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The correct order of increasing acidic
strength of the following acids is:
\( A \cdot|<1|<\| \)
c. ॥ा < ॥ ।
D. II<IIIS
| 1 |
Chemistry
|
The displacement \( x \) of a particle along
the \( x \) -axis at time \( t \) is given by \( x= \) \( \frac{a_{1}}{2} t+\frac{a_{2}}{3} t^{2} . \) Find the acceleration of the
particle.
| 2 |
Maths
|
According to Bharat IV, the emission of carbon monoxide should be
\( A \cdot 0.18 \mathrm{gm} / \mathrm{km} \)
B. \( 0.1 \mathrm{gm} / \mathrm{km} \)
c. \( 0.5 \mathrm{gm} / \mathrm{km} \)
D. \( 1 \mathrm{gm} / \mathrm{km} \)
| 0 |
Biology
|
If \( a, b, c \) and \( d \) are in \( G P, \) then \( (a+b+ \)
\( \boldsymbol{c}+\boldsymbol{d})^{2} \) is equal to:
\( \mathbf{A} \cdot(a+b)^{2}+(c+d)^{2}+2(b+c)^{2} \)
B. \( (a+b)^{2}+(c+d)^{2}+2(a+c)^{2} \)
\( \mathbf{C} \cdot(a+b)^{2}+(c+d)^{2}+2(b+d)^{2} \)
D. \( (a+b)^{2}+(c+d)^{2}+(b+c)^{2} \)
E \( \cdot(a+b)^{2}+(c+d)^{2}+(b-c)^{2} \)
| 2 |
Maths
|
A water tanker filled up to \( \frac{2}{3} \) rd of its height is moving with a uniform speed. On sudden application of the brake, the water in the tank would
A. move backward
B. move forward
c. be unaffected
D. rise upwards
| 3 |
Physics
|
Which of the following is an outcome?
A. Rolling a pair of dice
B. Landing on red
c. choosing 2 marbles from a jar
D. None of the above
| 2 |
Maths
|
Which particle among the following will have the smallest de Broglie wavelength, assuming that they have the same velocity?
A. Positron
B. Photon
c. \( \alpha \) - particle
D. Neutron
| 1 |
Chemistry
|
\( \ln \operatorname{acircle} \) of radius \( 21 \mathrm{cm}, \) an arc
subtends an angle of \( 60^{\circ} \) at the
centre.Find
(i) the length of the arc
\( (i i) \) the area of the sector
(iiii) the area of the minor segment and
\( (i v) \) the area of the major segment.
| 2 |
Maths
|
The ratio of the drifty velocity \( v_{d} \) and
r.m.s. velocity of electrons is
\( \mathbf{A} \cdot 10^{-10} \)
B . \( 10^{-5} \)
\( \mathbf{c} \cdot 10^{-3} \)
D. \( 10^{-6} \)
| 3 |
Physics
|
An object placed at a distance of \( 16 \mathrm{cm} \) from first principal focus of convex lens, produces a real image at a distance of \( 36 \mathrm{cm} \) from its second principal focus
Then the focal length of the lens is :
\( \mathbf{A} \cdot 9 c m \)
B. \( 25 \mathrm{cm} \)
\( \mathbf{c} \cdot 24 c m \)
D. \( 17 \mathrm{cm} \)
| 3 |
Physics
|
\( \ln \) an A.P if sum of its first \( n \) terms is
\( 3 n^{2}+5 n \) and its \( k^{t h} \) term is \( 164, \) find
the value of \( k \)
| 2 |
Maths
|
A hole of radius \( R / 2 \) is cut from a solid
sphere of radius \( R \). If the mass of the
remaining part of sphere is \( M, \) then
find moment of inertia of the body about
an axis through \( \boldsymbol{O} \)
| 3 |
Physics
|
Write each of the following polynomials in the standard form. Also, write their
degree:
\( a^{2}+4+5 a^{6} \)
| 2 |
Maths
|
A ball thrown with a velocity of \( 49 m s^{-1} \) got the maximum range recorded in the atmosphere as \( 225 m \). The decrease in
range due to the atmosphere is
A. \( 0 m \)
B. \( 245 m \)
\( \mathbf{c} .225 m \)
D. 20m
| 3 |
Physics
|
Fill in the blanks by choosing the appropriate word/words from those given in the brackets:
(square pyramidal, electrical, 74, 26 \( s p^{3} d^{2}, s p^{3} d, \) chemical, 68,32
tetrahedral, yellow, white, iodoform, Lucas)
Propan-2-ol on reaction with iodine and sodium hydroxide gives precipitate and the reaction is called
test.
| 1 |
Chemistry
|
The ordinary pressure of air surrounding us is
A. 15 pounds
B. 16 pounds
c. 14.2 pounds
D. 14.7 pounds
| 3 |
Physics
|
Centrosome includes a pair of
centrioles that help in cell division by spindle formation. The non-dividing cells in human are
A. Chondrocytes
B. Epithelial cells
c. Neurons
D. Neuroglial cells
| 0 |
Biology
|
Average velocities for time intervals \( t= \)
0 to \( 2 s, t=2 \) to 4 s and \( t=0 \) to 4 s are
respectively equal to
A \( .2 .5 \mathrm{m} / \mathrm{s},-2.5 \mathrm{m} / \mathrm{s}, 2.5 \mathrm{m} / \mathrm{s} \)
B. \( 1.25 \mathrm{m} / \mathrm{s},-1.25 \mathrm{m} / \mathrm{s}, 0 \mathrm{m} / \mathrm{s} \)
\( c \cdot 5 m / s,-5 m / s, 0 m / s \)
D. \( 2.5 \mathrm{m} / \mathrm{s},-2.5 \mathrm{m} / \mathrm{s}, 0 \mathrm{m} / \mathrm{s} \)
| 3 |
Physics
|
The sex of every animal depends on the fusion.
A. Chromosomal
B. Bloodd
c. RNA
D. None of these
| 0 |
Biology
|
Which non-metal has a shining
surface?
A. Graphite
B. Phosphorous
c. sulphur
D. None of the above
| 1 |
Chemistry
|
Tow monochromatic coherent source of
wavelength \( 5000 A \) are placed along the
line normal to the screen as shown in
the figure.
(a) Determine the condition for maxima
at the point \( \boldsymbol{P} \)
(b) Find the order of the centre bright
fringe if \( \boldsymbol{d}=\mathbf{0 . 5} \boldsymbol{m m}, \boldsymbol{D}=\mathbf{1} \boldsymbol{m} \)
| 3 |
Physics
|
You are given \( 5 m \) length of heating wire,
it has resistance of \( 24 \Omega . \) It is cut into
two and connected to 110 volt line
individually. The total power for the two half lengths is:
A. 500 watts
B. 1000 watts
c. 2000 watts
D. 2500 watts
| 3 |
Physics
|
The constraints
\( -\boldsymbol{x}_{1}+\boldsymbol{x}_{2} \leq 1 \)
\( -\boldsymbol{x}_{1}+\mathbf{3} \boldsymbol{x}_{2} \leq \mathbf{9} \)
\( \boldsymbol{x}_{1}, \boldsymbol{x}_{2} \geq \mathbf{0} \) defines on
A. Bounded feasible space
B. Unbounded feasible space
C. Both bounded and unbounded feasible
D. None of the above
| 2 |
Maths
|
Find intervals in which \( f(x)=\frac{4 x^{2}+1}{x} \)
is increasing and decreasing.
| 2 |
Maths
|
Assertion
Increasing the current sensitivity of a galvanometer necessarily increases the voltage sensitivity.
Reason
Voltage sensitivity is inversely proportional to current sensitivity.
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
|
In which of the following cases of rolling body, translatory and rotational kinetic energies are equal
A. Circular ring
B. Circular plate
c. Solid sphere
D. solid cylinder
| 3 |
Physics
|
Given two compounds, one more polar than the other, which one will move up the silica stationery phase higher than the other in TLC?
A. Polar compound
B. Non polar compound
c. Both will move equally
D. None will move
| 1 |
Chemistry
|
The vapour pressure of \( 2.1 \% \) of an aqueous solution of a non-electrolyte at
\( 373 K \) is \( 755 \mathrm{mm} \). Calculate the molar
mass of solution \( \left(M_{2}\right) \)
A . \( 46.1 \mathrm{gm} / \mathrm{mol} \) le
B. \( 57.456 \mathrm{gm} / \mathrm{mole} \)
c. \( 10 \mathrm{gm} / \mathrm{mole} \)
D. \( 87.12 \mathrm{gm} / \mathrm{mole} \)
| 1 |
Chemistry
|
Which of the following statements
about Grignard reagent is false?
A. Grignard reagents (RMgBr) add to the carbonyl group of aldehydes and ketones
B. An organosodium compound is not very reactive compared to a Grignard reagent
C . Grignard reagents are prepared in ether or tetrahydrofuran (THF)
D. Grignard reagents are decomposed by water and alcohol
| 1 |
Chemistry
|
Evaluate \( \lim _{x \rightarrow 4} \frac{3-\sqrt{5+x}}{1-\sqrt{5-x}} \)
A \( \cdot \frac{1}{3} \)
B. \( -\frac{1}{3} \)
\( c \cdot \frac{2}{3} \)
D. \( -\frac{2}{3} \)
| 2 |
Maths
|
A proton takes \( 10^{-12} \) seconds to
complete one revolution in uniform
magnetic field. The time taken in another orbit of double the radius in
the same field is
B . \( 2 \times 10^{-12} \) seconds
c. \( 4 \times 10^{-12} \) seconds
D. \( 10^{-12} \) seconds
| 3 |
Physics
|
How many numbers amongst the numbers 9 to 54 are there which are
exactly divisible by 9 but not by \( 3 ? \)
\( A \cdot 8 \)
B. 6
\( c \cdot 5 \)
D. Nil
| 2 |
Maths
|
Which of the following would not be attracted or deflected while traveling through an electric field?
I. Gamma ray
II. Beta particle
III. neutron.
A . i only
B. ii only
c. i and ii only
D. i and iii only
| 1 |
Chemistry
|
The relation connecting acceleration due to gravity and gravitational constant is:
A \( \cdot g=\frac{G M}{R^{2}} \)
В . \( g=\frac{G M}{R} \)
c. \( g=G M R^{2} \)
D. \( g=G M R \)
| 3 |
Physics
|
Benzene \( \stackrel{X}{\longrightarrow} \) Benzene sulphonicacid
Identify \( X ? \)
A. Sulphuric acid
B. Hydrochloric acid
c. Sulphur
D. Both A and C
| 1 |
Chemistry
|
Present day view regarding
photosynthesis is
A. It converts light energy into chemical energy
B. It creates useful energy
\( \mathrm{C} \cdot \) It fixes \( \mathrm{CO}_{2} \) into carbohydrates
D. It reverses the action of respiration
| 0 |
Biology
|
The most penetrating atom smashing particle is
A. neutron
B. proton
c. alpha particle
D. deuteron
| 3 |
Physics
|
\( \mathbf{f}_{\mathbf{1}}=\left|\begin{array}{ccc}\mathbf{7} & \boldsymbol{x} & \mathbf{2} \\ -\mathbf{5} & \boldsymbol{x}+\mathbf{1} & \mathbf{3} \\ \mathbf{4} & \boldsymbol{x} & \mathbf{7}\end{array}\right|, \boldsymbol{\Delta}_{2}= \)
\( \left|\begin{array}{ccc}\boldsymbol{x} & \boldsymbol{2} & \boldsymbol{7} \\ \boldsymbol{x}+\boldsymbol{1} & \boldsymbol{3} & -\boldsymbol{5} \\ \boldsymbol{x} & \boldsymbol{7} & \boldsymbol{4}\end{array}\right| \) then \( \boldsymbol{\Delta}_{1}-\boldsymbol{\Delta}_{2}=\boldsymbol{0} \) for
\( \mathbf{A} \cdot x=2 \)
B. all real \( x \)
c. \( x=0 \)
D. none of these
| 2 |
Maths
|
An \( \alpha- \) particle of energy 5 MeV is
scattered through \( 180^{\circ} \) by a fixed
uranium nucleus. The distance of
closest approach is of the order of
A \( \cdot 10^{-12} \mathrm{cm} \)
B . \( 10^{-10} \mathrm{cm} \)
\( c \cdot 1 A \)
D. \( 10^{-15} \mathrm{cm} \)
| 3 |
Physics
|
Interference fringes are obtained due to the interference of waves from two
coherent sources of light with
amplitudes \( a_{1} \) and \( a_{2}\left(a_{1}=2 a_{2}\right) . \) What
is the ratio of the maximum and
minimum intensities of light in the
interference pattern?
A .2
B. 4
\( c .9 \)
D. \( \infty \)
| 3 |
Physics
|
A magnetic field directed along \( Z \) axis
varies as \( \boldsymbol{B}=\boldsymbol{B}_{0} \boldsymbol{x} / \boldsymbol{a}, \) where \( \boldsymbol{B}_{0}= \)
2 tesla and \( a=1 m . \) A conducting
square loop of side \( \ell=\frac{1}{2} m \) is placed
with its edges parallel to \( X \) and \( Y \) axes. If
the loop is made to move with a
constant velocity \( v_{0}=6 m / s \) directed
along \( X \) axis, the induced emf (in volts) in the loop is :
| 3 |
Physics
|
A Student planned an experiment that
would use \( 0.10 M \) propionic acid,
\( \boldsymbol{C H}_{3} \boldsymbol{C H}_{2} \boldsymbol{C O O H} . \) Calculate the value
of \( \left[\boldsymbol{H}^{+}\right] \) and the \( \boldsymbol{p} \boldsymbol{H} \) for this solution. For
propionic acid, \( \boldsymbol{K}_{\boldsymbol{a}}=\mathbf{1 . 3 4} \times \mathbf{1 0}^{-\mathbf{5}} \)
| 1 |
Chemistry
|
Match the Column-I with Column-II.
| 1 |
Chemistry
|
For alkali metals, only electrolytic reduction is employed.
A. True
B. False
| 1 |
Chemistry
|
What are the DR's of vector parallel to
(2,-1,1) and (3,4,-1)\( ? \)
A \( \cdot(1,5,-2) \)
B \( \cdot(-2,-5,2) \)
\( \mathbf{c} \cdot(-1,5,2) \)
D \( \cdot(-1,-5,-2) \)
| 2 |
Maths
|
The converse of "if in a triangle
\( A B C, A B>A C, \) then \( \angle C=\angle B^{\prime \prime}, \) is
\( \mathbf{A} \cdot \) If in a triangle \( A B C, \angle C=\angle B, \) then \( A B>A C \)
B. If in a triangle \( A B C, A B \not=A C, \) then \( \angle C \not=\angle B \).
C. If in a triangle \( A B C, \angle C \not=\angle B, \) then \( A B \not=A C \)
D. If in a triangle \( A B C, \angle C \not=\angle B, \) then \( A B>A C \).
| 2 |
Maths
|
The current gain in common base
amplifier is
A . high
B. very low
c. about 1
D. very high
| 3 |
Physics
|
Few algae show
A. External fertilisation
B. Heterogametes
C . Internal fertilisation
D. Zygotic mitosis to develop embryo
| 0 |
Biology
|
A \( 3 m \) long ladder weighing 20 kg leans
on a frictionless wall. Its feet rest on the
floor \( 1 \mathrm{m} \) from the wall as shown in Fig.
Find the reaction forces of the wall and
the floor
| 3 |
Physics
|
Calculate the work done injoules when
3 moles of an ideal gas at \( 27^{\circ} C \) expands isothermally and reversibly from 10 atm to 1 atm \( (1 a t m=1.013 x \)
\( 10^{5} N m^{-2} \) ). What will be the work done
if the expansion is against the constant
pressure of 1 atm?
| 1 |
Chemistry
|
Which one of the following statement is
false
A. Work is a state finction
B. temperature is a state function
c. change in the state is completely defined when the initial and final states are specified
D. Work appears at the boundary of the system
| 3 |
Physics
|
What are phytoplankton?
| 0 |
Biology
|
Assertion
A beam of white light shows no dispersion on emerging from a glass slab.
Reason
Dispersion in a glass slab 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 correct but Reason is incorrect
D. Both Assertion and Reason are incorrect
| 3 |
Physics
|
A standing wave \( \zeta= \) \( (5 m m) \sin \pi x . \cos (200 t) \) is maintained
in a homogeneous rod with cross-
sectional area \( 0.04 m^{2} \) and density
\( 1000 k g / m^{3} . \) The total mechanicalenergy confined between the sections corresponding to the adjacent displacement nodes is
A. \( 10 J \)
\( J \)
B. \( 20 J \)
c. \( 40 J \)
D. None of these
| 3 |
Physics
|
Match column I with column II and
select the correct option from the codes
given below.
Column II Column I (Phytohormone) where it is synthesised
Tissues
\( \begin{array}{llll}\text { A. } & \text { IAA } & \text { (i) } & \text { undergoing }\end{array} \) senescence
B. Cytokinins \( \quad \) (ii) \( \quad \) Shoot apices
C. Ethylene \( \quad \) (iii) \( \quad \) Root apices
\( A \cdot A-(i i), B-(i i i), C-(i) \)
B. A-(iii), B-(ii), C-(i)
C \( . A \) -(i), B-(ii), C-(iii)
D. A-(ii), B-(i), C-(iii)
| 0 |
Biology
|
Lye is used in soap-making. It is a
concentrated solution of which ionic
compound?
A . \( N a C l \)
в. \( N a O H \)
c. \( C u S O_{4} \)
D. \( K_{2} C O_{3} \)
| 1 |
Chemistry
|
An observer moves towards a stationary
plane mirror at a speed of \( 4 \mathrm{ms}^{-1} \). What
is the relative speed of the image with respect to the observer?
A \( \cdot 2 \mathrm{ms}^{-1} \)
B. \( 4 \mathrm{ms}^{-1} \)
\( c \cdot 8 m s^{-1} \)
D. the image will stay at rest
| 3 |
Physics
|
The process in which embryo develops from unfertilized oosphere is called as
A. Parthenogenesis
B. Apospory
c. Apogamy
D. None of the above
| 0 |
Biology
|
The de-Broglie wavelength associated with an electron accelearated to
potential difference of V volt is:
A. \( V \times 10^{-10} m \)
в. \( \sqrt{\frac{150}{V}} A^{0} \)
c. \( \frac{150}{V} A^{0} \)
D. \( 150 V \times 10^{-8} \mathrm{m} \)
| 3 |
Physics
|
Find \( \frac{\boldsymbol{d} \boldsymbol{y}}{\boldsymbol{d} \boldsymbol{x}} \)
\( \boldsymbol{y}=\frac{1}{\boldsymbol{x}^{2}-\boldsymbol{2} \boldsymbol{x}+\boldsymbol{3}} \)
| 2 |
Maths
|
Rutherford's scattering experiment led to the discovery of :
A. nucleus
B. presence of neutrons in the nucleus
\( c \cdot \) both (1) and (2)
D. revolving nature of electrons around the nucleus
| 3 |
Physics
|
\( \mid \begin{array}{ccc}\mathbf{2} \boldsymbol{a}_{1} \boldsymbol{b}_{1} & \boldsymbol{a}_{1} \boldsymbol{b}_{1}+\boldsymbol{a}_{2} \boldsymbol{b}_{1} & \boldsymbol{a}_{1} \boldsymbol{b}_{3}+\boldsymbol{a}_{3} \boldsymbol{b}_{1} \\ \boldsymbol{a}_{1} \boldsymbol{b}_{2}+\boldsymbol{a}_{2} \boldsymbol{b}_{1} & \boldsymbol{2} \boldsymbol{a}_{2} \boldsymbol{b}_{2} & \boldsymbol{a}_{2} \boldsymbol{b}_{3}+\boldsymbol{a}_{3} \boldsymbol{b}_{2} \\ \boldsymbol{a}_{1} \boldsymbol{b}_{3}+\boldsymbol{a}_{3} \boldsymbol{b}_{1} & \boldsymbol{a}_{3} \boldsymbol{b}_{2}+\boldsymbol{b}_{3} \boldsymbol{a}_{2} & \boldsymbol{2} \boldsymbol{a}_{3} \boldsymbol{b}_{3}\end{array} \)
\( A \)
B.
\( \mathbf{c} \cdot a_{1} b_{1} a_{2} b \)
D. \( a_{1} b_{1}+a_{2} b_{2} \)
| 2 |
Maths
|
\( \left(1+x^{2}\right)\left(1+y^{2}\right)\left(1+z^{2}\right) \) can be
expressed as \( \left(1-\sum x y\right)^{2}+ \)
\( \left(\sum x-x y z\right)^{2} . \) If this is true enter 1
else enter 0
| 2 |
Maths
|
A student prepares a \( 0.10 M \) CoCl \( _{2} \)
solution and determines the
absorbance of the solution at various
wavelengths using a
spectrophotometer. A graph of the results is shown below.
Identify the optional wavelength for
absorbance.
\( \mathbf{A} \cdot 300 n m \)
B. \( 375 n m \)
\( \mathbf{c} \cdot 410 n m \)
D. \( 550 n m \)
| 3 |
Physics
|
What is the common ratio of the
geometric sequence \( 81,27,9,3, \dots ? \)
A \( \cdot \frac{1}{2} \)
B.
\( c \cdot \frac{1}{4} \)
D.
| 2 |
Maths
|
\( 18.0 g \) of \( \operatorname{glucose}\left(C_{6} H_{12} O_{6}\right) \) is added to
\( 178.2 g \) of water. The vapour pressure of water for this aqueous solution at \( 100^{\circ} \mathrm{C} \)
is :
A . \( 759 . .00 \) Torr
B. 7.60 Torr
c. 76.00 torr
D. 752.40 Torr
| 1 |
Chemistry
|
Which of the following statements is incorrect for \( \sigma \) and \( \pi \) -bonds formed
between two carbon atoms?
A. \( \sigma \) -bond is stronger than a \( \pi \) -bond
B. Bond energies of \( \sigma \) and \( \pi \) -bonds are of the order of \( 264 k J / m o l \) and \( 347 k J / m o l \)
C. Free rotation of surrounding atoms about a \( \sigma \) -bond is allowed but not in case of a \( \pi \) -bond
D. \( \sigma \) -bond determines the direction between carbon atoms but a \( \pi \) -bond has no primary effect in this regardd
| 1 |
Chemistry
|
Which of the following set contains oxide in the sequence, basic, amphoteric and acidic respectively?
A. \( S O_{2}, P_{2} O_{5}, C O \)
в. \( B a O, A l_{2} O_{3}, \) SiO \( _{2} \)
c. \( C a O, \operatorname{si} O_{2}, A l_{2} O_{3} \)
D. \( A l_{2} O_{3} . C O_{2}, C O \)
| 1 |
Chemistry
|
What will be the polarities at \( A \& B \) if the direction of current is reversed in
the circuit??
| 3 |
Physics
|
Rewrite the equation \( |\boldsymbol{y}|=|\boldsymbol{x}| \) as two
equations of two lines.
| 2 |
Maths
|
\( 4 \sqrt{2} m \) and breadth \( 4 m \) carrying a
current of \( 5 A \) in the anti-clockwise
direction is placed in the xy-plane. The
magnitude of the magnetic induction
field vector \( B \) at the intersection of the
diagonal is \( \left(U s e u_{0}=4 \pi x\right. \)
\( \left.10^{-7} N A^{-2}\right) \)
A \( .1 .2 \times 10^{-6} T \)
B . \( 1.2 \times 10^{-5} T \)
c. \( 2.4 \times 10^{-6} T \)
D. \( 2.4 \times 10^{-5} T \)
E \( .1 .2 \times 10^{-7} T \)
| 3 |
Physics
|
Where is the basement membrane
derived from?
A. Ectoderm
B. Endoderm
c. Epidermis
D. Epidermis and connective tissue
| 0 |
Biology
|
How many distinct monochlorinated
products, (including stereoisomers)
may be obtained when the alkane
shown below is heated in the
presence of \( \boldsymbol{C l}_{2} \) ?
\( A \cdot 2 \)
B. 4
\( c \cdot 5 \)
D. 6
E. 8
| 1 |
Chemistry
|
If 12 g of alkaline earth metal gives 14.8 g of its nitride, then what is the atomic
weight of metal?
A \( \cdot 12 \)
B. 20
\( c \cdot 40 \)
D. 14.8
| 1 |
Chemistry
|
Diatoms float in water due to
A. Stored fats
B. Gas vacuoles
c. Flagella
D. Air chambers
| 0 |
Biology
|
Among the following compounds, which one is not responsible for the depletion of ozone layer?
A \( \cdot C H_{4} \)
в. \( C F C l_{3} \)
c. \( N O \)
D. \( C l_{2} \)
| 1 |
Chemistry
|
What is the oxidation number of
carbonyl carbon in acetophenone?
\( A \cdot+3 \)
B. +1
\( c \cdot+2 \)
D. zero
| 1 |
Chemistry
|
Two short dipoles are situated parallel
to each other separated by a distance \( x \)
The force of interaction is
A \( \cdot \) A force of attraction of \( \frac{2 K p_{1} p_{2}}{x^{4}} \)
B. A force of repulsion of \( \frac{2 K p_{\eta} p_{2}}{x^{4}} \)
C . A force of attraction of \( \frac{3 K p_{1} p_{2}}{x^{4}} \)
D. A force of repulsion of \( \frac{3 K p_{\eta} p_{2}}{x^{4}} \)
| 3 |
Physics
|
On increasing the temperature, the solubility of the solute in the
solvent
| 1 |
Chemistry
|
If \( g(f(x))=|\sin x| \) and \( f(g(x))= \)
\( (\sin \sqrt{x})^{2}, \) then
A \( \cdot f(x)=\sin ^{2} x \cdot g(x)=\sqrt{x} \)
B. \( f(x)=\sin x, g(x)=|x| \)
C. \( f(x)=x^{2}, g(x)=\sin \sqrt{x} \)
D. f and g can not be determined
| 2 |
Maths
|
The ratio of the difference in energy
between the first and second Bohr orbit
to that between second and third Bohr
in H-atom is:
\( A \cdot 4 / 9 \)
B. \( 1 / 3 \)
c. \( 27 / 5 \)
D. \( 1 / 2 \)
| 1 |
Chemistry
|
Two stars of masses \( m_{1} \) and \( m_{2} \) are
parts of a binary star system. The radii
of their orbits are \( r_{1} \) and \( r_{2} \) respectively,
measured from the centre of mass of
the system. The magnitude of
gravitational force \( \boldsymbol{m}_{1} \) exerts on \( \boldsymbol{m}_{2} \) is
then
A. \( \frac{m_{1} m_{2} G}{\left(r_{1}+r_{2}\right)^{2}} \)
в. \( \frac{m_{1} G}{\left(r_{1}+r_{2}\right)^{2}} \)
c. \( \frac{m_{2} G}{\left(r_{1}+r_{2}\right)^{2}} \)
D. \( \frac{G\left(m_{1}+m_{2}\right)}{\left(r_{1}+r_{2}\right)^{2}} \)
| 3 |
Physics
|
The stage when the reproductive organs reach sexual maturity is called as
A. Puberty
B. Menstruation
c. Gestation
D. Fertilization
| 0 |
Biology
|
What is the direction cosine of angle which the vector \( \sqrt{2 \hat{i}}+\hat{j}+ \)
\( \hat{k} \) makes with \( y- \) axis \( ? \)
| 2 |
Maths
|
Which of the following is true?
A. Lyman series is a continuous spectrum
B. Paschen series is a line spectrum in the infrared
C. Balmer series is a line spectrum in the ultraviolet
D. The spectral series formula can be derived from the Rutherford model of the hydrogen atom
| 3 |
Physics
|
An acid produces free \( \boldsymbol{H}+ \) ions in
aqueous solution.
A. True
B. False
| 1 |
Chemistry
|
\( \mathrm{CH}_{3}-\mathrm{C}_{\mathrm{CH}_{3}-\mathrm{CH}_{2}-\mathrm{C}}^{\mathrm{O}} \mathrm{CH}_{3} \)
| 1 |
Chemistry
|
A bob is suspended from the ceiling of a car which is accelerating uniformly on a horizontal road
choose the wrong statement
A. the bob stays a constant angle \( \theta \) with vertical with respect to car in equilibirum
B. the magnitude linear momentum of a bob as seen from the rod is increasing with time
c. linear momentum is conserved only in car reference of frame
D. linear momentum is conserved in car as well as ground reference of frame
| 3 |
Physics
|
A mass at the end of a spring executes harmonic motion about an equilibrium position with an amplitude A.lts speed as it passes through the equilibrium position is V.If extended 2A and released, the speed of the mass passing through the equilibrium position will be
A \( .2 v \)
B. 4V
c. v/2
D. V/4
| 3 |
Physics
|
Menstrual cycle occurs in
A. Female primates
B. Human females
C. Mammalian females
D. Rabbit
| 0 |
Biology
|
Find the matrices \( A \) and \( B \) such that \( \boldsymbol{A}+\boldsymbol{B}=\left[\begin{array}{ll}\mathbf{5} & \mathbf{4} \\ \mathbf{7} & \mathbf{3}\end{array}\right] \) and \( \boldsymbol{A}-\boldsymbol{B}= \)
\( \left[\begin{array}{cc}11 & 2 \\ -1 & 7\end{array}\right] \)
| 2 |
Maths
|
Identify the following shows the application of pressure in our everyday life?
This question has multiple correct options
A. The blade of Ice-skating shoe is very sharp
B. It is easier to drive a sharp tipped nail into wood
c. Sharp knife cuts better
D. Foundation of high-rise building are kept narrow
| 3 |
Physics
|
A monatomic gas is compressed adiabatically to \( \frac{1}{4} \) of its original volume, the final pressure of gas in terms of initial pressure P is:
A . 7.08 \( \mathrm{P} \)
B. 8.08 P
c. 9.08 p
D. 10.08
| 1 |
Chemistry
|
Which of the following has metallic as well as non-metallic character?
(i) Arsenic
(ii) Antimony (iii) Lead
\( A \cdot( \) i) only
B . (ii) only
c. (i) and (ii) only
D. (i), (ii) and (iii)
| 1 |
Chemistry
|
The equilibrium state can be attained from both sides of the chemical
reaction.
A. True
B. False
| 1 |
Chemistry
|
The binary number of decimal number
\( (9.25)_{10} \) is
A . 1101.01
в. 1001.01
c. 1001.10
D. 1110.010
| 3 |
Physics
|
A chemical equation is balanced according to the law of:
A. multiple proportions
B. constant proportions
c. reciprocal proportions
D. conservation of mass
| 1 |
Chemistry
|
Define anti-histamines. Give one
example
| 1 |
Chemistry
|
In which of the following cell \( (s): E_{c e l l}= \)
\( \boldsymbol{E}_{c e l l}^{o} ? \)
This question has multiple correct options
\( \mathbf{A} \cdot C u(s)\left|C u^{2+}(0.01 M) \| A g^{+}(0.1 M)\right| A g(s) \)
B. \( P t, H_{2}(g)|p H=1|\left|Z n^{2+}(0.01 M)\right| Z n(s) \)
\( \mathbf{c} \cdot P t, H_{a t m}(g)\left|p H=1 \| Z n^{2+}(1 M)\right| Z n(s) \)
D. \( P t, H_{2}(g)\left|H^{+}=0.1 M\right|\left|Z n^{2+}(0.01 M)\right| Z n(s) \)
| 1 |
Chemistry
|
Which of the following is not a scientific name of banana
A. Musa paradisiaca
B. Musa superba
c. Musa textilis
D. Hibiscus mutabilis
| 0 |
Biology
|
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