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A diamagnetic material in a magnetic
field moves
A. perpendicular to field
B. from stronger to weaker parts of the field
c. from weaker to stronger parts of field
D. None of these
| 3 |
Physics
|
Match the column.
| 1 |
Chemistry
|
A hoop rolls down an inclined plane. The
fraction of its total kinetic energy that is associated with rotational motion is
A .1: 2
B. 1: 3
c. 1: 4
D. 2: 3
| 3 |
Physics
|
In how many ways can 6 persons stand in a queue?
| 2 |
Maths
|
Number of intersecting points of the
\( \operatorname{conic} 4 x^{2}+9 y^{2}=1 \) and \( 4 x^{2}+y^{2}=4 \)
is
\( \mathbf{A} \cdot \mathbf{1} \)
B. 2
\( c \cdot 3 \)
D. 0 (zero)
| 2 |
Maths
|
Muscular force is a type of
A. mechanical force
B. magnetic force
c. electrostatic force
D. gravitational force
| 3 |
Physics
|
\( \boldsymbol{n} \) small balls each of mass \( \boldsymbol{m} \) impinge elastically each second on a surface
with velocity \( v \). The force experienced by
the surface will be :
A \( \cdot \frac{1}{2} m n v \)
B. \( 2 m n v \)
c. \( m n v \)
D. \( 4 m n v \)
| 3 |
Physics
|
In which of the following reactions hydrogen gas is not liberated?
\( A \cdot 1,1 \)
в. ॥, ॥ I
c. I only
D. III only
| 1 |
Chemistry
|
At the time of maximum deflection of
the thread with vertical, the trolley will
move with velocity
\( A \cdot 2 m / s \)
в. \( 3 m / s \)
\( \mathrm{c} \cdot 1 \mathrm{m} / \mathrm{s} \)
D. \( 4 m / s \)
| 3 |
Physics
|
The term independent of \( x \) in the expansion of \( \left(x^{2}-\frac{3 \sqrt{3}}{x^{3}}\right)^{10} \)
| 2 |
Maths
|
If \( A, B \) are square matrices of order \( 3, A \) is non-singular and \( A B=O \), then \( B \) is
\( a \)
A. Null matrix
B. singular matrix
c. Unit matrix
D. Non-singular matrix
| 2 |
Maths
|
A gun recoils backward after firing a
bullet
A. To follow the law of inertia
B. To conserve momentum
c. To conserve mass
D. The statement is wrong
| 3 |
Physics
|
The amount of charges that passes any section of the conductors in one second
is called:
A. current
B. power dissipation
c. electromotive force
D. internal resistance
| 3 |
Physics
|
If the matrix \( \left[\begin{array}{ccc}\mathbf{0} & \boldsymbol{a} & \mathbf{3} \\ \mathbf{2} & \boldsymbol{b} & \mathbf{- 1} \\ \boldsymbol{c} & \mathbf{1} & \mathbf{0}\end{array}\right] \) is a skew
symmetric matrix, find \( a, b \) and \( c \)
| 2 |
Maths
|
One of the most widely used drug in
medicine, iodex is:
A. Methyl salicylate
B. Ethyl salicylate
c. Acetyl salicylic acid
D. O-hydroxybenzoic acid
| 1 |
Chemistry
|
A stone is thrown in vertically upward direction with a velocity of \( 5 m s^{-1} \). If the acceleration of the stone during its
motion is \( 10 \mathrm{ms}^{-2} \) in the downward direction, what will be the height
attained by the stone and how much time will it take to reach there?
A. Height=1.25 \( m \) and time \( =0.5 \) s
B. Height= 2.5 \( m \) and time \( =0.5 \) s
c. Height= \( 2.5 \mathrm{m} \) and time \( =0.05 \mathrm{s} \)
D. Height=1.25 \( m \) and time \( =0.05 \) s
| 3 |
Physics
|
If \( \boldsymbol{x}^{\boldsymbol{y}}=\boldsymbol{a}^{\boldsymbol{x}}, \) prove that \( \frac{\boldsymbol{d} \boldsymbol{y}}{\boldsymbol{d} \boldsymbol{x}}=\frac{\boldsymbol{x} \log _{e} \boldsymbol{a}-\boldsymbol{y}}{\boldsymbol{x} \log _{e} \boldsymbol{x}} \)
| 2 |
Maths
|
Select the correct combination of the statements (i - iv) regarding the characteristics of certain organisms.
(i) Methanogens are archaebacterial which produces methane in marshy
areas
(ii) Nostoc is a filamentous blue-green alga which fixed atmospheric nitrogen.
(iii) Chemosynthetic autotrophic bacteria synthesize cellulose from glucose.
(iv) Mycoplasma lacks a cell wall and can survive without oxygen.
A . (ii) and (iii)
B. (i), (ii) and (iii)
c. (ii), (iii) and (iv)
D. (i), (ii) and (iv)
| 0 |
Biology
|
When a base combine with metal it
forms metal salt/base and releases:
A. oxygen
B. hydrogen
c. carbon dioxide
D. nitrogen
| 1 |
Chemistry
|
What is empirical formula give an example ? For a compound whose empirical formula and molecular formula are same, give an example.
| 1 |
Chemistry
|
What is the \( Q- \) value of the reaction?
\( \boldsymbol{P}+^{7} \boldsymbol{L i} \rightarrow^{4} \boldsymbol{H} \boldsymbol{e}+^{4} \boldsymbol{H} \boldsymbol{e} \)
The atomic masses of \( ^{1} \boldsymbol{H},^{4} \boldsymbol{H} \boldsymbol{e} \) and \( ^{7} \boldsymbol{L} \boldsymbol{i} \)
are \( 1.007825 u, 4.0026034 u \) and
\( 7.016004 u \) respectively
A . 17.35 MeV
в. \( 18.06 \mathrm{MeV} \)
c. 177.35 МеV
D. 170.35 MeV
| 3 |
Physics
|
Find out the approximate amount of polythene formed from 20kg of calcium carbide from the following reactions.
\( \boldsymbol{C a} \boldsymbol{C}_{2}+\mathbf{2} \boldsymbol{H}_{2} \boldsymbol{O} \rightarrow \boldsymbol{C a}(\boldsymbol{O H})_{2}+\boldsymbol{C}_{2} \boldsymbol{H}_{2} \)
\( \boldsymbol{H} \boldsymbol{C} \equiv \boldsymbol{C H}+\boldsymbol{H}_{2} \frac{\boldsymbol{P d} \cdot \boldsymbol{B a S O}_{4}}{\longrightarrow} \boldsymbol{C H}_{2}= \)
\( \boldsymbol{C H}_{2} \)
\( \boldsymbol{n} \boldsymbol{C} \boldsymbol{H}_{2}=\boldsymbol{C H}_{2} \rightarrow\left(-\boldsymbol{C H}_{2}-\boldsymbol{C H}_{2}-\right)_{n} \)
\( A \cdot 6 g \)
B. \( 9 \mathrm{kg} \)
\( \mathrm{c} .26 \mathrm{kg} \)
D. \( 29 \mathrm{kg} \)
| 1 |
Chemistry
|
Compound \( A_{(l)} \) and \( B_{(l)} \) function as a weak acid and weak base respectively
when dissolved in water. When pure \( A_{(l)} \)
is dissolved in anhydrous B \( _{(l)}, \) A will function as:
This question has multiple correct options
A. an acid
B. a base
c. a stronger acid than when dissolved in \( H_{2} \) O
D. a stronger base than when it is dissolved in \( H_{2} \) O
| 1 |
Chemistry
|
The gravitational force between two bodies is
A. repulsive at large distances
B. attractive at all places
c. attractive at short distances
D. repulsive at short distances
| 3 |
Physics
|
The weight of an object at the centre of
the earth of radius R is
A. zero
B. infinite
C . \( R \) times the weight at the surface of the earth
D. \( 1 / R^{2} \) times the weight at surface of the earth
| 3 |
Physics
|
A certain current liberated 0.504 gm of hydrogen in 2 hrs. How many grams of copper can be liberated by the same current flowing for the same time in a copper sulphate solution?
A. \( 12.7 \mathrm{gms} \)
B. 15.9 gms
c. \( 31.8 \mathrm{gms} \)
D. \( 63.5 \mathrm{gms} \)
| 1 |
Chemistry
|
Value based questions. Name the tissues where the following
structures occur:
Nissis granules
| 0 |
Biology
|
Permanganate ion reacts with bromide
ion in basic medium to give
magnesium dioxide and bromate ion.Write the balanced ionic equation
for the reaction.
| 1 |
Chemistry
|
John Newlands arranged the known elements in a/an order of
their atomic
A. increasing, masses
B. decreasing, masses
c. increasing, numbers
D. decreasing, numbers
| 1 |
Chemistry
|
Which of the following is affected by acid rains?
A. Infrastructure
B. Aquatic life
c. Plants
D. All of the above
| 1 |
Chemistry
|
\( \operatorname{Let} \mathbf{f}(\boldsymbol{x})=\left\{\begin{array}{ll}\frac{3 x+4 \tan x}{x} & \text { for } x \neq 0 \\ 7 & \text { for } x=0\end{array}\right. \)
\( \operatorname{then} f(x) \) is
A. continuous at \( x=0 \)
B. not continuous at \( x=0 \)
c. not determined at \( x=0 \)
D. \( L t_{x \rightarrow 0} f(x)=8 \)
| 2 |
Maths
|
For the reaction: \( \boldsymbol{P} \boldsymbol{C l} \boldsymbol{l}_{5}(\boldsymbol{g}) \rightarrow \boldsymbol{P} \boldsymbol{C l}_{3}(\boldsymbol{g})+ \)
\( \boldsymbol{C l}_{2}(\boldsymbol{g}) \)
\( \mathbf{A} \cdot \Delta H=\Delta E \)
B. \( \Delta H>\Delta E \)
c. \( \Delta H<\Delta E \)
D. Can't predicted
| 1 |
Chemistry
|
Adsorption of gases on solid surface is generally exothermic because:
A. enthalpy is positive
B. entropy decreases
c. entropy increases
D. free energy increases
| 1 |
Chemistry
|
Osteoporosis, an age-related disease of
skeleton system, may occur due to
A. Decreased level of estrogen
B. Accumulation of uric acid leading to inflammation of joints
C. Immune disorder affecting neuro-muscular junction leading to fatigue
D. High concentration of \( \mathrm{Ca}^{++} \) and \( \mathrm{Na}^{+} \)
| 0 |
Biology
|
Area bounded by the region \( \boldsymbol{R} \equiv \)
\( \left\{(x, y): y^{2} \leq x \leq|y|\right\} \) is
A \( \cdot \frac{4}{3} \)
B. \( \frac{3}{4} \)
c. \( \frac{1}{3} \)
D.
| 2 |
Maths
|
Name the product formed when chlorine
reacts with water.
| 1 |
Chemistry
|
In a container a mixture is prepared by mixing of three samples of hydrogen, helium ion \( \left(H e^{+}\right) \) and lithium ion
\( \left(L i^{2+}\right) \) In sample all the hydrogen atoms are in 1 st excited state and al
the He ions are in third excited state
and all the \( \left(L i^{2+}\right) \) ions are in fifth
excited state Find the total number of
spectral lines observed in the emission
spectrum of such a sample, when the electrons return back upto the ground
state
| 1 |
Chemistry
|
Rahim takes out all the hearts from the
cards. What is the probability of Picking out a diamonds.
| 2 |
Maths
|
What is the smallest positive integer \( \boldsymbol{K} \) such that \( 2000 \times 2001 \times K \) is a perfect
cube?
A \( \cdot 2^{3} \times 3^{3} \times 23^{3} \times 29^{3} \)
B . \( 2 \times 3 \times 23 \times 29 \)
c. \( 2 \times 3^{2} \times 23^{3} \times 29^{4} \)
D . \( 2^{2} \times 3^{2} \times 23^{2} \times 29^{2} \)
| 2 |
Maths
|
Consider the following statements and arrange in the order of true/false as
given in the codes.
\( S_{1}: \) In extraction of iron from haematite
ore, the reduction reactions take place
in the lower temperature range and in
the higher temperature range, in the blast furnace.
\( S_{2}: \) Sphalerite is a carbonate ore of zinc.
\( S_{3}: \) The principal ore of aluminium,
bauxite, usually contains silica, iron oxides and titanium oxide as
impurities
\( S_{4}: \) Solified copper obtained from silica lined convertor (Bessemer converter)
has blistered appearance due to the
evolution of \( \boldsymbol{S O}_{2} \)
\( \mathbf{A} \cdot \) Т \( F T T \)
B. FTFF
c. F FTT
D. TF F T
| 1 |
Chemistry
|
Rationalising the denominator of \( \frac{5}{\sqrt{3}-\sqrt{5}} \) is -
A \( \cdot\left(\frac{5}{2}(\sqrt{3}+\sqrt{5})\right. \)
B \( \cdot\left(-\frac{5}{2}(\sqrt{3}+\sqrt{5})\right. \)
c. \( \left(\frac{5}{2}(\sqrt{3}-\sqrt{5})\right. \)
D \( \cdot\left(-\frac{5}{2}(\sqrt{3}-\sqrt{5})\right. \)
| 2 |
Maths
|
Why does benzene undergo electrophilic substitution reactions easily and nucleophilic substitutions difficulty?
| 1 |
Chemistry
|
"The Castners process is the process
used for extraction of sodium in solid
state."
Answer whether the above statement is
true or false.
If true enter 1 , else enter 0
| 1 |
Chemistry
|
The linear momentum of a particle is given by \( \boldsymbol{P}=(\boldsymbol{a} \sin \boldsymbol{t} \hat{\boldsymbol{i}}-\boldsymbol{a} \cos \boldsymbol{t} \hat{\boldsymbol{j}}) \) kg-
\( \mathrm{m} / \mathrm{s} \) A force \( \overrightarrow{\boldsymbol{F}} \) is acting on the particle Select correct alternative/s
A. Linear momentum \( \vec{P} \) of particle is always parallel to
B. Linear momentum \( \vec{P} \) of particle is always perpendicular to \( \vec{F} \)
c. Linear momentum \( \vec{P} \) is always constant
D. Magnitude of linear momentum is constant with respect to time
| 3 |
Physics
|
Consider the reaction:
\( \boldsymbol{N} \boldsymbol{O}_{2} \rightleftharpoons \frac{1}{2} \boldsymbol{N}_{2}+\boldsymbol{O}_{2}, \boldsymbol{K}_{1} \)
\( N_{2} O_{4} \rightleftharpoons 2 N O_{2}, K_{2} \)
Give the equilibrium constant for the
formation of \( N_{2} O_{4} \) from \( N_{2} \) and \( O_{2} \)
A \( \cdot \frac{1}{K_{1}^{2}} \frac{1}{K_{2}} \)
в. \( \frac{1}{K_{1} K_{2}} \)
c. \( \sqrt{\frac{1}{K_{1} K_{2}}} \)
D. \( \frac{K_{2}}{K_{1}} \)
| 1 |
Chemistry
|
f \( \boldsymbol{y}=\boldsymbol{x}^{2}+\boldsymbol{x}, \) then find \( \frac{\boldsymbol{d} \boldsymbol{y}}{\boldsymbol{d} \boldsymbol{x}} \)
| 2 |
Maths
|
A magnetic needle suspended horizontally by an unspun silk fibre oscillates in the horizontal plane,
because of the restoring force originating mainly from
A. the torsion of the silk fibre
B. the horizontal component of earth's magnetic field
c. the force of gravity
D. all of the above
| 3 |
Physics
|
Immature gular fruit is
A. Berry
B. Samara fruit
c. Hypanthodium inflorescence
D. Swollen twig tip
| 0 |
Biology
|
In what ratio does (-4,6) divides the line segment joining the point \( \boldsymbol{A}(-\mathbf{6}, \mathbf{4}) \)
and \( B(3,-8) \)
| 2 |
Maths
|
What do you mean by "Rectilinear
Propagation" of Light?
A. Light travels in a straight line
B. Light travels in a curved path
C. Light exhibits dual nature of particle and wave
D. Light gets deviated when it moves in another medium
| 3 |
Physics
|
\( R-C H_{2}-C H_{2} O H \) can be converted
into \( R C H_{2} C H_{2} C O O H \) by the following
sequence of steps:
\( \mathbf{A} \cdot P B r_{3}, K C N, H_{2} / P t \)
B. \( P B r_{3}, K C N, H_{3} O^{+} \)
c. \( H C N, P B r_{3}, H_{3} O^{+} \)
D. \( K C N, H_{3} O^{+} \)
| 1 |
Chemistry
|
A ray of light, after refraction through a
convex lens emerges parallel to the
principal axis. The incident ray when produced appear to come from a point on principal axis. Name the point :
A. first focus
B. first centre
c. last focus
D. last centre
| 3 |
Physics
|
Draw a triangle \( A B C \) with side \( B C= \)
\( \mathbf{7} c \boldsymbol{m}, \angle \boldsymbol{B}=\mathbf{4 5}^{o}, \angle \boldsymbol{A}=\mathbf{1 0 5}^{\circ} . \) Then
construct a triangle whose side are \( \frac{4}{3} \)
times the corresponding sides of \( \triangle A B C . \) Write the construction.
| 2 |
Maths
|
Gametophytic generation is dominant
in
B. Bryophyta
c. Angiosperms
D. Gymnosperms
| 0 |
Biology
|
\( \boldsymbol{C F}_{2}=\boldsymbol{C F}_{2} \) is a monomer of:
A. Teflon
B. Orlon
c. Polythene
D. Nylon-6
| 1 |
Chemistry
|
Find the smallest number which should
be multiplied to 1352 to get a perfect
cube.
\( \mathbf{A} \cdot 12 \)
B . 13
c. 61
D. 21
| 2 |
Maths
|
A resistor of resistance \( 100 \Omega \) is
connected to an AC source \( \varepsilon= \)
\( (12 V) \sin \left(250 \pi s^{-1}\right) t . \) Find the energy
dissipated as heat during \( t=0 \) to \( t= \)
1.0 ms.
| 3 |
Physics
|
If \( f(x)=(x-1)(x-2) \) and interval
given was \( (0,4), \) find 'c' using Langrange's mean value theorem.
A \( \cdot 2+\frac{2}{\sqrt{3}} \)
B. \( 2-\frac{2}{\sqrt{3}} \)
c. 2
D. Both A and B
| 2 |
Maths
|
The observed osmotic pressure for a
\( 0.10 M \) solution of \( F e\left(N H_{4}\right)_{2}\left(S O_{4}\right)_{2} \) at
\( 25^{\circ} C \) is 10.8 atm. The expected and experimental (observed) values of Van't Hoff factor (i) will be respectively:
\( \left(\boldsymbol{R}=\mathbf{0 . 0 8 2} \quad \boldsymbol{L} \quad \boldsymbol{a t m} \quad \boldsymbol{k}^{-} \boldsymbol{m o l}^{-1}\right) \)
A. 5 and 4.42
B. 4 and 4.00
c. 5 and 3.42
D. 3 and 5.42
| 1 |
Chemistry
|
Discuss the continuity of the following
function at \( x=0 . \) If the function has a
removable discontinuity, redefine the
function so as to remove the
discontinuity
\( f(x)=\left\{\begin{array}{ll}\frac{4^{x}-e^{x}}{6^{x}}-1 & \text { for } x \neq 0 \\ \log \left(\frac{2}{3}\right) & \text { for } x=0\end{array}\right. \)
| 2 |
Maths
|
f \( a, b, c \) be positive and \( a b(a+b)+ \)
\( \boldsymbol{b} \boldsymbol{c}(\boldsymbol{b}+\boldsymbol{c})+\boldsymbol{c} \boldsymbol{a}(\boldsymbol{c}+\boldsymbol{a}) \geq \boldsymbol{\lambda} \boldsymbol{a} \boldsymbol{b} \boldsymbol{c}, \) then
value of \( \lambda \) is
| 2 |
Maths
|
A mixture of haematite, coke and limestone, on heating in blast furnace, gives molten iron metal. This is known
as:
A. Smelting
B. Calcination
c. Roasting
D. Liquation
| 1 |
Chemistry
|
The first stable product of
photosynthesis in \( C_{3} \) plants is
A. 3- phosphoglyceric acid
B. Dihydroxyacetone phosphate
c. Fructose- - 6 - diphosphate
D. Ribulose-1, 5- diphosphate
| 0 |
Biology
|
The developmental stages in a community are called as
A. Climax changes
B. Biological changess
c. Seral changes
D. Climatic changes
| 0 |
Biology
|
If a resistance \( R \) is melted and
recasted to half of its length, then the new resistance of the wire will be
A \( \cdot \frac{R}{2} \)
в. \( 2 R \)
c. \( R \)
D. \( \frac{R}{4} \)
| 3 |
Physics
|
\( m \)
| 3 |
Physics
|
If \( X \) follows a binomial distribution
with parameters \( n=8 \) and \( P=\frac{1}{2}, \) than
\( \boldsymbol{P}(|\boldsymbol{x}-\mathbf{4}| \leq \mathbf{2})= \)
A \( \cdot \frac{119}{128} \)
в. \( \frac{9}{128} \)
c. \( \frac{101}{128} \)
D. \( \frac{11}{128} \)
| 2 |
Maths
|
The sum of 'n' terms of two A.P.'s are in the ratio of \( \frac{5 n+2}{11 n-7} . \) Find the ratio of their sixth terms.
A . 32: 59
B. 1: 1
c. 2: 1
D. 1: 2
| 2 |
Maths
|
The device used for producing current is
called a
| 3 |
Physics
|
\( \ln a \triangle w i t h \) sides \( a, b \) and \( c, a \)
semicircle touching the sides \( A C \) and
\( C B \) is inscribed whose diameter lies on
\( A B . \) Then, the radius of the semicircle
is :
A \( \cdot \frac{a}{2} \)
в. \( \frac{\Delta}{s} \)
c. \( \frac{\Delta}{a+b} \)
D. \( \frac{2 \Delta}{a+b} \)
| 2 |
Maths
|
Rate constant for the decomposition of
ethylene oxide into \( C H_{4} \) and \( C O \) may
be described by the equation, \( \log \left[k\left(s^{-1}\right)\right]=14.34-\frac{1.25 \times 10^{4}}{T} \)
(a) What is the energy of activation of this reaction?
(b) What is the value of \( k \) at \( 670 K ? \)
| 1 |
Chemistry
|
Assertion
When an object is placed between two plane parallel mirrors, then all the images found are of equal intensity.
Reason
In case of plane parallel mirrors, only two images are possible.
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. Assertion is incorrect but Reason is correct
| 3 |
Physics
|
In a meter bridge circuit, resistance in
the left hand gap is \( 2 \Omega \) and an unknown resistance \( X \) is in the right hand gap as shown in Figure. The null point is found
to be \( 40 \mathrm{cm} \) from the left end of the wire.
What resistance should be connected to
\( x \) so that the new null point is \( 50 \mathrm{cm} \)
from the left end of the wire?
| 3 |
Physics
|
Which of the followings are Lewis
acids?
\( \boldsymbol{H}_{2} \boldsymbol{O}, \boldsymbol{B} \boldsymbol{F}_{3}, \boldsymbol{H}^{+}, \) and \( \boldsymbol{N} \boldsymbol{H}_{4}^{+} \)
| 1 |
Chemistry
|
The diagram alongside shows the
refraction of a ray of light from air to a
liquid. Angle of refraction is:
A \( \cdot 60^{\circ} \)
B . \( 15^{\circ} \)
\( c .30^{\circ} \)
D. \( 45^{\circ} \)
| 3 |
Physics
|
Molar heat capacity of water in equilibrium with ice at constant
pressure is :
A. zero
B. inifinity
c. \( 40.05 k J K^{-1} \) mol \( ^{-1} \)
D. \( 75.48 k J K^{-1} m o l^{-1} \)
| 3 |
Physics
|
The intensity at the maximum in a
Young's double slit experiment is \( \boldsymbol{I}_{\mathbf{0}} \)
Distance between two slits is \( d=5 \lambda \)
,where \( \lambda \) is the wavelength of light used in the experiment. What will be the intensity in front of one the slits on the
screen place at a distance \( \mathrm{D}=2 \mathrm{m} \)
| 3 |
Physics
|
Why nascent hydrogen is more reactive
than molecular hydrogen?
A. The production of nascent hydrogen is associated with the release of high energy. This released energy activates the nascent hydrogen and makes it more energy rich than that of ordinary occurring molecular hydrogen. Because more energy means more reactivity, nascent hydrogen is more reactive than molecular hydrogen.
B. In the time of formation nascent hydrogen is in the form of minute bubbles with high internal pressure which makes it more reactive.
C. both \( A \) and \( B \)
D. none of these
| 1 |
Chemistry
|
A system in thermodynamic equilibrium will have the following equilibrium(s):-
A. Thermal equilibrium
B. Mechanical equilibrium
c. chemical equilibrium
D. All of these
| 1 |
Chemistry
|
\( P I_{3} \) upon hydrolysis give:
A. monobsic acid and dibasic acid.
B. monobasic acid and tribasic acid.
C. monobasic acid and a salt.
D. dibasic acid and tribasic acid.
| 1 |
Chemistry
|
The IUPAC name of sec. butyl alcohol is:
A. 1-butanol
B. 2-butanol
c. 2-methyl-1-butanol
D. 2-methyl-2-butanol
| 1 |
Chemistry
|
\( \Delta S^{\ominus} \) for the cell reaction assuming
that these quantities remain
unchanged in the range \( 15^{\circ} C \) to \( 35^{\circ} C \) is:
A \( \cdot 193 J K^{-1} \)
B. -193 Л \( K^{-1} \)
\( \mathbf{c} \cdot 1930 J K^{-1} \)
D. \( -1930 J K^{-1} \)
| 1 |
Chemistry
|
The sum of the series \( 1+\frac{\log _{e} x}{1 !}+ \)
\( \frac{\left(\log _{e} x\right)^{2}}{2 !}+\dots \dots . . \) is
A . \( x \)
B . \( x^{2} \)
c. \( x^{3} \)
D. none of these
| 2 |
Maths
|
limiting friction is slightly greater than friction.
| 3 |
Physics
|
How many molecules of glycine is
required to release one \( C O_{2} \) molecule in
photorespiration?
A. one
B. Two
c. Three
D. Four
| 0 |
Biology
|
The ion which shows maximum
paramagnetic character among the bivalent ions of the first transition
metal series is :
\( A \cdot C_{0}^{2} \)
B. \( c u^{2} \)
\( c \cdot c r^{2} \)
D. \( \mathrm{Fe}^{2} \)
\( E \cdot M n^{2} \)
| 1 |
Chemistry
|
(i) Write IUPAC name of \( \boldsymbol{C H}_{3} \boldsymbol{C H}_{2} \boldsymbol{N H}_{2} \)
(ii) Arrange the following amines in the order of their increasing basic strength in aqueous solution.
\( \left(\boldsymbol{C} \boldsymbol{H}_{3}\right)_{3} \boldsymbol{N}_{1}\left(\boldsymbol{C} \boldsymbol{H}_{3}\right)_{2} \boldsymbol{N} \boldsymbol{H}_{1} \boldsymbol{C} \boldsymbol{H}_{3} \boldsymbol{N} \boldsymbol{H}_{2} \)
| 1 |
Chemistry
|
Evaluate \( \int_{0}^{2}|1-x| d x \)
| 2 |
Maths
|
In a uniform circular motion, radial
acceleration is due to
A. Change in position of the particle along \( X \) axis
B. Change in position of the particle along Y axis
C. Change in direction of tangential velocity
D. Change in magnitude of tangential velocity
| 3 |
Physics
|
A ball is thrown vertically up. If the ball reached at maximum height in \( 3 s \) Assume air resistance is negligible. The maximum height of the ball is most nearly :
A . \( 10 m \)
B. \( 15 \mathrm{m} \)
c. \( 30 m \)
D. \( 45 m \)
E . \( 60 m \)
| 3 |
Physics
|
Two circular coils each of 100 turns are
held such that one lies in the vertical
plane and the other in the horizontal plane with their centres coinciding. The radius of vertical and horizontal coils
are \( 20 \mathrm{cm} \) and \( 30 \mathrm{cm} \) respectively. If the magnetic field at their common centre is zero, find current in each coil
Horizontal component of earth's magnetic field is 27.8 Aim and angle of
dip at this place is \( 30^{\circ} \)
| 3 |
Physics
|
The CGS unit of pressure is
A . dyne \( c m^{-2} \)
B. \( N m^{-2} \)
c. \( J m^{-2} \)
D. dyne \( c m^{-3} \)
| 3 |
Physics
|
The value of the determinant
\( \left|\begin{array}{ccc}\mathbf{1} & \boldsymbol{\omega}^{\mathbf{3}} & \boldsymbol{\omega}^{5} \\ \boldsymbol{\omega}^{\mathbf{3}} & \mathbf{1} & \boldsymbol{\omega}^{4} \\ \boldsymbol{\omega}^{\boldsymbol{5}} & \boldsymbol{\omega}^{\boldsymbol{4}} & \mathbf{1}\end{array}\right|, \) where \( \boldsymbol{\omega} \) is an imaginary
cube root of unity,is
A \( \cdot(1-\omega)^{2} \)
B. 3
\( c \cdot-3 \)
D. none of these
| 2 |
Maths
|
\( A \beta \) -pleated sheet organisation in a
polypeptide chain is an example of
A . \( 1^{\circ} \) structure
B. \( 2^{\circ} \) structure
c. \( ^{\circ} \) 3 structure
D. \( 4^{\circ} \) structure
| 1 |
Chemistry
|
If \( \boldsymbol{A}=\left[\begin{array}{cc}\mathbf{1} & \mathbf{2} \\ -\mathbf{3} & -\mathbf{6}\end{array}\right], \boldsymbol{B}=\left[\begin{array}{cc}\mathbf{7} & \mathbf{2} \\ -\mathbf{3} & -\mathbf{8}\end{array}\right] \)
\( \mathbf{2} \boldsymbol{X}+\boldsymbol{A}=\boldsymbol{B} . \) Find \( \boldsymbol{X} \)
\( \mathbf{A} \cdot\left[\begin{array}{cc}8 & 4 \\ -6 & -8\end{array}\right] \)
\( \mathbf{B} \cdot\left[\begin{array}{cc}1 & 2 \\ -3 & -6\end{array}\right] \)
\( \mathbf{c} \cdot\left[\begin{array}{cc}6 & 0 \\ 0 & -2\end{array}\right] \)
\( \mathbf{D} \cdot\left[\begin{array}{cc}3 & 0 \\ 0 & -1\end{array}\right] \)
| 2 |
Maths
|
A thermally insulated vessel contains
some water at \( 0^{\circ} \mathrm{C} \). The vessel is
connected to a vacuum pump to pump
out water vapour. This results in some
water getting frozen. It is given Latent heat of vaporization of water at \( 0^{\circ} C= \)
\( 21 \times 10^{5} J / k g \) and latent heat of
freezing water \( =\mathbf{3 . 3 6} \times \mathbf{1 0}^{\mathbf{5}} \mathbf{J} / \mathbf{k g} . \) The
maximum percentage amount of water that will be solidified in this manner
will be
A. \( 86.2 \% \)
B . \( 33.6 \% \)
c. \( 21 \% \)
D. \( 24.36 \% \)
| 3 |
Physics
|
The soil pore depicted in the image
helps in
A. Storage of air
B. Storage of water
c. Storage of carbon dioxide
D. Both A and B
| 0 |
Biology
|
If \( \left(A+B^{T}\right)^{T} \) is a matrix of order \( 4 \times 3 \)
then the order of matrix B is
\( A \cdot 3 \times 4 \)
B. \( 4 \times 3 \)
\( c \cdot 3 \times 3 \)
D. \( 4 \times 4 \)
| 2 |
Maths
|
The micro-organisms, which can live
without oxygen are:
A. bacteria
B. amoeba
c. paramoecium
D. blue-green algae
| 1 |
Chemistry
|
Two uniformly large parallel thin plates
having charge densities \( +\sigma \) and \( -\sigma \) are
kept in the \( X Z \) -plane at distance \( d \) apart. Sketch an equipotential surface due to electric field between the plates.
If a particle of mass \( m \) and charge \( -q \) remains stationary between the plates. What is the magnitude and direction of this field?
| 3 |
Physics
|
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