text
stringlengths 1
4.32k
| label
int64 0
3
| label_text
stringclasses 4
values |
|---|---|---|
To stop a heavy vehicle moving with high velocity, a device working on Pascal's law is used, That device is
A. hydraulic lift
B. hydraulic brake
c. hydraulic jack
D. none | 3 | Physics |
What is the percent \( \boldsymbol{X} \) by mass for
compound \( X Y_{2} \) if compound \( X Y \) is 74
\( \% X \) by mass?
A . \( 25 \% \) \%
B . \( 40 \% \)
c. \( 60 \% \)
D. 75\% | 1 | Chemistry |
Solve \( : \tan ^{-1}\left(\frac{x-1}{x-2}\right)+ \)
\( \tan ^{-1}\left(\frac{x+1}{x+2}\right)=\frac{\pi}{4} \) | 2 | Maths |
\( \boldsymbol{y}=\boldsymbol{x}^{3}-\boldsymbol{3} \boldsymbol{x}+\boldsymbol{2} \)
Find \( \frac{d y}{d x} \) if the given function is
continuous. | 2 | Maths |
The direction ratios of a vector are
\( 2,-3,4 . \) Find its direction cosines | 2 | Maths |
If \( \boldsymbol{y}= \)
\( \tan ^{-1}\left(\cot \left(\frac{\pi}{2}-x\right)\right) \) then \( \frac{d y}{d x}= \)
\( A \)
B. - -
\( c \cdot 0 \)
D. | 2 | Maths |
Assertion
Emphysema is a chronic disorder in which alveolar walls are damaged.
Reason
Emphysema is closely related to cigarette smoking.
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 | 0 | Biology |
The highest magnetic moment is shown by the transition metal ion with which of
the following outermost electronic configuration?
\( A \cdot 3 d^{2} \)
в. \( 3 d^{5} \)
\( c \cdot 3 d^{7} \)
D. \( 3 d^{9} \) | 1 | Chemistry |
A wire carrying current of \( 10 A \) supports
a wire of \( 10 \mathrm{cm} \) long and weighing \( 1 \mathrm{g} \)
vertically above it at a distance of \( 1 \mathrm{cm} \)
The current that is passing through the wire is :
\( \mathbf{A} \cdot 490 A \)
B . \( 205 A \)
\( c \cdot 408 A \)
D. \( 316 A \) | 3 | Physics |
A physical quantity \( Q \) is found to depend on observables \( x, y \) and \( z \) obeying relation \( Q=\frac{x^{2 / 5} z^{3}}{y} . \) The
percentage error in the measurements of \( x, y \) and \( z \) are \( 1 \%, 2 \% \) and \( 4 \% \)
respectively. What is percentage error in the quantity \( Q \) will be :
\( A \cdot 5 \% \)
в. \( 4.5 \% \)
c. \( 11 \% \)
D. \( 7.75 \% \) | 3 | Physics |
The term independent of \( x \) in the
binomial expansion of \( \left(1-\frac{1}{x}+3 x^{5}\right)\left(2 x^{2}-\frac{1}{x}\right)^{8} \)
\( \mathbf{A} \cdot-496 \)
B . -400
c. 496
D. 400 | 2 | Maths |
Among \( N H_{3}, P H_{3}, A s H_{3} \) and \( S b H_{3} \)
which one is a strongest reducing agent?
A \( \cdot N H_{3} \)
в. \( P H_{3} \)
c. \( A s H_{3} \)
D. \( S b H_{3} \) | 1 | Chemistry |
Given, \( f(x)= \) sum of all natural
numbers which can divide \( x \) completely Find \( : \$ \$ f(6) \$ \$ \) | 2 | Maths |
An ideal gaseous mixture of ethane and ethene occupy \( 28 L \) as STP. The mixture
required \( 128 g O_{2} \) combustion, mole fraction of ethene in the mixture is:
A . 0.4
B. 0.5
c. 0.6
D. 0.8 | 1 | Chemistry |
A current carrying small loop behaves like a small magnet. If \( A \) be its area and
\( M \) its magnetic moment, the current in the loop will be
A. \( M / A \)
в. \( A / M \)
\( c . M A \)
D. \( A m^{2} \) | 3 | Physics |
What is rotatory motion? | 3 | Physics |
Explain the term EMF | 3 | Physics |
If \( 4 x^{4}-12 x^{3}+x^{2}+3 a x-b \) is divided
by \( x^{2}-1 \) then \( a=-1 \)
\( b= \)
\( \mathbf{A} \cdot 5,4 \)
в. 4,9
\( c \cdot 4,5 \)
D. 1,-1 | 2 | Maths |
Lateral inversion is generally seen in
case of:
A. convex mirror
B. concave mirror
c. plane mirror
D. all of the above | 3 | Physics |
Assertion
In trigonal bipyramidal structure two axial bonds are longer than the
equitorial bonds.
Reason
Axial bonds suffer more repulsion as
compared to equitorial bonds.
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 |
Liquids can flow. Why? We can keep a gas in an open container.
Do you agree? Given reason. | 3 | Physics |
The ratio of the concentration of electrons to that of holes in a semiconductor is \( \frac{7}{4}, \) then what is the ratio of their drift velocities:
A \( \cdot \frac{5}{8} \)
B. \( \frac{4}{5} \)
\( c \cdot \frac{5}{4} \)
\( D \cdot \frac{4}{7} \) | 3 | Physics |
If the first term in a geometric sequence is \( 3, \) and if the third term is
\( 48, \) find the \( 11^{t h} \) term.
A . 228
в. 528
c. 110592
D. 3145728
E . 12582912 | 2 | Maths |
A straight line drawn through (1,2)
intersects \( x+y=4 \) at a distance \( \frac{\sqrt{6}}{3} \)
from \( (1,2) . \) The angle made by the line with the positive direction of \( x \) -axis
is \( \alpha . \) Find the greater of the two values
of \( \boldsymbol{\alpha} \)
A . \( 105^{\circ} \)
B \( \cdot 75^{\circ} \)
\( c \cdot 60^{0} \)
D. \( 15^{\circ} \) | 2 | Maths |
Which of the following pollutants cannot be degraded by natural process?
A . DDT
B. Nuclear Waste
c. Heavy Metalss
D. All of the above | 1 | Chemistry |
In an experiment, it is found that \( 2.0769 g \) of pure \( X \) produces \( 3.6769 g \) of
pure \( X_{2} O_{5} . \) The number of moles of \( X \)
is:
A . 0.04
B. 0.06
c. 0.40
D. 0.02 | 1 | Chemistry |
A particle of mass m strikes a horizontal smooth floor with a velocity u
making an angle \( \theta \) with the floor and rebounds with velocity v making an angle \( \phi \) with the floor. The coefficient of
restitution between the particle and the floor is e. Then
A. the impluse delivered by the floor to the body is \( m u(1-e) \sin \theta \)
B. \( \tan \phi=\operatorname{etan} \theta \)
c. \( v=u \sqrt{1-\left(1+e^{2}\right) \sin ^{2} \theta} \)
D. the ratio of the final kinetic energy to the initial kinetic energy is \( \cos ^{2} \theta+\operatorname{esin}^{2} \theta \) | 3 | Physics |
In Solar cooker:
A. Electricity is used to cook food
B. Chemical energy is converted to electrical energy
C. Radiation from the sun is used to cook food
D. Heat energy is converted light energy | 3 | Physics |
Let \( X \) be the solution set of the equation \( \boldsymbol{A}^{x}=\boldsymbol{I}, \) where \( \boldsymbol{A}=\left[\begin{array}{ccc}\mathbf{0} & \mathbf{1} & \mathbf{- 1} \\ \mathbf{4} & \mathbf{- 3} & \mathbf{4} \\ \mathbf{3} & \mathbf{- 3} & \mathbf{4}\end{array}\right] \) and
is the corresponding unit matrix and
\( \boldsymbol{x} \subseteq \boldsymbol{N}, \) then the minimum value of
\( \sum\left(\cos ^{x} \theta+\sin ^{x} \theta\right), \theta \in R \) | 2 | Maths |
How many of the structures (A to D) in
the following diagram are diploid?
\( \mathbf{A} \)
\( B \)
\( c \)
\( D \) | 0 | Biology |
If \( a=2 \overline{3}+2 \overline{3}, \) then
A. \( a^{3}-6 a-6=0 \)
В . \( a^{3}-6 a+6=0 \)
c. \( a^{3}+6 a-6=0 \)
D. \( a^{3}+6 a+6=0 \) | 2 | Maths |
\( G_{2} \) phase occurs between
\( A \cdot G_{1} \) and \( S \)
B. \( M \) and \( s \)
c. s and M
D. \( G_{1} \) and \( M \) | 0 | Biology |
Arrange following oxides in increasing
acidic nature.
\( \boldsymbol{L} \boldsymbol{i}_{2} \boldsymbol{O}, \boldsymbol{B} \boldsymbol{e} \boldsymbol{O}, \boldsymbol{B}_{2} \boldsymbol{O}_{3} \)
A. \( L i_{2} O<B e O<B_{2} O_{3} \)
в. \( B e O<L i_{2} O<B_{2} O_{3} \)
c. \( L i_{2} O<B_{2} O_{3}<B e O \)
D. None of these | 1 | Chemistry |
At \( 298 K, \) the equilibrium constant of reaction.
\( Z n^{+2}+4 N H_{3} \rightleftharpoons\left[Z n\left(N H_{3}\right)_{4}\right]^{+2} \) is
\( \mathbf{1 0}^{\mathbf{9}} \)
If \( \boldsymbol{E}_{\left[Z n\left(N H_{3}\right)_{4}\right]^{+2} / Z n+4 N H_{3}}^{o}=-1.03 V . \) The
value \( \boldsymbol{E}_{\boldsymbol{Z n} / \boldsymbol{Z} \boldsymbol{n}^{+2}} \) will be:
A. \( 0.7645 v \)
B . -1.1
\( c .+1.1 v \)
D. none of these | 1 | Chemistry |
Show that \( \left(\frac{1}{a+} \frac{1}{b+} \frac{1}{c+} \dots\right)\left(c+\frac{1}{b+} \frac{1}{a+} \frac{1}{c_{1}} \dots .\right)= \)
\( \frac{1+b c}{1+a b} \) | 2 | Maths |
Using integration find the area of the triangular region whose sides have the
equations \( \boldsymbol{y}=\mathbf{2} \boldsymbol{x}+\mathbf{1}, \boldsymbol{y}=\mathbf{3} \boldsymbol{x}+\mathbf{1} \) and
\( \boldsymbol{x}=\mathbf{4} \) | 2 | Maths |
\( \operatorname{Given} \frac{x-x \tan ^{2} 30^{\circ}}{1+\tan ^{2} 30^{\circ}}=\sin ^{2} 30^{\circ}+ \)
\( 4 \cot ^{2} 45^{\circ}-\sec ^{2} 45^{\circ} . \) Then the value of
\( \boldsymbol{x} \)
\( A \cdot \frac{3}{2} \)
в. \( \frac{5}{2} \)
\( c \cdot \frac{9}{2} \)
D. none of these | 2 | Maths |
Write the pair of vertically opposite
angles. | 2 | Maths |
The blood circulation in human heart
is called as
A. Triple circulation
B. Double circulation
c. Quadruple circulation
D. single circulation | 0 | Biology |
Arrange the following hydrocarbons in the increasing order of volume of oxygen required for complete
combustion per mole under the same
conditions.
(a) Ethane
(b) Propyne
(c) Ethyne
(d) Propene
(e) Propane
(f) Ethene
A. \( c<f<a<b<d<e \)
в. \( e<d<b<a<f<c \)
c. \( c<b<f<d<a<e \)
D. \( e<b<d<f<a<c \) | 1 | Chemistry |
In the given figure, \( A B C D \) is a
rhombus in which \( \angle B C D=110^{\circ}, \) find
\( (x+y) \) | 2 | Maths |
What are the possible products?
\[
\widehat{\mathrm{NH}_{2}} \stackrel{\mathrm{HNO}_{2}}{\longrightarrow}
\] | 1 | Chemistry |
State the whether given statement is
true or false
If the \( 9^{t h} \) term of an \( A . P . \) is zero, then
show that the \( 29^{t h} \) term is twice the
\( 19^{t h} \) term
A . True
B. False | 2 | Maths |
A fiat circular coil, carrying a current,
has a magnetic moment \( \mu \)
This question has multiple correct options
A. \( \mu \) has only magnitude; it does not have direction
B. the direction of \( \mu \) is along the normal to the plane of the coil
C. the direction of \( \mu \) depends on the direction of the current flow
D. the direction of \( \mu \) does not change if the current in the coil is reversed | 3 | Physics |
Say true or false. The distance of the point (5,3) from the \( X \) -axis is 5 units.
A . True
B. False | 2 | Maths |
Increase in nuclear charge of an atom decreases the tendency of the atom to loose electrons.
A. True
B. False | 1 | Chemistry |
A resistance of \( 50 \Omega \) is registered when
two electrodes are suspended into a beaker containing a dilute solution of a
strong electrolyte such that exactly half of the them are submerged into solution. If the solution is diluted by
adding pure water (negligible conductivity) so as to just completely submerge the electrodes, the new resistance offered by the solution would
be:
A . \( 50 \Omega \)
B. \( 100 \Omega \)
\( c .25 \Omega \)
D. 200 \( \Omega \) | 1 | Chemistry |
Out of the following, whose velocity is equal to that of light?
A. of \( \beta \) rays
B. of sound waves
c. of ultrasonic waves
D. none of these | 3 | Physics |
Milk is colloid in which:
A. liquid is dispersed in liquid
B. gas is dispersed in water
C. sugar is dispersed in water
D. solid is dispersed in liquid | 1 | Chemistry |
Coal is a fossil fuel and it cannot be
prepared in a laboratory or industry because the formation of coal:
a. is very slow process.
b. needs very low pressure and low
temperature.
c. needs very high pressure and high
temperature.
d. causes air pollution.
Select the correct alternative.
\( A \cdot a, c \) and \( d \)
B. b and d
\( c \cdot c \) and \( a \)
D. dand c | 1 | Chemistry |
Gas cap over crude oil is formed by:
A. methane
B. natural gas
c. butane
D. producergas | 1 | Chemistry |
The domain of function \( y=\log _{3}(5+ \)
\( \left.4 x-x^{2}\right) \) is
A \( .(0,2] \)
B . \( (-\infty,-1) \cup(5, \infty) \)
c. (0,9]
D. (-1,5) | 2 | Maths |
If the function \( f(x) \) satisfies \( \lim _{x \rightarrow 1} \frac{f(x)-2}{x^{2}-1}=\pi, \) then \( \lim _{x \rightarrow 1} f(x)= \)
A . 2
B. 3
c. 1
D. | 2 | Maths |
\( \lim _{x \rightarrow 0} \frac{\sin x-\frac{x}{6}}{6 x}=? \)
A \( \cdot \frac{5}{36} \)
B. \( \frac{2}{360} \)
c. \( \frac{7}{360} \)
D. \( \frac{11}{360} \) | 2 | Maths |
In a first order reaction with time the
concentration of the reactant
decreases:
A. Linearly
B. Exponentially
c. No change
D. None of these | 1 | Chemistry |
Prove that \( \frac{C_{1}}{C_{0}}+\frac{2 C_{2}}{C_{1}}+\frac{3 C_{3}}{C_{2}}+\ldots+\frac{n \cdot C_{n}}{C_{n-1}}= \)
\( \frac{n(n+1)}{2} \) | 2 | Maths |
If \( \operatorname{Arg}(z+i)-\operatorname{Arg}(z-i)=\frac{\pi}{2}, \) then \( z \)
lies on a circle.
If statement is True, enter 1 , else enter 0 | 2 | Maths |
Construct a frequency distribution
table for the data on weights \( (\text { in } k g \) ) of
20 students of a class using intervals \( 30-35,35-40 \) and so on
\( \mathbf{3 9}, \mathbf{3 8}, \mathbf{4 7}, \mathbf{4 4}, \mathbf{4 2}, \mathbf{6 5}, \mathbf{4 9}, \mathbf{5 5}, \mathbf{4 9}, \mathbf{3 6}, \mathbf{3 4}, \mathbf{4} \)
Also, draw histrogram for the above data | 2 | Maths |
Statements:
(i) All rats are cats.
(ii) All cats are dogs.
Conclusions:
(i) All rats are dogs.
(ii) Some cats are rats.
A. Only conclusion I is true
B. Only conclusion Il is true
c. Both conclusion I and II are true
D. Neither conclusionl nor conclusion II is true | 2 | Maths |
geometric interpretation. namely, a function \( f \) defined on an interval lis
continuous on I if its graph has no 'holes' or 'jumps'.f is said to have a removable discontinuity at \( c \) if \( f(x) \) has
a limit at \( c \) but \( \lim \lim _{x \rightarrow c} f(x) \neq f(c) \)
If \( \lim _{x \rightarrow c+} f(x) \) and \( \lim _{x \rightarrow c-} f(x) \) exist
but are not equal then \( c \) is called jump discontinuity.
If \( \lim _{x \rightarrow c+} f(x) \) and \( \lim _{x \rightarrow c-} f(x) \) fail to
exist then c is called infinite
discontinuity.
\( \operatorname{Let} g(x)=\left\{\begin{array}{ll}x^{2}+5 & x<2 \\ 10 & x=2 \text { then } x=2 \\ 1+x^{3} & x>2\end{array}\right. \)
A. a point of continuity
B. is a removable discontinuity
C. is a jump discontinuity
D. is.an infinite discontinuity | 2 | Maths |
Which of the following enzymes are not proteinaceous in nature?
A. Kinetase
B. Ribozyme
c. carboxylase
D. Catalase | 0 | Biology |
A freshly formed precipitate of \( S n O_{2} \) is
peptized by a small amount of NaOH. These colloidal particles may be represented as :
\( \mathbf{A} \cdot\left[S n O_{2}\right] S n O_{3}^{2-} ; 2 N a^{\oplus} \)
B . \( \left[S n O_{2}\right] S n^{4+} ; O^{2-} \)
c. \( \left[S n O_{2}\right] N a^{\oplus} ; O H^{\ominus} \)
D \( \cdot\left[\operatorname{Sn} O_{2}\right] S n^{4+} ; O H^{\oplus} \) | 1 | Chemistry |
The magnetic moment of \( M^{x+} \) (atomic number \( =25 \) ) is \( \sqrt{15} . \) Then, the
oxidation number \( x \) of \( M \) is:
A . 4
B. 3
\( c \cdot 2 \)
D. none of these | 1 | Chemistry |
A ball of mass \( 50 \mathrm{g} \) is thrown upwards. Its rises to a maximum height of \( 100 \mathrm{m} \) At what height its kinetic energy will be
reduced to \( 70 \% \) :
A. 30 m
B. \( 40 \mathrm{m} \)
\( c . \) 60m
D. 70m | 3 | Physics |
An ideal gas \( (\gamma=1.5) \) is expanded
adiabatically. How many times has the gas to be expanded to reduce the root mean square velocity of the molecules
2.0 times?
A. 4 times
B. 16 times
\( c .8 \) times
D. 2 times | 1 | Chemistry |
If \( ^{49} \boldsymbol{C}_{3 r-2}=^{49} \boldsymbol{C}_{2 r+1} \) find \( ^{\prime} \boldsymbol{r}^{\prime} \) | 2 | Maths |
In cyamide extraction process of silver from argentite ore, the oxidising and
reducing agents are respectively.
\( A \cdot O_{2} \) and \( C O_{2} \)
B. \( O_{2} \) and \( Z n \) dust
\( \mathrm{c} . H N O_{3} \) and \( Z n \) dust
D. \( H N O_{3} \) and \( C O \) | 1 | Chemistry |
The color of \( C o C l_{3} .5 N H_{3} . H_{2} O \) is:
A . red
B. orange
c. orange-yellow
D. pink | 1 | Chemistry |
The buckling of a beam is found to be
more if
A. The breadth of the beam is large
B. The beam material has large value of Young's modulus
c. The length of the beam is small
D. The depth of the beam is small | 3 | Physics |
The pressure on a swimmer \( 20 \mathrm{m} \) below the surface of water at sea level is
A. 1.0 atm
B. 2.0 atm
\( c .2 .5 \mathrm{atm} \)
D. 3.0 atm | 3 | Physics |
A magnifying glass has \( f=12 \) cm Where shall an object be placed to produce maximum angular magnification? Least distance of clear vision \( =25 \mathrm{cm} \)
A. \( 7.1 \mathrm{cm} \)
B. \( 6.8 \mathrm{cm} \)
\( c \cdot 8.4 \mathrm{cm} \)
D. 8.1 \( \mathrm{cm} \) | 3 | Physics |
The maximum possible number of hydrogen bonds, a water molecule can form is?
A .4
B. 3
\( c \cdot 2 \)
D. | 1 | Chemistry |
Solve \( \frac{\sin \theta+\cos \theta}{\sin \theta-\cos \theta}+\frac{\sin \theta-\cos \theta}{\sin \theta+\cos \theta}= \)
\( \frac{2 \sec ^{2} \theta}{\tan ^{2} \theta-1} \) | 2 | Maths |
Two homogeneous spheres \( A \) and \( B \) masses \( \mathrm{m} \) and \( 2 \mathrm{m} \) having radii \( 2 \mathrm{a} \) and a respectively are placed in touch. The distance of centre of mass from first
sphere is:
\( A \)
B. 2a
c. 3a
D. None of these | 3 | Physics |
Obtain expressions for the center of mass of a system consisting of
(A) two particles
(B) a large number of particles. | 3 | Physics |
Which of the following has lowest oxidising power?
A. Halous acid
B. Halic acid
c. Hypohalous acid
D. All are same | 1 | Chemistry |
Among the following liquids, specific
heat is minimum for
A. acetone
B. water
c. bromine (liquid)
D. ammonia (liquid) | 3 | Physics |
The following real numbers have decimal expansions as given below. In each case, decide whether they are
rational or not. If they are rational and of the from \( \frac{p}{q}, \) what can you say about the prime factors of \( q ? \)
¡) 43.123456789 | 2 | Maths |
Arrangement of sepals and petals with respect to each other in flower bud is
A. Aestivation
B. Phyllotaxy
c. Vernation
D. Venation | 0 | Biology |
In the reaction of benzene with an
electrophile \( E^{+}, \) the structure of the
intermediate \( \sigma \) -complex can be
represented as:
\( A \)
в.
\( c \)
D. | 1 | Chemistry |
In an election between two candidates,
the candidate who gets \( 30 \% \) of the votes polled is defeated by 15000 votes.What is the number of votes polled for the winning candidate?
A . 37500
B. 30000
c. 26250
D. 11250 | 2 | Maths |
If an electron is moving with velocity \( \bar{v} \) produces a magnetic field \( \bar{B} \), then
A. the direction of field \( \bar{B} \) will be same as the direction of
velocity \( \bar{v} \)
B. the direction of field \( \bar{B} \) will be opposite as the direction of velocity \( \bar{v} \)
C. the direction of field \( \bar{B} \) will be perpendicular as the direction of velocity \( \bar{v} \)
D. the direction of field \( \bar{B} \) does not depend upon the direction of velocity \( \bar{v} \) | 3 | Physics |
Sedum is a long day plant. Its critical duration of light is 13 hours Under which of the following conditions would it flower?
[Key: \( \square \) = Period of light \( \quad \) Period of darkness
\( A \cdot C \)
в. \( \cap \)
\( c \cdot C \) | 0 | Biology |
Ramu got injured while playing Kabaddi. His blood clotted within
6 minuteS. Write the procedure involved in it. | 0 | Biology |
In \( B r F_{3} \) molecule, the lone pairs
occupy equatorial positions to
minimize:
A. bond pair bond pair repulsion only
B. Ione pair lone pair repulsion and lone pair bond pair repulsion
C. lone pairlone pair repulsion only
D. lone pairbond pair repulsion only | 1 | Chemistry |
In the basic \( C s C l \) crystal structure,
\( C s^{+} \) and \( C l^{-} \) ions are arranged in a bcc
configuration as shown in the figure. The net electrostatic force exerted by
the eight \( C s^{+} \) ions on the \( C l^{-} \) ion is :
\( ^{A} \cdot \frac{1}{4 \pi \varepsilon_{0}} \frac{4 e^{2}}{3 a^{2}} \)
B. \( \frac{1}{4 \pi \varepsilon_{0}} \frac{16 e^{2}}{3 a^{2}} \)
c. \( 1 \frac{32 e^{2}}{3 a^{2}} \)
\( D \) | 3 | Physics |
Find general solution of \( y-x \frac{d y}{d x}= \)
\( b\left(1+x^{2} \frac{d y}{d x}\right) \) is:
\( \begin{array}{ll}\text { A. } & b+k x=y(1+b x)\end{array} \)
В. \( \quad b+k y=x(1+b x) \)
\( \begin{array}{ll}\text { c. } & b+k y=x(1+b y)\end{array} \)
D. \( \quad b+k x=x(1+b y) \) | 2 | Maths |
Four point charges, each equal to \( q=4 \mu C \)
are held at the corners of a square ABCD of side \( a=10 \mathrm{cm} . \) Find the magnitude and sign of a charge \( Q \) placed at the centers of the square so that the system of charges is in equilibrium. | 3 | Physics |
Which of the following is incorrect
statement?
A. The heats of hydration of the dipositive alkaline earth metal ions decrease with an increase in their ionic size
B. \( N a N O_{3} \) forms \( N a_{2} O \) on heating
C. Hydration energy of alkali metal ion is less than that of II \( A \)
D. Alkaline earth metal ions, because of their much large charge to size ratio, exert a much stronger electrostatic attraction on the oxygen of water molecule surrounding them | 1 | Chemistry |
For the reaction, \( \boldsymbol{H}_{2}(\boldsymbol{g})+\boldsymbol{B} \boldsymbol{r}_{2}(\boldsymbol{g}) \rightarrow \)
\( 2 H B r(g), \) then reaction rate\( = \)
\( \boldsymbol{K}\left[\boldsymbol{H}_{2}\right]\left[\boldsymbol{B} \boldsymbol{r}_{2}\right]^{1 / 2} . \) Which statement is
true about this reaction:
A. The reaction is of second order
B. Molecularity of the reaction is \( 3 / 2 \)
c. The unit of \( k \) is sec \( ^{-1} \)
D. Molecularity of the reaction is 2 | 1 | Chemistry |
Why we do not observe de Broglie wave in daily life? | 3 | Physics |
The electropositive character is the maximum for which of the following elements in group 13?
\( A . A l \)
B. B
c. Ga
D. In | 1 | Chemistry |
The conductivity of an electrolytic
solution decreases on dilution due to:
A. decrease in number of ions per unit volume
B. increase in ionic mobility of ions
C. increase in percentage ionisation
D. increase in number of ions per unit volume | 1 | Chemistry |
Few values are given in the table in the
direction from left to right and top to
bottom. Predict the property which
could be depicted in the table.
A. Atomic number
B. Ionisation enthalpy
c. Atomic radius
D. Electron gain enthalpy | 1 | Chemistry |
Give an account of different type of symmetry in animals along with body cavity \( \& \) its various types
Or
Briefly describe the various animal body plans with example | 0 | Biology |
If the \( \% \) composition of \( \mathrm{Cl} \) in \( \mathrm{HCl} \) is \( 46 \% \) what is the mass of Cl in HCl?
A. \( 13.3 \mathrm{g} \)
в. 66 g
\( c \cdot 25 g \)
D. 16.76 g | 1 | Chemistry |
The laws of reflection hold true for:
A. plane mirrors only
B. concave mirrors only
c. convex mirrors only
D. all reflecting surfaces | 3 | Physics |
A transverse harmonic wave on a string is described by
\( \boldsymbol{y}(\boldsymbol{x}, \boldsymbol{t})=\mathbf{3} \cdot \mathbf{0} \sin (\mathbf{3 6} \boldsymbol{t}+\mathbf{0 . 0 1 8} \boldsymbol{x}+\boldsymbol{\pi} / \mathbf{4}) \)
where \( x \) and \( y \) are in \( c m \) and \( t \) in s. The
positive direction of \( x \) is from left to
right.
(a) Is this a travelling wave or a stationary wave? If it is travelling what are the speed and direction of its propagation?
(b) What are its amplitude and
frequency?
(c) What is the initial phase at the
origin?
(d) What is the least distance between
two successive crests in the wave? | 3 | Physics |
Evaluate: \( \int \frac{(x-1)(x-2)(x-3)}{(x-4)(x-5)(x-6)} d x \) | 2 | Maths |
Discuss the continuity and differentiability of \( \boldsymbol{f}(\boldsymbol{x})=|\log | \boldsymbol{x} \| \) | 2 | Maths |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.