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Atto is used as prefix in SI system. If
true enter 1 else enter 0
| 3 |
Physics
|
A ball of mass \( 1 k g \) dropped from \( 9.8 m \) height strikes the ground and rebounds to a height of \( 4.9 m \). If the time of
contact between ball and ground is \( 0.1 s \)
then find impulse and average force acting on ball.
| 3 |
Physics
|
Phloem always flows from
\( \mathbf{a} \)
A. Sugar source to sugar sink
B. Sugar sink to sugar source
c. Leaf to root
D. None of these
| 0 |
Biology
|
3 moles of \( \boldsymbol{P} \) and 2 moles of \( \boldsymbol{Q} \) are
mixed, what will be their total vapour pressure in the solution if their partial
vapour pressures are 80 and 60 respectively.
A. 80 torr
B. 140 torr
\( c .720 \) torr
D. 70 torr
| 1 |
Chemistry
|
\( D- \) mannose \( \stackrel{H O^{-}}{\rightleftharpoons} D-g l u c o s e \stackrel{H O}{\rightleftharpoons} \)
A Product \( (A) \) of above reaction is:
A . \( D- \) fructose
B. \( D- \)talose
\( \mathbf{C} \cdot D-i d o s e \)
D. \( D- \) glucose
| 1 |
Chemistry
|
Match the following
1
Eutrophication
I. Rise in sea level
2
II. Water hyacinth Biomagnification
III. Increase of quantity of
3. Terror of Bengal pollutant at successive trophic levels
4. Green house \( \quad \) IV. Enrichment with nutrients effect
\( A \cdot 1-1 V, 2-111,3-1,4-11 \)
B. 1- -।, 2- ||, 3- |II, 4- IV
c. \( 1- \) ॥, \( 2- \) ॥ᅵ, \( 3-1 V, 4-1 \)
D. 1- -IV, 2- |II, 3- ||, 4-1
| 0 |
Biology
|
By selling a product for Rs. 100 how much profit was earned?
(1) \( 20 \% \) profit would have been earned if
it had been sold for Rs. 90 .
(II) The profit was one-third of the cost price
A. Statement (I) ALONE is sufficient, but statement (II) alone is not sufficient
B. Statement (II) ALONE is sufficient, but statement (I) alone is not sufficient
c. BOTH statements TOGETHER are sufficient, but NEITHER statement alone is sufficient
D. EACH statement ALONE is sufficient
| 2 |
Maths
|
The atomicity of neon gas is :
A . two
B. one
c. four
D. three
| 1 |
Chemistry
|
Which of the following processes is responsible for the relatively low
concentrations of \( C O_{2} \) in bowls 2 and \( 3 ? \)
A. Respiration
B. Fermentation
c. Photosynthesis
D. Photoperiodism
E. Transpiration
| 0 |
Biology
|
A scooterist sees a bus \( 1 k m \) ahead of
him moving with a velocity of \( 10 m s^{-1} \)
With what speed the scooterist should
move so as to overtake the bus in \( 100 s ? \)
A \( \cdot 10 m s^{-1} \)
B. \( 20 m s^{-1} \)
\( \mathrm{c} \cdot 50 \mathrm{ms}^{-1} \)
D. \( 30 m s^{-1} \)
| 3 |
Physics
|
Solve the following equation and check
your answer.
\( \boldsymbol{x}+(\boldsymbol{x}+\mathbf{2})=(\boldsymbol{x}+\mathbf{4})+\mathbf{3 1} \)
| 2 |
Maths
|
Q Type your question
which the first step is slowest and the
last step is fastest? (Assume that
reaction is exothermic)
\( A \)
B.
\( c \)
None of these
| 1 |
Chemistry
|
Mr. Gupta purchased an article for Rs.
702 including Sales Tax. If the rate of Sales Tax is \( 8 \% \), find the sale price of
the article.
| 2 |
Maths
|
Arrange the following in increasing
order of oxidation states of \( M n \)
\( \boldsymbol{K}_{2} \boldsymbol{M} \boldsymbol{n} \boldsymbol{O}_{4}, \boldsymbol{M} \boldsymbol{n} \boldsymbol{O}_{2}, \boldsymbol{K} \boldsymbol{M} \boldsymbol{n} \boldsymbol{O}_{4} \)
| 1 |
Chemistry
|
Complete the following nuclear
equation:
\( _{26}^{69} \mathrm{Fe} \rightarrow \beta+_{-}- \)
\( \mathbf{A} \cdot_{25}^{58} \mathrm{Mn} \)
B . \( \frac{58}{27} \mathrm{Co} \)
\( \mathbf{C} \cdot_{25}^{59} \mathrm{Mn} \)
\( D \cdot \frac{59}{27} \mathrm{Co} \)
E \( . \begin{array}{c}60 \mathrm{Mn} \\ 25\end{array} \)
| 1 |
Chemistry
|
Differentiate w.r.t \( x, \) the following function:
\( \log \sqrt{\frac{1+\cos x}{1-\cos x}} \)
| 2 |
Maths
|
Euclid's division lemma states that for
two positive integers a and b, there exist unique integers \( q \) and \( r \) such that \( \boldsymbol{a}=\boldsymbol{b} \boldsymbol{q}+\boldsymbol{r}, \) where \( r \) must satisfy
\( A \cdot 1<r<b \)
B. \( 0<r \leq b \)
c. \( 0 \leq r<b \)
\( D \cdot 0<r<b \)
| 2 |
Maths
|
The moment directed along
positive \( x- \) axis of electric field at
point \( (2,2 \sqrt{2}, 0) \)
A. Along positive \( x- \) axis
B. Along positive \( y- \) axis
c. Along negative \( x- \) axis
D. along negative y-axis
| 3 |
Physics
|
The distance \( x \) covered by a particle
varies with time \( t \) as \( x^{2}=2 t^{2}+6 t+1 \)
Its acceleration varies with \( x \) as :
A . \( x \)
B . \( x^{2} \)
\( c \cdot x^{-1} \)
D. \( x^{-3} \)
E . \( x^{-2} \)
| 3 |
Physics
|
What happens in synthesis phase during cell cycle?
A. DNA synthesis
B. Chromosome number becomes double
c. Formation of two nuclei
D. synthesis of proteins \& RNA
| 0 |
Biology
|
\[
\begin{aligned}
\operatorname{Let} \boldsymbol{f}(\boldsymbol{x})=&\{\boldsymbol{x}+\boldsymbol{\lambda}, \boldsymbol{x}<1\\
& \boldsymbol{2} \boldsymbol{x}-\boldsymbol{3}, \boldsymbol{x} \geq 1, \text { if } \lim _{\boldsymbol{x} \rightarrow 1} \boldsymbol{f}(\boldsymbol{x})
\end{aligned}
\]
exists, then find value of \( \lambda \)
| 2 |
Maths
|
A mass \( \mathrm{m} \) is suspended form a sensitive spring balance kept in a satellite. The reading of the balance is
\( W_{1} \) when the satellite is in an orbit of
radius \( \mathrm{R} \) and is \( W_{2} \) when it is in an orbit
of radius \( 2 \mathrm{R} \). Then
A. \( W_{1}>W_{2} \)
в. \( W_{1}<W_{2} \)
c. \( W_{1}=W_{2} \)
D. cannot be predicted
| 3 |
Physics
|
For a transistor, \( \alpha_{d c} \) and \( \beta_{d c} \) are the
current ratios, then the value of \( \frac{\beta_{d c}-\alpha_{d c}}{\alpha_{d c} \cdot \beta_{d c}} \) is
A . 1
в. 1.5
\( c \cdot 2 \)
D. 2.5
| 3 |
Physics
|
If \( a=3+\sqrt{23}, \) then find \( \frac{-14}{a} \)
| 2 |
Maths
|
Mass of \( 12.044 \times 10^{23} \) atoms of
hydrogen is:
A . \( 1 g \)
в. \( 2 g \)
\( \mathrm{c} \cdot 3 g \)
D. \( 4 g \)
| 1 |
Chemistry
|
Write the units digit of the cube for
\( \mathbf{4 4 4 4 7} \)
A . 3
B. 7
c. 9
\( D \)
| 2 |
Maths
|
\( 25 \mathrm{mL} \) samples of distilled water, tap
water and boiled water required,
respectively, \( 1 \mathrm{mL}, 13 \mathrm{mL} \) and \( 5 \mathrm{mL} \) of soap solution to form a permanent
lather. The ratio of temporary to permanent hardness in the tap water is :
A .3: 2
B . 2: 3
\( c \cdot 1: 2 \)
D. 2: 1
| 1 |
Chemistry
|
A body of mass \( 50 k g \) is suspended using a spring balance inside a lift at rest. If the lift starts falling freely, the reading of the spring balance is
\( A \cdot=0 \)
в. \( <50 k g \)
\( \mathbf{c} .=50 k g \)
D. \( >50 k g \)
| 3 |
Physics
|
\( \boldsymbol{A} \boldsymbol{g}_{2} \boldsymbol{S}+\boldsymbol{N} \boldsymbol{a} \boldsymbol{C} \boldsymbol{N} \longrightarrow(\boldsymbol{A}),(\boldsymbol{A})+ \)
\( \boldsymbol{Z} \boldsymbol{n} \longrightarrow(\boldsymbol{B}) \)
(B) is a metal. Hence (A) and (B) are:
A \( \cdot \operatorname{Na}_{2}\left[\operatorname{Zn}(C N)_{4}\right], Z n \)
B . \( N a_{2}\left[A g(C N)_{2}\right], A g \)
c. \( N a_{2}\left[A g(C N)_{4}\right], A g \)
D. \( N a_{3}\left[A g(C N)_{4}\right], A g \)
| 1 |
Chemistry
|
Solve:
\( \frac{\boldsymbol{x}+\mathbf{5}}{\mathbf{5}}=\mathbf{6} \)
| 2 |
Maths
|
Petiole is modified into tendril in
A . Passiflora
B. Gloriosa
c. Pisum
D. Clematis
| 0 |
Biology
|
Explain homogenous and heterogenous
conditions with an example.
| 1 |
Chemistry
|
decimeter is \( _{--} \) megameter.
A \( \cdot 10^{-7} \)
B. \( 10^{-6} \)
\( \mathrm{c} \cdot 10^{-5} \)
D. \( 10^{-8} \)
| 3 |
Physics
|
Find the value of \( x \)
| 2 |
Maths
|
The molality \( (\mathrm{m}) \) of each ion \( \left(\mathrm{N} \boldsymbol{H}_{4}^{+} \) and \right.
\( \left.C l^{-}\right), \) respectively, present in the
aqueous solution of \( 2 M N H_{4} C l \)
assuming \( 100 \% \) dissociation according to given reaction is,
\( N H_{4} C l(a q) \rightarrow N H_{4}^{+}(a q)+C l^{-}(a q) \)
Given that density of solution \( =3.107 \)
\( \mathrm{g} / \mathrm{ml} \)
A \( .0 .45 \mathrm{m}, 0.67 \mathrm{m} \)
в. \( 0.67 \mathrm{m}, 0.45 \mathrm{m} \)
\( c .0 .67 m, 0.67 m \)
\( m \)
D. \( 0.45 \mathrm{m}, 0.45 \mathrm{m} \)
| 1 |
Chemistry
|
Calculate mole of \( I_{2} \) at equilibrium.
| 1 |
Chemistry
|
To ensure almost 100 per cent
transmittivity, photographic lenses are often coated with a thin layer of dielectric material. The refractive index
of this material is intermediated between that of air and glass (which makes the optical element of the lens)
A typically used dielectric film is \( M g F_{2} \) \( (n=1.38) . \) What should the thickness of the film be so that at the center of the
visible spectrum \( (5500 A) \) there is maximum transmission.
A \( \cdot 5000 \) a
в. 2000 А
c. 1000 a
D. 3000 ,
| 3 |
Physics
|
Rhombic, monoclinic and plastic sulphur are?
A. isomers
B. isotopes
c. allotropes
D. hydrides of sulphu
| 1 |
Chemistry
|
What is the \( 5^{t h} \) term of this sequence?
\( \mathbf{5}, \mathbf{1 0}, \mathbf{2 0}, \dots \)
A . 30
B . 40
c. 50
D. 80
| 2 |
Maths
|
The paint in a certain container is sufficient to paint an area equal to
\( 9.375 m^{2} . \) How many bricks of
dimensions \( 22.5 \times 10 \times 7.5 c m \) can be
painted out of this container?
| 3 |
Physics
|
Magnetic lines of force due to a long straight conductor carrying current are
A. straight lines
B. elliptical
c. circular
D. parabolic
| 3 |
Physics
|
Short / Long type answer type
questions. How does the blood differ in its
components in a mammal when it enters the lungs and when it leaves them?
| 0 |
Biology
|
Which of the following statement is
correct
A. The motion of earth around the sun is vibratory
B. The motion of a mosquito in a room is in a straight line
C. The motion of moon around the earth is periodic
D. None of these
| 3 |
Physics
|
A current carrying ring is placed in a magnetic field. The direction of the field
is perpendicular to the plane of the ring. Which of the following correct for this? This question has multiple correct options
A. There is no net force on the ring
B. The ring will tend to expand
c. The ring will tend to contract
(b) or
D. Either
(c) depending on the directions of the current in the ring and the magnetic field
| 3 |
Physics
|
Draw a schematic ray diagram reflecting telescope showing how rays coming from a distant object are received at eye piece. Write its two important advantages over a refracting telescope
| 3 |
Physics
|
The correct order of acidities of the
following is :
A. III>IV > || > |
B. IV>|||>|>1|
c. \( \||>\|>|>\mid V \)
D. ॥> ||| > IV >
| 1 |
Chemistry
|
since the origin of life on earth, there
are five episodes of mass extinction of species. Who is mainly responsible for the sixth extinction?
| 0 |
Biology
|
Assertion
\( \left[A l\left(H_{2} O\right)_{6}\right]^{3+} \) is a stronger acid than
\( \left[\boldsymbol{M} \boldsymbol{g}\left(\boldsymbol{H}_{2} \boldsymbol{O}\right)_{6}\right]^{2+} \)
Reason
Size of \( \left[A l\left(H_{2} O\right)_{6}\right]^{3+} \) is smaller than
\( \left[M g\left(H_{2} O\right)_{6}\right]^{2+} \) and possesses more
effective nuclear charge.
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
|
With the help of which of the following
will you describe the position of a pen
on a table?
A. Coordinate geometry
c. Trignometry
D. Proportions
| 2 |
Maths
|
Which of the following acids is a vitamin?
A. Aspartic acid
B. Ascorbic acid
c. Adipic acid
D. Saccharic acid
| 1 |
Chemistry
|
The energy of a photon is \( 3 \times 10^{-12} \)
ergs. Its wavelength (in nm) will be:
A .662
в. 1324
c. 66.2
D. 6.62
| 3 |
Physics
|
Which one feature is correctly
described?
A. Salivary glands - secretes saliva - replication
B. Pupil of the eyes - dilate - constricts- regulates entry of light
C. Heart rate - decreases - tachycardia
D. Intestinal peristalsis - stimulates - inhibits - heart rate
| 0 |
Biology
|
The ratio in which the plane \( 2 x+3 y- \)
\( \mathbf{2} z+\mathbf{7}=\mathbf{0} \) divides the line segment
joining the points (-1,1,3),(2,3,5) is
A .3: 5
B. 7: 5
\( \mathbf{c} \cdot 9: 11 \)
D. 1: 5 externally
| 2 |
Maths
|
Which of the following floral parts forms pericarp after fertilization?
A. Nucellus
B. Outer integument
c. ovary wall
D. Inner integument
| 0 |
Biology
|
Total number of orbitals associated
with third shell will be
A .2
B. 4
\( c \cdot 9 \)
D.
| 1 |
Chemistry
|
Heavy water is:
A. water with mercury compounds
B. water with chlorides and sulphates of Ca and Mg
C. water with bicarbonates of Ca and Mg
D. deuterium oxide
| 1 |
Chemistry
|
Which is not true for \( _{1} H^{1} ;_{1} H^{2} ;_{1} H^{3} ? \)
A. They are isotopes of each other
B. They have similar electronic configurations
C. They exist in the nature in the ratio of 1: 2: 3
D. Their atomic masses are in the ratio of 1: 2: 3
| 1 |
Chemistry
|
The type of overlapping in \( B r-F \) bond
in \( B r F_{3} \) molecule is:
A \( \cdot s p^{3}-p \)
B \( \cdot s p^{2}-p \)
\( \mathbf{c} \cdot s p^{3} d-p \)
\( \mathbf{D} \cdot s p^{3} d^{2}-p \)
| 1 |
Chemistry
|
On a smooth surface there are five
identical equally spaced balls \( A, B, C, D \) and E present with initial velocities \( 10 \mathrm{m} / \mathrm{s},-5 \mathrm{m} / \mathrm{s}, 2 \mathrm{m} / \mathrm{s},-3 \mathrm{m} / \mathrm{s} \)
\( 3 \mathrm{m} / \mathrm{s} \) respectively, Collision between any two ball assumed to be elasitc.
Then after all possible collision which pair of balls will have same speed as of initial
\( A \cdot A \& D \)
B. B \&
\( c \cdot c \& D \)
\( D \cdot A \& C \)
| 3 |
Physics
|
Which of the following acids is commonly used in batteries for cars?
A. Sulphuric acid
B. Nitric acid
c. Hydrochloric acid
D. Acetic acid
| 1 |
Chemistry
|
The inert gas atom in which the total number of d-electrons is equal to the
difference in numbers of total \( p- \) and
\( s \) -electrons, is:
A. \( H e \)
в. \( N e \)
\( c . A r \)
D. \( K r \)
| 1 |
Chemistry
|
The value of \( \sum_{n=1}^{13}\left(i^{n}+i^{n+1}\right), i=\sqrt{-1}, \) is
\( \mathbf{A} \cdot i \)
B . \( i-1 \)
\( c \cdot 1 \)
D.
| 2 |
Maths
|
How frequently we should wear spectacles if it is advised by doctor if our eyes are damaged?
A. Sometimes
B. Always
c. Rarely
D. Never
| 3 |
Physics
|
Anisole is an example of:
A. aromatic ether
B. symmetrical ether
C . unsymmetrical open chain ether
D. symmetrical open chain ether
| 1 |
Chemistry
|
The significance of \( \boldsymbol{T} \boldsymbol{\Delta} \boldsymbol{S} \) in \( \boldsymbol{\Delta} \boldsymbol{G}= \)
\( \Delta H-T \Delta S \) is a quantitative measure
of the randomness of the:
B. space
c. both of the above
D. none of the above
| 1 |
Chemistry
|
If a rigid body rolls on a surface without
slipping, then:
A. linear speed is maximum at the highest point but minimum at the point of contact
B. linear speed is minimum at highest point but maximum at the point of contact
C. linear speed is same at all points of the rigid body
D. angular speed is different at different points of a rigid body
| 3 |
Physics
|
An aeroplane is flying in a horizontal direction at \( 600 k m / h r \) at a height of \( 6 k m s \) and is advancing towards a point
which is exactly over a target on earth. At that instant the pilot releases a ball which on descending the earth strike
the target. The falling ball appears-
A. To the pilot in the aeroplane, as falling along a parabolic path
B. To a person standing near the target, as falling exactly vertical
c. To a person standing near the target, as describing a parabolic path
D. To the pilot sitting in the aeroplane, as falling in a zigzag path
| 3 |
Physics
|
In fig \( 9.18, \) tangents PQ and PR are drawn to a circle such that
\( \angle R P Q=30^{0} . \) A chord RS is drawn
parallel to the tangent PQ. Find the
\( \angle R Q S \) in degrees.Hint: Draw a line
through \( Q \) and perpendicular to \( Q P \)
| 2 |
Maths
|
A man has a concave shaving mirror of focal length \( 0.2 \mathrm{m} \). How far should the mirror be held from his face in order to
give an image of two fold magnification?
\( \mathbf{A} \cdot 0.1 \mathrm{m} \)
B. \( 0.2 \mathrm{m} \)
c. \( 0.3 \mathrm{m} \)
D. \( 0.4 \mathrm{m} \)
| 3 |
Physics
|
What will be \( \Delta H \) for the reaction,
\( \boldsymbol{C H}_{2} \boldsymbol{C l}_{2} \rightarrow \boldsymbol{C}+\mathbf{2} \boldsymbol{H}+\mathbf{2} \boldsymbol{C l} ? \)
(B.E. of \( C-H \) and \( C-C \) ) bonds are 416 kJ
\( m o l^{-1} \) and 325 kJmol \( ^{-1} \) respectively
A . 832 k
B . 1482 k
c. \( 650 \mathrm{kJ} \)
D. 1855 k
| 1 |
Chemistry
|
Explain chemiosmotic hypothesis for ATP synthesis.
| 0 |
Biology
|
When a hole is produced in P-type semiconductor, there is
A. Extra electron in valence band
B. Extra electron in conduction band
c. Missing electron in valence band
D. Missing electron in conduction band
| 3 |
Physics
|
"Ingredients of baking powder are corn starch, sodium bicarbonate, calcium hydrogen phosphate and sodium aluminum sulfate." Therefore, baking powder is a:
A. mixture
B. molecule
c. mixture of elements
D. compound
| 1 |
Chemistry
|
What is the equivalent capacitance
between \( A \) and \( B \) in the diagram below?
A . \( 10 F \)
в. \( 5 F \)
\( c .2 .5 F \)
D. \( 0 F \)
| 3 |
Physics
|
When the mean value theorem does
apply?
This question has multiple correct options
A. Function needs to be continuous
B. Function needs to be differentiable
C. Function needs to be non-differentiable
D. None of the above
| 2 |
Maths
|
Prove that \( : 1+3+3^{2}+\ldots+3^{n-1}= \)
\( \frac{\left(3^{n}-1\right)}{2} \)
| 2 |
Maths
|
Evaluate \( \int_{0}^{\pi / 4} \sec ^{2} x d x \)
| 2 |
Maths
|
Among \( \left(C H_{3}\right)_{3} N \) and \( C H_{3} N H_{2}, \) amine
with \( _{\text {一一一一一一一一 }} \) methyl groups attached has the higher boiling point.
| 1 |
Chemistry
|
(a) Write names of any two conventional
sources of energy.
(b) Write any two limitations in harnessing wind energy.
| 3 |
Physics
|
\( H_{2} O_{2} \) is added to acidified \( \mathrm{KMnO}_{4} . \) In
this reaction \( H_{2} O_{2} \) acts as:
A. oxidising agent
B. reducing agent
c. a salt
D. a base
| 1 |
Chemistry
|
Two wires are as follows. The
resistivities, lengths and radii are in the ratio 2: 3,3: 5 and 2: 7 respectively
Their resistances are in the ratio of
A . 49: 10
B. 7: 2
\( c \cdot 2: 4 \)
D. 1: 2
| 3 |
Physics
|
Match the following:
\( \begin{array}{lll}\text { S.No } & \text { Scientists } & \text { Inventions } \\ 1 & \text { Michael Faraday } & \text { First battery } \\ 2 . & \text { George Simon Ohm } & \text { Radioactivity } \\ 3 . & \text { Volta } & \text { Dynamo } \\ 4 . & \text { Henry Becquerel } & \text { Ohm's law }\end{array} \)
| 3 |
Physics
|
Find the coefficients of \( x^{2} \) and \( x^{3} \) in the
expansion of \( (2-x)^{6} \)
| 2 |
Maths
|
If \( n \) arithmetic means are inserted
between 1 and 31 such that ratio of first
and \( n^{t h} \) mean is \( 3: 29, \) then what is the
value of \( n ? \)
A . 10
B. 14
c. 18
D. 23
| 2 |
Maths
|
Which of the following process is not
used in the concentration of \( \boldsymbol{H}_{2} \boldsymbol{O}_{2} \) ?
A. Distillation under reduced pressure
B. Evaporation on a water bath
c. Fractional crystallization
D. Sublimation
| 1 |
Chemistry
|
The strongest bond is present in:
A. \( B r_{2} \)
в. \( I_{2} \)
\( c \cdot C l_{2} \)
D. \( F_{2} \)
| 1 |
Chemistry
|
\( \sqrt{(12+\sqrt{12+\sqrt{12+\ldots}})}=x, \) then
the value of \( x \) is
\( A \cdot 3 \)
B. 4
\( c \cdot 6 \)
D. Greater than 6
| 2 |
Maths
|
Select incorrect statement.
A. Double bond is shorter than a single bond.
B. \( \sigma \) -bond is weaker than a \( \pi \) -bond.
C. Double bond is stronger than a single bond.
D. Covalent bond is stronger than a hydrogen bond.
| 1 |
Chemistry
|
Find the max.value of the total surface
of a right circular cylinder which can be inscribed in a sphere of radius a.
A \( \cdot \pi a^{2}(1+1 / \sqrt{5}) \)
B \( \cdot \pi / 2 a^{2}(1+\sqrt{5}) \)
c. \( \pi a^{2}(1+\sqrt{5}) \)
D \cdot \( \pi a^{2}(2+\sqrt{5}) \)
| 2 |
Maths
|
\( 4+8+16+32+\ldots . . \) What is the
common ratio?
\( \mathbf{A} \cdot \mathbf{1} \)
B . 2
\( c .3 \)
D. 4
| 2 |
Maths
|
A spring accelerates a \( 2 k g \) cart from
rest in a time of .8 seconds, giving it a momentum of \( 4 k g m / s \$ . \) With what
force did the spring accelerate the cart?
\( A \ldots 5 N \)
в. 1.6 N
c. \( 3.2 N \)
D. \( 5 N \)
\( E \cdot 8 N \)
| 3 |
Physics
|
\( H_{3} O^{+}+O H^{-} \rightarrow 2 H_{2} O, \) is an example
of:
A. Arrhenius neutralisation
B. Bronsted neutralisation
c. Lewis neutralisation
D. Both Lewis and Bronsted neutralisation
| 1 |
Chemistry
|
If a person is adviced to intake ORS, it
means he is suffering from
A. Typhoid
B. Jaundice
c. Diarrhoea
D. Measles
| 0 |
Biology
|
What is the process, of converting the air pressure from lungs into audible vibrations, called?
A. Excitation
B. Vibration
c. Phonation
D. None
| 3 |
Physics
|
A sonar echo takes 8.8 s to return from a
shark. How far away is the shark
\( \mathbf{A} \cdot 348 m \)
в. \( 5720 m \)
\( c .6745 m \)
D. 13490 m
| 3 |
Physics
|
If \( \boldsymbol{A}_{1}, \boldsymbol{A}_{3}, \dots \dots A_{2 n-1} \) are \( \boldsymbol{n} \) skew
symmetric matrices of same order, then \( \boldsymbol{B}=\sum_{r=1}^{n}(2 r-1)\left(A_{2 r-1}\right)^{2 r-1} \) will be
A. symmetric
B. skew-symmetricç
c. neither symmetric nor skew-symmetric
D. data not adequate
| 2 |
Maths
|
During the formation of sodium chloride, chlorine accepts one electron from sodium to attain the configuration of which noble gas?
A. Neon
B. Helium
c. Argon
D. xenon
| 1 |
Chemistry
|
Give a brief account of the mechanism
of water absorption by plants
| 0 |
Biology
|
The internal energy of a gas is given by
\( U=2 P V . \) it expands from \( V_{o} \) to \( 2 V_{o} \)
against a constant pressure \( P_{o} . \) The
heat absorbed by the gas in the process
is
A \( \cdot 2 P_{o} V_{o} \)
в. \( 4 P_{o} V_{o} \)
\( \mathrm{c} \cdot 3 P_{o} V_{\mathrm{o}} \)
D. \( P_{o} V_{o} \)
| 3 |
Physics
|
Only one element of forms
hydride.
A. group 6
в. group 7
c. group 8
D. group
| 1 |
Chemistry
|
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