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Find the area of the triangle below
A . 20
в. 30
\( c .35 \)
D. 40
| 2 |
Maths
|
The \( C-H \) bond in propane is:
A \( \cdot \sigma s p-s \)
B \( \cdot \operatorname{csp}^{2}-s \)
c. \( \sigma p-s \)
D. \( \sigma s p^{3}-s \)
| 1 |
Chemistry
|
What happens to the following after
fertilization?
Calyx
| 0 |
Biology
|
If \( \boldsymbol{n}=\mathbf{1} \mathbf{2} \boldsymbol{m}(\boldsymbol{m} \in \boldsymbol{N}),^{n} \boldsymbol{C}_{0}- \)
\( \frac{\boldsymbol{n} \boldsymbol{C}_{2}}{(\mathbf{2}+\sqrt{\mathbf{3}})^{2}}+\frac{\boldsymbol{n}_{\mathbf{4}}}{(\mathbf{2}+\sqrt{\mathbf{3}})^{4}}- \)
\( \frac{n \boldsymbol{C}_{\mathbf{6}}}{(\mathbf{2}+\sqrt{\mathbf{3}})^{6}}+\dots=(-\mathbf{1})^{\boldsymbol{m}}\left(\frac{\sqrt{\boldsymbol{p}}}{\mathbf{1}+\sqrt{\boldsymbol{Q}}}\right)^{n} \)
then \( \boldsymbol{P}-\boldsymbol{Q} \) is:
| 2 |
Maths
|
The 0 - 0 bond length in ozone is
A . \( 1.54 \mathrm{A}^{\circ} \)
B . \( 1.27 \mathrm{A}^{\circ} \)
c. \( 1.34 \mathrm{A}^{\circ} \)
D. \( 1.10 \mathrm{A}^{\circ} \)
| 1 |
Chemistry
|
The chief source of aromatic
compounds is :
A . Fruits
B. Oil of winter green
c. Petroleum
D. Ants
| 1 |
Chemistry
|
A square plate \( A B C D \) of mass \( m \) and
side \( l \) is suspended with the help of two
ideal strings \( P \) and \( Q \) as shown
determine the acceleration \( \left(\text { in } m / s^{2}\right) \) of
corner \( A \) of the square just at the
moment the string \( Q \) is cut \( (g= \)
\( \left.10 m / s^{2}\right) \)
| 3 |
Physics
|
Find the freezing point of a solution containing 0.5 mole of glucose dissolved in 200 g of \( H_{2} \) O? (Given that \( \boldsymbol{K}_{f} \) for water is \( 1.86 \quad \boldsymbol{K} \boldsymbol{m}^{-1} \)
A . -4.65
B . -2.65
c. -14.65
D. -8.65
| 1 |
Chemistry
|
A ball is dropped from a cliff. Find
(a) its speed \( 2 s \) after it is dropped
(b) its speed when it has fallen through \( 78.4 m, \) and
(c) the time taken in falling through
\( \mathbf{7 8 . 4 m} \)
| 3 |
Physics
|
As compared to concrete, steel has compressive strength:
A. 25 times less
B. equal
c. 25 times more
D. 5 times more
| 3 |
Physics
|
\( H_{2} O_{2} \) is formed by which of the following compound?
A \( \cdot N a_{2} O_{2} \)
в. \( N a O H \)
c. \( N a_{2} \) Q
D. \( K O_{2} \)
| 1 |
Chemistry
|
Draw a right triangle \( A B C \) in which \( B C=12 \mathrm{cm}, A B=5 \mathrm{cm} \) and \( \angle B= \)
\( 90^{0} . \) Construct a triangle similar to it and of scale factor \( \frac{2}{3} . \) Is the new triangle also a right triangle?
A. Yes
B. No
c. can't say
D. Data insufficient
| 2 |
Maths
|
In the structure of \( \boldsymbol{H}_{2} \boldsymbol{C S} \boldsymbol{F}_{4}, \) which of
the following statement(s) is/are
correct?
This question has multiple correct options
A. Two \( C-H \) bonds are in the same plane of axial \( S-F \) bonds
B. Two \( C-H \) bonds are in the same plane of equitoria \( S-F \) bonds.
c. Total six atoms are in the same plane.
D. Equitorial \( S-F \) plane is perpendicular to nodal plane
of \( \pi- \) bond
| 1 |
Chemistry
|
Eutrophication results in the reduction
of
A. Dissolved hydrogen
B. Dissolved oxygen
c. Mineral salts
D. None of the above
| 0 |
Biology
|
The last or terminal cytochrome in respiratory chain is
A. cyt b
B. Cyt \( a_{3} \)
c. cyt a
D. cytc
| 0 |
Biology
|
Column I contains some terms and
column II contains their meanings.
Match the properly and choose the right
answer.
Colum Column II
1. Conversion of glycogen to
A. Glycogenesis
2. Conversion of glucose to
B. Glycosuria \( \quad \) glycogen
C. \( \quad \) 3. Excretion of glucose in urine Glyconeogenesis
4. Conversion of non-
D. \( \quad \) carbohydrate sources to Glycogenolysis
5. Conversion of glucose to starch
\( A \cdot A-1, B-2, C-3, D-4 \)
B. A-2, B-3, C-4, D-1
C \( . \) A- \( 2, \) B-1, C-3, D-4
D. \( A-1, B-5, C-2, D-4 \)
| 0 |
Biology
|
A neutral organic compound A has
formula \( C_{9} H_{16} O_{3} \) and rotates plane
polarized light. A on acid hydrolysis
produces \( \mathrm{B} \) and \( C\left(C_{3} H_{8} O\right) . \) C on partial
oxidation with PCC gives \( D\left(C_{3} H_{6} O\right) \) which does not give iodoform test. D on treatment with dilute solution of
\( N a O H \operatorname{gives} E\left(C_{6} H_{12} O_{2}\right) \) which is
diastereomeric. E on treatment with the
acidic solution of \( K M n O_{4} \) produces \( B \)
Deduce structures of A to E.
| 1 |
Chemistry
|
Internal energy of \( n_{1} \) moles of hydrogen at temperature \( T \) is equal to the internal
energy of \( n_{2} \) moles of helium at
temperature 2T. Then the ratio \( n_{1} / n_{2} \) is:
A
B. \( \frac{2}{3} \)
\( c \cdot \frac{6}{5} \)
D. \( \frac{3}{7} \)
| 1 |
Chemistry
|
Find the multiplicative inverse of the complex number \( \sqrt{5}+3 i \)
| 2 |
Maths
|
Give reason
It is different to demonstrate
respiration in plants.
| 0 |
Biology
|
\( 3 \mathrm{mL}, \) of ethanol is taken in a test tube
and warmed gently in a water bath. A \( 5 \% \) solution of alkaline potassium
permanganate is added first drop by drop to this solution, then in excess.
Write chemical equation of this
reaction.
| 1 |
Chemistry
|
If the object is not grounded while performing electrostatic induction, the nearby charge will
A. induce equal and opposite charges in the object.
B. induce equal charges in the object.
c. induce opposite charges in the object
D. None of the above
| 3 |
Physics
|
In a fuel cell the fuel is fed to which
compartment?
A. Anode compartment
B. Cathode compartment
c. Both the compartments
D. None of the above
| 1 |
Chemistry
|
Three forces \( A, B \) and \( C \) acting at a point are in equilibrium. The ratio of angles between \( A \) and \( B ; B \) and \( C ; \) and
\( A \) and \( C \) is \( 1: 2: 3 . \) Then, \( A: B: C \) is
A. \( 1: \frac{\sqrt{3}}{2}: \frac{1}{2} \)
B. \( \frac{1}{2}: \frac{\sqrt{3}}{2}: 1 \)
c. \( _{1: \frac{1}{2}: \frac{1}{3}} \)
D. \( 1: \frac{1}{\sqrt{2}}: \frac{1}{\sqrt{3}} \)
E. None of these
| 3 |
Physics
|
Excess of KI reacts with \( C u S O_{4} \)
solution and then \( N a_{2} S_{2} O_{3} \) solution is
added to it. Which of the statement is
incorrect for this reaction?
A \( \cdot C u_{2} I_{2} \) is formed
B. \( C u I_{2} \) is formed
c. \( N a_{2} S_{2} O_{3} \) is oxidised
D. Evolved \( I_{2} \) is reduced
| 1 |
Chemistry
|
The relative formula mass, \( M_{r}, \) of
calcium carbonate, \( C a C O_{3}, \) is 100
What is the mass of carbon present in \( 100 g \) of calcium carbonate?
A \( .12 g \)
B. \( 36 g \)
c. \( 40 g \)
D. \( 60 g \)
| 1 |
Chemistry
|
Find the radius of the wire of length
\( 25 m \) needed to prepare a coil of
resistence \( 25 \Omega \) (Resistivity of material of wire is \( \left.3.142 \times 10^{-7} \Omega m\right) \)
| 3 |
Physics
|
Find the maximum value of current
when inductance of two henry is connected to \( 150 V, 50 \) cycle supply
\( ^{\mathrm{A}} \cdot \frac{3}{2 \sqrt{2} A} \)
B. \( \frac{5}{2 \sqrt{2} A} \)
c. \( \frac{6}{2 \sqrt{2} A} \)
D. \( \frac{7}{2 \sqrt{2} A} \)
| 3 |
Physics
|
The diameter of the moon is about 3500
km. What will be the diameter of the
image formed by a concave mirror of radius 3 m? Assume that the distance
of the moon is about \( 3 \cdot 5 \times 105 k m \)
\( A \cdot 5 \mathrm{mm} \)
B. 10 \( \mathrm{mm} \)
\( c \cdot 15 \mathrm{mm} \)
D. 20 mm
| 3 |
Physics
|
The sum of an integer and its additive inverse is always
A .
B. - -
c. 0
\( D \)
| 2 |
Maths
|
Where will the hand of a clock stop if it:
Start at 4 and makes \( \frac{3}{4} \) of a revolution, clockwise?
| 2 |
Maths
|
A ball is tossed in the air in such a way
that the path of the ball is modeled by
the equation \( y=-x^{2}+6 x \) where \( y \)
represents the height of the ball in feet
and \( x \) is the time in seconds. At what
time \( x \) will the ball reach the ground
again?
\( \mathbf{A} \cdot \mathbf{6} \)
B. 2
\( c \cdot 3 \)
D. 4
E .
| 2 |
Maths
|
The angular speed of the electron in the
\( \boldsymbol{n}^{t h} \) Bohr orbit of the hydrogen at om is
proportional to
\( A \cdot n \)
B \( \cdot n^{3} \)
c. \( \frac{1}{n} \)
D. \( \frac{1}{n^{3}} \)
| 3 |
Physics
|
Three groups \( A, B, C \) are contesting for positions on the Board of Directors of a company. The probabilities of their
winning are 0.5,0.3,0.2 respectively. If
the group \( A \) wins, the probability of
introducing a new product is 0.7 and the corresponding probabilities for groups \( B \) and \( C \) are 0.6 and 0.5
respectively. The probability that the new product will be introduced is given
by
A . 0.36
в. 0.35
c. 0.63
D. 0.53
| 2 |
Maths
|
Statement: Chloramphenicol is board spectrum antibiotic.
State whether the given statement is true or false.
A. True
B. False
| 1 |
Chemistry
|
Two identical containers each of volume \( V \)
0 are joined by a small pipe. The containers contain identical gases at
temperature \( T_{0} \) and pressure \( P_{0} . \) One
container is heated to temperature \( 2 \mathrm{T}_{0} \)
while maintaining the other at the
same temperature. The common pressure of the gas is \( \mathrm{P} \) and \( \mathrm{n} \) is the number of moles of gas in container at
temperature \( 2 T_{0} \)
\( \mathbf{A} \cdot P=2 P_{0} \)
в. \( \quad P=\frac{4}{3} P_{0} \)
c. \( _{n}=\frac{2 P_{0} V_{0}}{3 R T_{0}} \)
D. \( n=\frac{3 P_{0} V_{0}}{2 R T_{0}} \)
| 3 |
Physics
|
For the reaction, \( \boldsymbol{H}_{2}(\boldsymbol{g})+\boldsymbol{I}_{2}(\boldsymbol{g}) \rightleftharpoons \)
\( 2 H I(g), \) the equilibrium constant \( K_{p} \)
changes with:
A. total pressure
B. catalyst
C. the amounts of \( H_{2} \) and \( I_{2} \) present
D. temperature
| 1 |
Chemistry
|
Consider the motion of a positive point charge in a region where there are simultaneous uniform electric and
magnetic fields \( \mathrm{E}=\mathrm{EO} \mathrm{j} \) and \( \mathrm{B}=\mathrm{BO} \mathrm{j}, \mathrm{At} \)
time \( t=0, \) this charge has velocity \( v \) in the \( x \) -y plane, making an angle 0 with the \( x \) -axis. Which of the following option(s) is(are) correct for time \( t>0 ? \)
| 3 |
Physics
|
Which of the following hydrogen bonds are strongest in vapour phase?
A. HF \( \ldots \). HF. HF
B. HF ................ HCl
c. нс।................ нс।
D. HF ................ H
| 1 |
Chemistry
|
Which of the following constitute
sodium chloride crystal?
A. Sodium and chlorine atoms
B. \( N a C l \) molecules
c. Sodium ions and chloride ions
D. Sodium atoms and chlorine molecules
| 1 |
Chemistry
|
Divide \( (24 x-42) \) by \( (4 x-7) \)
A \( .4 x-7 \)
B. 3
\( c \cdot 6 \)
D. 7
| 2 |
Maths
|
Arrange the following stages of the human evolution in the order of their
increasing cranial capacity?
a) Neanderthal man
b) Cro-magnon
man
c) Homo erectus
d) Homo habilis
| 0 |
Biology
|
The bond order depends on the number of electrons in the bonding and non bonding orbitals. Which of the following statements is /are correct about bond
order?
A. Bond order cannot have a negative value.
B. It always has an integral value
c. It is a nonzero quantity.
D. It can assume any value-positive or negative, integral or fractional, including zero.
| 1 |
Chemistry
|
A block of mass \( 10 \mathrm{kg} \) is pulled by a constant horizontal force of \( 19 \mathrm{N} \) and it
is displaced by \( 15 \mathrm{m} \) across the floor. Calculate the work done.
A . 1.3
в. 30 J
c. 285 J
D. 5586 J
E. 1
| 3 |
Physics
|
The colour of \( C r O_{4}^{2-} \) is due to:
A. charge tranfer.
B. d-d transition.
c. it does not shows colour.
D. none of the above
| 1 |
Chemistry
|
Do plant need oxygen? If so, what is its
source?
| 0 |
Biology
|
150 spherical marbles, each of diameter \( 1.4 \mathrm{cm}, \) are dropped in a
cylindrical vessel of diameter \( 7 \mathrm{cm} \)
containing some water, which are completely immersed in water. Find the rise in the level of water in the vessel
| 2 |
Maths
|
On a Fahrenheit scale:
A. boiling point of water is \( 212^{\circ} F \)
B. the temperature will be equal to that on the Celsius
scale \( a t-40^{\circ} C \)
C. the difference between the upper fixed point and the lower fixed point is divided into 180 equal parts
D. all the above
| 3 |
Physics
|
Solve the differential equation \( \frac{d y}{d x}+ \)
\( \boldsymbol{y}=\boldsymbol{e}^{-\boldsymbol{x}} \)
| 2 |
Maths
|
Assertion
Hybridization of \( \left[\boldsymbol{A u C l}_{4}\right]^{\Theta} \) is \( \boldsymbol{s p}^{3} \)
Reason
Hybridization of Au in above complex
compound does not depend upon nature
of ligand.
A. Statement-1 is true, statement-2 is true and statement-2 is correct explanation for statement-1.
B. Statement-1 is true, statement-2 is true and statement-2 is NOT the correct explanation for statement-1
C. Statement-1 is true, statement-2 is false.
D. Statement-1 is false, statement-2 is true.
| 1 |
Chemistry
|
When the electric current is passed
through a cell having an electrolyte, the positive ions move towards cathode and negative ions towards the anode. If the cathode is pulled out of the solution
then
A. the positive and negative ions will be move towards anode
B. the positive ions will start moving towards the anode and while negative ions will stop moving
c. the negative ions will continue to move towards and while positive ions will stop moving
D. the positive and negative ions will start moving random
| 1 |
Chemistry
|
Inorganic cofactor is often called
A. Coenzyme
B. Prosthetic group
c. Modulator
D. Activator
| 0 |
Biology
|
Assertion
Paramagnetic substances get poorly attracted in magnetic field.
Reason
Because magnetic dipoles are aligned along external magnetic field weakly.
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
|
Evaluate: \( \int_{0}^{\pi / 2} \frac{\sin ^{2} x}{\sin x+\cos x} d x \)
| 2 |
Maths
|
In benzene, each carbon atom
undergoes:
A. sp hybridization
B . \( s p^{2} \) hybridization
c. \( s p^{3} \) hybridization
D. \( d s p^{2} \) hybridization
| 1 |
Chemistry
|
If an A.P is given by \( 17,14, \ldots \ldots-40 \)
then 6 th term from the end is
A \( .-22 \)
B. -28
c. -25
D. 26
| 2 |
Maths
|
Assertion
When current through a bulb decreases by \( 0.5 \%, \) the glow of bulb decreases by
\( 1 \% \)
Reason
Glow (Power) which is directly proportional to square of current.
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
|
Consider a sample of helium and a
sample of neon, both \( a t 30^{0} C \) and
1.5 atm. Both samples have a volume of
5.0 \( L \). Which statement concerning these samples is not true?
A. Each sample contains the same number of atoms of gas
B. Each sample weighs the same amount
c. Each sample contains the same number of moles of gas
D. The density of the neon is greater than the density of the helium
| 1 |
Chemistry
|
Teflon is an example of polymer which is a/an
A. polyamide
B. addition Ploymer
c. polyster
D. formaldehyderesin
| 1 |
Chemistry
|
On adding \( 0.1 M \) solution each of
\( \left[\boldsymbol{A} \boldsymbol{g}^{+}\right],\left[\boldsymbol{B} \boldsymbol{a}^{2+}\right],\left[\boldsymbol{C} \boldsymbol{a}^{2+}\right] \) in \( \boldsymbol{N} \boldsymbol{a}_{2} \boldsymbol{S} \boldsymbol{O}_{4} \)
solution, species first precipitated is:
\( \left[\boldsymbol{K}_{s p}\left(\boldsymbol{B} \boldsymbol{a} \boldsymbol{S} \boldsymbol{O}_{4}\right)=\mathbf{1 0}^{-11}, \boldsymbol{K}_{s p}\left(\boldsymbol{C a} \boldsymbol{S O}_{4}\right)=\right. \)
A \( \cdot A g_{2} S O_{4} \)
в. Ва а S О\( _{4} \)
\( c \cdot \operatorname{cas} O_{4} \)
D. All of these
| 1 |
Chemistry
|
The value of \( \int_{0}^{\infty} \frac{d x}{\left(x^{2}+4\right)\left(x^{2}+9\right)} \) is
A \( \cdot \frac{\pi}{60} \)
в. \( \frac{\pi}{20} \)
c. \( \frac{\pi}{40} \)
D. \( \frac{\pi}{80} \)
| 2 |
Maths
|
The volume(V) of a monatomic gas
varies with its temperature (T), as
shown in the graph. The ratio of work
done by the gas, to the heat absorbed by
it, when it undergoes a change from
state \( A \) to state \( B \), is?
A \( \cdot \frac{1}{3} \)
B. 2 \( \overline{5} \)
\( c \cdot 2 \)
7
D. 2
3
| 3 |
Physics
|
The law that describes the force as
directly proportional to magnitude of charges and inversely proportional to the distance between the charges is
known as:
A. Newton's law
B. Coulomb's law
c. Gauss's law
D. Ohm's law
| 3 |
Physics
|
Wurtz reaction of methyl iodide yields an organic compound \( X . \) Which one of
the following reactions also yields \( X ? \)
A \( \cdot C_{2} H_{5} C l+M g \stackrel{\text { Dry ether }}{\longrightarrow} \)
B . \( C_{2} H_{5} C l+L i A l H_{4} \rightarrow \)
c. \( C_{2} H_{5} C l+C_{2} H_{5} O N a \rightarrow \)
D. \( C H C l_{3} \frac{A g \text { powder }}{\wedge} \)
| 1 |
Chemistry
|
Which among the following is a traquilizer?
A. Aspirin
B. Valium
c. Pencillin
D. Sulphanilamide
| 1 |
Chemistry
|
If \( \vec{a}, \vec{b} \) and \( \vec{c} \) are three non-zero vectors such that \( \vec{a} \cdot \vec{b}=\vec{a} \cdot \vec{c}, \) then
\( A \cdot \vec{b}=\vec{c} \)
В . \( \vec{a} \perp \vec{b}, \vec{c} \)
c. \( \vec{a} \perp \vec{b}-\vec{c} \)
D. either \( \vec{a} \perp(\vec{b}-\vec{c}) \) or \( \vec{b}=\vec{c} \)
| 2 |
Maths
|
If \( \boldsymbol{f}(\boldsymbol{x})=\left\{\begin{array}{cl}\frac{\sin \{\cos \boldsymbol{x}\}}{\boldsymbol{x}-\frac{\pi}{2}}, & \boldsymbol{x} \neq \frac{\boldsymbol{\pi}}{2} \\ \mathbf{1}, & \boldsymbol{x}=\frac{\boldsymbol{\pi}}{2}\end{array}\right. \)
(.) represents the fractional part function,
then \( \lim _{x \rightarrow \pi / 2} f(x) \) is?
\( A \)
B.
c. Does not exist
D.
| 2 |
Maths
|
Write the complete chemical reaction of rusting of iron.
| 1 |
Chemistry
|
Pollution of lakes and rivers affects
aquatic life. Fish cannot live in water
that has oxygen less than 4 milligrams per liter. Other freshwater aquatic life (including anaerobic bacteria) also cannot survive without adequate oxygen.'BOD' stands for:
A. Biological oxygen demand
B. Bacterial oxygen deficit
c. Basic oxygen demand
D. Building oxygen deposits
| 1 |
Chemistry
|
Suppose a continuous function \( \boldsymbol{f} \) \( [0, \infty) \rightarrow R \) satisfies \( f(x)= \)
\( 2 \int_{0}^{x} t f(t) d t+1 \) for all \( x \geq 0 \)
Then \( \boldsymbol{f}(\mathbf{1}) \) equals
\( A \)
B \( \cdot e^{2} \)
\( c \cdot e^{4} \)
D. \( e^{6} \)
| 2 |
Maths
|
If sum of \( n \) terms of a sequence is given
by \( S_{n}=2 n^{2}+3 n, \) find its \( 50^{t h} \) term.
| 2 |
Maths
|
Four wires of the same diameter are
connected, in turn, between two points maintained at a constant potential difference. Their resistivity's and lengths are; \( \rho \) and \( L(\text { wire } 1), 1.2 \rho \) and 1.2L (wire 2), \( 0.9 \rho \) and 0.9L (wire 3) and
\( \rho \) and \( 1.5 \mathrm{L} \) (wire 4 ). Rank the wires
according to the rates at which energy is dissipated as heat, greatest first.
A \( .4>3>1>2 \)
в. \( 4>2>1>3 \)
c. \( 1>2>3>4 \)
D. \( 3>1>2>4 \)
| 3 |
Physics
|
Match the columns and choose the
correct option.
\( \begin{array}{lllll} & \text { Column-I } & & \text { Column-II } & \\ \text { A. } & \text { Adrenaline } & \text { 1. } & \begin{array}{l}\text { Anger, fear, } \\ \text { danger }\end{array} \\ \text { B. } & \text { Oestrogen } & \text { 2. } & \begin{array}{l}\text { partnerting } \\ \text { through sense of } \\ \text { smell }\end{array} \\ \text { D. } & \text { Pheromones } & \text { 4. } & \text { Glucose }\end{array} \)
\( A \cdot A-3, B-1, C-4, D-2 \)
B. A-1,B-3,C-2,D-4
C. \( A-1, B-3, C-4, D-2 \)
D. \( A-3 . B-1 . C-2 . D- \)
| 0 |
Biology
|
The number of electrons that are
involved in the reduction of
permanganate to manganese (II) salt, manganate and manganese dioxide respectively are
A. 5,1,3
B. 5,3,1
c. 2,7,1
\( \mathbf{D} \cdot 5,2,3 \)
E .2,3,1
| 1 |
Chemistry
|
Several spherical drops of a liquid of radius coalesce to form a single drop to
radius \( R \). If the surface tension and \( V \) is
volume and \( r \) consideration, then the
release of energy is :
\( ^{\mathbf{A}} \cdot_{3 V T}\left(\frac{1}{r}+\frac{1}{R}\right) \)
B. \( \quad 3 V T\left(\frac{1}{r}-\frac{1}{R}\right) \)
\( ^{\mathrm{c}} \cdot_{V T}\left(\frac{1}{r}-\frac{1}{R}\right) \)
D. \( V T\left(\frac{1}{r^{2}}+\frac{1}{R^{2}}\right) \)
| 3 |
Physics
|
Find the range of the following
functions
\( \sqrt{x-5} \)
| 2 |
Maths
|
Metallic sodium is used as a drying
agent for:
This question has multiple correct options
A. chloroform
B. cyclohexane
c. diispropyl ether
D. diethylamine
| 1 |
Chemistry
|
Assertion: If a man with a wrist watch
on his hand falls from the top of a tower, its watch gives correct time during the
free fall.
Reason :The working of the wrist
watch depends on spring action and it has nothing to do with gravity.
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
|
1 m is equal to
\( \mathbf{A} \cdot 10^{-6} \) micron
B. \( 10^{6} \) micron
C \( \cdot 10^{-3} \) micron
D. \( 10^{3} \) micron
| 3 |
Physics
|
The units of conductivity are:
A. siemens \( ^{-1} \mathrm{cm}^{-1} \)
B. siemens cm
c. siemens \( c m^{-1} \)
D. siemens \( c m^{-1} m o l^{-1} \)
| 1 |
Chemistry
|
Define energy density of the median surrounding a charged conductor and state its formula.
| 3 |
Physics
|
Write the equations involved in the following reactions:
(i) Reimer - Tietmann reaction
(ii) Williamson synthesis
| 1 |
Chemistry
|
Point out the correct floral formula of
cruciferae
\( \mathbf{A} \cdot K_{2+2} C_{4 x} A_{2+4} G_{(2)} \)
B . \( K_{5} C_{6} A_{3} G_{(2)} \)
C. \( K_{2+2} C_{4} A_{2+4} G_{(2)} \)
D. \( K_{4} C_{4} A_{2} G_{(2)} \)
| 0 |
Biology
|
The structure of the \( S O_{3} \) molecule in
the gaseous phase contains:
B. \( \sigma \) -bonds and a (p\pi-p \( \pi \) ) bonds between sulphur and oxygen
c. \( \sigma \) -bonds and a (d \( \pi \) -p \( \pi \) ) bonds between sulphur and oxygen
D. \( \sigma \) -bonds, and a (p\pi-p \( \pi \) ) and a (p \( \pi \) -d \( \pi \) ) bonds between sulphur and oxygen
| 1 |
Chemistry
|
Molecular scissors which cut DNA at
specific site is known as
A. Pectinase
B. Polymerase
c. Restriction endonuclease
D. Ligase
| 0 |
Biology
|
In Greece and Italy, marble statues were damaged by:
\( A \cdot \operatorname{smog} \)
B. acid rains
c. eutrophication
D. leakage of \( C l_{2} \)
| 1 |
Chemistry
|
Bones glow in the dark because:
A. they contain shining material.
B. they contain red phosphorus.
C. white phosphorus undergoes slow combustion in contact with air.
D. white phosphorus changes into red form.
| 1 |
Chemistry
|
ff \( \boldsymbol{y}=\boldsymbol{y}(\boldsymbol{x}) \) satisfies the differential equation \( 8 \sqrt{x}(\sqrt{9+\sqrt{x}}) d y= \)
\( (\sqrt{4+\sqrt{9+\sqrt{x}}})^{-1} d x, x>0 \) and
\( \boldsymbol{y}(\mathbf{0})=\sqrt{\mathbf{7}}, \) then \( \boldsymbol{y}(\mathbf{2 5 6})= \)
\( A \)
B.
c. 16
D. 80
| 2 |
Maths
|
Find the domain of the following
function:
\( \boldsymbol{f}(\boldsymbol{x})=\cos ^{-1} \sqrt{\log [\boldsymbol{x}] \frac{|\boldsymbol{x}|}{\boldsymbol{x}}}, \) where, \( [\cdot] \)
denotes the greatest integer function.
| 2 |
Maths
|
The wrong option among the following
statements is :
A. The decreasing order of the value of the heat of combustion is :
B. cycloalakanes are planar
C. cyclopropane has a higher heat of combustion per methylene group \( \left(C H_{2}\right) \) than that of cyclobutane.
D. with the exception of cyclopropane, cycloalkanes are non-planar
| 1 |
Chemistry
|
A transformer with a \( 110 V \) primary has
a 15: 1 turns ratio. The load resistance,
\( R_{L}, \) is \( 120 . \) What is the approximate voltage across the load?
A . \( 7.3 V \)
B. \( 73 V \)
\( c .88 V \)
D. \( 880 V \)
| 3 |
Physics
|
The rate constants of a reaction at
\( 500 K \) and \( 700 K \) are \( 0.02 s^{-1} \) and
\( 0.07 s^{-1} \) respectively.
Calculate the values of \( \boldsymbol{E} \boldsymbol{a} \) and \( \boldsymbol{A} \) :
| 1 |
Chemistry
|
External protective tissues of plants
are
A. Cortex and Epidermis
B. Pericycle and Cortex
c. Epidermis and cork
D. Pericycle and Cork
| 0 |
Biology
|
A committee of two persons is selected from two men and two women. What is
the probability that the committee will
have no man?
| 2 |
Maths
|
A wire elengates by Imm when a weight w is hanged than it. If wire goes over a pulley and 2 weights W each are huge at two ends. What will be elongations of wire is mm?
| 3 |
Physics
|
Cathode rays have:
A. mass only
B. charge only
C. both mass and charge
D. neither mass nor charge
| 1 |
Chemistry
|
The removal of topsoil by water and wind is called as
A. Soil tilling
B. Soil erosion
c. soil mulching
D. Weathering
| 0 |
Biology
|
The perimeter of a sector is \( P . \) The area of the sector is maximum when its radius is
\( A \cdot 1 / \sqrt{P} \)
B. \( P / 2 \)
c. \( P / 4 \)
D. \( \sqrt{P} \)
| 2 |
Maths
|
An open flask contains air at \( 27^{\circ} \mathrm{C} \). At
what temperature should it be heated so that \( 1 / 3 r d \) of air present in it goes
out?
A \( \cdot 177^{\circ} \mathrm{C} \)
B. \( 100^{\circ} \mathrm{C} \)
\( \mathbf{c} \cdot 300^{\circ} \mathrm{C} \)
D. \( 150^{\circ} \mathrm{C} \)
| 1 |
Chemistry
|
Two point size bodies of masses \( 20 g \)
\( 30 g \) are fixed at two ends of a light rod
of length \( 1.5 m . \) The moment of inertia of these two bodies about an axis
perpendicular to the length of rod and
passing through their center of mass is:
A. \( 1.8 \times 10^{-2} k g m^{2} \)
В. \( 2.7 \times 10^{-2} k g m^{2} \)
c. \( 4.5 \times 10^{-2} k g m^{2} \)
D. \( 6 \times 10^{-2} k g m^{2} \)
| 3 |
Physics
|
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