text
stringlengths 1
4.32k
| label
int64 0
3
| label_text
stringclasses 4
values |
|---|---|---|
Rate of physisorption increases with:
A. decrease in temperature
B. increase in temperature
c. decrease in pressure
D. decrease in surface area
| 1 |
Chemistry
|
The fields due to a bar magnet at equal distance on its axial and equatorial lines are
A. Equal to each other
B. The field on the axial line is double that on the equatorial line
c. The field on the equatorial line is double that on the axial line
D. There is no relationship between the two fields
| 3 |
Physics
|
maximum current that will flow in the
circuit
| 3 |
Physics
|
Following elements do not show the properties characteristic of d-block
elements:
A. \( C u, A g, A u \)
в. \( Z n, H g, C d \)
c. \( S c, T i, V \)
D. Fe, Co, Ni
| 1 |
Chemistry
|
The negative effect of excessive heat on
enzyme function is that
A. It alters the three-dimensional shape of the enzyme
B. It alters the amino acid sequence of the enzyme
C. It alters the composition of the active site of the
enzyme
D. It alters the shape of the substrate molecule
E. It alters the chemical identity of the substrate
| 0 |
Biology
|
Find the \( 1.4 .7+2.5 .8+3.6 .9+ \)
\( \ldots \ldots . n^{t h} \) terms
| 2 |
Maths
|
For the parabola \( \boldsymbol{y}^{2}+\mathbf{8} \boldsymbol{x}-\mathbf{1 2} \boldsymbol{y}+\mathbf{2 0}= \)
\( \mathbf{0} \)
This question has multiple correct options
A. vertex is (2,6)
B. Focus is (0.6)
c. Latusrectum 4
D. Axis \( y=6 \)
| 2 |
Maths
|
An alternating current of \( 1.5 m A \) and
angular frequency 300 rad/sec flows
through a \( 10 K \Omega \) resistor and a \( 0.50 \mu F \) capacitor in series. find the rms voltage across the capacitor and impedance of the circuit?
A \( \cdot 1.2 \times 10^{4} \Omega ; 10 V \)
B . \( 10^{4} \Omega ; 10^{4} V \)
c. \( 1.0 \times 1.0^{4} \Omega ; 50 V \)
D. \( 10 \Omega ; 10 v \)
| 3 |
Physics
|
Eight drops of water, each of radius 2 \( \mathrm{mm} \) are falling through air at a terminal
velocity of \( 8 c m s^{-1} . \) If they coalesce to form a single drop, then the terminal velocity of combined drop will be:
A \( .32 \mathrm{cms}^{-1} \)
B. \( 30 \mathrm{cms}^{-1} \)
c. \( 28 \mathrm{cms}^{-1} \)
D. \( 24 \mathrm{cms}^{-1} \)
| 3 |
Physics
|
A ray of light travelling in water is
incident on its surface open to air. The
angle of incidence \( \theta \), which is less than
the critical angle. Then there will be:
A. only a reflected ray and no refracted ray
B. only a refracted ray and no reflected ray
C . a reflected ray and a refracted ray and the angle between them would be less than \( 180^{\circ}-2 \theta \)
D. a reflected ray and a refracted ray and the angle between them would be greater than \( 180^{\circ}-2 \theta \)
| 3 |
Physics
|
Using the SONAR, sound pulses are emitted at the surface of water. These
pulses after being reflected from the bottom are detected. If the time internal
from the emission to the detection of
sound pulses is \( 8 s \), find the depth of
water:
(net of sound in water \( =\mathbf{1 4 9 8 m} / \boldsymbol{s} \) )
\( \mathbf{A} \cdot 1498 m \)
B. \( 5992 m \)
c. \( 374.5 m \)
D. \( 18182 m \)
| 3 |
Physics
|
What characteristics do you except
from an electron-deficient hydride with respect to its structure and chemical
reactions?
| 1 |
Chemistry
|
A spaceship is launched into a circular orbit close to earth's surface. The
additional velocity that should be imparted to the spaceship in the orbit to overcome the gravitational pull is:
(Radius of earth \( =6400 k m \) and \( g= \)
\( \mathbf{9 . 8 m} \quad \boldsymbol{s}^{-1} \mathbf{)} \)
\( \begin{array}{lll}\text { A } \cdot & 11.2 k m & s^{-1}\end{array} \)
\( \mathbf{B} \cdot 8 k m \quad s^{-1} \)
\( \begin{array}{ll}\text { c. } 3.2 k m & s^{-1}\end{array} \)
D. \( 1.5 k m \quad s^{-} \)
| 3 |
Physics
|
The element that does not show
catenation is:
\( A \cdot S n \)
в. \( G e \)
\( c \cdot s i \)
D. \( P b \)
| 1 |
Chemistry
|
Which of the following is an elastomer?
A. Vulcanized rubber
B. Dacron
c. Polystyrene
D. Melamine
| 1 |
Chemistry
|
In CAM the R.Q will be
A. zero
B. 1
c. More than one
D. Less than one
| 0 |
Biology
|
lonisation energy in the alkali metals
group:
A. increases from Li to cs
B. decreases from Li to cs
c. remains the same
D. first increases then decreases
| 1 |
Chemistry
|
Explain why rusting of iron objects is faster in coastal area than in deserts.
| 1 |
Chemistry
|
Evaluate: \( \int\left(\sqrt{\boldsymbol{x}}+\frac{\mathbf{1}}{\sqrt{\boldsymbol{x}}}\right) \boldsymbol{d} \boldsymbol{x} \)
| 2 |
Maths
|
An \( L C \) circuit contains a 20 m \( H \)
inductor and a \( 50 \mu F \) capacitor with an
initial charge of 10 mC.The resistance
of the circuit is negligible. Let the instant circuit is closed be at \( t=0 \)
What is the total energy stored initial? Is it conserved during the \( L C \) oscillations?
A. \( 0.01 \mathrm{J} \), yes
B. \( 0.1 \mathrm{J} \), yes
c. 1 J, yes
D. 2 J, yes
| 3 |
Physics
|
Find the area of a rhombus if its
vertices are (3,0),(4,5),(-1,4) and (-2,-1) taken in order
| 2 |
Maths
|
Oxidation of ammonia yields:
A \( . N O_{2} \)
в. \( N_{2} \),
c. \( N_{2} O_{5} \)
D. \( N O \)
| 1 |
Chemistry
|
Evaluate the following:
\( \int(3 x+1) \sqrt{2 x-1} d x \)
| 2 |
Maths
|
Let \( x \) be a real number \( [x] \) denotes the
greatest integer function, and \( \{x\} \)
denotes the fractional part and \( (x) \)
denotes the least integer function,then
solve the following. \( [x]^{2}+2[x]= \)
\( 3 x, 0 \leq x \leq 2 \)
\( \mathbf{A} \cdot\{0,1\} \)
B . \{-1,1\}
c. \{0,-1\}
D \( \cdot\{2,1\} \)
| 2 |
Maths
|
Which of the following are the ores of
zinc?
A. Calamine and zinc blend
B. Zinc blend and cerussite
c. calomine and siderite
D. zinc blend and carnallite
| 1 |
Chemistry
|
Food reserve of phaeophyceae is
A. Laminarin and floridean starch
B. Laminarin and mannitol
c. Fat
D. starch
| 0 |
Biology
|
The heart sound "DUP" is produced when
A. Mitral valve opens
B. Mitral valve closes
c. semilunar valve at the base of aorta closes
D. Tricuspid valve opens
| 0 |
Biology
|
An electron is moving round the nucleus of a hydrogen atom in a circular orbit of radius r. The coulomb
force \( \vec{F} \) between the two is -
\( ^{A} \cdot_{K} \frac{e^{2}}{r^{2}} \)
в. \( -K \frac{e^{2}}{r^{3}} \)
c. \( _{K} \frac{e^{2}}{r^{3}} \vec{r} \)
D. \( -K \frac{e^{2}}{r^{2}} \)
| 3 |
Physics
|
You are given a rod of length \( L \). The
linear mass density is \( \lambda \) such that \( \lambda= \) \( a+b x . \) Here \( a \) and \( b \) are constant and
the mass of the rod increases as \( x \)
decreases. Find the mass of the rod.
| 2 |
Maths
|
The half-life of \( ^{215} A t \) is \( 100 \mu \) s. The time
taken for the radioactivity of a sample of \( ^{215} A t \) to decay to \( 1 / 16 \) th of its initial value is
A. \( 400 \mu s \)
B. \( 6.3 \mu s \)
c. \( 40 \mu s \)
D. 300\mus
| 3 |
Physics
|
Simplify: \( (-\sqrt{3}+\sqrt{-2})(2 \sqrt{3}-i)=(a+ \)
ib) \( (-\sqrt{3}+\sqrt{-2}) . \) Find value of a and \( b \)
| 2 |
Maths
|
Find the approximate change in the
volume \( V \) of a cube of side \( x \) meters
caused by increasing the side by \( 2 \% \)
| 2 |
Maths
|
If \( \sin \theta=-\frac{4}{5}, \pi<\theta<\frac{3 \pi}{2}, \) then find
i) \( \sin 2 \theta \)
ii) \( \cos 2 \theta \)
iii) \( \tan 2 \theta \)
| 2 |
Maths
|
Draw labelled graphs to show how
electrical resistance varies with
temperature for:
(a) A metallic wire.
| 3 |
Physics
|
Assertion
Nitrogen does not form \( \boldsymbol{N} \boldsymbol{C} \boldsymbol{I}_{\mathbf{5}} \) or \( \boldsymbol{N} \boldsymbol{F}_{\mathbf{5}} \)
but phosphorus can.
Reason
Nitrogen \( \left(1 s^{2} 2 s^{2} 2 p^{3}\right) \) lacks \( 2 d \) -orbitals
in which electrons of 2 s can be excited
to make five orbitals unpaired. Only
three electrons remain unpaired hence
only \( N X_{3} \) is formed. In case of
\( P\left(1 s^{2} 2 s^{2} 2 p^{6} 3 s^{2} 3 p^{3}\right), 3 s \) electron can be
excited into \( 3 d \) vacant orbitals thus
making five unpaired electrons, thus
\( P X_{5} \) is possible.
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
|
One mole of an ideal diatomic gas
undergoes a transition from \( A \) to \( B \)
along a path \( A B \) as shown in the figure
The change in internal energy of the gas during the transition is:
A. 20 .
B. \( -12 k J \)
\( c \cdot 20 k J \)
D. \( -20 k J \)
| 1 |
Chemistry
|
The electric field for \( r<R_{1} \) is given by \( \boldsymbol{E}=\frac{\boldsymbol{X} \boldsymbol{Q}}{\boldsymbol{\pi} \varepsilon_{0} \boldsymbol{r}^{2}}\left[\frac{r^{3}-\boldsymbol{R}_{1}^{3}}{\boldsymbol{R}_{2}^{3}-\boldsymbol{R}_{1}^{3}}\right] . \) Find \( \boldsymbol{X} \)
| 3 |
Physics
|
\( f(x)=x+2 \cos x \) is increasing in
A \( \cdot\left(0, \frac{\pi}{2}\right) \)
В \( \cdot\left(\frac{-\pi}{2}, \frac{\pi}{6}\right) \)
c. \( \left(\frac{\pi}{2}, \pi\right) \)
D. \( \left(\frac{-\pi}{2} \frac{\pi}{2}\right) \)
| 2 |
Maths
|
How many images of a candle will be formed if it is placed between two
parallel plane mirrors separated by 40 \( \mathrm{cm} ? \)
| 3 |
Physics
|
Study the bar graph and answer the
questions. The graph shows the quantities of different crop production
in different states of India.
The difference in value of production of
wheat and rice in Uttar Pradesh is
A. 60 tonnes
B. 80 tonnes
c. 20 tonnes
D. 40 tonnes
| 2 |
Maths
|
The \( p H \) of lemonjuice is:
A. 4.2 to 4.4
B. 10.2 to 11.4
\( c \cdot 6.2 \) to 6.8
D. 2.2 to 2.4
| 1 |
Chemistry
|
When \( \left(x^{3}-2 x+p x-q\right) \) is divided by
\( \left(x^{2}-2 x-3\right), \) the remainder is \( (x-6) \)
What are the values of \( p, q \) respectively.
A . -2,-6
в. 2,-6
c. -4,12
D. 2,6
| 2 |
Maths
|
if \( \lim _{x \rightarrow 0} \frac{a \sin x-b x+c x^{2}+x^{3}}{2 x^{2} \log (1+x)-2 x^{3}+x^{4}} \)
exists and is finite, then
A \( \cdot a=-6, L=-\frac{3}{40} \)
B. \( a=-6, L=\frac{3}{40} \)
c. \( b=6, c=0 \)
D. \( a=-6, b=-6, L=\frac{3}{40} \)
| 2 |
Maths
|
Write characteristics of an ideal fuel.
| 1 |
Chemistry
|
If \( \boldsymbol{f}:\left[\mathbf{0}, \frac{\boldsymbol{\pi}}{\mathbf{2}}\right] \rightarrow[\mathbf{0}, \infty] \) be a function
defined by \( y=\sin \left(\frac{x}{2}\right), \) then \( f \) is
A . Injective
B. Surjective
c. Bijective
D. None of these
| 2 |
Maths
|
Moment of inertia of a solid about its geometrical axis is given by \( l=\frac{2}{5} M R^{2} \)
where \( M \) is mass \( \& R \) is radius. Find
out the rate by which its moment of inertia is changing keeping density constant at the moment \( \boldsymbol{R}= \)
\( \mathbf{1} \boldsymbol{m}, \boldsymbol{M}=\mathbf{1} \boldsymbol{k} \boldsymbol{g} \) \& rate of change of
radius w.r.t. time \( 2 m s^{-1} \)
A. \( 4 \mathrm{kg} \mathrm{ms}^{-1} \)
B. 2 \( k g m^{2} s^{-1} \)
c. \( 4 \mathrm{kg} \mathrm{m}^{2} \mathrm{s}^{-1} \)
D. None of these
| 3 |
Physics
|
Find a value of \( \boldsymbol{x} \) if \( \left|\begin{array}{cc}\boldsymbol{x} & \boldsymbol{2} \\ \boldsymbol{1} \boldsymbol{8} & \boldsymbol{x}\end{array}\right|=\left|\begin{array}{cc}\boldsymbol{6} & \boldsymbol{2} \\ \boldsymbol{1} \boldsymbol{8} & \boldsymbol{6}\end{array}\right| \)
| 2 |
Maths
|
If \( i=\sqrt{-1}, \) then \( 1+i^{2}+i^{3}-i^{6}+i^{8} \) is
equal to -
A. 2-
в.
\( c \cdot-3 \)
D. -
| 2 |
Maths
|
Two bodies of equal weight are kept at heights of \( h \) and \( 1.5 h \) respectively. The ratio of their P.E. is
\( A \cdot 3: 2 \)
B. 2:3
\( c \cdot 1: 1 \)
D. None of these
| 3 |
Physics
|
Between any two points in a circuit, the sum of all \( \ldots \ldots . . . . . . . \) is the same through
any pathway.
A . charge
B. current
c. potential difference
D. resistance
| 3 |
Physics
|
If mass-energy equvalence is taken into account, when water is cooled to form
ice, the mass of ater should
A. Increase
B. Remain unchanged
c. decrease
D. First increase and then decrease
| 3 |
Physics
|
\( 0.73 g \) of organic compound gave \( 1.32 g \)
\( C O_{2} \). The \( \% \) of carbon in the organic
compound is:
\( A \cdot 55.24 \)
B. 49.32
c. 48.64
D. 45.24
| 1 |
Chemistry
|
Derive the expression for torque acting on a dipole \( \boldsymbol{\tau}=\boldsymbol{P} . \boldsymbol{E} \sin \boldsymbol{\theta} \)
| 3 |
Physics
|
State True or False.
Estimation of oxygen in an organic compound can be made by Aluise
method.
A. True
B. False
| 1 |
Chemistry
|
Which temperature is hottest?
A \( \cdot 17^{\circ} \mathrm{C} \)
\( \mathbf{B} \cdot 58^{\circ} F \)
\( \mathbf{c} \cdot 290 K \)
D. \( 16^{\circ} \mathrm{C} \)
| 1 |
Chemistry
|
sinusoidal waves \( 5.00 \mathrm{cm} \) in amplitude are to be transmitted along a string having a linear mass density equal to
\( 4.00 \times 10^{-2} k g / m . \) If the source can
deliver an average power of \( 90 W \) and the string is under a tension of \( 100 N \)
then find the frequency at which the source can operate. (take \( \left.\pi^{2}=10\right) \)
| 3 |
Physics
|
A Science teacher wrote 3 statements
about rancidity:
(i) When fats and oils are reduced, they become rancid
(ii) In chips packet, rancidity is
prevented by oxygen
(iii) Rancidity is prevented by adding antioxidants.
Selects the correct option.
A. (i)
B. (ii) and (iii)
c. (iii)
D. (i), (ii) and (iii)
| 1 |
Chemistry
|
If \( \boldsymbol{y}=\boldsymbol{e}^{\boldsymbol{x}^{3}}, \) find \( \frac{\boldsymbol{d} \boldsymbol{y}}{\boldsymbol{d} \boldsymbol{x}} \)
| 2 |
Maths
|
Give the uses of ultraviolet radiation
| 3 |
Physics
|
On hydrolysis, \( P C I_{3} \) gives:
A \( \cdot H_{3} P O_{3} \)
в. \( H_{3} P O_{4} \)
c. \( P O C I_{3} \)
D. \( H P O_{3} \)
| 1 |
Chemistry
|
Q Type your question
chamber of volume \( V / 4 \) in the cube as
shown. The chamber is completely filled
by \( \mathrm{m} \) kg of water. Water leaks through a hole \( \mathrm{H} \) and spreads in the whole cube.
Then then work done by gravity in this
process assuming that the complete
water finally lies at the bottom of the
cube is
\( A \)
B. \( \frac{3}{8} m g \)
\( c \)
\( D \)
\( m g \)
| 3 |
Physics
|
A uniform magnetic field of induction \( \mathrm{B} \)
is confined to a cylindrical region of
radius R. The magnetic field is
increasing at a constant rate of \( \frac{d B}{d t} T s^{-1} . \) An electron of charge \( e \) placed at the point \( P \) on the periphery of the field experiences an acceleration
A \( \cdot \frac{1}{2} \frac{e R}{m} \frac{d B}{d t} \) toward left
B. \( \frac{1}{2} \frac{e R}{m} \frac{d B}{d t} \) toward right
c. \( \frac{e R}{m} \frac{d B}{d t} \) toward left
D. zero
| 3 |
Physics
|
Which of the following is/are correct
about critical conditions of real gas
following van der Waal's equation of
state?
This question has multiple correct options
A \( \cdot \) At \( T_{C}, \) there is no distinction between liquid and
vapour state, hence the density of liquid becomes equal to the density of vapour
B. \( A t \)
\( T_{C}, \) both \( \left[\frac{\partial P}{\partial V}\right]_{T} \) and \( \left[\frac{\partial^{2} P}{\partial V^{2}}\right]_{T} \) are equal to zero
\( \mathbf{C} \cdot Z=3 / 8 \) for every gas at \( T_{C}, \) and gases are more compressible than ideal gas
D. For temperature less than \( T_{C} \), the volume has three imaginary roots
| 1 |
Chemistry
|
The method to purify colloids is:
A . peptisation
B. coagulation
c. dialysis
D. bredig's arc method
| 1 |
Chemistry
|
Evaluate the following integral:
\( \int_{0}^{\pi} x d x \)
| 2 |
Maths
|
You have studied in Class IX, that a
median of a triangle divides it into two triangles of equal areas. Verify this result for \( \triangle A B C \) whose vertices are
\( \boldsymbol{A}(\mathbf{4},-\mathbf{6}), \boldsymbol{B}(\mathbf{3},-\mathbf{2}) \) and \( \boldsymbol{C}(\mathbf{5}, \mathbf{2}) \)
| 2 |
Maths
|
Find the square root of the following numbers by the factorisation numbers:
82944
| 2 |
Maths
|
Statement \( 1: A \) salt dissolved in an
organic solvent will be a good electrical conductor.
Statement 2: Salts will not dissolve
appreciably in an organic solvent.
A. Statement 1 and Statement 2 are correct and Statement 2 is the correct explanation of Statement 1
B. Both the Statement 1 and Statement 2 are correct, but Statement 2 is not the correct explanation of Statement 1.
c. statement 1 is correct, but statement 2 is not correct
D. Statement 1 is not correct, but Statement 2 is correct
| 1 |
Chemistry
|
\( \operatorname{Let} f(x)=\left(2-\frac{x}{a}\right)^{\tan \left(\frac{\pi x}{2 a}\right)}, x \neq a \)
The value which should be assigned to \( f \) at \( x=a \) so that it is continuous
everywhere is
A \( -\frac{2}{\pi} \)
B . \( e^{-2 / \pi} \)
\( c \cdot 2 \)
\( \mathbf{D} \cdot e^{2 / \pi} \)
| 2 |
Maths
|
In stationary wave, antinodes are the
points where there is
A. Minimum displacement and minimum pressure change
B. Minimum displacement and maximum pressure change
C. Maximum displacement and maximum pressure change
D. Maximum displacement and minimum pressure change
| 3 |
Physics
|
Suppose you want to dry your school uniform quickly. Would spreading it near an anghiti or heater help you? If yes, how?
| 0 |
Biology
|
A body of mass \( 0.2 \mathrm{kg} \) dropped from a height '6 m'. If \( e=\frac{1}{\sqrt{6}} \) then K.E. lost
during its first bounce from the ground
is
\( \mathbf{A} \cdot 1.96 J \)
B. \( 9.8 J \)
c. 19.6 .5
D. zero
| 3 |
Physics
|
If \( \boldsymbol{f}(\boldsymbol{x})=-\sqrt{25-\boldsymbol{x}^{2}}, \) then find
\( \lim _{x \rightarrow 1} \frac{f(x)-f(1)}{x-1} \)
| 2 |
Maths
|
\( A g N O_{3}(a q .) \) was added to an aqueous
\( K C l \) solution gradually and the
conductivity of the solution was
measured. The plot of conductance \( (\wedge) \)
versus the volume of \( \boldsymbol{A} \boldsymbol{g} \boldsymbol{N} \boldsymbol{O}_{3} \)
is
\( (\mathbf{R}) \)
\( (\mathbf{S}) \)
A \( \cdot(P) \)
B. \( (Q) \)
c. \( (R) \)
D. \( (S) \)
| 1 |
Chemistry
|
Who proposed the term Protista?
| 0 |
Biology
|
A short bar magnet placed in a horizontal plane has its axis aligned along the magnetic north-south direction. Null points are found on the
axis of the magnet at \( 14 \mathrm{cm} \) from the
centre of the magnet. The earth's
magnetic field at the place is \( 0.36 \mathrm{G} \) and the angle of dip is zero.What is the
total magnetic field on the normal
bisector of the magnet at the same distance as the null-point (i.e., \( 14 \mathrm{cm} \) )
from the centre of the magnet? (At null points, field due to a magnet is
equal and opposite to the horizontal component of earth's magnetic field.)
| 3 |
Physics
|
A minimum value of \( \sin x \cos 2 x \) is-
\( A \cdot 1 \)
B. - 1
c. \( -2 / 3 \sqrt{6} \)
D. None of these
| 2 |
Maths
|
Find the value of \( \left(x^{3} \times x^{7}\right) \div x^{12} \) for \( x= \)
(-2)
| 2 |
Maths
|
is a popular polyester.
A. Plastic
B. Polythene
C . Rayon
D. Terylene
| 1 |
Chemistry
|
Define adjacent angle.
| 2 |
Maths
|
In a statistical diagrammatic representation, rectangular bars drawn after a discontinuous series is called
graph.
A. bar
B. histogram
c. pie
D. frequency curve
| 2 |
Maths
|
Weak van der Waal forces are
responsible for Physisorption.
A. True
B. False
| 1 |
Chemistry
|
An ideal gas at a pressure of 1
atmosphere and temperature of \( 27^{\circ} \mathrm{C} \) is compressed adiabatically until its pressure becomes 8 times the initial
pressure, then the final temperature is
\( (\gamma=3 / 2) \)
\( \mathbf{A} \cdot 627^{0} C \)
В. \( 527^{\circ} \mathrm{C} \)
c. \( 427^{\circ} \mathrm{C} \)
D. \( 327^{\circ} \mathrm{C} \)
| 3 |
Physics
|
If \( \boldsymbol{f}(\boldsymbol{x})=\mathbf{1} \) for \( \boldsymbol{x}<\mathbf{0}=\mathbf{1}+\sin \boldsymbol{x} \) for
\( 0 \leq x<\pi / 2, \) then at \( x=0, \) then show
that the derivative \( f^{\prime}(x) \) does not exist.
| 2 |
Maths
|
If \( x+\frac{1}{x}=3, \) then \( x^{4}+\frac{1}{x^{4}}= \)
A. 81
B . 23
c. 25
D. 47
| 2 |
Maths
|
Prove that the relation \( R \) defined on set
\( Z \) as \( a R b \Leftrightarrow a-b \) is divisible by 3 , is
an equivalence relation
| 2 |
Maths
|
In an oscillating LC circuit the maximum charge on the capacitor is \( Q \) The charge on the capacitor when the energy is stored equally between the electric and magnetic field is:
A \( \cdot \frac{Q}{3} \)
в. \( \frac{Q}{\sqrt{3}} \)
c. \( \frac{Q}{\sqrt{2}} \)
D.
| 3 |
Physics
|
Derive an expression for the circuit
current
| 3 |
Physics
|
Although \( A u \) is soluble in aqua regia
but \( A g \) is not. Explain.
| 1 |
Chemistry
|
Four charges, all of the same magnitude, are placed at the four corners of a square. At the centre of the
square, the potential is \( \mathrm{V} \) and the field
is E. With suitable choices of the signs of the four charges, which of the following can be obtained? This question has multiple correct options
A. \( V=0, E=0 \)
B. \( V=0, E \neq 0 \)
c. \( V \neq 0, E=0 \)
D. \( V \neq 0, E \neq 0 \)
| 3 |
Physics
|
Coordinates of the focus of the parabola
\( x^{2}-4 x-8 y-4=0 \) are
A \( .(0.2) \)
B. (2,1)
c. (1,2)
D. (-2,-1)
| 2 |
Maths
|
Describe the energy transformation taking place in an oscillating pendulum.
| 3 |
Physics
|
The first term of an arithmetic
progression is 15 and the last term is
\( 85 . \) If the sum of all terms is \( 750, \) what is the 6th term?
A . 30
B. 40
\( c \cdot 45 \)
D. 55
| 2 |
Maths
|
What happens to energy when a charged particle moving in a magnetic field although a magnetic force is acting on it?
A . remains constant
B. increases
c. decreases
D. none of these
| 3 |
Physics
|
Distinguish between the following. Water pollution - Land pollution.
| 1 |
Chemistry
|
Boiling is a surface phenomenon.
A. True
B. False
| 3 |
Physics
|
The most acidic hydrogen atoms are
present in:
A. ethane
B. ethene
c. ethyne
D. benzene
| 1 |
Chemistry
|
Truncus arteriosus is divided into
pylangium and synangium in a frog, it was first reported by
A. Oliver
B. William Harvey
c. waller
D. Malpighi.
| 0 |
Biology
|
The vapour pressure of pure benzene is
\( 639.7 \mathrm{mm} \mathrm{Hg} \) and the vapour pressure of a solution of a solute in benzene at the
temperature is \( 631.9 \mathrm{mm} \) Hg. If the
molality of the solution is \( 156 \times 10^{-x} \)
then what is the value of \( x ? \)
| 1 |
Chemistry
|
Which set does clearly identify striated
muscles?
A. Cylindrical, syncytial and unbranched
B. Spindle, unbranched and uninucleated
C . Cylindrical, striped and nucleated
D. Cylindrical, striped and branched
| 0 |
Biology
|
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.