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Explain the reason of different length of equatorial and axial bond in the
structure of \( \boldsymbol{P C l}_{5} \)
| 1 |
Chemistry
|
Black-foot disease is caused due to
ground water contaminated with
excess of
A. Nitrate
B. Fluoride
c. Arsenic
D. sulphur
E. Mercury
| 0 |
Biology
|
The part of the alimentary canal that
starts from the middle segment of clitellum and extends up to the last
segment is
A. Stomach
B. Gizzardd
c. Intestine
D. Rectum
| 0 |
Biology
|
The angle of deviation by a prism is
\( \left(180^{\circ}-2 A\right) . \) Its critical angle will be
A \( \cdot \sin ^{-1}\left(\tan \frac{A}{2}\right) \)
B. \( \left(\cot \frac{A}{2}\right) \)
c. \( \cos ^{-1}\left(\cot \frac{A}{2}\right) \)
D. \( \cos ^{-1}\left(\tan \frac{A}{2}\right) \)
| 3 |
Physics
|
The slope of the normal to the curve
\( \boldsymbol{x}=\boldsymbol{a}(\boldsymbol{\theta}-\sin \theta), \boldsymbol{y}=\boldsymbol{a}(1-\cos \boldsymbol{\theta}) \) at
point \( \boldsymbol{\theta}=\frac{\boldsymbol{\pi}}{2} \) is
\( \mathbf{A} \cdot \mathbf{0} \)
B.
\( c \cdot-1 \)
D. \( \frac{1}{\sqrt{2}} \)
| 2 |
Maths
|
In the figure above, \( \overline{A C} \) is a diameter of
the large circle and \( \mathrm{B} \) lies on \( \overline{\boldsymbol{A C}} \) so that
\( A B \) is a diameter of the small circle. If
\( A B=1 \) and \( B C=2, \) Calculate the
area of the shaded region.
\( A \cdot \frac{\pi}{4} \)
в.
\( c \cdot 2 \pi \)
D. \( \frac{9 \pi}{4} \)
E . \( 9 \pi \)
| 2 |
Maths
|
In how many years will the compound
interest on Rs. \( 32,000, \) at the rate of 5
per cent per annum, be Rs. \( 5,044 ? \)
| 2 |
Maths
|
When the distance between the object
and the plane mirror increases.
A. The image remains same
B. The size of the image will become less than the size of the object
c. The distance between the image and the plane mirror increases
D. The distance between the image and the plane mirror decreases
| 3 |
Physics
|
Identify the correct statement.
A. Soaps are better than detergents in hard water
B. Soaps are salts of alkyl benzene sulphonic acids
C. Detergents clean well even in acidic medium
D. The non ionic hydrocarbon end of soap has property to attract water
| 1 |
Chemistry
|
toppr
Q Type your question-
of the electric field and the electric
potential \( V(r) \) with the distance \( r \) from
the centre, is best represented by which
graph ?
\( A \)
\( B \)
\( c \)
\( D \)
| 3 |
Physics
|
Let \( f \) be a differentiable function
satisfying \( \boldsymbol{f}(\boldsymbol{x})+\boldsymbol{f}(\boldsymbol{y})+\boldsymbol{f}(\boldsymbol{z})+ \)
\( \boldsymbol{f}(\boldsymbol{x}) \boldsymbol{f}(\boldsymbol{y}) \boldsymbol{f}(\boldsymbol{z})=\mathbf{1 4} \) for all \( \boldsymbol{x}, \boldsymbol{y}, \boldsymbol{z} \in \boldsymbol{R} \)
Then
\( \mathbf{A} \cdot f^{\prime}(x)<0 \) for all \( x \in R \)
B . \( f^{\prime}(x)=0 \) for all \( x \in R \)
C \( \cdot f^{\prime}(x)>0 \) for all \( x \in R \)
D. none of these
| 2 |
Maths
|
The coefficients of self induction of two
inductance coils arc \( 0.01 \mathrm{H} \) and \( 0.03 \mathrm{H} \)
respectively. When they are connected in series so as to support each other then the resultant self inductance
becomes 0.06 Henry. The value of coefficient of mutual induction will be-
A . \( 0.02 \mathrm{H} \)
B. 0.05
c. \( 0.01 \mathrm{H} \)
D. ZERO
| 3 |
Physics
|
Suppose there are three urns
containing 2 white and 3 black balls: 3 white and 2 black balls, and 4 white and
one black ball respectively. There is equal probability of each urn being chosen. One ball is drawn from an urn
chosen at random. The probability that a white ball is drawn is \( \frac{k}{15} . \) Find the
value of \( k \)
| 2 |
Maths
|
The natural frequency of the circuit shown in fig. is
A \( \frac{1}{\sqrt{L C}} \)
B. \( \frac{1}{2 \sqrt{L C}} \)
c. \( \frac{2}{\sqrt{L C}} \)
D. none of these
| 3 |
Physics
|
The ratio of the angular speed of hours hand and second hand of a clock is
A . 1: 1
B. 1: 60
c. 1: 720
D. 3600 : 1
| 3 |
Physics
|
Four metals \( Z n, F e, C u \) and \( A l \) are
taken and added to the following solutions one by one. The results obtained are tabulated below
Metal \( \quad Z n S O_{4}(a q) \quad F e S O_{4}(a q) \) Displaced \( Z n \) \( \mathrm{Fe} \quad \) No reaction \( \begin{array}{ll}C u & \text { No reaction }\end{array} \quad \) No reaction \( A l \) Displaced \( \quad \) Displaced
From the above data, the decreasing
order of reactivity of metals is
A. \( A l>C u>F e>Z n \)
в. \( A l>Z n>F e>C u \)
c. \( A l>Z n>C u>F e \)
D. \( A l>F e>C u>Z n \)
| 1 |
Chemistry
|
An element has three electrons in the
4th shell, the atomic number of the
element is:
A . 13
B . 21
c. 27
D. 31
| 1 |
Chemistry
|
A cubic polynomial is a polynomial of degree
A .
B.
\( c \cdot 3 \)
\( D \)
| 2 |
Maths
|
Find the area enclosed by the curves \( y=4 x^{2} \) and \( y^{2}=2 x \)
| 2 |
Maths
|
The threshold energy of a metal is 10 sV Identify the incorrect option. (E = energy of one photon)
A. If \( E=12 e V \), photoelectric effect occurs
B. If \( E=15 e V \), kinetic energy of electron is more than option (A)
C. If intensity of photon increase but energy remain same, the kinetic energy of photoelectron remain same
D. If intensity of photon increase but energy remain same, the kinetic energy of photoelectron increase
| 1 |
Chemistry
|
In the following redox reaction, number
of moles of \( C u(O H)_{2} \) reduced by one
mole of \( N_{2} H_{4} \) is :
\( \boldsymbol{C u}(\boldsymbol{O H})_{2}(\boldsymbol{s})+\boldsymbol{N}_{2} \boldsymbol{H}_{4}(\boldsymbol{a q}) \longrightarrow \)
\( \boldsymbol{C u}(\boldsymbol{s})+\boldsymbol{N}_{2}(\boldsymbol{g}) \)
| 1 |
Chemistry
|
In the reaction \( M g+C l_{2} \rightarrow M g C l_{2} \)
Chlorine may be regarded as:
A. an oxidising agent
B. a reducing agent
c. a catalyst
D. providing an inert medium
| 1 |
Chemistry
|
If \( \boldsymbol{A}=\left[\begin{array}{lll}\mathbf{1} & -\mathbf{2} & \mathbf{3}\end{array}\right] \quad \boldsymbol{B}=\left[\begin{array}{c}-\mathbf{1} \\ \mathbf{2} \\ -\mathbf{3}\end{array}\right], \) then
\( \boldsymbol{A}+\boldsymbol{B} \)
\( \mathbf{A} \cdot\left[\begin{array}{lll}0 & 0 & 0\end{array}\right] \)
B. 0
0
\( \mathbf{c} \cdot\left[\begin{array}{ll}-1 & 4\end{array}\right] \)
D. not defined
| 2 |
Maths
|
What will be the major product of the
given reaction?
| 1 |
Chemistry
|
One mole of \( N_{2} O_{4}(g) \) at \( 300 K \) is kept in a closed container under one
atmosphere. It is heated to \( 600 K \) when
\( 20 \% \) by mass of \( N_{2} O_{4}(g) \) decomposes
to \( N O_{2}(g) . \) The resultant pressure is:
A. 1.2 atm
B. 2.4 atm
\( c .2 .0 \) atm
D. 1.0 atm
| 1 |
Chemistry
|
Identify a polymorphic coelenterate.
A. Physalia
B. Fungia
c. Hydra
D. All of the above
| 0 |
Biology
|
toppr oGın
Q Type your question
position \( x=12 \mathrm{m} \) on the line.
A proton placed at any point on the line
between the two charges will
experience a net force due to the two
charges. The net force acting on the
proton is shown as a function of
position in the graph, where positive
values of force represent rightward
force.
What is the sign of each charge, and
which charge is stronger?
A. Charge 1 is positive, Charge 2 is negative, and the stronger charge is Charge 1.
B. Charge 1 is positive, Charge 2 is positive, and the stronger charge is Charge 1
c. charge 1 is negative, Charge 2 is positive, and the stronger charge is Charge 2
D. Charge 1 is negative, Charge 2 is negative, and the stronger charge is Charge 2 .
E. Charge 1 is negative, Charge 2 is negative, and the stronger charge is Charge 1.
| 3 |
Physics
|
The most important layer of atmosphere is
A. Troposphere
B. Thermosphere
c. Mesosphere
D. None of these
| 0 |
Biology
|
Which is the line segment for the
median \( O \) from the triangle \( P Q R ? \)
A. \( \overline{Q T} \)
в. \( \overline{P O} \)
\( c \cdot \overline{O R} \)
D. \( \bar{Q} O \)
| 2 |
Maths
|
What do you mean by ozone hole? What
are its consequences?
| 1 |
Chemistry
|
\( N a N O_{2} \) and \( N a N O_{3} \) are used as food
additives and generally added to meat.
A. True
B. False
| 1 |
Chemistry
|
The velocity of sound in a gas is
\( 30 m s^{-1} \) at \( 27^{\circ} C . \) What is the velocity of
the sound in the same gas at \( 127^{\circ} \mathrm{C} \) ?
A \( \cdot 20 m s^{-1} \)
B. \( 30 m s^{-1} \)
D. \( 60 m s^{-1} \)
| 1 |
Chemistry
|
The pressure that has to be applied to
the ends of a steel wire of length \( 10 c m \)
to keep its length constant when its
temperature is raised by \( 100^{\circ} \mathrm{C} \) is:
(For steel Young's modulus is \( 2 \times \)
\( 10^{11} N m^{-2} \) and coefficient of thermal
expansion is \( 1.1 \times 10^{-5} K^{-1} \) )
A \( \cdot 2.2 \times 10^{7} \) Ра
B . \( 2.2 \times 10^{6} \) ра
c. \( 2.2 \times 10^{8} \) Pa
D. \( 2.2 \times 10^{9} \) pa
| 3 |
Physics
|
The value of
\( \left|\begin{array}{ccc}a_{1} x+b_{1} y & a_{2} x+b_{2} y & a_{3} x+b_{3} y \\ b_{1} x+a_{1} y & b_{2} x+a_{2} y & b_{3} x+a_{3} y \\ b_{1} x+a_{1} & b_{2} x+a_{2} & b_{3} x+a_{3}\end{array}\right| \) is
equal to
A \( \cdot x^{2}+y^{2} \)
B.
\( \mathbf{c} \cdot a_{1} a_{2} a_{3} x^{2}+b_{1} b_{2} b_{3} y^{2} \)
D. none of these
| 2 |
Maths
|
When air is replaced by a dielectric medium of force constant \( \mathrm{K} \), the
maximum force of attraction between
two charges, separated by a distance :
A. decreases K times
B. increases K times
C. remains unchanged
D. becomes \( \frac{1}{K^{2}} \) times
| 3 |
Physics
|
The process of zinc plating on iron sheet is known as
A. annealing
B. roasting
c. galvanization
D. smelting
| 1 |
Chemistry
|
Solve:
\( \mathbf{5}+\mathbf{5}^{2}+\mathbf{5}^{3}+\ldots \ldots+\mathbf{5}^{n} \)
| 2 |
Maths
|
The kinetic energy of an electron in the first Bhor orbit of hydrogen is :
A. 13.6 eV
B. 6.8 eV
c. \( -13.6 e V \)
D. 27 eV
| 3 |
Physics
|
What is the specific heat capacity of balsa wood?
A . \( 0.7 \mathrm{kcal} / \mathrm{kg}^{\circ} \)
B. 0.48 kcal/kg'c
c. 0.8 kcal/kg'c
D. 0.5 kcal/kg'c
| 3 |
Physics
|
Q Type your question
in a room which is at temperature \( \boldsymbol{\theta}_{0} \)
the graph between the temperature \( \boldsymbol{T} \) of
the metal and time \( t \) will be closet to:
\( A \)
B.
\( c \)
\( D \)
| 3 |
Physics
|
Contains carbon that are \( s p^{2} \)
hybridized:
\( \mathbf{A} \cdot C_{2} H_{5} \)
B. \( C_{2} H_{4} \)
c. \( C_{2} H_{2} \)
D. \( C_{2} H_{5} O H \)
E \( \cdot C_{3} H_{8} \)
| 1 |
Chemistry
|
In how many ways can the letters of the
word PERMUTATIONS be arranged
if there are always 4 letters between \( P \)
and \( S ? \)
| 2 |
Maths
|
A metallic rod of length \( l \) and cross
sectional area \( A \) is made of a material
of Young modules \( Y \). If the rod is
elongated by an amount \( y, \) then the work done is proportional to
A \( . y \)
B. \( \frac{1}{y} \)
c. \( y^{2} \)
D. \( \frac{1}{y^{2}} \)
| 3 |
Physics
|
Conjoint, collateral, open and endarch
vascular bundles are found in
A. Monocot stem
B. Monocot root
c. Dicot root
D. Dicot stem
| 0 |
Biology
|
Name the process of converting vegetable oil to vegetable ghee.
| 1 |
Chemistry
|
Fill in the blank:
The smallest part of the moon that
appears in the sky is called
A. full moon
B. half moon
c. crescent moon
D. quarter moon
| 3 |
Physics
|
H.O.M.O (Highest Occupied Molecular Orbital) of CO molecular is:
A. Non-bonding M.O. with slight antibonding character
B. Non-bonding M.O. with slight bonding character
c. Pure non-bonding M.O
D. None of the above
| 1 |
Chemistry
|
Using clay, a student made a right
circular cone of height \( 48 \mathrm{cm} \) and base
radius \( 12 \mathrm{cm} . \) Another student reshapes
it in the form of a sphere. Find the
radius of the sphere
| 2 |
Maths
|
If \( \boldsymbol{a}_{\boldsymbol{i}}>\mathbf{1} \) for all \( \boldsymbol{i} \boldsymbol{\epsilon} \boldsymbol{N}, \) then \( \log _{\boldsymbol{a}_{2}} \boldsymbol{a}_{\boldsymbol{1}}+ \)
\( \log _{a_{3}} a_{2}+\ldots+\log _{a_{n}} a_{n-1}+\log _{a_{1}} a_{n} \)
has the minimum value
\( \mathbf{A} \cdot \mathbf{1} \)
B. 2
\( c \cdot 0 \)
D. none of these
| 2 |
Maths
|
The majority carriers in a p-type semiconductor are
A. Electrons
B. Holes
c. Both A and B
D. Impurities
| 3 |
Physics
|
What is the length of human DNA
containing \( 6.6 \times 10^{9} \) bp nitrogen
bases?
\( \mathbf{A} \cdot 22 n m \)
B. \( 0.22 \mathrm{mm} \)
\( \mathbf{c} .2 .2 \mathrm{m} \)
D. 22m
| 0 |
Biology
|
A certain sound has a frequency of 256
hertz and a wavelength of \( 1.3 \mathrm{m} \). What difference would be felt by a listener between the above sound and another
sound travelling at the same speed, but of wavelength \( 2.6 \mathrm{m} ? \)
| 3 |
Physics
|
Methyl cyanide on hydrolysis gives:
A . acetic acid.
B. acetaldehyde
c. acetone.
D. methyl amine.
| 1 |
Chemistry
|
Figure shows some equipotential lines distributed in space. A charged object
is moved from point \( A \) to point \( B \)
A. The work done in figure (i) is the greatest.
B. The work done in figure (ii) is the least.
C. The work done is the same in figure (i), (ii) and (iii)
D. The work done is the same in figure (iii) is greater than figure
(ii) but equal to that in figure (i).
| 3 |
Physics
|
The ionization energy of \( L i^{++} \) is equal
to
\( \mathbf{A} \cdot 9 h c R \)
в. \( 6 h c R \)
\( \mathbf{c} \cdot 2 h c R \)
D. \( h c R \)
| 3 |
Physics
|
Explain with the neat labelled diagram
of the structure of Stomata.
| 0 |
Biology
|
A person of mass M kg is standing on a lift. If the lift moves vertically upwards according to given v-t graph then find out the weight of the man at the
following instants : \( \left(\mathrm{g}=10 \mathrm{m} / \mathrm{s}^{2}\right) \)
1) \( t=1 \) second
2) \( t=8 \) seconds
3) \( t=12 \) seconds
| 3 |
Physics
|
Four resistances of each 20 ohm are
connected to form a square \( \boldsymbol{A}, \boldsymbol{B}, \boldsymbol{C}, \boldsymbol{D} \)
The resultant resistance between the
corners \( A C \) and the resistance between
\( A B \) are:
A \( .40 \Omega, 15 \Omega \)
B. \( 15 \Omega, 40 \Omega \)
c. \( 15 \Omega, 20 \Omega \)
D. \( 20 \Omega, 15 \Omega \)
| 3 |
Physics
|
The formula and molecular mass of
common salt is :
A. \( N a C l, 58.5 \)
в. \( M g C l_{2}, 46 \)
c. \( C a C l_{2}, 62 \)
D . \( \mathrm{FeCl}_{3}, 54 \)
| 1 |
Chemistry
|
Write the equation of reaction of chlorobenzene:
Sulphonation
| 1 |
Chemistry
|
Glucose and amino acids are
reabsorbed in the
A. Proximal tubule
B. Distal tubule
c. collecting duct
D. Loop of Henle
| 0 |
Biology
|
A sphere contracts in volume by \( 0.01 \% \) when taken to the bottom of sea \( 1 \mathrm{km} \) deep. Find bulk modulus of the material
of sphere
A. \( 9.8 \times 10^{6} M / M^{2} \)
В. \( 1.2 \times 10^{10} N / M^{2} \)
c. \( 9.8 \times 10^{10} N / M^{2} \)
D. \( 9.8 \times 10^{11} N / M^{2} \)
| 3 |
Physics
|
0.75 mole of solid \( ^{\circ} A_{4}^{\prime} \) and 2 moles of
gaseous \( \boldsymbol{O}_{2} \) are heated in a sealed
vessel, completely using up the reactants and producing only one compound. It is found that when the temperature is reduced to the initial temperature, the contents of the vessel
exhibit a pressure equal to half the original pressure. What conclusions can be drawn from these data the
product of the reaction?
A. \( A_{2} O_{5} \)
в. \( A_{3} O_{4} \)
\( c \cdot A_{2} O_{2} \)
D. none of these
| 1 |
Chemistry
|
\( \frac{\partial}{\phi} \)
\( \delta \)
\( \delta \)
| 1 |
Chemistry
|
Measurement of the rate of
oxygen consumption in unit volume of water over a period of time is done to find out
A. Biogas generation
B. Biological oxygen demand
c. Biosynthetic pathways
D. Fermentation
| 0 |
Biology
|
An electromagnetic field exists only when there is
A. an increasing current
B. decreasing current
c. voltage
D. current
| 3 |
Physics
|
The maximum Coulomb force that can
act on the electron due to the nucleus in
a hydrogen atom will be:-
A. \( 0.82 \times 10^{-8} N \)
N \( . . ~ \)
В. \( 0.082 \times 10^{-8} N \)
c. \( 8.2 \times 10^{-8} N \)
D. \( 820 \times 10^{-8} N \)
| 3 |
Physics
|
Oxygen forms hydride which is to litmus.
A . red
B. blue
c. neutral
D. depends on temperature
| 1 |
Chemistry
|
Obtain an expression for acceleration due to gravity at a height \( h \) above the
earth's surface.
| 3 |
Physics
|
An organic compound containing sulphur is estimated by Carius method
in which fuming \( H N O_{3} \) is used to convert S into:
A. \( S O_{3}^{2-} \)
B. \( S O_{4}^{2-} \)
\( c \cdot S O_{3} \)
D. \( S O_{2} \)
| 1 |
Chemistry
|
A radioactive nucleus with decay
constant \( 0.5 / s \) is being produced at a constant rate of 100 nuclei/s. If at \( t= \)
0 there were no nuclei, the time when
there are 50 nuclei is
A . \( 1 s \)
B. \( 2 \ln \left(\frac{4}{3}\right) \) s
\( c \cdot \ln 2 \)
D. \( \ln \left(\frac{4}{3}\right) \) s
| 3 |
Physics
|
The number of Faradays required to
produce 0.5 mol of free metal from \( \mathbf{A} \mathbf{l}^{\mathbf{3}+} \)
is
\( A \cdot 3 \)
B. 2
\( c \cdot 6 \)
D. 1.5
| 1 |
Chemistry
|
Solve: \( (-12) \times(-3) \times 4 \times(-6)=? \)
\( \mathbf{A} \cdot-144 \)
B . -908
c. +864
\( \mathbf{D} \cdot-864 \)
| 2 |
Maths
|
Draw a right triangle which the sides (other than hypotenuse) are of lengths
\( 4 \mathrm{cm} \) and \( 3 \mathrm{cm} . \) Then construct another
\( \mathbf{5} \)
triangle whose sides are \( \frac{-\operatorname{times}}{3} \) the corresponding sides of the given triangle.
| 2 |
Maths
|
A long wire carries a current of 90 A from east to west direction. Magnetic
field due to current at a point which is \( 1.5 \mathrm{m} \) just below the wire.
| 3 |
Physics
|
The possible value(s) of ' \( \boldsymbol{\theta} \) ' satisfying
the equation \( \sin ^{2} \theta \tan \theta+ \)
\( \cos ^{2} \theta \cot \theta-\sin 2 \theta=1+\tan \theta+ \)
\( \cot \theta, \) where \( \theta \in[0, \pi] \) is/are
A.
в. \( \pi \)
c. \( \frac{7 \pi}{12} \)
D. None of these
| 2 |
Maths
|
Let's write the measurement of the
angles of triangle \( A B C \) if \( A B=B C \)
and \( \angle B A C+\angle A C B=50^{\circ} \)
| 2 |
Maths
|
The number of integral values of \( k \) for
which the equation \( \sin ^{-1} x+ \)
\( \tan ^{-1} x=2 k+1 \) has a solution is
A . 1
B. 2
\( c .3 \)
D. 4
| 2 |
Maths
|
Fill in the blank:
A student while solving a problem on convex mirror makes mistake and uses
sign for focal length, and proceeds. The solution for location of image will be
concave mirror.
\( A \cdot \) same as
B. different from
c. either same or different from
D. having no relation with
| 3 |
Physics
|
Manufacture of which of the following does not require limestone as a raw
material?
A . Quick lime
B. Baking soda
c. Glass
D. Plaster of Paris
| 1 |
Chemistry
|
The relation 'is a sister of in the set of
human beings is
A. only transitive
B. only symmetric
c. equivalent
D. None of these
| 2 |
Maths
|
Assertion
Statement -I: NaCl when exposed in air
it becomes wet.
Reason
Statement -II: NaCl contains
hygroscopic impurities like \( C a C l_{2} \)
\( M g C l_{2} \) etc.
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
|
Sum of a number and its reciprocal is \( \mathbf{5} \frac{1}{\mathbf{5}} . \) Then the required equation is
A \( \cdot y^{2}+\frac{1}{y}=\frac{26}{5} \)
B. \( 5 y^{2}-26 y+5=0 \)
c. \( y^{2}+\frac{1}{y}+\frac{26}{5}=0 \)
D. \( 5 y^{2}+26 y+5=0 \)
| 2 |
Maths
|
If a straight line makes angles \( \boldsymbol{\alpha}, \boldsymbol{\beta}, \boldsymbol{\gamma} \)
with the \( x, y, z \) axes respectively, then show that \( \sin ^{2} \alpha+\sin ^{2} \beta+\sin ^{2} \gamma=2 \)
| 2 |
Maths
|
How many pairs of cranial nerves originate from the brain of rat?
A . 12
B. 8
\( c \cdot 9 \)
D. 1
E. 10
| 0 |
Biology
|
IUPAC name of the compound?
A. hexanoic acid \( 5-a l-1 \)
B. 6 -oxohexanoic acid
C. hexanal-1-carboxylic acid
D. none of these
| 1 |
Chemistry
|
A \( 15 \Omega \) resistor, a \( 220 \mu \mathrm{H} \) coil, and a \( 60 p F \) capacitor are in series across an
ac source. What is the bandwidth of the
circuit?
\( \mathbf{A} \cdot 138 M H z \)
в. \( 10,866 \mathrm{Hz} \)
\( \mathbf{c} .1,907 H z \)
D. \( 138 k H z \)
| 3 |
Physics
|
Assertion (A): Paracetamol is widely used as analgesic even though it is an
antipyretic.
Reason (R): It is administrated to
aspirin-sensitive patients.
Choose the correct option.
A. A is true, R is true and R is the correct explanation of A
B. A is true, R is true and \( R \) is not the correct explanation of A
c. A is true, R is false
D. A is false, R is true
| 1 |
Chemistry
|
A pair of dice is thrown 4 times. If
getting a total of 9 in a single throw is considered as a success then find the
mean and variance of successes.
| 2 |
Maths
|
In the following figure, ABCD is a
parallelogram.If \( \angle A B P=x \angle C B P \),then
find the value of \( \boldsymbol{x} \)
| 2 |
Maths
|
Find integers 'a' and 'b' such that \( \left(x^{2}-\right. \) \( x-1) \) divides \( a x^{17}+b x^{16}+1 \)
| 2 |
Maths
|
The plane of a dip circle is set in the geographic meridian. Then the apparent
dip is \( \left(\delta_{1} \text { is the actual dip and } \delta_{2} \) is the \right. declination):
A \( \cdot \theta=\tan ^{-1}\left(\frac{\tan \delta_{1}}{\tan \delta_{2}}\right) \)
B . \( \theta=\tan ^{-1}\left(\tan \delta_{1} \cos \delta_{2}\right) \)
c. \( \theta=\tan ^{-1}\left(\frac{\tan \delta_{2}}{\cos \delta_{1}}\right) \)
D. \( \theta=\tan ^{-1}\left[\tan \delta_{1} \cos \delta_{2}\right] \)
| 3 |
Physics
|
\( 90 \% \) of the first-order reaction is
completed in 70 minutes. The velocity
constant of the reaction is:
A .0 .0329
B. 0.329
c. 3.29
D. 0.0293
| 1 |
Chemistry
|
Action of \( \boldsymbol{P C l}_{5} \) on \( \boldsymbol{S O}_{2} \) chiefly yields:
A \( . P O C l_{3} \)
в. \( P_{4} S_{3} \)
c. \( s O_{2} C l_{2} \)
D. \( S O_{3} \)
| 1 |
Chemistry
|
A vertical tower stands on a horizontal
plane and is surmounted by a vertical flagstaff of height 5 meters. At a point
on the plane, the angles of elevation of the bottom and the top of the flagstaff
are respectively \( 30^{\circ} \) and \( 60^{\circ} . \) Find the
height of the tower.
| 2 |
Maths
|
For \( \boldsymbol{H}_{3} \boldsymbol{P} \boldsymbol{O}_{3} \) and \( \boldsymbol{H}_{3} \boldsymbol{P} \boldsymbol{O}_{4} \) the correct
choice is:
A \( \cdot H_{3} P O_{3} \) is dibasic and reducing
B. \( H_{3} P O_{3} \) is dibasic and non-reducing
\( \mathrm{c} \cdot H_{3} P O_{4} \) is tribasic and reducing
D. \( H_{3} P O_{3} \) is tribasic and non-reducing
| 1 |
Chemistry
|
Find the value of \( \sum_{n=1}^{13} i^{n}+i^{n+1} \)
| 2 |
Maths
|
The steel balls \( A \) and \( B \) have a mass of
\( 500 g \) each and are rotating about the
vertical axis with an angular velocity of
4 rad/s at a distance of \( 15 C M \) from
the axis. Collar \( C \) is now forced down
until the balls are at a distance of
\( 5 C M \) from the axis. How much work
must be done to move the collar down?
| 3 |
Physics
|
What is \( 25 \% \) of 480
| 2 |
Maths
|
In the electrochemical cell
\( H_{2}(g), 1 a t m\left|H^{+}(1 M)\right|\left|C u^{2+}(1 M)\right| C u(s) \)
which one of the following is the correct value of reduction potential?
A . \( 1.10 \mathrm{V} \)
B. 0.110
c. \( 1.50 \mathrm{v} \)
D. 0.220
| 1 |
Chemistry
|
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