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A boy throws a ball straight up in in the air from a \( 100 m \) tall building and the ball travels \( 20 m \) upwards before it starts falling down and comes to rest when it reaches the ground. What are the magnitudes of displacement and distance of the ball?
A. \( 100 m, 140 m \)
n
в. \( 120 m, 120 m \)
\( \mathrm{c} .140 \mathrm{m}, 120 \mathrm{m} \)
D. 240 \( m, 120 m \)
| 3 |
Physics
|
A technique used to determine the concentration of odour compounds in a
sample is known as:
A. Stripping
B. Chlorination
c. Flushing
D. Settling
| 1 |
Chemistry
|
Obtain the expression of the electric field due to an infinitely long linear
charged wire along the perpendicular distance from the wire.
| 3 |
Physics
|
The distance between two stations is
\( 240 \mathrm{km} . \) A train takes 4 hours to cover
this distance. Calculate the speed of the
train.
| 3 |
Physics
|
Which of the following is reactions is an example of autoreduction?
A \( \cdot F e_{3} O_{4}+4 C O \rightarrow 3 F e+4 C O_{2} \)
в. \( C u O+C \rightarrow 2 C u+C O \)
c. \( C u_{\left(a_{a}\right)}^{2+}+F e_{(s)} \rightarrow C u_{(s)}+F e_{\left(a_{9}\right)+}^{(2)} \)
D. \( C u_{2} O+\frac{1}{2} C u_{2} S \rightarrow 2 C u+\frac{1}{2} S O_{2} \)
| 1 |
Chemistry
|
In a semiconductor, which of the
following statement is correct?
A. At \( 0 K \), Si is a super conductor.
B. In a p-type semiconductor the acceptor level lies near the conduction band.
C. Each donor atom contributes one hole.
D. \( p-n \) junction is electrically neutral
| 3 |
Physics
|
If \( A \) is the set of even natural numbers
less than 8 and \( B \) is the set of prime
numbers less than \( 7, \) then the number
of relations from \( A \) to \( B \) is
A \( \cdot 2^{9} \)
B \( \cdot 9^{2} \)
\( c \cdot 3^{2} \)
D. \( 2^{9}-1 \)
| 2 |
Maths
|
Which of the following are the demerits
of Mendeleev periodic table?
This question has multiple correct options
A. No proper position for hydrogen is given.
B. Grouping of chemically dissimilar elements.
C. Position given to isotopes.
D. Presence of anomalous pairs.
| 1 |
Chemistry
|
Octahedral complex of \( \mathrm{Ni}(\|) \) must be :
A. inner orbital
B. outer orbital
C. inner or outer orbital depending upon the strong or weak field ligand
D. none of these
| 1 |
Chemistry
|
Sulphur sol contains:
A. discrete sulphur atoms
B. discrete sulphur molecules
C. water dispersed in solid sulphur
D. large aggregates of sulphur molecules
| 1 |
Chemistry
|
\( \lim _{x \rightarrow 0} \frac{\sin \left(x^{g}\right)}{x}(g=g r a d) \)
A \( \cdot \frac{\pi}{180} \)
в. \( \frac{\pi}{90} \)
c. \( \frac{\pi}{100} \)
D. \( \frac{\pi}{200} \)
| 2 |
Maths
|
A metal wire upon excess stress moves
to a region of permanent set. Before yielding to the fracture stress, it undergoes an extension equal to twice its length in its plastic region. The nature of the metal is
A . Brittle
B. Ductile
c. Perfectly elastic
D. Perfectly plastic
| 3 |
Physics
|
\( \lim _{n \rightarrow \infty} n\left[\frac{1}{(n+1)(n+2)}+\frac{1}{(n+2)(n+}\right. \)
is equal to
\( ^{A} \cdot \log \left(\frac{3}{2}\right) \)
в. \( \log \left(\frac{5}{2}\right) \)
c. \( \log \left(\frac{1}{2}\right) \)
D. \( \log \left(\frac{7}{4}\right) \)
| 2 |
Maths
|
\( \frac{n}{L} \)
| 3 |
Physics
|
The IUPAC name of dimethyl sec.butylamine is:
A. 2-amino-3-methyl butane
B. 2(N-methyl amino) butane
c. N,N-dimethyl-butan-2-amine
D. 2-(N,N-dimethyl amino) propane
| 1 |
Chemistry
|
Compared to other animals, the ability of speech has developed more in humans. Mainly development of which organ is responsible for this?
A. Mouth
B. Heart
c. Tongue
D. Brain
| 0 |
Biology
|
Infrared radiation was discovered in
1800 by :
A. William Wallaston
B. William Herschel
c. wilhelm Roentgen
D. Thomas Young
| 3 |
Physics
|
The number of electrons present in the outer most shell of the halogens are:
A . 4
B. 0
\( c \cdot 7 \)
\( D \)
| 1 |
Chemistry
|
The reaction(s) which (do) not occur in
the reduction zone in the extraction of
iron from haematite ore is (are):-
This question has multiple correct options
A. \( F e_{2} O_{3}+C O \rightarrow 2 F e O+C O_{2} \)
в. \( F e O+C O \rightarrow F e+C O_{2} \)
\( \mathbf{c} \cdot F e_{2} O_{3}+3 C \rightarrow 2 F e+3 C O \)
D. \( C a O+S i O_{2} \rightarrow C a S i O_{3} \)
| 1 |
Chemistry
|
Give scientific reasons. Roots of plants grow away from light.
| 0 |
Biology
|
A car is moving with a speed of \( 30 m / s \)
on a circular path on a radius \( 500 m \). It
is increasing at the rate of \( 2 m / s e c^{2} \) What is the acceleration of the car?
\( \mathbf{A} \cdot 9.8 m / s e c^{2} \)
B. \( 2.7 m / s e c^{2} \)
c. \( 2.4 m / s e c^{2} \)
D. \( 1.8 m / s e c^{2} \)
| 3 |
Physics
|
The mean salary paid per week to 1000 employees of an establishment was found to be Rs. \( 900 . \) Later on, it was
discovered that the salaries of two
employees were wrongly recorded as Rs.
\( \mathbf{7 5 0} \) and Rs. \( \mathbf{3 6 5} \) instead of Rs. \( \mathbf{5 7 0} \) and
Rs. \( 635 . \) Find the corrected mean salary.
A . 900.90
B. 1,115
c. 1,225
D. 900.09
| 2 |
Maths
|
Equations of a stationary and a travelling waves are as follows, \( \boldsymbol{y}_{1}= \)
\( a \sin k x \cos \omega t \) and \( y_{2}=a \sin (\omega t-k x) \)
The phase difference between two points \( x_{1}=\frac{\pi}{3 k} \) and \( x_{2}=\frac{3 \pi}{2 k} \) are \( \phi_{1} \) and
\( \phi_{2} \) respectively for two waves. The ratio \( \frac{\phi_{1}}{\phi_{2}} \) is
A.
в. \( 5 / 6 \)
\( c .3 / 4 \)
D. 6/7
| 3 |
Physics
|
Solve \( \sin (50+\theta)-\cos (40-\theta)+ \)
\( \tan 1 \tan 10 \)
\( \tan 20 \tan 70 \tan 80 \tan 89=1 \)
| 2 |
Maths
|
Solvents used to dry clean clothes are
usually \( C_{2} C l_{4} . \) A substitute has been discovered which is environmental
friendly is an application of
A. Green revolution
B. Green chemistry
c. waste management
D. Revolution resource recovery
| 1 |
Chemistry
|
If \( \mathbf{p}_{1}, \mathbf{p}_{2}, \mathbf{p}_{3} \) are the principal values of following trigonometric equations \( \sin \theta=-\frac{1}{\sqrt{2}} \)
2) \( \cos \theta=-\frac{\sqrt{3}}{2} \)
3) \( \tan \theta=\sqrt{3}-2 \)
A. \( p_{1}<p_{2}<p_{3} \)
в. \( p_{1}<p_{3}<p_{2} \)
c. \( p_{3}<p_{1}<p_{2} \)
D . \( p_{2}<p_{3}<p_{1} \)
| 2 |
Maths
|
\( \int_{1}^{e^{37}} \frac{\pi \sin \left(\pi \log _{e} x\right)}{x} d x \) is equal to
A . 2
B. -
c. \( 2 / \pi \)
D. \( 2 \pi \)
| 2 |
Maths
|
An electromagnets magnetic field can be rapidly manipulated over a wide
range by controlling the amount of electric current supplied to the electromagnet. State whether the above statement is
true or not?
A. True
B. False
| 3 |
Physics
|
A farmer treats the soil of his field with
lime when the soil has:
A. acidic nature
B. basic nature
c. neutral nature
D. None of the above
| 1 |
Chemistry
|
A pair of dice is thrown 4 times, then the
probability of getting doublets at least twice is
A \( \cdot \frac{19}{44} \)
в. \( \frac{21}{44} \)
\( c \cdot \frac{31}{44} \)
D. \( \frac{39}{44} \)
| 2 |
Maths
|
Give examples of natural causes of deforestation.
A. Forest fires
B. Drought
c. Both A and B
D. None of the above
| 0 |
Biology
|
Determine the relations in \( x, y \) and \( z \) if
\( 1, \log _{y} x, \log _{z} y,-15 \log _{x} z \) are in A.P.
| 2 |
Maths
|
\( H_{2} O \) has a higher boiling point than
HF because:
A. \( H_{2} O \) is more polar than \( H F \)
B. \( H_{2} O \) can form more hydrogen bonds
C. \( H_{2} O \) has a higher molecular weight
D. \( H_{2} O \) has more atoms
E. \( H_{2} O \) does not have a higher boiling point that \( H F \)
| 1 |
Chemistry
|
Mendel was born in
A. Australia
B. Heizendorf
C . Maravia
D. Brunn
| 0 |
Biology
|
The area of cross-section of the two
\( \operatorname{arms} \) of a hydraulic press are \( 1 \mathrm{cm}^{2} \) and
\( 10 \mathrm{cm}^{2} \) respectively(fig.). A force of \( 5 \mathrm{N} \) is applied on the water in the thinner
arm. What force should be applied
on the water in the thicker arm so that
the water may remain in equilibrium?
\( A \cdot 50 N \)
B. 60 N
c. 70 n
D. 80N
| 3 |
Physics
|
Let \( f(x)=a x^{5}+b x^{3}+c \sin x+d \tan ^{3} x- \)
1
f \( f(-\alpha)=-5, \) then \( f(\alpha) \) equals
| 2 |
Maths
|
Which of the following halides is the
most stable?
A. \( C C l_{4} \)
в. \( C B r_{4} \)
c. \( C F_{4} \)
D. \( C l_{4} \)
| 1 |
Chemistry
|
Tritium contains
A .4
B. 3
\( c \cdot 2 \)
D.
| 1 |
Chemistry
|
One of the following is not a common disorder associated with digestive
system.
A. Tetanus
B. Diarrhoea
c. Jaundice
D. Dysentery
| 0 |
Biology
|
Give appropriate Re reasons for each of
the following:Addition of chlorine to potassium iodide solution gives it a brown colour but excess of chlorine makes it colourless
| 1 |
Chemistry
|
The equilibrium constants of the reactions,
\[
\begin{array}{l}
\boldsymbol{S O}_{2}+\frac{1}{2} \boldsymbol{O}_{2} \rightleftharpoons \boldsymbol{S O}_{2} \\
\boldsymbol{2} \boldsymbol{S} \boldsymbol{O}_{2}+\boldsymbol{O}_{2} \rightleftharpoons \boldsymbol{2} \boldsymbol{S} \boldsymbol{O}_{3}
\end{array}
\]
and \( K_{1} \) and \( K_{2} \) respectively. The
relationship between \( K_{1} \) and \( K_{2} \) is :
This question has multiple correct options
A \( \cdot K_{1}=K_{2} \)
B . \( K_{2}=K_{1}^{2} \)
c. \( K_{1}=\sqrt{K_{2}} \)
D. \( K_{2}=\sqrt{K_{1}} \)
| 1 |
Chemistry
|
\( \boldsymbol{n} \stackrel{\boldsymbol{L} t}{\rightarrow} \infty \sum_{r=0}^{\boldsymbol{n}-1} \frac{1}{\sqrt{\boldsymbol{n}^{2}-\boldsymbol{r}^{2}}} \)
\( A \)
B . \( \pi / 2 \)
c. \( \pi / 3 \)
D . \( \pi / 6 \)
| 2 |
Maths
|
If a vector \( \vec{A}=3 \hat{i}-7 \) jbk \( a n d \vec{B}=2 \hat{j}- \)
\( 3 \hat{k} \) are perpendicular find to each other find value \( =\mathbf{b} \)
| 2 |
Maths
|
If \( f(x)=\frac{2 x+3}{3 x-2} \)
Prove that fof is an identity function
| 2 |
Maths
|
All of the following statements are
regarding sieve tube elements that are
true except
A. Their end walls have perforated sieve plates which become impregnated with lignin at maturity.
B. They possess a peripheral cytoplasm as well as a large vacuole.
C. Distinct proteinaceous inclusions, the P-proteins are seen evenly distributed throughout the lumen.
D. Long, slender, tube-like structures arranged in longitudinal series.
E. They are devoid of nucleus at maturity.
| 0 |
Biology
|
Mark the correct statement:
A. Frictional force also exist when there is no motion.
B. Frictional force only exist when there is motion between two objects.
C. Frictional force is nothing but the weight of the body
D. None
| 3 |
Physics
|
According to the property of A.P. If each term of a given A.P \( (1,2,3, \ldots) \) is divided by a non-zero constant \( t, \) then the resulting sequence will be
A. \( _{\text {A.P }}\left(\frac{1}{t^{\prime}}, \frac{2}{t^{\prime}}, \frac{3}{t} \ldots\right), \) with common difference \( \frac{1}{t} \)
B. G.P \( \left(\frac{1}{t}, \frac{2}{t}, \frac{3}{t} \ldots\right) \), with common difference \( \frac{1}{t} \)
C. \( _{\text {H.P }}\left(\frac{1}{t}, \frac{2}{t}, \frac{3}{t} \cdots\right) \), with common difference \( \frac{1}{t} \)
D. A.P \( (t, 2 t, 3 t \ldots), \) with common difference \( t \)
| 2 |
Maths
|
Solve and find the value of \( x \)
\( \mathbf{2}^{\boldsymbol{x}-\mathbf{5}}=\mathbf{2 5 6} \)
| 2 |
Maths
|
Why does the police used dogs for
detective work?
A. Because they have sharp eyesight
B. Because they can hear ultrasonic waves
C. Because they can identify objects by smell
D. All of these
| 3 |
Physics
|
\( \Delta A M T \sim \Delta A H E . \ln \Delta A M T, A M= \)
\( 6.3 \mathrm{cm}, \angle M A T=120^{\circ}, A T=4.9 \mathrm{cm} \)
and \( \frac{M A}{H A}=\frac{7}{5} . \) Construct both the
triangles.
| 2 |
Maths
|
Point \( ^{\prime} A^{\prime} \) moves uniformly with speed
\( v_{1}(=20 m / \text {sec}) \) so that vector \( \vec{v}_{1} \) is
continuously 'aimed' at point ' \( B^{\prime} \) which in turn moves rectilinearly and uniformly with velocity \( v_{2}(=10 m / s e c) \)
along the path \( P \rightarrow Q \) as shown in the
figure. If the time (in sec)when the
points \( A \) and \( B \) converge is \( \frac{3 k}{7} . \) Then
find the value of \( k ? \)
| 3 |
Physics
|
\( \sum_{r=0}^{m} n+r C_{n}= \)
A. \( ^{n+m+1} C_{n+1} \)
В. \( ^{n+m+2} C_{n} \)
\( \mathbf{c} \cdot n+m+3 C_{n+1} \)
D. none of these
| 2 |
Maths
|
In which process under metabolism energy is liberated because of
respiration?
A. Catabolism
B. Anabolism
c. Excretion
D. Digestion
| 0 |
Biology
|
Expand:
\( \left|\begin{array}{lll}\boldsymbol{a} & \boldsymbol{b} & \boldsymbol{c} \\ \boldsymbol{c} & \boldsymbol{a} & \boldsymbol{b} \\ \boldsymbol{b} & \boldsymbol{c} & \boldsymbol{a}\end{array}\right| \)
| 2 |
Maths
|
Which of the following is not correct regarding the properties of ionic compounds?
A. lonic compounds have high melting and boiling points
B. Their reaction velocity in aqueous medium is very high
c. lonic compounds in their molten and aqueous solutions do not conduct electricity
D. They are highly soluble in polar solvents
| 1 |
Chemistry
|
Aldehydes and ketones with or more carbon atoms are either
sparingly soluble or insoluble in water
A. 5
B. 6
\( c \cdot 7 \)
D. 8
| 1 |
Chemistry
|
Statement 1: One mole of NaCl contains
2 moles of ions.
Statement 2: NaCl is a stable salt at
room temperature.
A. Both Statement 1 and Statement 2 are correct and
Statement 2 is the correct explanation of Statement 1
B. Both Statement 1 and Statement 2 are correct and
Statement 2 is not the correct explanation of Statement 1.
c. Statement 1 is correct but Statement 2 is not correct.
D. Statement 1 is not correct but Statement 2 is correct.
E. Both the Statement 1 and Statement 2 are not correct
| 1 |
Chemistry
|
The force required to double the length of a steel wire of area of cross-section
\( 5 \times 10^{-5} m^{2}(\text { in } N) \) is :
\( \left(Y=20 \times 10^{10} P a\right) \)
A . \( 10^{7} \)
B . \( 10^{6} \)
\( \mathrm{c} \cdot 10^{-7} \)
D. \( 10^{5} \)
| 3 |
Physics
|
are connected on the top by a capacitor
C. A sliding conductor AB of length L
slides with its ends in contact with the
bars. The arrangement is placed in a uniform horizontal magnetic field
directed normal to the plane of the
figure. The conductor is released from
rest. The displacement \( (x) \) in meter of
the conductor at time \( t=2 \) sec is:
\( \left(\text { Given } \boldsymbol{m}=\mathbf{1 0 0} \boldsymbol{g} \boldsymbol{m}, \boldsymbol{g}=\mathbf{1 0 m} / \boldsymbol{s}^{2}, \boldsymbol{B}=\right. \)
100Tesla, \( \boldsymbol{L}=\mathbf{1} \boldsymbol{m}, \boldsymbol{a} \boldsymbol{n} \boldsymbol{d} \boldsymbol{C}=\mathbf{1 0} \boldsymbol{\mu} \boldsymbol{F}) \)
A . 10
B. 14
\( c \cdot 7 \)
\( D \)
| 3 |
Physics
|
The two cells are connected in series, in
a potentiometer experiment, in such a
way so as to support each other and to
oppose each other. The balancing lengths in two conditions are obtained as \( 150 \mathrm{cm} \) and \( 50 \mathrm{cm} \) respectively. The ratio of emf's of two cells will be
A . 1: 2
B. 2:
c. 1: 4
D. 4:
| 3 |
Physics
|
Construct a quadrilateral \( \boldsymbol{A B N V} \) where \( \boldsymbol{A} \boldsymbol{V}=\mathbf{7} \boldsymbol{c m}, \boldsymbol{B} \boldsymbol{A}=\mathbf{8} \boldsymbol{c m}, \boldsymbol{B} \boldsymbol{N}= \)
\( \mathbf{1 0} c \boldsymbol{m}, \boldsymbol{N} \boldsymbol{V}=\mathbf{5} \boldsymbol{c m} \) and \( \boldsymbol{B} \boldsymbol{V}=\mathbf{1 1} \boldsymbol{c m} \)
Then, the perimeter of \( \Delta B N V \) is
\( \mathbf{A} \cdot 26 \mathrm{cm} \)
B. \( 24 \mathrm{cm} \)
c. \( 28 \mathrm{cm} \)
D. \( 22 \mathrm{cm} \)
| 2 |
Maths
|
Let \( A \) be a square matrix. Which of the
following is/are not skew-symmetric matrix/ces?
A . \( A-A^{T} \)
B. \( A^{T}-A \)
c. \( A A^{T}-A^{T} A \)
D. \( A+A^{T} \), when A is skew-symmetric
| 2 |
Maths
|
Equations of preparation of alcohol from sugar are given:
\( C_{12} H_{22} O_{11}+H_{2} O \stackrel{\text {Invertase}}{\longrightarrow} \)
\( C_{6} H_{12} O_{6}+C_{6} H_{12} O_{6} \)
\( A \)
\( \boldsymbol{C}_{6} \boldsymbol{H}_{12} \boldsymbol{O}_{6} \stackrel{z \text { ymase}}{\longrightarrow} \mathbf{2} \boldsymbol{C}_{2} \boldsymbol{H}_{5} \boldsymbol{O} \boldsymbol{H}+\mathbf{2} \boldsymbol{C} \boldsymbol{O}_{2} \)
(a) Write the names of the Compounds
\( A \) and \( B \)
(b) The alcohol obtained here is known
as
(c) How can this alcohol be converted into reflected spirit?
(d) How can power alcohol be prepared?
| 1 |
Chemistry
|
Find \( \boldsymbol{\theta}, \) if \( \boldsymbol{0} \leq \boldsymbol{\theta} \leq \mathbf{9 0}^{\boldsymbol{o}} \)
\( \sqrt{\boldsymbol{3}} \tan \boldsymbol{\theta}=\mathbf{1} \)
| 2 |
Maths
|
In the following given systems of equations determine whether the system has a unique solution, no solution or infinitely many solutions. In case there is a unique solution, find it
\( 2 x+y=5 \)
\( 4 x+2 y=10 \)
| 2 |
Maths
|
The area bounded by the parabola \( \boldsymbol{x}= \)
\( y^{2} \) and the line \( y=x-6 \) is
A \( \cdot \frac{125}{3} \) sq. units
B. \( \frac{125}{6} \) sq. units
c. \( \frac{125}{4} \) sq. units
D. \( \frac{115}{3} \) sq. units
| 2 |
Maths
|
The total number of lone pair of
electrons in \( N_{2} O_{3} \) is:
| 1 |
Chemistry
|
A closed surface S is constructed
around a conducting wire connected to
a battery and switch (Fig) As the switch
is closed, the free electrons in the wire
start moving along the wire. In any time
interval, the number of electrons
entering the closed surface \( S \) is equal to
the number of electrons leaving it. After
closing the switch, the flux of the
electric field through the closed surface
will :
This question has multiple correct options
A. increase
B. decrease
C. remain unchanged
D. be zero
| 3 |
Physics
|
Which one of the following pairs of
compounds are functional isomers?
\( \mathbf{A} \cdot C H_{3} C H_{2} C H_{2} O H, C H_{3} C H(O H) C H_{3} \)
B \( \cdot C H_{3} C H_{2} C H_{2} C H_{2} O H,\left(C H_{3}\right)_{2} C H C H_{2} O H \)
\( \mathbf{c} \cdot C H_{3} C H_{2} C H_{2} O H, C H_{3} C H_{2} C H_{2} C l \)
D. \( C H_{3} C H_{2} C H_{2} O H, C H_{3}-O-C H_{2} C H_{3} \)
| 1 |
Chemistry
|
A two-digit number is 3 more than six times the sum of its digits. If 18 is added to the number obtained by
interchanged by interchanging the digits, we get the original number. Find
the number
A . 25
B. 45
c. 75
D. None of these
| 2 |
Maths
|
Four terms are in \( A . P . \) If sum of
numbers is 50 and largest number is four times the smaller one, then find the
terms.
| 2 |
Maths
|
Number of bivalents, chromatid tetrads,
DNA strands, telomeres present in pachytene phase of meiocyte of maize is
A .20,20,80,80
в. 20, 20, 40, 80
\( c \cdot 10,10,40,80 \)
D. 10, 20, 40, 40
| 0 |
Biology
|
The dimensional formula for
permittivity of free space \( \left(\epsilon_{0}\right) \) in the equation \( \boldsymbol{F}=\frac{\mathbf{1}}{\mathbf{4} \boldsymbol{\pi} \boldsymbol{\epsilon}_{0}} \frac{\boldsymbol{q}_{1} \boldsymbol{q}_{2}}{\boldsymbol{r}^{2}} \) where
symbols have their usual meaning is
\( \mathbf{A} \cdot\left[M^{1} L^{3} A^{-2} T^{-4}\right. \)
B \( \cdot\left[M^{-1} L^{-3} T^{4} A^{2}\right] \)
C \( \cdot\left[M^{-1} L^{-3} A^{-2} T^{-4}\right] \)
D・ \( \left[M^{1} L^{3} A^{2} T^{-4}\right] \)
| 3 |
Physics
|
Earthquakes are caused mostly due to:
A. Iandslide
B. flood
C. tsunami
D. movement of Earth's plates
| 3 |
Physics
|
The number of moles of \( C O_{2} \) that can be
dissolved in a liter of water increases
when the
(1) pressure of the \( C O_{2} \) is increased
(2) temperature of the water is increased
(3) liquid is stirred
A. If 1,2 and 3 are correct
B. If only 1 and 2 are correct
c. If only 2 and 3 are correct
D. If only 1 is correct
E. If only 3 is correct
| 1 |
Chemistry
|
Let \( \mathbb{Z} \) be the set of integers and \( \boldsymbol{f}: \mathbb{Z} \rightarrow \)
\( \mathbb{Z} \) be defined as \( \boldsymbol{f}(\boldsymbol{x})=\boldsymbol{x}^{2}, \boldsymbol{x} \in \mathbb{Z} \)
then function is
A. bijection
B. injection
c. surjection
D. none of these
| 2 |
Maths
|
atoms of the same element may also possess different atomic weights.
A. isotopes
B. isotones
c. isobars
D. isomers
| 1 |
Chemistry
|
Name major excretory products. How are these products eliminated from, the body?
| 0 |
Biology
|
A solid body rotates about a stationary axis according to the law
\( \varphi=a t-b t^{3}, \) where \( a=6.0 \mathrm{rad} / \mathrm{s} \) and
\( \boldsymbol{b}=\mathbf{2} . \mathbf{0} \boldsymbol{r} \boldsymbol{a} \boldsymbol{d} / \boldsymbol{s}^{\mathbf{3}} \)
Find the mean values of the angular velocity and angular acceleration averaged over the time interval between
\( t=0 \) and the complete stop. The sum of
their magnitudes is x. Find the value of
\( \mathbf{x} \)
| 3 |
Physics
|
Why did Mendeleev's leave some gaps in his periodic table of elements?
| 1 |
Chemistry
|
A rain drop of radius 0.3 mm has a
terminal velocity in air \( 1 \mathrm{m} / \mathrm{s} \). The viscosity of air is \( 18 \times 10^{-5} \) poise. The
viscous force on it is
A \( \cdot 101.73 \times 10^{-4} d y n e \)
B . \( 101.73 \times 10^{-5} \) dyne
c. \( 16.95 \times 10^{-5} \) dyne
D. \( 16.95 \times 10^{-4} \) dyne
| 3 |
Physics
|
If \( (2 \cos x+\sin x)=1, \) then sum of all
possible value of \( (7 \cos x+6 \sin x) \)
is
| 2 |
Maths
|
Why was the basis of classification of
elements changed from the atomic
mass to the atomic number?
| 1 |
Chemistry
|
Given are \( \boldsymbol{H}_{3} \boldsymbol{P} \boldsymbol{O}_{2}, \boldsymbol{H}_{3} \boldsymbol{P} \boldsymbol{O}_{3}, \boldsymbol{H}_{3} \boldsymbol{P} \boldsymbol{O}_{4} \) and
\( \boldsymbol{H}_{4} \boldsymbol{P}_{2} \boldsymbol{O}_{7} \)
Which of the above oxoacids results
into two series of salts?
A \( . H_{3} P O_{2} \)
в. \( H_{3} P O_{3} \)
\( \mathrm{c} . H_{3} P O_{4} \)
D. \( H_{4} P_{2} O_{7} \)
| 1 |
Chemistry
|
If \( A_{1} \) is the area bounded by \( y= \)
\( \cos x, y=\sin x \& x=0 \) and \( A_{2} \) the
area bounded by \( \boldsymbol{y}=\cos \boldsymbol{x}, \boldsymbol{y}= \)
\( \sin x, y=0 \) in \( \left(0, \frac{\pi}{2}\right) \) then \( \frac{A_{1}}{A_{2}} \) equals to:
A \( \cdot \frac{1}{2} \)
B. \( \frac{1}{\sqrt{2}} \)
c.
D. None of these
| 2 |
Maths
|
Soda bottles are made of thick glass so that they can withstand an increase in:
A. pressure during summer
B. temperature during summer
c. viscosity
D. potential energy
| 3 |
Physics
|
A large open top container of negligible mass and uniform cross sectional area
\( A \) has a small hole of cross sectional
area \( ^{\prime} a^{\prime} \) in its side wall near the bottom.
The container is kept over a smooth horizontal floor and contains a liquid of
density' \( \rho^{\prime} \) and mass \( ^{\prime} m^{\prime} . \) Assuming
that the liquid starts flowing through the hole the acceleration of the
container will be:
\( ^{A} \cdot \frac{2 a g}{A} \)
в. \( \frac{a g}{A} \)
c. \( \frac{2 A g}{a} \)
D. \( \frac{A g}{a} \)
| 3 |
Physics
|
The normal force of an object of mass 5 kg , measured by a force metre is seen to be 50 N. Determine the acceleration
due to gravity in \( \mathrm{cm} / \mathrm{s}^{2} \)
A. 1000
B. 100
c. 0.01
D. \( 0 . \)
| 3 |
Physics
|
\( 0.1 M \) formic acid solution is titrated
against \( 0.1 M \) NaOH solution. What
would be the difference in \( p H \) between \( \frac{1}{5} \) and \( \frac{4}{5} \) stages of neutralization of
acid?
A. \( 2 \log 3 / 4 \)
B. 2 \( \log 1 / 5 \)
\( \mathbf{c} \cdot \log 1 / 3 \)
D. \( 2 \log 4 \)
| 1 |
Chemistry
|
A solid cylinder of mass 20 kg rotates about its axis with angular speed 100 rad \( s^{-1} \). The radius of the cylinder is \( 0.25 \mathrm{m} . \) What is the kinetic energy
associated with the rotation of the
cylinder? What is the magnitude of angular momentum of the cylinder about its axis?
| 3 |
Physics
|
The wave function of a pulse is given by \( y=\frac{5}{(4 x+6 t)^{2}} \) where \( x \) and \( y \) are in
meter and \( t \) is in second, then
determine the wave velocity of the
pulse.
A. \( 2 m / s \)
в. \( 1 \mathrm{m} / \mathrm{s} \)
c. \( -1.5 m / s \)
D. \( 2.5 \mathrm{m} / \mathrm{s} \)
| 3 |
Physics
|
\( \left(-\frac{1}{2}+\frac{\sqrt{3}}{2} i\right)^{1000} \) is equal to
\( \frac{1-\sqrt{3} i}{2} \)
B. \( \frac{1+\sqrt{3} i}{2} \)
c. \( \frac{-1+\sqrt{3} i}{2} \)
D. \( \frac{-1-\sqrt{3} i}{2} \)
| 2 |
Maths
|
The distance between the straight lines
\( \mathbf{y}=\mathbf{m} \mathbf{x}+\mathbf{c}_{1}, \mathbf{y}=\mathbf{m} \mathbf{x}+\mathbf{c}_{2} \) is \( \left|\mathbf{c}_{1}-\mathbf{c}_{2}\right| \)
then \( \mathbf{m}= \)
\( \mathbf{A} \cdot \mathbf{0} \)
B.
\( c \cdot 2 \)
D. 3
| 2 |
Maths
|
An astronaut in a space station orbits
above the Earth.
In the space station, the acceleration
due to gravity is \( 7.5 m / s^{2} \) On Earth, the acceleration due to gravity
is \( 10 m / s^{2} \)
Which statement about the astronauts
mass and weight in the space station is
correct?
A. Mass of astronaut - Same as on the Earth, weight of astronaut - less than on the Earth
B. Mass of astronaut - Same as on the Earth, weight of astronaut - greater than on the Earth
c. Mass of astronaut - lower than as on the Earth, weight of astronaut - less than on the Earth
D. Mass of astronaut - lower than as on the Earth, weight of astronaut - greater than on the Earth
| 3 |
Physics
|
State whether the given statement is true or false.
\( X^{2+}+2 e^{-} \rightarrow X \) is an example of
oxidation.
A. True
B. False
| 1 |
Chemistry
|
In an ideal solution of non-volatile
solute \( \mathrm{B} \) in solvent \( \mathrm{A} \) in 2: 5 molar ratio
has vapour pressure \( 250 \mathrm{mm} \). If another solution in ratio 3: 4 prepared then vapour pressure above this solution is:
\( A \cdot 200 \mathrm{mm} \)
B. 250 mm
c. 350 \( \mathrm{mm} \)
D. \( 400 \mathrm{mm} \)
| 1 |
Chemistry
|
Two coils connected in parallel having
resistances \( 300 \Omega \) and \( 200 \Omega a t 20^{0} C \)
and temperature coefficient of resistivity \( 0.001 K^{-1} \) and \( 0.006 K^{-1} \)
respectively.The effective temperature coefficient of the combination is
A. \( 0.007 K^{-1} \)
B . \( 0.004 K^{-1} \)
D. \( 0.003 K^{-1} \)
| 3 |
Physics
|
A 3.4 g sample of \( \mathrm{H}_{2} \mathrm{O}_{2} \) solution containing \( x \% \mathrm{H}_{2} \mathrm{O}_{2} \) by mass requires \( \mathrm{x} \)
\( \mathrm{ml} \) of a \( \mathrm{KMnO}_{4} \) solution for complete oxidation under acidic condition. The
molarity of \( \mathrm{KMnO}_{4} \) solution is :
\( A \)
B. 0.5
\( c \cdot 0.4 \)
D. 0.2
| 1 |
Chemistry
|
Two coaxial coils are very close to each
other and their mutual inductance is
\( 5 m H . \) If a current 50 sin500t is passed
in one of the coils then the peak value of induced emf in the secondary coil will
be
A . \( 5000 V \)
B. \( 500 V \)
\( \mathbf{c} \cdot 150 V \)
D. \( 125 V \)
| 3 |
Physics
|
State whether the following expressions are polynomials in one variable or not. Give reasons for your answer. \( \sqrt[3]{t}+2 t \)
| 2 |
Maths
|
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