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\( \boldsymbol{f}(\boldsymbol{x})=\left\{\begin{array}{cc}3 x-8 & \text { if } x \leq 5 \\ 2 k & \text { if } x>5\end{array}\right. \)
continuous, find \( k \)
\( A \cdot \frac{2}{7} \)
B. 3 \( \overline{7} \)
\( c \cdot \frac{4}{7} \)
D.
| 2 |
Maths
|
The angle between the two vectors \( \vec{A}= \) \( \mathbf{3} \hat{\mathbf{i}}+\mathbf{4} \hat{\mathbf{j}}+\mathbf{5} \hat{\boldsymbol{k}} \) and \( \overrightarrow{\boldsymbol{B}}=\mathbf{3} \hat{\mathbf{i}}+\mathbf{4} \hat{\boldsymbol{j}}-\mathbf{5} \hat{\boldsymbol{k}} \) is :
A \( .60^{\circ} \)
B . \( 0^{\circ} \)
\( c .90^{\circ} \)
D. None of these
| 3 |
Physics
|
Which of the following oxo-acids of sulphur has more than one oxidation
state of
oxygen?
A \( \cdot H_{2} S_{2} O_{3} \)
в. \( H_{2} S_{2} O_{4} \)
c. \( H_{2} S_{2} O_{6} \)
D. \( H_{2} S_{2} O_{8} \)
| 1 |
Chemistry
|
For a reaction \( \boldsymbol{A}+\boldsymbol{B} \rightarrow \) Products, it is
observed that doubling the concentration of \( B \) caused the reaction
rate to increase four times, but
doubling the concentration of \( A \) has no effect on the rate of reaction. The rate
equation is therefore:
A \( \cdot \) rate \( =K[A]^{2} \)
B . rate = \( K[B]^{2} \)
c. rate \( =K[A][B] \)
D. rate = \( K[A] \)
| 1 |
Chemistry
|
Triangle \( A B C \) is angled at \( A . A D \) is
drawn perpendicular to \( B C . \) If \( A B= \) \( 10 \mathrm{cm}, A C=12 \mathrm{cm}, \) find the area of
\( \triangle A B C . \) Also find the length of \( A D \)
| 2 |
Maths
|
Five ordinary dies are rolled at random and the sum of numbers shown is 16
What is the probability that the number
shown on each is any one from 2,3,4 or
\( \mathbf{5} ? \)
A \( \cdot \frac{9}{49} \)
B. \( \frac{3}{49} \)
c. \( \frac{2}{49} \)
D. None of these
| 2 |
Maths
|
Identify \( X \) in the reaction.
\( \boldsymbol{C H} \boldsymbol{C l}_{3} \frac{\boldsymbol{S b F}_{3}}{H \boldsymbol{F}} \boldsymbol{C H} \boldsymbol{F}_{2} \boldsymbol{C l}^{\underline{1070} \boldsymbol{K}}(\boldsymbol{X})+ \)
\( \mathbf{2} \boldsymbol{H} \boldsymbol{C l} \)
\( \mathbf{A} \cdot F_{2} C=C F_{2} \)
в. \( C l F C=C F C l \)
c. \( F_{2} C=C F C l \)
D. \( F_{2} C=C C l_{2} \)
| 1 |
Chemistry
|
Which of the following instruments make use of principle of moments
during operation?
A . Ruler
B. Vernier calipers
c. spring balance
D. Simple balance
| 3 |
Physics
|
When a lead storage battery is
discharged:
A. \( S O_{2} \) is evolved
B. lead sulphate is consumed
\( \mathrm{c} \). lead is formed
D. sulphuric acid is consumed
| 1 |
Chemistry
|
The two long polynucleotide chains of DNA are held together by
A. Hydrogen bonds
B. Covalent bonds
c. Metallic bonds
D. lonic bonds
E. Polar covalent bonds
| 0 |
Biology
|
A particle executes \( \boldsymbol{S H} \boldsymbol{M} \) on a line
\( 8 c m \) long. Its \( K . E \) and \( P . E \) will be equal
when its distance from the mean
position is:
A. \( 4 \mathrm{cm} \)
B. 2 cm
\( \mathrm{c} \cdot 2 \sqrt{2} \mathrm{cm} \)
D. \( \sqrt{2} \) cm
| 3 |
Physics
|
A plant that prepares its own food is
A. Autotroph
B. Parasite
c. Epiphyte
D. Saprophyte
| 0 |
Biology
|
Find the smallest number by which 243 must be multiplied to make it a perfect
cube.
A . 1
B. 2
\( c .3 \)
D. 4
| 2 |
Maths
|
In the leaching of \( A g_{2} S \) with \( N a C N, \) a
stream of air is also passed. It is
because of:
A. Reversible nature of reaction between \( A g_{2} S \) and NaCN
B. To oxidise \( N a_{2} S \) into \( N a_{2} S O_{4} \)
c. Both (A) and (B)
D. None of the above
| 1 |
Chemistry
|
Find the chance of throwing more than
15 in one throw with 3 dice.
| 2 |
Maths
|
Magnetic force required to demagnetize the material
A. retainity
B. coercivity
c. energy loss
D. hysteresis
| 3 |
Physics
|
What is the speed at the top?
A \( \frac{E}{B} \)
в. \( \frac{E}{2 \text { }} \)
c. \( \frac{2 E}{B} \)
D. \( \frac{B}{2 E} \)
| 3 |
Physics
|
A reversible galvanic cell is connected to an external battery. If the EMF of the battery is less than the EMF of the galvanic cell, then the current:
A. will not pass through the circuit
B. will flow from the battery to the galvanic cell
c. will flow from the galvanic cell to the battery
D. can flow in any direction
| 1 |
Chemistry
|
The reaction does not proceed in the
forward direction \( f \Delta G \) is
A. Positive
B. Negative
c. zero
D. None of these
| 1 |
Chemistry
|
An automobile engine absorbs \( 1600 J \) of heat from a hot reservoir and expel
\( 1000 J \) to a cold reservoir in each cycle.
What is the power output of engine if it
operates at 200 cycle per minute?
\( \mathbf{A} \cdot 3 H P \)
B. \( 4 \mathrm{HP} \)
c. 2.7 НР
D. 3.7 НР
| 3 |
Physics
|
An equation of a plane containing the
lines \( r=a_{1}+t b_{1} \) and \( r=a_{2}+t b_{2} \)
where \( \left[\boldsymbol{a}_{2}-\boldsymbol{a}_{1}, \boldsymbol{b}_{1}, \boldsymbol{b}_{2}\right]=\boldsymbol{0} \) is
A \( \cdot\left[r-a_{1}, b_{1}, b_{2}\right]=0 \)
B . \( \left[r-a_{2}, b_{1}, b_{2}\right]=0 \)
c. \( \left[r-a_{2}, a_{1}, b_{2}\right]=0 \)
D . \( \left[r-a, a_{2}, b_{2}\right]=0 \)
| 2 |
Maths
|
Which one of these is viviparous?
A . Turtle
B. Running birds
c. Rabbit and whale
D. Bony fish
| 0 |
Biology
|
In the method using the transformers, assume that the ratio of the number of
turns in the primary to that in the secondary in the step-up transformers
is \( 1: 10 . \) If the power to the consumers
has to be supplied at \( 200 V, \) the ratio of the number of turns in primary to that in the secondary in the step-down transformer is
B. 150: 1
c. 100: 1
D. 50: 1
| 3 |
Physics
|
Examples of non-conductors include
A. sulphur
B. phosphorus.
c. wood
D. all of these.
| 3 |
Physics
|
The figure shows a mechanical set-up.
What mechanism is reflected by this
schematic?
A. Sliding mechanism
B. Rotation mechanism
C. Slide-crank mechanism
D. Rolling mechanism
| 3 |
Physics
|
\( \boldsymbol{P}(\boldsymbol{A})=\frac{1}{\boldsymbol{Z}} \)
\( \boldsymbol{P}(\boldsymbol{B})=\frac{1}{\boldsymbol{4}} \)
\( \boldsymbol{P}(\boldsymbol{A} \cap \boldsymbol{B})=\frac{1}{\mathbf{5}} \)
\( \boldsymbol{P}(\boldsymbol{A} / \boldsymbol{B})=? \)
| 2 |
Maths
|
Number of NADH produced during breakdown of one molecule of glucose to 1: 3 diphosphoglycerate stage is
\( A \cdot 6 \)
B. 4
\( c \cdot 3 \)
D.
| 0 |
Biology
|
In the lunch, you ate boiled green
vegetables, a piece of cooked meat, one boiled egg and a sugar candy. Which
one of these foods may have been digested first?
A. Boiled green vegetables
B. The piece of cooked meat
c. Boiled egg
D. sugarcandy
| 0 |
Biology
|
Find the area of the region enclosed by
the curves \( \boldsymbol{y}=\mathbf{4} \boldsymbol{x}-\boldsymbol{x}^{2}, \boldsymbol{y}=\mathbf{5}-\mathbf{2} \boldsymbol{x} \)
| 2 |
Maths
|
n exponential form \( 729=3^{a}, \) what is
the value of \( a ? \)
| 2 |
Maths
|
Find the multiplicative inverse of the complex numbers given the following:
\( \sqrt{5}+3 i \)
| 2 |
Maths
|
Find the maximum value of \( \sqrt{3} \sin x+ \)
\( \cos x \)
| 2 |
Maths
|
Given below are four statements (i)-(iv).
Which two of the following statements
are correct?
(i) It is estimated that more than 70
percent of the world livestock
population is in India and China.
(ii) Stringent cleanliness and hygiene (both of the cattle and the handlers) are
of paramount importance while milking, storage and transport of the milk and its products.
(iii) Out-breeding is the breeding between animals of the same breed
only.
(iv) Crosses between different breeds is
called inbreeding.
A \( \cdot \) (i) and (ii)
B. (iii) and (iv)
c. (i) and (iv)
D. (ii) and (iii)
| 0 |
Biology
|
A substance that changes color in response to a chemical change is called
as indicator.and Name of the indicator
used when sodium hydroxide is titrated against sulphuric acid is phenolpthalein. For true add 0 and for false add 1
| 1 |
Chemistry
|
A survey was conducted in a small industrial plant having 50 workers to find the number of \( k m \) each person
commuted to work and the details are
given below. Represent it by a histogram and frequency polygon.
commuted Distance
\[
\begin{array}{lll}
50- & 40- & 30- \\
59 & 49 & 39
\end{array}
\]
\( (k m) \)
No. of workers
| 2 |
Maths
|
The value of \( \sin h^{-1}(3) \)
\( A \cdot \log (1+\sqrt{2}) \)
B \( \cdot \log (2+\sqrt{3}) \)
\( \mathbf{c} \cdot \log (3+\sqrt{5}) \)
D \( \cdot \log (3+\sqrt{10}) \)
| 2 |
Maths
|
Non-metals are less dense and have low
melting and boiling points as compared to metals.
A. True
B. False
| 1 |
Chemistry
|
The amount of volume of air that can be
inspired / expired normally is called
A. Tidal volume
B. Vital capacity
c. Residual volume
D. Normal volume
| 0 |
Biology
|
Construct a triangle of sides
\( 4.2 c m, 5.1 c m \) and \( 6 c m . \) Then construct
a triangle similar to it, whose sides are
\( \frac{2}{3} \) of corresponding sides of the first triangle.
| 2 |
Maths
|
Complete the following reaction, \( P_{4}+ \)
\( N a O H+H_{2} O \rightarrow ? \)
A. \( P H_{3}+N a_{2} H P O_{2} \)
в. \( P H_{3}+N a H_{2} P O_{2} \)
c. \( H_{3} P O_{4}+N a O \)
D. \( P H_{3}+N a_{2} P O_{4} \)
| 1 |
Chemistry
|
Anabaena azollae is present in the roots of Azolla.
| 0 |
Biology
|
Baeyer's reagent is:
A. aqueous bromine solution
B. neutral permanganate solution
C . acidified permanganate solution
D. alkaline potassium permanganate solution
| 1 |
Chemistry
|
Calculate the median for the following
\[
\begin{array}{lcccc}
\begin{array}{l}
\text { Weight } \\
\text { in kg. }
\end{array} & 20 & 22 & 24 & 27 \\
\begin{array}{l}
\text { No. of } \\
\text { boys }
\end{array} & 8 & 10 & 11 & 9
\end{array}
\]
A . 23
B . 26
c. 23.5
D . 24
| 2 |
Maths
|
Myogenic heart is not present in which of the following?
A. Man
B. limulus
c. Frog
D. Musse
| 0 |
Biology
|
The phenomenon in which an emf is induced in a conductor kept just by the side of another conductor through which varying current is passed is called
A. Magnetic effect
B. Electromagnetic induction
c. Photoelectric effect
D. Mechanical effect
| 3 |
Physics
|
Assertion
Li and \( M g \) shows diagonal relationship.
Reason
Li and \( M g \) are diagonal to each other in the Periodic table.
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
| 1 |
Chemistry
|
If two litres of air is passed repeatedly
over heated copper and heated \( M g \) till no further reduction in volume takes
place the volume finally obtained will be approximate:
A. 200 mL
B. 20 mL
c. zero
D. 10 mL
| 1 |
Chemistry
|
In a certain region of space, the
potential is given by \( \boldsymbol{V}=\boldsymbol{k}\left[\mathbf{2} \boldsymbol{x}^{2}-\boldsymbol{y}^{2}+\boldsymbol{z}^{2}\right] . \) The electric field
at the point (1,1,1) has magnitude \( = \)
A \( . k \sqrt{6} \)
в. \( 2 k \sqrt{6} \)
c. \( 2 \sqrt{3} k \)
D. \( 4 k \sqrt{3} \)
is
| 3 |
Physics
|
Which is the best conductor of
electricity?
A. Iron
B. Silver
c. copper
D. Carbon
| 3 |
Physics
|
Kepler's first law provides information about
A. areal velocity of a planet
B. Shape of the orbit of the planettet
c. Mass of the planet
D. Distance of the planet from the sun
| 3 |
Physics
|
Write the degree of the differential
equation \( x^{3}\left(\frac{d^{2} y}{d x^{2}}\right)^{2}+\left(\frac{d y}{d x}\right)^{4}=0 \)
| 2 |
Maths
|
In the given figure, \( \angle P R Q=\angle P Q R \)
then prove that \( \angle P Q S=\angle P R T \)
| 2 |
Maths
|
\( \operatorname{Let} a_{1}, a_{2}, \dots \dots a_{50} \) are non constant
terms of an A.P. and sum of n terms is
given by \( \boldsymbol{S}_{\boldsymbol{n}}=\mathbf{5 0 n}+(\boldsymbol{n})(\boldsymbol{n}-\boldsymbol{7}) \frac{\boldsymbol{A}}{\mathbf{2}} \)
then ordered pair \( \left(d, a_{50}\right) \) is? (where dis the common difference
A. \( (A, 45 A) \)
B. \( (46 A+50) \)
c. \( (2 A, 46 A) \)
D. \( (2 A, 50+49 A) \)
| 2 |
Maths
|
The decreasing basic order of the following is:
\( \boldsymbol{i} . \boldsymbol{C H}_{3} \quad \boldsymbol{i} \boldsymbol{i} . \boldsymbol{O H} \)
iii.C \( H_{3} \) COO \( ^{\ominus} \) iv. \( H_{2} \) O
A \( \cdot(i)>(i i)>(i i i)>(i v) \)
B. \( (i v)>(i i i)>(i i)>(i) \)
C. \( (i i i)>(i)>(i i)>(i v) \)
D. \( (i v)>(i i)>(i)>(i i i) \)
| 1 |
Chemistry
|
Nitrogen show pentavalency
A. True
B. False
| 1 |
Chemistry
|
What is the name of \( \varepsilon_{0} \) ? what is the
value
| 3 |
Physics
|
The total mass of reactants and
products in a reaction will always be the same Thus law is known as?
| 1 |
Chemistry
|
Which of the following is a natural source of light?
A. Electric lamp
B. Electric filament
c. Torch light
D. Sunlight
| 3 |
Physics
|
The number-of line symmetries that the
given square have:
\( A \)
\( B \)
\( c \)
\( D \)
| 2 |
Maths
|
A point on the parabola \( y^{2}=18 x \) at
which the ordinate increases at twice
the rate of the abscissa is
A \( \cdot(2,4) \)
В \( \cdot(2,-4) \)
\( ^{\mathrm{c}} \cdot\left(-\frac{9}{8}, \frac{9}{2}\right) \)
D. \( \left(\frac{9}{8}, \frac{9}{2}\right) \)
| 2 |
Maths
|
Solve:- \( 2 x^{2}-18=0 \)
| 2 |
Maths
|
The natural frequency of the circuit
shown in adjoining figure is
A \( \cdot \frac{1}{2 \pi \sqrt{L C}} \)
в. \( \frac{1}{2 \pi \sqrt{2 L C}} \)
c. \( \frac{2}{2 \pi \sqrt{L C}} \)
D. zero
| 3 |
Physics
|
Farmers utilized large amount of groundwater by:
A. wells
B. over pumping of groundwater
c. both A and B
D. none of the above
| 0 |
Biology
|
Evaluate: \( \int_{-\pi / 3}^{\pi / 3} \cos ^{2} x d x \)
A. \( \sqrt{3} / 4 \)
в. \( \pi / 3 \)
\( ^{C} \cdot \frac{\pi}{3}+\frac{\sqrt{3}}{4} \)
D. \( \frac{\pi}{3}-\frac{\sqrt{3}}{4} \)
| 2 |
Maths
|
\( \left|\begin{array}{ccc}\mathbf{1} & \boldsymbol{a} & \boldsymbol{a}^{2} \\ \mathbf{1} & \boldsymbol{b} & \boldsymbol{b}^{2} \\ \mathbf{1} & \boldsymbol{c} & \boldsymbol{c}^{2}\end{array}\right|=(\boldsymbol{a}-\boldsymbol{b})(\boldsymbol{b}-\boldsymbol{c})(\boldsymbol{c}-\boldsymbol{a}) \)
| 2 |
Maths
|
ions are absorbed from the soil by
A. Passive transport
B. Active transportt
\( c . \) Both (1) \& (2)
D. Imbibition
| 0 |
Biology
|
Collecting the information about female festicide is the abortion at a female
foetus outside of legal methods.
| 0 |
Biology
|
The component of vector \( \vec{a}=2 \hat{i}+3 \widehat{j} \)
along the vector \( \hat{\boldsymbol{i}}+\widehat{\boldsymbol{j}} \) is:
A \( \cdot \frac{5}{\sqrt{2}} \)
в. \( 10 \sqrt{2} \)
c. \( 5 \sqrt{2} \)
D.
| 3 |
Physics
|
What is the approximate lightning frequency?
A. 1.4 billion flashes per year
B. 1.4 billion flashes per month
c. 1.5 billion flashes per year
D. 1.6 billion flashes per yea
| 3 |
Physics
|
By expressing the following in the form
\( \frac{p}{q}, \) where \( p \) and \( q \) are integers and \( q \neq \)
\( \mathbf{0} \)
0.2 is equal to \( \frac{1}{m}, \) Find the value of \( m \)
| 2 |
Maths
|
Silica gel is used for keeping away the moisture because it?
A. Adsorbs water molecul
B. Absorbs water molecule
c. Reacts with water
D. None of the above
| 1 |
Chemistry
|
Define a) Dalapon b) Metolachlor
| 1 |
Chemistry
|
What is displacement?
| 3 |
Physics
|
toppr
Q Type your question
of the electric filed \( |\bar{E}(r)| \) and the
electric potential \( V(r) \) with the
distance \( r \) from the centre, is best
represented by which graph ?
4
3
\( c \)
\( D \)
| 3 |
Physics
|
A synthetic rubber which is resistant to
the action of oils, gasoline and other solvents is:
A. buna-s
B. polyisoprene
c. neoprene
D. polystyrene
| 1 |
Chemistry
|
What is likely to be orbit number for a
circular orbit of diameter 20 nm of the hydrogen atom?
A . 10
B. 14
c. 12
D. 16
| 1 |
Chemistry
|
Vascular bundles are scattered in
A. Bryophytes
B. Dicot root
c. Dicot stem
D. Monocot stem
| 0 |
Biology
|
\( 0.3780 \mathrm{gm} \) of an organic chloro compound gave 0.5740 gm of silver chloride in Carius estimation. Calculate
the percentage of chlorine present in the compound (in nearest integer).(If answer is \( X \), then enter \( \frac{X}{6} \) )
| 1 |
Chemistry
|
What are secondary consumers?
| 0 |
Biology
|
Which of the following is not a disaccharide?
A. Cane sugar
B. Raffinose
c. Lactose
D. Maltose
| 1 |
Chemistry
|
The magnetic field of an electromagnetic wave is given by \( : \vec{B}= \)
\( \mathbf{1 . 6} \times \mathbf{1 0}^{-\mathbf{6}} \cos \left(\mathbf{2} \times \mathbf{1 0}^{\mathbf{7}} \boldsymbol{z}+\mathbf{6} \times\right. \)
\( \left.10^{15} t\right)(2 \hat{i}+\hat{j}) \frac{W b}{m^{2}} \) The associated
electric field will be :-
A \( \cdot \vec{E}=4.8 \times 10^{2} \cos \left(2 \times 10^{7} z+6 \times 10^{15} t\right)(\hat{i}-2 \hat{j}) \frac{V}{m} \)
B \( \cdot \vec{E}=4.8 \times 10^{2} \cos \left(2 \times 10^{7} z-6 \times 10^{15} t\right)(2 \hat{i}+\hat{j}) \frac{V}{m} \)
C・ \( \vec{E}=4.8 \times 10^{2} \cos \left(2 \times 10^{7} z-6 \times 10^{15} t\right)(-2 \hat{j}+\hat{i}) \frac{V}{m} \)
D・ \( \vec{E}=4.8 \times 10^{2} \cos \left(2 \times 10^{7} z+6 \times 10^{15} t\right)(-\hat{i}+2 \hat{j}) \frac{V}{m} \)
| 3 |
Physics
|
Which of the following statements is not correctly showing the trend of the properties mentioned?
A. \( C H_{3} C H_{2} O H>C H_{3} C H_{2} C H_{2} O H> \)
\( C H_{3} C H_{2} C H_{2} C H_{2} O H \)
B . \( C H_{3} C H_{2} O H>C H_{3} C H_{2} C H_{2} O H> \)
\( C H_{3} C H_{2} C H_{2} C H_{2} O H \)
(Boilingpoint)
c. \( C H_{3} C H_{2} C H_{2} O H>C H_{3} C H-C H_{2} O H> \)
\( C H_{3} \)
\( C H_{3} \)
\( C H_{3}-C_{I}^{\prime}-O H \)
Boiling point
D. \( \quad C H_{3} \)
\[
C H_{3}-C_{C H_{3}}^{L}-O H<C H_{3} C H-C H_{2} O H
\]
\( C H_{3} C H_{2} C H_{C} H_{2} O H \)
| 1 |
Chemistry
|
Calculate the angles marked with small etters in the following diagram.
(iii) Rhombus
| 2 |
Maths
|
Atomic number of Radon is:
A . 54
B. 86
c. 72
D. 68
| 1 |
Chemistry
|
What is diffraction of light?
A. The process where the incident light on a surface is bounced back into the same medium
B. Splitting of a ray of light into its 7 constituent colours is known as diffraction
C. The process by which a beam of light is spread out as a result of passing through a narrow aperture or across an edge,is known as diffraction
D. None of these
| 3 |
Physics
|
How many moles of \( O_{2} \) required for complete combustion of one mole of
propane?
A. 7
B. 5
c. 16
D. 10
| 1 |
Chemistry
|
If \( A \) and \( B \) are two events such that
\( \boldsymbol{P}(\boldsymbol{A})=\mathbf{1} / 2 \) and \( \boldsymbol{P}(\boldsymbol{B})=2 / 3, \) then
This question has multiple correct options
A. \( P(A \cup B) \geq 2 / 3 \)
B . \( P\left(A \cap B^{\prime}\right) \leq 2 / 3 \)
c. \( 1 / 6 \leq P(A \cap B) \leq 1 / 2 \)
D. \( 1 / 6 \leq P\left(A^{\prime} \cap B\right) \leq 1 / 2 \)
| 2 |
Maths
|
Element Electronegative \begin{tabular}{ccc}
\( P \) & 2.1 \\
\( H \) & 2.2 \\
\( B r \) & 2.8 \\
\hline
\end{tabular} \( B^{r} \) 1
\( O \) 3.5 If What is and
On the basis of the electronegativity values given above, in which of the following are the bonds most polar?
\( \mathbf{A} \cdot P H_{3} \)
B. \( H_{2} O \)
\( \mathbf{c} \cdot H B r \)
D. \( P_{4} \)
E \( . P B r_{3} \)
| 1 |
Chemistry
|
Prove that:
\( \int_{0}^{\pi} \frac{x d x}{1+\sin x}=\pi \)
| 2 |
Maths
|
The globe of Saturn can contain about
A. 150 Earths
B. 472Earths
c. 355 Earths
D. 729 Earths
| 3 |
Physics
|
Choose the correct one from the given
four options. \( \mathrm{pH} \) of bleach powder has an approximate
value of
5
8
11
14
| 1 |
Chemistry
|
Calculate sum of eleventh term of the
geometric sequence \( 3,6,12,24, \dots \)
A . 3141
B. 6141
\( c .2141 \)
D. 514
| 2 |
Maths
|
Read the bar graph given in above fig.
and answer the following questions:
What was the expenditure on health
and family planning in the year 1982
\( 83 ?(\text { in crores }) \)
Bar graph of the ex health and family planning during the Sixth Five Year Plan in India
| 2 |
Maths
|
Axillary buds are used to raise crop of
A. Wheat
B. Rice
c. Groundnut
D. Sugarcane
| 0 |
Biology
|
A mercury thermometer is placed in a gravity free half without touching. As temperature rises mercury expands and ascend in thermometer. If height
ascend by mercury in thermometer is \( h \) then by what height centre of mass of mercury and thermometer system descend?
| 3 |
Physics
|
Cinnabar \( (H g S) \) is heated in air, it is
first converted into which
is then reduced to on further
heating
A. \( H g O, H g \)
в. \( H g O, H g_{2} O \)
\( \mathbf{c} \cdot H g_{2} O, H g \)
D. \( H g_{2} O, H g O \)
| 1 |
Chemistry
|
By which of the following processes ATP
is produced?
I. Photosynthesis
Il. Aerobic respiration
III. Anaerobic respiration
A. I only
B. II only
C. I and III only
D. II and III only
E . I, II, and III
| 0 |
Biology
|
One fermi is?
A \( \cdot 10^{-15} \mathrm{cm} \)
B. \( 10^{-13} \mathrm{cm} \)
\( \mathbf{c} \cdot 10^{-10} \mathrm{cm} \)
D. \( 10^{-12} \mathrm{cm} \)
| 1 |
Chemistry
|
The amplitude of a damped oscillator becomes \( \left(\frac{1}{3}\right) r d \) in \( 2 s . \) If its amplitude \( \operatorname{after} 6 s \operatorname{in} \frac{1}{n} \) times the original
amplitude, the value of \( n \) is
\( A \cdot 3^{2} \)
B. \( 3 \sqrt{2} \)
\( c \cdot 3^{3} \)
D. \( 2^{3} \)
| 3 |
Physics
|
Which equation has an enthalpy change of reaction which corresponds to the standard enthalpy change of atomisation of chlorine?
\( ^{\mathbf{A}} \cdot \frac{1}{2} C l_{2}(g) \rightarrow C l(g) \)
в. \( \frac{1}{2} C l_{2}(l) \rightarrow C l(g) \)
c. \( C l_{2}(g) \rightarrow 2 C l(g) \)
D. \( C l_{2}(l) \rightarrow 2 C l(g) \)
| 1 |
Chemistry
|
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