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Two identical balls move towards each
other with velocities \( 3 u \) and \( 2 u \)
respectively. The velocity of centre of
mass is?
A . u
B. \( 2 u \)
c. \( \frac{u}{2} \)
D. \( \frac{3 u}{2} \)
| 3 |
Physics
|
Which of the following scales belong to
bony fish?
A. A tand C of bony fish
B. A, B and D of bony fish
C. \( B \) and D of bony fish
D. B and C of bony fish
| 0 |
Biology
|
Oxygen generally exhibits an oxidation
state of -2 only while the other
members of the group show oxidation states of +2,+4 and +6 also - explain.
| 1 |
Chemistry
|
\( 1.25 \mathrm{g} \) of a solid dibasic acid is completely neutralised by \( 25 \mathrm{mL} \) of 0.25 molar \( \boldsymbol{B a}(\boldsymbol{O H})_{2} \) solution. Molecular
mass of the acid is:
A. 100
B. 150
\( c \cdot 120 \)
D. 200
| 1 |
Chemistry
|
A ray of light from a liquid \( (\mu=\sqrt{3}) \) is
incident on a system of two right angled prism of refractive indices \( \sqrt{3} a n d \sqrt{2} \)
as shown in the figure. The light suffers zero net deviation when it emerges into
air from surface CD. If the angle of incidence (in degrees) is \( 5 n . \) Find \( n \) ?
| 3 |
Physics
|
Which of the reactants act as oxidant or
reductant if any:
\( 2 C u S O_{4}+S O_{2}+2 K B r+2 H_{2} O \rightarrow \)
\( 2 C u B r+2 H_{2} S O_{4}+K_{2} S O_{4} \)
A \( . C u S O_{4} \)
в. \( S O_{2} \)
c. Both of these
D. None of these
| 1 |
Chemistry
|
\( A B C D \) is a trapezium with \( A B \| C D \)
\( A D=B C=5 c m, A B=12 c m \) and
\( C D=7 c m, \) find the area of trapezium
ABCD.
| 2 |
Maths
|
In a cubic structure of diamond which
is made from \( X \) and \( Y \), where \( X \) atoms
are at the corners of the cube and \( Y \) at
the face centres of the cube. The
molecular formula of the compound is:
A. \( X_{2} Y \)
\( Y \)
в. \( X_{3} Y \)
c. \( X Y_{2} \)
D. \( X Y_{3} \)
| 1 |
Chemistry
|
Let \( A B C \) be an equilateral triangle
inscribed in circle \( 0 . \) M is a point on arc
BC. Lines AM, BM and CM are drawn.
Then \( \overline{\boldsymbol{A} \boldsymbol{M}} \) is:
A. equal to \( \overline{B M}+\overline{C M} \)
B. Less than \( \overline{B M}+\overline{C M} \)
c. greater than \( \overline{B M}+\overline{C M} \)
D. equal, less than, or greater than \( \overline{B M}+\overline{C M} \) depending upon the pos
| 2 |
Maths
|
Colchicine is an inhibitory chemical which
A. stops the functioning of centriole
B. prevents attaching of centromeres with rays
c. prevents the spindle formation in mitosis
D. prevent the formation of equatorial plane
| 0 |
Biology
|
Two identical thin rings each of radius \( r \) are coaxillary placed at a distance have equal charge q each. Work done in moving a charge \( q^{\prime} \) from the centre of one ring to that of the other is?
A . Infinity
В. \( \frac{q^{2}}{4 \pi \varepsilon_{0} r} \)
c. zero
D. \( \frac{q q^{\prime}}{4 \pi \varepsilon_{0} r} \)
| 3 |
Physics
|
Force acting between two small magnets, placed in end on position
\( 0.1 m \) apart from their centres is
(Given magnetic moment of each
magnet is \( \left.5 A m^{2}\right) \)
A . \( 0.6 N \)
B. \( 0.8 N \)
c. \( 0.15 N \)
D. \( 0.2 N \)
| 3 |
Physics
|
An electric dipole is kept in a uniform electric field, it experiences
A. a force and a torque
B. a force, but no torque
c. a torque, but no force
D. neither a force nor a torque
| 3 |
Physics
|
Cationic surfactant is:
A \( \cdot C_{17} H_{35} C O O N a \)
B.
\( \mathrm{c} \cdot C_{16} H_{33} N\left(C H_{3}\right)_{3} C l \)
D. None of the above
| 1 |
Chemistry
|
If \( n \) is an integer,what is the remainder when \( 5 x^{2 n+1}-10 x^{2 n}+3 x^{2 n-1}+5 \) is
divided by \( x+1 ? \)
A .
B. 2
\( c \cdot 4 \)
\( D \cdot-8 \)
\( E \cdot-13 \)
| 2 |
Maths
|
Which is correctly matched?
1. Arsenic poisoning- Black foot disease
2. Secondary Effluent treatment-
Biological process
3. Pyrolysis- Solid soil waste disposal
4. Tubifex- Water pollution indicator
5. Biomagnification - Degradable pollutants
A .1,2,3,5
в. 1,3,4,5
c. 2,3,4,5
D. 1,2,3,4
E .1,2,4,5
| 0 |
Biology
|
The five different colored graphs above represent different possible
relationship between voltage across a
resistor and current through the
resistor.
Which of the graphs shows the correct relationship for a resistor that obeys
Ohm's law?
A . Red
B. orange
c. Blue
D. Purple
| 3 |
Physics
|
Select the odd one out w.r.t.
basidiomycetes.
A. Sex organs are absent
B. Karyogamy and meiosis takes place in basidium
C. Fruiting body is called basidiocarp
D. Basidiospores are endogenously produced on basidium
| 0 |
Biology
|
How is ecliptic related to solar constellations?
| 3 |
Physics
|
Active transport across biomembrane
involves
A. Production of ATP
B. Requirement of energy
c. Production of toxin
D. Release of energy
| 0 |
Biology
|
Of the four structures displayed, which
does out fit the octet-rule description of the electron-dot model developed by G.N. Lewis?
\[
0=\mathbf{H}
\]
orbital
80
A . I
в. ॥
c.
D. (All four fit the Lewis model.)
| 1 |
Chemistry
|
Action of vaginal diaphragm is
A. Spermicidal
B. To prevent the sperm to come in contact with ova
C. To prevent the ova to come in the uterus.
D. Anti-implantational.
| 0 |
Biology
|
Most economical and effective method
to control pH of the soil is
\( A \cdot \operatorname{cac} O_{3} \)
\( \mathbf{B} \cdot \operatorname{Ca}(O H)_{2} \)
c. \( \operatorname{cacl}_{2} \)
D. \( \operatorname{ca}\left(N O_{3}\right)_{2} \)
| 0 |
Biology
|
Which of the following reaction is used to prepare colloidal sol by double decomposition?
A. \( A s_{2} O_{3}+3 H_{2} S \rightarrow A s_{2} S_{3}+3 H_{2} O \)
B . \( 2 A u C l_{3}+3 H C H O+3 H_{2} O \rightarrow 2 A u+3 H C O O H+ \)
\( 6 H C l \)
c. \( S O_{2}+2 H_{2} S \rightarrow 3 S+2 H_{2} O \)
D. \( F e C l_{3}+3 H_{2} O \rightarrow F e(O H)_{3}+3 H C l \)
| 1 |
Chemistry
|
lodised salt prevents
\( A \cdot \) TB
B. Anaemia
c. Goitre
D. Beri-beri
| 1 |
Chemistry
|
If \( \int_{0}^{y} \frac{1}{\sqrt{1+9 u^{2}}} d u=u, \) then \( \frac{d^{2} y}{d u^{2}} \) is
\( \mathbf{A} \cdot \sqrt{1+9 y^{2}} \)
В. \( \frac{1}{\sqrt{1+9 y^{2}}} \)
c. \( 9 y \)
D. \( 9 y^{2} \)
| 2 |
Maths
|
Give product of the following reaction.
| 1 |
Chemistry
|
A major constituent of vinegar is:
A. Methanoic acic
B. Benzoic acid
c. Ethanoic acid
D. Picric acid
| 1 |
Chemistry
|
In a circle of diameter \( 10 \mathrm{cm} \) the length of each of the 2 equal and parallel chords is \( 8 \mathrm{cm} \) Then the distance
between these two chords is
A. \( 6 \mathrm{cm} \)
B. 7 \( \mathrm{cm} \)
\( c \cdot 8 \mathrm{cm} \)
D. \( 9 \mathrm{cm} \)
| 2 |
Maths
|
A radioactive element \( X_{90}^{238} \) decays into
\( Y_{83}^{222} . \) The number of \( \beta \) -particles emitted
are
\( A \)
B. 2
\( c \cdot 4 \)
D. 6
| 3 |
Physics
|
The point \( P \) is on the \( y \) -axis. If \( P \) is equidistant from (1,2,3) and (2,3,4)
then \( \boldsymbol{P}_{\boldsymbol{y}}= \)
A \( \cdot \frac{15}{2} \)
B. 15
c. 30
D. \( \frac{3}{2} \)
| 2 |
Maths
|
If \( x \) is a binomial variable with \( P=\frac{1}{4} \) then the smallest value of \( n \) so that
\( P(x \geq 1)>0.70 \) is
A . 3
B. 4
\( c .5 \)
D. 6
| 2 |
Maths
|
What are braille characters?
A. Small triangular blocks that contains raised dots
B. Small rectangular blocks that contains raised dots
C. Small triangular blocks that contains suppressed dots
D. Small square blocks that contains raised dots
| 3 |
Physics
|
The nth term of the A.P. \( 3,7,11,15, \ldots . \) is given by -
A \( \cdot T_{n}=4 n-1 \)
в. \( T_{n}=3 n+4 \)
c. \( T_{n}=3 n-4 \)
D. \( T_{n}=2 n+1 \)
| 2 |
Maths
|
Hydroponics is a technique in which plants are grown in
A. Green house
B. Water saturated sand
c. Balanced nutrient solution
D. Purified distilled water
| 0 |
Biology
|
Which of the following statements is
incorrect?
A. Polypropylene is a thermoplastic polymer
B. Melamine-formaldehyde is a thermosetting polymer
C. Mixture of styrene and methyl methacrylate can form ionic addition polymer
D. Low density polythene is a poor conductor of electricity
| 1 |
Chemistry
|
short / Long answer type questions. How is it that in the gizzard its lining is not damaged while the soil containing sand particles is ground up?
| 0 |
Biology
|
Assertion
Newton's law of universal gravitation
states that a particle attracts every other particle in the universe using a force that is directly proportional to the product of their masses and inversely proportional to the square of the distance between them.
Reason
Law of gravitation is analogous to magnetic force between the moving
charges.
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
| 3 |
Physics
|
An unbiassed die is toossed. Find the
probability that it is a multiple of 3
| 2 |
Maths
|
Draw the graph of the equation \( \frac{x}{4}+ \) \( \frac{y}{3}=1 . \) Also, find the area of the triangle
formed by the line and the coordinate
axes.
| 2 |
Maths
|
Which one of the following substance will be most suitable for cutting a very hard material?
A . Silicon carbide
B. Leadd
c. zinc metal
D. Sodium chloride crystal
| 1 |
Chemistry
|
If a simple pendulum of length \( L \) has maximum angular displacement \( \alpha \)
then the maximum kinetic energy of
bob of mass \( M \) is
\( \mathbf{A} \cdot \frac{1}{2} \frac{M L}{g} \)
в. \( \frac{M g}{2 L} \)
c. \( M g L(1-\cos \alpha) \)
D. \( \frac{M g L \sin \alpha}{2} \)
| 3 |
Physics
|
If \( f(x)=\frac{a^{x}}{a^{x}+\sqrt{a}}(a>0), \) evaluate
\( \sum_{r=1}^{2 n-1} 2 f\left(\frac{r}{2 n}\right) \cdot \) for \( n=8 \)
| 2 |
Maths
|
The S.D of a variable \( x \) is \( \sigma . \) The S.D of the variate \( \frac{\boldsymbol{a} \boldsymbol{x}+\boldsymbol{b}}{\boldsymbol{c}} \) where \( \boldsymbol{a}, \boldsymbol{b}, \boldsymbol{c} \) are
constant, is
A \( \cdot\left(\frac{a}{c}\right) \sigma \)
В. \( \left|\frac{a}{c}\right| \sigma \)
\( ^{\mathrm{c}} \cdot\left(\frac{a^{2}}{c^{2}}\right) \sigma \)
D. none of these
| 2 |
Maths
|
Which of the following is not correctly matched for the organism and its cell
wall degrading enzyme?
A. Bacteria - Lysozyme
B. Plants cells - Cellulase
c. Alage - Methylase
D. Fungi - Chitinase
| 0 |
Biology
|
Identify the incorrect statements.
This question has multiple correct options
A. \( 1.6 \mathrm{g} \) of a hydrocarbon on combustion in excess of oxygen produces \( 1.2 \mathrm{g} \) of \( \mathrm{CO}_{2} \) and \( 0.4 \mathrm{g} \) of \( \mathrm{H}_{2} \mathrm{O} \). The data illustrates the law of conservation of mass.
B. The product of atomic mass and specific heat of any elements is a constant and is approximately 6.4 . This is known as Dulong Petit's law.
C. The atomic masses of the elements are usually fractional because they are mixtures of allotropes.
D. The best standard of atomic mass is hydrogen (1.008)
| 1 |
Chemistry
|
The ratio of \( j \) to \( k \) to \( l \) to \( m \) to \( p \) is 5 to 4 to 3 to 2 to \( 1 . \) If \( j=60, \) what is the
value of \( m ? \)
\( A \cdot 8 \)
B. 12
c. 24
D. 55
| 2 |
Maths
|
State two uses of regular reflection
| 3 |
Physics
|
Evaluate \( \int \frac{\boldsymbol{d} \boldsymbol{x}}{\sqrt{(\boldsymbol{x}-\boldsymbol{\alpha})(\boldsymbol{\beta}-\boldsymbol{x})}}, \boldsymbol{\beta}>\boldsymbol{\alpha} \)
| 2 |
Maths
|
An electric kettle consumes 1 kW of
electric power when operated at \( 220 \mathrm{V} . \) A fuse wire of what rating must be used for it??
A . 1A
B. 2A
\( c \cdot 4 A \)
D. 5A
| 3 |
Physics
|
The ionization potential of a hydrogen atom is \( 13.6 \mathrm{eV} \). The ionization potential
of \( B e^{3+} \) ion is:
A. \( 217.6 e V \)
в. \( 109.8 e V \)
c. \( 54.4 e V \)
D. \( 136.0 e V \)
| 1 |
Chemistry
|
The polarity of induced emf is given by
A. Ampere's circuital law
B. Biot-Savant's law
C. Lenz's law
D. Remlng's right hand rule
E. Flemhg's left hand rule
| 3 |
Physics
|
Show that the function \( x^{2}-x+1 \) is
neither increasing nor decreasing on (0,1)
| 2 |
Maths
|
n given figure the measure of \( \angle A+ \)
\( \angle B+\angle C+\angle D+\angle E+\angle F \) is ?
\( A \cdot 120 \)
3.720
\( c \cdot 360 \)
) .540
| 2 |
Maths
|
5 moles of oxygen are heated at constant
volume from \( 10^{0} C \) to \( 20^{0} C . \) The change in
internal energy of the gas is:
\( C_{p}=7.03 \mathrm{cal} \mathrm{mol}^{-1} \mathrm{K}^{-1} \) and \( R= \)
\( 8.31 J \mathrm{mol}^{-1} \mathrm{K}^{-1} \)
A . 125 call \( l \)
B. 252 call
c. 50 call
D. 500 call
| 1 |
Chemistry
|
Which of the following is not correct?
A. Acidic hydrolysis of ester is reversible
B. Hydrolysis of ester becomes faster after sometime due to the formation of \( C H_{3} C O O H \)
C \( . H^{+} \) formed during hydrolysis acts as autocatalyst
D. Alkaline hydrolysis of ester is reversible
| 1 |
Chemistry
|
A thermodynamic system is taken from an initial state i with internal energy
\( U_{i}=100 J \) to final state \( f \) along two
different paths iaf and ibf, as schematically shown in the figure. The work done by the system along the path
\( a f, i b \) and \( b f \) are \( W_{a f}=200 J, W_{i b}= \)
\( 50 J \) and \( W_{b f}=100 J \) respectively. The
heat supplied to the system along the
path iaf, ib and bf are \( Q_{i a f}, Q_{i b} \) and \( Q_{b f} \) respectively. If the internal energy of the
system in the state b is \( U_{b}=200 J \) and
\( Q_{i a f}=500 J, \) the ratio \( Q_{b f} / Q_{i b} \) is
| 3 |
Physics
|
\( \lim _{x \atop x \rightarrow \frac{\pi}{4}} \frac{1-\tan x}{1-\sqrt{2} \sin x} \)
| 2 |
Maths
|
Factorize \( 3 a^{5}-108 a^{3} \)
A \( \cdot 3 a^{3}(a-6)(2 a-6) \)
В \( \cdot 2 a^{3}(a+6)(7 a-6) \)
c. \( 2 a^{3}(a-6)(3 a+6) \)
D. \( 3 a^{3}(a+6)(a-6) \)
| 2 |
Maths
|
In L-C oscillation the maximum charge on the capacitor can be \( Q \). If at any instant, electric energy and magnetic energy associated with the current is
equal, then the charge on the capacitor at that instant is :
A \( \cdot \frac{Q}{\sqrt{2}} \)
в. \( \frac{Q}{2} \)
c. \( \frac{3 Q}{\sqrt{2}} \)
D. \( \frac{3 Q}{2} \)
| 3 |
Physics
|
The area between the curve \( y=2 x^{4}- \)
\( x^{2}, \) the \( x- \) axis and the ordinates of two
minima of the curve is:
A \( \cdot \frac{7}{120} \) sq.unit
B. \( \frac{9}{120} \) sq.unit
c. \( \frac{11}{120} \) sq.unit
D. \( \frac{13}{120} \) sq.unit
| 2 |
Maths
|
If a sphere and a cube have the same volume then the ratio of the surface of
the sphere to that of the cube is
A \( \cdot \sqrt{6}: \sqrt{\pi} \)
B. \( \sqrt[3]{3 \pi}: \sqrt[3]{3} \)
C \( \cdot \sqrt[3]{\pi}: \sqrt[3]{6} \)
D. none of these
| 2 |
Maths
|
Assertion
In physical adsorption, enthalpy of adsorption is very low.
Reason
In physical adsorption, attraction between gas molecules and solid surface is due to weak van der Waals
forces
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
|
An equiconvex lens is made from glass of refractive index \( 1.5 . \) If the radius of
each surface is changed from 5 \( \mathrm{cm} \) to
\( 6 c m, \) then the power:
A. Remains unchanged
B. Increases by 3.33 D
c. Decreases by 3.33 D
D. Decreases by \( 5.5 D \)
| 3 |
Physics
|
In order to save Taj, Supreme court has ordered the industries and vehicles to
switch to:
A . LPG
в. смG
c. unleaded petrol
D. All of the above
| 1 |
Chemistry
|
State whether the following statement
is true or False:
Human beings and most animals like birds, beer, bees, mosquitoes produce sound by the vibrations of their vocal chords.
A. True
B. False
| 3 |
Physics
|
Two electric field lines cannot cross
each other. Also, they cannot form closed loops. Give reasons.
| 3 |
Physics
|
Find the area of the region bounded by
the curve \( y^{2}=x \) and the lines \( x= \)
\( 4, x=9 \) and the \( x- \) axis in the first
quadrant.
| 2 |
Maths
|
A force \( (2 \hat{i}+\hat{j}-\hat{k}) N \) acts on a body
which is initially at rest. At the end of \( 20 s \) the velocity of the body is \( (4 \hat{i}+ \) \( \mathbf{2} \hat{\boldsymbol{j}}-\mathbf{2} \hat{\boldsymbol{k}}) \boldsymbol{m} \boldsymbol{s}^{-1}, \) then the mass of the
body is:
A. \( 8 \mathrm{kg} \)
B. \( 10 \mathrm{kg} \)
c. \( 5 k g \)
D. \( 4.5 \mathrm{kg} \)
| 3 |
Physics
|
The disintegration energy \( Q \) for the change \( _{Z}^{A} \mathbf{X} \stackrel{-\alpha}{\longrightarrow} \underset{Z-2}{A-4} \mathbf{D}+Q \) is given by
\( \boldsymbol{Q}=\left[\boldsymbol{M}\left(\begin{array}{l}A \mathbf{X} \\ Z\end{array}\right)-\boldsymbol{M}\left(\begin{array}{l}\boldsymbol{A}-\mathbf{4} \\ \boldsymbol{Z}-\mathbf{2}\end{array} \mathbf{D}\right)-\right. \)
\( \left.M\left(_{2}^{4} \mathbf{H e}\right)\right] C^{2}, \) where \( M \) represents the
mass of respective nuclei reported in
paranthesis and \( C \) is speed of light. For
\( \alpha \) -decay :
A. \( Q=+v e \)
В. \( Q=-v e \)
c. \( Q=0 \)
D. not related with \( Q \)
| 1 |
Chemistry
|
Which of the following paths is/are
feasible for the preparation of ether \( (A) ? \)
This question has multiple correct options
A. Path I
B. Path II
c. Path II
D. Path IV
| 1 |
Chemistry
|
At \( 298 K, \) given that:
\[
\begin{array}{c}
\boldsymbol{C u}(\boldsymbol{s})\left|\boldsymbol{C} \boldsymbol{u}^{2+}(\mathbf{1} . \boldsymbol{0} \boldsymbol{M}) \| \boldsymbol{A} \boldsymbol{g}^{+}(\mathbf{1} . \boldsymbol{0} \boldsymbol{M})\right| \boldsymbol{A} \boldsymbol{g}(\boldsymbol{s}) \\
\boldsymbol{E}_{c e l l}^{o}=\mathbf{0 . 4 6} \boldsymbol{V} \\
\boldsymbol{Z} \boldsymbol{n}(\boldsymbol{s})\left|\boldsymbol{Z} \boldsymbol{n}^{2+}(\mathbf{1} \cdot \mathbf{0} \boldsymbol{M}) \| \boldsymbol{C} \boldsymbol{u}^{2+}(\mathbf{1} . \boldsymbol{0} \boldsymbol{M})\right| \boldsymbol{C} \boldsymbol{u} \\
\boldsymbol{E}_{\text {cell }}^{o}=\mathbf{1 . 1 0} \boldsymbol{V}
\end{array}
\]
Then, the \( E_{\text {cell}} \) for the following reaction
at \( 298 K \) will be:
\[
\boldsymbol{Z} \boldsymbol{n}(\boldsymbol{s})\left|\boldsymbol{Z} \boldsymbol{n}^{2+}(\boldsymbol{0} \cdot \boldsymbol{1} \boldsymbol{M}) \| \boldsymbol{A} \boldsymbol{g}^{+}(\mathbf{1} \cdot \boldsymbol{0} \boldsymbol{M})\right| \boldsymbol{A} \boldsymbol{g}(s
\]
A . \( 1.56 V \)
в. \( 1.53 V \)
\( \mathbf{c} .2 .53 V \)
D. cannot be calculated due to insufficient data
| 1 |
Chemistry
|
A light rod of length \( 2 m \) is suspended
from the ceiling horizontally by means
of two vertical wires of equal length tied to its ends. One of the wires is made of
steel and is of cross section \( 0.1 \mathrm{cm}^{2} . \) A
weight is suspended from a certain
point of the rod such that equal stress are produced in both the wires.Which of the following are correct?
This question has multiple correct options
A. The ratio of tension in the steel and brass wires is 0.5
B. The load is suspended at a distance of \( 400 / 3 c m \) from the steel wire
c. Both (a) and
(b) are correct
D. Neither
(a) nor
(b) are correct
| 3 |
Physics
|
Sum of the series \( 4+6+9+13+ \)
\( 18+\ldots \) to \( n \) terms be \( = \)
\( \frac{\boldsymbol{n}}{\boldsymbol{k}}\left(\boldsymbol{n}^{2}+\boldsymbol{3} \boldsymbol{n}+\boldsymbol{m}\right) \cdot \) Find \( \boldsymbol{m}-\boldsymbol{k} ? \)
| 2 |
Maths
|
\( \boldsymbol{U}=\{\boldsymbol{a}, \boldsymbol{b}, \boldsymbol{c}, \boldsymbol{d}, \boldsymbol{e}, \boldsymbol{f}, \boldsymbol{g}\},\left(\boldsymbol{A}^{\prime}\right)=\{\boldsymbol{b}, \boldsymbol{d}, \boldsymbol{f}\} \)
show that Venn diagram.
| 2 |
Maths
|
A motor car is traveling at \( 30 m s^{-1} \) on a circular road of radius \( 500 \mathrm{m} \). It is
increasing speed at the rate of \( 2 m s^{-2} \) The acceleration of car is :
A \( .2 m s^{-2} \)
В. 2.7 \( m s^{-2} \)
\( c \cdot 3 m s^{-2} \)
D. 3.7 \( m s^{-2} \)
| 3 |
Physics
|
toppr
Q Type your question
3. Flying foxes, member of Chiroptera
4. Proboscidea, the largest land animal
5. Primates with estrous or menstrual
cycle
6. Legormorphs with two pairs of
incisors with open root canals
7. Prototherians, sharing features with primitive vertebrates.
A. \( 1-A, 2-F, 3-C, 4-G, 5-D, 6-E, 7-B \)
B. 1- B, 2- G, 3- D, 4- A, 5- F, 6- E, 7- C
c. \( 1- \) В, \( 2-F, 3-C, 4-G, 5-D, 6-B, 7-E \)
D. \( 1- \) B, \( 2-F, 3-G, 4-A, 5-D, 6-E, 7-C \)
| 0 |
Biology
|
Why family is important?
| 0 |
Biology
|
In which direction does he move the
lens to focus the flame on the screen?
| 3 |
Physics
|
At what point on the curve \( y=x(x-4) \) on [0,4] is the tangent parallel to \( X \) -axis.
| 2 |
Maths
|
How many \( \sigma \) and bond present in
benzene \( \left(C_{6} H_{6}\right) \) molecule?
| 1 |
Chemistry
|
What happens when \( N a C N \) is added in
ore containing \( P b S \) and \( Z n S \) during
concentration by froth floatation method?
| 1 |
Chemistry
|
The following question is relevant to the extraction of Aluminium:
Along with cryolite and alumina, another substance is added to the
electrolyte mixture. the substance is
A. Fluorspar
B. Mica
c. Nacı
D. None of these
| 1 |
Chemistry
|
\( \boldsymbol{P h C} \equiv \boldsymbol{C M e} \frac{\boldsymbol{H}_{3} \boldsymbol{O}^{+}, \boldsymbol{H} \boldsymbol{g}^{2+}}{\rightarrow} \)
Identify the product in the reaction.
\( \mathbf{A} \cdot P h C H_{2} C H_{2} C H O \)
в. \( \operatorname{Ph} \mathrm{hOCH}_{2} \mathrm{CH}_{3} \)
\( \mathbf{c} \cdot P h C H_{2} C O C H_{3} \)
D. Рh СОСОМ
| 1 |
Chemistry
|
Give the zeros of polynomial and list their multiplicities:
\( \boldsymbol{P}(\boldsymbol{x})=(\boldsymbol{x}+\mathbf{2})(\boldsymbol{x}-\mathbf{1}) \)
| 2 |
Maths
|
If Bohr radius is \( r_{0}, \) the corresponding de Broglie wavelength of the electron is
\( ^{\mathbf{A}} \cdot\left(\frac{2 \pi}{r_{o}}\right) \)
В \( \cdot\left(\frac{r_{o}}{2 \pi}\right) \)
c. \( \left(\frac{1}{2 \pi r_{o}}\right) \)
D. \( 2 \pi r_{o} \)
| 3 |
Physics
|
Roots are absent in
A. Wolffia
B. Utricularia
c. Nymphaea
D. Both A and B
| 0 |
Biology
|
Component of ETC of mitochondria is
A. Carotenoids
B. Plastocyanin
c. Phytochrome
D. Cytochrome oxidase
| 0 |
Biology
|
Name the hormones secreted by the following endocrine gland and specify one function.
Pancreas.
| 0 |
Biology
|
A piston exerting a pressure of 1.0 atmosphere rests on the surface of
water at \( 100^{\circ} \mathrm{C} \). The pressure is reduced to smaller extent and as a
result 10 g of water evaporates and absorbs \( 22.2 \mathrm{kJ} \) of heat. The change in internal energy is:
A . 18.24 k
B. 20.477 kJ
c. 22.05 kJ
D. 23.923 kJ
| 1 |
Chemistry
|
The following table gives the numbers of branches and number plants in a garden of a school
No. of
\[
\mathbf{2}
\]
branches \( \mathbf{3} \)
No. of plants
\( 14 \quad 21 \quad 28 \quad 20 \)
Calculate the mean, median and mode
of the above data.
| 2 |
Maths
|
A conducting loop rotates with constant
angular velocity about its fixed
diameter in a uniform magnetic field,
whose direction is perpendicular to that
fixed diameter
This question has multiple correct options
A. The emf will be maximum at the moment when flux is
zero
B. The emf will be 0 at the moment when flux is maximum
C. The emf will be maximum at the moment when plane of the loop is parallel to the magnetic field
D. The phase difference between the flux and the emf is \( \pi / 2 \)
E . answer required
| 3 |
Physics
|
The definition of resistance given by \( R=\frac{V}{I} \) holds good for:
A. conductors only
B. Metals only
c. Non-ohmic devices only
D. All conducting devices, whetheror not they obey onm's law
| 3 |
Physics
|
Mean deviation of the series \( a, a+ \)
\( \boldsymbol{d}, \boldsymbol{a}+\mathbf{2} \boldsymbol{d}, \ldots, \boldsymbol{a}+\boldsymbol{2 n} \boldsymbol{d} \) from its mean is
A \( \cdot \frac{(n+1) d}{(2 n+1)} \)
в. \( \frac{n d}{2 n+1} \)
c. \( \frac{(2 n+1) d}{n(n+1)} \)
D. \( \frac{n(n+1) d}{2 n+1} \)
| 2 |
Maths
|
The solution of \( x \cos ^{2} y(d x)+ \) \( \tan y(d y)=0 \) is:
\( \mathbf{A} \cdot x^{2}+\sec ^{2} y=c \)
B . \( x^{2}+c o t^{2} y=c \)
C \( \cdot x^{2}+\sin ^{2} y=c \)
D. \( x^{2}+\cos ^{2} y=c \)
| 2 |
Maths
|
Permanent hardness of water is due to
the presence of the bicarbonates of Ca, Mg and Fe. If this is true enter 1 , if false enter 0 .
| 1 |
Chemistry
|
Petroleum is:
A. lighter than water and soluble in it
B. heavier than water and insoluble in it
C. lighter than water and insoluble in it
D. heavier than water and soluble in it
| 1 |
Chemistry
|
Apart from \( N_{3} O, \) which other colourless gas supports combustion?
A \( . N O_{2} \)
в. \( O_{2} \)
c. \( N_{2} O_{4} \)
D. \( N O \)
| 1 |
Chemistry
|
A person is moving on a rough horizontal surface towards east. Then
the direction of friction force is towards:
A. west
B. East
C. Friction does not act
D. Information insufficient
| 3 |
Physics
|
S.I. Unit of universal gravitational
constant \( G \) is-
\( ^{\mathbf{A}} \cdot \frac{N m^{2}}{K g} \)
в. \( \frac{N m^{2}}{K g^{2}} \)
c. \( \frac{N m}{K g^{2}} \)
D. \( \frac{N m}{K g} \)
| 3 |
Physics
|
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