text
stringlengths 1
4.32k
| label
int64 0
3
| label_text
stringclasses 4
values |
|---|---|---|
Examine the continuity of the function
\[
\boldsymbol{f}(\boldsymbol{x})=\left\{\begin{array}{ll}
\frac{\log \boldsymbol{x}-\log \mathbf{7}}{\boldsymbol{x}-\mathbf{7}} & \text { for } \boldsymbol{x} \neq \mathbf{7} \\
\mathbf{7}, & \text { for } \boldsymbol{x}=\mathbf{7}
\end{array}\right.
\]
at \( x=7 \)
| 2 |
Maths
|
Histogens capping root apical meristem is
A. Dermatogen
B. Calyptrogen
c. Periblem
D. Plerome
| 0 |
Biology
|
time taken to empty the tank to half its
original value. \( \left(\boldsymbol{g}=\mathbf{1 0 m} / \boldsymbol{s}^{2}\right) \)
| 3 |
Physics
|
What is the direction of force on the loop if \( \frac{d i}{d t} \) is positive
| 3 |
Physics
|
Body A is in contact with body B, which is in contact with body C. The
temperature of A is more than B which
is more than C. Which of the following is the correct direction of flow in
accordance with the zeroth law of
thermodynamics.
\( A \cdot A \) to \( B \) to \( c \)
B. A to B and C to B
\( c \cdot c \) to \( B \) to \( A \)
D. B to A and B to C
| 3 |
Physics
|
One surface of a lens is convex and the
other is concave. If the radii of
curvatures are \( \boldsymbol{R}_{1} \) and \( \boldsymbol{R}_{2}, \) then the lens
Will be convex, if :
A. \( R_{1}<R_{2} \)
в. \( R_{1}>R_{2} \)
c. \( R_{1}=R_{2} \)
D. None of these
| 3 |
Physics
|
Verify the following:
\( \frac{-13}{24} \times\left(\frac{-12}{5} \times \frac{35}{36}\right)= \)
\( \left(\frac{-13}{24} \times \frac{-12}{5}\right) \times \frac{35}{36} \)
| 2 |
Maths
|
The quantities \( \frac{1}{\log _{4} 3}, \log _{3} 8, \frac{1}{\log _{16} 3} \) are
in
A. A.P.
в. G.P.
c. н.P
D. None of these
| 2 |
Maths
|
Charges of \( q \) coulomb but of alternately
opposite signs are placed along the \( x- \) axis at \( x=1, x=2, x=4, \ldots \) and so on. The
electric potential at the point \( x=0 \) due to
all these charges will be
A \( \cdot \frac{q}{2 \pi \epsilon_{0}} \)
в. \( \frac{q}{3 \pi \epsilon_{0}} \)
c. \( \frac{2 q}{3 \pi \epsilon_{0}} \)
D. \( \frac{q}{6 \pi \epsilon_{0}} \)
| 3 |
Physics
|
A train is approaching the platform with a speed of \( 4 m s^{-1} \). Another train is
leaving the platform with the same
speed. The velocity of sound is \( 320 m s^{-1} \)
If both the trains sound their whistles
at frequency \( 230 \mathrm{Hz} \), the number of beats heard per second will be :
\( A \cdot 10 \)
B. 8
c. 7
D. 6
| 3 |
Physics
|
Which of the following reactions are correctly represented? This question has multiple correct options
\( \mathbf{A} \)
\[
\mathrm{CH}_{3}-\mathrm{CH}_{2}-\mathrm{CH}=\mathrm{CH}_{2} \frac{(\mathrm{i}) \mathrm{D}^{+}}{(\mathrm{iij}) \mathrm{H}_{2} \mathrm{O}} \mathrm{CH}_{3}-\mathrm{CH}_{2}-\underset{\mathrm{OH}}{_{\mathrm{I}}}-\mathrm{CH}-\mathrm{CH}_{2} \mathrm{D}
\]
B.
\[
\mathrm{CH}_{3}-\mathrm{CH}_{2}-\mathrm{CH}=\mathrm{CH}_{2} \frac{(\mathrm{i}) \mathrm{H}^{+}}{(\mathrm{ii}) \mathrm{D}_{2} \mathrm{O}} \mathrm{CH}_{3}-\mathrm{CH}_{2}-\mathrm{CH}_{2}-\mathrm{CH}_{2} \mathrm{O}
\]
\( c \)
\[
\mathrm{CH}_{3}-\mathrm{CH}_{2}-\mathrm{CH}=\mathrm{CH}_{2} \frac{(\mathrm{i}) \mathrm{H}^{+}}{(\mathrm{ij}) \mathrm{H}_{2} \mathrm{O}} \mathrm{CH}_{3}-\mathrm{CH}_{2}-\mathrm{CH}_{2}-\mathrm{CH}_{2} \mathrm{O}
\]
D.
\[
\mathrm{CH}_{3}-\mathrm{CH}_{2}-\mathrm{CH}=\mathrm{CH}_{2} \frac{(\mathrm{i}) \mathrm{D}^{+}}{(\mathrm{ii}) \mathrm{D}_{2} \mathrm{O}} \mathrm{CH}_{3}-\mathrm{CH}_{2}-\underset{\mathrm{OD}}{_{1}}-\mathrm{CH}-\mathrm{CH}_{2} \mathrm{D}
\]
| 1 |
Chemistry
|
\( 5 \frac{2}{3}= \)
A \( \cdot \frac{13}{3} \)
B. 30
c. \( \frac{17}{3} \)
D. 10
| 2 |
Maths
|
If mean: median of a certain data is 2
3, what is the ratio of its mode and
mean?
A .3: 2
B. 5: 2
\( c .3: 5 \)
D. 2: 3
| 2 |
Maths
|
In the figure, find the value of \( x \)
\( \mathbf{A C}=\mathbf{C D} \)
| 2 |
Maths
|
Assertion
Symptoms of emphysema develops when a person living on plains ascends
and stays on a mountain.
Reason
Air pressure and partial pressure of oxygen falls with the rise in altitude.
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
| 0 |
Biology
|
In which octant, does (-4,2,3) lie?
A . Ill
в. vıи
\( c \cdot v \)
D. I
| 2 |
Maths
|
If the largest angle of a triangle is twice the sum of the other two and the
smallest one is one-fourth of the
largest, then the angles are:
\( \begin{array}{l}\text { A } \cdot 120^{\circ}, 40^{\circ}, 20^{\circ} \\ ^{\circ}\end{array}, 12^{\circ}, 10^{\circ}, 1^{\circ} \)
в. \( 120^{\circ}, 30^{\circ}, 30^{\circ} \)
c. \( 90^{\circ}, 45^{\circ}, 45^{\circ} \)
D. \( 90^{\circ}, 60^{\circ}, 30^{\circ} \)
| 2 |
Maths
|
For what value of \( \mathrm{m}, \) the points (3,5)
\( (m, 6) \) and \( \left(\frac{1}{2}, \frac{15}{2}\right) \) are collinear?
| 2 |
Maths
|
If \( \left(p^{2}-2 p+1\right) x^{2}-\left(p^{2}-3 p+2\right) x+ \)
\( p^{2}-1=0 \) has more then two roots
then \( p= \)
| 2 |
Maths
|
A magnifying glass has \( f=12 \mathrm{cm} . \) To produce maximum angular magnification the object should be placed at a distance of (Least distance
of clear vision \( =25 \mathrm{cm} \) ):
\( A \cdot 71 \mathrm{cm} \)
B. \( 68 \mathrm{cm} \)
c. \( 8.4 \mathrm{cm} \)
D. 8.1 \( \mathrm{cm} \)
| 3 |
Physics
|
Which of the following does not show oscillatory motion?
A. Swingg
B. Clock
c. See-saw
D. Pendulum
| 3 |
Physics
|
Find the direction cosines of the vector
joining the points \( A(1,2,-3) \) and \( B(-1,-2,1) \) directed from \( A \) to \( B \)
| 2 |
Maths
|
Law of constant composition is same as
the law of:
A. conservation of mass
B. conversation of energy
c. multiple proportion
D. definite proportion
| 1 |
Chemistry
|
The population of a village increases continuously at the rate proportional to the number of its inhabitants present at
any time. If the population of the village was 20,000 in 1999 and 25000 in the year \( 2004, \) what will be the population of the village in \( 2009 ? \)
| 2 |
Maths
|
When the price of a pressure cooker was increased by \( 15 \% \), the sale of pressure cooker decreased by \( 15 \% \) What was the net effect on the sales?
A. No effect
B. 15 \% increase
c. \( 2.25 \% \) increase
D. 2.25 \% decrease
| 2 |
Maths
|
Which of the following pairs has both members from the same group of periodic table?
A. \( M g, B a \)
в. \( M g, N a \)
c. \( M g, C u \)
D. \( M g, K \)
| 1 |
Chemistry
|
The colour of Lanthanoids and Actinoids
is due to:
A. s-ftransitions
B. p-f transitions
c. d-f transitions
D. f-f transitions
| 1 |
Chemistry
|
In the absence of atmosphere, the sky
appears:
A . coloured
B. blue
c. indigo
D. black
| 3 |
Physics
|
What are \( X \) and \( Y \) in the following reaction? \( \boldsymbol{C F}_{2} \boldsymbol{C l}_{2} \stackrel{\boldsymbol{u v}}{\longrightarrow} \boldsymbol{X}+\boldsymbol{Y} \)
\( \mathbf{A} \cdot \dot{C} l C F_{2}, \dot{C l} \)
в. \( C_{2} F_{4}, C l_{2} \)
c. \( C \dot{F} C l_{2}, \dot{F} \)
\( \mathbf{D} \cdot: C C l_{2}, F_{2} \)
| 1 |
Chemistry
|
A body falls through a distance 'h' in a
certain time on the earth. Then if the
same body is related on another planet having mass and radius twice as that of the earth, the distance through which it falls in the same time is:
\( A \cdot \frac{h}{2} \)
в. \( 2 h \)
\( c \cdot h \)
D. \( 4 h \)
| 3 |
Physics
|
How are isotopes of the same element
different?
A. They will have different locations on the periodic table.
B. They will have different numbers of electrons.
C. They will have undergo different chemical reactions.
D. They have different numbers of protons
E. They have different numbers of neutrons.
| 1 |
Chemistry
|
Which of the following gives blue flame when burn and is not very soluble in
water?
A. \( O_{2} \)
в. \( C O_{2} \)
c. \( N_{2} \)
D. \( H_{2} S O_{4} \)
ह. \( H e \)
| 1 |
Chemistry
|
Which of the following are liquid at
room temperature?
A. Alkenes having \( 5-11 \) carbon atoms per molecule
B. Alkenes having \( 5-15 \) carbon atoms per molecules
C. Alkynes having \( 5-13 \) carbon atoms per molecules
D. All of these
| 1 |
Chemistry
|
White light is passed through a dilute solution of potassium permagnate. The spectrum produced by the emergent light is
A. Band emission spectrum
B. Line emission spectrum
c. Band absorption spectrum
D. Line absorption spectrum
| 3 |
Physics
|
The molar conductance of a solution
with dilution while its
specific conductance with
dilution.
A. increases, decreases
B. decreases, decreases
c. increases, increases
D. decrease, increases
| 1 |
Chemistry
|
In certain polar solvents \( \boldsymbol{P} \boldsymbol{C l}_{5} \)
undergoes an ionisation reaction in
which \( C l^{-} \) ion leaves one \( P C l_{5} \)
molecule and attaches itself to another
\( 2 P C l_{5} \rightleftharpoons P C l_{4}^{+}+P C l_{6}^{-} \)
What are the changes in the geometrical shapes that occur in this ionisation?
A. Trigonal Bipyramidal to tetrahedral and octahedral
B. Trigonal Bipyramidal to pentagonal planar and square planar
c. Pentagonal planar to tetrahedral and octahedral
D. None of these
| 1 |
Chemistry
|
An object is placed at a distance of 40
\( \mathrm{cm} \) in front of a concave mirror of focal
length \( 20 \mathrm{cm} . \) The image produced is:
A. real, inverted and smaller in size
B. real, inverted, and of same size
c. real and erect
D. virtual and inverteo
| 3 |
Physics
|
Among the following which is not
isoelectronic with others?
\( \mathbf{A} \cdot H F \)
в. \( H_{2} \),
c. \( N H_{3} \)
D. \( C O \)
| 1 |
Chemistry
|
Finely powdered clay and limestone mixed with water is introduced in:
A. drum mixer
B. rotary kiln
c. pan-type granulator
D. dryer
| 1 |
Chemistry
|
The ratio of root mean square velocity to the average velocity of a gas molecule at a particular temperature is:
A .1 .086: 1 \)
B . 1: 1.086
c. 2: 1.086
D. 1.086: 2
| 1 |
Chemistry
|
When a \( 2 \mu \mathrm{C} \) charge is carried from point \( A \) to point \( B, \) the amount of work done by the electric field is \( 50 \mu \). What
is the potential difference and which point is at a higher potential?
A \( .25 V, B \)
в. \( 25 V, A \)
\( c \cdot 20 V, B \)
D. Both are at same potential
| 3 |
Physics
|
Statement: Acids containing hydrogen
and a non-metallic element other than
oxygen are hydroacids.
State whether the given statement is
true or false.
A. True
B. False
| 1 |
Chemistry
|
What is the percentage of p-character of hybrid orbitals of carbon in methane,
ethene and ethyne respectively?
A. 75,66,50
В. 50,66,75
\( \mathbf{c} \cdot 25,33,50 \)
D. 50,33,25
| 1 |
Chemistry
|
\( \boldsymbol{K}_{a 1}, \boldsymbol{K}_{a 2} \) and \( \boldsymbol{K}_{a 3} \) values for \( \boldsymbol{H}_{3} \boldsymbol{P} \boldsymbol{O}_{4} \) are
\( 10^{-3}, 10^{-8} \) and \( 10^{-12} \) respectively. If
\( \boldsymbol{K}_{\boldsymbol{w}}\left(\boldsymbol{H}_{2} \boldsymbol{O}\right)=\mathbf{1 0}^{-14}, \) then which is
correct?
A. Dissociation constant of \( H P O_{4}^{2-} \) is \( 10^{-12} \)
B. \( K_{b} \) of \( H P O_{4}^{2-} 10^{-6} \)
C. \( K_{b} \) of \( H_{2} P O_{4}^{-} 10^{-1} \)
D. All are correct
| 1 |
Chemistry
|
Two objects with unlike charges will:
A. attract each other
B. repel each other
C. neither attract nor repel
D. either attract or repel
| 3 |
Physics
|
In a triangle \( A B C, \) the least value of \( \tan ^{2} \frac{A}{2}+\tan ^{2} \frac{B}{2}+\tan ^{2} \frac{C}{2} \) is
\( \mathbf{A} \cdot \mathbf{1} \)
B.
\( c \cdot \sqrt{3} \)
D. \( \frac{2}{3} \)
| 2 |
Maths
|
In Amoeba which of the following helps in digestion?
A. Pseudopodia
B. Cytoplasm
c. Nucleus
D. vacuole
| 0 |
Biology
|
Which of the following process is used for concentration of ore?
A. Froth flotation
B. Electrolytic methods
c. smelting
D. Hoop's process
| 1 |
Chemistry
|
The moment of force of \( 5 N \) about a
point \( \boldsymbol{P} \) is \( 20 \mathrm{Nm} \). Calculate the
distance of point of application of the
from the point \( \boldsymbol{P} \)
\( A .3 m \)
в. \( 0.6 m \)
\( c .4 m \)
D. \( 10 m \)
| 3 |
Physics
|
Which pair belongs to basidiomycetes:
A. Puffball and Claviceps
B. Peziza and Stink Horn
C. Morchella and Mushroom
D. Bird Nest Fungus and Puffball
| 0 |
Biology
|
Numerical value of work done is
maximum in case of:
\( \mathbf{A} \cdot C_{3} H_{8}(g)+50_{2}(g) \longrightarrow 3 C O_{2}(g)+4 H_{2} O(l) \)
B. \( C(s)+C O_{2}(g)+\longrightarrow 2 C O(g) \)
\( \mathbf{c} \cdot F e(s)+4 H_{2} O(g)+\longrightarrow F e_{3} O_{4}(s)+4 H_{2}(g) \)
\( \mathbf{D} \cdot N H_{4} C l(s) \longrightarrow N H_{3}(g)+H C l(g) \)
| 1 |
Chemistry
|
Starting from a bare rock or a site of
volcanic eruption trace the organisms
that participate in the process of succession.
| 0 |
Biology
|
Cathode rays of velocity \( 10^{6} m s^{-1} \)
describe an approximate circular path of radius \( 1 \mathrm{m} \) in an electric field of
\( 400 V c m^{-1} . \) If the velocity of cathode
rays is doubled, the value of the electric
field needed so that the rays describe the same circular path is
A. \( 1200 V c m^{-1} \)
B. \( 100 \mathrm{Vcm}^{-1} \)
c. \( 800 V c m^{-1} \)
D. \( 1600 V c m^{-1} \)
| 3 |
Physics
|
How many nodal planes are present in
\( 4 d_{z^{2}} ? \)
\( A \cdot 2 \)
B.
c. zero
D. 3
| 1 |
Chemistry
|
A solution \( (x, y) \) of \( x^{2}+2 x \sin x y+1= \)
\( \mathbf{0} \) is
This question has multiple correct options
A \( .(1,0) \)
В. \( (1,7 \pi / 2) \)
D. (-1,0)
| 2 |
Maths
|
Two nucleons are at a separation of one Fermi. Protons have a charge of \( +1.6 \times \)
\( 10^{-19} \) C. The net nuclear force between
them is \( F_{1}, \) if both are neutrons, \( F_{2} \) if
both are protons and \( F_{3} \) if one is proton and the other is neutron. Then.
A \( . F_{1}=F_{2}>F_{3} \)
в. \( F_{1}=F_{2}=F_{3} \)
c. \( F_{1}<F_{2}<F_{3} \)
D. \( F_{1}>F_{2}>F_{3} \)
| 3 |
Physics
|
Which bonds stabilizes the fibrous and
globular shapes of proteins? This question has multiple correct options
A. Hydrogen bonds
B. Covalent bonds
c. Disulphide linkages
D. Van der Waals forces
| 1 |
Chemistry
|
is a part of the brain involved in memory, emotion and fear.
A. Amygdala
B. limbic System
c. Thalamus
D. Hippocampus
| 0 |
Biology
|
The figure gives experimentally measured B vs. H variation in a
ferromagnetic material. The retentivity
co-ercivity and saturation, respectively, of the material are :
A. \( 1.5 T, 50 A / m \) and 1.07
B. \( 150 A / m, 1.0 T \) and \( 1.5 T \)
c. \( 1.5 T, 50 A / m \) and 1.07
D. \( 1.0 T, 50 A / m \) and 1.57
| 3 |
Physics
|
Assertion(A): Let \( \boldsymbol{f}(\boldsymbol{x}) \) be twice
differentiable function such that
\( \boldsymbol{f}^{\prime \prime}(\boldsymbol{x})=-\boldsymbol{f}(\boldsymbol{x}) \) and \( \boldsymbol{f}^{\prime}(\boldsymbol{x})=\boldsymbol{g}(\boldsymbol{x}) . \) If
\( \boldsymbol{h}(\boldsymbol{x})=[\boldsymbol{f}(\boldsymbol{x})]^{2}+[\boldsymbol{g}(\boldsymbol{x})]^{2} \) and \( \boldsymbol{h}(\mathbf{1})=\mathbf{8} \)
\( \operatorname{then} h(2)=8 \)
Reason (R): Derivative of a constant
function is zero.
A. Both A and R are true R is correct reason of A
B. Both A and R are true R is not correct reason of A
c. A is true but R is false
D. A is false but R is true
| 2 |
Maths
|
Write the name of monomers used for
getting the following polymers:
(i) Teflon
(ii) Buna-N
| 1 |
Chemistry
|
Find the value of unknown \( x \) in the
following diagram.
| 2 |
Maths
|
Optically active substances are those
which
A. produce polarized light
B. rotate the plane of polarization of the polarized light.
c. produce double refraction
D. convert a plane polarized light into circularly polarized light
| 3 |
Physics
|
The increase in pressure required to decrease the 200 litres volume of a
liquid by \( 0.004 \% \) in kPa is : (bulk modulus of the liquid \( =2100 M P a) \)
A . 8.4
B. 84
c. 92.4
D. 168
| 3 |
Physics
|
Balmer gives an equation for wavelength of visible radiation of \( \mathrm{H} \) spectrum as \( \lambda=\frac{k n^{2}}{n^{2}-4} . \) The value of
in terms of Rydberg's constant R is
\( A \cdot R \)
B. 4R
c. \( \frac{R}{4} \)
D. \( \frac{4}{R} \)
| 3 |
Physics
|
For \( \boldsymbol{f}(\boldsymbol{x})=\boldsymbol{x}^{2}+\boldsymbol{x}+\mathbf{1} ; \boldsymbol{x} \in[-1,1], \) the
constant of Meanvalue theorem is
\( \mathbf{A} \cdot \mathbf{0} \)
B. \( \frac{1}{2} \)
\( c \cdot-\frac{1}{2} \)
D.
| 2 |
Maths
|
The kinetic energy of an electron, which is accelerated in the potential
difference of \( 100 V, \) is
A . \( 1.6 \times 10^{-10} \mathrm{J} \)
в. \( 1.6 \times 10^{8} \mathrm{J} \)
c. \( 1.6 \times 10^{-17} J \)
D. \( 1.6 \times 10^{-18} \mathrm{J} \)
| 3 |
Physics
|
By increasing the number of turns in the coil, the strength of the magnetic field:
A . decreases
B. increases
c. first decreases then increases
D. remains unchanged
| 3 |
Physics
|
The electronegativity order increases in the order:
A. \( \mathrm{C}, \mathrm{N}, \mathrm{Si}, \mathrm{P} \)
B. \( N, \) Si, \( C, P \)
c. \( \mathrm{si}, \mathrm{P}, \mathrm{C}, \mathrm{N} \)
D. \( P, \) Si, \( N, C \)
| 1 |
Chemistry
|
\( \mathbf{1} . \mathbf{3}+\mathbf{3 . 5}+\mathbf{5 . 7}+\ldots \ldots \ldots . .+(\mathbf{2 n}- \)
1) \( (2 n+1)=\frac{n\left(4 n^{2}+6 n-1\right)}{3} \) is true
for
A. Only natural number \( n \geq 4 \)
B. Only natural numbers 3 \( \leq n \leq 10 \)
c. All natural numbers n
D. None
| 2 |
Maths
|
Ozone reacts with \( \boldsymbol{K}_{\mathbf{4}}\left[\boldsymbol{F} \boldsymbol{e}(\boldsymbol{C} \boldsymbol{N})_{\mathbf{6}}\right] \) to
form:
A. \( F e_{2} O_{3} \)
B \( \cdot \operatorname{Fe}(O H)_{3} \)
\( \mathbf{c} \cdot F e(O H)_{2} \)
D. \( K_{3}\left[F e(C N)_{6}\right] \)
| 1 |
Chemistry
|
The wavelength of a certain electron
transition in the hydrogen spectrum is 4864 A. Identify the transition.
A. Third line Balmer
B. First line Lyman
c. First line Paschen
D. second line Balmer
| 3 |
Physics
|
Reducing sugar can reduce:
A. Aldehydes to alcohols
B. Ferric salts to ferrous salts
C. Chlorates to chlorides
D. Fehling solution to cuprous oxide
| 1 |
Chemistry
|
Q Type your question
(density \( \rho) \) moves with a velocity \( ^{\prime} v^{\prime} \)
inside the tube and comes to rest inside
the bubble. The surface tension of the
soap solution is \( T . \) After some time the
bubble, having grown to a radius' \( r^{\prime} \)
separates from the tube. Find the value
of ' \( r^{\prime} \). Assume that \( r>>b \) so that you
can consider the air to be falling
normally on the bubble's surface.
A \( \cdot \frac{4 T}{P v^{2}} \)
в. \( \frac{4 T}{P v} \)
c. \( \frac{2 T}{P v^{2}} \)
D. \( \frac{4 T}{P_{v}^{3}} \)
| 3 |
Physics
|
One fifth of a number is \( 19 . \) What will be
\( 42 \% \) of that number will be?
A . 38
в. 41.1
c. 39.9
D. 43
E. None of these
| 2 |
Maths
|
Charges \( 1 \mu c \) are placed at each of the four corners of a square of side \( 2 \sqrt{2} m \)
The potential at the point of intersection of the diagonals is
\( \left(K=9 \times 10^{9} S I \quad \text { unit }\right) \)
\( \mathbf{A} \cdot 18 \times 10^{3} V \)
B. \( 1800 V \)
c. \( 18 \sqrt{2} \times 10^{3} V \)
D. None of these
| 3 |
Physics
|
Write the approximate value of specific heat capacity of water in S.I. unit.
A \( \cdot 420 J k g^{-1} K^{-1} \)
B . \( 400 J k g^{-1} K^{-1} \)
c. \( 2100 J k g^{-1} K^{-1} \)
D. \( 4200 J k g^{-1} K^{-1} \)
| 3 |
Physics
|
In the extraction of copper from its sulphide ore, the metal is finally
obtained by the reduction of cuprous oxide with:
A. Copper (I) sulphide \( \left(C u_{2} S\right) \)
B. Sulphur dioxide \( \left(S O_{2}\right) \)
c. Iron sulphide (Fes)
D. Carbon monoxide (CO)
| 1 |
Chemistry
|
Primary and secondary valency of
\( \boldsymbol{P t} \) in \( \left[\boldsymbol{P t}(\boldsymbol{e n})_{2} \boldsymbol{C l}_{2}\right] \boldsymbol{C l}_{2} \) are:
\( A \cdot 4,4 \)
B. 4,6
\( c \cdot 6,6 \)
D. 4,2
| 1 |
Chemistry
|
A road runs parallel to a vertical cliff at a distance of \( 680 \mathrm{m} \) as shown in the
figure. A truck, standing at \( P \) sounded the horn at an instance and the truck
driver hears the echo after \( 4 s \). But the
sound of the horn was heard twice by a
person standing at \( Q \) within an interval
of \( 2 s . \) Give reasons why the person at \( Q \) heard the sound twice. Neglecting the wind velocity. Calculate how far the person was from the truck?
| 3 |
Physics
|
Check whether the following pairs of
triangles are congruent. If they are
congent, state the congruence criterion.
| 2 |
Maths
|
A small child tries to move a large
rubber toy placed on the ground. The toy
does not move but gets deformed under her pushing force \( (\overrightarrow{\boldsymbol{F}}) \) which is obliquely upward as shown. Then
A \( \cdot \) The resultant of the pushing force \( (\vec{F}), \) weight of the toy, normal force by the ground on the toy and the frictional force is zero
B. The normal force by the ground is equal and opposite to the weight of the toy
C . The pushing force \( (\vec{F}) \) of the child is balanced by the equal and opposite frictional force
D. The pushing force \( (\vec{F}) \) of the child is balanced by the total internal force in the toy generated due to deformation
| 3 |
Physics
|
Let the sequence \( a_{1}, a_{2}, \ldots-\ldots--a_{n} \)
form an A.P. and let \( a_{1}=0, \) prove that
\[
\frac{\boldsymbol{a}_{\boldsymbol{3}}}{\boldsymbol{a}_{2}}+\frac{\boldsymbol{a}_{\boldsymbol{4}}}{\boldsymbol{a}_{\boldsymbol{3}}}+\frac{\boldsymbol{a}_{\boldsymbol{5}}}{\boldsymbol{a}_{\boldsymbol{4}}}+_{--------}+\frac{\boldsymbol{a}_{\boldsymbol{n}}}{\boldsymbol{a}_{\boldsymbol{n}-\boldsymbol{1}}}-
\]
\( \boldsymbol{a}_{2}\left(\frac{\mathbf{1}}{\boldsymbol{a}_{2}}+\frac{\mathbf{1}}{\boldsymbol{a}_{3}}+\ldots+\frac{\mathbf{1}}{\boldsymbol{a}_{n-2}}\right)=\frac{\boldsymbol{a}_{\boldsymbol{n}-\mathbf{1}}}{\boldsymbol{a}_{2}}+ \)
\( \frac{\boldsymbol{a}_{2}}{\boldsymbol{a}_{n-1}} \)
| 2 |
Maths
|
Name the device used to increase the
voltage at the generating station.
A. Transformer
B. Capacitor
c. Diodes
D. None of the above
| 3 |
Physics
|
Block A has a weight of 300N and block
B has a weight of 50 N. If the coefficient
of kinetic friction between the incline
and block \( A \) is \( \mu_{k}=0.2 . \) Determine the speed of block A after it moves \( 1 \mathrm{m} \) down
the plane, starting from rest. Neglect the mass of the cord and pulleys.
| 3 |
Physics
|
An ideal inductor is in turn put across
\( 220 V, 50 H z \) and \( 220 V, 100 H z \)
supplies. The current flowing through it in the two cases will be then
A. equal
B. different
c. zero
D. infinite
| 3 |
Physics
|
State the condition for the following:
A lens has both its focal lengths equal.
A. Medium is different on either side of lens.
B. Medium is same on either side of lens
c. No condition required
D. Can't say
| 3 |
Physics
|
Is 'Dolly' living now-a-days?
| 0 |
Biology
|
What is mean by dispersive power of a
transparent material?
| 3 |
Physics
|
Calculate the pH of the buffer solution
containing 0.15 mole of \( N H_{4} O H \) and
0.25 mole of \( N H_{4} C l . K_{b} \) for \( N H_{4} O H \)
is \( 1.8 \times 10^{-5} \)
| 1 |
Chemistry
|
A car travels along a circular path of radius \( \left(\frac{50}{\pi}\right) \mathrm{m} \) with a speed of \( 10 \mathrm{m} / \mathrm{s} \)
Then what is its displacement after 17.5 seconds.
\( A \cdot \frac{50 \sqrt{2}}{\pi} \)
B. \( \frac{50 \sqrt{3}}{\pi} \)
c. \( \frac{100 \sqrt{2}}{\pi} \)
D. 175
| 3 |
Physics
|
State whether true or false:
Linear molecules have \( 3 N-5 \)
vibrational degrees of freedom, whereas
non linear molecules have \( 3 N-6 \)
vibrational degrees of freedom, where \( N \) is no. of atoms present in a molecule.
A. True
B. False
| 3 |
Physics
|
By splitting into prime factors, find the
square root of:
194481
| 2 |
Maths
|
Say true or false. A cone, a hemisphere and a cylinder stand on equal bases and have the same height. The ratio of their volumes
is 1: 2: 3
A. True
B. False
| 2 |
Maths
|
The eccentricity of the ellipse \( \frac{x^{2}}{a^{2}}+ \) \( \frac{\boldsymbol{y}^{2}}{\boldsymbol{b}^{2}}=1 \) if its latus-rectum is equal to
one half of its minor axis, is
A \( \cdot \frac{1}{\sqrt{2}} \)
B. \( \frac{\sqrt{3}}{2} \)
\( c \cdot \frac{1}{2} \)
D. None of these
| 2 |
Maths
|
A cylindrical vessel open at the top is \( 20 c m \) high and \( 10 c m \) in diameter. \( A \)
circular hole whose cross-sectional
\( \operatorname{area} 1 c m^{2} \) is cut at the centre of the
bottom of the vessel. Water flows from a
tube above it into the vessel at the rate
\( 100 \mathrm{cm}^{3} s^{-1} . \) The height of water in the
vessel under steady state (in cm) is
| 3 |
Physics
|
Determine enthalpy change for,
\[
\boldsymbol{C}_{3} \boldsymbol{H}_{8}(\boldsymbol{g})+\boldsymbol{H}_{2}(\boldsymbol{g}) \longrightarrow \boldsymbol{C}_{2} \boldsymbol{H}_{6}(\boldsymbol{g})+
\]
\( \boldsymbol{C H}_{4}(\boldsymbol{g}) \) at \( 25^{\circ} \boldsymbol{C} \). using heat of
combustion values under standard
conditions.
\[
\begin{array}{llll}
\text { Compounds } & \boldsymbol{H}_{2}(\boldsymbol{g}) & \boldsymbol{C H}_{4}(\boldsymbol{g}) & \boldsymbol{C}_{2} \boldsymbol{H}_{\mathbf{6}} \\
\boldsymbol{\Delta H}^{\mathrm{o}} \text { in } & -285.8 & -890.0 & -1560.0
\end{array}
\]
kJ/mol
The standard heat of formation of
\[
C_{3} H_{8}(g) \text { is }-103.8 k J m o l^{-1}
\]
A. \( -55.7 k J \)
B . \( -75.5 k J \)
c. -55.7
D. None of these
| 1 |
Chemistry
|
What is the focal length of a convex lens of focal length \( 30 \mathrm{cm} \) in contact with a concave lens of focal length 20cm? Is
the system a converging or a diverging lens? Ignore thickness of the lenses.
| 3 |
Physics
|
Across the lanthanide series, the basicity of the lanthanide hydroxides?
A. Increases
B. Decreases
c. First increase and then decrease
D. First decrease and then increase
| 1 |
Chemistry
|
A ball of mass \( m \) is thrown vertically
upwards. Another ball of mass \( 2 m \) is
thrown simultaneously at an angle \( \theta \) with horizontal. Both of them hit the
ground at the same time when thrown from the same height. The heights attained by the two are in the ratio?
A .2:
B. 1:
\( c \cdot 1: \cos \theta \)
D. \( 1: \sec \theta \)
| 3 |
Physics
|
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.