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The gravitational force with which the
earth attracts the moon:
A. is less than the force with which the moon attracts the earth
\( \mathbf{B} \). is equal to the force with which the moon attracts the earth
c. is greater than the force with which the moon attracts the earth
D. varies with the phases of the moon
| 3 |
Physics
|
When \( \log \left(\frac{x}{m}\right) \) is plotted against \( \log P \) we get a straight line with slope \( \frac{1}{n} \)
A . True
B. False
| 1 |
Chemistry
|
Check whether the following is a quadratic equation or not
\( (x+1)^{2}=2(x-3) \)
| 2 |
Maths
|
Q Type your question
(a) \( \mathbf{B r}_{\mathbf{2}} / \mathbf{r} \boldsymbol{e} \)
\( (b) B r_{2} / C C l_{4} \)
\( (c) \prod B B \)
(d) \( \boldsymbol{H} \boldsymbol{B} \boldsymbol{r} \)
This question has multiple correct options
\( \mathbf{A} \)
(a) and para
\( B \)
(b)
\( c \)
\( (c) \)
D. \( (1,2-\mathrm{H} \) shift gives more stable benzylic carbocation)
\( (d) \)
| 1 |
Chemistry
|
At what temperature will the hydrogen molecules escape from Earth's surface?
\( A \cdot 10^{4} K \)
B . \( 10^{3} \mathrm{K} \)
\( c \cdot 10^{2} k \)
D. \( 10^{1} \mathrm{k} \)
| 3 |
Physics
|
'The year 2016 will have February of \( \ldots \) days'.
A . 28
B. 29
c. 28.5
D. 30
| 3 |
Physics
|
Assertion
On cooling, the brown colour of nitrogen dioxide disappears.
Reason
On cooling, \( N O_{2} \) undergoes
dimerisation resulting in the pairing of
the odd electron in \( N O_{2} \)
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
| 1 |
Chemistry
|
The greater polarizability of anion gives rise to character for the
bond.
A . covalent
B. ionic
c. coordinate
D. none of these
| 1 |
Chemistry
|
Minimize \( z=6 x+2 y, \) Subject to \( x+ \)
\( 2 y \geq 3, x+4 y \geq 4,3 x+y \geq 3, x \geq \)
\( \mathbf{0}, \boldsymbol{y} \geq \mathbf{0} \)
| 2 |
Maths
|
Sum of the series \( 1+2.2+3.2^{2}+ \)
\( 4.2^{3}+\ldots+100.2^{99} \) is
B. \( 99.2^{100}+1 \)
D. \( 100.2^{100}-1 \)
| 2 |
Maths
|
When ATP is hydrolyzed, which of the bond is cleaved?
A. P-O-P bond
B. Sugar phosphate
c. Phosphate nucleotide bond
D. Nucleotide sugar bond
| 0 |
Biology
|
An arrangement with a pair of quarter circular coils of radii \( r \) and \( R \) with a
common centre \( C \) and carrying a
current I is shown.
The permeability of free space is \( \mu_{0} . \) The
magnetic field at \( \mathrm{C} \) is :
A \( \cdot \mu_{0} I(1 / r-1 / R) / 8 \) into the page
B. \( \mu_{0} I(1 / r-1 / R) / 8 \) out the page
C. \( \mu_{0}(1 / r+1 / R) / 8 \) into the page
D・ \( \mu_{0}(1 / r+1 / R) / 8 \) out the page
| 3 |
Physics
|
Find the value of \( K \) if the point \( A(2,3), B \) \( (4, K) \) and \( C(6,-3) \) are collinear?
| 2 |
Maths
|
Assertion
When number of turns in a coil is
doubled, coefficient of self-inductance
of the coil becomes 4 times.
Reason
This is because \( L \alpha N^{2} \)
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. Both Assertion and Reason are incorrect
| 3 |
Physics
|
The height of a room is 'a' and the areas of the two adjacent walls of a room are
b' and 'c'. The area of the roof will be
A \( \cdot \frac{b c}{a} \)
B. \( b c \)
c. \( \frac{a c}{b^{2}} \)
D. \( \frac{b c}{a^{2} c} \)
| 2 |
Maths
|
Prove that of all rectangles with given area, the square has the smallest perimeter.
| 2 |
Maths
|
An inert gas with more than one orbit,
has electrons in its outermost
shell.
\( A \cdot O \)
B. 2
\( c \cdot 4 \)
D. 8
| 1 |
Chemistry
|
Find the order of magnitude of length of rod having length \( \left(10^{6}+10^{3}\right) \mathrm{m} \)
| 3 |
Physics
|
A parallel-plate capacitor is charged from a cell and then disconnected from
the cell. The separation between the plates is now doubled. This question has multiple correct options
A. The potential difference between the plates will become double
B. The field between the plates will not change.
c. The energy of the capacitor doubles
D. Some work will have to be done by an external agent on the plates.
| 3 |
Physics
|
Construct triangle \( \boldsymbol{A B C} \) in which
\( B C=5 c m, A B-A C=2.8 c m \) and
\( \angle B=40^{\circ} \)
| 2 |
Maths
|
Anhydrous \( A l C l_{3} \) is covalent however
when it is dissolved in water hydrated ionic species are formed. This transformation is owing to:
A. the trivalent state of Al
B. the large hydration energy of \( A l^{3+} \)
C. the low hydration energy of \( A l^{3} \)
D. the polar nature of water
| 1 |
Chemistry
|
A square hole of cross - sectional area
\( 4 c m^{2} \) is drilled across a cube with its
length parallel to a side of the cube. If
edge of the cube measures \( 5 c m, \) what is the total surface area of the body so formed?
A \( \cdot 140 \mathrm{cm}^{2} \)
В. \( 142 \mathrm{cm}^{2} \)
\( \mathrm{c} \cdot 162 \mathrm{cm}^{2} \)
D. \( 182 \mathrm{cm}^{2} \)
| 2 |
Maths
|
A part of circuit with current is shown.
The value of \( I \) is :
A \( .1 A \)
в. \( 2 A \)
\( c .4 A \)
D. zero
| 3 |
Physics
|
The total charge induced in a conducting loop when it is moved in magnetic field depends on
A. The rate of change of magnetic flux
B. Initial magnetic flux only
c. The total change in magnetic flux
D. Final magnetic flux only
| 3 |
Physics
|
Plant movement in response to diffuse
stimulus of light is
A. Phototropism
B. Photolysis
c. Phototaxis
D. Photonasty
| 0 |
Biology
|
\( \boldsymbol{B}(\boldsymbol{O} \boldsymbol{H})_{3}+\boldsymbol{N} \boldsymbol{a} \boldsymbol{O} \boldsymbol{H} \rightleftharpoons \boldsymbol{N} \boldsymbol{a} \boldsymbol{B} \boldsymbol{O}_{2}+ \)
\( \boldsymbol{N} \boldsymbol{a}\left[\boldsymbol{B}(\boldsymbol{O} \boldsymbol{H})_{4}\right]+\boldsymbol{H}_{2} \boldsymbol{O} \)
How can this reaction is made to
proceed in forward direction?
A. Addition of cis 1,2 diol
B. Addition of borax
c. Addition of trans 1,2 dio
D. Addition of \( N a_{2} H P O_{4} \)
| 1 |
Chemistry
|
If \( \sin \left(40^{\circ}+\theta\right)=b, 0<\theta<45 . \) find
\( \cos \left(70^{\circ}+\theta\right) \)
| 2 |
Maths
|
For three events \( A, B \) and \( C, P \) (Exactly
one of \( \boldsymbol{A} \text { or } \boldsymbol{B} \text { occurs })=\boldsymbol{P}( \) Exactly one
of \( B \text { or } C \text { occurs })=P(\text { Exactly one of } C \) or \( A \text { occurs })=\frac{1}{4} \) and \( P( \) All the three
events occur simultaneously) \( =\frac{1}{16} \)
Then the probability that at least one of the events occurs, is.
A \( \cdot \frac{7}{32} \)
в. \( \frac{7}{16} \)
c. \( \frac{7}{64} \)
D. \( \frac{3}{16} \)
| 2 |
Maths
|
A point moves along a circle with a velocity \( \boldsymbol{v}=\boldsymbol{a} \boldsymbol{t}, \) where \( \boldsymbol{a}=\mathbf{0 . 5 0} \boldsymbol{m} / \boldsymbol{s}^{2} \)
The total acceleration of the point at the moment when it covered the \( n^{t h}(n= \)
0.10) fraction of the circle after the
beginning of motion in \( m / s^{2} \) is \( \frac{x}{10} . \) Find
\( \mathcal{L} \)
| 3 |
Physics
|
In a straight contest, the loser polled
\( 42 \% \) votes and lost by 14400 votes. Find the total number of votes polled. If the total number of eligible voters was 1 lakh, find what percentage of voters did
not vote.
| 2 |
Maths
|
Amount of usable energy available for
work at uniform temperature and
pressure is
A. Gravitational energy
B. Free energy
c. Activation energy
D. Spontaneous energy
| 1 |
Chemistry
|
The coordinates of centre of mass of
particles of mass \( 10,20,30 g m \) are \( (1,1,1) c m . \) The position of coordinates
of mass \( 40 g m \) which when added to the
system, the position of combined centre
of mass be at (0,0,0) are
A \( \cdot(3 / 2,3 / 2,3 / 2) \)
B . \( (-3 / 2,-3 / 2,-3 / 2) \)
c. \( (3 / 4,3 / 4,3 / 4) \)
D. \( (-3 / 4,-3 / 4,-3 / 4) \)
| 3 |
Physics
|
The ripening fruits soften due to
A. Conversion of starch into sugars.
B. Solubilisation of pectates in middle lamella.
C. Formation of organic acids
D. Conversion of fats into carbohydrates.
| 0 |
Biology
|
What will be the product of the
reaction?
| 1 |
Chemistry
|
Three positive charge each of magnitude \( Q \) are placed at the corner of the equilateral tringle. The value of charges placed at the centroid of the triangle such that system must be in equilibrium is
\( ^{A} \cdot \frac{+Q}{\sqrt{3}} \)
в. \( \frac{-Q}{\sqrt{3}} \)
c. \( \frac{-2 Q}{\sqrt{3}} \)
D. \( \frac{+2 Q}{\sqrt{3}} \)
| 3 |
Physics
|
The angle of dip at equator is :
A \( \cdot 0^{\circ} \)
B . \( 45^{\circ} \)
\( c \cdot 60^{\circ} \)
D. \( 90^{\circ} \)
| 3 |
Physics
|
Number of electrons present in the last orbit generally is:
\( A \cdot 2 \)
B. 6
\( c \cdot 8 \)
D. 18
| 1 |
Chemistry
|
A circuit consists of a resistor,an
inductor and a capacitor connected in series. If the resistance of a resistor is
\( 25 \Omega \) and the value of inductive
reactance is equal to capacitive
reactance, then the net impedance of the circuit will be :
A . \( 5 \Omega \)
B. 25\Omega
c. \( 125 \Omega \)
D. \( 625 \Omega \)
| 3 |
Physics
|
The incenter of \( \Delta A B C \) with vertices
\( A(0,0,4), B(3,0,4), C(0,4,4) \) is
A \( .(1,1,1) \)
в. (1,1,2)
c. (1,1,3)
D. (1,1,4)
| 2 |
Maths
|
Which of the following halide does not hydrolyse?
A. \( \mathrm{NF}_{3} \)
в. PCls
c. \( \mathrm{AsCl}_{3} \)
D. \( \mathrm{SbCl}_{3} \)
| 1 |
Chemistry
|
\( \mathbf{7}^{\mathbf{N}^{\mathbf{1 4}}}+_{\mathbf{2}} \mathbf{H} e^{\mathbf{4}} \rightarrow \mathbf{X}+_{\mathbf{1}} \boldsymbol{H}^{\mathbf{1}} ; \mathbf{X} \) is
\( \mathbf{A} \cdot_{9} F^{18} \)
В. \( _{10} N e^{18} \)
\( \mathbf{c} \cdot_{8} O^{17} \)
\( \mathrm{D} \cdot_{6} C^{15} \)
| 3 |
Physics
|
The value of the expression \( \frac{2\left(\sin 1^{\circ}+\sin 2^{\circ}+\sin 3^{\circ}+\ldots+\sin 89^{\circ}\right)}{2\left(\cos 1^{\circ}+\cos 2^{\circ}+\ldots+\cos 44^{\circ}\right)+1} \)
is
A \( \cdot \sqrt{2} \)
в. \( \frac{1}{\sqrt{2}} \)
\( c \cdot \frac{1}{2} \)
\( D \)
| 2 |
Maths
|
The image of the point (-1,3,4) in the
plane \( \boldsymbol{x}-\mathbf{2} \boldsymbol{y}=\mathbf{0} \) is
\( ^{\mathbf{A}} \cdot\left(-\frac{17}{3},-\frac{19}{3}, 4\right) \)
В. (15,11,4)
\( ^{\mathbf{C}} \cdot\left(-\frac{17}{3},-\frac{19}{3}, 1\right) \)
D. \( \left(\frac{9}{5},-\frac{13}{5}, 4\right) \)
| 2 |
Maths
|
Two bodies of masses \( 0.1 k g \) and \( 0.4 k g \) move towards each other with velocities
\( 1 m / s \) and \( 0.1 m / s \) respectively. After
collision they stick together. In \( 10 s \) the combined mass travels
\( \mathbf{A} \cdot 120 m \)
B. \( 0.12 m \)
\( c .12 m \)
D. \( 1.2 m \)
| 3 |
Physics
|
Two elements \( A(A t . \text { wt } 75) \) and \( B(A t . \) wt
16) combine to yield a compound. The percentage by weight of 'A' in the compound was found to be 75.08 . The formula of the compound is:
A \( \cdot A_{2} B \)
в. \( A_{2} B_{3} \)
c. \( A B \)
D. \( A B_{2} \)
| 1 |
Chemistry
|
Disaccharide which gives two
molecules of glucose is
A. Lactose
B. Sucrose
c. Maltose
D. Galactose
| 0 |
Biology
|
Two coins are tossed simultaneously. Find the probability that either both
heads or both tails occur
| 2 |
Maths
|
The area of the parallelogram formed by
the lines \( 3 x-4 y+1=0,3 x-4 y+ \)
\( \mathbf{3}=\mathbf{0}, \mathbf{4} \boldsymbol{x}-\mathbf{3} \boldsymbol{y}-\mathbf{1}=\mathbf{0} \) and \( \mathbf{4} \boldsymbol{x}-\mathbf{3} \boldsymbol{y}- \)
\( \mathbf{2}=\mathbf{0}, \) is
A \( \cdot \frac{1}{6} \) sq.units
B. \( \frac{2}{7} \) sq.units
c. \( \frac{3}{8} \) sq.units
D. none of the above
| 2 |
Maths
|
Out of (ref. image), which is an example
of a benzylic halide?
| 1 |
Chemistry
|
What is the order of rotational
symmetry and angle of rotation symmetry for this design?
A \( \cdot 4 ; 90^{\circ} \)
B. \( 6 ; 120^{\circ} \)
c. \( 8: 60^{\circ} \)
D . \( 8 ; 45^{\circ} \)
| 2 |
Maths
|
Which peak is second highest?
\( A \cdot B \)
\( \mathbf{B} \cdot A \)
\( c \cdot C \)
\( D . E \)
| 2 |
Maths
|
Which of the following would not have a dipole moment?
(i) \( \boldsymbol{C C l}_{\mathbf{4}} \)
\( (i i i) 1,2- \)
dichloroacetylene
(ii) trans-1, 2-dichloroethene
\( \boldsymbol{C H}_{2} \boldsymbol{C l}_{2} \)
\( A \cdot \) (i) and (iv)
B. (i), (ii) and (iv)
C . (i), (ii) and (iii)
D. (ii) and (iii)
| 1 |
Chemistry
|
In the circuit shown in Figure. What
must the emf \( \epsilon \) of the battery be in
order for a current of \( 2.00 A \) to flow
through the \( 5.00 V \) battery? Is the
polarity of the battery correct as shown?
| 3 |
Physics
|
Among identical spheres \( A \) and \( B \) having charges as \( -5 C \) and -16 C
A. - -5C is at higher potential
B. -16C is at higher potential
c. Both are at equal potential
D. It cannot be said
| 3 |
Physics
|
Prove that \( \frac{\sin A-2 \sin ^{3} A}{2 \cos ^{3} A-\cos A}=\tan A \)
| 2 |
Maths
|
ff \( y=e^{a x}, \) then show that \( x \frac{d y}{d x}=y \log y \)
| 2 |
Maths
|
Name the two modes of reproduction.
| 0 |
Biology
|
The point \( F \) has the co-ordinates (0,-8)
IF the distance EF is 10 units, then the
co-ordinates of E will be
A. (-6,0)
B. (6,0)
c. (6,8)
(年. \( 6,8,8) \)
D. Either 1 or 2
| 2 |
Maths
|
\( \lim _{x \rightarrow 0}\left\{(1+x)^{\frac{2}{x}}\right\} \) (where \{\} denotes the
fractional part of \( x \) ) is equal to:
A \( \cdot e^{2}-7 \)
B \( \cdot e^{2} \)
c. \( e^{7}-7 \)
D. limit does not exist
| 2 |
Maths
|
A bag contains 8 black and 5 white
balls. 2 balls are drawn. Find the
probability that both the balls are white.
| 2 |
Maths
|
Secondary growth in dicots and
gymnosperms occurs by
A. Formation of vascular rays
B. Thickening of tracheary elements
C. Formation of meristematic cells in vascular region
D. Development of meristematic cells in vascular and cortical regions
| 0 |
Biology
|
A particular gene has 600 DNA nucleotides ignoring introns, stop and start signals. How many tRNA molecules are required to synthesize polypeptide coded for by this gene?
A . 200
B. 600
c. 900
D. 400
| 0 |
Biology
|
Divide the first expression by the
second. Write the quotient and the
remainder.
\( a^{2}-b^{2} ; a-b \)
A. Quotient \( =b \), Remainder \( =0 \)
B. Quotient \( =a+b \), Remainder \( =0 \)
c. Quotient \( =a b \), Remainder \( =a \)
D. Quotient \( =a-b \), Remainder \( =a \)
| 2 |
Maths
|
Explain the term 'doping'
| 3 |
Physics
|
Three 2 resistors, \( A, B, \) and \( C, \) are connected as shown below.Each of them
dissipates and can stand a maximum
power of \( 18 \mathrm{W} \) without melting. Find the maximum current that can
flow through the three resistors.
| 3 |
Physics
|
\( \boldsymbol{C a}+\boldsymbol{C}_{2} \rightarrow \boldsymbol{C a} \boldsymbol{C}_{2}+\boldsymbol{N}_{2} \rightarrow \boldsymbol{A} \)
Compound \( (A) \) is used as a/an:
A. fertillizer
B. dehydrating agent
c. oxidising agent
D. reducing agent
| 1 |
Chemistry
|
If helium effuses through a porous barrier at a rate of 4.0 moles per
minute, at what rate (in moles per
minute) would oxygen gas diffuse?
A . 0.20
B. 0.50
\( c \cdot 2.0 \)
D. 1.4
| 1 |
Chemistry
|
A 200 turn closely wound circular coil of
radius \( 15 \mathrm{cm} \) carries a current of \( 4 \mathrm{A} \)
The magnetic moment of this coil is:
\( \mathbf{A} \cdot 36.5 A m^{2} \)
B . \( 56.5 A m^{2} \)
\( \mathbf{c} \cdot 66.5 A m^{2} \)
D. \( 108 A m^{2} \)
| 3 |
Physics
|
Two cards are drawn simultaneously
from a well shuffled pack of 52 cards.
The expected number of aces is?
\( ^{A} \cdot \frac{1}{221} \)
в. \( \frac{3}{131} \)
c. \( \frac{2}{113} \)
D. \( \frac{1}{131} \)
| 2 |
Maths
|
The mutual force of repulsion between two point charges kept a fixed distance
apart is \( 9 \times 10^{-5} N \) when in vacuum
and \( 4 \times 10^{-5} N \) when placed in a
dielectric medium. What is the value of
dielectric constant of the medium?
| 3 |
Physics
|
Which of the following represents the SI unit of force?
A. Dyne
B. Gram-weight
c. Newton
D. Kilogram-weight
| 3 |
Physics
|
Draw a diagram to describe the life cycle of the moss, pointing out significant features
| 0 |
Biology
|
Express the following in the scientific notation:
(i) 0.0048
(ii) 234,000
(iii) 8008
(iv) 500.0
(v) 6.0012
| 1 |
Chemistry
|
In autumn, cambium is
A. Inactive
B. Less active
c. Mroe active
D. Killedd
| 0 |
Biology
|
Which statement is wrong from the
following?
A. The earthing wire is green coloured.
B. In India, current flowing through wire is \( A C \) and its frequency is \( 50 \mathrm{Hz} \)
C. In India, voltage between two wires is \( 110 V \)
D. T.V., Tublight, bulbs are connected with \( 5 A \) line.
| 3 |
Physics
|
There are 60 students in a class. Every student learns at least one of the
subjects Kannada or English. 45
students offer Kannada and 30 English.
How many students offer both the
subjects? Draw Venn diagram.
| 2 |
Maths
|
Find the values of \( x, \) if \( \left|\begin{array}{ll}\boldsymbol{x}+\mathbf{1} & \boldsymbol{x}-\mathbf{1} \\ \boldsymbol{x}-\mathbf{3} & \boldsymbol{x}+\mathbf{2}\end{array}\right|=\left|\begin{array}{cc}\mathbf{4} & \mathbf{- 1} \\ \mathbf{1} & \mathbf{3}\end{array}\right| \)
| 2 |
Maths
|
An electron in a hydrogen atom makes a
transition from \( n=n_{1} \) to \( n=n_{2} . \) The
time period of the electron in the initial state is eight times that in the final
state. The possible values of \( n_{1} \) and \( n_{2} \)
are
This question has multiple correct options
\( \mathbf{A} \cdot n_{1}=4, n_{2}=2 \)
B \( . n_{1}=8, n_{2}=2 \)
c. \( n_{1}=8, n_{2}=1 \)
D \( \cdot n_{1}=6, n_{2}=3 \)
| 3 |
Physics
|
In pseudo unimolecule reactions:
A. both the reactants are present in low concentration
B. Both the reactants are present in same concentration
C. One of the reactant is present in excess
D. One of the reactant is non-reactive
| 1 |
Chemistry
|
If \( n(\xi)=30, n(A)=22, n(B)=15 \) and
\( n(A \cup B)=25, \) then find \( : n\left(A \cap B^{\prime}\right) \)
| 2 |
Maths
|
Which of the following option is a water pollutant as well as a detrimental/toxic to marine flora and fauna to a large
extent?
A. Oil spillage during oil drilling
B. Sewage waste
c. Biological waste
D. None of the above
| 0 |
Biology
|
The time taken to assemble a car in a
certain plant is a random variable having a normal distribution of 20
hours and a standard deviation of 2
hours. What is the probability that a car can be assembled at this plant in a
period of time between 20 and 22
hours?
A . 0.3513
B. 0.3216
c. 0.3413
D. 0.3613
| 2 |
Maths
|
What is the main component in CNG?
| 3 |
Physics
|
Faraday has developed a plating process to make high-performance chrome coatings from trivalent chromium instead of highly toxic hexavalent chromium. This is an
application of:
A. Green revolution
B. Green chemistry
c. waste management
D. revolution resource recovery
| 1 |
Chemistry
|
For the matrix \( \boldsymbol{A}=\left[\begin{array}{ll}\mathbf{1} & \mathbf{5} \\ \mathbf{6} & \mathbf{7}\end{array}\right], \) verify that
(i) \( \left(A+A^{\prime}\right) \) is a symmetric matrix
(ii) \( \left(A-A^{\prime}\right) \) is a skew symmetric
matrix.
| 2 |
Maths
|
What is the angle between the incident and reflected rays when a ray of light is incident normally on a plane mirror?
A \( \cdot 90^{\circ} \)
B . \( 45^{\circ} \)
\( c \cdot 180^{\circ} \)
D. \( 0^{\circ} \)
| 3 |
Physics
|
\( M X_{2} \) dissociates in \( M^{2+} \) and \( X^{-} \) ions
in an aqueous solution with a degree of dissociation \( 0.5(\alpha) . \) The ratio of the observed depression of the freezing point of the aqueous solution to the value of the depression of freezing point in the absence of ionic dissociation
is
| 1 |
Chemistry
|
The initial phase of a pulse travelling on a string is \( \pi / 3 . \) The reflected pulse has
a phase of
A . \( 4 \pi / 3 \)
в. \( 2 \pi / 3 \)
c. \( \pi / 3 \)
D. \( 5 \pi / 3 \)
| 3 |
Physics
|
A solution is prepared by dissolving \( 5.64 \mathrm{g} \) of glucose in \( 60 \mathrm{g} \) of water. Calculate the mole fraction of
each of glucose and water respectively.
B. 0.01,0.99
c. 0.92,0.08
D. 0.789, 0.211
| 1 |
Chemistry
|
The solvent used in Etard reaction
during the formation of benzaldehyde from toluene is :
A. \( C H_{3} \) СООН
в. \( H_{2} \) О
c. La. \( N H_{3} \)
D. \( C S_{2} \)
| 1 |
Chemistry
|
The equation \( \sin ^{2} \theta=\frac{x^{2}+y^{2}}{2 x y} \) is
possible if
A. \( x=y \)
в. \( x=-y \)
c. \( 2 x=y \)
D. none of these
| 2 |
Maths
|
A soap bubble of radius \( r \) is blown up to
form a bubble of radius 2r under
isothermal conditions. If \( T \) is the surface
tension of soap solution, the energy
spent in the blowing
\( \mathbf{A} \cdot 3 \pi T r^{2} \)
в. \( 6 \pi T r^{2} \)
\( \mathrm{c} \cdot 12 \pi T r^{2} \)
D. \( 24 \pi T r^{2} \)
| 3 |
Physics
|
During the formation of \( N a C l, \) which of
the enthalpies are negative?
A. Lattice enthalpy
B. Electron affinity
c. Both \( A \) and \( B \)
D. None of these
| 1 |
Chemistry
|
Select the numbers with same
significant figures:
This question has multiple correct options
A \( \cdot 6.02 \times 10^{23} \)
B. 0.25
c. \( 6.60 \times 10^{-34} \)
D. 1.50
| 1 |
Chemistry
|
Find the inverse of the following matrix using elementary row transformation. \( \left[\begin{array}{cc}\mathbf{1} & \mathbf{2} \\ \mathbf{2} & -\mathbf{1}\end{array}\right] \)
| 2 |
Maths
|
Assertion
Lateral-line organs are important in connection with aquatic mode of life.
Reason
They are highly supplied with branches of cranial nerves and they are entirely disappeared in terrestrial forms.
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 Reason is correct
| 0 |
Biology
|
\( \lim _{x \rightarrow \infty} \frac{(3 x-1)(2 x+5)}{(x-3)(3 x+7)} \) is equal to
\( A \cdot \frac{1}{2} \)
B. 2
\( c \cdot 0 \)
D. none of these
| 2 |
Maths
|
Calcium floats over water during its reaction with water. Give reason.
| 1 |
Chemistry
|
Molten sodium is used in nuclear
reactors to:
A. absorb neutrons in order to control the chain reaction
B. slow down the fast neutrons
C. absorb the heat generated by nuclear fission
D. extract radio -isotopes produced in the reactor
| 1 |
Chemistry
|
Dfferentiate w.r.t \( x \) :
\( \tan ^{2} 7 x \)
| 2 |
Maths
|
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