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Choose the correct answers from the
alternatives given:
Vascular bundles are scattered in
A. Monocot root
B. Dicot root
c. Monocot stem
D. Dicot stem
| 0 |
Biology
|
While plotting constraints on a graph paper, terminal points on both the axes are connected by a straight line because:
A. the resources are limited in supply
B. the objective function as a linear function
c. the constraints are linear equations or inequalities
D. all of the above
| 2 |
Maths
|
Identify the wrong pair of statements
I.During plant succession some species colonise an area and populations becomes more numerous whereas
populations of other species decline and even disappear II.Both hydrarch and xerarch successions lead to mesic conditions
III. Secondary succession is a slow process as compared to primary succession
IV.In successive seral stages there is no change in the diversity of species of organisms
A . ॥ , ॥ ॥
в. ।, ॥
c. ॥॥ , । v
D. 1, Il
| 0 |
Biology
|
Which layer protects us from harmful ultraviolet rays of the sun?
A. First layer
B. Second layer
c. Ozone layer
D. Exosphere
| 1 |
Chemistry
|
The moment of inertia of a solid cylinder
about its own axis is the same at its
moment of inertia about an axis
passing through its cenre of gravity and perpendicular to its length. The relation between its length \( L \) and radius \( R \) is
В. \( L=\sqrt{3} R \)
c. \( L=3 R \)
D. \( L=R \)
| 3 |
Physics
|
Give the products formed on reductive ozonolysis with LAH and oxidative
ozonolysis with \( H_{2} O_{2} \), from the compound 2mol butan - 2 - one.
| 1 |
Chemistry
|
In an experimental set-up for the measurement of emf of a half-cell using a reference electrode and a salt bridge, when the salt bridge is removed, the voltage:
A. does not change
B. increases to maximum
c. decreases half the value
D. drops to zero
| 1 |
Chemistry
|
For a CB amplifier current gain is \( 0.54 . \) I the emitter current is \( 6.8 m A \), the
collector current will be
A . \( 1.7 \mathrm{mA} \)
в. \( 2.7 \mathrm{mA} \)
\( c .3 .7 m A \)
D. \( 4.7 \mathrm{mA} \)
| 3 |
Physics
|
Mention important characteristics and applications of a diode.
| 3 |
Physics
|
Oxidation state of phosphorous in
\( \boldsymbol{P O}_{4}^{3-} \) is:
\( A \cdot+2 \)
B. +5
\( c \cdot+4 \)
\( D \cdot+1 \)
E. none of the above
| 1 |
Chemistry
|
In the figure shown below the
conducting shell \( A \) having radius \( R \) is
given charge \( Q \) initially. The shell \( A \) is connected to shell \( B \) of radius \( 2 R \) via
switch \( S \) and a conducting wire. The
switch \( S \) is closed at \( t=0, \) then charge density on the shell \( B \) is (Assuming separation between \( \boldsymbol{A} \) and
\( B \) is very very large)
\( A \)
в. \( \frac{Q}{24 \pi R^{2}} \)
c. \( \frac{Q}{12 \pi R^{2}} \)
D. \( \frac{Q}{6 \pi R^{2}} \)
| 3 |
Physics
|
How many different numbers, greater
than 50000 can be formed with the
\( \operatorname{digits} \mathbf{0}, \mathbf{1}, \mathbf{1}, \mathbf{5}, \mathbf{9} \)
| 2 |
Maths
|
The applied potential difference in the
circuit shown is \( V=10 \sin 100 t \) where
\( V \) is in volt and \( t \) is in second. If the
power factor of the circuit is \( \frac{1}{\sqrt{2}}, \) then
the value of capacitance \( C \) of the
circuit, nearly is:
A. \( 111 \mu F \)
в. \( 333 \mu F \)
c. \( 222 \mu F \)
D. \( 444 \mu F \)
| 3 |
Physics
|
A swimmer swims in still water at a
speed \( =5 k m / h r . \) He enters a \( 200 m \) wide
river, having river flow speed \( =4 k m / h r \) at a point \( A \) and proceeds to swim at an
angle of \( 127^{0}\left(\sin 37^{*}-0.6\right) \) with the
river flow direction. Another point B is located directly across \( A \) on the other side. The swimmer lands on the river
bank at a point C. from which he walks the distance \( \mathrm{CB} \) with a speed \( =3 k m / h r \) The total time in which he reach from \( \mathbf{A} \)
to B is
\( \mathbf{A} \cdot 5 \min \)
B. 4 min
c. 3 min
D. None
| 3 |
Physics
|
Hydraulic lifts are used to lift the heavy loads primarily because:
A. they look good
B. they amplify the force applied by a large extent
c. they are sturdy
D. they have better tensile strength
| 3 |
Physics
|
Jelly fish is placed in which class of coelenterate?
A. Anthozoa
B. Scyphozoa
c. Hydrozoa
D. None of the above
| 0 |
Biology
|
How many significant digits does the measurement \( 0.0384 g \) possess?
\( \mathbf{A} \cdot \mathbf{1} \)
B . 2
\( c .3 \)
D. 4
E . 5
| 1 |
Chemistry
|
While opening a tap with two fingers, the forces applied are
A . equal in magnitude
B. parallel to each other
c. opposite in direction
D. All of the above
| 3 |
Physics
|
\( 4 s^{2} \) is the configuration of the outermost orbit of an element. Its
atomic number would be:
A . 29
B. 24
\( c . \) 30
D. 19
| 1 |
Chemistry
|
Gas B is paramagnetic and support the combustion compound B is :
A. \( N_{2} \)
в. \( N_{2} \),
\( c \cdot O_{2} \)
D. \( N a_{2} O \)
| 1 |
Chemistry
|
What is the vertical cross-section of a
solid cylindrical pipe shown in the
figure?
A. An ellipse
B. A circle
C. A cylinder
D. A rectangle
| 2 |
Maths
|
A carbon resistor of \( (47 \pm 4.7) k \Omega \) is to
be marked with rings of different
colours for its identification. The colour
code sequence will be:
A. Yellow-Green-Violet-Gold
B. Violet-Yellow-Orange-Silver
c. Green-orange-violet-Gold
D. Yellow-violet-orange-silver
| 3 |
Physics
|
The earliest site where human
civilization and crop cultivation started
was presumably
A. Around Caspian and Mediterranean seas
B. Around river Nile
c. chinese river valley
D. All of the above
| 0 |
Biology
|
What is the number of aromatic
isomers for \( C_{7} H_{8} O ? \)
| 1 |
Chemistry
|
Mention any two differences between
ideal and non ideal solution.
| 1 |
Chemistry
|
A rain drop of radius \( 1.5 \mathrm{mm} \)
experience a drag force \( \boldsymbol{F}=(12 \times \)
\( \left.\mathbf{1 0}^{-5} \boldsymbol{v}\right) N, \) while falling through air from
a height \( 2 \mathrm{km}, \) with a velocity v. The terminal velocity of the rain drop will be nearly \( \left(u s e g=10 m / s^{2}\right) \)
A. \( 200 \mathrm{m} / \mathrm{s} \)
B. \( 80 \mathrm{m} / \mathrm{s} \)
\( c \cdot 7 m / s \)
D. \( 3 \mathrm{m} / \mathrm{s} \)
| 3 |
Physics
|
Simplify:\( 2 \times(9)^{\frac{3}{2}} \times(9)^{\frac{-1}{2}} \)
| 2 |
Maths
|
Corrosion can not be prevented by which of the following method?
A. Use of an anode connected to a direct current power
B. Create a barrier between the object being corroded and oxygen
c. Painting
D. Exposing it to sunlight
| 1 |
Chemistry
|
During the preparation of ethane by Kolbe's electrolytic method using inert electrodes the pH of the electrolyte:
A. increases progressively as the reaction proceeds
B. decreases progressively as the reaction proceeds
c. remains constant throughout the reaction
not very high
| 1 |
Chemistry
|
For a positively charged particle moving
in a \( x \) -y plane initially along the \( x \) -axis, there is a sudden change in its path due to the presence of electric and/or magnetic fields beyond P. The curved path is shown in the \( x \) -y plane and is found to be non-circular.Which one of
the following combinations is possible?
A \( \cdot \vec{E}=0, \vec{B}=b \hat{i}+c \hat{k} \)
в. \( \vec{E}=a \hat{i}, \vec{B}=c \hat{k}+a \hat{i} \)
c. \( \vec{E}=0, \vec{B}=c \hat{j}+b \hat{k} \)
D. \( \vec{E}=a \hat{i}, \vec{B}=c \hat{k}+b \hat{j} \)
| 3 |
Physics
|
\( \boldsymbol{8} \boldsymbol{p}(\overline{\boldsymbol{A}} \cap \boldsymbol{B}) \)
| 2 |
Maths
|
Pankaj is planning lunch for his wedding anniversary. At one restaurant, the cost per person for lunch is \( \$ 15 \) with an additional one-time set-up
charge of \( \$ 35 . \) Pankaj has a maximum
budget of \( \$ 150 . \) If \( p \) represents the
number of people (including Pankaj) who will attend the lunch, which of the
following inequalities represents the number of people who can attend within
budget?
A. \( 15 p \leq 150+35 \)
B. \( 35 \leq 150-15 p \)
c. \( 15 p \geq 150-35 \)
D. \( 35 \geq 150-15 p \)
| 2 |
Maths
|
A capacitor is connected to an A.C. circuit, then the phase difference between current and the voltage is :
A . \( \pi \)
в.
c. \( \frac{-\pi}{2} \)
D. zero
| 3 |
Physics
|
\( A B C \) is a right angled triangle. Calculate
the magnitude of force on charge - \( Q \)
| 3 |
Physics
|
Most common oxidation states shown
by cerium are:
\( \mathbf{A} \cdot+2,+4 \)
B. +3,+4
\( \mathrm{c} \cdot+3,+5 \)
D. +2,+3
| 1 |
Chemistry
|
If instead of \( M g F_{2}, \) the coating of the substance whose refractive indices is
larger than the refractive index of glass
was made then interference
A. would not have occurred
B. would have occurred due to total internal reflection of light
c. would have occurred due to refraction of light
D. would have occurred due to strong reflection
| 3 |
Physics
|
Consider the points \( \boldsymbol{P}=(-\sin (\boldsymbol{\beta}- \)
\( \boldsymbol{\alpha}),-\cos \beta), \boldsymbol{Q}=(\cos (\beta-\boldsymbol{\alpha}), \sin \beta) \)
and \( \boldsymbol{R}=(\cos (\boldsymbol{\beta}-\boldsymbol{\alpha}+\boldsymbol{\theta}), \sin (\boldsymbol{\beta}-\boldsymbol{\theta})) \)
where \( 0<\alpha, \beta<\frac{\pi}{4} \) then
A. \( P \) lies on the line segment \( R Q \)
B. \( Q \) lies on the line segment \( P R \)
c. \( R \) lies on the line segment \( Q P \)
D. \( P, Q, R \) are non-collinear
| 2 |
Maths
|
Differentiate between oxygenic and anoxygenic photosynthesis?
| 0 |
Biology
|
Which of the following is not correct for
enzyme catalysis?
A. The enzyme activity is maximum at optimum pH which is between \( 5-7 \).
B. Each enzyme is specific for a given reaction.
C. The favourable temperature range of enzyme activity is between \( 50-60^{\circ} \mathrm{C} \)
D. The enzymatic activity is increased in presence of certain substances called co-enzymes.
| 1 |
Chemistry
|
State whether the given statement is True or False :
The earth moves around the sun with a
uniform velocity.
A. True
B. False
| 3 |
Physics
|
During an adiabatic change the density
becomes \( \frac{1}{16} t h \) of the initial value, then \( \frac{\boldsymbol{P}_{1}}{\boldsymbol{P}_{2}} \) is \( :(\gamma=\mathbf{1 . 5}) \)
A . 16
B. 4
c. 32
D. 64
| 3 |
Physics
|
Carboxylic acids dimerise due to:
A. high molecular weight
B. coordinate bonding
C. intermolecular hydrogen bonding
D. covalent bonding.
| 1 |
Chemistry
|
Electroplating does not help
A. fine finish to the surface
B. shining appearance
C. metals to become hard
D. protect metals against corrosion
| 3 |
Physics
|
Find the modulus, argument and the principal argument of the complex numbers.
\( z=1+\cos \frac{10 \pi}{9}+i \sin \left(\frac{10 \pi}{9}\right) \)
A . Principal Arg \( z=-\frac{4 \pi}{9} ;|z|=2 \cos \frac{4 \pi}{9} ; \operatorname{Arg} z=2 k \pi- \)
\( \frac{4 \pi}{9} k \epsilon l \)
B. Principal Arg \( z=-\frac{10 \pi}{9} ;|z|=2 \cos \frac{10 \pi}{9} ; \) Argz\( =2 k \pi- \)
\( \frac{10 \pi}{9} k \epsilon l \)
C . Principal Arg \( z=-\frac{-10 \pi}{9} ;|z|=2 \cos \frac{-10 \pi}{9} ; \) Argz\( = \)
\( 2 k \pi-\frac{4 \pi}{9} k \epsilon l \)
D. Principal Arg \( z=-\frac{-4 \pi}{9} ;|z|=2 \cos \frac{-4 \pi}{9} ; \) Argz\( =2 k \pi- \)
\( \frac{4 \pi}{9} k \epsilon l \)
| 2 |
Maths
|
A composite wire consits of a steel wire of length \( 1.5 ~ m \) and a copper wire of
length \( 2.0 m, \) with a uniform cross-
sectional area of \( 2.5 \times 10^{-5} m^{2} . \) It is
loaded with a mass of 200 kg. Find the
extension produced. Young's modulus of copper is \( 1.0 \times 10^{11} N m^{-2} \) and that of
steel is \( 2.0 \times 10^{11} N m^{-2} \)
Take \( \boldsymbol{g}=\mathbf{9 . 8} \boldsymbol{m} \boldsymbol{s}^{-2} \)
| 3 |
Physics
|
f \( \left|x^{2}-7\right| \leq 9 \) then find the values of \( x \)
| 2 |
Maths
|
Find the potential difference (in \( V \) ) between points \( A \) and \( B \) shown in the
circuit.
| 3 |
Physics
|
A rod of mass \( m \) and length \( L \), lying
horizontally, is free to rotate about a vertical axis through its centre. \( \mathbf{A} \) horizontal force of constant magnitude \( F \) acts on the rod at a distance of \( L / 4 \) from the centre. The force is always
perpendicular to the rod. Find the angle rotated by the rod during the time \( t \) after the motion starts.
A \( \cdot \frac{3 F t^{2}}{5 m L} \)
B. \( \frac{5 F t^{2}}{2 m L} \)
c. \( \frac{3 F t^{2}}{2 m L} \)
D. \( \frac{2 F t^{2}}{3 m L} \)
| 3 |
Physics
|
Dissolving \( 120 g \) of urea in \( 1000 g \) of water gave a solution of density \( \mathbf{1 . 1 5} g / \boldsymbol{m} \boldsymbol{L} . \) The molarity of the solution is:
A \( .1 .79 M \)
в. \( 2 M \)
\( c .2 .05 M \)
D. 2.22 \( M \)
| 1 |
Chemistry
|
\( \lim _{x \rightarrow \frac{n}{2}} \frac{1-(\sin x)^{\frac{-1}{3}}}{1-(\sin x)^{\frac{-2}{3}}} \) is?
\( A \)
B. \( \frac{3}{2} \)
\( c \cdot 1 \)
2
\( D \)
| 2 |
Maths
|
Which of the following group is diamagnetic?
A. Copper, hydrogen, silver
B. Copper, hydrogen, argon
c. Hydrogen, oxygen, argon
D. Copper, silver, oxygen
| 3 |
Physics
|
Assertion
\( Z r \) and \( H f \) occur together in nature and are difficult to separate.
Reason
\( Z r \) and \( H f \) have identical radii due to lanthanide contraction.
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
|
The addition of pentavalent impurities
of the semiconductor.
A. brings no change to the conductivity
B. decreases the conductivity
c. increases the conductivity
D. reduces the formation of free electrons
| 3 |
Physics
|
Find the increment in the length of a
steel wire of length \( 5 m \) and radius
6 mm under its own weight.Density of steel \( =8000 k g / m^{3} \) and Young's
modulus of steel \( =2 \times 10^{11} N / m^{2} \)
What is the energy stored in the wire? \( \left(\text { Take } g=9.8 m / s^{2}\right) \)
| 3 |
Physics
|
Find radian measure corresponding to
the degree measure \( -37^{\circ} 30^{\prime} \)
| 2 |
Maths
|
In classical physics the force \( F \) acting on a body is assumed to be the product of mass \( \mathrm{m} \) and acceleration a.lf \( \mathrm{m}=2.31 \)
\( \mathrm{kg} \) and acceleration is \( 3.123 \mathrm{m} / \mathrm{s}^{2} \), then taking into account significant figures the force \( F \) should be reported as
A. \( 7.21413 \mathrm{N} \)
B. 7.2141
c. 7.214 N
D. 7.21 N
| 3 |
Physics
|
A charge q is enclosed as shown in all
figure, the electric flux is
(i)
(iii)
A. maximum in (i)
B. maximum in (ii)
c. maximum in (iii)
D. equal in all
| 3 |
Physics
|
Evaluate: \( \int_{0}^{\pi / 2} \frac{8 \sin \theta+4 \cos \theta}{\sin \theta+\cos \theta} \)
| 2 |
Maths
|
Identify the graph of the exponential
function \( \boldsymbol{f} \)
\( \boldsymbol{f}(\boldsymbol{x})=\boldsymbol{e}^{(\boldsymbol{x}+\mathbf{2})} \)
| 2 |
Maths
|
The time from sunrise to sunset is
lengthened by about 4 minutes on the earth because
A. the earth revolves slowly around the sun
B. the earth rotates slowly on its axis
c. the earth is losing its round shape
D. the earth has atmosphere
| 3 |
Physics
|
A man gets \( R s .7920 \) for working 48
hours a week. How much does he get
when he works 36 hours a week?
A. \( R s .7150 \)
в. \( R s .5940 \)
c. \( R s .6660 \)
D. Rs. 4000
| 2 |
Maths
|
Which of the following shows allotropy?
A. Silver
B. Sulphur
c. Hydrogen
D. Nitrogen
| 1 |
Chemistry
|
Molar heat capacity of a gas does not depend on
A. Its temperature
B. Its molecular weight
c. Its atomicity
D. The conditions under which heat is supplied
| 3 |
Physics
|
Find whether the following statement is true or false:
Equivalent rational numbers of a positive rational numbers are all positive.
A. True
B. False
| 2 |
Maths
|
The magnetic flux in a coil of 100 turns increases by \( 12 \times 10^{3} \) Maxwell in 0.2
second due to the motion of a magnet. The emf induced in the coil will be
\( A \cdot 6 v \)
B. \( 0.6 v \)
c. \( 0.06 v \)
D. 60 V
| 3 |
Physics
|
A A ratery is cumectuatuss AD as
shown in the figure. The value of the current supplied by the battery when in one case, battery's positive terminal is connected to A and in other case when
positive terminal of battery is connected to B will respectively be
в. \( 0.1 A \) and \( 0.2 A \)
c. 0.2 A and 0.4 A
D. \( 0.4 \mathrm{A} \) and \( 0.2 \mathrm{A} \)
| 3 |
Physics
|
A cyclotron is used to accelerate
protons to a kinetic energy of 5 MeV. If the strength of magnetic field in the
cyclotron is \( 2 T, \) find the radius and the frequency needed for the applied alternating voltage of the cyclotron.
(Given: Velocity of proton \( =3 x \)
\( \left.10^{7} m / s\right) \)
| 3 |
Physics
|
Let \( x . y . z=105 \) where \( x, y, z \in N . \) Then
number of ordered triplets \( (x, y, z) \) satisfying the given equation is
A . 15
B. 27
\( c \cdot 6 \)
D. 33
| 2 |
Maths
|
The distance between any two crests or troughs is \( 0.5 \mathrm{m} \) in a travelling wave. Find the wavelength of the wave
A . \( 0.5 \mathrm{m} \)
B. \( 1 \mathrm{m} \)
c. \( 0.25 \mathrm{m} \)
D. 1.5 \( m \)
| 3 |
Physics
|
A tall man of height 6 feet wants to see his full image. Then the minimum required length of the mirror will be
A . 12 feet
B. 3 feet
c. 6 feet
D. Any length
| 3 |
Physics
|
\( \int_{-1}^{1} \sqrt{\left(\frac{x+2}{x-2}\right)^{2}}+\left(\frac{x-2}{x+2}\right)^{2}-2 d x \)
A \( \cdot \sin \frac{4}{3} \)
B. \( \operatorname{sln} \frac{3}{4} \)
c. \( 4 \ln \frac{4}{3} \)
\( D \)
| 2 |
Maths
|
Activity of succinic dehydrogenase involves which of the following in TCA cycle?
A. NAD
B. FAD
c. GDP
D. ATP
| 0 |
Biology
|
Assertion
When a ball of mass \( \mathrm{m} \) hits normally a
wall with a velocity \( v \) and rebounds with
same velocity \( v, \) impulse imparted to
the wall is \( 2 m v \)
Reason
Impulse = change in linear momentum
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
|
Water from a tap emerges vertically downwards with an initial speed of
\( 1.0 m s^{-1} . \) The cross-sectional area of
the tap is \( 10^{-4} m^{2} \). Assume that the
pressure is constant throughout the stream of water and that the flow is
steady. The cross-sectional area of the
stream \( 0.15 m \) below the tap is \( (g= \)
\( 10 m s^{-2} \)
В. \( 1.0 \times 10^{-5} \mathrm{m}^{2} \)
D. \( 2.0 \times 10^{-5} \mathrm{m}^{2} \)
| 3 |
Physics
|
If \( \vec{A} \times \vec{B}=\vec{B} \times \vec{C}=\vec{C} \times \vec{A} \) then \( \vec{A}+ \)
\( \vec{B}+\vec{C} \) is equal to:
A. zero
B. sum of magnitudes
c. twice of the sum of magnitudes.
D. unity.
| 3 |
Physics
|
If \( \boldsymbol{A}=\left[\begin{array}{ccc}1 & -1 & 1 \\ 2 & 1 & 3 \\ 1 & 1 & 1\end{array}\right], \) Find \( A^{-1} . \) Using
\( A^{-1} \), solve the following system or liner
equation.
\( \boldsymbol{x}+\mathbf{2} \boldsymbol{y}+\boldsymbol{z}=\mathbf{4} ;-\boldsymbol{z}+\boldsymbol{y}+\boldsymbol{z}=\mathbf{0} ; \boldsymbol{x}- \)
\( \mathbf{3} \boldsymbol{y}+\boldsymbol{z}=\mathbf{2} \)
| 2 |
Maths
|
Burning of wood is a \( _{-}-_{-}-_{-} \) change.
A . reversible
B. physical
c. irreversible
D. all of these
| 1 |
Chemistry
|
In the aqueous solution of sodium acetate the ion that undergoes hydrolysis is :
A. \( C H_{3} C O O^{-} \)
В. \( N a^{+} \)
c. \( N a^{+} \) and \( C H_{3} C O O \)
D. \( N a^{-} \)
| 1 |
Chemistry
|
Read the bar graph shown in Fig. 23.8 and answer the following questions
What is the information given by the bar
graph?
Bar graph of the tickets of different state lotteries sold by an agent on a day.
| 2 |
Maths
|
If an equiconvex lens is cut into two
halves along (i) \( X O X^{\prime} \) and (ii) \( Y O Y^{\prime} \)
as shown in the figure. Let \( f, f^{\prime}, f^{\prime \prime} \) be the focal lengths of complete lens of each, in case (i) and of each half in case
(ii) respectively.
Choose the correct statement from the
following?
\( \mathbf{A} \cdot f^{\prime}=f, f^{\prime \prime}=f \)
B . \( f^{\prime}=2 f, f^{\prime \prime}=2 f \)
C. \( f^{\prime}=f, f^{\prime \prime}=2 f \)
D. \( f^{\prime}=2 f, f^{\prime \prime}=f \)
| 3 |
Physics
|
Determine the standard reduction
potential for the half reaction.
\[
\boldsymbol{C l}_{2}+\mathbf{2} e^{-} \rightarrow \mathbf{2} \boldsymbol{C l}^{-}
\]
Given: \( \boldsymbol{P t}^{2+}+\mathbf{2} \boldsymbol{C l}^{-} \rightarrow \boldsymbol{P t}+ \)
\[
\begin{array}{l}
\boldsymbol{C l}_{2}, \boldsymbol{E}_{c e l l}=-\mathbf{0 . 1 5} \boldsymbol{V} \\
\boldsymbol{P t}^{2+}+\boldsymbol{2} e^{-} \rightarrow \boldsymbol{P t}, \boldsymbol{E}=1.20 \boldsymbol{V}
\end{array}
\]
| 1 |
Chemistry
|
Which will have least inertia?
\( A \). A football
B. A needle
C. A thread
D. A refrigerator
| 3 |
Physics
|
Two waves are said to have destructive
interference if
A. their frequencies are same
B. their frequencies are doubled
c. the phase difference is same
D. the phase difference is \( 180^{\circ} \)
| 3 |
Physics
|
The bond order of \( C O \) molecule on the
basis of molecular orbital theory is:
A. zero
B . 2
\( c .3 \)
D.
| 1 |
Chemistry
|
The diagram represents an atom 'X'. Answer the following.
f atom 'X' has 1 electron in its outer
shell, is it a non-metal.
A. True
B. False
| 1 |
Chemistry
|
Einstein's equation is given as-
| 3 |
Physics
|
A particle covers \( 150 \mathrm{m} \) in 8 thsecond
starting from rest, its acceleration is:
A \( \cdot 15 m / s^{2} \)
B. \( 20 m s^{2} \)
c. \( 10 m / s^{2} \)
D. \( 8 m / s^{2} \)
| 3 |
Physics
|
Biodegradable pollutant is
A. Plastic
B. Asbestors
c. sewage
D. Mercury
| 0 |
Biology
|
Two vibrating strings of the same material but lengths \( L \) and \( 2 L \) have
radii \( 2 r \) and \( r \) respectively. They are
stretched under the same tension.
Both the strings vibrate in their fundamental modes, the one of length \( L \)
with frequency \( v_{1} \) and the other with frequency \( v_{2} . \) The ratio \( \frac{v_{1}}{v_{2}} \) is given by
\( A \cdot 2 \)
B. 4
\( c .8 \)
D.
| 3 |
Physics
|
\( \angle 1 \) and \( \angle 2 \) are adjacent angles.
It is given that \( \angle A O B=140^{\circ} . \) What is
value of \( \angle \mathbf{1}+\angle \mathbf{2} \)
A \( \cdot 210^{\circ} \)
B \( .220^{\circ} \)
\( c \cdot 230^{\circ} \)
D. \( 240^{\circ} \)
| 2 |
Maths
|
Is there any change in the hybridisation
of \( B \) and \( N \) atoms as a result of the
following reaction?
\( \boldsymbol{B} \boldsymbol{F}_{3}+\boldsymbol{N} \boldsymbol{H}_{3} \rightarrow\left[\boldsymbol{F}_{3} \boldsymbol{B} \cdot \boldsymbol{N} \boldsymbol{H}_{3}\right] \)
| 1 |
Chemistry
|
\( 9^{t h} \) term in the expansion of
\( \left(\frac{x}{a}-\frac{3 a}{x^{2}}\right)^{12} \)
A \( \cdot^{12} C_{9} \cdot 3^{9} x^{-12} a^{6} \)
В. \( ^{12} C_{6} \cdot 3^{8} x^{-16} a^{6} \)
C \( .^{12} C_{4} \cdot 3^{8} x^{-12} a^{4} \)
D. none of the above
| 2 |
Maths
|
Draw a ray diagram for concave mirror when the object is between center of
curvature and focus
| 3 |
Physics
|
Metals extracted by electrolysis of their fused salts are :
A. highly electropositive
B. highly electronegative
c. Both A and B
D. None of the above
| 1 |
Chemistry
|
Molecular formula of pyrophosphoric acid is :
A. \( H_{4} P_{2} O_{7} \)
в. \( H_{4} P_{2} O_{6} .2 H_{2} O \)
c. \( H_{4} P_{2} O_{8} \)
D. \( H P O_{3} \)
| 1 |
Chemistry
|
A motor rated \( 500 \mathrm{W}, 230 \mathrm{V} \) utilizes 3
units of electrical energy. Calculate the time for which the motor works.
| 3 |
Physics
|
A stationary object at \( 4^{\circ} \mathrm{C} \) weighing 3.5 kg falls from a height \( 2000 \mathrm{m} \) on a snow
mountain at \( 0^{\circ} \mathrm{C} \). If the temperature of the object before comes to rest
immediately \( \left(g=10 m / s^{2}\right) \) and latent
heat of ice \( =3.5 \times 10^{6} J / s \) ), then the
object :
A. 2 gm of ice
B. 200 gm of ice
c. 20 gm of ice
D. 2 kg of ice
| 3 |
Physics
|
Which of the following is used as freezing mixture?
A. Mixture of ether and liquid \( C O_{2} \)
B. Mixture of ether and ethyl alcohol
C. Mixture of ether and dry ice
D. Mixture of ethyl alcohol and dry ice
| 1 |
Chemistry
|
Solve the following equation:
\( 2^{\sin ^{2} x}+2^{\cos ^{2} x}=2 \sqrt{2} \)
| 2 |
Maths
|
\( A B \) is a chord of a circle with center 0
The tangent at B cuts AO produced at T
if \( \angle B A T=25^{\circ} \) Then the value of
\( \angle B T A \) is
A . \( 30^{\circ} \)
B. \( 60^{\circ} \)
\( c \cdot 25 \)
D. \( 40^{\circ} \)
| 2 |
Maths
|
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