c. The paper bits are very light.
D. None of these | 3 | Physics |
Give reasons for the following
statements
Why covalent compounds
(i) are bad conductors of electricity.
(ii) have low melting and boiling points. | 1 | Chemistry |
Show that the Signum Function \( \boldsymbol{f} \)
\( R \rightarrow R, \) is neither one one nor onto?
\[
f(x)=\left\{\begin{array}{l}
1, \text { if } x>0 \\
0, \text { if } x=0 \\
-1, \text { if } x<0
\end{array}\right.
\] | 2 | Maths |
What is the half - life of a radioactive
substance if \( 75 \% \) of any given amount of the substance disintegrates in 60
minutes?
A. 2 Hours
B. 30 Minutes
c. 45 Minutes
D. 20 Minutes | 1 | Chemistry |
Identify the pair of metals present in the gun powder:
A. iron, tin
B. copper, tin
c. iron, brass, tin
D. iron, zinc, titanium | 1 | Chemistry |
If \( \boldsymbol{4} \boldsymbol{P}(\boldsymbol{A})=\boldsymbol{6} \boldsymbol{P}(\boldsymbol{B})=\mathbf{1 0 P}(\boldsymbol{A} \cap \boldsymbol{B})=\mathbf{1} \)
\( \operatorname{then} P\left(\frac{B}{A}\right)= \)
\( A \cdot \frac{2}{5} \)
B. \( \frac{3}{5} \)
\( c \cdot \frac{7}{10} \)
D. \( \frac{19}{60} \) | 2 | Maths |
Inverse circular functions,Principal
values of \( \sin ^{-1} x, \cos ^{-1} x, \tan ^{-1} x \)
\[
\tan ^{-1} x+\tan ^{-1} y=\tan ^{-1} \frac{x+y}{1-x y}
\]
\( x y<1 \)
\[
\pi+\tan ^{-1} \frac{x+y}{1-x y}, \quad x y>1
\]
Prove
(a) \( \sin ^{-1} \frac{4}{5}+\sin ^{-1} \frac{5}{13}+\sin ^{-1} \frac{16}{65}=\frac{\pi}{2} \)
(b) \( \sin ^{-1} \frac{3}{5}+\sin ^{-1} \frac{8}{17}=\cos ^{-1} \frac{36}{85} \)
\( (c) \sin ^{-1} \frac{3}{5}+\cos ^{-1} \frac{12}{13}=\cos ^{-1} \frac{33}{65} \) | 2 | Maths |
If the Mass of gun \( =2 k g \)
Mass of bullet \( =20 g m \)
Velocity of bullet after firing \( =200 m / s \)
Then the Velocity of gun after firing will be | 3 | Physics |
Yeast produces its clone naturally. This process is called as
A. Budding
B. Cloning
c. Growth
D. None of the above | 0 | Biology |
The area bounded by the curve \( |x|= \)
\( \cos ^{-1} y \) and the line \( |x|=1 \) and the \( x \)
axis is
A . \( \cos 1 \)
B. \( \sin 1 \)
c. \( 2 \cos 1 \)
D. \( 2 \sin 1 \) | 2 | Maths |
The vibration in the stem of tuning fork
are
A. transverse
B. longitudinal
c. both
D. none of these | 3 | Physics |
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