text
stringlengths 1
4.32k
| label
int64 0
3
| label_text
stringclasses 4
values |
|---|---|---|
By which of the following relations, the equilibrium constant varies with
temperature?
\( ^{\mathrm{A}} \cdot \ln K_{2}-\ln K_{1}=\frac{\Delta H^{\circ}}{R} \int_{T_{1}}^{T_{2}} d\left(\frac{1}{T}\right) \)
в. \( \ln K_{2}-\ln K_{1}=-\frac{\Delta H^{o}}{R} \int_{1 T_{1}^{1} T_{1}}^{1 / T_{2}} d\left(\frac{1}{T^{2}}\right) \)
\( ^{\mathrm{c}} \cdot \ln K_{2}-\ln K_{1}=-\frac{\Delta H^{o}}{R} \int_{T_{1}^{T_{1}}}^{T_{2}}\left(\frac{1}{T}\right) \)
D. \( _{\ln K_{2}-\ln K_{1}=-\frac{\Delta H^{o}}{R} \int_{1 / T_{2}}^{1 / T_{1}} d}\left(\frac{1}{T}\right) \)
| 1 |
Chemistry
|
As many as different
combination of water are possible from
\( 1 H^{1}, 1 H^{2}, 1 H^{3} \) and \( _{8} O^{16},_{8} O^{17} \) and \( _{8} O_{18} \)
| 1 |
Chemistry
|
What is the mode of nutrition in fungi?
A. Saprophytic
B. Holozoic
c. Parasitic
D. All of the above
| 0 |
Biology
|
A uniform magnetic field \( \vec{B}=B_{0} \hat{j} \)
exists in a space. A particle of mass \( m \)
and charge q is projected towards
negative \( x \) -axis with speed \( v \) from the a
point \( (d, 0,0) . \) The maximum value v for
which the particle does not hit \( y \) -z plane is?
\( \mathbf{A} \cdot \frac{2 B q}{d m} \)
B. \( \frac{B q d}{m} \)
\( \mathbf{c} \cdot \frac{B q}{2 d m} \)
D. \( \frac{B q d}{2 m} \)
| 3 |
Physics
|
Plane \( a x+b y+c z=1 \) intersect axes \( \operatorname{in} A, B, C \) respectively. If \( G\left(\frac{1}{6},-\frac{1}{3}, 1\right) \)
is a centroid of \( \triangle A B C \) then \( a+b+ \)
\( 3 c=-1 \)
A \( \cdot \frac{4}{3} \)
B. 4
\( c \cdot 2 \)
D.
| 2 |
Maths
|
For the cell :
\[
\begin{array}{l}
\boldsymbol{Z} \boldsymbol{n}\left|\boldsymbol{Z} \boldsymbol{n}^{2+} \| \boldsymbol{C} \boldsymbol{u}^{2+}\right| \boldsymbol{C} \boldsymbol{u} \\
\boldsymbol{E}_{\boldsymbol{z n}}^{\ominus}=\boldsymbol{0 . 7 3 6} \boldsymbol{V} ; \boldsymbol{E}_{(c u)}^{\ominus}=-\boldsymbol{0 . 3 5} \boldsymbol{V}
\end{array}
\]
Calculate the cell EMF.
| 1 |
Chemistry
|
Lead nitrate of heating decomposes to give
\( 2 P b\left(N O_{3}\right)_{2} \rightarrow 2 P b O+4 N O_{2}+O_{2} \)
What is the total volume of gases
produced when 13.24 g of lead nitrate is heated? All gases are measured at STP. \( (P b=207 ; N=14 ; O=16) \)
A. 4.24 litres
B. 1.24 litres
c. 3.24 litres
D. 2.24 litres
| 1 |
Chemistry
|
An open box is made of 3cm thick. Its
external length, breadth, and hights are \( 1.48 \mathrm{m}, 1.16 \mathrm{m}, 8.3 \mathrm{dm} . \) Find the cost of
painting the inner surface at 50 p per \( 100 \mathrm{cm}^{2} \)
| 2 |
Maths
|
Electrical power \( P \) is given by expression : \( \boldsymbol{V} \times \boldsymbol{x} . \) What is \( \boldsymbol{x} \) ?
A. Charge
B. current
c. Resistance
D. None of these
| 3 |
Physics
|
A tap supplies water at \( 22^{0} \) C.A man
takes 1 litre per minute at \( 37^{0} \) from the
geyser. If the mains supply is \( 210 \mathrm{V} \), then the current flowing in the geyser is :
A. 7.5A
B. 2.5A
c. \( 5.0 A \)
D. 10A
| 3 |
Physics
|
Which of the following statement is true about the complex \( \left[\boldsymbol{C r} \boldsymbol{C l}_{3}(\boldsymbol{O H})_{2}\left(\boldsymbol{N} \boldsymbol{H}_{3}\right)\right]^{2-} \) ion?
This question has multiple correct options
A. It has three geometrical isomers.
B. Only one space isomers is optically active and remaining are inactive
c. There are total four space isomers.
D. The magnetic moment of complex ion is 3.89 BM.
| 1 |
Chemistry
|
Give two examples of root parasites of plants. Mention the special structures present in them to draw the nutrients
from the host plant.
| 0 |
Biology
|
Solve the following question:
Find the slope of the line passing through the points \( A(2,3) \) and \( B(4,7) \)
| 2 |
Maths
|
In fire extinguishers, which of the following is used?
A. \( C H C l_{3} \)
в. \( C S_{2} \)
c. \( C C l_{4} \)
D. \( C H_{2} C l_{2} \)
| 1 |
Chemistry
|
Two nitrogen atom form a nitrogen molecule by sharing
A. 2 pairs of electrons.
B. 3 pairs of electrons.
c. 4 pairs of electrons
D. 1 pairs of electrons
| 1 |
Chemistry
|
In a metre bridge experiment, null point
is obtained at \( 20 \mathrm{cm} \) from one end of the
wire when resistance \( X \) is balanced
against another resistance \( \boldsymbol{Y} \). If \( \boldsymbol{X}<\boldsymbol{Y} \)
then the new position of the null point from the same end, if one decides to
balance a resistance of \( 4 X \) against \( Y \)
will be at:
\( \mathbf{A} \cdot 50 \mathrm{cm} \)
в. \( 80 \mathrm{cm} \)
\( \mathbf{c} .40 \mathrm{cm} \)
D. \( 70 \mathrm{cm} \)
| 3 |
Physics
|
Who proposed Lock and key hypothesis to explain the mechanism of enzymatic action?
A. Fischer
B. Jacob
c. Koshland
D. Sumner
| 0 |
Biology
|
Which of the following objects are soluble in water?
A. Fodder
B. Table salt
c. chalk powder
D. clay
| 1 |
Chemistry
|
When is \( P_{\text {inst}} \) negative?
A. From base to highest point.
B. From highest point to base.
c. At the base
D. At the highest point.
| 3 |
Physics
|
When conc. \( \boldsymbol{H}_{2} \boldsymbol{S} \boldsymbol{O}_{4} \) comes in contact with sugar, it becomes black due to
A. hydrolysis
B. hydration
c. decolourisation
D. dehydration
| 1 |
Chemistry
|
Munch hypothesis is based on
A. Translocation of food due to turgor pressure (TP) gradient and imbibition force
B. Translocation of food due to turgor pressure (TP) gradient
C. Translocation of food due to imbibition force
D. None of the above
| 0 |
Biology
|
Which one is required for muscle contraction and nerve impulse transmission?
A \( \cdot C a^{2} \)
в. \( M g^{2+} \)
\( \mathrm{c} \cdot F e^{2} \)
D. Both A and B
| 0 |
Biology
|
The correct sequence of plants in a hydrosere is
\( \mathbf{A} \cdot O a k \rightarrow \)Lantana\( \rightarrow V o l v o x \rightarrow H y d r i l l a \rightarrow P i s t i a \rightarrow \)
Scirpus
B. \( O a k \rightarrow \)Lantana\( \rightarrow \)Scirpus\( \rightarrow \)Pistia\( \rightarrow \)Hydrilla\( \rightarrow \)
Volvox
C . \( V \) olvox \( \rightarrow \) Hydrilla \( \rightarrow \) Pistia \( \rightarrow \) Scirpus \( \rightarrow \)
Lantana\( \rightarrow \)Oak
D. Pistia \( \rightarrow \) Volva \( \rightarrow \) Scirpus \( \rightarrow \) Hydrilla\( \rightarrow \) Oak \( \rightarrow \)
Lantana
| 0 |
Biology
|
The sound heard after reflection from a
rigid surface is
called
| 3 |
Physics
|
In adolescents, acne develops into
A. Males in response to androgen
B. Females in response to oestrogen
C. Both males and females in response to androgen
D. Both males and females in response to oestrogen
| 0 |
Biology
|
Photochemical smog brings about.
A. Defoliation
B. Bleaching and blazing of foliage
c. Floral bud shedding
D. Discolouration and curling of petals
| 1 |
Chemistry
|
n the adjoining figure ABC is a triangle
in which \( \mathrm{D} \) and \( \mathrm{E} \) are the mid points \( \mathrm{AB} \)
and \( A C \) respectively if \( B C=4.6 \mathrm{cm} \) then
\( D E= \)
A. \( 9.2 \mathrm{cm} \)
B. 2.3 \( \mathrm{cm} \)
\( c .5 .0 \mathrm{cm} \)
D. \( 6.4 \mathrm{cm} \)
| 2 |
Maths
|
Consider the following statements with respect to lanthanides:
1. The basic strength of hydroxides of
lanthanides increases from \( \boldsymbol{L} \boldsymbol{a}(\boldsymbol{O} \boldsymbol{H})_{3} \)
to \( \boldsymbol{L} \boldsymbol{u}(\boldsymbol{O} \boldsymbol{H})_{3} \)
2. The lanthanide ions
\( L u^{3+}, Y b^{2+} \) and \( C e^{4+} \) are diamagnetic.
Which of the statement(s) given above is/are correct?
A. 1 only
B. 2 only
c. Both 1 and 2
D. Neither 1 nor 2
| 1 |
Chemistry
|
If \( \boldsymbol{u}=\mathbf{3}-\mathbf{5} \boldsymbol{i} \) and \( \boldsymbol{v}=-\boldsymbol{6}+\boldsymbol{i}, \) then the
value of \( (u+v)^{2} \) is
A. \( -7+24 i \)
B. \( 9+8 i \)
\( \mathrm{c} \cdot 9+16 i \)
D. \( 25-24 i \)
| 2 |
Maths
|
An uncharged metal object \( M \) is
insultated from its surroundings.A
positively charges metal sphere \( \boldsymbol{S} \) is
then brought near to \( M . \) Which diagram
illustrate the resultant distribution of
charge on \( S \) and \( M \)
\( A \)
в.
\( c \)
D.
| 3 |
Physics
|
A plano convex lens of focal length 30 \( \mathrm{cm} \) has its plane surface silvered. An object is placed \( 40 \mathrm{cm} \) from the lens on
the convex side. The distance of the
image from the lens is:
\( A \cdot 18 \mathrm{cm} \)
B. 24 \( \mathrm{cm} \)
\( c .30 \mathrm{cm} \)
D. \( 40 \mathrm{cm} \)
| 3 |
Physics
|
If \( f(x) \) is a polynomial in \( x, \) then
the second derivative of \( f\left(e^{x}\right) \) at \( x=1 \)
is
A \( \cdot e f^{\prime \prime}(e)+f^{\prime}(e) \)
B . \( \left(f^{\prime \prime}(e)+f^{\prime}(e)\right) e^{2} \)
c. \( e^{2} f^{\prime \prime}(e) \)
D. \( \left(f^{\prime \prime}(e) e+f^{\prime}(e)\right) e \)
| 2 |
Maths
|
Who is know as father of Genetics?
| 0 |
Biology
|
\( H C l \) can be used to remove rust from
iron.
A. True
B. False
| 1 |
Chemistry
|
The degree of unsaturation in the
structure of the product is:
| 1 |
Chemistry
|
For the change, \( C_{\text {diamond}} \longrightarrow \)
\( C_{g r a p h i t e} ; \Delta H=-1.89 k J, \) if \( 6 g \) of
diamond
and \( 6 g \) of graphite are separately burnt
to yield \( C O_{2} \) the heat liberated in first
case is:
A. Less than in the second case by \( 1.89 k J \)
B. Less than in the second case by \( 11.34 k J \)
c. Less than in the second case by \( 14.34 k J \)
D. More than in the second case by \( 0.945 k J \)
| 1 |
Chemistry
|
A plano-convex lens fits exactly into a plano-concave lens. Their plane surface are parallel to each other. If lenses are
made of different materials of refractive
indices \( \mu_{1} \) and \( \mu_{2} \) and \( R \) is the radius
of curvature of the curved surface of the
lenses, then the focal length of the combination is
A.
\[
\frac{R}{2\left(\mu_{1}+\mu_{2}\right)}
\]
B.
\[
\frac{R}{2\left(\mu_{1}-\mu_{2}\right)}
\]
c. \( \frac{R}{\left(\mu_{1}-\mu_{2}\right)} \)
D. \( \frac{R}{\left(\mu_{2}-\mu_{1}\right)} \)
| 3 |
Physics
|
A square and a regular hexagon have equal perimeters. Their areas are in the
ratio:
A .2: 1
B. \( 2 \sqrt{3}: 1 \)
c. \( \sqrt{3}: 2 \)
D. 3: 2
| 2 |
Maths
|
Two unbiased dice are rolled once. Find
the probability of getting a doublet.
A \( \cdot \frac{1}{6} \)
B. \( \frac{3}{4} \)
\( c \cdot \frac{2}{3} \)
D.
| 2 |
Maths
|
\( P \) makes a bet with \( Q \) of 8 pounds to
120 pounds that three races will be won by the three horses \( A, B, C, \) against which the betting is 3 to 2,4 to \( 1, \) and 2 to 1 respectively. The first race having been a on by \( A \), and it being known that
the second race was won either by \( B \), or
by a horse \( D \) against which the betting
was 2 to 1 , find the value of \( P^{\prime} s \)
expectation.
| 2 |
Maths
|
Chemical equilibrium for a reversible
change means for:
This question has multiple correct options
A. the forward reaction proceeds as fast as the backward reaction, i.e., velocity of opposing reaction is equal
B. no change in concentration of reaction species with time
C . dynamic equilibrium
D. none of the above
| 1 |
Chemistry
|
List I contains either an action or an
observation. Match each of these,
respectively to the correct effect, or a reason from list II.
List 1 List II
\( a \)
. Two rotating discs
e. Generated force of in contact- friction is equal to are brought in contact-
coaxially
b. A contact force
exists between exists between
a rough surface and
body placed on it y placed on it d a partially into heat
Attributed to g. resultant of "
" I reaction and c. For a body on a rough
surface, maintaining
motion is easier
as compared to
initiating it normal coefficient of
friction between t the surfaces
Is \( \quad \) h. As kinetic friction \( \begin{array}{l}\text { d. Static friction is } \\ \begin{array}{l}\text { less than limiting } \\ \text { friction }\end{array} & \begin{array}{l}\text { h. AS } \\ \text { is less than static } \\ \text { friction }\end{array}\end{array} \)
\( A \cdot a-f, b-g, c-h, d-e \)
B. a-g, b-f, c-e, d-h
c. a-h, b-e, c-f, d-g
D. a-e
| 3 |
Physics
|
A card is drawn from the pack of 25
cards labelled with numbers 1 to 25
Write the sample space for this random experiment.
| 2 |
Maths
|
The distance of the point (1,-2,3)
from the plane \( \boldsymbol{x}-\boldsymbol{y}+\boldsymbol{z}=\mathbf{5} \)
measured parallel to the line whose direction cosines are proportional to
2,3,-5 is
A \( \cdot \frac{9}{7} \)
B. \( \frac{11}{7} \)
c. \( \frac{15}{7} \)
D. None of these
| 2 |
Maths
|
If \( |\vec{a}|=3,|\vec{b}|=4, \) then a value of \( \lambda \) for which \( \vec{a}+\lambda \vec{b} \) is perpendicular to \( \vec{a}- \) \( \lambda \vec{b} \) is
A \( \cdot \frac{9}{16} \)
B. \( \frac{3}{4} \)
\( c \cdot \frac{3}{2} \)
D. \( \frac{4}{3} \)
| 2 |
Maths
|
The correct order of decreasing polarity
¡s:
\( \mathbf{A} \cdot H F>S O_{2}>H_{2} O>N H_{3} \)
B \( \cdot H F>H_{2} O>S O_{2}>N H_{3} \)
\( \mathbf{C} \cdot H F>N H_{3}>S O_{2}>H_{2} O>H F \)
D. none of the above
| 1 |
Chemistry
|
The solution of the differential equation
\( \boldsymbol{x} \boldsymbol{y}^{2} \boldsymbol{d} \boldsymbol{y}-\left(\boldsymbol{x}^{3}+\boldsymbol{y}^{3}\right) \boldsymbol{d} \boldsymbol{x}=\mathbf{0} \) is
A \( \cdot y^{3}=3 x^{3}+c \)
B . \( y^{3}=3 x^{3} \log (c x) \)
c. \( y^{3}=3 x^{3}+\log (c x) \)
D. \( y^{3}+3 x^{3}+\log (c x) \)
| 2 |
Maths
|
Prove that if the lengths of two altitudes of a triangle are equal, then the triangle is isosceles.
| 2 |
Maths
|
The numbers of lone pair(s) on Xe in
\( X e F_{2} \) and \( X e F_{4} \) are, respectively:
A. 2 and 3
B. 4 and 1
c. 3 and 2
D. 4 and 2
| 1 |
Chemistry
|
Let \( \boldsymbol{A}=\{1,2,3, \dots, 10\} \) and \( B= \)
\( \{101,102,103, \dots, 1000\} . \) Then set \( A \)
and \( B \) are
A. Both finite sets
B. Infinite and finite set respectively
c. Both Infinite sets
D. Finite and infinite set respectively
| 2 |
Maths
|
The operating temperature of the filament of lamp is \( 2000^{\circ} \mathrm{C} \). The temperature coefficient of the material
of filament is \( 0.005 /^{\circ} \mathrm{C} \). If the
atmospheric temperature be \( 0^{\circ} C, \) the current in the \( 100 \mathrm{W} \) and \( 2000 \mathrm{V} \) lamp when it is switched on its nearest to:
A. 2.5
B. 0.05 A
c. 4.5 A
D. \( 5.5 \mathrm{A} \)
| 3 |
Physics
|
What is hybridization?
A. The mixing of two or more atomic orbitals to form new orbitals that describe the covalent bonding in molecules.
B. The mixing of electrons in the electron sea model to account for the number of bonds in a molecule.
C. The mixing of two or more atomic orbitals to form new orbitals that describe the location of electrons in
atoms.
D. The mixing of two or more molecules
E. The mixing of two or more atoms to make a new compound or molecule.
| 1 |
Chemistry
|
Draw. Wheatstone's bridge circuit and write the condition for its balance.
| 3 |
Physics
|
Albert Einstein used corpuscular theory to explain:
A \( . E=m c^{2} \)
B. The photoelectric effect
c. Quantisation of charge
D. magic of light
| 3 |
Physics
|
The resistivity of a wire varies with its
A . length
B. cross-section
c. mass
D. material
| 3 |
Physics
|
The Big Bang Theory explains:
A. the beginning of life
B. origin of the universe
c. law of Gravity
D. why the universe was created
| 3 |
Physics
|
Difference between oxidation and
reduction
| 1 |
Chemistry
|
Discuss the continuity of the following function \( : f(x)=\sin x . \cos x \)
| 2 |
Maths
|
\( f ; A \rightarrow B \) defined by \( f(x)=2 x+3 \)
and if \( \boldsymbol{A}=\{-\mathbf{2},-\mathbf{1}, \mathbf{0}, \mathbf{1}, \mathbf{2}\}, \boldsymbol{B}= \)
\( \{-1,1,3,5,7\}, \) then which of function
is f?
A. One-one
B. onto
c. Bijection
D. constant
| 2 |
Maths
|
Assertion
Agriculture output increased several
times after introduction of DDT.
Reason
DDT was the first insecticide used on a
wide scale.
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
|
If \( \vec{A}+\vec{B} \) is a unit vector along \( x \) -axis and \( \vec{A}=\hat{i}-\hat{j}+\hat{k} \) then what is \( \vec{B} ? \)
\( \mathbf{A} \cdot \hat{j}+\hat{k} \)
B. \( \hat{j}-\hat{k} \)
\( \mathbf{c} \cdot \hat{i}+\hat{j}+\hat{k} \)
D. \( \hat{i}+\hat{j}-\hat{k} \)
| 3 |
Physics
|
During the formation of \( N a C l \), transfer
of electron is from \( X \) orbital of \( N a \) to
the \( Y \) orbital of \( C l . \) Then \( X \) and \( Y \) are
respectively:
A. \( 3 s \) and \( 3 s \)
B. \( 3 s \) and \( 3 p \)
c. \( 3 p \) and \( 3 s \)
D. \( 3 p \) and \( 3 p \)
| 1 |
Chemistry
|
Give the characteristics of free energy.
| 1 |
Chemistry
|
What is the number of outcomes when
a coin is tossed and then a die is rolled
only in case a head is shown on the
coin?
A . 6
B. 7
c. 8
D. None of the above
| 2 |
Maths
|
The diagram in Fig. shows the displacement- time graph of a vibrating
body. Why is the amplitude of vibrations
gradually decreasing?
| 3 |
Physics
|
f \( \boldsymbol{P Q \perp P S}, \boldsymbol{P Q} \| \boldsymbol{S R}, \angle \boldsymbol{S O R}=\mathbf{2 8}^{\boldsymbol{o}} \)
and \( \angle Q R T=65^{\circ}, \) then find \( x \& y \)
| 2 |
Maths
|
Give reasons for the following observations:
(i) Leather gets hardened after tanning.
(ii) Lyophilic sol is more stable than Iyophobic sol.
(iii) It is necessary to remove \( \mathrm{CO} \) when ammonia is prepared by Haber's
process.
| 1 |
Chemistry
|
The atomic number of an element
having 12 neutrons and a mass number of 23 is equal to:
A. \( z=1 \)
B. \( z=12 \)
\( c \cdot z=10 \)
D. \( z=13 \)
| 1 |
Chemistry
|
Charge density is a measure of electric charge per unit volume of
space,
A. in one dimension
B. in two dimensions
c. in three dimensions
D. All of the above
| 3 |
Physics
|
One of the following represents feed
back inhibition
A. Reaction of snake venom with neuro - transmitter
B. Malate inhibiting succinic dehydrogenase
C . Cyanides inhibiting cytochrome a
D. Allosteric compound ATP inhibiting hexokinase enzyme
| 0 |
Biology
|
Simultaneous solubility of \( \boldsymbol{A} \boldsymbol{g} \boldsymbol{C} \boldsymbol{N} \boldsymbol{S}(\boldsymbol{a}) \)
and \( A g B r(b) \) in a solution of water will
be
\( \boldsymbol{K}_{s p_{(A g B r)}}=\mathbf{5} \times \mathbf{1 0}^{-13} \) and \( \boldsymbol{K}_{s p_{(A g C N S)}}= \)
\( 10^{-12} \)
A \( \cdot a=4.08 \times 10^{-7} \) mol litre \( ^{-1} ; b=8.16 \times 10^{-7} \) mollitre \( ^{-1} \)
В . \( a=4.08 \times 10^{-7} \) mol litre \( ^{-1} ; b=4.08 \times 10^{-7} \) mollitre \( ^{-1} \)
\( \mathbf{c} \cdot a=8.16 \times 10^{-7} \)mollitre\( ^{-1} ; b=4.08 \times 10^{-7} \)mollitre\( ^{-1} \)
D. None of these
| 1 |
Chemistry
|
Which of the following is the inverse of the proposition : 'If a number is a prime then it is odd"?
A. If a number is not a prime then it is odd
B. If a number is not a prime then it is not odd
c. If a number is not odd then it is not prime
D. If a number is odd then it is a prime
| 2 |
Maths
|
A force of \( 10 N \) is applied along \( x- \) axis calculate amount of work done to
displace body from (2,3) to (-1,4)
| 3 |
Physics
|
What is the activation energy for the reverse of this reaction?
\( N_{2} O_{4}(g) \longrightarrow 2 N O_{2}(g) \)
Data for the given reaction is: \( \Delta \boldsymbol{H}= \)
\( +54 k J \) and \( E_{f}=+57.2 k J \)
A \( .-54 k J \)
в. \( +3.2 k J \)
\( \mathbf{c} .+60.2 k J \)
D. \( +111.2 k J \)
| 1 |
Chemistry
|
An increase in pressure will change the equilibrium by:
A. shifting to the side where a smaller volume results
B. shifting to the side where a larger volume results
C. favoring the endothermic reaction
D. favoring the exothermic reaction
E. none of the above
| 1 |
Chemistry
|
\( \underset{92}{238} U(I I I B) \) changes to \( 284 T h \) by emission of \( \alpha \) -particle. Daughter element will be in:
A . IIIB
в. \( I B \)
c. \( V B \)
D. IIA
| 1 |
Chemistry
|
Ratio of \( S I \) unit of torque to its CGS unit is
\( \mathbf{A} \cdot 10^{5}: 1 \)
B . \( 10^{7}: 1 \)
\( \mathbf{c} \cdot 10^{6}: 1 \)
D. \( 10^{17}: 1 \)
| 3 |
Physics
|
Arrange the elements in increasing order of atomic radius \( \mathrm{Na}, \mathrm{Rb}, \mathrm{K}, \mathrm{Mg} \)
A. \( \mathrm{Na}<\mathrm{K}<\mathrm{Mg}<\mathrm{Rb} \)
B. \( K<N a<M g<R b \)
\( \mathrm{c} \cdot \mathrm{Mg}<\mathrm{Na}<\mathrm{K}<\mathrm{Rb} \)
D. \( R b<K<M g<N a \)
| 1 |
Chemistry
|
Explain why apparatus for laboratory preparation of hydrogen should be air tight and away from a naked flame?
| 1 |
Chemistry
|
Subtract the sum of \( 36-4 m-7 x^{2} \)
and \( 2 t-3 m-4 x^{2} \) from the sum of
\( 96+2 m-3 x^{2} \) and \( -36+m+4 x^{2} \)
| 2 |
Maths
|
SONAR can be used
A. for determination of a depth of a sea
B. in the ships to locate underwater rocks, icebergs
C. to measure distance, direction and speed of underwater objects, such as hills,valleys etc
D. for all the above
| 3 |
Physics
|
Observe the following reaction \( : 2 A+ \)
\( B \rightarrow C . \) The rate of formation of \( C \) is
\( 2.2 \times 10^{-3} \) mol \( l^{-1} \) min \( ^{-1} . \) The is the
value of \( \frac{-\boldsymbol{d}[\boldsymbol{A}]}{\boldsymbol{d} \boldsymbol{t}}\left(\text { in } \boldsymbol{m o l} \boldsymbol{l}^{-1} \boldsymbol{m} \boldsymbol{i} \boldsymbol{n}^{-1}\right) \)
A \( .2 .2 \times 10^{-3} \)
В. \( 1.1 \times 10^{-3} \)
c. \( 4.4 \times 10^{-3} \)
D. \( 5.5 \times 10^{-3} \)
| 1 |
Chemistry
|
A string of length \( 0.5 m \) carries a bob
with a period \( 2 \pi s . \) Calculate the angle of
inclination of string with vertical and
tension in the string.
| 3 |
Physics
|
Exactly 6 on each of 3 successive throws
A \( \cdot \frac{5^{3}}{16^{3}} \)
в. \( \frac{5}{16^{3}} \)
c. \( \frac{5^{2}}{16^{3}} \)
D. \( \frac{1}{16^{3}} \)
| 2 |
Maths
|
Q Type your questior
perpendicular to a constantmagnetic
field of magnitude \( 1 \mathrm{T} \) as shown in figure. One end of a resistanceless rod is
hinged at thecentre of ring 0 and other
end is placed on the ring. Now rod is rotated with constant angular velocity \( 4 \mathrm{rad} / \mathrm{s} \) by some external agent and circuit is connected as shown in the
figure, initially switch is open andcapacitor is uncharged. If switch S
is closed at \( t=0, \) then calculate heat
\( \operatorname{loss}(\operatorname{in} \mu \mathrm{J}) \) from the resistor \( \boldsymbol{R}_{1} \) from \( \mathrm{t} \)
\( =0 \) to the instant when voltage across the capacitor becomes half of steady state voltage. (Assume plane of ring to be horizontal and friction to be absent
at all the contacts)
| 3 |
Physics
|
The construction of \( \triangle A B C \) in which
\( A B=6 \mathrm{cm}, \angle A=30^{\circ}, \) is not possible
when \( \boldsymbol{A C}+\boldsymbol{B C}= \)
\( \mathbf{A} \cdot 6.3 \mathrm{cm} \)
B. \( 7.2 \mathrm{cm} \)
\( c .5 .6 \mathrm{cm} \)
D. \( 6.9 \mathrm{cm} \)
| 2 |
Maths
|
Represent the following data using a suitable graphical representation.
\( \begin{array}{lllll}\text { class- } & 0- & 5- & 10- & 1 \\ \text { intervals } & 5 & 10 & 15 & 2\end{array} \)
Frequency \( \begin{array}{ll}\text { 1. } & 5\end{array} \) 6
| 2 |
Maths
|
Consider the following pairs of quantities:
1. Young's modulus; pressure
2. Torque; energy
3. Linear momentum; work
4. Solar day; light year In which cases are the dimensions,
within a pair, same?
A . 1 and 3
B. 1 and 4
\( c \cdot 1 \) and 2
D. 2 and 4
| 3 |
Physics
|
Select the correct answer from the
choices given below. The three states of
matter are classified on the basis of
differences of certain
A. chemical properties
B. physical properties
c. physical and chemical properties
D. none of the above
| 1 |
Chemistry
|
\( \boldsymbol{T} \boldsymbol{i}^{3+}(\boldsymbol{a} \boldsymbol{q}) \) is purple while \( \boldsymbol{T} \boldsymbol{i}^{4+}(\boldsymbol{a} \boldsymbol{q}) \) is
colourless because:
Tetrahedral field
A. there is no crystal field effect in \( T i^{4-} \)
B. there energy difference between \( t_{2 g} \) and \( e_{g} \) of Tir\{ \( 4-3 \$ \$ \) is quite high and does not fall in the visible region
\( \mathrm{C} \cdot T i^{4-} \) has \( d^{0} \) configuration.
D. \( T i^{4-} \) is very stabilization energy for \( \left[C o F_{6}\right]^{3-} \) in terms of parameter Dq is - \( (\Delta=100 D q) \)
| 1 |
Chemistry
|
A perpendicular force is applied to a
certain area and produces a pressure \( \boldsymbol{P} \) If the same force is applied to a twice bigger area, the new pressure on the surface is:
A \( \cdot \frac{P}{2} \)
в. \( \frac{P}{3} \)
c. \( \frac{P}{4} \)
D. none
| 3 |
Physics
|
Observe the following patterns \( \mathbf{1}=\frac{\mathbf{1}}{\mathbf{2}}(\mathbf{1} \times(\mathbf{1}+\mathbf{1})) \)
\( \mathbf{1}+\mathbf{2}=\frac{\mathbf{1}}{\mathbf{2}}(\mathbf{2} \times(\mathbf{2}+\mathbf{1})) \)
\( \mathbf{1}+\mathbf{2}+\mathbf{3}=\frac{\mathbf{1}}{\mathbf{2}}(\mathbf{3} \times(\mathbf{3}+\mathbf{1})) \)
\( \mathbf{1}+\mathbf{2}+\mathbf{3}+\mathbf{4}=\frac{\mathbf{1}}{\mathbf{2}}(\mathbf{4} \times(\mathbf{4}+\mathbf{1})) \)
and find the value of each of the
following
\[
\mathbf{1}+\mathbf{2}+\mathbf{3}+\mathbf{4}+\mathbf{5}+\ldots+\mathbf{5 0}
\]
| 2 |
Maths
|
Write an essay on growth regulation in plants.
| 0 |
Biology
|
If \( \mathbf{3} \boldsymbol{A}-\mathbf{2 B}=\left(\begin{array}{cc}\mathbf{1} & \mathbf{- 2} \\ \mathbf{3} & \mathbf{0}\end{array}\right) \) and \( \mathbf{2} \boldsymbol{A}- \)
\( \mathbf{3} \boldsymbol{B}=\left(\begin{array}{cc}\mathbf{- 3} & \mathbf{3} \\ \mathbf{1} & \mathbf{- 1}\end{array}\right) \) then find \( \boldsymbol{B} \)
| 2 |
Maths
|
The transfer of energy in mechanical waves happens through molecules
A. through collisions
B. through interactions
c. through cohesive forces
D. through electrical forces
| 3 |
Physics
|
How many meiotic divisions are required for the formation of 50
zygotes?
A. 62
B. 63
\( c \cdot 61 \)
D. 50
| 0 |
Biology
|
Which among the given haloalkanes develop colour when exposed to light?
A. \( R-B r \) and \( R-C l \)
B. \( R-I \) and \( R-F \)
c. \( R-C l \) and \( R-B r \)
D. \( R-B r \) and \( R-I \)
| 1 |
Chemistry
|
The density of a \( 3 \mathrm{M} \) solution of NaCl is 1.25g/ml. Calculate the molality of the solution.
| 1 |
Chemistry
|
The total number of electrons that take
part in forming the bond in \( N_{2} \) is :
\( A \cdot 2 \)
B. 4
\( c \cdot 6 \)
D. 10
| 1 |
Chemistry
|
The following reactions take place in the blast furnace in the preparation of impure iron.Identify the reaction pertaining to the formation of the slag.
A \( \cdot 2 C(s)+O_{2}(g) \rightarrow 2 C O(g) \)
B. \( F e_{2} O_{3}(s)+3 C O(g) \rightarrow 2 F e(\ell)+3 C O_{2}(g) \)
c. \( C a C O_{3}(s) \rightarrow C a O(s)+C O_{2}(g) \)
D. \( \operatorname{CaO}(s)+\operatorname{Si} O_{2}(s) \rightarrow \operatorname{CaSiO}_{3}(s) \)
| 1 |
Chemistry
|
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.