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Calculate the arithmetic mean for the
following data using step deviation method.
\( \begin{array}{lllll}\text { Marks } & 0- & 10- & 20- & 30- \\ & 10 & 20 & 30 & 40\end{array} \)
No. of
students 15 22 8
| 2 |
Maths
|
The number of stomatal pores per \( c m^{2} \) of leaf surface are in the range of
A \( .1000-60,000 \)
B. 10 - 1000
c. \( 50,000-100,000 \)
D. 50-100
| 0 |
Biology
|
If the initial concentrations in a particular mixture of reactants and
products are \( \left[\boldsymbol{P C l}_{5}\right]=\mathbf{0 . 5} \boldsymbol{M},\left[\boldsymbol{P C l}_{3}\right]= \)
\( 0.15 M, \) and \( \left[C l_{2}\right]=0.6 M, \) the direction
in which the reaction proceed to reach equilibrium is:
A \( \cdot \) to the left \( \left[P C l_{5}\right]=0.325 M ;\left[P C l_{3}\right]=0.295 M ;\left[C l_{2}\right]= \)
\( 0.735 M \)
B. to the left, \( \left[P C l_{5}\right]=0.315 M ;\left[P C l_{3}\right]=0.245 M ;\left[C l_{2}\right]= \)
\( 0.735 M \)
c. to the right, \( \left[P C l_{5}\right]=0.365 M ;\left[P C l_{3}\right]= \) \( 0.285 M ;\left[C l_{2}\right]=0.735 M \)
D. None of these
| 1 |
Chemistry
|
In a chemical reaction, oxidation is
always accompanied by reduction
If true enter 1 , else enter 0 .
\( A \)
| 1 |
Chemistry
|
If the potential energy between electron and proton at a distance \( r \) is given by \( U=-\left(\frac{k e^{2}}{3 r^{3}}\right) . \) The force is :
A \( \cdot_{F}=\frac{k e^{2}}{r^{2}} \)
B. \( _{F}=-\frac{3}{4} \frac{k e^{2}}{r^{4}} \)
\( ^{\mathrm{c}} \cdot_{F}=\frac{k e^{2}}{r^{4}} \)
D. \( _{F}=\frac{k e^{2}}{r} \)
| 3 |
Physics
|
If \( x^{5}-9 x^{2}+12 x-14 \) is divisible by
\( (x-3), \) what is the remainder?
\( A \cdot 0 \)
B.
\( c .56 \)
D. 184
| 2 |
Maths
|
The term reflection refers to the bending of light rays:
A. when they strike a mirror
B. when they enter a different medium
c. around a sharp edge
D. around the boundary of a narrow aperture
| 3 |
Physics
|
Assertion
Ratio of maximum intensity and minimum intensity in interference is 25
1. Hence amplitude ratio of two waves should be 3: 2
Reason
\( \frac{\boldsymbol{I}_{m a x}}{\boldsymbol{I}_{m i n}}=\left(\frac{\boldsymbol{A}_{1}+\boldsymbol{A}_{2}}{\boldsymbol{A}_{1}-\boldsymbol{A}_{2}}\right)^{2} \)
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
|
What is the area of the triangle formed by the points \( (a, c+a),(a, c) \) and
\( (-a, c-a) ? \)
A. \( -a^{2} \)
B. \( \frac{1}{a^{2}} \)
c. \( a^{2}+a \)
D. zero
| 2 |
Maths
|
Mole fraction =
A. \( \frac{\text { Number of moles of constituent }}{\text { Number of moles of all constituents }} \)
B. Number of molecule of constituent + Total number of
moles of all constituents
C. Both (A) and (B) above
D. None of the above
| 1 |
Chemistry
|
Classify the following function as injection, surjection or bijection:
\( \boldsymbol{f}: \boldsymbol{R} \rightarrow \boldsymbol{R}, \) defined by \( \boldsymbol{f}(\boldsymbol{x})=\mathbf{1}+\boldsymbol{x}^{2} \)
| 2 |
Maths
|
A sphere of radius \( 1 m \) is rolling on a
rough horizontal surface. The magnitude of velocity of \( A \) w.r.t. \( B \) is
A . \( v_{c m} \)
B . \( v_{c m} / 2 \)
c. \( 1.73 v_{c m} \)
D. zero
| 3 |
Physics
|
The \( _{\text {一一一一一一 }} \) product rule says that when the product of two terms is zero,
then either of the terms is equal to zero.
A. one
B. two
c. three
D. zero
| 2 |
Maths
|
A ray of light in a liquid of refractive
index 1.4 approaches the boundary surface between the liquid and air at an
angle of incidence whose sine is 0.8 Which of the following statement is correct about the behaviour of the light?
A. It is impossible to predict the behaviour of the light ray on the basis of the information supplied
B. The sine of the angle of refraction of the emergent ray will be less than 0.8
C. The ray will be internally reflected
D. The sine of the angle of refraction of the emergent ray will be greater than 0.8
| 3 |
Physics
|
Find the distances between the
following pair of parallel lines:
\( \mathbf{3} \boldsymbol{x}+\mathbf{4} \boldsymbol{y}+\mathbf{9}=\mathbf{0}, \mathbf{6} \boldsymbol{x}+\mathbf{8} \boldsymbol{y}+\mathbf{1 5}=\mathbf{0} \)
A \( \cdot \frac{3}{10} \)
B. \( \frac{3}{5} \)
c. \( \frac{33}{10} \)
D. \( \frac{24}{5} \)
| 2 |
Maths
|
In Reimer-Tiemann reaction, reactants
are:
A. phenol, \( C H C l_{3} \) and alkal
B. phenol, \( C C l_{4} \) and alkali
c. aniline, \( C H C l_{3} \) and alkal
D. both Phenol, \( C H C l_{3} \) and alkali and phenol, \( C C l_{4} \) and alkal
| 1 |
Chemistry
|
Number of hydrogen bonds between adenine and cytosine is:
A. 0
B.
\( c \cdot 2 \)
\( D \)
| 1 |
Chemistry
|
Evaluate \( \int_{0}^{\pi / 4} \sin ^{3} 2 t \cos 2 t d t \)
| 2 |
Maths
|
The resultant of two forces which
are equal in magnitude is equal to either of two vectors in magnitude. Find
the angle between the forces.
A .60
B . 45
\( c \cdot 90 \)
D. \( 120^{\circ} \)
| 3 |
Physics
|
In which case hydrolysis is faster
\( A \)
B.
c. at equal rate
D. no hydrolysis
| 1 |
Chemistry
|
Under what conditions permanent
electromagnet is obtained if a current carrying solenoid is used? Support your answer with the help of a labelled circuit diagram.
| 3 |
Physics
|
The heat of combustion of napthalene,
\( C_{10} H_{8}, \) at constant volume at \( 25^{\circ} \mathrm{C} \) was
found to be \( -5133 k J \) mol \( ^{-1} \)
Calaculate the value of enthalpy change
at constant pressure at the same temperature
| 1 |
Chemistry
|
In an experiment, 2.4 g of iron oxide on reduction with hydrogen gave 1.68 g of iron. In another experiment, 2.9 g of iron oxide gave 2.09 g of iron on reduction. Which law is illustrated from the above
data?
A. Law of constant proportions
B. Law of multiple proportions
c. Law of reciprocal proportions
D. Law of conservation of mass
| 1 |
Chemistry
|
Find the cube root of the following number by prime factorization method:
2744
| 2 |
Maths
|
If the equation \( a x^{2}+b x+c=0 \)
\( a, b, c \in R \) have non-real roots, then
This question has multiple correct options
A \( \cdot c(a-b+c)>0 \)
B. \( c(a+b+c)>0 \)
c. \( c(4 a-2 b+c)>0 \)
D. None of the above
| 2 |
Maths
|
Ramu and Somu are running towards north with \( 3 \mathrm{m} / \mathrm{s} \) and \( 4 \mathrm{m} / \mathrm{s} \). Their friend
Srinu is running towards south with 2 \( \mathrm{m} / \mathrm{s} . \) Then the magnitude of relative velocity of Somu w.r.t Ramu
\( A \cdot 1 \mathrm{m} / \mathrm{s} \)
B. 2 m/s
\( c \cdot 3 m / s \)
D. \( 4 \mathrm{m} / \mathrm{s} \)
| 3 |
Physics
|
If \( x \sin y=3 \sin y+4 \cos y, \) then \( \frac{d y}{d x}= \)
\( \mathbf{A} \cdot \frac{-\sin ^{2} y}{4} \)
B. \( \frac{\sin ^{2} y}{4} \)
\( \mathbf{c} \cdot \frac{-\cos ^{2} y}{4} \)
D. \( \frac{\cos ^{2} y}{4} \)
| 2 |
Maths
|
Q Type your question
4
\( B \)
\( c \)
ne of thes
| 1 |
Chemistry
|
If you were looking at the 3 D shape from the left side what would you see?
\( A \)
в.
\( c \)
D.
| 2 |
Maths
|
Evaluate the following integrals.
\( \int \frac{d x}{\sqrt{2 x-3 x^{2}+1}} \)
| 2 |
Maths
|
1 fermi is equal to
\( \mathbf{A} \cdot 10^{-15} \mathrm{m} \)
B. \( 10^{15} \mathrm{m} \)
\( \mathbf{C} \cdot 10^{-12} \mathrm{m} \)
\( D \cdot 10^{12} m \)
| 3 |
Physics
|
Total number of isomers for \( \boldsymbol{C}_{\mathbf{4}} \boldsymbol{H}_{\mathbf{6}} \boldsymbol{B} \boldsymbol{r}_{2} \)
containing cyclobutane ring are (including stereoisomers) are:
\( A \cdot 6 \)
B. 7
\( c \cdot 4 \)
D. 5
| 1 |
Chemistry
|
The heat of sun focussed by a convex lens on a piece of paper is capable of
A. Cooling the paper
B. Just heating the paper
c. Burning the paper
D. Folding the paper
| 3 |
Physics
|
Which molecule is relatively more stable?
\( A \cdot O_{2} \)
в. \( H_{2} \)
c. \( L i_{2} \)
D. \( N_{2} \)
| 1 |
Chemistry
|
Two gases \( A \) and \( B \) are taken in same volume containers under similar
conditions of temperature and
pressure. In container A, there are '2N' molecules of gas A. How many number molecules does container B have?
A . 2N
B. 4N
\( c \cdot N \)
D. 8N
| 1 |
Chemistry
|
The correct sequence of stages in the
evolution of the modern man (Homo
sapiens) is
A. Neanderthal man, Australopithecus, Cro-magnon man, Homoerectus, Modern man
B. Australopithecus, Homo sapiens, Neanderthal man, Cro-magnon man, Modern man
C. Homo erectus, Australopithecus, Neanderthal man, Cro-magnon man, Modern man
D. Australopithecus, Homo erectus, Neanderthal man, Cro-magnon man, Modern man
| 0 |
Biology
|
Largest blood vessel in body is
A. carotid artery
B. Dorsal aorta
c. Phrenic artery
D. Coronary artery
| 0 |
Biology
|
If \( A, B, C, D \) be any four points and \( E \) and \( F \) be the mid-points of \( A C \) and \( B D \) respectively, then \( \overrightarrow{\boldsymbol{A B}}+\overrightarrow{\boldsymbol{C B}}+\overrightarrow{\boldsymbol{C D}}+ \)
\( \overrightarrow{A D} \) is equal to
A \( .3 \overrightarrow{E F} \)
B. \( 4 \overrightarrow{E F} \)
c. \( 4 \overrightarrow{F E} \)
D. \( 3 \overrightarrow{F E} \)
| 2 |
Maths
|
A person travels along a straight road \( \boldsymbol{t} \)
for the first \( \frac{v}{3} \) time with a speed \( v_{1} \) and for the next \( \frac{2 t}{3} \) time with a speed \( v_{2} \) Then the mean speed \( v \) is given by :
| 3 |
Physics
|
What is abbreviated as 'H'?
A. Standard voltaic potential
B. Entropy
c. Enthalpy
D. Reaction rate
| 1 |
Chemistry
|
A horizontal overhead power line carries a current of \( 90 \mathrm{A} \) in east to west
direction. Magnitude of magnetic field due to the current \( 1.5 \mathrm{m} \) below the line is
A . 1.27
в. \( 1.2 \times 10^{-10} T \)
c. \( 0 T \)
D. \( 1.2 \times 10^{-5} T \)
| 3 |
Physics
|
Baking soda is a compound.
A. True
B. False
c. Either
D. Neither
| 1 |
Chemistry
|
What is the principle of cyclotron?
| 3 |
Physics
|
Find the probability that one will get 75 marks in the question paper of 100 marks.
A \( \cdot \frac{1}{101} \)
в. \( \frac{75}{100} \)
c. \( \frac{1}{100} \)
D. \( \frac{75}{101} \)
| 2 |
Maths
|
Most organelles show duplication in cell cycle during
A \( \cdot G_{1} \) - phase
B. \( G_{0} \) - phase
c. \( S \) -phase
D. \( G_{2} \) - phase
| 0 |
Biology
|
In an organic compound with molar mass \( 108 \mathrm{g}, \mathrm{C}, \mathrm{H}, \) and \( \mathrm{N} \) are present in the ratio 9: 1: 3.5 by mass. Molecular formula of the compound is:
A \( \cdot C_{6} H_{8} N_{2} \)
В. \( C_{7} H_{10} N \)
\( \mathbf{c} \cdot C_{5} H_{6} N_{3} \)
D. \( C_{4} H_{5} N_{3} \)
| 1 |
Chemistry
|
Alternation of generations is not found in bacterium E. coli due to the lack of
A. Syngamy
B. Reduction division
c. Nucleus
D. Chromosomes
| 0 |
Biology
|
Linnaeus proposed an outline of plant classification in
A. Genera Plantarum
B. Species Plantarurn
c. systema Naturae
D. Philosophia Botanica
| 0 |
Biology
|
An insoluble substance or mixture that
collects at the anode in an electrolytic \( r \) efining or plating process is known as
anode mud.
State True or False.
A . True
B. False
c. Cannot be determined
D. None of the above
| 1 |
Chemistry
|
How many molecules of ATP and NADPH
are require in formation of two molecules of glucose? How many Calvin cycles are required?
A. 36 ATP, 24 NADPH, 12 Calvin cycles
B. 18 ATP, 12 NADPH, 6 Calvin cycles
c. 36 ATP, 24 NADPH, 6 Calvin cycles
D. 24 ATP, 36 NADPH, 12 Calvin cycles
| 0 |
Biology
|
Monomer used to prepare orlon
is
\( \mathbf{A} \cdot H_{2} C=C H-C l \)
B \( \cdot F_{2} C=C F_{2} \)
\( \mathbf{c} \cdot H_{2} C=C H C N \)
D. \( H_{2} C=C(C l)-C H=C H_{2} \)
| 1 |
Chemistry
|
Principle behind the working of electric
generator?
A. When a conductor is moved in a magnetic field then voltage is induced in the conductor
B. When a conductor is moved in a magnetic field then current is induced in the conductor
\( c \cdot \) both
D. none
| 3 |
Physics
|
The magnetic field at the center of the
coil of radius \( r \) and carrying a current \( I \)
as shown in the figure is : (the wires crossing at \( P \) are insulated from each
other)
A \( \cdot \frac{\mu_{0}}{4 \pi} \frac{2 I}{r}(1+\pi) \)
в. \( \frac{\mu_{0}}{4 \pi} \frac{2 I}{r}(\pi-1) \)
c. \( \frac{\mu_{0}}{4 \pi} \frac{2 I}{r}\left(\pi^{2}+1\right) \)
D. \( \frac{\mu_{0}}{4 \pi} \frac{2 \pi I}{r} \)
| 3 |
Physics
|
A charge \( q \) is placed at the centre of the line joining two equal charges \( Q \). The system of three charges will be in equilibrium if \( q \) is equal to:
A \( \cdot-\frac{Q}{2} \)
в. \( -\frac{Q}{4} \)
\( c \cdot+\frac{Q}{4} \)
D. \( +\frac{Q}{2} \)
| 3 |
Physics
|
Why is that in certain plants deficiency
symptoms appear first in younger parts
of the plants while in others they do so in mature organ?
| 0 |
Biology
|
ldentify the unlabelled part of the
diagram.
A. Reflex arc
B. Impulse
C. Motor neuron
D. None of the above
| 0 |
Biology
|
Which ecological pyramid can never
occur in an inverted form?
A. Pyramid of number
B. Pyramid of biomass
c. Pyramid of energy
D. Pyramid of species richess
| 0 |
Biology
|
Match the following
List I
a. Static \( \quad \) e. constant for a given pair of friction \( \quad \) surfaces
b. Limiting \( \quad \) f. independent of area of contact friction
c. Kinetic \( \quad \) g. self adjusting friction
d. Rolling \( \quad \) h. has the least magnitude for a friction \( \quad \) given normal reaction
\( \mathbf{A} \cdot a \rightarrow e ; b \rightarrow f ; c \rightarrow g ; d \rightarrow h \)
B \( \cdot a \rightarrow h ; b \rightarrow f ; c \rightarrow e ; d \rightarrow g \)
\( \mathbf{c} \cdot a \rightarrow g ; b \rightarrow e ; c \rightarrow f ; d \rightarrow h \)
\( \mathbf{D} \cdot a \rightarrow g ; b \rightarrow h ; c \rightarrow f ; d \rightarrow e \)
| 3 |
Physics
|
Conjugate acid-base pair differ by:
A. electron
B. proton
c. neutron
D. hydroxyl group
| 1 |
Chemistry
|
Correct statement(s) in case of n-
butanol and t-butanol is (are):
This question has multiple correct options
A. both are having equal solubility in water
B. t-butanol is more soluble in water than n-butanol.
C. boiling point of t-butanol is lower than n-butanol.
D. boiling point of n-butanol is lower than t-butanol.
| 1 |
Chemistry
|
During the working of a galvanic cell and with the passage of time:
This question has multiple correct options
A. spontaneity of the cell reaction decreases, \( E_{c c l} \) decreases
B. reaction quotient Q decreases, E \( _{\text {cell } \text {increases }} \)
C . reaction quotient \( Q \) increases, \( E_{c e l l} \) decreases
D. at equilibrium, \( Q=K_{e q}, E_{c e l l}=0 \)
| 1 |
Chemistry
|
Which of the compounds is least soluble in water?
\( A \cdot A g F F \)
в. AgCI
c. AgBr
D. Agl
| 1 |
Chemistry
|
For real numbers \( x \) and \( y \) we write \( _{x} R_{y} \) iff \( \boldsymbol{x}-\boldsymbol{y}+\sqrt{\mathbf{2}} \) is an irrational numbers.
Then relation \( R \) is reflexive.
| 2 |
Maths
|
Find the square of the following
number.
68
| 2 |
Maths
|
\( A B C \) and \( B D E \) are two equilateral
triangles such that \( D \) is the midpoint of
\( B C . \) Ratio of the areas of triangles \( A B C \)
and \( B D E \) is
A .2: 1
B. 1: 2
\( c \cdot 4: 1 \)
D. 1: 4
| 2 |
Maths
|
Describe the functions of the heart.
| 0 |
Biology
|
According to JJ Thomson
model,Electrons in atom are
A. revolving around nucleus
B. embeded in nucleus
c. static around the nucleus
D. none of these
| 3 |
Physics
|
The law of triads was given by :
A. Dobereiner
B. Lewis
c. Mendeleev
D. Dalton
| 1 |
Chemistry
|
The number of metals from the
following:
\( \boldsymbol{A} \boldsymbol{s}, \boldsymbol{F} \boldsymbol{e}, \boldsymbol{X} \boldsymbol{e}, \boldsymbol{L} \boldsymbol{i}, \boldsymbol{B}, \boldsymbol{C l}, \boldsymbol{B} \boldsymbol{a}, \boldsymbol{P}, \boldsymbol{I}, \boldsymbol{S} \boldsymbol{i} \)
| 1 |
Chemistry
|
Solve \( \int \frac{x^{3}+4 x^{2}-7 x+5}{x+2} d x \)
| 2 |
Maths
|
In the diagram the area of cross section
of the pistons \( A \) and \( B \) are \( 8 c m^{2} \) and
\( 320 c m^{2} \) respectively then the thrust on
the piston at \( B \) is
A . \( 160 k g f \)
в. \( 320 k g f \)
c. \( 420 k g f \)
D. \( 80 k g f \)
| 3 |
Physics
|
Brown mottling of teeth occurs when
\( F^{-} \) ion concentration in drinking
water becomes:
A. less than 1 ppm
B. greater than 1 ppm
c. greater than 5 ppm
D. it does not depend on \( F^{-} \) ion concentration
| 1 |
Chemistry
|
The disease diabetes mellitus is
caused by the deficiency of:
A . lodine.
B. Insulin
c. Phenyl alanine hydroxylase.
D. Lysine
| 1 |
Chemistry
|
\( f\left|\begin{array}{ccc}6 i & -3 i & 1 \\ 4 & 3 i & -1 \\ 20 & 3 & i\end{array}\right|=x+i y \) then
A \( . x=3, y=1 \)
B. \( x=1, y=3 \)
c. \( x=0, y=3 \)
D. \( x=0, y=0 \)
| 2 |
Maths
|
Number of integral solutions satisfy
inequality \( |\boldsymbol{x}-\mathbf{3}|-|\mathbf{2 x}+\mathbf{5}| \geq|\boldsymbol{x}+\mathbf{8}| \)
is
A . 5
B. 6
\( c \cdot 7 \)
D.
| 2 |
Maths
|
Which of the following can travel through vacuum?
This question has multiple correct options
A . Light waves
B. Heat waves
c. \( x \) -rays
D. sound waves
| 3 |
Physics
|
Which term describes the tendency of elements to participate in a chemical change process?
A. Ionic radius
B. Reactivity
c. lonization enthalpy
D. Atomic radius
| 1 |
Chemistry
|
Choose the correct answer from the
alternatives given
Plant hormones
A. interact with one another
B. are influenced by environmental cues
c. are active in plant embryos within seeds
D. all of the above
| 0 |
Biology
|
Which of the following statements is true regarding the typical element belonging to \( 1^{s t} \) group of \( p \) - block elements?
This question has multiple correct options
A. The element forms amphoteric oxide
B. The element forms a sulphate of formula \( M_{2}\left(S O_{4}\right)_{3} \)
c. The element shows variable valency
D. The element is a metalloid
| 1 |
Chemistry
|
Plant tissue responsible for stiffness in husk of coconut is
A. Sclerids
B. Phloem cells
c. xylem fibres
D. Sclerenchyma fibres
| 0 |
Biology
|
A total of 28 handshakes was
exchanged at the conclusion of a party. Assuming that each participant was equally polite towards all the others, the number of people present was:
A . 14
B . 28
c. 56
D. 8
\( E .7 \)
| 2 |
Maths
|
Which one of the following is correctly matched?
A. Emulsion-Smoke
B. Gel-Butter
c. Sol-Whipped Cream
D. Aerosol-Hair cream
E. Foam-Mist
| 1 |
Chemistry
|
Assertion
A laser beam of \( 0.3 W \) can drill a hole
through metal sheet, whereas light of \( 1000 W \) can not do so
Reason
Laser beam has very high frequency
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
| 3 |
Physics
|
Given that she does not achieve
success, the chance she studied for 4
hour, is
A \( \cdot \frac{18}{26} \)
в. \( \frac{19}{26} \)
c. \( \frac{20}{26} \)
D. \( \frac{21}{26} \)
| 2 |
Maths
|
Which of the following is correct about
\( (A),(B) \) and \( (C) ? \)
A. \( A, B \) and \( C \) are anomers
B. A and C are anomers
\( \mathrm{c} \cdot \mathrm{A}, \mathrm{B} \) and \( \mathrm{C} \) are metamers
D. None of the above
| 1 |
Chemistry
|
During complete combustion of one
mole of butane, \( 2658 k J \) of heat is
released. The thermochemical reaction
for above change is:
\( \mathbf{A} \cdot 2 C_{4} H_{10}(g)+13 O_{2}(g) \rightarrow 8 C O_{2}(g)+10 H_{2} O(l) \Delta_{c} H= \)
\( -2658.0 k J \mathrm{mol}^{-1} \)
B.
\[
C_{4} H_{10}(g)+\frac{13}{2} O_{2}(g) \rightarrow 4 C O_{2}(g)+5 H_{2} O(g) \Delta_{c} H=
\]
\( -1329.0 k J \mathrm{mol}^{-1} \)
\( c \)
\[
C_{4} H_{10}(g)+\frac{13}{2} O_{2}(g) \rightarrow 4 C O_{2}(g)+5 H_{2} O(l) \Delta_{c} H=
\]
\( -2658.0 k J m o l^{-1} \)
D.
\[
C_{4} H_{10}(g)+\frac{13}{2} O_{2}(g) \rightarrow 4 C O_{2}(g)+5 H_{2} O(l) \Delta_{c} H=
\]
\( +2658.0 k J \mathrm{mol}^{-1} \)
| 1 |
Chemistry
|
Water is poured into a pan and heated over a flame. After some time, the hot water begins rising to the top. Which type of heat transfer is involved in this?
A. conduction
B. convection
c. radiation
D. thermal expansion
E. specific heat
| 3 |
Physics
|
If \( \vec{a}=\hat{i}+\hat{j}+\hat{k}, \vec{b}=4 \hat{i}+3 \hat{j}+4 \hat{k} \) and
\( \vec{c}=\hat{i}+\alpha \hat{j}+\beta \hat{k} \) are linearly dependent
vectors and \( |\vec{c}|=\sqrt{3} \) then
A. \( \alpha=1, \beta=-1 \)
В. \( \alpha=1, \beta=\pm 1 \)
c. \( \alpha=-1, \beta=\pm 1 \)
D. \( \alpha=\pm 1, \beta=1 \)
| 2 |
Maths
|
The area of three adjacent faces of a
cuboid are \( x, y \) abd \( z . \) If the volume is \( V \)
prove that \( V^{2}=x y z \)
| 2 |
Maths
|
A block of mass \( m \) is projected with velocity \( u \) forwards another identical
block with has a massless spring attached to its face. The spring constant of the spring is \( k \) and blocks are on smooth horizontal surface.
Maximum compression in the spring is:
A \( \cdot u \sqrt{\frac{2 m}{k}} \)
в. \( u \sqrt{\frac{m}{k}} \)
c. \( u \sqrt{\frac{m}{2 k}} \)
D. \( u \sqrt{\frac{m}{4 k}} \)
| 3 |
Physics
|
The electric field intensity at point 0 is
A. zero
В \( \cdot \frac{q}{4 \pi \epsilon_{0}}\left[\frac{1}{r^{2}}-\frac{1}{R_{1}^{2}}+\frac{1}{R_{2}^{2}}\right] \)
c. \( \frac{q}{4 \pi \epsilon_{0}}\left[\frac{1}{r^{2}}-\frac{1}{R_{1}^{2}}\right] \)
D. None of these
| 3 |
Physics
|
A parallel beam of light \( \lambda=5000 A^{\circ} \)
falls normally on a single narrow slit of
width \( 0.001 m m . \) The light is focused by a convex lens on a screen placed in the focal plane. The first minimum will be
formed for the angle of diffraction are equal to:
A . \( 0^{\circ} \)
В. \( 15^{\circ} \)
\( c \cdot 30^{0} \)
D. \( 50^{\circ} \)
| 3 |
Physics
|
Assertion
The mass of a substance is constant
whereas its weight may vary from one place to another.
Reason
Mass of a substance is the amount of
matter present in it while weight is the force exerted by gravity on an object.
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
|
A battery and a variable resistor are in
series with a small fan. A switch is
closed, and the fan runs. When the variable resistor is moved slightly to the left, the fan slows down a little. When
the variable resistor is moved slightly to the right, the fan speeds up a little. If the variable resistor in the circuit is set
all the way to the right, what happens in the circuit?
I. The fan runs faster
II. The voltage decreases.
III. The current increases.
A . I only
B. Il only
c. I and III only
D. I I and III only
E . I, II, and III
| 3 |
Physics
|
A \( 100 m H \) inductor, a \( 25 \mu F \) capacitor
and a \( 15 \Omega \) resistor are connected in
series to a \( 120 V, 50 H z \) ac source.
Calculate
(a) impedance of the circuit at
resonance
(b) current at resonance
(c) resonant frequency
A \( . \) (a) \( 16 \Omega \) (b) \( 9 A \) (c) \( 100 H z \) \( z \)
B. (a) \( 15 \Omega \) (b) \( 8 A \) (с) \( 100 H z \)
c. \( (\text { a) } 15 \Omega \)
(b) \( 8 A \) (с) \( 120 H z \)
D. (a) \( 15 \Omega \) (b) \( 7 A \) (с) \( 100 H z \)
| 3 |
Physics
|
It is given that event \( A \& B \) are such \( \operatorname{that} \boldsymbol{P}(\boldsymbol{A})=\frac{\mathbf{1}}{\mathbf{4}}, \boldsymbol{P}\left(\frac{\boldsymbol{A}}{\boldsymbol{B}}\right)= \)
\( \frac{1}{2}, P\left(\frac{B}{A}\right)=\frac{2}{3}, \) then \( P(B)= \)
\( A \cdot \frac{1}{3} \)
B. \( \frac{2}{3} \)
\( c \cdot \frac{1}{2} \)
D.
| 2 |
Maths
|
A charge q is situated at the centre of a square of side d. The electric field
intensity at the midpoint of a side is \( \mathrm{E}_{1} \)
and at one corner of the square is \( \mathrm{E}_{2} \)
Then, the ratio of \( E_{1} / E_{2} \) is :
A . 0.5
в. 0.7
c. 1
D.
| 3 |
Physics
|
A spherically symmetric charge distribution is characterised by a
charge density having the following variation:
\( \boldsymbol{p}(\boldsymbol{r})=\boldsymbol{p}_{o}\left(\mathbf{1}-\frac{r}{R}\right) \) for \( \boldsymbol{r}<\boldsymbol{R} \)
\( \boldsymbol{p}(\boldsymbol{r})=\mathbf{0} \) for \( \boldsymbol{r} \geqslant \boldsymbol{R} \)
Where \( r \) is the distance from the centre
of the charge distribution and \( p_{o} \) is a
constant. The electric field at an
internal point
\( ^{\text {A }} \cdot \frac{p_{o}}{4 \epsilon_{o}}\left(\frac{r}{3}-\frac{r^{2}}{4 R}\right) \)
в. \( \frac{p_{o}}{\epsilon_{o}}\left(\frac{r}{3}-\frac{r^{2}}{4 R}\right) \)
c. \( \frac{p_{o}}{3 \epsilon_{o}}\left(\frac{r}{3}-\frac{r^{2}}{4 R}\right) \)
D. \( \frac{p_{o}}{12 \epsilon_{o}}\left(\frac{r}{3}-\frac{r^{2}}{4 R}\right) \)
| 3 |
Physics
|
The order of boiling point of primary (1) secondary (2) and tertiary (3) alcohols is:
A \( \cdot 1>2>3 \)
B. 3 > 2 >1
\( c \cdot 2>1>3 \)
D. 2 >3>1
| 1 |
Chemistry
|
Relative permittivity of water is \( 81 . \) If \( \epsilon_{w} \)
and \( \epsilon_{0} \) are permittivities of water and
vacuum respectively, then :
A \( \cdot \epsilon_{0}=9 \epsilon_{w} \)
В . \( \epsilon_{0}=81 \epsilon_{w} \)
\( \mathbf{c} \cdot \epsilon_{w}=9 \epsilon_{0} \)
D. \( \epsilon_{w}=81 \epsilon_{0} \)
| 3 |
Physics
|
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