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In an examination there were 640 boys
and 360 girls. \( 60 \% \) of the boys and \( 80 \% \) of the girls were successful. The percentage of failures was:
A . 20
B. 60
c. 30.5
D. 32.8
| 2 |
Maths
|
In the figure 7.31 , radius of the circle is
\( \mathbf{7} \boldsymbol{c m} \) and \( \boldsymbol{m}(\boldsymbol{a} \boldsymbol{r} \boldsymbol{c} \boldsymbol{M} \boldsymbol{B} \boldsymbol{N})=\boldsymbol{6} \boldsymbol{0}^{o} \)
find Area of the circle.
A . 45
B . 42.96
c. 43.96
D. 44
| 2 |
Maths
|
Match column -I with column-II and
select the correct answer using the codes given below:
Column-I Colum -
\( \| \)
(A) Global warming Eutrophication
(B) Algal bloom
\( (q) C O \)
\( \mathbf{C O}_{\mathbf{2}} \)
(C) Nitrogen fixation Rhizobium
(D) Pseudomonas
(s) Fossil
Fuel
(E) Non-renewable resource
Denitrification
\( A \cdot(A)-p,(B)-q,(C)-r,(D)-t,(E)-s \)
B. (A)- q, (B)- \( p,(C)-r,(D)-t,(E)-s \)
C. \( (A)-q,(B)-p,(C)-r,(D)-s,(E)-s \)
D. \( (A)-q,(B)-p,(C)-s,(D)-r,(E)-t \)
| 0 |
Biology
|
\( A 30 g \) of ice that is at a temperature
\( 0^{\circ} \mathrm{C} \) falls 6 meters from the eaves of a
house to the ground below. If \( 5 \% \) of the kinetic energy that the ice possesses when it strikes the ground converts into heat, Identify the correct statement?
(Note: \( \left.\boldsymbol{H}_{f} \boldsymbol{w} \boldsymbol{a} \boldsymbol{t} \boldsymbol{e} \boldsymbol{r} \boldsymbol{0} . \boldsymbol{3} \boldsymbol{3} \boldsymbol{5} \boldsymbol{J} / \boldsymbol{g}\right) \)
A. The ice would become colder during the fall; therefore, no ice would melt
B. This would not happen because it would break the law of conservation of mass
c. Less than \( .3 g \) of the ice would melt
D. The frictional work done to stop the icicle's fall would use up all the energy and leave none for anything else
E. The icicle would shatter and the energy would convert into momentum
| 3 |
Physics
|
The area of the region, bounded by the curves \( \boldsymbol{y}=\sin ^{-1} \boldsymbol{x}+\boldsymbol{x}(\mathbf{1}-\boldsymbol{x}) \) and \( \boldsymbol{y}= \)
\( \sin ^{-1} x-x(1-x) \) in the first quadrant
is
\( A \cdot 1 \)
в. \( \frac{1}{2} \)
\( c \cdot \frac{1}{3} \)
D.
| 2 |
Maths
|
Fill in the blanks:
The perpendicular distance of a point (5,12,13) from \( Y \) -axis is
| 2 |
Maths
|
Which of the following is known as excretory organs of earthworm?
A. Coelom
B. Flame cells
c. Nephridia
D. Gizzardd
| 0 |
Biology
|
The earth's magnetic field at a certain place has a horizontal component of \( 0.3 G \) and total strength \( 0.5 G . \) Find
angle of dip in \( \tan ^{-1} \)
A \( \cdot \delta=\tan ^{-1} \frac{4}{3} \)
B. \( \delta=\tan ^{-1} \frac{3}{4} \)
c. \( \delta=\tan ^{-1} \frac{5}{3} \)
D. \( \delta=\tan ^{-1} \frac{3}{5} \)
| 3 |
Physics
|
The moment of inertia of a disc of
radius \( 0.5 \mathrm{m} \) about its geometric axis is \( 2 \mathrm{kg}-m^{2} . \) If a string is tied to its circumference and a force of 10 Newton is applied, the value of torque with respect to this axis will be :-
A. 2.5 N-m
B. 5 N-m
\( c \cdot 10 N-m \)
D. 20 N-m
| 3 |
Physics
|
In the figure above, point \( A \) and \( B \) lie on
the circle with center \( O . \) If \( x=80, \) what
is the value of \( z ? \)
A . \( 80^{\circ} \)
B. \( 60^{\circ} \)
\( c \cdot 50^{\circ} \)
D. \( 40^{\circ} \)
E .10
| 2 |
Maths
|
What would you predict for the atomic number of the noble gas beyond \( \boldsymbol{R} \boldsymbol{n} \), if
such an element has sufficient stability to be prepared or observed? Assume
that \( g- \) orbitals are still not occupied in the ground state of preceding elements.
| 1 |
Chemistry
|
Paramecium is a protist because of its
A. Eukaryotic unicellular structure
B. Prokaryotic unicellular structure
c. Mesokaryotic unicellular structure
D. None of these
| 0 |
Biology
|
Describe the internal structure of
human heart.
| 0 |
Biology
|
Calculate
(a) frequency and (b) wave-
number of yellow radiation having
wavelength \( 5800 A \)
| 1 |
Chemistry
|
IUPAC name of the compound is:
| 1 |
Chemistry
|
A positive charge 'q' of mass 'm' is moving along the +x axis. We wish to apply a uniform magnetic field \( B \) for
time \( \Delta t, \) so that the charge reverses its
direction, crossing the y axis at a distance \( d \). Then:
A \( \cdot B=\frac{m v}{q d} \) and \( \Delta t=\frac{\pi d}{v} \)
B. \( B=\frac{m v}{2 q d} \) and \( \Delta t=\frac{\pi d}{2 v} \)
c. \( _{B}=\frac{2 m v}{q d} \) and \( \Delta t=\frac{\pi d}{2 v} \)
D. \( B=\frac{2 m v}{q d} \) and \( \Delta t=\frac{\pi d}{v} \)
| 3 |
Physics
|
Consider the statements about
cellulose.
The correct statements is/are:
This question has multiple correct options
A. Cellulose is a colourless crystalline solid
B. It is mainly branched chain polysaccharideonly I
c. Its individual strands align with each other through a number of hydrogen bonds
D. It is rigid and acts as cell wall material
| 1 |
Chemistry
|
Order and degree of \( \left(1+y_{1}^{2}\right) y_{3}= \)
\( \mathbf{3} \boldsymbol{y}_{2} \boldsymbol{y}_{1}^{2} \) are:
A . 2,3
B. 2,
\( c \cdot 3, \)
D. 3,2
| 2 |
Maths
|
NAND and NOR gates are called universal gates primarily because they
A. are available universally
B. can be combined to produce OR, AND and NOT gates
c. are widely used in Integrated circuit packages
D. are easiest to manufacture
| 3 |
Physics
|
Find the dimensions of \( G \varepsilon_{0} .(G= \)
Universal Gravitational constant \( , \varepsilon_{0}= \)
permittivity in vacuum)
| 3 |
Physics
|
Find the value \( f(0) \) so that the function
\( \boldsymbol{f}(\boldsymbol{x})=\frac{1}{x}-\frac{2}{e^{2 x}-1}, \boldsymbol{x} \neq 0 \) is continuous
at \( x=0 \& \) examine the differentiability
of \( f(x) \) at \( x=0 \)
A \( \cdot f(0)=0, \) differentiable at \( x=0 \)
B. \( f(0)=0, \) not differentiable at \( x=0 \)
\( \mathrm{c} . f(0)=1, \) differentiable at \( x=0 \)
D. \( f(0)=1, \) not differentiable at \( x=0 \)
| 2 |
Maths
|
The equilibrium constant \( \boldsymbol{K}_{c} \) for the
reaction \( P_{4}(g) \rightleftharpoons 2 P_{2}(g) \)
is 1.4 at \( 400^{\circ} \mathrm{C} . \) Suppose that 3 moles of
\( P_{4}(g) \) and 2 moles of \( P_{2}(g) \) are mixed in
2 litre container at \( 400^{\circ} \mathrm{C} \). What is the
value of reaction quotient \( \left(Q_{c}\right) ? \)
\( A \cdot \frac{3}{2} \)
B. \( \frac{2}{3} \)
c. 1
D. None of these
| 1 |
Chemistry
|
A block is constrained to move along \( x \)
axis under a force \( F=-2 x \). Here, \( F \) is in
newton and \( x \) in metre. Find the work
done by this force when the block is displaced from \( x=2 m \) to \( x=-4 \) m.
A . -4 J
B. -8J
c. -12
D. -16
| 3 |
Physics
|
The minimum number of elements that
must be added to the relation \( \boldsymbol{R}= \)
\( \{(1,2)(2,3)\} \) on the set of natural
numbers so that it is an equivalence is
A . 4
B. 7
\( c .6 \)
D.
| 2 |
Maths
|
The force acting on a mass of 1g due to the gravitational pull on the earth is called lgwt. One gwt equals:
\( A \cdot 1 N \)
B. \( 9.8 \mathrm{N} \)
c. 980 dyne
D. none of these
| 3 |
Physics
|
Three charges \( 1 \mu C, 2 \mu C, \) and \( 3 \mu C \) are kept at vertices of an equilateral triangle of side \( 1 \mathrm{m} \). If they are brought nearer, so that they now form an
equilateral triangle of side \( 0.5 m, \) then
work done is :
A. \( 0.11 J \)
\( J \)
в. \( 11 J \)
c. \( 0.01 J \)
D. \( 1.1 \mathrm{J} \)
| 3 |
Physics
|
A stress strain curve plotted for two
wires are as shown. The labels 1 is the
elastic point, 2 and 3 are the yield
points wires \( A \) and \( B \). Which one is more
ductile
4.4
B. B
c. Both are brittle
D. Both are ductile
| 3 |
Physics
|
The minimum value of \( 2 x^{3}-9 x^{2}+ \)
\( 12 x+4 \) is
A . 4
B. 5
\( c .6 \)
D.
E. 8
| 2 |
Maths
|
Solubility of a substance depends on:
A. nature of solute
B. nature of solvent
c. temperature
D. all of the above
| 1 |
Chemistry
|
A solution of \( S O_{2} \) in water reacts with
\( \boldsymbol{H}_{2} \boldsymbol{S} \) precipitating sulphur. Here \( \boldsymbol{S O}_{2} \)
acts as:
A. Oxidising agent
B. Reducing agent
c. Acid
D. catalyst
| 1 |
Chemistry
|
Two point charges \( A=+3 \) nC and \( B= \)
+1 nC are placed \( 5 c m \) apart in air. The
work done to move charge \( B \) towards \( A \)
by \( 1 \mathrm{cm} \) is :
A \( \cdot 2.0 \times 10^{-7} J \)
В. \( 1.35 \times 10^{-7} J \)
c. \( 2.7 \times 10^{-7} J \)
D. \( 12.1 \times 10^{-7} \mathrm{J} \)
| 3 |
Physics
|
Construct a triangle \( M N P, \) whose
perimeter is \( 15 \mathrm{cm} \) and whose sides are
in the ratio 2: 3: 4
| 2 |
Maths
|
A sphere of mass \( m \) is moving with a velocity \( (4 \hat{i}-\hat{j}) m / s \) hits a surface and rebounds with a velocity \( (\hat{i}+3 \hat{j}) m / s . \) The coefficient of restitution between the sphere and the
surface is \( k / 16 . \) find the value of \( k \)
\( A \cdot 9 \)
B. 8
\( c \cdot 7 \)
D. 6
| 3 |
Physics
|
The angle between the lines \( x+y- \)
\( \mathbf{3}=\mathbf{0} \) and \( \boldsymbol{x}-\boldsymbol{y}+\mathbf{3}=\mathbf{0} \) is \( \boldsymbol{\alpha} \) and the
acute angle between the lines \( x- \) \( \sqrt{3 y}+2 \sqrt{3}=0 \) and \( \sqrt{3 x}-y+1=0 \)
is
\( \beta . \) Which one of the following is
correct?
A. \( \alpha=\beta \)
в. \( \alpha>\beta \)
c. \( \alpha<\beta \)
D. \( \alpha=2 \beta \)
| 2 |
Maths
|
Which part of the solar system is farthest from the sun?
A. Pluto
B. The Oort cloud
c. The asteroid belt
D. The milky way
E. The Kuiper belt
| 3 |
Physics
|
Evaluate the following limits. \( \lim _{x \rightarrow 1} \frac{1+(x-1)^{2}}{1+x^{2}} \)
| 2 |
Maths
|
Two particles are projected in air with
speed \( u \) at angles \( \theta_{1} \) and \( \theta_{2} \) (both acute) to the horizontal, respectively. If the height reached by the first particle is greater than that of the second, then
which one of the following is correct?
(where \( T_{1} \) and \( T_{2} \) are the time of flight.)
A. \( \theta_{1}>\theta_{2} \)
a
B \( \cdot \theta_{1}=\theta_{2} \)
c. \( T_{1}<T_{2} \)
D. \( T_{1}=T_{2} \)
| 3 |
Physics
|
Elastic waves in solid are:
A. Transverse Only
B. Longitudinal Only
C. Either transverse or longitudinal
D. Neither transverse nor longitudinal
| 3 |
Physics
|
A 1 m long uniform beam is balanced
as shown. Calculate the force \( F \)
\( A \cdot 2 N \)
B. 3 N
\( c \cdot 7 N \)
D. \( 11 N \)
| 3 |
Physics
|
Identify the correct statement for
change of Gibbs energy for a system \( (\Delta \)
\( \left.\mathrm{G}_{\text {system}}\right) \) at constant temperature and
pressure:
\( \mathbf{A} \cdot \) If \( \Delta \mathrm{G}_{\text {system}}>0, \) the process is spontaneous
B. If \( \Delta G_{s y s t e m}=0, \) the system has attained equilibrium
C. If \( \Delta G_{\text {system}}=0, \) the system is still moving in a particular direction
D. If \( \Delta \mathrm{G}_{\text {system}}<0 \), the process is not spontaneous
| 1 |
Chemistry
|
Fermentation is a type of anaerobic respiration that occurs in yeast and bacteria.What is the function of
fermentation?
I. Regenerate \( \boldsymbol{N} \boldsymbol{A} \boldsymbol{D}^{+} \) from \( \mathrm{NADH} \)
II. Produce oxygen as a waste product
III. Produce ATP
A. I only
B. II only
c. ॥ only
D. I and II only
E. I and III only
| 0 |
Biology
|
A sphere of mass \( \mathrm{m} \) and radius \( r \) is
projected in a gravity free space with speed \( v . \) If coefficient of viscosity of the medium in which, it moves is \( \frac{1}{6 \pi}, \) then the distance travelled by the body before it stops, is:
A \( \cdot \frac{m v}{2 r} \)
в. \( \frac{2 m v}{r} \)
c. \( \frac{m v}{r} \)
D. \( \frac{m v}{4 r} \)
| 3 |
Physics
|
Which of the following is an acid-base
neutralization reaction?
\( \mathbf{A} \cdot A g^{+}(a q)+C l^{-} \rightarrow A g C l(a q) \)
B \( \cdot C_{5} H_{12}(s)+8 O_{2}(g) \rightarrow 5 C O_{2}(g)+6 H_{2} O(l) \)
\( \mathbf{C} \cdot N H_{3}(s)+H_{2} O(s) \leftrightharpoons N H_{4}^{+}(s)+O H^{-}(s) \)
D. \( H C_{2} H_{3} O_{2}(l)+O H^{-}(a q) \rightarrow H_{2} O(O)+C_{2} H_{3} O_{2}^{-}(a q) \)
E \( \cdot C a C O_{3}(s) \rightarrow C a O(s)+C O_{2}(g) \)
| 1 |
Chemistry
|
Rank the following compounds with respect to increasing acidity:
\( A \cdot D<C<A<B \)
B. \( B<A<D<C \)
\( c \cdot B<A<C<D \)
\( D \cdot B<C<A<D \)
| 1 |
Chemistry
|
A resistor of \( 6 k \Omega \) with tolerance \( 10 \% \)
and another of \( 4 k \Omega \) with tolerance \( 10 \% \)
are connected in series.The tolerance of
combination is about
\( A \cdot 5 \% \)
B. \( 10 \% \)
\( c \cdot 12 \% \)
D. \( 15 \% \)
| 3 |
Physics
|
Inelastic collisions occur in :
I. Real gases
II. Ideal gases
III. Fusion reactions
Which of the following is correct option about the above problem?
A . I and II
B. II and III
c. I and III
D. I only
E. II only
| 1 |
Chemistry
|
a. Calculate e.m.f of cell for the reaction:
\( M g_{(s)}+C u^{2+}(0.0001 M) \rightarrow \)
\( M g^{2+}(0.001 M)+C u_{(s)} \)
Given that: \( E_{M g^{2+} / M g}^{o}=-2.37 \mathrm{V} \)
\( E_{C u^{2+} / C u}^{o}=+0.34 v \)
b. i) State Kohlrausch law.
ii) What is meant by limiting molar
conductance.
| 1 |
Chemistry
|
In an exothermic reaction, \( \Delta \boldsymbol{H} \) is:
A . positive
B. negative
c. zero
D. may be positive or negative
| 1 |
Chemistry
|
The number of capital letters of the English alphabets having both horizontal and vertical lines of
symmetry is -
A. 0
B.
\( c \cdot 4 \)
D.
| 2 |
Maths
|
A catalyst is a substance which:
A. Increases the equilibrium concentration of the product
B. Changes the equilibrium constant of the reaction
C. Shortens the time to reach equilibrium
D. Supplies energy to the reaction
| 1 |
Chemistry
|
If the points (1,0),(0,1) and \( (x, 8) \) are collinear, then the value of \( x \) is equal to
\( \mathbf{A} \cdot \mathbf{5} \)
B. -6
\( c \cdot 6 \)
D. -
| 2 |
Maths
|
Assertion
A disc rolls without slipping on a horizontal ground with uniform speed has 0 acceleration of lowest point.
Reason
velocity of the lowest point of the same
disc is zero
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 incorrect but Reason is correct
D. Both Assertion and Reason are incorrect
| 3 |
Physics
|
A real object is placed at a distance \( \frac{\boldsymbol{f}}{\mathbf{2}} \) in front of a concave mirror having focal length \( f . \) If object is shifted by a distance \( \frac{f}{4} \) away from the mirror. Find the ratio of final magnification to initial magnification.
A .4
B.
\( c \cdot \frac{1}{2} \)
D. 2
| 3 |
Physics
|
Assertion
An orbital cannot have more than two
electrons.
Reason
The two electrons in an orbital create
opposite magnetic field.
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
| 1 |
Chemistry
|
A point \( P \) lies on a line whose ends are \( A(1,2,3) \) and \( B(2,10,1) . \) If \( z \)
component of \( \boldsymbol{P} \) is \( \boldsymbol{7}, \) then the
coordinates of \( \boldsymbol{P} \) are
A \( \cdot(-1,-14,7) \)
B. (1,-14,7)
c. (-1,14,7)
D. (1,14,7)
| 2 |
Maths
|
Why is boiling point of ethyl bromide higher that that of ethyl chloride?
| 1 |
Chemistry
|
In certain parts of India muscular distrophy is commonly found among the poor people because they eat cheap
pulses of
A. Phaseolus mungo
B. Pisum sativum
c. Lathyrus sativus
D. Cicer
| 0 |
Biology
|
A body of mass 5 kg undergoes a change in speed from 30 to \( 40 \mathrm{m} / \mathrm{s} \). Its momentum would increase by :
A. \( 50 \mathrm{kg} \mathrm{m} / \mathrm{s} \)
B. 75 kg m/s
c. \( 150 \mathrm{kg} \mathrm{m} / \mathrm{s} \)
D. 350 kg m/s
| 3 |
Physics
|
If \( \sqrt{\sqrt{\mathbf{2 5 0 0}}+\sqrt{\mathbf{9 6 1}}}=(x)^{2}, \) then \( \boldsymbol{x} \)
equals
\( \mathbf{A} \cdot 81 \)
в.
c. 6561
\( D \)
| 2 |
Maths
|
Find the area of square with Perimeter
\( \mathbf{1 0 0 c m} \)
| 2 |
Maths
|
In volcanic eruptions, Sulphur undergoes following reaction:
\( \mathbf{2} \boldsymbol{H}_{2} \boldsymbol{S}(\boldsymbol{g})+\boldsymbol{S} \boldsymbol{O}_{2}(\boldsymbol{g}) \rightarrow \boldsymbol{3} \boldsymbol{S}(\boldsymbol{s})+\mathbf{2} \boldsymbol{H}_{2} \boldsymbol{O} \)
A. Disproportionation
B. Comproportionation
c. Neutralisation
D. Displacement
| 1 |
Chemistry
|
The hypothetical complex chloro
diaquatriamminecobalt(III) chloride can be represented as:
A \( \cdot\left[\operatorname{CoCl}\left(N H_{3}\right)_{3}\left(H_{2} O\right)_{2}\right] C l_{2} \)
в. \( \left[\operatorname{CoCl}\left(N H_{3}\right)_{3}\left(H_{2} O\right) C l_{3}\right] \)
c. \( \left[\operatorname{CoCl}\left(N H_{3}\right)_{3}\left(H_{2} O\right)_{2} C l\right. \)
D \( \cdot\left[\operatorname{CoCl}\left(N H_{3}\right)_{3}\left(H_{2} O\right)_{3} C l_{3}\right] \)
| 1 |
Chemistry
|
A circle touches the \( y \) -axis at (0,2) and has an intercept of 4 units on the positive side of the \( x \) -axis. Then the equation of the circle is?
A \( \cdot x^{2}+y^{2}-4(\sqrt{2} x+y)+4=0 \)
B . \( x^{2}+y^{2}-4(x+\sqrt{2} y)+4=0 \)
C \( \cdot x^{2}+y^{2}-2(\sqrt{2} x+y)+4=0 \)
D. none of these
| 2 |
Maths
|
Is the function defined by \( f(x)=|x|, \) a
continuous function?
| 2 |
Maths
|
Find the equation of the plane passing through the point (2,-1,1) and through the line of intersection of the planes \( \vec{r} \). \( (2 \hat{i}-3 \hat{j}+\hat{k})=3 \) and \( \vec{r} \cdot(\hat{i}+5 \hat{j}- \)
\( \hat{\boldsymbol{k}})=\mathbf{4 . 4} \)
| 2 |
Maths
|
At CMC, the surfactant molecules
undergoes:
A. association
B. aggregation
c. micelle formation
D. all of the above
| 1 |
Chemistry
|
The IUPAC name is: \( \boldsymbol{H}-\stackrel{\boldsymbol{C}}{\boldsymbol{C}}-\dot{\boldsymbol{C}}-\boldsymbol{C l} \)
A. 1,2 - dichoroethane
B. 2, 2 - dichloroethane
c. 1,1 - Dichloroethane
D. dichloroethane
| 1 |
Chemistry
|
In what ratio \( \mathrm{Cl}_{17}^{37} \) and \( \mathrm{Cl}_{17}^{35} \) be present so
as to obtain \( \mathrm{Cl}_{17}^{35.5} ? \)
A .1: 2
B. 1:
\( c \cdot 1: 3 \)
D. 3:
| 1 |
Chemistry
|
When \( H_{2} O_{2} \) is added to ice cold
solution of acidified potassium
dichromate in ether and the contents
are shaken and allowed to stand:
A. a blue colour is obtained in ether because of formation of \( C r O_{5} \)
B. a blue colour is obtained in ether because of formation of \( \mathrm{CrO}_{3} \)
c. a blue colour is obtained in ether because of formation \( \operatorname{of} C r_{2}\left(S O_{4}\right)_{3} \)
D. chromyl chloride is formed
| 1 |
Chemistry
|
How many moles of the iodine remain unreacted at equilibrium?
A . 0.388
в. 0.112
c. 0.25
D. 0.125
| 1 |
Chemistry
|
A cylindrical tube of uniform crosssectional area A is filled with two air
tight frictionless pistons. The pistons are connected to each other by a
metallic wire. Initially, the pressure of
the gas is \( p_{o} \) and temperature is \( T_{o} \)
atmospheric pressure is also \( p_{o} \$ . \) Now, the temperature of the gas is increased
to \( 2 T_{0}, \) the tension of wire will be.
A \( \cdot 2 p_{o} \)
в. \( p_{o} A \)
c. \( \frac{p_{o} A}{2} \)
D. \( 4 p_{o} A \)
| 3 |
Physics
|
Mark the true statement among the following with reference to normal
breathing.
A. Inspiration is a passive process whereas expiration is active
B. Inspiration is an active process whereas expiration is passive
C. Inspiration and expiration are active processes.
D. Inspiration and expiration are passive processes.
| 0 |
Biology
|
The study of chemical reactions at
surfaces of substances is called:
A. Photo chemistry
B. Surface chemistry
c. Thermo chemistry
D. None
| 1 |
Chemistry
|
Two sitar strings, \( A \) and \( B \), playing the
note 'Dha' are slightly out of tune and
produce beats and frequency 5 Hz.The tension of the string \( B \) is slightly increased and the beat frequency is
found to decrease by \( 3 H z \). If the frequency of \( \boldsymbol{A} \) is \( \mathbf{4 2 5} \boldsymbol{H} \boldsymbol{z}, \) the original frequency of \( \boldsymbol{B} \) is
A \( .430 H z \)
в. 428 Н \( z \)
c. \( 422 \mathrm{Hz} \)
D. \( 420 \mathrm{Hz} \)
| 3 |
Physics
|
The pyruvic acid formed during
glycolysis is oxidised to \( C O_{2} \) and \( H_{2} O \)
in a cycle called
A. Calvin cycle
B. Nitrogen cycle
c. Hill reaction
D. Krebs' cycle
| 0 |
Biology
|
Write balanced chemical equations for the following reactions:
Oxalic acid is treated with acidified
potassium permanganate solution
| 1 |
Chemistry
|
The energy stored per unit volume in copper wire, which produces longitudinal strain of \( 0.1 \% \) is:
\( \left(\boldsymbol{Y}=\mathbf{1 . 1} \times \mathbf{1 0}^{\mathbf{1 1}} \boldsymbol{N} / \boldsymbol{m}^{2}\right) \)
A \( \cdot 11 \times 10^{3} \mathrm{J} / \mathrm{m}^{3} \)
В . \( 5.5 \times 10^{3} J / m^{3} \)
\( \mathbf{c} \cdot 5.5 \times 10^{4} J / m^{3} \)
D. \( 11 \times 10^{4} J / m^{3} \)
| 3 |
Physics
|
The rate law for a reaction between the
substances \( A \) and \( B \) is given by:
Rate \( =\boldsymbol{K}[\boldsymbol{A}]^{n}[\boldsymbol{B}]^{m} . \) On doubling the
concentration of \( A \) and having concentration of \( B \) the ratio of new rate
law to the earlier rate of the reaction will
be as
\( \mathbf{A} \cdot n-m \)
B \( \cdot 2^{(n-m)} \)
c. \( \frac{1}{2^{m+n}} \)
D. \( m+n \)
| 1 |
Chemistry
|
If \( (1+a x)^{n}=1+8 x+24 x^{2}+\dots \) then
\( \boldsymbol{a} \times \boldsymbol{n} \) is:
\( \mathbf{A} \cdot \mathbf{8} \)
B. 12
c. 16
D . 24
| 2 |
Maths
|
Evaluate \( : \int \frac{1}{\sqrt{(x-1)(x-2)}} d x \)
A.
\[
\begin{array}{l}\text { B. } \log \left|\left(x-\frac{3}{2}\right)+\sqrt{x^{2}-3 x+2}\right|+C \\ \text { c. } \log \left(\left(x-\frac{3}{2}\right)+\sqrt{x^{2}-3 x+2}\right)+C \\ \text { D. } & =\log \left|\left(x-\frac{3}{2}\right)+\sqrt{x^{2}+3 x+2}\right|+C\end{array}
\]
| 2 |
Maths
|
Only RNA contains which of the
following base?
A. Thymine
B. Uraci
c. Adenine
D. Cytosine
| 0 |
Biology
|
A uniform but time-varying magnetic
field \( B_{(t)} \) exists in a circular region of radius a and is direction into the plane
of the paper, as shown in the figure. The magnitude of the electric field at point \( P \) at a distance \( r \) from the centre of the
circular region
\( A \). is zero
B. decreases as \( 1 / r \)
c. increases as
D. decrease as \( 1 / r^{2} \)
| 3 |
Physics
|
\( \frac{7 x^{3}+3 x^{2}-x+1}{x+1}=\left(a x^{2}+b x+c\right) \)
\( \frac{2}{x+1} \) then \( a= \)
A . 3
B. 7
\( c \cdot 1 \)
D.
| 2 |
Maths
|
The product formed in the given
reaction will react with \( x \) molecules of
\( C H_{3} M g B r . \) What is \( x ? \)
| 1 |
Chemistry
|
Assertion
The angular momentum of an electron in an atom is quantized.
Reason
In an atom only those orbits are permitted in which angular momentum of the electron is integral multiple of \( \frac{h}{2 \pi} \) where \( h \) is a plank's constant.
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
| 1 |
Chemistry
|
The first attempt to classify elements systemically was made by :
A. Mendeleev
B. Newland
c. Lother Meyer
D. Dobereiner
| 1 |
Chemistry
|
Which of the following best illustrates malleability?
A. Flow of thick fluid
B. Burning of glass
c. Hammering of steel
D. All of these
| 1 |
Chemistry
|
Define spring balance.
| 3 |
Physics
|
Starch is:
\( \mathbf{A} \cdot C_{12} H_{22} O_{11} \)
B. \( C_{6} H_{10} O_{5} \)
\( \mathbf{c} \cdot\left(C_{6} H_{10} O_{5}\right)_{n} \)
\( \mathbf{D} \cdot\left(C_{6} H_{12} O_{6}\right)_{n} \)
| 1 |
Chemistry
|
Let the potential energy of a hydrogen atom in the ground state be zero. Then its energy in the first excited state will
be
A. 10.2 eV
в. 13.6 еV
c. 23.8 eV
D. \( 27.2 \mathrm{eV} \)
| 3 |
Physics
|
Root pressure is measured by
A. Potometer
B. Barometer
c. Manometer
D. Auxanometer
| 0 |
Biology
|
The resultant of two vectors \( \vec{P} \) and \( \vec{Q} \) is
\( \vec{R} \). If the magnitude of \( \vec{Q} \) is doubled, the new resultant vector becomes
perpendicular to \( \vec{P} \). Then, the magnitude of \( \overrightarrow{\boldsymbol{R}} \) is equal to
\( A \cdot P+Q \)
в. \( P \)
c. \( P-Q \)
D. \( Q \)
| 3 |
Physics
|
Choose the correct combination
\begin{tabular}{cccc}
Hormone & Source & Functic \\
A. & Vasopressin & Posterior pituitary & Increas of wate through \\
B. & Norepinephrine & Adrenal medulla & Increas heart be respirat and ale \\
C. & Glucagon & \( \beta \) -cells of islet of Langerhans & Stimula glycoge \\
D. & Prolactin & Posterior pituitary & Regulat growth mamm glands milk formati females \\
\hline
\end{tabular}
\( A \cdot A \)
\( B . \quad B \)
\( c \cdot c \)
D.
| 0 |
Biology
|
Which one of the following statement(s)
is/are correct?
A. Brownian movement is more pronounced for smaller particles than for bigger ones.
B. Sols of metal sulphides are lyophilic.
C. According to the Schulze-Hardy law, the bigger the size of the ion, the greater is its coagulating power.
D. One would expect charcoal to adsorb chlorine more strongly than hydrogen sulphide.
| 1 |
Chemistry
|
Haemocoel is found in
A. Hydra
B. Ascaris
c. Earthworm
D. cockroach
| 0 |
Biology
|
The reaction \( \boldsymbol{C} \boldsymbol{H}_{3}-\boldsymbol{C H}_{2}-\boldsymbol{N} \boldsymbol{O}_{2}+ \)
\( \boldsymbol{O H}^{-} \longrightarrow \boldsymbol{C H}_{3}-\stackrel{\oplus}{\boldsymbol{C} \boldsymbol{H}}-\boldsymbol{N} \boldsymbol{O}_{2}+\boldsymbol{H}_{2} \boldsymbol{O} \)
obeys the rate law for pseudo first order
kinetics in the presence of a large excess of hydroxide ion. If \( 1 \% \) of nitro ethane undergoes reaction is half a minute when the reactant
concentration is \( 0.002 M . \) What is the
pseudo first order rate constant? \( (\log 99=1.996) \)
| 1 |
Chemistry
|
Identify the type of set \( \boldsymbol{B}=\{\boldsymbol{x}: \boldsymbol{x} \boldsymbol{\epsilon} \boldsymbol{W}, \boldsymbol{x}=\boldsymbol{2} \boldsymbol{n}\} \)
A. Finite Set
B. Null Set
c. Infinite Set
D. singleton set
| 2 |
Maths
|
In which year Robert Hooke presented his law of elasticity?
A . 1672
в. 1674
c. 1676
D. 1678
| 3 |
Physics
|
List 1 and List 2 contains four entries
each. Entries of List 1 are to be matched
with some entries of List 2. One or more
than one entries of List 1 may have the matching with the same entries of List
2
| 1 |
Chemistry
|
An electricity bulb of 100 watt is connected to supply of electricity of 220V. Resistance of filament is
A . \( 484 \Omega \)
в. \( 100 \Omega \)
c. \( 22000 \Omega \)
D. 242\Omega
| 3 |
Physics
|
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