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A flow of \( 10^{6} \) electrons per second in a
conducting wire constitutes a flow of
current
A . \( 1.6 \times 10^{-15} A \)
В. \( 1.6 \times 10^{-11} \) А
c. \( 1.6 \times 10^{-12} A \)
D. \( 1.6 \times 10^{-19} A \)
E . \( 1.6 \times 10^{-13} A \)
| 3 |
Physics
|
Two half life radioactive substance is
20 minutes. The approximate time
interval \( \left(t_{2}-t_{1}\right) \) between the time \( t_{2} \)
when \( \frac{2}{3} \) of it has decayed and time \( t_{1} \) and \( \frac{1}{3} \) of it had decayed is:
A . 14 min
B. 20 min
\( c .28 \) min
D. 7 min
| 3 |
Physics
|
Chlorination of toulene in the presence
of light and heat followed by the treatment with aqueous \( N a O H \) gives:
A. o-cresol
B. p-Cresol
c. 2,4 -Dihydroxy toulene
D. Benzoic acid
| 1 |
Chemistry
|
Consider a neutral conducting sphere. A positive point charge is placed outside the sphere. The net charge on the sphere is then,
A. negative and distribute uniformly over the surface of the sphere
B. negative and appears only at the sphere closest to the point charge
c. negative and distribute non-uniformly over the entire surface of the sphere
D. zero
| 3 |
Physics
|
Onions are modified
A. Stem
B. Leaves
\( c . \) Root
D. All of the above
| 0 |
Biology
|
The angular momentum of an electron depends on:
A. principal quantum number
B. azimuthal quantum number
c. magnetic quantum number
D. all of the above
| 1 |
Chemistry
|
Evaluate the definite integral \( \int_{\frac{\pi}{6}}^{\frac{\pi}{3}} \frac{\sin x+\cos x}{\sqrt{\sin 2 x}} d x \)
| 2 |
Maths
|
The correct decreasing order of boiling points of petroleum fractions is:
A. petrol > lubricating oil > diesel > LPG
B. lubricating oil > diesel > petrol> LPG
c. petrol > diesel > LPG > lubricating oil
D. lubricating oil > petrol> diesel > LPG
| 1 |
Chemistry
|
Consider the situation shown in figure. Show that if the blocks are displaced slightly in opposite directions and released, they will execute simple harmonic motion. Calculate the time
period.
uculate
| 3 |
Physics
|
In intrinsic semiconductors;
A. holes or electrons are supplied by a foreign atom acting as an impurity
B. holes in the valence band are vacancies created by electrons that have been thermally excited to the conduction band
C. has high amount of impurities
D. none of the above
| 3 |
Physics
|
When potassium dichromate is heated, one of the products are:
в. \( C r_{2} O_{5} \)
\( c \cdot O_{3} \)
D. \( O_{2} \)
| 1 |
Chemistry
|
In the \( \Delta A B C, A=(1,3,-2) \) and \( G(-1,4, \)
2) is the centroid of the triangle. If D is the mid point of \( \mathrm{BC} \) then \( \mathrm{AD}= \)
A \( \cdot \frac{\sqrt{21}}{2} \)
B. \( \frac{3 \sqrt{21}}{2} \)
\( c \cdot \sqrt{21} \)
D. \( \frac{63}{2} \)
| 2 |
Maths
|
If the probability of selecting a bolt from
400 bolts is \( 0.1, \) then the mean for the
distribution is
A . 0.09
B . 40
\( c .36 \)
D. 360
| 2 |
Maths
|
The production of saleable steel in some of the steel plants of our country during 1999 is given below:
Plant \( \quad \) Bhilai \( \quad \) Durgapur \( \quad \) Rourkel
Production
In thousand tonnes
Construct a bar graph to represent the above data on a graph paper by using the scale 1 big divisions \( =20 \) thousand
tonnes.
| 2 |
Maths
|
The displacement of \( S \) of a particle at time \( t(O<t<\pi) \) is given by \( S= \)
\( \sin 2 t-6 \cos t . \) Then the acceleration for
the value of \( t \) for which its velocity is
zero is
A .0 unit/ \( \sec ^{2} \)
B. 3 unit/ sec \( ^{2} \)
c. 2 unit \( \mid \sec ^{2} \)
D. 4 unit/ \( \sec ^{2} \)
| 2 |
Maths
|
Which is the correct sequence of planets in increasing order of size?
A. Saturn, Jupitar, Uranus, Neptune
B. Jupitar, Saturn, Uranus, Neptune
c. Jupitar, Uranus, Neptune, Saturn
D. Neptune, Uranus, Saturn, Jupitar
| 3 |
Physics
|
Find the time dependence of the velocity of the particle.
A \( \cdot v=\frac{\alpha t}{4} \)
B. \( v=\frac{\alpha^{2} t}{2} \)
\( ^{\mathrm{C}} \cdot_{v}=\frac{\alpha^{2} t}{4} \)
D. \( v=\frac{\alpha t}{2} \)
| 3 |
Physics
|
In the region of only gravitational fields of mass ' \( M^{\prime} \) a particle is shifted from \( \boldsymbol{A} \)
to \( B \) via three different paths of length
\( 5 m, 10 m \) and \( 25 m . \) The work done in
different paths is \( W_{1}, W_{2}, W_{3} \) respectively then:
A. \( W_{1}=W_{2}=W_{3} \)
В. \( W_{1}>W_{2}>W_{3} \)
C \( . W_{1}=W_{2}>W_{3} \)
D. \( W_{1}<W_{2}<W_{3} \)
| 3 |
Physics
|
Capacity of a parallel capacitor with dielectric constant 5 is \( 40 \mu F . \) Calculate
the capacity of the same capacitor when dielectric material is removed.
| 3 |
Physics
|
Which of the following statements
is/are correct?
This question has multiple correct options
\( \mathbf{A} \cdot\left[C o(p n)_{2} C l_{2}\right]^{+} \) forms cis-trans isomers
B . \( \left[\operatorname{Co}\left(N H_{3}\right)_{4}\left(H_{2} O\right) C l\right] B r_{2} \) exhibits both ionization as well as hydrate isomerism.
\( \mathbf{c} \cdot\left[C r\left(g l y_{3}\right] \) exhibits both geometrical and optical \right. isomerism.
D. \( \left[\operatorname{Co}\left(N H_{3}\right)_{4} C l_{2}\right] N O_{2} \) exhibits both ionization as well as linkage isomerism.
| 1 |
Chemistry
|
Figure shows the electric field lines
around three point charges \( A, B \) and \( C \)
Which charge has the largest
magnitude then?
\( \mathbf{A} \cdot A \)
B. \( B \)
\( c \cdot C \)
D. \( B \) and \( C \) have equal magnitude
| 3 |
Physics
|
Give some examples of Tyndall effect
observed in your surroundings? This question has multiple correct options
A. Sunbeam coming from ventilation
B. Milk in a glass appearing faint blue
C. Sunbeam coming from behind the clouds
D. Flour suspended in water
| 1 |
Chemistry
|
In Hall-Heroult process \( C O_{2} \) is released
at ?
| 1 |
Chemistry
|
Express the matrices as the sum of
systemmetric \( \& \) a skew- symmetric
\[
\text { matrices }\left[\begin{array}{ccc}
\mathbf{6} & -\mathbf{2} & \mathbf{2} \\
-\mathbf{2} & \mathbf{3} & -\mathbf{1} \\
\mathbf{2} & -\mathbf{1} & \mathbf{3}
\end{array}\right]
\]
| 2 |
Maths
|
A block is thrown with a velocity of \( 2 m / s \) (relative to ground) on a belt,
which is moving with velocity \( 4 m / s \) in
opposite direction of the initial velocity
of block. If the block stops slipping on
the belt after \( 4 s \) of the throwing then
choose the correct statement(s)
This question has multiple correct options
A. Displacement with respect to ground is zero after 2.66 and displacement with respect to ground is \( 12 \mathrm{m} \) after \( 4 s \)
B. Displacement with respect to ground in \( 4 s \) is \( 4 m \).
C. Displacement with respect to belt in \( 4 s \) is \( -12 m \).
D. Displacement with respect to ground is zero in \( \frac{8}{3} s \)
| 3 |
Physics
|
Find the time period of meeting of minute hand and second hand of a
clock?
A. 60 min
в. \( \frac{59}{60} \) min
c. \( \frac{60}{59} \) min
D. 59 min
| 3 |
Physics
|
Evaluate the integral \( \int_{0}^{\pi / 2} \sin 2 x \log (\tan x) d x \)
\( \mathbf{A} \cdot \mathbf{0} \)
B. \( -1 / 2 \)
c. \( 1 / 3 \)
D. \( 1 / 4 \)
| 2 |
Maths
|
Which of the following equation does
not represent a SHM?
\( \mathbf{A} \cdot \cos \omega t+\sin \omega t \)
\( \mathbf{B} \cdot \sin \omega t-\cos \omega t \)
c. \( 1-\sin 2 \omega t \)
\( \mathbf{D} \cdot \sin \omega t+\cos (\omega t+\alpha) \)
| 3 |
Physics
|
The total number of electrons in 4.2 g of \( N^{3-} \) ion is: \( \left(N_{A} \) is the Avogadro's \right.
number
A \( \cdot 2.1 N_{A} \)
в. \( 4.2 N_{A} \)
\( c \cdot 3 N_{A} \)
D. \( 3.2 N_{A} \)
| 1 |
Chemistry
|
Expand:
\( \frac{1}{\sec A-\tan A}-\frac{1}{\cos A} \)
| 2 |
Maths
|
Two separate monochromatic light beams \( A \) and \( B \) of the same intensity
are falling normally on a unit area of a metallic surface. Their wavelengths are
\( \boldsymbol{\lambda}_{A} \) and \( \boldsymbol{\lambda}_{B}, \) respectively. Assuming that
all the incident light is used in ejecting the photoelectrons, the ratio of the number of photoelectrons from beam \( \boldsymbol{A} \)
to that from \( B \) is:
A. \( \frac{\lambda_{A}}{\lambda_{B}} \)
в. \( \frac{\lambda_{B}}{\lambda_{A}} \)
\( ^{c}\left(\frac{\lambda_{B}}{\lambda_{A}}\right)^{2} \)
\( ^{\mathrm{D}}\left(\frac{\lambda_{A}}{\lambda_{B}}\right)^{2} \)
| 3 |
Physics
|
Find the ratio in which the straight line segment joining (-2,-3) and (5,6) is divided by (i) x-axis (ii) y-axis. Also, find the coordinates of the point of division in each case.
| 2 |
Maths
|
Evaluate: \( \lim _{x \rightarrow 0}\left[\tan \left(\frac{\pi}{4}+x\right)\right]^{\frac{1}{\sin 2 x}} \)
| 2 |
Maths
|
Match the Column I with Column II
Column
(A) A body which regains its original shape after the removal of external forces
(B) A body which does not regain its original shape after the removal Elastic of external forces.
(C) A body which does not show any deformation on applying external forces
(D) The property of the body to regain
(s) Rigid its original configuration when the deforming forces are removed
A. A-q, B-r, C-s, D-p
B. A-p, B-q, C-r, D-s
\( c \cdot A-r, B-s, c-p, D-q \)
D. A-s, B-p, C-q, D-r
| 3 |
Physics
|
Cells which lose their nucleus during differentiation are
A. Nerve cells
B. Muscle cells
c. Erythrocytes
D. Leucocytes
| 0 |
Biology
|
For a dilute solution containing \( 2.5 g m \) of a non-volatile non-electrolyte solute in \( 100 g m \) of water, the elevation in boiling point at 1 atm pressure is \( 2^{\circ} C \) Assuming concentration of solute is much lower than the concentration of
solvent, the vapour pressure (mm of \( \boldsymbol{H} \boldsymbol{g} \)
of the solution is \( \left(\boldsymbol{K}_{\boldsymbol{b}}=\right. \)
\( \left.0.76 K k g m o l^{-1}\right) \)
A .724
в. 740
\( c .736 \)
D. 718
| 1 |
Chemistry
|
Variegated coloration of leaves, first studied by K.Correns in 1909 is inherited only from the female parent. The genes coding for this trait are located in
A . ER
B. Nucleus
c. Plastids
D. Plasma membrane
| 0 |
Biology
|
The solution of \( \left(x^{3}-2 y^{3}\right) d x+ \)
\( 3 x y^{2} d y=0 \) is:
A \( \cdot x^{3}-y^{3}=c x^{2} \)
в. \( x^{3}=y^{3} \)
c. \( x^{3}-y^{3}=c x \)
D. \( x^{3}+y^{3}=c x^{2} \)
| 2 |
Maths
|
n figure, \( A B \| C D \) and a transversal
\( P Q \) cuts them at \( L \) and \( M \) respectively.
f \( \angle Q M D=100^{\circ} \), find all other angles
| 2 |
Maths
|
When a sample of compound is considered to be optically pure:
A. if only one enantiomer is present
B. no enantiomer is present
c. if the compound is having racemic mixture
D. none
| 1 |
Chemistry
|
Toricelli's barometer used mercury. Pascal duplicated it using French wine
of density \( 984 \mathrm{kg} \mathrm{m}^{-3} . \) Determine the height of the wine column for normal
atmospheric pressure.
| 3 |
Physics
|
If voltage \( V=(100 \pm 5) \vee \) and current \( I= \)
\( (10 \pm 0.2) A, \) the percentage error in resistance R is
A . \( 5.2 \% \)
B . 25\%
c. \( 7 \% \)
D. 10\%
| 3 |
Physics
|
Q Type your question
4
B.
\( c \)
D
| 1 |
Chemistry
|
Differentiate between.
Hemopoiesis and hemolysis.
| 0 |
Biology
|
Find the maximum possible percentage
error in the measurement of force on an
object(on mass \( \mathrm{m} \) ) travelling at velocity vin a circle of radius \( r, \) if \( m=(4.0 \) plus minus 0.1 ) \( \mathrm{kg}, \mathrm{v}=(10 \text { plus minus } 0.1) \mathrm{m} / \mathrm{s} \) and \( r=(8.0 \text { plus minus } 0.2) m \)
A. \( (50 \pm 1) \mathrm{N} \)
B. ( 50 ±2.5 ) N
c. \( (50 \pm 1.5) \mathrm{N} \)
D. \( (50 \pm 3.5) \) N
| 3 |
Physics
|
The perimeters of a circular field and a square field are equal. If the area of the square field is \( 12100 m^{2} \), then the area
of the circular field will be
A. \( 15500 m^{2} \)
В. \( 15400 m^{2} \)
c. \( 15200 m^{2} \)
D. \( 15300 m^{2} \)
| 2 |
Maths
|
The maximum value of the function
\( y=\frac{1}{4 x^{2}+2 x+1} \) is
A \( \cdot \frac{4}{3} \)
в. \( \frac{5}{2} \)
c. \( \frac{13}{4} \)
D. None of these
| 2 |
Maths
|
Which of the following is true regarding law of total probability?
A. It is a fundamental rule relating marginal probabilities to conditional probabilitities.
B. It expresses the total probability of an outcome which can be realized via several distinct events
c. Both are correct
D. None of these
| 2 |
Maths
|
What is the most suitable catalyst for reducing vinyl cyanide \( (\boldsymbol{C H}= \) \( \boldsymbol{C H C N} \) to propanenitrile?
A. \( H_{2} / N i \)
в. \( H_{2} / P t \)
C \( \cdot\left(P h_{3} P\right)_{3} R h C l \) (Wilkinson's catalyst)
D. LiAlH\( _{4} \)
| 1 |
Chemistry
|
Area bounded by the curves \( y=x e^{x} \)
and \( y=x e^{-x} \) and the line \( |x|=1 \) is
\( \mathbf{A} \cdot \mathbf{1} \)
B. \( \frac{4}{e} \)
\( c \)
D. -
| 2 |
Maths
|
The bouncing of a beam of light from a polished surface in some other direction is called -
\( A \). refraction
B. reflection
c. dispersion
D. scattering
| 3 |
Physics
|
An anticoagulant is
A. Heparin
B. Hirudin
c. ЕDTA
D. All of the above
| 0 |
Biology
|
Which of the following is/are correct?
This question has multiple correct options
A. The vibration of drilling machine depends on a force from outside
B. The vibration of drilling machine does not depend on a force from outside
C. When a pendulum vibrates it is free vibration because it does not depend on any outside force to vibrate
D. When a pendulum vibrates it is free vibration because it depends on any outside force to vibrate
| 3 |
Physics
|
The ionization potential of hydrogen is \( 13.6 V . \) How much energy need to be supplied to ionize the hydrogen atom in the first excited state?
A . \( 13.6 e V \)
B. 27.2eV
c. \( 3.4 e V \)
D. \( 6.8 e V \)
| 3 |
Physics
|
\( C l_{2} \) gas is obtained by various reaction
select the reactions from the
following(s):
This question has multiple correct options
A. \( K M n O_{4}+ \) conc.HCl \( \triangleq \)
B . \( K C l+K_{2} C r_{2} O_{7}+ \) conc.H \( _{2} S O_{4} \stackrel{\Delta}{\longrightarrow} \)
c. \( M n O_{2}+ \) conc.HCl \( \Delta \)
D. \( K C l+F e_{2}\left(S O_{4}\right)_{3} \rightarrow \)
| 1 |
Chemistry
|
Given, \( P(A)=\frac{3}{5} \) and \( P(B)=\frac{1}{5} . \) Find
\( P(A \text { or } B), \) if \( A \) and \( B \) are mutually exclusive events.
| 2 |
Maths
|
The immpurity atoms with which pure silicon should be doped to make a \( \mathrm{p} \) type semiconductor are those
This question has multiple correct options
A. Boron
B. Aluminium
c. Phosphorus
D. Antimony
| 3 |
Physics
|
In Earthworm, ovary is situated in
segment
\( A \cdot 13 \)
B. 9
c. 10
D. 26
| 0 |
Biology
|
Which of the following compound is used in detection of metal ions such as
\( \boldsymbol{C u}^{+\mathbf{2}}, \boldsymbol{A} \boldsymbol{g}^{+} ? \)
A \( . P H_{3} \)
в. \( N H_{3} \)
c. \( N_{2} \)
D. \( F e C l_{3} \)
| 1 |
Chemistry
|
In the given figure 'O' is the centre of the
circle and \( A B, C D \) are equal to chords. If
\( <A O B=70^{\circ} k . \) Find the angles of
\( \triangle O C D \)
| 2 |
Maths
|
Highly resistant thick walled spores produced by bacterial cells during unfavourable conditions are called as
A. Endospores
B. Heterocyst
c. Gemmules
D. zoospores
| 0 |
Biology
|
Find \( \boldsymbol{a}^{3} \) if \( \left(\frac{2}{\mathbf{7}}\right)^{\boldsymbol{a}}=\left(\frac{\mathbf{1 6}}{\mathbf{2 1}}\right)^{-\mathbf{5}} \times\left(\frac{\mathbf{3}}{\mathbf{8}}\right)^{-5} \)
| 2 |
Maths
|
In conductors electrons can flow
because their
A . ions are free
B. electrons are free and mobile
c. protons are free
D. negative ions are free
| 3 |
Physics
|
A man bought a goat for Rs. \( 2000 . \) He sold at a loss of \( 20 \%, \) the sell price of the goat which was sold at a loss was
A. Rs. 1,648
B. Rs. 1, 600
c. Rs. 1,048
D. Rs. 2,048
| 2 |
Maths
|
If \( l=50 \mathrm{kg}-m^{2}, \) then how much torque
will be applied to stop it in 10 sec. Its initial angular speed is 20 rad sec.
A . \( 100 \mathrm{N}-\mathrm{m} \)
B . \( 150 \mathrm{N}-\mathrm{m} \)
c. \( 200 \mathrm{N}-\mathrm{m} \)
D. \( 250 \mathrm{N}-\mathrm{m} \)
| 3 |
Physics
|
How many grams of concentrated nitric acid solution should be used to prepare
\( 250 \mathrm{mL} \) of \( 2.0 \mathrm{M} H N O_{3} ? \)
The concentrated acid is \( 70 \% H N O_{3} \)
A \( \cdot 45.0 \mathrm{g} \) conc. \( \mathrm{H} \mathrm{NO}_{3} \)
B. 90.0 g conc. H NO
c. \( 70.0 \mathrm{g} \) conc. \( \mathrm{H} \mathrm{NO}_{3} \)
D. 54.0 g conc. \( H N O_{3} \)
| 1 |
Chemistry
|
The number of atoms present in 0.5 mole of nitrogen is same as the atoms in:
(a)12 g of \( \mathrm{C} \)
(b) 64 g of \( s \)
\( (c) 8 g \) of 0
(d) 48 g of mg
| 1 |
Chemistry
|
In the figure, it is given that \( B R=P C \)
and \( \angle A C B=\angle Q P R \) and \( A B \| P Q \)
Prove that \( \boldsymbol{A C}=\boldsymbol{Q} \boldsymbol{R} \)
| 2 |
Maths
|
Water is a resource
A. Degradable maintainable
B. Non-degradable maintainable
C. Renewable
D. Non-renewable
| 0 |
Biology
|
An object \( 20 \mathrm{cm} \) from a concave mirror form an image, double the size of the object, on a screen. How far should the screen be placed from the mirror?
A. -40 cm
B. 40 cm
c. \( 20 \mathrm{cm} \)
D. -20 cm
E. 30 \( \mathrm{cm} \)
| 3 |
Physics
|
A wheel of radius R rolls without
slipping on the ground with a uniform
velocity v. The relative acceleration of
the top most point ofthe wheel with
respect to the bottom most point is
\( \mathbf{A} \cdot \frac{v^{2}}{R} \)
B. \( \frac{2 v^{2}}{R} \)
c. \( \frac{v^{2}}{2 R} \)
D. \( \frac{4 v^{2}}{R} \)
| 3 |
Physics
|
(i) What type of isomers are
\( \left[\boldsymbol{C o}\left(\boldsymbol{N} \boldsymbol{H}_{3}\right)_{5} \boldsymbol{B r}\right] \boldsymbol{S} \boldsymbol{O}_{4} \) and
\( \left[\boldsymbol{C o}\left(\boldsymbol{N} \boldsymbol{H}_{3}\right)_{5} \boldsymbol{S O}_{4}\right] \boldsymbol{B r} ? \) Give a chemical
test to distinguish between them.
(ii) Write the structures of optical isomers of the complex ion
\( \left[\boldsymbol{C o}(\boldsymbol{e n})_{2} \boldsymbol{C l}_{2}\right]^{+} \)
| 1 |
Chemistry
|
DNA differs from RNA in the nature of
A. Sugar alone
B. Purines alone
c. sugar and pyrimidines
D. sugar and purines
| 0 |
Biology
|
Q Type your question_
charge of \( +5 q . \) Which diagram best
represents the charge distribution on
the sphere?
\( \mathbf{A} \)
Solid Conducting Sphere
Stand
B. Solid Conducting Sphere
Stand
\( c \)
Solid Conducting Sphere
Stand
D. Solid Conducting Sphere
Stand
| 3 |
Physics
|
Position of a body moving along a
straight line is given by \( s=p t+q t^{2} \)
where \( p \) and \( q \) are constant. State
whether the body is moving with
constant velocity or constant acceleration.
| 3 |
Physics
|
Hydrochloric acid reacts with metals to produce:
A. hydrogen
B. chlorine
c. carbon dioxide
D. oxygen
| 1 |
Chemistry
|
Write the value of
\( \tan ^{-1}\left[2 \sin \left(2 \cos ^{-1} \frac{\sqrt{3}}{2}\right)\right] \)
| 2 |
Maths
|
product in each of the following
reactions:
(i) \( C H_{3} C H_{2} C H_{2} C l+N a I \frac{\text { acetone }}{h e a t} \)
(ii) \( \left(C H_{3}\right)_{3} C B r+K O H \frac{e \text {thanol}}{\text {heat}} \)
(iii) \( C H_{3} C H(B r) C H_{2} C H_{3}+ \)
\( N a O H \stackrel{w a t e r}{\longrightarrow} \)
(iv) \( \left(C H_{3}\right)_{3} C B r+K O H \frac{\text {ethanol}}{\text {heat}} \)
(v) \( C_{6} H_{5} O N a+C_{2} H_{5} C l \longrightarrow \)
\( (\mathrm{vi}) C H_{3} C H_{2} C H_{2} O H+S O C l_{2} \longrightarrow \)
(vii) \( C H_{3} C H_{2} C H=C H_{2}+ \)
\( \boldsymbol{H} \boldsymbol{B} \boldsymbol{r} \stackrel{\text {peroxide}}{\longrightarrow} \)
\( \left(\text { viii) } \boldsymbol{C} \boldsymbol{H}_{3} \boldsymbol{C H}=\boldsymbol{C}\left(\boldsymbol{C H}_{3}\right)_{2}+\right. \)
\( \boldsymbol{H} \boldsymbol{B} \boldsymbol{r} \longrightarrow \)
| 1 |
Chemistry
|
If a magnet is suspended at an angle
\( 30^{\circ} \) to the magnetic meridian, the dip
needle makes angle of \( 45^{\circ} \) with the horizontal. The real dip is :
A \( \cdot \tan ^{-1}(\sqrt{3} / 2) \)
B. \( \tan ^{-1}(\sqrt{3}) \)
\( \mathbf{c} \cdot \tan ^{-1}(\sqrt{3} / \sqrt{2}) \)
D. \( \tan ^{-1}(2 / \sqrt{3}) \)
| 3 |
Physics
|
Reticulate venation is found in the
plants with
A. Tap root system
B. Fibrous root system
c. Branched root system
D. Both A and C
| 0 |
Biology
|
In a thermodynamic process pressure of a fixed mass of a gas is changed in such a manner that the gas releases
\( 20 J \) of heat and \( 8 J \) of work is done on
the gas. If initial internal energy of the gas was \( 30 J \), what will be the fixed
internal energy?
\( \mathbf{A} \cdot 9 J \)
B. \( 27 J \)
c. \( 18 J \)
D. \( 12 J \)
| 3 |
Physics
|
Charging by friction can be explained by
A . electrostatic conduction
B. electrostatic induction
c. ionisation
D. All of the above
| 3 |
Physics
|
The highest score of a certain data exceeds in lowest score by 16 and coefficient of range is \( \frac{1}{3} . \) The sum of the highest score and the lowest score is
A . 36
B. 48
c. 24
D. 18
| 2 |
Maths
|
In the case of different rolling bodies
match the ratio of rotational kinetic
energy to the total kinetic energy
\( \begin{array}{ll}\text { List-I } & \text { List-II } \\ \text { a) hollow sphere } & \text { e) } 2: 5 \\ \text { b) solid cylinder } & \text { f) } 1: 2\end{array} \) c) solid sphere
d) hollow cylinder
\( A \)
\( a-h ; b-g ; c-e ; d-f \)
в. \( a-h ; b-g ; c-f ; d-e \)
c. \( a-e ; b-g ; c-h ; d-f \)
D. \( a-e ; b-g ; c-f ; d-h \)
| 3 |
Physics
|
Give the structural formulae for the
following:
2-propanol
| 1 |
Chemistry
|
The lubricant mucin of saliva is made
up of
A. Unsaturated fats
B. Polysaccharides
c. Glycoproteins
D. Phospholipids
| 0 |
Biology
|
Express \( 2 \frac{1}{5} \) as a fraction of \( 7 \frac{2}{9} \)
A \( \cdot \frac{99}{325} \)
в. \( \frac{143}{9} \)
c. \( \frac{67}{200} \)
D. \( \frac{143}{18} \)
| 2 |
Maths
|
In a square room ABCD a small plane
mirror \( \mathrm{M} \) is rotating with \( \omega=\pi / 60 \)
rad/sec about a vertical axis through
the centre of the room. The source \( S \)
directs a thin parallel beam of ray at the
centre of the mirror. Time taken by reflected spot of light to cross the wall
DA is?
A . 10 sec
B. \( 12.5 \mathrm{sec} \)
c. \( 15 \sec \)
D. 20 sec
| 3 |
Physics
|
A tension of \( 20 N \) is applied to a copper
wire of cross sectional area \( 0.01 c m^{2} \)
Young's Modulus of copper is \( 1.1 \times \)
\( 10^{11} N / m^{2} \) and Poisson's ratio is 0.32
The decrease in cross sectional area of
the wire is:
\( \mathbf{A} \cdot 1.16 \times 10^{-6} \mathrm{cm}^{2} \)
В. \( 1.16 \times 10^{-5} \mathrm{m}^{2} \)
c. \( 1.16 \times 10^{-4} m^{2} \)
D. \( 1.16 \times 10^{-3} \mathrm{cm}^{2} \)
| 3 |
Physics
|
Using \( \varepsilon=-\frac{d \phi}{d t} \) and \( \varepsilon=i R \) find the
current in the loop after the external
field has stopped changing.
A \( \cdot \frac{d i}{d t}=-\left(\frac{2 R}{\mu_{0} \pi a}\right) \)
в. \( \frac{d i}{d t}=-\frac{R}{\mu_{0} a} \)
c. \( \frac{d i}{d t}=\frac{-2 R}{\mu_{0} a} i \)
D. \( \frac{d i}{d t}=\frac{-2 R}{3 \mu_{0} \pi a} \)
| 3 |
Physics
|
In reverse biasing
A. large amount of current flows
B. potential barrier across junction increases
C. depletion laver resistance increases
D. no current flows
| 3 |
Physics
|
5 pencils and 7 pens together cost Rs.
\( \mathbf{5 0}, \) whereas \( \mathbf{7} \) pencils and \( \mathbf{5} \) pens together cost Rs. \( 46 . \) The cost of one pencil is
A. Rs.
в. Rs.
c. Rs.
D. Rs.
| 2 |
Maths
|
Calculate force per unit length acting
on the wire B due to the current flowing
in the wire \( A \)
| 3 |
Physics
|
\( \lim _{x \rightarrow 0} \frac{(1-\cos 2 x)(3+\cos x)}{x \tan 4 x} \) is equal to:
A. \( -\frac{1}{4} \)
B.
c.
D.
| 2 |
Maths
|
Which of the following quantities are always negative?
A \( \cdot \vec{F} \cdot \vec{r} \)
в. \( \vec{v} \cdot \vec{r} \)
c. \( \vec{a} \cdot \vec{r} \)
D. Both \( A \) and \( C \)
| 3 |
Physics
|
Wasp stings can be treated with:
A. baking soda
B. vinegar
c. washing soda
D. milk of magnesia
| 1 |
Chemistry
|
Formula of oleum is:
\( \mathbf{A} \cdot H_{2} S O_{3} \)
\( \mathbf{B} \cdot H_{2} S O_{4} \)
\( \mathbf{c} \cdot H_{2} S O_{5} \)
D. \( H_{2} S_{2} O_{7} \)
| 1 |
Chemistry
|
Electric field in a region is given by \( \overrightarrow{\boldsymbol{E}}=-4 \boldsymbol{x} \hat{\boldsymbol{i}}+\boldsymbol{6} \boldsymbol{y} \hat{\boldsymbol{j}}, \) find the charge
enclosed in cube of side 1 m oriented as
shown in figure.
\( 4 \cdot 2 \varepsilon \)
B.
\( c \cdot \varepsilon \)
D. \( 6 \varepsilon \)
| 3 |
Physics
|
The equation of the straight line cutting off an intercept 8 on \( x \) -axis and making
an angle of \( 60^{\circ} \) with the positive
direction of \( y- \) axis is
A \( . x-\sqrt{3} y-8=0 \)
B. \( x+\sqrt{3} y=8 \)
c. \( y-\sqrt{3} x=8 \)
D. \( y+\sqrt{3} x=8 \)
| 2 |
Maths
|
toppr
Q Type your question
An opaque plate with a triangular
aperture, side \( 1 \mathrm{cm} \), is in contact with
the lens. (see Figs.).
Which one of the following diagrams
best shows to appearance of the patch
of light seen on the screen?
\( \mathbf{A} \)
B.
\( \mathbf{c} \)
D.
| 3 |
Physics
|
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