text
stringlengths 1
4.32k
| label
int64 0
3
| label_text
stringclasses 4
values |
|---|---|---|
How are the functions of the
reproductive organs in human beings controlled? | 0 | Biology |
The equation of a longitudinal wave is
represented as \( \boldsymbol{y}=20 \cos \pi(50 t-x) \)
its wavelength is
A. \( 5 m \)
в. \( 2 m \)
\( c .50 m \)
D. 20m | 3 | Physics |
An object of \( 2 \mathrm{cm} \) height is placed at a distance of \( 16 \mathrm{cm} \) from a concave mirror
which produces a real image \( -3 c m \) height. What is the focal length \( \& \) position of the image? | 3 | Physics |
The index of refraction for diamond is
2.42. For a diamond in the air (index of
refraction \( =1.00 \), what is the smallest
angle that a light ray inside the diamond can make with a normal and
completely reflect back inside the diamond (the critical angle)?
A \( \cdot 90^{\circ} \)
B . \( 45^{\circ} \)
\( c \cdot 68^{\circ} \)
D. \( 66^{\circ} \)
E \( .24^{\circ} \) | 3 | Physics |
A rocket is launched upward from the
Earth's surface whose velocity-time
graph is shown in figure.
The maximum height attained by
the rocket is:
\( \mathbf{A} \cdot 1 k m \)
B. \( 10 \mathrm{km} \)
\( \mathbf{c} \cdot 100 \mathrm{km} \)
D. \( 60 \mathrm{km} \) | 3 | Physics |
Evaluate the following
\( (97)^{2} \)
A. 9409
в. 9049
\( c .9949 \)
D. 4949 | 2 | Maths |
If \( \boldsymbol{A}=\left[\begin{array}{lll}\mathbf{6} & \mathbf{1 0} & \mathbf{1 0 0} \\ \mathbf{7} & \mathbf{1} & \mathbf{0} \\ \mathbf{0} & \mathbf{9} & \mathbf{1 0}\end{array}\right], \) then
\( \operatorname{Tr}\left(\boldsymbol{A}^{T}\right)= \)
(Tr denotes trace of a matrix)
A . -17
B. 17
\( c \cdot-\frac{1}{15} \)
D. \( \frac{1}{17} \) | 2 | Maths |
A wire having a linear density of 0.05 \( \mathrm{gm} / \mathrm{cm} \) is stretched between two rigid supports with a tension of \( 4.5 \times 10^{7} \)
dynes. It is observed that the wire resonates at a frequency of 420 cycles/sec. The next higher frequency at which the same wire resonates is 490
cycles/sec. The length of wire is approximately
A. \( 314 \mathrm{cm} \)
B. 254 cm
c. \( 214 \mathrm{cm} \)
D. 354 cm | 3 | Physics |
State whether the following statements
are true or false.
Ethylene stimulates leaf release, while auxin keeps leaves from falling.
A. True
B. False | 0 | Biology |
Let \( A \) be a set of \( n \) distinct elements.
Then, the total number of distinct
functions from \( A \) to \( A \) is \( \ldots \) and out of
these \( \ldots . \) are onto functions. | 2 | Maths |
An electron initially at rest is accelerated through a potential difference of one volt. The energy gained by the electron is:
A. 15
B . \( 1.6 \times 10^{-19} \mathrm{J} \)
\( \mathbf{c} \cdot 10^{-19} J \)
D. None of these | 3 | Physics |
Are the following name correct according to IUPAC system of nomenclature? If not, give the correct
names.
Pent-3-yne | 1 | Chemistry |
Oxidation number is \( \mathrm{S} \) in \( \left(C H_{3}\right)_{2} S O \) is :
A. zero
B. +1
\( c \cdot+2 \)
\( D \cdot+3 \) | 1 | Chemistry |
The value of \( \Delta G_{r}^{\circ} \) of gaseous mercury is \( 31 k J / \) mole. At what external pressure
mercury start boiling \( 25^{\circ} C \)
\( \mathbf{A} \cdot 10^{-5.44} \)
B. \( 10^{-12.5} \)
D. \( 10^{-3.12} \) | 1 | Chemistry |
A steel wire of length \( 4 m \) is stretched by
a force of \( 100 N . \) The work done to
increase the length of the wire by \( 2 m m \) is
A . 0.4 .5
в. \( 0.2 J \)
\( c .0 .1 J \)
D. \( 1 . \) | 3 | Physics |
The ureters of opisthonephric kidneys represents
A. Wolffian ducts in male
B. Mullerian duct in female
c. Wolffian duct in both sexes
D. Both A and B | 0 | Biology |
The number of electrons required to balance the given equation is
\( N O_{3}^{-}+4 H^{+}+e^{-} \longrightarrow 2 H_{2} O+N O \)
\( \mathbf{A} \cdot \mathbf{5} \)
B. 2
\( c \cdot 3 \)
D. | 1 | Chemistry |
In a moderately asymmetrical distribution the distance between mean
\( \& \) median is 'k' times the distance
between mean \( \& \) mode, then 'k' equals
\( \mathbf{A} \cdot \mathbf{3} \)
B. 2
\( c \cdot \frac{2}{3} \)
D. None of these | 2 | Maths |
Obtain the expression for the intensity of electric field near a uniformly
charged straight wire of infinite length with the help of Gauss theorem. | 3 | Physics |
An edge of a variable cube is increasing at the rate of \( 3 \mathrm{cm} / \mathrm{s} \). How fast is the
volume of the cube increasing when the
edge is \( 10 \mathrm{cm} \) long?
A. \( 900 \mathrm{cm}^{3} / \mathrm{s} \)
B. \( 920 \mathrm{cm}^{3} / \mathrm{s} \)
\( \mathbf{c} .850 \mathrm{cm}^{3} / \mathrm{s} \)
D. \( 950 \mathrm{cm}^{3} / \mathrm{s} \) | 2 | Maths |
State True or False.
The three quantum numbers were clearly explained in terms of Schrodinger wave equation.
A. True
B. False | 1 | Chemistry |
A man running round a race course note
that the sum of the distances of two
flag posts from him is 8 meters. The
area of the path he encloses in square meters if the distance between the flag
posts is 4 is:
\( \mathbf{A} \cdot 15 \pi \)
в. \( 12 \pi \)
c. \( 18 \pi \)
D. \( 8 \sqrt{3} \pi \) | 2 | Maths |
For an A.P. given below find \( t_{20} \) and \( S_{10} \) \( \frac{1}{6}, \frac{1}{4}, \frac{1}{3}, \dots \)
A \( \cdot \frac{7}{4}, \frac{65}{12} \)
в. \( \frac{5}{4}, \frac{63}{12} \)
c. \( \frac{5}{4}, \frac{65}{12} \)
D. \( \frac{7}{4}, \frac{63}{12} \) | 2 | Maths |
Solve: \( \frac{1}{2}+\frac{1}{6}+\frac{1}{12}+\frac{1}{20}+\ldots . .+ \)
\( \frac{1}{1892}+\frac{1}{1980}=? \) | 2 | Maths |
Column I represent the size of the soil
particles and Column II represents type of solid components. Which of the following is correct match for the Column I and Column II.
Column I
A.
0.2 to 2.00
mm
B. Less than
\( 0.002 \mathrm{mm} \)
(ii) \( \quad \) Clay
0.02 to 0.2
\( \mathrm{mm} \) coarse sanc
\( \begin{array}{ll}\text { c. } & \text { (iii) } \\ \text { menticle }\end{array} \)
D. 0.002 to 0.02
\( \mathrm{mm} \)
(iv) fine sand
particle
\( A \cdot A-(i i), B-(i i i), C-(i v), D-(i) \)
B. A - (iv), B - (i), C - (iii), D - (ii)
c. \( A- \) (iii), \( B- \) (ii), \( C-(i v), D- \) (i)
D. None of the above | 0 | Biology |
Find the value of \( \lambda \) for which the points
\( (6,-1,2),(8,-7, \lambda) \) and (5,2,4) are
collinear. | 2 | Maths |
What is the geometry of water molecule?
A . Distorted tetrahedral
B. Tetrahedral
c. Trigonal planer
D. Diagonal | 1 | Chemistry |
State Fleming's left hand rule. | 3 | Physics |
A formula analogous to the Rydberg formula applies to the series of spectral
lines which arise from transitions from
higher energy level to the lower energy
level of hydrogen atom.
A muonic hydrogen atom is like a hydrogen atom in which the electron is
replaced by a heavier particle, the muon'. The mass of the muon is about
207 times the mass of an electron,
while the charge remains same as that
of the electron. Rydberg formula for hydrogen atom is:
\( \frac{1}{\lambda}= \)
\( \boldsymbol{R}_{\boldsymbol{H}}\left[\frac{\mathbf{1}}{\boldsymbol{n}_{\mathbf{1}}^{2}}-\frac{\mathbf{1}}{\boldsymbol{n}_{2}^{2}}\right]\left(\boldsymbol{R}_{\boldsymbol{H}}=\mathbf{1 0 9 6 7 8 c m}^{-1}\right) \)
Radius of first Bohr orbit of muonic
hydrogen atom is
A \( \cdot \frac{0.259}{207} \dot{A} \)
B. \( \frac{0.529}{207} \),
c. \( 0.529 \times 207 \hat{A} \)
D. \( 0.259 \times 207 \dot{A} \) | 1 | Chemistry |
State whether true or false.
As the distance of the planet from the sun increases, the period of revolution decreases.
A. True
B. False | 3 | Physics |
If \( \sec ^{-1} x+\sec ^{-1} y+\sec ^{-1} z=3 \pi \)
then \( \boldsymbol{x} \boldsymbol{y}+\boldsymbol{y} \boldsymbol{z}+\boldsymbol{z} \boldsymbol{x}= \)
\( \mathbf{A} \cdot \mathbf{0} \)
B. -
\( c .3 \)
\( D \) | 2 | Maths |
A satellite orbiting the Earth at \( 400 \mathrm{km} \) above the surface of the Earth has a \( 2 m \)
long antenna oriented perpendicular to
the Earth's surface. At the equator the Earth's magnetic field is \( 8 \times 10^{-5} T \) and
is horizontal. Assuming the orbit to the circular, find emf induced across the
ends of the antenna.(Given radius of
\( \left.\operatorname{earth} R_{e}=6400 K m\right) \)
A. \( 1.3 V \)
В. \( 1.2 V \)
c. \( 1.0 V \)
D. \( 0.12 V \) | 3 | Physics |
The substance which is used to
stimulate the increase in apple size is
A . Auxin
B. Ethylene
c. Promalin
D. Morphactins | 0 | Biology |
\( \underset{x \rightarrow 0}{\operatorname{Lt} \frac{(1+x)^{6}-1}{(1+x)^{5}-1}}= \)
\( A \cdot \frac{1}{2} \)
B. 6 5
c. 1
\( D \) | 2 | Maths |
If \( y=\frac{1}{2}\left(\sin ^{-1} x\right)^{2}, \) then find \( (1- \)
\( \left.\boldsymbol{x}^{2}\right) \boldsymbol{y}_{2}-\boldsymbol{x} \boldsymbol{y}_{1} \)
Where \( y_{1} \) and \( y_{2} \) denote first and second
derivatives of \( y \) respectively.
A . -1
B. 0
c. 1
D. 2 | 2 | Maths |
speea or cu m/s releases a pomo ac a
height of \( 80 \mathrm{m} \) above ground as shown.
At the same instant a Hunter of
negligible height starts running point at below it, to catch the bomb with
speed \( 10 \mathrm{m} / \mathrm{s} \). After two seconds he
realized that he cannot make it, he
stops running and immediately holds
his gun and fires in such a direction so
that just before bomb hits the ground,
bullet will hit it. what should be a firing
speed of bullet. (take \( g=10 \mathrm{m} / \mathrm{s}^{2} \) )
A. \( 70 \mathrm{m} / \mathrm{s} \)
B. \( 20 \sqrt{1} 0 \mathrm{m} / \mathrm{s} \)
c. \( 10 \sqrt{10} \mathrm{m} / \mathrm{s} \)
D. None of above | 3 | Physics |
\( \frac{\boldsymbol{d}}{\boldsymbol{d} \boldsymbol{x}} \tan ^{-1}\left(\frac{\cos \boldsymbol{x}}{\mathbf{1}+\sin \boldsymbol{x}}\right) \)
A. \( -\frac{1}{2} \)
B. \( -\frac{1}{4} \)
\( c \cdot-\frac{1}{8} \)
D. 3 | 2 | Maths |
Weights of \( 20 \mathrm{kg} \) and \( 30 \mathrm{kg} \) are suspended from the ends of a light rod \( 5 \mathrm{m} \) long, so at which point the rod must be suspended by means of a string to keep it horizontal?
A. At \( 3 \mathrm{m} \) from 20kg weight
B. At \( 3 \mathrm{m} \) from 30kg weight
c. At \( 4 \mathrm{m} \) from 20kg weight
D. At \( 4 \mathrm{m} \) from 30 kg weight | 3 | Physics |
The radius of a circle is increasing
uniformly at the rate of \( 3 \mathrm{cm} / \mathrm{s} \). Find the rate at which the area of the circle is
increasing when the radius is \( 10 \mathrm{cm} \) | 2 | Maths |
Q Type your question
uniform field between the parallel
plates as shown in figure. Assume that
the field between the plates is uniform
and directed vertically downward, and
that the field outside the plates is zero. The electron enters the field at a point
midway between the plates. Mass of electron is \( 9.1 \times 10^{-31} k g . \) If the electron
just misses the upper plate, the time of flight of the electron up to this instant is :
A \( \cdot 1.25 \times 10^{-9} s \)
в. \( 32.5 \times 10^{-6} s \)
C \( \cdot 1.25 \times 10^{-10} s \)
D. \( 32.5 \times 10^{-8} s \) | 3 | Physics |
An air bubble inside water oscillates
due to some explosion with period T. If
\( T \propto P^{a} d^{b} E^{c} \) then determine the values
of \( a, b \) and \( c . \) Here \( P, d \) and \( E \) are the static pressure, density and total energy of explosion of water, respectively.
A \( \cdot a=\frac{5}{6}, b=1, c=\frac{1}{3} \)
B. \( a=-\frac{5}{6}, b=\frac{1}{2}, c=\frac{1}{3} \)
c. \( a=1, b=1, c=1 \)
D. \( a=0, b=0, c=1 \) | 3 | Physics |
In a potentiometer arrangement, a cell of emf \( 1.25 \mathrm{V} \) gives a balance point at 35 cm length of the wire. If the cell is replaced by another cell, the balance point shifts to \( 63 \mathrm{cm} \), then emf of the second cell is
A . \( 4.25 \mathrm{v} \)
B. 2.25
c. 3.25 \( v \)
D. \( 1.25 \mathrm{v} \) | 3 | Physics |
The time required for \( 100 \% \) completion of a zero order reaction is:
\( \mathbf{A} \cdot a k \)
в. \( \frac{a}{2 k} \)
c. \( \frac{a}{k} \)
D. \( \frac{2 k}{a} \) | 1 | Chemistry |
A vessel of volume \( V \) contains a mixture
of 1 mole of hydrogen and 1 mole of oxygen(both considered as ideal). Let
\( f_{1}(v) d v \) denote the fraction of
molecules with speed between v and
\( (\boldsymbol{v}+\boldsymbol{d} \boldsymbol{v}) \) with \( \boldsymbol{f}_{2}(\boldsymbol{v}) \boldsymbol{d} \boldsymbol{v}, \) similarly for
oxygen. then
\( \mathbf{A} \cdot f_{1}(v)+f_{2}(v)=f(v) \) obeys the Maxwell's distribution law
B. \( f_{1}(v), f_{2}(v) \) will obey the Maxwell's distribution law separately
C. Neither \( f_{1}(v) \) nor \( f_{2}(v) \) will obey the Maxwell's distribution law
D. \( f_{2}(v) \) and \( f_{1}(v) \) will be the same | 3 | Physics |
\( \mathbf{f} \mathbf{A}=\left[\begin{array}{ccc}\mathbf{0} & \mathbf{1} & \mathbf{4} \\ \mathbf{- 1} & \mathbf{0} & \mathbf{7} \\ \mathbf{- 4} & \mathbf{- 7} & \mathbf{0}\end{array}\right] \) then \( \mathbf{A}^{\mathbf{T}}= \)
\( A \)
в. - А
\( c \)
D. \( A^{2} \) | 2 | Maths |
\( \frac{x-a}{x-b}+\frac{x-b}{x-a}= \) | 2 | Maths |
If electric field in a region is radially
outward with magnitude \( \boldsymbol{E}=\boldsymbol{A} \boldsymbol{r}, \) the
charge contained in a sphere of radius \( r \) centred at the origin is :
\( ^{\mathbf{A}} \cdot \frac{1}{4 \pi \varepsilon_{0}} A r^{3} \)
В. \( 4 \pi \varepsilon_{0} A r^{3} \)
c. \( \frac{1}{4 \pi \varepsilon_{0}} \frac{A}{r^{3}} \)
D. \( \frac{4 \pi \varepsilon_{0} A}{r^{3}} \) | 3 | Physics |
Choose the correct answer from the
alternatives given. In the pulmonary circuit, the \( _{--} \) hearts
half pumps blood to lungs, then blood flows to the heart.
A. right; oxygen-poor
B. right; oxygen-rich
c. left; oxygen-poor
D. Ieft; oxygen-rich | 0 | Biology |
In an election,there were only two
candidates for the post of president. The winning candidate got \( 53 \% \) of the total votes. His oppponent got 31000 votes which represented \( 31 \% \) of the total votes. Find the number of votes | 2 | Maths |
A piece of copper and another of
germanium are cooled from room temperature to \( 77 \mathrm{K} \), the resistance of :
A. each of them increases
B. each of them decreases
c. copper decreases and germanium increases
D. copper increases and germanium decreases | 3 | Physics |
State the use of echo by a bat, dolphin and fisherman. | 3 | Physics |
The ratio \( \frac{A X}{X D} \) is
\( A \cdot 5 \)
2
B. 6
\( c \cdot 7 \)
\( \overline{3} \)
\( D \) | 2 | Maths |
How does the presence of benzoquinone inhibit the free radical polymerisation of a vinyl derivative? | 1 | Chemistry |
A glass tube of \( 2 \mathrm{m} \) length is filled with
water. The water can be drained out
slowly at the bottom of the tube. If a vibrating tuning fork of frequency 500 \( \mathrm{Hz} \) is brought at the upper end of the tube and the velocity of sound is 300 \( \mathrm{m} / \mathrm{s}, \) then the total number of
resonances obtained will be
\( A \cdot 6 \)
B. 7
\( c \cdot 2 \)
D. | 3 | Physics |
A mass m rotates in a vertical circle of
radius \( \mathrm{R} \) and has a circular speed \( v_{c} \) at
the top. If the radius of the circle is increased by a factor of \( 4, \) circular speed at the top will be
A. decreased by a factor of 2
B. decreased by a factor of 4
c. increased by a factor of 2
D. increased by a factor of 4 | 3 | Physics |
\( X \) is a Normally distributed variable
with mean \( =30 \) and standard deviation
\( =4 . \) Find \( P(x>21) \)
A . 0.9878
B. 0.9383
c. 0.9975
D. 0.9126 | 2 | Maths |
The approximate value of \( (33)^{1 / 5} \) is
A . 2.0125
B. 2.1
c. 2.0
D. none of these | 2 | Maths |
Reading of the voltmeter is
A. \( 2 v \)
B. 2.04
c. \( 1.96 \mathrm{v} \)
D. 1.0 | 3 | Physics |
r.m.s. speed of ideal gas at \( 127^{\circ} \mathrm{C} \) is \( 200 m / s, \) the r.m.s. speed of same ideal
gas at temperature \( 227^{\circ} \mathrm{C} \) is:
A. \( 100 \sqrt{5} \)
5
в. \( 200 \sqrt{5} \)
\begin{tabular}{l}
\( c \cdot 100 \sqrt{15} \) \\
\hline
\end{tabular}
D. \( 100 \sqrt{10} \) | 3 | Physics |
The combination of two layers of opposite charges around the colloidal particle is called Helmholtz electrical double layer. The potential difference between the fixed layer and the diffused layer of opposite charge is called:
A. electrode potential
B. zeta potential
c. adsorption potential
D. diffused potential | 1 | Chemistry |
A ray of light incident normally on the first face of an equilateral prism undergoes total internal reflection at the second face if refractive index \( \mu \) is
A \( \cdot \) less than \( \frac{\sqrt{3}}{2} \)
B. less than \( \frac{2}{\sqrt{3}} \)
c. more than \( \frac{\sqrt{3}}{2} \)
D. more than \( \frac{2}{\sqrt{3}} \) | 3 | Physics |
Statement 1: There can be
displacement of an object even in the absence of any force acting on it. Statement 2: An object in uniform motion in a straight line shows
displacement even when the net force acting on it is zero.
A. Both statement 1 and statement 2 are true and statement 2 is correct explanation of statement
B. Both statement 1 and statement 2 are true, but statement 2 is not correct explanation of statement
c. statement 1 is true but statement 2 is false
D. Statement 1 is false but statement 2 is true | 3 | Physics |
What will be density \( \left(\operatorname{in} g m L^{-1}\right) \) of 3.60 molar sulphuric acid having \( 29 \% \) by mass? \( \left(\text {Molar mass}=\mathbf{9 8 g m L}^{-1}\right) \)
A . 1.88
B. 1.22
\( c \cdot 1.45 \)
D. 1.64 | 1 | Chemistry |
Explain simple microscope on the basis of the following points:
(a) Ray diagram for the formation of image;
(b) Expression for magnifying power when the final image is formed:
(i) At the least distance of distinct
vision;
(ii) At infinity. | 3 | Physics |
In which of the following species hyperconjugation is possible? Stability of carbocation, alkyl free radical and alkene can be explained on the basis of hyperconjugation. In all
these cases there is the presence of
hydrogen atom at the adjacent \( s p^{2} \)
hybridised carbon atom. Total no of
hyperconjugating structures depends upon the no of hydrogen atoms present
at adjacent carbon atom of \( s p^{2} c- \) atom
more the hyperconjugating structure more is the stability of ions.
\( \mathbf{A} \cdot C H_{3}-\stackrel{+}{C H_{2}} \)
B. \( C_{6} H_{5}-C H_{3} \)
\( \mathbf{c} \cdot C H_{2}=C H_{2} \)
D. \( \quad C H_{3}-C_{I_{3}}^{C H_{3}}-C H=C H_{2} \) | 1 | Chemistry |
"Xe \( F_{2} \) and \( X e F_{6} \) can be kept in a dry
pyrex vessels while \( X e F_{4} \) attacks
these."
Answer whether the above statement is
true or false.
If true enter 1 , else 0 | 1 | Chemistry |
The equation of state for a certain gas is \( P=\frac{R T}{V_{m}-b}-\frac{a}{V_{m}}, \) where a and b are
constants distinct from zero. Ascertain
whether the gas has a critical point or
not. Answer as 1 if the gas has critical
point and as \( 2, \) if no critical point. | 1 | Chemistry |
The power loss is less in transmission lines, when :
A. Voltage is less but current is more
B. Both voltage and current are more
c. Voltage is more but current is less
D. Both voltage and current are less | 3 | Physics |
Electric potential is :
A. a scalar quantity
B. a vector quantity
C. neither scalar nor vector
D. sometimes scalar and sometimes vector | 3 | Physics |
Two blocks \( A \) and \( B \) of masses \( 3 m \) and
\( \mathrm{m}, \) respectively, are connected by a massless and inextensible string. The
whole system is suspended by a massless spring as shown. The magnitudes of accelerations of \( A \) and \( B \), immediately after the string is cut, are respectively:
A \( \cdot g, g \)
В. \( g, \frac{g}{3} \)
\( c \cdot \frac{g}{3}, g \)
D. \( \frac{g}{3}, \frac{g}{3} \) | 3 | Physics |
Overall nerves slow down the body and divert energy to digestion and other basic housekeeping tasks; and nerves slow down housekeeping tasks and increase overall activity, in times of heightened awareness or excitement.
A. Autonomic; Somatic
c. Parasympathetic; sympatheticç
D. Peripheral; Central | 0 | Biology |
Uranus has
satellites.
A. 7
B. 17
c. 27
D. 37 | 3 | Physics |
How do mendel's experiments show
that
(a)traits may be dominant or recessive?
(b) inheritance of two traits is
independent of each other | 0 | Biology |
The hybridisation of \( \mathrm{Xe} \) is \( \mathrm{sp}^{3} \mathrm{d}^{2} \) in :
A. \( \mathrm{XeF}_{2} \)
в. \( \mathrm{xe} \mathrm{e}_{4} \)
c. \( \mathrm{xeF}_{4} \)
D. \( \mathrm{xeO}_{3} \) | 1 | Chemistry |
Find the order of the differential
equations of all circles in the plane XOY
which have their centres on x-axis and
have give radius. | 2 | Maths |
ABCD is a square of 1 metre side of a
non-conducting material. Four metallic spheres of 4,5,8 and \( 10 \mathrm{cm} \) diameters are placed at the four corners. All of
them are connected by a fine metallic wire and charge of 540 units is imparted to the system. The potential at the centre of the square is :
(in cgs system)
A \( \cdot \frac{540 \sqrt{2}}{400} \)
B. \( \frac{540 \sqrt{2}}{200} \)
c. \( \frac{540 \sqrt{2}}{100} \)
D. \( \frac{540 \sqrt{2}}{10} \) | 3 | Physics |
Which of the following metals does not produce hydrogen gas when added to
acid?
A. Potassium
B. Gold
c. zinc
D. Leadd | 1 | Chemistry |
In the fig. \( A P \) and \( B P \) are the tangents draw from an external point P. Prove
that \( \angle A O B \) and \( \angle A P B \) are
supplementary | 2 | Maths |
The crossection of a canal is a
trapezium. The breadths of the top and
bottom of the canal are \( 8 m \) and \( 6 m \)
respectively. If the earth of volume \( 112 \times 10^{4} m^{3} \) is taken out to build the
canal of \( 50 \mathrm{km} \) long, then the depth of the canal will be
\( \mathbf{A} \cdot 3.2 m \)
B. \( 3.8 m \)
c. \( 4.0 m \)
D. 4.2 \( m \) | 2 | Maths |
Veena's car radio will run from a \( 12 \vee \) car
battery that produces a current of 0.20 A even when the car engine is turned off The car battery will not longer operate when it has lost \( 1.2 \times 10^{6} J \) of energy. If
Veena gets out of the car, leaving the radio on by mistake, how long will it
take for the car battery to go completely dead, i.e., lose all energy? | 3 | Physics |
HI cannot be prepared by the action of
conc. \( \boldsymbol{H}_{2} \boldsymbol{S} \boldsymbol{O}_{4} \) on \( \mathrm{K} \) I because \( \boldsymbol{H}_{2} \boldsymbol{S} \boldsymbol{O}_{4} \) is
\( -? \)
A. oxidising agent
B. reducing agent
c. A and B
D. None of these | 1 | Chemistry |
Cytokinesis refers to
A. Division of chromosomes
B. Division of cytoplasm
C. Division of nucleus
D. None of the above | 0 | Biology |
A horse is placed for grazing inside a
rectangular field \( 70 m \) by \( 52 \mathrm{m} \) and is
tethered to one corner by a rope \( 21 \mathrm{m} \)
long. On how much area can it graze?
A \( .346 .5 \mathrm{cm}^{2} \)
В. \( 360 \mathrm{cm}^{2} \)
c. \( 350.5 \mathrm{cm}^{2} \)
D. \( 380 c m^{2} \) | 2 | Maths |
Two circular coils of radii \( 5 \mathrm{cm} \) and 10
cm carry currents of 2 A.The coils have 50 and 100 turns respectively and are placed in such a way that their planes as well as their centres
coincide.Magnitude of magnetic field at the common centre of coil is
This question has multiple correct options
A. \( 8 \pi \times 10^{-4} T \) if currents in the coils are in same ser
B . \( 4 \pi \times 10^{-4} T \) if currents in the coils are in opposite
sense
c. zero if currents in the coils are in opposite sense
D. \( 8 \pi \times 10^{-4} T \) if currents in the coils are in opposite
sense | 3 | Physics |
Define the following terms with a suitable example of each:
(a) Tranquilizers
(b) Antibiotics
(c) Non-ionic detergents | 1 | Chemistry |
Find the equation of the ellipse whose
vertices are \( (\pm \mathbf{3}, \mathbf{0}) \) and foci are
(±2,0) | 2 | Maths |
Which one of the following compounds is an isomer of 1-butanol?
A. 2-Methyl-2-butanol
B. 1-Methy|-2-butanol
c. 3-Methyl-2-butanol
D. 2-Methyl-1-propanol | 1 | Chemistry |
Modes of controlling pollution in large cities include(s):
A. less use of insecticides
B. proper disposal of organic wastes, sewage and industrial effluents
c. shifting of factories out of the residential area
D. all the above | 1 | Chemistry |
A game of chance consists of spinning an arrow which is equally likely to come to rest pointing to one of the number \( 1,2,3, \dots \dots ., 12 \) as shown in figure. What is the probability that it will point to multiple of \( 4 ? \)
\( A \cdot \frac{1}{2} \)
B. \( \frac{1}{3} \)
\( c \cdot \frac{1}{4} \)
D.
E. None of these | 2 | Maths |
Assertion
A particle has constant acceleration is
x-y plane. But neither of its acceleration
components \( \left(a_{x} \text { and } a_{y}\right) \) is zero. Under
this condition particle can not have
parabolic path.
Reason
In projectile motion, horizontal component of acceleration is zero.
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 | 3 | Physics |
What Benjamin Franklin invented?
A. Bifocal spectacles
B. Radio
c. Barometer
D. Hygrometer | 3 | Physics |
A stone thrown upwards with speed \( u \) attains maximum height \( h \). Another stone thrown upwards from the same
point with sapped \( 2 u \) attains maximum
height \( \boldsymbol{H} \). What is the relation between
\( h \) and \( H ? \)
A. \( 2 h=H \)
\( H \)
в. \( 3 h=H \)
\( c \cdot 4 h=H \)
D. \( 5 h=H \) | 3 | Physics |
is a suitable technique of separation of the components from a mixture of calcium sulphate and camphor.
A. Sublimation
B. Distillation
c. Sedimentation
D. None of the above | 3 | Physics |
Solve the inequalities for real \( x \) \( \frac{3(x-2)}{5} \leq \frac{5(2-x)}{3} \) | 2 | Maths |
Select the incorrect statement(s).
This question has multiple correct options
A. All Arrhenius acids are also Bronsted acids but all
Arrhenius bases are not Bronsted bases.
B. All Lewis bases are Bronsted bases.
C. All Bronsted acids are Lewis acids.
D. Conjugate base of a strong acid is weak. | 1 | Chemistry |
Find \( \left|\begin{array}{lll}\log e & \log e^{2} & \log e^{3} \\ \log e^{2} & \log e^{3} & \log e^{4} \\ \log e^{3} & \log e^{4} & \log e^{5}\end{array}\right| \)
\( A \)
B.
\( c .4 \log e \)
\( \mathbf{D} \cdot 5 \log e \) | 2 | Maths |
of same length but made up of different
materials and kept as shown, an be, if
the meeting point is the origin of \( c 0 \)
ordinates
\( ^{\mathrm{A}} \cdot\left(\frac{L}{2}, \frac{L}{2}\right) \)
B \( \cdot\left(\frac{2 L}{3}, \frac{L}{2}\right) \)
c. \( \left(\frac{L}{3}, \frac{L}{3}\right) \)
D \( \cdot\left(\frac{L}{3}, \frac{L}{6}\right) \) | 3 | Physics |
In a series LCR circuit,the inductive
reactance is twice the resistance and the capacitance reactance is \( \frac{1}{3}^{r d} \) the
inductive reactance. The power factor of
the circuit is:
A . 0.5
B. 0.6
\( c .0 .8 \)
D. | 3 | Physics |
How is an electromagnet different from a permanent magnet? | 3 | Physics |
Energy flow and energy transformations of a living system follow:
A. Law of limiting factors
B. Law of thermodynamics
c. Leibig's law of minimum
D. Biogenetic law | 1 | Chemistry |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.