text
stringlengths 1
4.32k
| label
int64 0
3
| label_text
stringclasses 4
values |
|---|---|---|
Explain Fleming's left hand rule with the help of labelled diagram. | 3 | Physics |
If there is an error of \( 0.01 \mathrm{cm} \) in the
diameter of a sphere then percentage error in surface area when the radius \( = \)
\( 5 c m, \) is
A . \( 0.005 \% \)
B. \( 0.05 \% \)
\( c \cdot 0.1 \% \)
D. \( 0.2 \% \) | 2 | Maths |
If the Poisson's ratio of a solid is \( \frac{2}{5}, \) then the ratio of its young's modulus to the rigidity modulus is
A \( \cdot \frac{5}{4} \)
в. \( \frac{7}{15} \)
c. \( \frac{14}{9} \)
D. \( \frac{14}{5} \) | 3 | Physics |
Solve:\( \int \frac{2 x+5}{x^{2}+5 x+6} d x \) | 2 | Maths |
The first I.P. values in electron volts of
nitrogen and oxygen atoms are respectively given by :
A \( .14 .6,13.6 \)
в. 13.6,14.6
c. 13.6,13.6
D. 14.6,14.6 | 1 | Chemistry |
\[
\begin{aligned}
\boldsymbol{f}(\boldsymbol{x})=& \frac{|\boldsymbol{x}|}{\boldsymbol{x}} \boldsymbol{x} \neq \mathbf{0} \\
\mathbf{0} \boldsymbol{x}=\mathbf{0}
\end{aligned}
\]
Check whether \( f(x) \) is continous or not
at \( x=0 \) | 2 | Maths |
Which of the following statements are
correct?
This question has multiple correct options
A. Water in test tube can be made to boil by placing it in a bath of boiling water
B. Heat can not be stored in a body
C. With increase in pressure, melting point decreases
D. Vapour can be directly converted into solid | 1 | Chemistry |
The area enclosed between the
parabolas \( \boldsymbol{y}^{2}=\mathbf{1 6} \boldsymbol{x} \) and \( \boldsymbol{x}^{2}=\mathbf{1 6} \boldsymbol{y} \) is
A \( \cdot \frac{64}{3} \) sq.units
в. \( \frac{256}{3} \) sq.units
c. \( \frac{16}{3} \) sq.units
D. None of these | 2 | Maths |
Assertion
The value of equilibrium constant depends on the stoichiometry of the equation. BECAUSE
Reason
The value of equilibrium constant does not change when the equation is multiplied or divided by a number.
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 \( y=x \tan y, \) then \( \frac{d y}{d x} \) is equal to
A. \( \frac{\tan y}{x-x^{2}-y^{2}} \)
в. \( \frac{y}{x-x^{2}-y^{2}} \)
c. \( \frac{\tan y}{y-x} \)
D. \( \frac{\tan x}{x-y^{2}} \) | 2 | Maths |
In the electrolysis of aqueous sodium
chloride solution which of the half cell
reaction will occur at anode? | 1 | Chemistry |
A parallel plate capacitor is made of two
square plates of side ' \( a \) ', separated by a
distance \( d(d<<a) \). The lower
triangular portion is filled with a
dielectric of dielectric constant \( \boldsymbol{K}, \) as
shown in the figure. The capacitance of this capacitor is :
\( \mathbf{A} \cdot \frac{1}{2} \frac{k \in_{0} a^{2}}{d} \)
B. \( \frac{k \in_{0} a^{2}}{d} \ln K \)
c. \( \frac{k \in_{0} a^{2}}{d(K-1)} \ln K \)
D. \( \frac{k \in_{0} a^{2}}{2 d(K+1)} \) | 3 | Physics |
The most reactive metal is:
A. sodium
B. magnesium
c. potassium
D. calcium | 1 | Chemistry |
A mass \( M \) at rest is broken into two
pieces having masses \( m \) and \( (M-m) \)
The two masses are then separated by a distance \( r . \) The gravitational force between them will be the maximum
when he ratio of the masses \( [\boldsymbol{m}:(\boldsymbol{M}- \)
\( \boldsymbol{m}) \) of the two parts is
A . 1:
B. 1: 2
\( c \cdot 1: 3 \)
D. 1: 4 | 3 | Physics |
Poise is the unit of :
A. pressure
B. friction
c. surface tension
D. viscosity | 3 | Physics |
How many terms of the series \( 2+6+ \)
\( 18+. \) must be taken to make the sum
equal to \( 728 ? \) | 2 | Maths |
In combustion, the substance reacts
with
A. hydrogen
B. oxygen
c. nitrogen
D. carbon dioxide | 1 | Chemistry |
10 mL of hydrogen combines with 5 mL
of oxygen to yield water. When 200 mL of hydrogen at STP is passed over heated
\( C u O, \) the \( C u O \) loses 0.144 g of its weight. State the law illustrated by these chemical combinations.
A. Law of multiple proportion
B. Law of constant composition
c. Law of reciprocal proportion
D. None of the above | 1 | Chemistry |
toppr
Q Type your question
temperature of the gas is the same. Which of the following graphs best
represent the cyclic process in T-V
diagram
\( A \)
\( A) \)
B.
\( B \) )
\( c \)
\( (\mathrm{C}) \)
0
\( (D) \) | 3 | Physics |
Waves produced in the sonometer wire
are
A. transverse and progressive
B. transverse and stationary
c. longitudinal and progressive
D. longitudinal and stationary | 3 | Physics |
A body goes to \( 10 \mathrm{km} \) north and \( 20 \mathrm{km} \)
east. The displacement from initia point is
A \( .22 .36 \mathrm{km} \)
B. \( 2 \mathrm{km} \)
\( \mathbf{c} .5 \mathrm{km} \)
D. \( 20 \mathrm{km} \) | 3 | Physics |
If head means one and tail means two
then coefficients of quadratic equation
\( a x^{2}+b x+c=0 \) are chosen by tossing
three fair coins. The probability that roots of the equation are imaginary is
A \( \cdot \frac{5}{8} \)
B. \( \frac{3}{8} \)
\( c \cdot \frac{7}{8} \)
D. | 2 | Maths |
The elements having the general configuration, \( 4 f^{1-14} 5 s^{2} 5 p^{6} d^{0-1} 6 s^{2} \) are
referred as
A. alkali metals
B. transition elements
c. lanthanoids
D. actinides | 1 | Chemistry |
Composition of azurite mineral is:
A. \( C u C O_{3} . C u O \)
в. \( C u\left(H C O_{3}\right)_{2} . C u(O H)_{2} \)
\( \mathbf{c} \cdot 2 C u C O_{3} \cdot C u(O H) \)
D. \( C u C O_{3} .2 C u(O H) \) | 1 | Chemistry |
How many degrees of unsaturation are there the following compound?
\( \mathbf{A} \)
B
\( c \cdot 10 \)
\( D \) | 1 | Chemistry |
ff \( \frac{\mathbf{3 x}+\mathbf{4}}{(x+1)^{2}(x-1)}=\frac{A}{x-1}+\frac{B}{x+1}+ \)
\( \frac{C}{(x+1)^{2}}, \) then \( C= \)
A. \( -\frac{1}{2} \)
B. \( -\frac{1}{4} \)
\( c \cdot-\frac{7}{4} \)
D. \( -\frac{1}{4} \) | 2 | Maths |
What is the difference between the
pressure on the bottom of a pool and the
pressure on the water surface?
A \( . g h \)
B. \( \frac{g}{h} \)
c. 0
D. none | 3 | Physics |
Integrate \( \int x \cos ^{-1} x d x \) | 2 | Maths |
Two magnetic poles of strengths \( 40 A m \) and \( 10 A m \) are separated by a distance
of \( 20 \mathrm{cm} \) in air. The force between them
if the distance is reduced to \( 10 \mathrm{cm} \) is
A \( \cdot 4 \times 10^{-3} N, 10^{-3} N \)
B . \( 10^{-3} N, 4 \times 10^{-3} N \)
c. \( 2 \times 10^{-3} N, 10^{-3} N \)
D. \( 10^{-3} N, 2 \times 10^{-3} N \) | 3 | Physics |
In Bentham and Hooker's system
classification, ranales are included
under
A. Calyciflorae
B. Inferae
c. Disciflorae
D. Thalamiflorae | 0 | Biology |
Identify the final product of the reaction
\[
\mathrm{CH}_{3} \mathrm{MgBr}+\mathrm{CH}_{2} \mathrm{CH}_{2} \rightarrow \stackrel{\mathrm{H}, \mathrm{O}^{+}}{\longrightarrow} ?
\]
\( \mathbf{A} \cdot C H_{3} O H \)
в. \( C H_{3} C H_{2} O H \)
\( c \)
\[
\triangle
\]
D. \( C H_{3} C H_{2} C H_{2} O H \) | 1 | Chemistry |
\( * \)
\( * \)
\( * \)
\( k \) | 2 | Maths |
What is transpiration? Where does it
occur? | 0 | Biology |
City garbage can be used to produce
A. sewage sludge
B. useful articles
c. biogas and maure
D. All the above. | 0 | Biology |
When the vapours of tertiary butyl alcohol are passed through heated copper at \( 573 K \), the product formed is:
\( \mathbf{A} \cdot B u t-2-e n e \)
в. \( 2- \) Виtanone
c. \( 2- \) Methyl - propene
D. Butanal | 1 | Chemistry |
Triple fusion in Capsella bursa pastoris is
fusion of male gamete with.
A. Eggg
B. synergid
c. Secondary nucleus
D. Antipodal | 0 | Biology |
A ray of light is incident at the glass-
water interface at angle \( i, \) it emerges
finally parallel to the surface of water,
then the value of \( \mu_{g} \) would be
A \( \cdot(4 / 3) \sin (i) \)
B. \( [1 / \sin (i)] \)
\( c \cdot 4 / 3 \)
D. | 3 | Physics |
Check the commutativity and associativity of the following binary operation:
\( *^{\prime} \) on \( Q \) defined by \( a * b=a+a b \) for all
\( \boldsymbol{a}, \boldsymbol{b} \in \boldsymbol{Q} \) | 2 | Maths |
Write the place value of the underlined digit of the following decimal numbers:
(i) 82.61
(ii) 5.24 | 2 | Maths |
The correct order of energy difference
between adjacent energy levels in \( H \)
atom:
\( \mathbf{A} \cdot E_{2}-E_{1}>E_{3}-E_{2}>E_{4}-E_{3} \)
B \( \cdot E_{2}-E_{1}>E_{4}-E_{3}>E_{3}-E_{2} \)
\( \mathbf{c} \cdot E_{4}-E_{3}>E_{3}-E_{2}>E_{2}-E_{1} \)
D \( \cdot E_{3}-E_{2}>E_{4}-E_{3}>E_{2}-E_{1} \) | 1 | Chemistry |
What is the angle between \( \vec{P} \times \vec{Q} \) and \( \overrightarrow{\boldsymbol{Q}} \times \overrightarrow{\boldsymbol{P}} ? \)
A. zero
В. \( \pi / 2 \)
\( c . \pi \)
D. none of the above | 2 | Maths |
Which among the following has the highest calorific value?
A . Petrol
B. Kerosene
c. Ethanol
D. woodd | 1 | Chemistry |
The wave number for the shortest
wavelength transition in Paschal series of \( L i^{2+} \) lon is: \( \left(R: 109677 c m^{-1}\right) \)
A \( \cdot 27420 \mathrm{cm}^{-1} \)
B. \( 164515 \mathrm{cm}^{-1} \)
\( \mathbf{c} \cdot 219354 \mathrm{cm}^{-1} \)
D. \( 109677 \mathrm{cm}^{-1} \) | 1 | Chemistry |
Given the geometric progression
\( \mathbf{3}, \mathbf{6}, \mathbf{1 2}, \mathbf{2 4}, \dots . \) The term 12288 would
occur as the
A \( \cdot 11^{t h} \) term
B. \( 12^{\text {th}} \)term
\( \mathbf{c} \cdot 13^{t h} \)term
D. \( 14^{\text {th}} \)term | 2 | Maths |
When light is incident on a glass block at polarizing angle
a) reflected ray is plane polarized
b) reflected and refracted rays are perpendicular
c) reflected and refracted rays are
partially polarized
d) refracted ray is partially polarised
\( A \cdot a, c \) and \( d \) are correct
B. a, b and d are correct
\( c \cdot b, c \) and \( d \) are correct
D. a, b and c are correct | 3 | Physics |
Materials suitable for permanent
magnet, must have which of the
following properties?
A. High retentivity, low coercivity and high permeability
B. Low retentivity, low coercivity and low permeability
c. Low retentivity, high coercivity and low permeability
D. High retentivity, high coercivity and high permeability | 3 | Physics |
The van't Hoff factor of \( B a C l_{2} \) at \( 0.01 \mathrm{M} \)
concentration is \( 1.98 . \) The percentage of
dissociation of \( B a C l_{2} \) at this
concentration is:
A .49
B. 69
\( c \cdot 89 \)
D. 100 | 1 | Chemistry |
Dalton had suggested that an atom is indivisible.
A . True
B. False | 1 | Chemistry |
(a) Write the relation between object
distance \( (u), \) image distance \( (v) \) and
focal distance \( (\boldsymbol{f}) \) of a spherical lens.
(b) What is magnification?
(c) The refractive index of glass with respect to air is \( \frac{3}{2} \) and the refractive index of water with respect to air is \( \frac{4}{3} . \) If the speed of light in air is \( 3 \times 10^{8} m / s \)
find the speed of light in (i) glass, (ii) water | 3 | Physics |
In earthworms setae are present in all
segments except
A. First and the last segments
B. First segment
c. Clitellum and last segments
D. First clitellum and last segments | 0 | Biology |
When steam is passed over hot coke, it
produces:
A. producer synthesis gas
B. synthesis gas
c. teargas
D. coal gas | 1 | Chemistry |
n Fig. \( A B=A C \) and \( D B=D C, \) find
the ratio \( \angle A B D: \angle A C D \) | 2 | Maths |
\( P h-\stackrel{0}{C}-O H \stackrel{S O C l_{2}}{\longrightarrow}(A) \underset{P d-B a S O_{4}}{C}(B) \)
Product (B) is:
A.
\[
P h-C_{-} H
\]
в. \( P h-C H_{2}-O H \)
c. \( P h-C H_{2}-C l \)
D. \( P h-C H=C H_{2} \) | 1 | Chemistry |
Find the direction cosines of the line
\( \frac{\boldsymbol{x}+\mathbf{2}}{\mathbf{2}}=\frac{\mathbf{2} \boldsymbol{y}-\mathbf{5}}{\mathbf{3}} ; \boldsymbol{z}=-\mathbf{1} \) | 2 | Maths |
Which of the following molecules has the shortest carbon-carbon single bond length?
A. \( C H_{2}=C H-C-C H_{3} \)
в. \( C H_{2}=C H-C=N \)
c. \( C H_{2}=C H-C=O \)
D. \( C H_{2}=C H-C H=C H_{2} \) | 1 | Chemistry |
The acidic amino acid is:
A. Aspartic acid
B. Alycine
c. serine
D. Tyrosine | 1 | Chemistry |
Amongst the following the strongest base is:
A. benzylamine
B. aniline
c. m-nitroaniline
D. p-nitroaniline | 1 | Chemistry |
Unpolarised light of intensity \( 32 \mathrm{W} \mathrm{m}^{-2} \)
passes through three polarizes is crossed with that of the first. The
intensity of final emerging light is 3 \( \mathrm{W} \mathrm{m}^{-2} . \) The intensity of light transmitted by first polarizer will be
\( A \cdot 32 W m^{-2} \)
B. \( 16 \mathrm{W} \mathrm{m}^{-2} \)
\( c \cdot 8 w m^{-2} \)
D. \( 4 \mathrm{Wm}^{-2} \) | 3 | Physics |
Deserts can be converted into green
land by
A. Tropical trees
B. Oxylophytes
c. Halophytes
D. Psammophytes | 0 | Biology |
Identify the symptoms of indigestion.
A. Fever
B. Bloating
c. Growling stomach
D. Both B and C | 0 | Biology |
The products for the following reactions
are:
(i) \( C H_{3}-C_{H}^{B r}-C H_{2}-C H_{3}+ \)
alc. \( \boldsymbol{K O H} \rightarrow \boldsymbol{X} \)
(ii) \( \boldsymbol{C H}_{3}-\underset{_{\mathrm{I}}^{\mathrm{CH}}}{\boldsymbol{H}}-\boldsymbol{C H}=\boldsymbol{C H}_{2} \stackrel{\boldsymbol{O}_{3}}{\longrightarrow} \)
\( \boldsymbol{Y}+\boldsymbol{Z} \)
A. \( X=\left(C H_{3}\right)_{2} C=C H_{2}, Y=C H_{3} C H_{2} C H O, Z= \)
\( C H_{3} C H_{2} C H O \)
B. \( X=C H_{2}=C H_{2}, Y=C H_{3} C H O, Z=C H_{3} C O O H \)
c. \( X=C H_{3}-C H=C H-C H_{3}, Y=C H_{3}-C H \)
D. \( X=C H_{3}-C H=C\left(C H_{3}\right)_{2}, Y=H C H O, Z= \)
\( C H_{3} C H O \) | 1 | Chemistry |
A uniform rod of length L and mass M is pulled horizontally on a smooth surface
with a force F. Determine the elongation
of rod if Young's modulus of the
material is \( Y \) | 3 | Physics |
If \( \vec{a}, \vec{b}, \vec{c} \) are unit vectors and the angles between \( \vec{a}, \vec{b} \) and \( \vec{b}, \vec{c} \) and \( \vec{c}, \vec{a} \) are \( \frac{\pi}{6}, \frac{\pi}{3} \)
and \( \frac{\pi}{4} \) respectively, then \( |\vec{a}+\vec{b}+\vec{c}| \)
A . 3
B. \( 4+\sqrt{3}+\sqrt{2} \)
c. \( \sqrt{4+3+2} \)
D. None of these | 2 | Maths |
Which metal is usefull for protection of iron by corrosion?
A. Aluminium
B. Sodium
c. zinc
D. copper | 1 | Chemistry |
Assertion
A positive catalyst increases the rate of a reaction.
Reason
In presence of a catalyst, the activation energy of the reaction increases.
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 |
A spherical uniform planet is rotating about its axis. The velocity of a point on
its equator is \( V \). Due to the rotation of
a planet about its axis the acceleration due to gravity \( g \) at equator is \( \frac{1}{2} \) of \( g \) at
poles. The escape velocity of a particle
on the pole of a planet in terms of \( V \) is
A \( \cdot V_{e}=2 V \)
B. \( V_{e}=V \)
\( \mathrm{c} \cdot_{V_{e}}=\frac{V}{2} \)
D. \( V_{e}=\sqrt{3} V \) | 3 | Physics |
Assertion
In Lewis structures of \( N F_{3} \) and \( C O_{3}^{2-} \)
nitrogen and carbon occupy the central position whereas fluorine and oxygen
occupy the terminal positions.
Reason
In Lewis representation, the least electronegative atom occupies the central position in the molecule/ion.
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 |
Observe the given situation and answer the following questions. Rahul and Ravi are playing in a ground. They start
running from the same point \( x \) simultaneously in the ground and reach point \( Y \) at the same time by following paths marked 1 and 2 respectively, as shown in the figure.
Which of the following is correct
statement for the given situation?
A. Rahul covers a longer distance with a lower speed
B. Rahul covers a longer distance with a higher speed
C. Rahul and Ravi both cover different distances with same speed.
D. Ravi covers a shorter distance with higher speed | 3 | Physics |
what is the distance of the point (p,q,r) from the \( x \) -axis ? | 2 | Maths |
The light of wavelength \( 6328 A^{\circ} \) is incident on a slit of width 0.2 mm
perpendicularly, the angular fringe width will be:
A \( \cdot 0.36^{\circ} \)
B. \( 0.18^{\circ} \)
\( c \cdot 0.72^{\circ} \)
D. \( 0.09^{\circ} \) | 3 | Physics |
The relation between frequency (n) and wavelength \( (\lambda) \) is given by (v is velocity, n is frequency and \( T \) is time-period)
в. \( n=\frac{\lambda}{v} \)
c. \( v=\frac{n}{\lambda^{2}} \)
D. \( n=\frac{T}{\lambda} \) | 3 | Physics |
toppr
\( Q \)
Its specitication. Name the tnree independent quantities conventionally used to specify the earth's magnetic field.
(b) The angle of dip at a location in
southern India is about \( 18^{\circ} . \) Would you
expect a greater or smaller dip angle in Britain?
(c) If you made a map of magnetic field lines at Melbourne in Australia, would the lines seem to go into the ground or come out of the ground?
(d) In which direction would a compass free to move in the vertical plane point
to, if located right on the geomagnetic north or south pole?
(e) The earth's field, it is claimed, roughly approximates the field due to a dipole of magnetic moment \( 8 \times \) \( 10^{22} J T^{-1} \) located at its centre. Check
the order of magnitude of this number
in some way.
(f) Geologists claim that besides the main magnetic N-S poles, there are several local poles on the earth's surface oriented in different directions.
How is such a thing possible at all? | 3 | Physics |
True or False
Natural fibres are obtained from plants and animals where as synthetic fibres are obtained by chemical processing of petrochemicals. | 1 | Chemistry |
A matrix consisting of a single column of m elements is know as
A. Column matrix
B. Row matrix
c. Square matrix
D. Null matrix | 2 | Maths |
What is pH? What is its range? What
are the negative impacts if the pH of
soil is too low or too high? | 0 | Biology |
The dimensional formula of wave
number is :
\( \mathbf{A} \cdot\left[M^{0} L^{0} T^{0}\right] \)
B . \( \left[M^{0} L^{-1} T^{0}\right] \)
C . \( \left[M^{0} L^{0} T^{-1}\right] \)
D. \( \left[M^{-1} L^{-1} T^{0}\right] \) | 3 | Physics |
The father of ATP cycle is
A. White
B. Lipmann
c. Pasteur
D. Buchner | 0 | Biology |
\( \boldsymbol{A} \boldsymbol{g}_{2} \boldsymbol{S}+\boldsymbol{N} \boldsymbol{a} \boldsymbol{C}+\boldsymbol{Z} \boldsymbol{n} \longrightarrow \boldsymbol{A} \boldsymbol{g}^{+} \)
This method of extraction of Ag by the complex formation and then its displacement is called:
A. Parke's method
B. Mac Arthur-Forest method
c. Serpek method
D. Hall's method | 1 | Chemistry |
Which of the following halogen exchange reaction will occur in
acetone?
A. \( R-I+N a C l \rightarrow \)
в. \( R-F+K C l \rightarrow \)
c. \( R-C l+N a l \rightarrow \)
D. \( R-F+A g B r \rightarrow \) | 1 | Chemistry |
If \( R=\{(x, y) / 3 x+2 y=15 \text { and } x, y \epsilon N\} \)
the range of the relation \( \mathrm{R} \) is
A \( \cdot\{1,2\} \)
B . \( \{1,2, . ., 5\} \)
c. \( \{1,2, ., 7\} \)
D. \{3,6\} | 2 | Maths |
Which alky halide has maximum
density?
\( \mathbf{A} \cdot C_{3} H_{7} F \)
B \( \cdot C_{2} H_{5} C l \)
\( \mathrm{c} \cdot C H_{3} B r \)
D. \( C H_{3} I \) | 1 | Chemistry |
Mark the following rational numbers on
the number line.
\( \frac{3}{2} \) | 2 | Maths |
A mapping from \( N \) to \( N \) is defined as follows
\( \boldsymbol{f}: \boldsymbol{N} \longrightarrow \boldsymbol{N} \)
\( \boldsymbol{f}(\boldsymbol{n})=(\boldsymbol{n}+\mathbf{5})^{2}, \boldsymbol{n} \in \boldsymbol{N} \)
\( (N \) is the set of natural numbers). Then,
A. \( f \) is not one to one
B. \( f \) is onto
c. \( f \) is both one to one and onto
D. \( f \) is one to one but not onto | 2 | Maths |
What are the dimensions of \( \boldsymbol{K}=\frac{\mathbf{1}}{\mathbf{4} \boldsymbol{\pi} \boldsymbol{\epsilon}_{0}} ? \)
(Given, N is the unit of force, with
dimensions \( M L T^{-2} \) )
A \( \cdot C^{2} N^{-1} M^{-2} \)
в. \( N M^{2} C^{-2} \)
c. \( N M^{2} C^{2} \)
D. Unitless | 3 | Physics |
Let \( A=\{5,6,7,8\} ; B=\{-11,4,7,-10,-7,-9, \)
-13\} and \( \boldsymbol{f}= \)
\( \{(x, y): y=3-2 x, x \epsilon A, y \epsilon B\} \)
(i) Write down the elements of \( f . \) (ii)
What is the co-domain?
(iii) What is the range?
(iv) Identify the type of function. | 2 | Maths |
If the final volume of the gas is given by
\( \boldsymbol{x} \times \mathbf{1 0}^{-1} \boldsymbol{L}, \) then find \( \boldsymbol{x} \) ? | 3 | Physics |
Addition of mineral acid to an aqueous
solution of Borax, the compound formed is:
A. Puroboric acid
B. Boron hydride
c. Meta boric acid
D. orthoboric acid | 1 | Chemistry |
Evaluate:
\( \int \sin ^{4} x \cos ^{4} x d x \) | 2 | Maths |
toppr
Q Type your question
\( A \)
\( B \)
\( c \)
\( D \) | 1 | Chemistry |
"Be dissolves in alkali to give
\( N a_{2} B e O_{2} \) and \( H_{2} \)
Answer whether the above statement is
true or false.
If true enter 1 , else enter 0 | 1 | Chemistry |
The volume of a cube with diagonal of length d units is \( \frac{d^{3}}{3 \sqrt{3}} \) cu.units
State True or False.
A . True
B. False
c. Data Insufficient
D. None of the above | 2 | Maths |
\( A B \) and \( C D \) are two perpendicular diameters of a circle with centre \( 0,0 D \) is
the diameter of smaller circle.If \( O A=7 \)
\( \mathrm{cm} \),then the area of the shaded region in
figure,is
\( A \cdot 66.5 c m^{2} \)
В. \( 66 c m^{2} \)
\( c \cdot 65 c m^{2} \)
D. \( 67.5 \mathrm{cm}^{2} \) | 2 | Maths |
A long string under tension of \( 100 N \)
has one end at \( x=0 . \) A sinusoidal
wave is generated at \( x=0 \) whose
equation is given by
\( \boldsymbol{y}= \)
\( (0.01 c m) \sin \left[\left(\frac{\pi x}{10} m\right)-50 \pi t(s e c)\right] \)
Find the average power transmitted by
the wave. | 3 | Physics |
The rate of \( E_{1} \) reaction depends upon:
A. the concentration of substrate
B. the concentration of nucleophile
C. the concentration of substrate as well as nucleophile
D. neither the concentration of substrate nor of nucleophile | 1 | Chemistry |
Which is natural satellite of Earth?
A. INSAT
B. Moon
c. sputnik
D. Aryabhatta | 3 | Physics |
A defect of vision caused due to
excessive curvature of the cornea is:
A. myopia
B. hypermetropia
c. astigmatism
D. presbyopia | 3 | Physics |
Positive electric flux indicates that
electric lines of force are directed
from a point charge.
A. Outwards
B. Onwards
c. Outwards or inwards
D. None of these | 3 | Physics |
Name the purest form of commercia
ion. | 1 | Chemistry |
Which of the following components of blood fights infection?
A. White blood cells
B. Platelets
c. Red blood cells
D. All of these | 0 | Biology |
The epoch of beginning of human life is
A. Palaeocene
B. Pleistocene
C. Pliocene
D. Holocene | 0 | Biology |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.