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The oxidation state of \( A, B, \) and \( C \) in a
compound are +2,+5 and -2 respectively. The compound is :
\( \mathbf{A} \cdot A_{2}(B C)_{2} \)
B \( \cdot A_{2}(B C)_{3} \)
\( \mathbf{c} \cdot A_{3}\left(B C_{4}\right)_{2} \)
D. \( A_{2}\left(B C_{4}\right)_{3} \)
| 1 |
Chemistry
|
For a given material Young's modulus is
2.4 times that of its rigidity modulus. Its Poisson's ratio is
A . 2.4
B. 1.2
\( c .0 .4 \)
D. 0.2
| 3 |
Physics
|
\( f(x)=\frac{1-\cos (1-\cos x)}{x^{4}} \) is continuous at
\( x=0, \) then \( f(0)= \)
A \( \cdot \frac{1}{2} \)
B.
\( c \cdot \frac{1}{6} \)
D.
| 2 |
Maths
|
The formula of phosgene is \( C O C l_{2} \) If true enter 1 , else 0
| 1 |
Chemistry
|
A tank, which is open at the top,
contains a liquid up to a height \( \boldsymbol{H} . \mathbf{A} \)
small hole is made in the side of a tank
at a distance y below the liquid surface.
The liquid emerging from the hole lands at a distance \( x \) from the tank.
his question has multiple correct options
A. If \( y \) is increased from zero to \( H, x \) will first increase and then decrease
B. x is maximum for \( y=H / 2 \).
c. The maximum value of \( x \) is \( H \)
D. The maximum value of \( x \) will depend on the density of the density of the liquid.
| 3 |
Physics
|
Any device or drug which prevents pregnancy in women is called
| 0 |
Biology
|
Using truth tables, examine whether
the statement pattern \( (\boldsymbol{p} \wedge \boldsymbol{q}) \vee(\boldsymbol{p} \wedge \boldsymbol{r}) \)
is a tautology, contradiction or contingency
| 2 |
Maths
|
Soil erosion is more where
A. Rainfall is high
B. No rainfall
C. Low rainfall
D. None of the above
| 0 |
Biology
|
A wall is made up of square bricks of unit length. Then its area is
A. 1 sq unit
B. 3 sq units
c. 20 sq units
D. 24 sq units
| 2 |
Maths
|
Write the relation between standard
deviation of a set of scores and
its variance
| 2 |
Maths
|
What is the product of the following
reaction?
| 1 |
Chemistry
|
\( D L \) and \( B M \) are the height on sides
\( A B \) and \( A D \) respectively of parallelogram \( A B C D \) figure. If the area
of the parallelogram is \( 1470 \mathrm{cm}^{2} \) \( A B=35 \mathrm{cm} \) and \( A D=49 \mathrm{cm}, \) find the
ength of \( B M \) and \( D L \)
| 2 |
Maths
|
The ratio of \( d- \) Broglie wavelength of molecular of hydrogen and oxygen kept in two vessels separately at \( 27^{\circ} C \) and
\( 127^{\circ} \mathrm{C} \) respectively is:
A. \( \sqrt{\frac{4}{3}} \)
B. \( \sqrt{\frac{3}{32}} \)
c. \( \frac{8}{\sqrt{3}} \)
D.
| 3 |
Physics
|
In the figure, PR and QS are two
diameters of the circle.
If \( P R=28 c m \) and \( P S=14 \sqrt{3} \mathrm{cm} \)
then find the total area of two shaded
segments. \( (\sqrt{3}=1.73) \)
A \( \cdot 249,12 \mathrm{cm}^{2} \)
B . \( 240.76 \mathrm{cm}^{2} \)
c. \( 251.12 \mathrm{cm}^{2} \)
D. None of these
| 2 |
Maths
|
The unit of Planck's constant is
equivalent to that of :
A. energy
B. angular momentum
c. velocity
D. force
| 3 |
Physics
|
A cutted diamond sparkles because of its:
A. high refractive index
B. hardness
c. emission of light by the diamond
D. absorption of light by the diamond
| 3 |
Physics
|
Choose correct option which suitably
represents value of \( \boldsymbol{x} \)
\( \boldsymbol{x}<\mathbf{5}, \boldsymbol{x} \in \boldsymbol{N} \)
A \( \cdot\{0,1,2,3,4\} \)
в. \{1,2,3,4\}
c. \{1,2,3,4,5\}
D. \{0,1,2,3,4,5\}
| 2 |
Maths
|
Find the angles between the lines,
whose direction cosines are give by the equation \( l^{2}-m^{2}+n^{2}=0, l+m+ \)
\( \boldsymbol{n}=\mathbf{0} \)
A. 0
в. \( \frac{\pi}{6} \)
\( c \cdot \frac{\pi}{4} \)
D.
| 2 |
Maths
|
The electron density of intrinsic semiconductor at room temperature is \( 10^{16} m^{-3} . \) When doped with a trivalent impurity, the electron density is decreased to \( 10^{14} m^{-3} \) at the same
temperature. The majority carrier density is:
A \( \cdot 10^{16} m^{-3} \)
В. \( 10^{18} m^{-3} \)
\( \mathbf{c} \cdot 10^{21} m^{-3} \)
D. \( 10^{20} \mathrm{m}^{-3} \)
E \( .10^{19} m^{3} \)
| 3 |
Physics
|
Which one of the following pairs of substances on the reaction will not
evolve \( \boldsymbol{H}_{2} \) gas?
A . Iron and \( H_{2} S O_{4}(a q) \)
B. copper and \( H C l(g) \)
c. Na and \( C_{2} H_{5} O H \)
D. Iron and steam
| 1 |
Chemistry
|
If \( O \) is the centre of a circle, \( P Q \) is a
chord and the tangent \( P R \) at \( P \) makes
an angle of \( 50^{0} \) with \( P Q \), then find the
Angle \( (P O Q) \)
| 2 |
Maths
|
The equation of the circle passing through (2,0) and (0,4) and having the minimum radius is
A \( \cdot x^{2}+y^{2}=20 \)
B . \( x^{2}+y^{2}-2 x-4 y=0 \)
c. \( x^{2}+y^{2}=4 \)
D. \( x^{2}+y^{2}=16 \)
| 2 |
Maths
|
A kind of filtration method, where the suspended solids/ solutes are
separated from the colloidal solution because of their concentration gradient by passing the solution through a semipermeable membrane is known as
A. Ultra filtration
B. Ultra centrifugation
c. Dialysis
D. Electrodialysis
| 1 |
Chemistry
|
A particle of mass \( \boldsymbol{m}=12 \boldsymbol{k} \boldsymbol{g} \) falling
freely from rest under gravity and air resistance force \( (\boldsymbol{F}) \). The velocity of the particle when reaches ground is \( 6 m / s \)
Then total external work done on the
particle is
\( \mathbf{A} \cdot 216 J \)
в. \( (120-F) J \)
\( \mathbf{c} .6 F J \)
D. Data insufficient
| 3 |
Physics
|
A ball of mass \( m \) is dropped onto a floor
from a certain height. The collision is
perfectly elastic and the ball rebounds to the same height and again falls. Find the average force exerted by the ball on the floor during a long time interval.
| 3 |
Physics
|
The ease of esterification of following alcohols with HCOOH will be highest for \( \boldsymbol{C H}_{3} \boldsymbol{C H}_{2} \boldsymbol{O H} \quad\left(\boldsymbol{C H}_{3}\right)_{2} \boldsymbol{C H O H} \)
\( \left(\begin{array}{c}\left.\boldsymbol{C H}_{3}\right)_{3} \boldsymbol{C O H} \\ \mathbf{3}\end{array}\right. \)
| 1 |
Chemistry
|
The length of a rectangle is 10 m more than its breadth. if the perimeter of rectangle is 80 m. find the dimensions
and area of the rectangle.
| 2 |
Maths
|
A taut string for which \( \mu=5.00 \times \)
\( 10^{-2} k g / m \) is under a tension of \( 80.0 \mathrm{N} \)
How much power must be supplied to the string to generate sinusoidal waves at a frequency of \( 60.0 \mathrm{Hz} \) and an
amplitude of \( 6.00 \mathrm{cm} ? \)
| 3 |
Physics
|
If \( f(x)=3 x+1, g(x)=x^{3}+2, \) then
\( \frac{\boldsymbol{f}+\boldsymbol{g}}{\boldsymbol{f} \boldsymbol{g}}(\mathbf{0})= \)
A . \( x \)
B. 1
\( c \cdot 3 \)
\( D \cdot \frac{3}{2} \)
| 2 |
Maths
|
Which of the following is not a basic physical quantity?
A. Length
B. Time
c. Density
D. Amount of substance
| 1 |
Chemistry
|
The area of a triangle is 5 and its two vertices are \( \boldsymbol{A}(\mathbf{2}, \mathbf{1}) \) and \( \boldsymbol{B}(\mathbf{3},-\mathbf{2}) . \) The
third vertex lies on \( y=x+3 . \) Then third
vertex is
This question has multiple correct options
A \( \cdot\left(\frac{7}{2}, \frac{13}{2}\right) \)
в. \( \left(\frac{5}{2}, \frac{5}{2}\right) \)
\( ^{c} \cdot\left(-\frac{3}{2}, \frac{3}{2}\right) \)
D. (0,0)
| 2 |
Maths
|
The acceleration-time graph of a body being a straight line parallel to the time axis implies (Assume graph in first quadrant)
A. that the velocity of the body increases uniformly with time
B. that the velocity of the body decreases uniformly with time
c. that the velocity of the body is constant
D. that the body is at rest
| 3 |
Physics
|
State, whether the following statements are true or false.
If \( a<b \) and \( c>0, \) then \( a-c<b-c \)
where \( a, b, c \) are real numbers and \( c \neq 0 \)
A. True
B. False
| 2 |
Maths
|
Why nuclei invariably have mass less
than the sum of the masses of the
individual nucleons in them?
| 3 |
Physics
|
Consider the situation shown if figure
Initially the string is unstretched when
the system is released from rest
Assuming no friction in the pulley, what is the maximum elongation of the
spring?
| 3 |
Physics
|
Fuels are present in which of the following forms?
A. Solids
B. Liquids
c. Gases
D. All of these
| 1 |
Chemistry
|
Three magnets of the same length but
moments \( \mathrm{M}, 2 \mathrm{M} \) and \( 3 \mathrm{M} \) are arranged in the forms of an equilateral triangle with opposite pole nearer, the resultant
magnetic moment of the arrangement is?
A. 6 м
B. zero
c. \( \sqrt{3} \) м
D. \( \frac{\sqrt{3}}{2} \) M
| 3 |
Physics
|
\( \lim _{x \rightarrow x_{1}} \frac{x}{x-x_{1}} \int_{x_{1}}^{x} f(t) d t \) is equal to
В \( \cdot x_{1} f\left(x_{1}\right) \)
\( \mathbf{c} \cdot f\left(x_{1}\right) \)
D. Does not exist
| 2 |
Maths
|
The bulk modulus for an
incompressible liquid is?
\( A \cdot \infty \)
B. 0
c. 1
\( D \)
| 3 |
Physics
|
An alternating voltage \( \boldsymbol{V}=\boldsymbol{V}_{0} \sin (\boldsymbol{\omega} \boldsymbol{t}) \)
is applied across a circuit. As a result, a
current \( \boldsymbol{I}=\boldsymbol{I}_{0} \sin (\boldsymbol{\omega} \boldsymbol{t}-\boldsymbol{\pi} / 2) \) flows in it
The power consumed per cycle is
A . zero
в. \( 0.5 V_{0} I_{0} \)
c. \( 0.707 V_{0} I_{0} \)
D. \( 1.414 \mathrm{V}_{0} \mathrm{I}_{0} \)
| 3 |
Physics
|
Two identical condensers M and N are
connected in series with a battery. The space between the plates of M is
completely filled with a dielectric medium of dielectric constant 8 and a
copper plate of thickness \( \frac{d}{2} \) is introduced between the plates of \( \mathrm{N}(d \) is
the distance between the plates). Then
potential differences across \( \mathrm{M} \) and \( \mathrm{N} \) are, respectively, in the ratio:
\( \mathbf{A} \cdot 1: 4 \)
B . 4: 1
\( \mathbf{c} \cdot 3: 8 \)
D. 1: 6
| 3 |
Physics
|
Differentiate the following w.r.t. \( x \)
\( \sin ^{2} \sqrt{x} \)
A \( \cdot \frac{1}{2 \sqrt{x}} \sin (3 \sqrt{x}) \)
B. \( \frac{1}{\sqrt{x}} \sin (2 \sqrt{x}) \)
c. \( \frac{1}{2 \sqrt{x}} \sin (2 \sqrt{x}) \)
D. \( \frac{1}{2 \sqrt{x}} \sin (4 \sqrt{x}) \)
| 2 |
Maths
|
The dimension of angular momentum is
\( \mathbf{A} \cdot\left[M^{0} L^{1} T^{-1}\right] \)
B . \( \left[M^{1} L^{2} T^{-2}\right] \)
C \( \cdot\left[M^{1} L^{2} T^{-1}\right] \)
D \cdot \( \left[M^{2} L^{1} T^{-2}\right] \)
| 3 |
Physics
|
In peritrichous bacteria, flagella occur
A. At one end
B. At both ends
c. All over the body
D. Absent
| 0 |
Biology
|
The uncertainty (in meters) in the position of an insect weighing \( 0.68 g \) and traveling at a velocity of \( 0.85 \mathrm{m} / \mathrm{s} \) (the uncertainty in the velocity is 0.1 \( m / s), \) is:
A. \( 8 \times 10^{-21} \mathrm{m} \)
В. \( 4 \times 10^{-25} \mathrm{m} \)
c. \( 8 \times 10^{-31} m \)
D. \( 8 \times 10^{-34} m \)
| 1 |
Chemistry
|
Find the area of parallelogram (in square \( m \) ) whose base and altitude are
given base \( =15 \mathrm{dm}, \) altitude \( =4.5 \mathrm{dm} \)
| 2 |
Maths
|
Rename the following percents as decimals.
\( \mathbf{0 . 0 0 2 \%} \)
A. 0.02
B. 0.002
c. 0.0002
D. 0.00002
| 2 |
Maths
|
For capacitors in the series combination, the total capacitance \( C \) is
given by
\( ^{\mathbf{A}} \cdot_{C}=\left(\frac{1}{C_{1}}+\frac{1}{C_{2}}+\ldots \ldots\right) \)
в. \( C=C_{1}+C_{2}+\ldots \)
\( ^{\mathbf{c}} \cdot \frac{1}{\bar{C}}=\left(\frac{1}{C_{1}}+\frac{1}{C_{2}}+\ldots . .\right) \)
\( \stackrel{\mathrm{D}}{\mathrm{C}}=C_{1}+C_{2}+\ldots \)
| 3 |
Physics
|
In a hydrogen atom, the electron moves
in an orbit of radius \( 0.5 A^{\circ} \) making \( 10^{16} \) revolution per second. The magnetic moment associated with the orbital
motion of the electron is \( A m^{2} \)
A. \( 1.602 \times 10^{-19} \)
?
В. \( 1.256 \times 10^{-22} \)
c. \( 1.67 \times 10^{-2} \)
D. \( 1.256 \times 10^{-23} \)
| 3 |
Physics
|
\( \mathbf{f}(x)=\cos x-\cos ^{2} x . \) Find range
| 2 |
Maths
|
Fill up the gaps (shown by-) in the
following A.P. \( 34,-,-,-,-, 48 \)
| 2 |
Maths
|
Find the interval in which \( \boldsymbol{f}(\boldsymbol{x})=\int_{-1}^{x}\left(\boldsymbol{e}^{t}-\mathbf{1}\right)(\mathbf{2}-\boldsymbol{t}) \boldsymbol{d t},(\boldsymbol{x}>\mathbf{1}) \)
is
increasing
\( A \cdot[3,5] \)
B . [1,3]
\( \mathbf{c} \cdot[0,3] \)
D. [0,2]
| 2 |
Maths
|
If the resistivity of an alloy is \( \rho^{\prime} \) and that
of constituent metal is \( \rho \) then :
A \( \cdot \rho^{\prime}>\rho \)
B . \( \rho^{\prime}<\rho \)
C \( \cdot \rho^{\prime}=\rho \)
D. there is no simple reaction between \( \rho^{\prime} \& \rho \)
| 3 |
Physics
|
Which of the following elements is used for vulcanizing rubber?
A. sulphue
B. chlorine
c. bromine
D. phosphorus
| 1 |
Chemistry
|
The molecule of aspartame
Nutrasweet ), depicted below, has
stereogenic centers.
\( A \)
B. 3
\( c \cdot 4 \)
\( D \)
| 1 |
Chemistry
|
The mean distance between the atoms
of iron is \( 3 \times 10^{-10} m \) and interatomic
force constant for iron is \( \mathbf{7} N \boldsymbol{m}^{-1} \). The
Young's modulus of electricity for iron
is
A \( .2 .33 \times 10^{5} \mathrm{Nm}^{-2} \)
в. \( 23.3 \times 10^{10} \mathrm{Nm}^{-2} \)
c. \( 2.33 \times 10^{9} \mathrm{Nm}^{-2} \)
D. \( 2.33 \times 10^{10} \mathrm{Nm}^{-2} \)
| 3 |
Physics
|
Determine the values of \( p \) for which
the quadratic equation \( 2 x^{2}+p x+8= \)
0 has real roots.
A. \( p<-8 \) or \( p>8, p \in R \)
в. \( p \geq-8 \) and \( p \leq 8, p \in R \)
c. \( p \leq-8 \) or \( p \geq 8, p \in R \)
D. \( p>-8 \) and \( p<8, p \in R \)
| 2 |
Maths
|
Find the relation between drift velocity
and relaxation time of charge carriers in a conductor. A conductor of length \( \boldsymbol{L} \)
is connected to a d.c. The source of emf
\( E^{\prime} . \) If the length of the conductor is
tripled by stretching it, keeping \( ^{\prime} \boldsymbol{E}^{\prime} \) constant, explain how its drift velocity would be affected.
| 3 |
Physics
|
The term biocoenosis was coined by
A. Darwin
B. Haeckel
c. Odum
D. Mobius
| 0 |
Biology
|
A single slit Fraunhoffer diffraction pattern is formed with white light. For what wavelength of light the third secondary maximum in the diffraction pattern coincides with the second
secondary maximum in the pattern for red light of wavelength 6500 A?
B . \( 4642 A^{\circ} \)
c. \( 4100 A^{\circ} \)
D. \( 4400 A^{\circ} \)
| 3 |
Physics
|
A uniform sphere of radius \( \boldsymbol{R} \) is placed on a smooth horizontal surface and a
horizontal force \( \boldsymbol{F} \) is applied on it at a
distance \( h \) above the centre. The
acceleration of the centre of mass of the
sphere is
A. maximum when \( h=0 \)
B. maximum when \( h= \) R
c. maximum when \( h=R / 2 \)
D. independent of \( h \)
| 3 |
Physics
|
Find the coordinates of \( C \)
A. (97,248)
в. (87,238)
c. (87,258)
D. (97,268)
| 3 |
Physics
|
\( \mathbf{2} \boldsymbol{s} \stackrel{I}{\rightarrow} \mathbf{2} \boldsymbol{p} \stackrel{I I}{\rightarrow} \mathbf{3} \boldsymbol{d} \stackrel{I I}{\rightarrow} \mathbf{3} \boldsymbol{p} \stackrel{I V}{\rightarrow} \mathbf{4} \boldsymbol{s} \stackrel{\boldsymbol{V}}{\rightarrow} \mathbf{2} \boldsymbol{p} \)
The electronic transitions show above
are observed when lithium atoms are
sprayed into a hot flame. The various
transitions are numbered for
identification. Which of these
transitions would result in emission of
electromagnetic radiation (light)?
A. I and II only
B. I and III only
c. I and v only
D. III and IV only
E. III and v only
| 1 |
Chemistry
|
Endocrine glands are also called as glands.
A. Exocrine
B. Ductless
c. Ducted
D. None of the above
| 0 |
Biology
|
Two particles are simultaneously projected in the horizontal direction
from a point \( \boldsymbol{P} \) at a certain height. The
initial velocities of the particles are
oppositely directed to each other and
have magnitude v each. The separation between the particles at a time when their position vectors (drawn from the point \( P \) ) are mutually perpendicular, is
\( ^{\mathrm{A}} \cdot \frac{v^{2}}{2 g g} \)
В. \( \frac{v^{2}}{g} \)
c. \( \frac{4 v^{2}}{g} \)
D. \( \frac{2 v^{2}}{g} \)
| 3 |
Physics
|
Silicon nitride has band gap energy of
\( e v \)
| 3 |
Physics
|
Convert the following into fraction.
\( 44 \% \)
A \( \cdot \frac{11}{44} \)
в. \( \frac{44}{1000} \)
c. \( \frac{44}{11} \)
D. \( \frac{11}{25} \)
| 2 |
Maths
|
A body is standing on a merry-go-round which is rotating uniformly in a horizontal plane. His frame of reference
is
A. an inertial frame
B. a non-inertial frame
c. either inertial or non-inertial
D. neither inertial nor non- inertial
| 3 |
Physics
|
The decomposition of \( N H_{3} \) on
platinum surface is zero order. What are
the rate of production of \( N_{2} \) and \( H_{2} \) in mole.lit\( ^{-1} \cdot \sec ^{-1} \) if \( K=2.5 \times \)
\( 10^{-4} \) mole.lit \( ^{-1} . \) sec \( ^{-1} ? \)
\( \begin{array}{ll}\text { A } \cdot 3.75 \times 10^{-4}, & 1.25 \times 10^{-4}\end{array} \)
B. \( 1.25 \times 10^{-4}, \quad 3.75 \times 10^{-4} \)
C . \( 2.5 \times 10^{-4}, \quad 7.5 \times 10^{-4} \)
D. \( 1.25 \times 10^{4}, \quad 3.75 \times 10^{-4} \)
| 1 |
Chemistry
|
\( \infty \)
\( \infty \)
\( \infty \)
\( \infty \)
| 1 |
Chemistry
|
The values of and \( y \) satisfying the two
equations \( 32 x+33 y=31,33 x+ \)
\( 32 y=34 \) respectively will be
A. -1,2
в. 2,-1
c. 0,0
D. 2,3
| 2 |
Maths
|
Find the derivative of \( \sin \left(2 \sin ^{-1} x\right) \)
A \( \cdot \frac{2 \cos \left(2 \sin ^{-1} x\right)}{\sqrt{1-x^{2}}} \)
B. \( \frac{\cos \left(2 \sin ^{-1} x\right)}{\sqrt{1-x^{2}}} \)
c. \( \frac{2 \cos \left(2 \cos ^{-1} x\right)}{\sqrt{1-x^{2}}} \)
D. \( -\frac{\cos \left(2 \cos ^{-1} x\right)}{\sqrt{1-x^{2}}} \)
| 2 |
Maths
|
\( K M n O_{4} \) on treatment with conc.
\( \boldsymbol{H}_{2} \boldsymbol{S} \boldsymbol{O}_{4} \) forms a compound \( (X) \) which
decomposes explosively on heating forming (Y). The (X) and (Y) are respectively:
A. \( M n_{2} O_{7}, M n O_{2} \)
В. \( M n_{2} O, M n_{2} O_{3} \)
c. \( M n S O_{4}, M n_{2} O_{3} \)
D. \( M n_{2} O_{3}, M n O_{2} \)
| 1 |
Chemistry
|
Match the element with its associated
functions/roles and choose the correct
option given among below.
| 0 |
Biology
|
Which layer of atmosphere contains
ozone in it?
A. Hydrosphere
B. Lithosphere
c. Stratosphere
D. None of these
| 1 |
Chemistry
|
Fuse wire should be placed in the path
of wire
A. Neutral
B. Phase
c. Earth
D. None of these
| 3 |
Physics
|
Identify closed curve.
\( \mathbf{A} \cdot 1 \) only
B. 2 only
C. 3 only
D. 1 and 2 only
| 2 |
Maths
|
Derive the relationship between relative lowering of vapour pressure and molar mass of non-volatile solute.
| 1 |
Chemistry
|
Assertion
Loss in friction due to a decelarating metallic block on the ground,is the loss which is reversible.
Reason
At every point of motion of the block there is a net force acting on it which is decelarating its motion.
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 incorrect but Reason is correct
D. Both Assertion and Reason are incorrect
| 3 |
Physics
|
\( t=0 \) to \( t=2 s \)
| 3 |
Physics
|
Two spherical rain drops with radiii in the ratio 1: 2 fall from a great height through the atmosphere. The ratio of
their momenta after they have attained terminal velocity is
A .1: 8
B. 2:
\( c \cdot 1: 32 \)
D. 1: 2
E . 1: 16
| 3 |
Physics
|
The correct IU \( P A C \) name of the
following compound \( \boldsymbol{C} \boldsymbol{H}_{3} \boldsymbol{C H}_{2}-\boldsymbol{C} \equiv \)
\( \boldsymbol{C H} \)
A. Butadiene
B. Butyne
c. Butenynw
D. Butynene
| 1 |
Chemistry
|
\( \boldsymbol{x}(\boldsymbol{x}-1) \frac{\boldsymbol{d} \boldsymbol{y}}{\boldsymbol{d} \boldsymbol{x}}-(\boldsymbol{x}-\boldsymbol{2}) \boldsymbol{y}=\boldsymbol{x}^{3}(\boldsymbol{2} \boldsymbol{x}- \)
1). The solution to the above given differential equation is \( \boldsymbol{y}(\boldsymbol{x}+\boldsymbol{k})= \)
\( \boldsymbol{x}^{m}\left(\boldsymbol{x}^{n}-\boldsymbol{x}+\boldsymbol{c}\right) . \) Find \( \boldsymbol{k}+\boldsymbol{m}+\boldsymbol{n} ? \)
| 2 |
Maths
|
In which of the following cases does the electromagnetic induction occur?
This question has multiple correct options
A. A current is started in a wire held near a loop of wire.
B. The current is stopped in a wire held near a loop of wire
C. A magnet is moved through a loop of wire.
D. A loop of wire is held near a magnet
| 3 |
Physics
|
Velocity-time graph \( A B \) (Fig. 2.1 ) shows
that the body has:
A. a uniform acceleration
B. a non-uniform retardation
c. uniform speed
D. initial velocity OA and is moving with uniform retardation
| 3 |
Physics
|
A diagram of T.S. of dicot root is given.
Select the option which correctly labels
\( A, B, C, D \) and \( E \)
A. A-Protoxylem, B-Metaxylem, C-Phloem, D-Pericycle, EEndodermis
B. A-Metaxylem, B-Protoxylem, C-Phloem, D-Percyicle, EEndodermis
C. A-Protoxylem, B-Metaxylem, C-Phloem, D-Endodermis E-Pericycle
D. A-Metaxylem, B-Protoxylem, C-Phloem, DEndodermis, E-Pericycle
| 0 |
Biology
|
From 2 mg calcium \( 1.2 \times 10^{19} \) atoms
are removed. The number of \( g \) - atoms of calcium left is \( (\boldsymbol{C} \boldsymbol{a}=\mathbf{4 0}) \)
A \( .5 \times 10^{-5} \)
В. \( 2 \times 10^{-5} \)
c. \( 3 \times 10^{-5} \)
D. \( 5 \times 10^{-6} \)
| 1 |
Chemistry
|
Oxidation state of iodine in iodic acid
is:
\( A \cdot+1 \)
B. +3
\( c .+5 \)
D. +7
| 1 |
Chemistry
|
A resistor and a capacitor are in series \( \operatorname{across} \) a \( 20 V \) ac source. Circuit
impedance is \( 4.33 k \Omega . \) Current flow in the circuit is
\( \mathbf{A} \cdot 9.2 m A \)
в. \( 92 m A \)
c. \( 4.6 m A \)
D. \( 460 m A \)
| 3 |
Physics
|
If \( A=\left|\begin{array}{l}1 \\ 3\end{array}\right| B=\left|\begin{array}{c}-1 \\ 4\end{array}\right| \) then \( 2 A+B= \)
\( A \cdot \mid 10 \)
9
B. \( \mid 10 \) 1
\( c \cdot\left|\begin{array}{l}1 \\ 10\end{array}\right| \)
D. \( \mid 1 \) 9
| 2 |
Maths
|
Find the stationary point of \( \boldsymbol{y}=\boldsymbol{x}^{2}+ \)
\( 5 x-6 \)
| 2 |
Maths
|
Write IUPAC name of the following coordinate compounds:
(i) \( \boldsymbol{K}\left[\boldsymbol{A} \boldsymbol{g}(\boldsymbol{C} \boldsymbol{N})_{2}\right] \)
(ii) \( \boldsymbol{K}_{\mathbf{4}}\left[\boldsymbol{F} \boldsymbol{e}(\boldsymbol{C} \boldsymbol{N})_{\boldsymbol{6}}\right] \)
(iii) \( \left[\boldsymbol{A} \boldsymbol{g}\left(\boldsymbol{N} \boldsymbol{H}_{3}\right)_{2}\right] \boldsymbol{C l} \)
\( (\text { iv })\left[\boldsymbol{C r}\left(\boldsymbol{N} \boldsymbol{H}_{3}\right)_{6}\right] \boldsymbol{C l}_{3} \)
| 1 |
Chemistry
|
Which one of the following is true for the
given triangle?
\( \mathbf{A} \cdot \angle 3=\angle 1+\angle 2 \)
B . \( \angle 1=\angle 3+\angle 2 \)
c. \( \angle 2=\angle 1+\angle 3 \)
D. Both (A) and (B)
| 2 |
Maths
|
An element \( A \) combines with oxygen to
form an oxide \( A O . \) Find the group to
which the element \( \boldsymbol{A} \) belongs.
A . \( I A \)
в. \( I I A \)
c . III \( A \)
D. IVA
| 1 |
Chemistry
|
The conduction of urine from kidney to the urinary bladder takes place by
A. Ureter
B. Urethra
c. Ovary
D. None of the above
| 0 |
Biology
|
If the derivative of the functions \( f(x)= \) \( \left\{\begin{array}{cc}b x^{2}+a x+4 ; & x \geq-1 \\ a x^{2}+b ; & x<-1\end{array}\right\} \) is
everywhere continuous then
A \( . a=2, b=3 \)
В. \( a=3, b=2 \)
C \( . a=-2, b=-3 \)
D. \( a=-3, b=-2 \)
| 2 |
Maths
|
f \( a \neq b \neq c, \) prove that the points
\( \left(a, a^{2}\right),\left(b, b^{2}\right),\left(c, c^{2}\right) \) can never be
collinear.
| 2 |
Maths
|
Fungi shows mode of nutrition.
A. Saprophytic
B. Phagocytic
C. Pinocytic
D. None of these
| 0 |
Biology
|
Prove that:
\( \tan ^{-1} \frac{1}{4}+\tan ^{-1} \frac{2}{9}=\frac{1}{2} \cos ^{-1} \frac{3}{5} \)
| 2 |
Maths
|
The domain of the function \( \mathbf{f}(\boldsymbol{x})=\frac{\mathbf{1}}{\boldsymbol{x}^{\log \boldsymbol{x}}} \)
is
A.
B. \( (0, \infty) \)
c. \( R-\{1\} \)
D. R - \{9
| 2 |
Maths
|
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