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Is the following reaction is a redox
reaction?
\( \boldsymbol{B} \boldsymbol{a} \boldsymbol{O}_{2}+\boldsymbol{H}_{2} \boldsymbol{S} \boldsymbol{O}_{4} \rightarrow \boldsymbol{B} \boldsymbol{a} \boldsymbol{S} \boldsymbol{O}_{4}+\boldsymbol{H}_{2} \boldsymbol{O}_{2} \) | 1 | Chemistry |
Find the coordinates of the foot of the
perpendicular drawn from the origin to the plane \( 5 y+8=0 \) | 2 | Maths |
An extremely small and dense neutron star of mass \( M \) and radius \( R \) is
rotating at an angular frequency \( \omega . \) If an object is placed at its equator, it will remain stuck to it due to gravity if
A \( \cdot M>\frac{R \omega}{G} \)
в. \( _{M}>\frac{R^{2} \omega^{2}}{G} \)
\( ^{\mathbf{C}} \cdot M>\frac{R^{3} \omega^{2}}{G} \)
D. \( M>\frac{R^{2} \omega^{3}}{G} \) | 3 | Physics |
Two tuning forks of frequency 256 and 258 vibrating per second are sounded together, then time interval between
consecutive maxima heard by the observer is.
A . 2 sec
B. 1 sec
c. \( 0.5 \mathrm{sec} \)
D. 1/4 sec | 3 | Physics |
Which of the following are features of Rutherford nuclear model of an atom?
A. There is a positively charged centre in an atom called the nucleus
B. The electrons revolve around the nucleus in circular paths
C. The size of the nucleus is very small as compared to the size of the atom
D. All of the above | 1 | Chemistry |
For constructive interference, the path difference between two waves must be
A \( \cdot(2 n+1) \lambda / 2 \)
B. \( (2 n+1) \lambda \)
c. \( _{n \frac{\lambda}{2}} \)
D. \( n \lambda \) | 3 | Physics |
Each of the 11 letters \( A, H, I, M, O, T, U, V, W, X \)
and \( Z \) appears same when looked at in a mirror. they are called symmetric letters. other letters in the alphabet are asymmetric letters. How many three letter computer passwords can be formed (no repetition allowed) with at least one symmetric letter? | 2 | Maths |
An inelastic ball is dropped from a height of \( 100 \mathrm{cm} . \) Due to collision with the earth \( 20 \% \) of its energy is lost. To what height will the ball rise?
\( \mathbf{A} \cdot 80 \mathrm{cm} \)
B. \( 40 \mathrm{cm} \)
c. \( 60 \mathrm{cm} \)
D. \( 20 \mathrm{cm} \) | 3 | Physics |
If \( \boldsymbol{A}(\mathbf{0}, \mathbf{3}), \boldsymbol{B}(\mathbf{0}, \mathbf{0}), \boldsymbol{C}(\mathbf{4} . \mathbf{0}) \) be the
vertices of a triangle. Then the triangle is
A. isosceles
B. equilateral
c. right angled
D. none of these | 2 | Maths |
The common oxidation state for sulphur
is :
\( A \cdot+4 \)
B. +6
c. both a and \( b \)
D. none of these | 1 | Chemistry |
State whether given statement is True or False
Sound waves travel faster in air than in
water
A. True
B. False | 3 | Physics |
The sphere of living matter together with water, air and soil on the surface of
earth is called as
A. Lithosphere
B. Biosphere
c. Hydrosphere
D. Atmosphere | 0 | Biology |
An atom of radium combines with two
atoms of chlorine to form RaCl
molecule. The radioactivity of \( \boldsymbol{R} \boldsymbol{a} \boldsymbol{C l}_{2} \)
will be :
A. zero
B. one-half of the same quantity of Ra
C. one-third of the same quantity of Ra
D. as much as that of the same quantity of Ra | 1 | Chemistry |
When n-butane is heated in the
presence of \( A l C l_{3} / H C l \) it will be converted into :
A. ethane
B. propane
c. butene
D. isobutane | 1 | Chemistry |
Assertion
Montreal protocol, was signed at Montreal (Canada) in 1987 to control the
emission of ozone depleting substances.
Reason
Kyoto protocol, held in kyoto (Japan) in
\( 1997, \) has specified the commitments of
different countries to mitigate climate
change.
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 | 0 | Biology |
Which one of the following cannot be considered as a decomposer?
A. Fungi
B. Bacteria
c. Hyenas
D. Earthworms
E. Dung beetles | 0 | Biology |
Match the following
\( \mathbf{A} \)
(i) \( -a,(i i)-b,(i i i)-c,(i v) d \)
B. (i) \( -b,(i i)-c,(i i i)-a,(i v)-d \)
C. (i) - b, (ii) - a, (iii) - d, (iv) c
D. (i) - d, (ii) - c, (iii) - b, (iv) - a | 0 | Biology |
Match list I with list II and select the
correct answer using the codes given
below the lists.
List - I List- 1
1.
Heavy
water
2. Temporary
hard
water
\( A \)
Bicarbonates of
\( M g \) and \( C a \) in
water
B. No foreign ions in
water
3. Softwater
permanent
hard
water
\( A \cdot 1-C, 2-D, 3-B, 4-A \)
B. \( 1- \) B, \( 2-A, 3-C, 4-D \)
\( c \cdot 1-B, 2-D, 3-C, 4-A \)
D. \( 1-C, 2-A, 3-B, 4-C \) | 1 | Chemistry |
Calculate the amount of heat required
to convert 100 g of ice at \( 0^{\circ} \mathrm{C} \) into the
water at \( 0^{\circ} \mathrm{C}: \) Given:Specific latent heat of fusion of ice \( =336 J / g \)
A. 33600
B. 3360 J
c. 67200
D. 6720 J | 3 | Physics |
What coefficient is needed for fluorine
to balance the following equation? \( \boldsymbol{L} \boldsymbol{i}+\boldsymbol{F}_{2} \rightarrow \boldsymbol{L} \boldsymbol{i} \boldsymbol{F} \)
\( \mathbf{A} \cdot \mathbf{0} \)
B.
\( c \cdot 2 \)
D. 3 | 1 | Chemistry |
The diagram below shows part of the \( \operatorname{graph} \) of \( y=\frac{b-x}{c x+d} \)
The \( x \) intercept is (6,0)
The vertical asymptote is \( \boldsymbol{x}=-3 \)
The horizontal asymptote is \( y=-1 \)
Find the value of \( \boldsymbol{d} \) | 2 | Maths |
In radioactive isotope of hydrogen, 2
neutrons are present.
A. True
B. False | 1 | Chemistry |
Calculate the \( \mathrm{pH} \) of \( 10^{-8} \mathrm{M} \mathrm{HCl} \)
\( A \cdot 8 \)
B. 6
\( c \cdot 7 \)
D. 6.98 | 1 | Chemistry |
Arjun wants to invest Rs 15,000 in two types of bonds. He earns \( 12 \% \) in the first type and \( 15 \% \) in the second. His
investment in \( 15 \% \) bond, if he has a total earning of Rs \( 1,950, \) is
A. Rs 10,000
B. Rs 5,000
c. \( R s 6,000 \)
D. Rs 7,000 | 2 | Maths |
A light rigid rod of length \( \boldsymbol{L}=\frac{8}{5} \mathrm{m} \)
hinged at one end has a bob of mass \( \mathrm{m} \)
attached to its other end. Find speed (in
\( \mathrm{m} / \mathrm{s} \) ) of bob at the lowest point when rod is released from vertical position. | 3 | Physics |
Which of the following is exonephric nephridia?
A. Pharyngeal nephridia
B. Septal nephridia
c. Integumentary nephridia
D. Integumentary and pharyngeal nephiridia | 0 | Biology |
A convex lens of focal length \( 15 \mathrm{cm} \) is placed in front of a plane mirror at a distance \( 25 \mathrm{cm} \) from the mirror. Where
on the optical axis and from the centre of the lens should be small object be placed such that the final image coincides with the object?
A. \( 15 \mathrm{cm} \) and on the opposite side of the mirror
B. \( 15 \mathrm{cm} \) and between the mirror and the lens
c. \( 7.5 \mathrm{cm} \) and on the opposite side of the mirror
D. \( 7.5 \mathrm{cm} \) and between the mirror and the lens | 3 | Physics |
A body of weight \( W_{1} \) is suspended from
the celling of a room through a chain of
weight \( W_{2} \) The earth pulls the chain by a force equal to:
\( A \cdot W_{2} \)
B. \( \left(W_{1}+W_{2}\right) / 2 \)
\( \mathbf{c} \cdot\left(W_{1}+W_{2}\right) \)
D. \( W_{1} \times W_{2} \) | 3 | Physics |
Basophilic prokaryotes
A. Grow and multiply in very deep marine sediments
B. Occur in wawter containing high concentrations of barium hydroxide
C. Readily grow and divide in sea water enriched in any soluble salt of barium
D. Grow slowly in highly alkaline frozen lakes at high altitiudes | 0 | Biology |
Different minerals are being mined from within the earth and multi-
storeyed are being constructed. Due to this activity theoretically
A. Angular speed of earth would increase
B. Angular momentum would increase
c. Time period of earth would decrease
D. Length of day would increase | 3 | Physics |
Fresh milk has a pH of 6. Explain why the pH changes as it turns into curd? | 1 | Chemistry |
The biotic components of an ecosystem includes
A. Producers, consumers and decomposers
B. Producers and consumers
c. Producers only
D. Consumers only | 0 | Biology |
Among ( A or B ) which follows a \( \boldsymbol{S} \boldsymbol{N}_{\mathbf{1}} \)
mechanism?
A. \( \left(C H_{3}\right)_{3} C C l \) or
B. \( \boldsymbol{C H}_{3} \boldsymbol{C l} \)
[Give your answer in terms of A or B] | 1 | Chemistry |
\( \sin x \frac{d y}{d x}+3 y=\cos x, \) solving it gives
\( \left(\frac{1}{3}+y\right) \tan ^{k} \frac{x}{2}=c+2 \tan \frac{x}{2}-x \)
find k?
\( A \)
B. 2
\( c \cdot 5 \)
\( D \) | 2 | Maths |
\( \frac{2 x+5}{3}=3 x-10 \) | 2 | Maths |
\( \mathbf{f} \mathbf{a}^{2}+\boldsymbol{b}^{2}+\boldsymbol{c}^{2}=-\mathbf{2} \) and \( \boldsymbol{f}(\boldsymbol{x})= \)
\( \left|\begin{array}{ccc}\mathbf{1}+\boldsymbol{a}^{2} \boldsymbol{x} & \left(\mathbf{1}+\boldsymbol{b}^{2}\right) \boldsymbol{x} & \left(\mathbf{1}+\boldsymbol{c}^{2}\right) \boldsymbol{x} \\ \left(\mathbf{1}+\boldsymbol{a}^{2}\right) \boldsymbol{x} & \mathbf{1}+\boldsymbol{b}^{2} \boldsymbol{x} & \left(\mathbf{1}+\boldsymbol{c}^{2}\right) \boldsymbol{x} \\ \left(\mathbf{1}+\boldsymbol{a}^{2}\right) \boldsymbol{x} & \left(\mathbf{1}+\boldsymbol{b}^{2}\right) \boldsymbol{x} & \mathbf{1}+\boldsymbol{c}^{2} \boldsymbol{x}\end{array}\right| \)
Then, \( f(x) \) is a polynomial of degree
A .2
B. 3
\( c .4 \)
\( D \) | 2 | Maths |
The amount of charge required in Faraday to get \( 40 g A l \) from almuna by electrolysis
A \( \cdot \frac{50}{3} \)
в. \( \frac{40}{3} \)
c. \( \frac{40}{9} \)
D. \( \frac{50}{9} \) | 1 | Chemistry |
Assertion: Dry cell is a primary cell and
lead storage cell is a secondary cell Reason: A primary cell can only be used once while secondary cells are rechargeable.
A. Both Assertion and Reason are true and Reason is the correct explanation of Assertion
B. Both Assertion and Reason are true but Reason is not the correct explanation of Assertion
c. Assertion is true but Reason is false
D. Assertion is false but Reason is true
E. Both Assertion and Reason are false | 1 | Chemistry |
In the chemical reactions, the
compounds \( A \) and \( B \) respectively are:
A. nitrobenzene and fluorobenzene
B. phenol andbenzene
c. benzene diazonium chloride and fluorobenzene
D. nitrobenzene and chlorobenzene | 1 | Chemistry |
Differentiate with respect to \( x \) :
\( \frac{x^{2}+2}{\sqrt{\cos x}} \) | 2 | Maths |
The fractional increase in volume of a
wire of circular cross section, if its lingitudinal strain is \( 1 \%(\sigma=0.3) \)
A . 0.4
B. 0.04
c. 0.004
D. 4 | 3 | Physics |
In a photo electric experiment, when
intensity of incident light increases:
A. photo-current increases
B. photo-current decreases
C. kinetic energy of emitted photoelectrons increases
D. kinetic energy of emitted photoelectrons decreases | 3 | Physics |
Sclereids found in seed coat of pules
are
A. Macrosclereids
B. Brachysclereids
c. osteosclereids
D. Asterosclereids | 0 | Biology |
Select the incorrect statement w.r.t
prokaryotic cells
A. Cytoplasm lacks membrane bound organelles
B. Sap vacuoles are absent
C. Chromosome possesses acidic protein i.e. polyamine
D. Lack streaming movement of cytoplasm
E. None of the above | 0 | Biology |
Q Type your question
along horizontal rails from left to right
At time 't', it retards. Then the reaction
by the floor on the box is given best by?
4
B.
\( c \)
\( D \) | 3 | Physics |
Phenol reacts with acetone in the
presence of conc. Sulphuric acid to form
\( a C_{15} H_{16} O_{2} \) product. The structural
formula of the product is:
\( A \)
B.
c. \( _{X} \begin{array}{l}O-C_{6} H \\ O C_{6} H_{5}\end{array} \)
\( D \) | 1 | Chemistry |
The potential difference between point B
and \( \mathrm{C} \) of the circuit is
A \( \cdot \frac{\left(C_{2}-C_{1}\right)}{V} \)
B. \( \frac{\left(C_{4}-C_{3}\right)}{V} \)
c. \( \frac{\left(C_{2} C_{3}-C_{1} C_{4}\right)}{\left(C_{1}+C_{2}+C_{3}+C_{4}\right)} \cdot V \)
D. \( \frac{C_{1} C_{4}-C_{2} C_{3}}{\left(C_{1}+C_{2}\right) \times\left(C_{3}+C_{4}\right)} \cdot V \) | 3 | Physics |
The food chain in which microbes
breakdown, energy rich compounds, synthesized by producers is called as
A. Ecosystem
B. Parasitic food chain
c. Detritus food chain
D. Predator food chain | 0 | Biology |
If \( \tan \alpha=K \cot \beta, \) then \( \frac{\cos (\alpha-\beta)}{\cos (\alpha-\beta)} \)
equals
A \( \cdot \frac{1+K}{1-K} \)
в. \( \frac{1-K}{1+K} \)
c. \( \frac{K+1}{K-1} \)
D. \( \frac{K-1}{K+1} \) | 2 | Maths |
In the given figure, if area of \( \triangle A D E \) is
\( 60 \mathrm{cm}^{2} ; \) state, giving reason, the area of
\( \triangle A B E \)
A \( \cdot 60 \mathrm{cm}^{2} \)
В. \( 120 \mathrm{cm}^{2} \)
\( \mathbf{c} \cdot 160 \mathrm{cm}^{2} \)
D. \( 210 \mathrm{cm}^{2} \) | 2 | Maths |
Primary succession is development of
communities on
A. Newly exposed habitat.
B. Cleared forest area
c. Freshly harvested crop field.
D. Pond filled after a dry season | 0 | Biology |
Select the correct option regarding the
properties of dioxygen?
A. Dioxygen never reacts with metals
B. Dioxygen is diamagnetic in nature.
C. Combination of dioxygen with other elements is highly exothermic process
D. Dioxygen liquefies at \( 55 \mathrm{K} \) and freezes at \( 90 \mathrm{K} \) | 1 | Chemistry |
The slight separation of charge, or
polarization
A. reduces the electric field within the dielectric.
B. increases the electric field within the dielectric.
C. doesn't effect the electric field within the dielectric.
D. none of the above | 3 | Physics |
How and why do monosubstituted
alicyclic compounds not exhibit positional isomerism? | 1 | Chemistry |
How many moles of electron weight one kilogram?
в. \( \frac{1}{9.108} \times 10^{3} \)
c. \( \frac{6.023}{9.108} \times 10^{54} \)
D. \( \frac{1}{9.108 \times 6.023} \times 10^{8} \) | 3 | Physics |
Which of the following is a suitable example for illustrating the law of conservation of mass? (Atomic mass of
\( \boldsymbol{O}=\mathbf{1 6} ; \boldsymbol{H}=\mathbf{1}) \)
A. \( 18 g \) of water is formed by the combination of 16 g oxygen with \( 2 g \) of hydrogen
B. \( 18 g \) of water in liquid state is obtained by heating 18 g of ice
c. \( 18 g \) of water is completely converted into vapour state n heating
D. \( 18 \mathrm{g} \) of water freezes at \( 4^{\circ} \mathrm{C} \) to give same mass of ice | 1 | Chemistry |
The solution of the equation \( 9 \cos ^{12} x+ \)
\( \cos ^{2} 2 x+1=6 \cos ^{6} x \cos 2 x+ \)
\( 6 \cos ^{6} x-2 \cos 2 x \) is/are:
\( \mathbf{A} \cdot \mathbf{x}=\mathbf{n} \pi+\frac{\pi}{2} ; \mathbf{n} \in \mathbf{I} \)
в. \( _{x}=n \pi+\cos ^{-1}(\sqrt[4]{\frac{2}{3}}), n \in I \)
c. \( _{x=n \pi-\cos ^{-1}}(\sqrt[4]{\frac{2}{3}}), n \in I \)
D. none of the above | 2 | Maths |
Which of the following is/are correct statement(s)?
This question has multiple correct options
A. The motional EMF generated by a magnetic force on a moving wire is case of Lorentz force
B. The transformer EMF generated by an electric force due to a changing magnetic field is the result of Faraday law.
C. The motional EMF generated by a magnetic force on a moving wire is case of Faraday's law.
D. Both B and C are correct. | 3 | Physics |
Assertion
When methanol is added to water,
boiling point of water increases.
Reason
When a volatile solute is added to a
volatile solvent, elevation in boiling point is observed.
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 |
Find the volume and surface area of a sphere of radius \( 2.1 \mathrm{cm} .\left(\pi=\frac{22}{7}\right) \) | 2 | Maths |
A man \( 160 \mathrm{cm} \) high stands in front of a plane mirror. His eyes are at a height of \( 150 \mathrm{cm} \) from the floor. Then the
minimum length of the plane mirror for him to see full length image is :
\( A \cdot 85 \mathrm{cm} \)
B. 170 cm
\( c \cdot 80 \mathrm{cm} \)
D. 340 cm | 3 | Physics |
Match the column I with column II and
mark the appropriate choice.
Column I
(A) \( 3 d \) -transition series
(i) Z=58 to Z=71
(B) Lanthanoid series
(ii) \( \mathrm{Z}=39 \) to \( \mathrm{Z}=48 \)
(C) Actinoid series
(iii) \( z=21 \) to \( z=30 \)
(D) 4d-transition series
(iv) \( z=90 \) to \( z=103 \)
\( A \cdot(A) \rightarrow(i),(B) \rightarrow(i i),(C) \rightarrow(i i i),(D) \rightarrow(i v) \)
B. (A) \( \rightarrow \) (ii), (B) \( \rightarrow \) (iii), (C) \( \rightarrow \) (iv), (D) \( \rightarrow \) (i)
C. \( (A) \rightarrow(\text { iii) },(B) \rightarrow(i),(C) \rightarrow(i v),(D) \rightarrow(\text { ii }) \)
D. \( (A) \rightarrow(\text { iv) },(B) \rightarrow(\text { iii) },(C) \rightarrow(i),(D) \rightarrow\text { (ii) } \) | 1 | Chemistry |
Shape of \( \left(\boldsymbol{S} \boldsymbol{i} \boldsymbol{H}_{3}\right)_{3} \boldsymbol{N} \) with respect to \( \boldsymbol{N} \)
is:
A. pyramidal
B. tetrahedral
c. trigonal planar
D. T-shaped | 1 | Chemistry |
Frequency of vibration of a particle is 10
Hz. If the amplitude of vibration is doubled, what will be the change in frequency of vibration
A. frequency doubles
B. frequency becomes halved
c. frequency remains same
D. frequency quadruples | 3 | Physics |
To make gloves for an electrician, the material that is most suitable is rubber
Which material has most similar
properties?
A. Mol
в. мо२
\( c \cdot \) моз
D. All of the above | 1 | Chemistry |
Young's modulus of the material of a wire is \( Y \). If it is under a stress \( S \), the
energy stored per unit volume is given
by:
A \( \cdot \frac{1}{2} \frac{S}{Y} \)
в. \( \frac{1}{2} \frac{S^{2}}{Y} \)
c. \( \frac{1}{2} \frac{s}{Y^{2}} \)
D. \( \frac{1}{2} \frac{S^{2}}{Y^{2}} \) | 3 | Physics |
What is the common ratio of the G.P.
\( \boldsymbol{a}_{\boldsymbol{n}}=-\boldsymbol{4} . \boldsymbol{3}^{\boldsymbol{n}-1} ? \)
\( \mathbf{A} \cdot \mathbf{1} \)
B . 2
\( c .3 \)
D. 4 | 2 | Maths |
A nucleus of atomic number \( Z \) and
mass number \( A \) emits a \( \beta \) -particle.The
atomic number and mass number of
resulting nucleus is
A. \( Z, A \)
B. \( Z+1, A \)
c. \( Z, A+1 \)
D. \( Z-1, A-1 \) | 3 | Physics |
What does Green Chemistry in terms of environment mean?
A. Greenhouse effect
B. Reaction related to depletion of ozone layer
c. Photosynthetic reactions in plants
D. Reduction in the use and production of hazardous chemicals | 1 | Chemistry |
95
80
\( 0 \% \)
99
90 | 1 | Chemistry |
When the disc of gold leaf electroscope is touched with positively charged glass rod the charge on the leaves of gold leaf electroscope is :
A. positive
B. negative
c. neutral
D. none of these | 3 | Physics |
If \( \boldsymbol{A}=\left(\begin{array}{ll}2 & 2 \\ 9 & 4\end{array}\right) ; I=\left(\begin{array}{ll}1 & 0 \\ 0 & 1\end{array}\right), \) then
\( 10 A^{-1} \) is equal to
A \( .4 I-A \)
B. \( 6 I-A \)
c. \( A-4 I \)
D. \( A-6 I \) | 2 | Maths |
A carrom board (4ft \( \times 4 \) ft square) has the queen at the centre. The queen, hit by the stricker moves to the front edge, rebounds and goes in the hole behind the striking line. Find the magnitude of displacement of the queen from the centre to the hole. | 3 | Physics |
What do you mean by fundamental \& derived quantities? Give the derived
unit of Force. | 3 | Physics |
If the water molecules in 1.0 g of water were distributes uniformly over the
surface of earth, If there are \( 6.5 \times 10^{-x} \)
such molecules would there be in
\( 1.0 \mathrm{cm}^{2} \) of earth's surface, then what is
the value of \( x ? \) | 1 | Chemistry |
State True or False.
High pressure and low voltage should be maintained in the discharge tube for the production of cathode rays.
A . True
B. False | 1 | Chemistry |
If you have a finite geometric sequence, the first number is 2 and the common
ratio is \( 4, \) what is the 3 rd number in the
sequence?
\( A \cdot 8 \)
B. 16
\( c \cdot 32 \)
D. 64 | 2 | Maths |
An equation is given here \( \left(\boldsymbol{P}+\frac{\boldsymbol{a}}{\boldsymbol{V}^{2}}\right)= \)
\( b \frac{9}{V} \) where \( P= \) pressure, \( V= \) Volume
and \( \theta= \) Absolute temperature. if \( a \) and \( b \)
are constants, the dimension of a will
be
\( \mathbf{A} \cdot\left[M L^{-5} T^{-1}\right] \)
B \( \cdot\left[M L^{5} T^{1}\right] \)
C \( \cdot\left[M L^{5} T^{-2}\right] \)
D \( \cdot\left[M L^{-1} L^{5} T^{2}\right] \) | 3 | Physics |
Define and give example of Essential amino acids: | 1 | Chemistry |
Which of the following is only acidic in
nature?
\( \mathbf{A} \cdot B e(O H)_{2} \)
в. \( M g(O H)_{2} \)
\( \mathbf{c} \cdot B(O H)_{3} \)
D. \( A l(O H)_{3} \) | 1 | Chemistry |
0. (-2,4),(4,8),(10,7) and (11,-5) are the
vertices of a quadrilateral. Show that the quadrilateral, obtained on joining the mid-points of its sides, is a parallelogram. | 2 | Maths |
Factorize:
\( 9 a^{2}+\frac{1}{9 a^{2}}-2-12 a+\frac{4}{3 a} \)
A \( \cdot\left(3 a-\frac{1}{3 a}\right)\left(3 a-\frac{1}{3 a}-4\right) \)
B. \( \left(a-\frac{1}{3 a}\right)\left(7 a-\frac{1}{3 a}-1\right) \)
c. \( \left(3 a-\frac{1}{3 a}\right)\left(2 a-\frac{1}{3 a}-4\right) \)
D. \( \left(3 a-\frac{1}{3 a}\right)\left(4 a-\frac{1}{3 a}-1\right) \) | 2 | Maths |
Other than spirogyra, fragmentation also occurs in
A. Amoeba
B. Hydra
c. Planaria
D. None of the above | 0 | Biology |
If \( \boldsymbol{w}=\mathbf{3}-\mathbf{2} \boldsymbol{i} \) and \( \boldsymbol{z}=-\mathbf{2}+\mathbf{4} \boldsymbol{i}, \) then \( \frac{\boldsymbol{w}}{\boldsymbol{z}} \)
can be written as \( a+b i, \) which is
equivalent to
A \( -\frac{3}{2}-\frac{1}{2} i \)
B. \( -\frac{7}{10}-\frac{2}{5} i \)
c. \( \frac{13}{20}-\frac{1}{2} i \)
D. \( \frac{7}{6}+\frac{2}{3} i \) | 2 | Maths |
According to Ohm's law the graph of potential difference and current is
A. Straight line passing through origin
B. Curved
c. Line having an intercept on \( x \) -axis
D. Circular | 3 | Physics |
In the Hall-Heroult process, aluminium is formed at the cathode. The cathode is
made out of:
A. platinum
B. carbon
c. pure aluminium
D. copper | 1 | Chemistry |
a) Calculate the energy associated with the first orbit of \( H e^{+} . \) What is the
radius of this orbit?
b) What is the lowest value of \( n \) that
allows 'g' orbitals to exist? | 1 | Chemistry |
Study of relationship between electricity and magnetism is called
A. Current electricity
B. Electric magnetism
c. Magneto electricity
D. Electromagnetism | 3 | Physics |
Hybridisation state of \( X e \) in \( X e F_{2} \)
\( X e F_{4}, \) and \( X e F_{6} \) respectively are:
\( \mathbf{A} \cdot s p^{2}, s p^{3} d, s p^{3} d^{2} \)
B . \( s p^{3} d, s p^{3} d^{2}, s p^{3} d^{3} \)
c. \( s p^{3} d^{2}, s p^{3} d, s p^{3} d^{3} \)
D \( \cdot s p^{2}, s p^{3}, s p^{3} d \) | 1 | Chemistry |
Does there exist a geometric progression containing 27,8 and 12 as
three of its terms? | 2 | Maths |
Carbohydrates are broadly divided into monosaccharides, oligosaccharides
and polysaccharides.
(a) Write one example each of monosaccharide and oligosaccharide.
(b) (i) Write any one method for the preparation of glucose.
(ii) What is peptide linkage? | 1 | Chemistry |
The temperature of a wire is doubled. The Young's modulus of elasticity will?
A. also double
B. become four times
c. remain same
D. decrease | 3 | Physics |
Calculate the period of revolution of Jupiter around the Sun. The ratio of the
radius of Jupiter's orbit to that of the Earth's orbit is 5
(Period of revolution of the Earth is 1
year) | 3 | Physics |
The self inductance of a coil having 400 turns is \( 10 \mathrm{mH} \). The magnetic flux through the cross section of the coil corresponding to Current \( 2 \mathrm{mA} \) is
\( \mathbf{A} \cdot 4 \times 10^{-5} \mathbf{W} \mathbf{b} \)
B. \( 2 \times 10^{-3} \mathrm{wb} \)
\( c \cdot 3 \times 10^{-5} w b \)
D. \( 8 \times 10^{-3} \mathrm{wb} \) | 3 | Physics |
Sodium chloride and sodium iodide
react with concentrated sulfuric acid
Which statements are correct?
1. Sodium chloride is not oxidised by concentrated sulfuric acid.
2. No colour change is seen when concentrated sulfuric acid is added to
sodium chloride
3. Sodium iodide is oxidised by concentrated sulfuric acid.
A. 1,2 and 3 are correct
B. 1 and 2 only are correct
c. 2 and 3 only are correct
D. 1 only is correct | 1 | Chemistry |
Which of the following units could be used to describe solubility?
\( A \cdot g / s \)
в. \( g / l \)
\( c \cdot k g / s \)
D. mol/s | 1 | Chemistry |
SHORT ANSWER TYPE
How would you prove that the air you breathe out is warmer? | 0 | Biology |
Find the \( H C F \) of 65 and 117 and
express it in the form \( 65 m+117 n \) | 2 | Maths |
To determine the Young's modulus of a wire, the formula is \( Y=\frac{F}{A}, \frac{L}{\triangle l} ; \) where
\( \boldsymbol{L}= \)length\( , \boldsymbol{A}=\operatorname{area~of~cross-section~} \)
of the wire, \( \triangle \boldsymbol{L}= \) Change in length of the wire when stretched with a force \( F \)
The conversion factor to change it from CGS to MKS system is
A . 1
B. 10
c. \( 0 . \)
D. 0.01 | 3 | Physics |
Two liquids \( A \) and \( B \) form ideal
solutions. At \( 300 K \), the vapour
pressure of solution containing 1 mole
of \( A \) and 3 mole of \( B \) is 550 mm \( H g . A t \)
the same temperature, if one more mole
of \( B \) is added to this solution, the
vapour pressure of the solution increases by 10 mm \( H g . \) Determine the vapour pressure of \( A \) and \( B \) in the pure
\( \operatorname{states}(\operatorname{in} \operatorname{mm} H g) \)
A .400,600
B .500,500
\( \mathbf{c} .600,400 \)
D. None of these | 1 | Chemistry |
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