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Ammonia forms the complexion
\( \left[\boldsymbol{C u}\left(\boldsymbol{N} \boldsymbol{H}_{3}\right)_{4}\right]^{2+} \) with copper ions in the
alkaline solution because:
A. in acidic solutions, protons coordinate with ammonia molecules
B. in acidic solutions, hydration protects copper ions.
c. in alkaline solutions, insoluble \( C u(O H)_{2} \) is precipitated which is soluble in excess of any alkali
D. copper hydroxide is an atmospheric substance.
| 1 |
Chemistry
|
Find the value of \( \left(\frac{2 i}{1+i}\right)^{2} \)
| 2 |
Maths
|
Differentiate between Anaerobic
Respiration and Fermentation:
| 0 |
Biology
|
A metal was irradiated by light of frequency \( 3.2 \times 10^{15} s^{-1} . \) The
photoelectron produced had its \( \mathrm{KE}, 2 \) times the KE of the photoelectron which was produced when the same metal was irradiated with a light of frequency \( 2.0 \times 10^{15} s^{-1} . \) What is the ionization
energy of metal?
| 1 |
Chemistry
|
A point charge \( q \) is located at the point \( (0,0,-a) . \) Consider a hemispherical surface of radius 'a' with its centre at
the origin and \( z \geq 0 . \) The modulus of the electric flux through the hemispherical
surface is:
A \( \cdot q / €_{0} \)
B \( \cdot q /\left(2 \sqrt{2} \in_{0}\right) \)
\( ^{\mathbf{c}} \cdot\left(1-\frac{1}{\sqrt{2}}\right) q / \epsilon_{0} \)
D \( \left(1-\frac{1}{\sqrt{2}}\right) q /\left(2 \in_{0}\right) \)
| 3 |
Physics
|
When a uniform wire of radius r is
stretched by a \( 2 k g \) weight, the increase
in its length is 2.00 mm. If the radius of
the wire is \( r / 2 \) and other conditions
remain in the same, increase in
its length is
A. \( 2.00 \mathrm{mm} \)
в. \( 4.00 \mathrm{mm} \)
c. \( 6.00 m m \)
D. \( 8.00 m m \)
| 3 |
Physics
|
A material has Poisson's ratio \( 0.2 . \) If a
uniform rod of its suffers longitudinal
strain \( 4.0 \times 10^{-3}, \) calculate the
percentage change in its volume.
A . \( 0.15 \% \)
B . \( 0.02 \% \)
c. \( 0.24 \% \)
D. 0.48\%
| 3 |
Physics
|
The average kinetic energy of a molecule of a perfect gas is :
A \( \cdot \frac{2}{3} k T \)
B. \( 1.5 k T \)
c. \( 2.5 k T \)
D. none of these
| 3 |
Physics
|
A dog weighting \( 5 k g \) is standing on a flat boat so that it is \( 10 \mathrm{m} \) from the
shore. The walks on the boat towards
the shore and then halts. The boat
weights \( 20 k g \) and one can assume that
then no friction between it and the
water. How far is the dog from the shore
at the end of this time?
\( \mathbf{A} \cdot 3.2 m \)
в. \( m \)
\( c .10 m \)
D. \( 6.8 m \)
| 3 |
Physics
|
How many dimension does a surface
has ?
| 2 |
Maths
|
What is momentum? Write its SI unit.
Interpret force in terms of momentum
Represent the following situation graphically Momentum versus mass when velocity
is constant
| 3 |
Physics
|
The radius of a circular park is 50 m.A
circular concrete footpath of width \( 5 \boldsymbol{m} \)
is construction around the park. Find the cost of construction at the rate of
Rs50 per \( \boldsymbol{m}^{2} \) ?
| 2 |
Maths
|
Which of the followings are correct
regarding ionization?
A. It refers to the formation of a charged atom or molecule, from the gain or loss of a full electron
B. Its neither a gain of electron nor a loss of electron
c. Both \( A \) and \( B \)
D. None of these
| 1 |
Chemistry
|
In majority of radioactive elements, the ratio of the number of neutrons to that
of protons
A . decreases
B. increases
c. remains constant
D. sometimes decreases sometimes increases
| 3 |
Physics
|
The condition that the equation \( a x+ \)
\( b y+c=0 \) represent a linear equation
in two variables is :
A \( . a \neq 0, b=0 \)
в. \( b \neq 0, a=0 \)
c. \( a=0, b=0 \)
D. \( a \neq 0, b \neq 0 \)
| 2 |
Maths
|
Oxides of the various metals are
converted into metal by heating but not in :
A. \( A g_{2} O \)
B. Cuo
c. Hgo
D. all are correct
| 1 |
Chemistry
|
The elements posses stable electronic
configuration are called as
A. Transition metals
B. Non-transition metals
c. Noble gases
D. None of these
| 1 |
Chemistry
|
A man throws balls into the air one after
the other, throwing one when other is at the highest point. How high the balls rise if he throws twice a second?
A . \( 2.45 \mathrm{m} \)
B. 1.25m
c. \( 19.6 \mathrm{m} \)
D. \( 4.9 \mathrm{m} \)
| 3 |
Physics
|
During germination, stem grows upward and root goes downward because
A. It depends upon light
B. Of auxin
c. It does not depend on light
D. of epinasty and hyponasty
| 0 |
Biology
|
What reactant must be present for a reaction to be classified as
combustion?
A \( \cdot C l_{2} \)
в. \( C H_{4} \)
\( c \cdot O_{2} \)
D. \( C O \)
| 1 |
Chemistry
|
\( 0.3500 g \) of potassium oxalate is titrated with \( 37.40 m L \) of sodium
permaganate to reach a pink end point in the following reaction:
\( \mathbf{5} C_{2} O_{4(a q)}+2 M n O_{4(a q)}^{-}+16 H_{(a q)}^{+} \rightarrow \)
\( \mathbf{2} M \boldsymbol{n} \boldsymbol{S} \boldsymbol{O}_{4(a q)}+\boldsymbol{6} \boldsymbol{S} \boldsymbol{O}_{4(a q)}^{2-}+\mathbf{1 0} \boldsymbol{C} \boldsymbol{O}_{2(\boldsymbol{g})}+ \)
\( \mathbf{8} \boldsymbol{H}_{2} \boldsymbol{O}_{(l)} \)
What was the concentration of the
sodium permanganate?
| 1 |
Chemistry
|
Chromosomes were first observed in
A. Nasturtium
B. Hydrilla
c. Tradescantia
D. oenothera
| 0 |
Biology
|
For which of the following reactions \( \boldsymbol{K}_{\boldsymbol{p}} \)
and \( K_{c} \) are not same?
A \( \left.\cdot H_{2}(g)+C l_{(} g\right) \rightleftharpoons 2 H C l(g) \)
B \( \cdot 2 S O_{3}(g) \rightleftharpoons 2 S O_{2}(g)+O_{2}(g) \)
c. \( N_{2}\left(g+O_{2} \rightleftharpoons 2 N O(g)\right. \)
D. None of these
| 1 |
Chemistry
|
Henry's law constant for oxygen
dissolved in water is \( 4.34 \times 10^{4} \) atm at
\( 25^{C} . \) If the partial pressure of oxygen in air is 0.4 atm. Calculate the
concentration (in moles per litre) of the dissolved oxygen in water in
equilibrium with air at \( 25^{\circ} C \)
\( \mathbf{A} \cdot 5.11 \times 10^{-4} \)
В. \( 5.11 \times 10^{-3} \)
c. \( 9.2 \times 10^{-6} \)
D. \( 0.92 \times 10^{-6} \)
| 1 |
Chemistry
|
BOD stands for
A. Biological organism death
B. Biochemical organic matter decay
C. Biotic oxidation demand
D. Biochemical oxygen demand
| 0 |
Biology
|
An Insulated vessel contains \( 0.4 \mathrm{kg} \) of
water at \( 0^{\circ} \mathrm{C} . \) A piece of \( 0.1 \mathrm{kg} \) ice at
\( -15^{\circ} C \) is put into it and steam at
\( 100^{\circ} \mathrm{C} \) is bubbled into it until all ice is
melted and finally the contents are
liquid water at \( 40^{\circ} \mathrm{C} \). Assume that
the vessel does not give or take any heat and there is no loss of matter and heat
to the surroundings. Specific heat of ice is \( 2.2 \times 10^{3} J k g^{-1} K^{-1} \) heat of fusion of
water is \( 333 \times 10^{3} J k g^{-1} \) heat of
vaporization of water is \( 2260 \times \)
\( 10^{3} J k g^{-1} . \) The amount of steam that
was bubbled into the water is:
A . \( 34.7 g \)
в. \( 236 g \)
C . 0.023 g
D. \( 48.01 g \)
| 3 |
Physics
|
Let \( f \) be a twice differentiable function
[0,2] show that if \( f(0)=0, f(1)=2 \)
and \( f(2)=4 \) then there is some point
\( \boldsymbol{x}_{0} \in[\mathbf{0}, \mathbf{2}] \) such that \( \boldsymbol{f}^{\prime \prime}\left(\boldsymbol{x}_{0}\right)=\mathbf{0} \)
| 2 |
Maths
|
Is 0.21 the multiplicative inverse of \( 4 \frac{16}{21} \)
\( ? \)
A. Yes
B. No
c. cannot say
D. None
| 2 |
Maths
|
The bond angle in \( A s H_{3} \) is greater than
that in:
A . \( N H_{3} \)
в. \( H_{2} O \)
c. \( B C l_{3} \)
D. None of these
| 1 |
Chemistry
|
When oil and water are into the same
vessel, two layers are observed with the less dense oil on top. These two liquids
are said to be:
A. hydrophilic
B. hydrophobic
c. insoluble
D. immiscible
| 1 |
Chemistry
|
How many different products can be obtained by multiplying two or more of the numbers 3,5,7,11 (without repetition)?
| 2 |
Maths
|
The metal that can not displace
hydrogen from dil. \( \boldsymbol{H} \boldsymbol{C l} \) is:
\( A . A l \)
в. \( F e \)
c. \( C u \)
D. \( Z n \)
| 1 |
Chemistry
|
Two block \( A \) and \( B \) are connected to
each other as shown is fig. and spring
and pulley. The block \( B \) slides at a
horizontal top surface of stationary block \( C, \) and block \( A \) slides along
vertical slides of \( C \), both with same
uniform speed. The coefficient of friction between the block is \( 0.2(l) \)
spring constant of spring is \( 1960 N / m \)
f mass of block is \( 2 k g \). Find energy
stored in spring,
| 3 |
Physics
|
Hydrogen does not combine with:
A. antimony
B. sodium
C. bismuth
D. helium
| 1 |
Chemistry
|
In a very long solenoid of radius \( \boldsymbol{R} \), if
the magnetic field changes at the rate of \( d B / d t . A B=B C . \) The induced emf
for the triangular circuit \( A B C \) shown in
figure is :
\( ^{A} \cdot_{R^{2}}\left(\frac{d B}{d t}\right) \)
в. \( _{4 R^{2}}\left(\frac{d B}{d t}\right. \)
\( ^{\mathrm{C}} \cdot \frac{1}{2} R^{2}\left(\frac{d B}{d t}\right) \)
D. \( 2 R^{2}\left(\frac{d B}{d t}\right. \)
| 3 |
Physics
|
For how long current of \( 3 \mathrm{A} \) has to passed through \( A g N O_{3} \) solution to coat a
metal surface of \( 80 \mathrm{cm}^{2} \) area and
thickness of \( 5 \times 10^{-4} c m . \) The density of
silver is \( 10.5 \mathrm{gm} / \mathrm{cm}^{3} \)
| 1 |
Chemistry
|
Which of the following change the activity of radioisotope?
A. Temperature
B. Pressure
c. chemical environment
D. None of the above
| 3 |
Physics
|
In a sequence, if \( S_{n} \) is the sum of the
first \( n \) terms and \( S_{n-1} \) is the sum of the
first \( (n-1) \) terms, then the \( n^{t h} \) term is
A. \( S_{n-2} \)
в. \( S_{n}-S_{n-1} \)
\( \mathbf{c} \cdot S_{n+1}-S_{n} \)
D. \( S_{n+1}-S_{n-1} \)
| 2 |
Maths
|
Which of the following ring compounds obeys Huckel's rule?
A \( \cdot C_{4} H_{4}^{-1} \)
B. \( C_{4} H_{4}^{+1} \)
c. \( C_{4} H_{4}^{-2} \)
D. \( C_{4} H_{4} \)
| 1 |
Chemistry
|
The probability of an event is greater than or equal to and less than or
equal to 1
\( \mathbf{A} \cdot \mathbf{0} \)
B. -
c. -2
D. - 3
| 2 |
Maths
|
Ammonia and the ammonium ion can be differenciated by:
A. an neutron
B. a proton
c. a electron
D. hydroxide
| 1 |
Chemistry
|
Let \( f: N \rightarrow N \) be defined by \( f(n)= \) \( \left\{\begin{array}{l}\frac{n+1}{2}, \text { if } \mathrm{n} \text { is odd } \\ \frac{n}{2}, \text { if } \mathrm{n} \text { is even }\end{array}\right\} \) for all \( n \in N \)
State whether the function \( f \) is bijective.
Justify your answer
| 2 |
Maths
|
A square loop of side \( a \) and a straight
long wire are placed in the same plane as shown in figure. The loop has a
resistance \( \boldsymbol{R} \) and inductance \( \boldsymbol{L} \). The
frame is turned through \( 18^{\circ} \) about the
axis \( O O^{\prime} . \) What is the electric charge
that flows through the loop?
\( ^{\mathbf{A}} \cdot \frac{\mu_{0} I a}{2 \pi R} \ln \left(\frac{2 a+b}{b}\right) \)
в. \( \frac{\mu_{0} I a}{2 \pi R} \ln \left(\frac{b}{b^{2}-a^{2}}\right) \)
c. \( \frac{\mu_{0} I a}{2 \pi R} \ln \left(\frac{a+2 b}{b}\right) \)
D. None of these
| 3 |
Physics
|
A hollow iron ball (A) and a solid iron
ball (B) and cricket ball (C) are dropped from the same height. Which among the three balls reaches the ground first? Assuming there is no resistance
due to air.
\( A \cdot A \)
B. B
\( c \cdot c \)
D. All the three balls reaches ground simultaneously
| 3 |
Physics
|
Acidified solution of chromic acid on
treatment with \( \boldsymbol{H}_{2} \boldsymbol{O}_{2} \) yield:
\( A \cdot C r O_{3}+H_{2} O+O_{2} \)
в. \( C r_{2} O_{3}+H_{2} O+O_{2} \)
\( \mathrm{c} \cdot \mathrm{Cr} \mathrm{O}_{5}+\mathrm{H}_{2} \mathrm{O} \)
D. \( H_{2} C r_{2} O_{7}+H_{2} O+O_{2} \)
| 1 |
Chemistry
|
The compound \( Y \) is:
\( \mathbf{A} \cdot C_{6} H_{4} C l_{2} \)
\( \mathbf{B} \cdot C_{6} H_{3} C l_{3} \)
\( \mathbf{c} \cdot C_{6} H_{5}-C_{6} H_{5} \)
\( \mathrm{D} \cdot C_{6} H_{5}-C_{2} H_{5} \)
| 1 |
Chemistry
|
\( A B C \) is a right-angled triangle and 0 is
the mid point of the side opposite to the right angle. Explain why 0 is equidistant from \( A, B \) and \( C \) (The dotted lines are drawn additionally to help you)
| 2 |
Maths
|
Tincture of iodine is -
A . aqueous solution of \( I_{2} \)
B. solution of \( I_{2} \) in aqueous \( \mathrm{KI} \)
C . alcoholic solution of \( I_{2} \)
D. aqueous solution of \( K I \) I.
| 1 |
Chemistry
|
The focal length of a spherical mirror is its radius of curvature.
A . half
B. twice
c. thrice
D. equal to
| 3 |
Physics
|
The energy releasing process in which
the substrate is oxidized without an
external electron acceptor is called as
A. Aerobic respiration
B. Glycolysis
c. Fermentation
D. Photorespiration
| 0 |
Biology
|
Name a chemical which removes \( C O_{2} \)
from the air.
| 0 |
Biology
|
An ideal gas is enclosed in a container of volume \( V \) at a pressure \( P . \) It is being
pumped out of the container by using a pump with stroke volume \( v \). What is
final pressure in container after \( n- \)
strokes of the pump? (assume
temperature remains same).
\( ^{\mathbf{A}} \cdot P\left(\frac{V}{V+v}\right)^{n} \)
B. \( \frac{P V}{(V-v)^{n}} \)
c. \( P \frac{V^{n}}{v^{n}} \)
\( P\left(\frac{V}{V-v}\right)^{n} \)
| 3 |
Physics
|
The molar conductivities of \( K C l, N a C l \)
and \( K N O_{3} \) are 152,128 and
\( 111 S c m^{2} m o l^{-1} \) respectively. What is
the molar conductivity of \( N a N O_{3} ? \)
\( \mathbf{A} \cdot 101 S \mathrm{cm}^{2} \mathrm{mol}^{-1} \)
B. \( 87 S \mathrm{cm}^{2} \mathrm{mol}^{-1} \)
c. \( -101 S \mathrm{cm}^{2} \mathrm{mol}^{-1} \)
D. \( -391 S \mathrm{cm}^{2} \mathrm{mol}^{-} \)
| 1 |
Chemistry
|
\( P \) is a point on the ellipse having (3,4) and (3,-2) as the ends of minor axis. If the sum of the focal distances of \( \boldsymbol{P} \) be
equal to 10 then its equation is
A \( \cdot \frac{(x-3)^{2}}{36}+\frac{(y-1)^{2}}{12}=1 \)
в. \( \frac{(x-3)^{2}}{36}+\frac{(y-1)^{2}}{25}=1 \)
c. \( \frac{(x-3)^{2}}{25}+\frac{(y-1)^{2}}{9}=1 \)
D. \( \frac{(x-3)^{2}}{16}+\frac{(y-1)^{2}}{7}=1 \)
| 2 |
Maths
|
Prove that \( \tan (x-y)=\frac{\tan x-\tan y}{1+\tan x \tan y} \)
| 2 |
Maths
|
Find the average of first 20 multiples of
7
| 2 |
Maths
|
One side of a parallelogram is \( \frac{3}{4} \) times its adjacent side. If the perimeter of the parallelogram is \( 70 \mathrm{cm}, \) find the sides of the parallelogram.
| 2 |
Maths
|
The above laboratory setup can be used
to prepare:
A. gas lighter than air and soluble in water
B. gas heavier than air and soluble in water
c. gas soluble in water that reacts with water
D. gas insoluble in water
E. gas that reacts with water
| 1 |
Chemistry
|
What is an example of a single replacement reaction?
A. \( A+X \rightarrow A X \)
в. \( A X \rightarrow A+X \)
c. \( A+B X \rightarrow A X+B \)
D. \( A X+B Y \rightarrow A Y+B X \)
E . \( A+X \rightarrow B+Y \)
| 1 |
Chemistry
|
The unit of resistivity of the material is
A . \( \Omega \)
в. \( \Omega m \)
\( c . \Omega / m \)
D. \( m / \Omega \)
| 3 |
Physics
|
lonization constant \( \left(K_{a}\right) \) for three weak
monobasic acids \( H A, H B \) and \( H D \) are
\( 10^{-3}, 10^{-7} \) and \( 10^{-9}, \) respectively at
\( 25^{\circ} \mathrm{C} . \) Which of the following is correct
prediction?
\( \mathbf{A} \cdot(p H)_{N a A}>(p H)_{N a B} \)
B. \( (p H)_{N a A}<(p H)_{N a B} \)
\( \mathbf{c} \cdot(p H)_{N a A}>(p H)_{N a D} \)
D. \( (p H)_{N a B}=7 \)
| 1 |
Chemistry
|
\( \lim _{x \rightarrow \frac{\pi}{2}}(1+3 \cos x)^{\sec x}= \)
A \( \cdot e^{2} \)
B \( \cdot e^{3} \)
\( c \cdot e^{-2} \)
D. \( e^{-3} \)
| 2 |
Maths
|
Study the following lists
\begin{tabular}{l|l|l}
List I & List II \\
A) & Early seed production in conifers & I) & Indole substance \\
\hline B) & Seed development and maturation & II) & Terpene substance \\
C) & Lateral shoot growth & III) & Volatile substance \\
D) & Root hair formation & IV) & Adenine derivative \\
\hline
\end{tabular}
\( \mathbf{A} \)
\( A-\| I, B-I, C-V, D-I \)
B. \( A-11, B-V, C-I V, D-1 \)
C. \( A-11, B-1, C-V, D-I V \)
D. \( A-I V, B-11 I, C-11, D- \)
| 0 |
Biology
|
Phosphoric acid is formed when phosphorus pentoxide reacts with:
A. oxygen
B. carbon dioxide
c. alcohol
D. water
| 1 |
Chemistry
|
\( \int\left(1+x-x^{-1}\right) e^{x+x^{-1}} d x \) is equal to
A \( \cdot(x+1) e^{x+x^{-1}}+C \)
B . \( (x-1) e^{x+x^{-1}}+C \)
c. \( x e^{x+x^{-1}}+C \)
D. \( x e^{x+x^{-1}} x+C \)
| 2 |
Maths
|
Explain Kolbe-Schmitt reaction and Fries-rearrangement reaction.
| 1 |
Chemistry
|
Find the altitude of a parallelopiped determined by \( \vec{a}, \vec{b}, \vec{c} \) if yhe base \( \vec{a}, \& \vec{b} \) and if \( \vec{a}=\hat{i}+\hat{j}+\hat{k} ; \vec{b}=2 \hat{i}+4 \hat{j}- \)
\( \hat{\boldsymbol{k}} \& \overrightarrow{\boldsymbol{c}}=\hat{\boldsymbol{i}}+\hat{\boldsymbol{j}}+\mathbf{3} \hat{\boldsymbol{k}} \)
| 2 |
Maths
|
The principle involved in potentiometer
is
A. variation of current with variati wire on in the diameter of the potentiometer
B. similar to the principle of Wheatstone bridge
C. variation of resistance with temperature
D. both (a) and (b)
| 3 |
Physics
|
Total number of \( S_{N} 1 \) products formed during given reaction will be:
| 1 |
Chemistry
|
Explain using circuit diagram the working of \( n \) -p-n transistor as \( \mathrm{CE} \) amplifier. Hence obtain expression for
its voltage gain in common emitter configuration.
| 3 |
Physics
|
Which of the processes is being shown
in the figure?
A. Electrodialysis
B. Dialysis
c. Electroosmosis
D. Electrophoresis
| 1 |
Chemistry
|
If \( \boldsymbol{f}: \boldsymbol{A} \rightarrow \boldsymbol{A}, \) then range of \( \boldsymbol{f} \) where
\( \boldsymbol{A}=\{1,2,3,4\} \) and \( \boldsymbol{f}(\boldsymbol{x})=\boldsymbol{x}^{2}+\boldsymbol{x}+\boldsymbol{2} \)
| 2 |
Maths
|
\[
\begin{aligned}
\operatorname{Let} A &=\left\{\theta: 2 \cos ^{2} \theta+\sin \theta \leq 2\right\} \text { and } \\
B &=\{\theta: \pi / 2 \leq \theta \leq 3 \pi / 2\} . \text { Then }
\end{aligned}
\]
find the value of \( \boldsymbol{A} \cap \boldsymbol{B} \)
| 2 |
Maths
|
The roots of the equation \( \left|\begin{array}{ccc}\boldsymbol{x}-\mathbf{1} & \mathbf{1} & \mathbf{1} \\ \mathbf{1} & \boldsymbol{x}-\mathbf{1} & \mathbf{1} \\ \mathbf{1} & \mathbf{1} & \boldsymbol{x}-\mathbf{1}\end{array}\right|=\mathbf{0} \operatorname{are} \)
A. 1,2
в. -1,2
c. -1,-2
D. 1,-2
| 2 |
Maths
|
The energy diagram of a reaction \( \boldsymbol{P}+ \)
\( Q \rightarrow R+S \) is given.What are \( A \) and \( B \)
in the graph?
A. \( A \rightarrow \) activation energy, \( B \rightarrow \) heat of reaction
B. \( A \rightarrow \) threshold energy, \( B \rightarrow \) heat of reaction
C. \( A \rightarrow \) heat of energy, \( B \rightarrow \) activation reaction
D. \( A \rightarrow \) potential energy, \( B \rightarrow \) energy of reaction
| 1 |
Chemistry
|
There are 4 horizontal and 6 vertical
equispaced lines as shown.lf a
rectangle is randomly selected then
probability that is a square is
\( ^{A} \cdot \frac{7}{45} \)
в. \( \frac{13}{45} \)
c. \( \frac{11}{18} \)
\( D \)
| 2 |
Maths
|
Two particles of masses \( 4 k g \) and \( 6 k g \)
are at rest separated by 20 m. If they
move towards each other under mutual
force of attraction, the position of the point where they meet is
\( \mathbf{A} \cdot 12 m \) from \( 4 k g \) body
B. \( 12 \mathrm{m} \) from \( 6 \mathrm{kg} \) body
c. \( 8 m \) from 4 kg body
D. \( 10 m \) from \( 4 k g \) body
| 3 |
Physics
|
A kite is flying with the string inclined
at \( 45^{\circ} \) to the horizontal If the string is
straight and \( 50 \mathrm{m} \) long the height at which the kite is flying is
A \( .25 \sqrt{2} m \)
в. \( 50 \sqrt{2} \mathrm{m} \)
c. \( 25 \mathrm{m} \)
D. 50 \( m \)
| 2 |
Maths
|
Assertion
In froth floatation method, collectors
such as pine oil xanthates are added to
the suspension of powdered ore.
Reason
Collectors stabilizes the froth.
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
|
Fill in the blank.
The time taken by oscillation to
complete is called time period.
A. one
B. Two
c. Three
D. Four
| 3 |
Physics
|
In the reaction, \( \boldsymbol{C}(\boldsymbol{s})+\boldsymbol{C O}_{2}(\boldsymbol{g}) \rightleftharpoons \)
\( 2 C O(g), \) the equilibrium pressure is 12
atm. If \( 50 \% \) of \( C O_{2} \) reacts, \( K_{p} \)
is
| 1 |
Chemistry
|
\( \int \frac{x \sin ^{-1} x}{\sqrt{1-x^{2}}} d x \) is equal to
A. \( x-\sqrt{1-x^{2}} \sin ^{-1} x+c \)
B. \( x+\sqrt{1-x^{2}} \sin ^{-1} x+c \)
c. \( x+\sin ^{-1} x+c \)
D. \( x-\sin ^{-1} x+c \)
| 2 |
Maths
|
What happens to the following after
fertilization?
Petals
| 0 |
Biology
|
The horizontal component of the weight of a body of mass \( m \) is
A . \( m g \)
B. \( \frac{\mathrm{mg}}{2} \)
c. 0
D. Infinity
| 3 |
Physics
|
Arrange in the order of nucleophilicity:
\( \boldsymbol{H O}^{-}, \boldsymbol{C H}_{3} \boldsymbol{O}^{-}, \boldsymbol{C H}_{3} \equiv \)
\( \boldsymbol{C}^{-}, \boldsymbol{C} \boldsymbol{H}_{3} \boldsymbol{C O O}^{-} \)
A. \( H O^{-}>C H_{3} O^{-}>C H_{3} \equiv C^{-}>C H_{3} C O O \)
в. \( C H_{3} C O O^{-}>H O^{-}>C H_{3} O^{-}>C H_{3} \equiv C^{-} \)
C. \( H O^{-}<C H_{3} O^{-}<C H_{3} \equiv C^{-}<C H_{3} C O O^{-} \)
D. \( C H_{3} C O O^{-}<H O^{-}<C H_{3} O^{-}<C H_{3} \equiv C^{-} \)
| 1 |
Chemistry
|
To draw water from a well, we have to
(push, pull) the rope.
| 3 |
Physics
|
A quadratic polynomial has at the most zero(es).
A . zero
B. one
c. three
D. two
| 2 |
Maths
|
Fill in the blanks by putting appropriate choices.During adsorption there is \( _{-}- \) -in enthalpy and in the
entropy of a system but adsorption is a
spontaneous process and thus AG must be \( \quad \) Rate of
physisorption with increase in
pressure.
A. decrease, decrease, negative, increases
B. increase, increase, positive, decreases
c. decrease, increase, negative, decreases
D. increase, decrease, positive, increases
| 1 |
Chemistry
|
An article is marked at Rs. \( 500 . \) The
wholesaler sells it to a retailer at \( 20 \% \)
discount and charges sales-tax on the remaining price at 12.5\%. The retailer, in turn, sells the article to a customer at
its marked price and charges sales-tax at the same rate. Calculate:
(i) the price paid by the customer
(ii) the amount of VAT paid by the retailer.
A . (i) Rs. 662.50
(ii) Rs. 11.50
B . (i) Rs. 562.50
(ii) Rs. 12.50
c. (i) Rs. 472.50
(ii) Rs. 13.50
D. (i) Rs. 410.50
(ii) Rs. 14.50
| 2 |
Maths
|
A sum of Rs.3.75 was paid in 25 paisa,
10 paisa and 5 paisa coins.The number
of 10 paisa coins was four times the number of 25 paisa coins and twice of
the number of 5 paisa coins.How many were there of each type?
| 2 |
Maths
|
Use remainder theorem to find
remainder when \( p(x) \) is divided by \( q(x) \) in the following questions: \( p(x)=x^{4}+ \)
\( \boldsymbol{x}^{3}+\boldsymbol{x}^{2}-\mathbf{5} \boldsymbol{x}+\mathbf{1}, \boldsymbol{q}(\boldsymbol{x})=\boldsymbol{x}+\mathbf{1} \)
| 2 |
Maths
|
If \( z \) is internuclear axis, then which type of overlapping is/are not possible? This question has multiple correct options
A \( . \) sand \( p_{x} \)
B. \( s \) and \( p_{y} \)
\( \mathbf{c} \cdot p_{x}+p_{z} \)
D. \( p_{y}+p_{z} \)
| 1 |
Chemistry
|
Energy gap between valence band and conduction band of a semiconductor is
A. Zero
B. Infinite
\( c \cdot 1 e V \)
D. 10 eV
| 3 |
Physics
|
How many photons per second enter one
eye if you look directly at a 100 W light bulb \( 2.00 \mathrm{m} \) away? Assume a pupil diameter of \( 4.00 \mathrm{mm} \) and a wavelength of 600 nm. How many photons per
second enter your eye if a \( 1.00 \mathrm{m} \) W laser beam is directed into your eye? \( \lambda= \)
\( 633 n m) \)
| 3 |
Physics
|
A heater coil is cut into two equal parts
and only one part is now used in the heater. The heat generated will now be:
A. doubled.
B. four times
c. one-fourth
D. halved
| 3 |
Physics
|
The electrical resistance in ohms of a
certain thermometer varies with
temperature according to the approximate law:
\( \boldsymbol{R}=\boldsymbol{R}_{\boldsymbol{o}}\left[\mathbf{1}+\boldsymbol{\alpha}\left(\boldsymbol{T}-\boldsymbol{T}_{\boldsymbol{o}}\right)\right] \)
The resistance is \( 101.6 \Omega \) at the triple-
point of water \( 273.16 \mathrm{K}, \) and \( 165.5 \Omega \) at the normal melting point of lead (600.5
K). What is the temperature when the resistance is \( 123.4 \Omega ? \)
| 3 |
Physics
|
Find the inverse of \( \boldsymbol{A}= \)
\( \left[\begin{array}{ccc}\cos \alpha & -\sin \alpha & 0 \\ \sin \alpha & \cos \alpha & 0 \\ 0 & 0 & 1\end{array}\right] \) using elementary
transformation.
| 2 |
Maths
|
\( \int\left(\tan ^{10} x+\tan ^{12} x\right) d x= \)
A. \( \frac{\tan ^{9} x}{9}+c \)
B. \( \frac{\tan ^{13} x}{13}+c \)
c. \( \frac{\tan ^{11} x}{11}+c \)
D. \( \frac{\tan ^{8} x}{8}+c \)
| 2 |
Maths
|
The velocity-time graph of a particle moving in a straight line is shown in
figure. The acceleration of the particle
at \( t=9 \) s is
A. zero
B \( \cdot 5 m / s^{2} \)
\( \mathrm{c} \cdot-5 m / s^{2} \)
D. \( -2 m / s^{2} \)
| 3 |
Physics
|
n figure, show that \( 2(A C+B D)>A B+B C \)
\( +\mathrm{CD}+\mathrm{DA} \)
| 2 |
Maths
|
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