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A cell of e.m.f. \( \varepsilon \) and internal resistance
is used to send current to an external resistance R. The total resistance of
circuit,
A \( \cdot \frac{R r}{(R+r)} \)
в. \( \frac{R+r}{2} \)
\( c \cdot R r \)
D. \( R+r \)
| 3 |
Physics
|
The magnitude of the EMF in a coil depends on
A. flux density passing through it
B. density of material
c. amount of flux leakage
D. rate of change of flux linkages
| 3 |
Physics
|
\( \boldsymbol{C H}_{2}=\boldsymbol{C H}_{2}+\boldsymbol{H I} \stackrel{A l C l_{3}}{\rightarrow} \boldsymbol{A} \stackrel{A q . \boldsymbol{K O H}}{\rightarrow} \)
\( B^{c o n c . H_{2} S O_{4}} C,^{\prime} C^{\prime} i s: \)
A. Ethoxy ethane
B. Ethanol
c. Ethanal
D. Acetone
| 1 |
Chemistry
|
Which of the following species, do not show disproportionation reaction and why?
\( \mathbf{C l O}^{-}, \mathbf{C l O}_{\mathbf{2}}^{-}, \mathbf{C l O}_{\mathbf{3}}^{-} \) and \( \mathbf{C l O}_{\mathbf{4}}^{-} \)
Also, write the reaction for each of the
species that disproportionate.
| 1 |
Chemistry
|
The sides of a triangle with positive area have lengths 5,7 and \( a . \) The sides of a second triangle with positive area
have lengths 5,7 and \( b \) Which of the following is NOT a possible
value of \( |\boldsymbol{a}-\boldsymbol{b}| ? \)
A . 3
B. 5
\( c \cdot 7 \)
D. 10
| 2 |
Maths
|
Differentiate \( \log \left(\cos e^{x}\right) \) w.r.t to \( x \)
| 2 |
Maths
|
An alkane which can exhibit optical activity is:
A. 3-methylhexane
B. 3-methylpentane
c. isopentane
D. neopentane
| 1 |
Chemistry
|
Integrate with respect to \( x \) \( \int \frac{1}{x^{6}\left(1+x^{-5}\right)^{\frac{1}{5}}} d x \)
| 2 |
Maths
|
A circular hole of radius \( \frac{x}{2} \) is cut from a
circular disc of radius \( R \). The disc lies
in the XY-plane and its centre coincides
with the origin. If the remaining mass of
the disc is \( M \) then,
(1)determine the initial mass of the
disc.
(2)determine its moment of inertia
about the z-axis.
| 3 |
Physics
|
Which one of the following is the direct ancestor of modern man?
A. Australopithecus
B. Ramapithecus
c. Homo erectus
D. Homo habilis
| 0 |
Biology
|
An electron moving with a constant velocity \( v \) along \( X \) -axis enters a uniform electric field applied along Y-axis. Then,
the electron moves
A. with uniform acceleration along Y-axis
B. without any acceleration along Y-axis
C \( . \) in a trajectory represented as \( y=a x^{2} \)
D. in a trajectory represented as \( y=a x \)
E. with uniform deceleration along \( \mathrm{x} \) -axis
| 3 |
Physics
|
How are the field lines in a uniform
magnetic field ?
A . curved
B. parallel equidistant straight lines
c. parallel but non-equispaced straight lines
D. nothing can be said.
| 3 |
Physics
|
\( \mathbf{3} N_{2} H_{4}+2 B r O_{3}-3 N_{2}+ \)
\( 2 B r^{-}+6 H_{2} O \)
The above reaction shows:
A. intermolecular redox
B. auto-redox
C. intramolecular redox
D. either of these
| 1 |
Chemistry
|
The most abundant constituent of dry air
in terms of volume is
A. carbon dioxide
B. nitrogen
c. oxygen
D. none of these
| 0 |
Biology
|
Solve the equations using graphical
method: \( x+y=7 \) and \( 2 x-3 y=9 \)
\( A \cdot(6,-1) \)
B. (-6, 1)
\( c \cdot(6,1) \)
D. (-6,-1)
| 2 |
Maths
|
What is the order of magnitude of the distance of a quasar from us if light takes 2.9 billion years to reach us?
A \( \cdot 2.7 \times 10^{25} \mathrm{m} \)
В. \( 10^{25} \mathrm{m} \)
\( \mathbf{c} \cdot 10^{2} 4 m \)
D. \( 3 \times 10^{25} m \)
| 3 |
Physics
|
A card is drawn at random from a pack
of 52 cards. Find the probability that the card drawn is a jack, a queen or a king.
| 2 |
Maths
|
The average energy in one time period in simple harmonic motion is.
A \( \cdot \frac{1}{2} m \omega^{2} A^{2} \)
B \( \cdot \frac{1}{4} m \omega^{2} A^{2} \)
\( \mathrm{c} \cdot m \omega^{2} A^{2} \)
D. zero
| 3 |
Physics
|
If \( f(x) \) is continuous for \( 0 \leq x<\infty \)
then the most suitable values of \( a \) and \( b \)
are
A \( . a=1, b=-1 \)
B. \( a=-1, b=1+\sqrt{2} \)
c. \( a=-1, b=1 \)
D. none of these
| 2 |
Maths
|
In how much time would the simple
interest on a certain sum be 0.3 times
the principal at \( 10 \% \) per annum?
A. 1 year
B. 2 years
c. 3 years
D. 4 years
| 2 |
Maths
|
Capitulum inflorescence is found in
A. Compositae (Asteraceae)
B. Cruciferae (Brassicaceae)
c. Solanaceae
D. Malvaceae
| 0 |
Biology
|
The present population of a town is \( 14000 . \) If it increases at the rate of \( 10 \% \)
per annum, what will be its population
after 4 years?
\( \mathbf{A} \cdot 10497 \)
B . 20497
c. 30497
D. 40497
| 2 |
Maths
|
The electron present in the 5th orbit in an excited hydrogen atom returns back to the ground state. The number of lines
which appear in Lyman series of hydrogen spectrum is:
A . 5
B. 10
\( c \cdot 4 \)
D. 6
| 1 |
Chemistry
|
An electron in a hydrogen atom
undergoes a transition from an orbit
with quantum number \( n_{i} \) to another
with quantum number \( n_{f} . V_{i} \) and \( V_{f} \) are respectively the initial and final potential energies of the electron. If \( \frac{V_{i}}{V_{f}}=6.25, \) then the smallest possible \( \boldsymbol{n}_{f} \) is
| 3 |
Physics
|
Verify Rolle's theorem for the function \( f(x)=\sin x+\cos x-1 \) in the interval
\( \left[0, \frac{\pi}{2}\right. \)
| 2 |
Maths
|
Possibility of occurrence of coal in an area, is determined by study of
A. Microfossils
B. Ecology
c. Economic botany
D. Mining contents
| 1 |
Chemistry
|
If the real-valued function \( f(x)=x^{3}+ \)
\( 3\left(a^{2}-1\right) x+1 \) be invertible then the
set of possible real values of a is
A \( \cdot(-\infty,-1) \cup(1+\infty) \)
в. (-1,1)
c. [-1,1]
D \( \cdot(-\infty,-1] \cup[1,+\infty) \)
| 2 |
Maths
|
Vector equation of line \( \frac{\mathbf{3}-\boldsymbol{x}}{\mathbf{3}}= \)
\( \frac{2 y-3}{5}=\frac{z}{2} \) is \( _{--}-------k \in R \)
A \( \cdot \bar{r}=(3,5,2)+k(3,3,0) \)
B \( \cdot \quad \bar{r}=\left(3, \frac{3}{2}, 0\right)+k(-6,5,4) \)
c. \( \bar{r}=(3,3,0)+k(3,5,2) \)
D \( \cdot_{\bar{r}}=(-6,5,4)+k\left(3, \frac{3}{2}, 0\right) \)
| 2 |
Maths
|
Assertion
Let \( \boldsymbol{f}(\boldsymbol{x})=\sin \boldsymbol{x} \)
Statement I \( \boldsymbol{f} \) is not a polynomial
function
Reason
Statement II \( n \) th derivative of \( f(x), \) w.r.t.
\( x \) is not a zero function for any positive
integer \( n \)
A. Statement I is true,Statement II is also true; Statement II is the correct explanation of Statement
B. Statement I is true,Statement II is also true; Statement II is not the correct explanation of Statement
c. Statement l is true,Statement II is false
D. Statement I is false,Statement II is true
| 2 |
Maths
|
Assertion
Conversion of 1,3 -biphosphoglycerate (BPGA) to 3-phosphoglyceric acid (PGA) is an energy-yielding step.
Reason
This energy is trapped in the form of
ATP.
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
|
A second harmonic has to be generated in a string if length I stretched between two rigid supports. The points where the string has to be plucked and touched are respectively
A \( \cdot \frac{l}{4}, \frac{l}{2} \)
в. \( \frac{l}{4}, \frac{3 l}{4} \)
c. \( \frac{l}{2}, \frac{l}{2} \)
D. \( \frac{l}{2}, \frac{3 l}{4} \)
| 3 |
Physics
|
The poisson's ratio for \( O_{2} \) is \( 1.4 . \) Which
of the following are correct for \( O_{2} ? \)
This question has multiple correct options
A. \( C_{V M}=5 c a l \)
В. \( C_{V}=0.156 \mathrm{cal} \)
\( \mathbf{c} \cdot C_{P}=\frac{R \Upsilon}{\Upsilon-1} \)
D. \( C_{V}=\frac{R}{(\Upsilon-1)} \)
| 3 |
Physics
|
When a running horse suddenly stops, the rider falls
A. forwards
B. backwards
c. to his right
D. to the horse's right
| 3 |
Physics
|
The arithmetic mean of first five natural
numbers is
A . 3
B. 4
c. 5
\( D \)
| 2 |
Maths
|
If \( 25^{x+1}=\frac{125}{5^{x}}: \) then the value of \( x \) is
1
\( \bar{m} \)
Value of \( m \) is
A .2
B. 4
\( c \cdot 3 \)
D. none of the above
| 2 |
Maths
|
The ratio of phase difference and path difference is:
A \( .2 \pi \)
в. \( \frac{2 \pi}{\lambda} \)
c. \( \frac{\lambda}{2 \pi} \)
D.
| 3 |
Physics
|
An object of length \( 6 \mathrm{cm} \) is placed on
the principle axis of a concave mirror of focal length \( f \) at a distance of 4 f. The length of the image will be
A \( .2 \mathrm{cm} \)
в. \( 12 \mathrm{cm} \)
\( \mathrm{c} .4 \mathrm{cm} \)
D. \( 1.2 \mathrm{cm} \)
| 3 |
Physics
|
A balanced chemical equation is in accordance with:
A. Avogadro's Law
B. Law of constant proportion
c. Law of conservation of mass
D. Law of gaseous volumes
| 1 |
Chemistry
|
Who was the first to suggest, "A planet moves most quickly when it is closest to the sun, but slows down as it moves
farther away"?
A. Johannes Kepler
B. Galileo Galilei
c. Tycho Brahe
D. Edwin Hubble
| 3 |
Physics
|
The vector \( \overrightarrow{O A} \) where \( O \) is origin is \( \operatorname{given} \) by \( \overrightarrow{O A}=2 \hat{i}+2 \hat{j} . \) Now it is
rotated by \( 45^{\circ} \) anticlockwise about \( O \)
What will be the new vector?
A \( \cdot 2 \sqrt{2} \hat{j} \)
is \( \sqrt{2} \) is \( \sqrt{2} \)
в. 2 ई
\( c \cdot 2 \hat{\imath} \)
D. \( 2 \sqrt{2} \hat{\imath} \)
| 2 |
Maths
|
Assertion: Formula mass (in grams) of
magnesium chloride has \( 12.044 \times 10^{23} \)
magnesium ions. Reason: One formula
mass of an ionic compound has \( 6.022 \times 10^{23} \) ions of each type.
A. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
B. Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion
c. Assertion is correct but Reason is incorrect
D. Assertion is incorrect but Reason is correct
E. Both assertion and reason are incorrect
| 1 |
Chemistry
|
What is the molarity of \( 11.2 V \) of \( H_{2} O_{2} \)
\( ? \)
\( \mathbf{A} \cdot \mathbf{1} \)
B. 2
\( c .5 .6 \)
D. 11.2
| 1 |
Chemistry
|
Using Rutherford model of the atom,
derive the expression for the total energy of the electron in hydrogen atom What is the significance of total negative energy possessed by the electron?
OR
Using Bohr's postulates of the atomic model derive the expression for radius
of nth electron orbit. Hence obtain the
expression for Bohrs radius.
| 3 |
Physics
|
\( P=\frac{V^{2}}{R} \) is applied when
A. Current is constant
B. Potential difference is constant
c. Resistance is constant
D. None
| 3 |
Physics
|
Match the column in list I with list II.
| 1 |
Chemistry
|
Which of the following statements is/are correct?
I. The formula of cellulose is \( \left(C_{6} H_{10} O_{5}\right) \)
II. The formula of sucrose, maltose and
lactose is \( C_{12} H_{22} O_{11} \)
III.The formula of Glucose, Fructose and
Ribose is \( C_{6} H_{12} O_{6} \)
IV. The formula of Fructose of \( C_{6} H_{12} O_{6} \)
A . all
B. ।, ॥ land IV
c. ॥, ॥ा and ।
D. I, III and IV
| 1 |
Chemistry
|
State whether true or false.
Only a couple can produce pure rotation in a body.
A. True
B. False
| 3 |
Physics
|
Determine \( \Delta H \) for the following
reaction at \( 500 \mathrm{K} \) and constant pressure
\[
\boldsymbol{C O}(\boldsymbol{g})+\boldsymbol{H}_{2} \boldsymbol{O}(\boldsymbol{g}) \rightarrow \boldsymbol{C} \boldsymbol{O}_{2}(\boldsymbol{g})+\boldsymbol{H}_{2}(\boldsymbol{g})
\]
use the following data:
\begin{tabular}{lll}
Substance & \( C_{P}(\mathrm{J} / \) \( \operatorname{mol} \mathrm{K}) \) & \( \Delta_{f} H(298 \mathrm{K})( \) \( \mathrm{kJ} / \mathrm{mol}) \) \\
\hline
\end{tabular}
-110.5 \begin{tabular}{l|l}
со & 29.12 \\
& \\
\( H_{2} O \) & 33.58 \\
& \\
\( \mathrm{CO}_{2} \) & 37.11 \\
\( \mathrm{H}_{2} \) & 29.89
\end{tabular} -241.8
-393.5 0.0
\( \mathbf{A} \cdot \Delta H=-30.3 \mathrm{k} \)
B. \( \Delta H=-50.3 \mathrm{kJ} \)
c. \( \Delta H=-40.3 \mathrm{kJ} \)
D. \( \Delta H=-20.3 \mathrm{kJ} \)
| 1 |
Chemistry
|
Which of the following method is not
used in the preparation of acetylene:
A. Dehydrohalogenation
B. Dehalogenation
c. Hydrolysis
D. Hydrogenation
| 1 |
Chemistry
|
A given unit vector is orthogonal to \( \mathbf{5} \hat{\mathbf{i}}+\mathbf{2} \hat{\mathbf{j}}+\mathbf{6} \hat{\boldsymbol{k}} \) and coplanar with \( \hat{\mathbf{i}}-\hat{\boldsymbol{j}}+ \)
\( \hat{k} \) and \( 2 \hat{i}+\hat{j}+\hat{k} \) then the vector is?
A \( \cdot \frac{3 \hat{j}-\hat{k}}{\sqrt{10}} \)
\( ^{\text {В } \cdot \frac{6 \hat{i}-5 \hat{k}}{\sqrt{61}}} \)
c. \( \frac{2 \hat{i}-5 \hat{k}}{\sqrt{29}} \)
\( \frac{2 \hat{i}+\hat{j}-2 \hat{k}}{3} \)
| 2 |
Maths
|
Figure shows position and velocities of two particles moving under mutual gravitational attraction in space at
time \( t=0 . \) The position of centre of
mass after one second is :
\( \mathbf{A} \cdot x=4 m \)
B . \( x=6 m \)
\( \mathbf{c} \cdot x=8 m \)
D. \( x=10 m \)
| 3 |
Physics
|
The sum of non-real roots of the
polynomial equation \( x^{3}+3 x^{2}+3 x+ \)
\( \mathbf{3}=\mathbf{0}: \)
A . Equal 0
B. Lies between 0 and 1
c. Lies between -1 and 0
D. Has absolute value bigger than 1
| 2 |
Maths
|
State, whether the following statement
is True or False:
Methane was named as firedamp as it
formed an explosive mixture with air.
| 1 |
Chemistry
|
Discovery of the nucleus of an atom was due to the experiment carried out by:
A. Bohr
B. Rutherford
c. moseley
D. Thomson
| 3 |
Physics
|
In a region, uniform electric field exists as \( \overrightarrow{\boldsymbol{E}}=[\mathbf{1 0 \hat { \boldsymbol { i } }}+\mathbf{1 0 \hat { \boldsymbol { j } }}] \boldsymbol{N} / \boldsymbol{C} . \) If the
potential of origin is 0 volts, the potential of point \( (10 m, 10 m, 10 m) \)
| 3 |
Physics
|
Why do only valence electrons involve in
bond formation? Why not electron of inner shells? Explain.
| 1 |
Chemistry
|
In general, the properties that decrease and increase down a group in the periodic table, respectively, are:
A. electronegativity and electron gain enthalpy.
B. electronegativity and atomic radius
c. atomic radius and electronegativity
D. electron gain enthalpy and electronegativity
| 1 |
Chemistry
|
For the same signal emitted by a radio antenna, Observer A measures its
intensity to be 16 times the intensity measured by Observer B. The distance of Observer A from the radio antenna is
what fraction of the distance of
Observer B from the radio antenna?
A \( \cdot \frac{1}{4} \)
B. \( \frac{1}{16} \)
c. \( \frac{1}{64} \)
D. \( \frac{1}{256} \)
| 2 |
Maths
|
Two cells of same emf \( E \) but different
internal resistances \( r_{1} \) and \( r_{2} \) are
connected in series with an external
resistance \( R \). The potential drop across
the first cell is zero. Then \( \boldsymbol{R} \) is
A \( \cdot r_{1}+r_{2} \)
В. \( r_{1}-r_{2} \)
c. \( r_{2}-r_{1} \)
D. \( r_{1} r_{2} \)
| 3 |
Physics
|
A current-carrying wire in a magnetic field is subjected to a magnetic force. If the current in the wire is quadrupled. Find out the change in magnetic force acting on the wire?
A. It is quartered
B. It is halved
c. It is unchanged
D. It is doubled
E. It is quadrupled
| 3 |
Physics
|
If \( E_{1}^{o}, E_{2}^{o} \) and \( E_{3}^{o} \) are standard oxidation potentials for \( \boldsymbol{F e}\left|\boldsymbol{F} \boldsymbol{e}^{2+}, \boldsymbol{F} \boldsymbol{e}^{2+}\right| \boldsymbol{F} \boldsymbol{e}^{3+} \) and
\( \boldsymbol{F} e \mid \boldsymbol{F} e^{3+}, \) then \( \boldsymbol{E}_{3}^{o}=\frac{\boldsymbol{E}_{2}^{o}+\boldsymbol{2} \boldsymbol{E}_{1}^{o}}{\boldsymbol{n}} . \) The
value of \( n \) is:
| 1 |
Chemistry
|
Focal length of the plano-convex lens is
\( 15 \mathrm{cm} . \) A small object is placed at \( A \) as
shown in the figure. The plane surface is silvered. The image will form at
A. \( 60 \mathrm{cm} \) to the left of lens
B. \( 12 c m \) to the left of lens
\( \mathrm{c} .60 \mathrm{cm} \) to the right of lens
D. \( 30 c m \) to the left of lens
| 3 |
Physics
|
The ratio of maximum and minimum intensities in an interference pattern is
\( 36: 1 . \) The ratio of the amplitudes of the two interfering waves will be
A . 5: 7
B. 7:4
\( c \cdot 4: 7 \)
D. 7:5
| 3 |
Physics
|
The exact mathematical expression of Raoult's law is:
\( ^{\text {A }} \cdot \frac{P_{0}-P_{s}}{P_{0}}=\frac{n}{N} \)
в. \( \frac{P_{0}-P_{s}}{P_{0}}=\frac{N}{n} \)
c. \( \frac{P_{0}-P_{s}}{P_{s}}=\frac{n}{N} \)
D. \( \frac{P_{0}-P_{s}}{P_{0}}=n \times N \)
| 1 |
Chemistry
|
toppr \( E \)
\( Q \) тур
Note: the rate-flow vectors are not drawn
to scale. Identify the case(es) in which the
effective current through the conductor is the highest.
\( \mathbf{A} \)
\[
\begin{array}{l}
\odot 5 \mathrm{c} / \mathrm{s} \\
5 \mathrm{c} / \mathrm{s} \longleftrightarrow
\end{array}
\]
в.
\[
\Leftrightarrow 9 \mathrm{c} / \mathrm{s}
\]
\[
1 \mathrm{c} / \mathrm{s} \longleftrightarrow
\]
\( c \)
\[
\begin{array}{l}
\Leftrightarrow 7 \mathrm{c} / \mathrm{s} \\
3 \mathrm{c} / \mathrm{s} \longleftrightarrow(\oplus)
\end{array}
\]
D
\[
\Leftrightarrow 1 \mathrm{C} /
\]
\[
\text { 9 C/s } \longleftarrow
\]
| 3 |
Physics
|
Find \( k, \) so that \( (k-12) x^{2}+2(k- \)
12) \( x+2=0 \) has equal roots, where
\( k \neq 12 \)
\( \mathbf{A} \cdot k=4 \)
B. \( k=12 \)
c. \( k=14 \)
D. none of these
| 2 |
Maths
|
The compound that inhibits the growth
of tumors is:
A \( \cdot \operatorname{cis}-\left[P d(C l)_{2}\left(N H_{3}\right)_{2}\right. \)
B . \( \operatorname{cis}-\left[P t(C l)_{2}\left(N H_{3}\right)_{2}\right] \)
c. \( \operatorname{trans}-\left[P t(C l)_{2}\left(N H_{3}\right)_{2}\right] \)
D. \( \operatorname{trans}-\left[P d(C l)_{2}\left(N H_{3}\right)_{2}\right] \)
| 1 |
Chemistry
|
Draw a triangle \( A B C \) in which \( A B=4.5 \)
\( \mathrm{cm}, \mathrm{BC}=6 \mathrm{cm} \) and \( \angle B=80^{\circ} \)
| 2 |
Maths
|
In the above reaction, the major proauct
is:
\( A \)
B.
\( c \)
D.
| 1 |
Chemistry
|
Calculate the resistance between
points \( X \) and \( Y \) in the circuit shown in the figure.
| 3 |
Physics
|
The species which is not tetrahedral in
structure :
A \( \cdot I C l_{4}^{-} \)
B. \( B I_{4}^{-} \)
c. \( A l H_{4}^{-} \)
D. \( N F_{4}^{+} \)
| 1 |
Chemistry
|
If a is any real number, the number of
roots of \( \cot x-\tan x=a \) in the first
quardrant is
A . 2
B. 0
c. 1
D. 4
| 2 |
Maths
|
ff \( \boldsymbol{f}: \boldsymbol{R} \rightarrow \boldsymbol{R} \) is given by \( \boldsymbol{f}(\boldsymbol{x})=(\boldsymbol{3}- \)
\( \left.\boldsymbol{x}^{3}\right)^{1 / 3}, \) find \( \boldsymbol{f} \boldsymbol{o} \boldsymbol{f}(\boldsymbol{x}) \)
| 2 |
Maths
|
\( R-C H_{2}-C H_{2} O H \) can be converted
to \( \boldsymbol{R}-\boldsymbol{C} \boldsymbol{H}_{2} \boldsymbol{C H}_{2} \boldsymbol{C O O H} . \) The correct
sequence of reagents is:
A \( \cdot P B r_{3}, K C N, H_{3} O^{+} \)
в. \( P B r_{3}, K C N, H_{2} \)
c. \( K C N, H^{+} \)
D. \( H C N, P B r_{3}, H^{+} \)
| 1 |
Chemistry
|
Why the blood that flows from the lungs
to the heart appears bright red rather
than dark red?
A. Oxygen makes it red.
B. Carbon dioxide makes it red.
c. Gastric juices produce the red color of blood.
D. The lungs add a pigment to the blood as it flows through them
| 0 |
Biology
|
A hemispherical bowl of internal radius \( 9 \mathrm{cm} \) is full of liquid. The liquid is to be filled into cylindrical shaped bottles each of radius \( 1.5 \mathrm{cm} \) and height \( 4 \mathrm{cm} \)
How many bottles are needed to empty
the bowl?
| 2 |
Maths
|
A wire elongates by \( l \) mm when a load
\( W \) is hanged from it. If the wire goes over a pulley and two weights \( W \) each are hung at the two ends, the elongation of the wire will be (in \( m m \) ):
A . 1
в. 2
c. zero
D. \( l / 2 \)
| 3 |
Physics
|
Find the value \( k \). for which the point \( (-1, \)
3) lies on the graph of the equation \( 2 x- \) \( y+k=0 \)
| 2 |
Maths
|
Determine the number of sides of a
polygon whose exterior and interior angles are in the ratio 1: 5
| 2 |
Maths
|
Respiratory disease associated with excess histamine is
A. Bronchitis
B. Emphysema
c. Asthma
D. All of the above
| 0 |
Biology
|
The minimum angular momentum that can be possessed by an electron in a hydrogen atom is:
A \( \cdot 2 \times 10^{-34} \operatorname{kg} m^{2} s^{-1} \)
B. \( 1 \times 10^{-34} \mathrm{gm}^{2} \mathrm{s}^{-1} \)
C . \( 1 \times 10^{-34} \mathrm{kgm}^{2} \mathrm{s}^{-1} \)
D. none of these
| 1 |
Chemistry
|
If \( x^{3}+y^{3}=3 a x y, \) find \( \frac{d y}{d x} \)
| 2 |
Maths
|
The hormone ADH is released from the
A. Adenohypophysis
B. Neurohypophysis
c. Adrenal gland
D. None of the above
| 0 |
Biology
|
Show that the plane whose vector equation is \( \vec{r} .(\hat{i}+2 \hat{j}-\hat{k})=3 \) contains the line \( \vec{r}=\hat{i}+\hat{j}+\lambda(2 \hat{i}+\hat{j}+4 \hat{k}) \)
| 2 |
Maths
|
\( A \) is known to tell the truth in 5 cases
out of 6 and he states that a white ball
was drawn from a bag containing 8
black and 1 white ball. The probability that the white ball was drawn, is
A \( \cdot \frac{7}{13} \)
B. \( \frac{5}{13} \)
\( c \cdot \frac{9}{13} \)
D. None of these
| 2 |
Maths
|
There is a hole to the wall at the bottom
of a vessel filled with water to a height 10 \( c m . \) Water flows out completely in
5 sec. If the height of the water column above the hole is increased to \( 160 \mathrm{cm} \)
the total time taken for water flow is
A \( .2 .5 \mathrm{sec} \)
B. 5 sec
c. 10 sec
D. 20 sec
| 3 |
Physics
|
Fuse wire is a
A. tin-lead alloy
B. copper-lead alloy
C. tin-copper alloy
D. silver-lead alloy
| 3 |
Physics
|
Let \( A \) and \( B \) be two finite sets having \( m \)
and \( n \) elements respectively. Then the
total number of mapping from \( \boldsymbol{A} \) to \( \boldsymbol{B} \) is:
A . \( m n \)
B. \( 2^{\text {mn }} \)
\( \mathrm{c} \cdot m^{n} \)
D. \( n^{\text {m }} \)
| 2 |
Maths
|
A calorimeter of water equivalent 5 g has water of mass 55 g upto a certain level. Another identical calorimeter has
a liquid of mass 38 g up to same level. As both of them cool in the same
surroundings from \( 50^{\circ} \mathrm{C} \) to \( 46^{\circ} \mathrm{C}, \) water takes 80 s whereas the liquid takes 32 s
to cool. If the specific heat of water is 1
cal/g-o \( C \), the specific heat of the liquid in cal/g-o \( C \) is :
A . 0.8
B. 0.4
\( c \cdot 0.5 \)
D. 0.2
| 3 |
Physics
|
The acid which gives only primary phosphites and secondary phosphites is :
\( A \cdot H_{3} P O_{3} \)
в. \( \mathrm{H}_{3} \mathrm{PO}_{4} \)
\( \mathrm{c} \cdot \mathrm{HPO}_{3} \)
D. \( \mathrm{H}_{3} \mathrm{PO}_{5} \)
| 1 |
Chemistry
|
One of the causes of water pollution is that the farmers use excessive:
A. manure and water
B. fertilizers and pesticides
c. fertilizers and seeds
D. pesticides and seeds
| 0 |
Biology
|
The specific conductance of a solution is \( 0.3568(o h m)^{-1} \mathrm{cm}^{-1} \mathrm{When} \) placed in a cell
the conductance is 0.0268 oh \( m^{-1} \)
The cell constant is:
A \( \cdot 1.331 \mathrm{cm}^{-1} \)
B. \( 13.31 c m^{-1} \)
\( \mathbf{c} \cdot 0665 \mathrm{cm}^{-1} \)
D. \( 6.65 \mathrm{cm}^{-1} \)
| 1 |
Chemistry
|
In the figure. \( A C=24 \mathrm{cm}, B C=10 \)
and \( O \) is the
centre of the circle. Find the area of
shaded region
| 2 |
Maths
|
The longest loop of Henle is found in
A. Kangaroo ratt
B. Opposum
c. Rhesus monkey
D. Porcupine
| 0 |
Biology
|
\( l=m=n=1 \) represents the direction
cosines of
A. \( x \) -axis
B. \( y \) -axis
c. \( z \) -axis
D. none of these
| 2 |
Maths
|
The figure given shows the
displacement-time curve of two
particles \( P \) and \( Q . \) Which of the following
statements is correct?
A. Both \( P \) and \( Q \) move with uniform equal speed
B. \( P \) is accelerated \( Q \) is retarded
C. Both P and Q move with uniform speeds but the speed of \( P \) is more than the speed of \( Q \)
D. Both P and Q move with uniform speeds but the speed of \( Q \) is more than the speed of \( P \)
| 3 |
Physics
|
Evaluate: \( \int \frac{\cos x-\sin x}{1+\sin 2 x} d x \)
A \( \cdot \frac{1}{\sin x+\cos x}+C \)
в. \( -\frac{1}{\sin x+\cos x}+C \)
c. \( \frac{2}{\sin 2 x+\cos x}+C \)
D. \( -\frac{2}{\sin 2 x+\cos x}+C \)
| 2 |
Maths
|
Which of the following isomerisms is are shown by the complex.
\( \left[\operatorname{CoCl}_{2}\left(O H_{2}\right)_{2}\left(N H_{3}\right)_{2}\right] B r ? \)
A. Ionization
B. Linkage
c. Geometrical
D. optical
| 1 |
Chemistry
|
Consider the isoelectronic species,
\( N a^{+}, M g^{2+}, F^{-} \) and \( O^{2-} . \) The correct
order of increasing length of their radii is:
A \( \cdot F^{-}<O^{2-}<M g^{2+}<N a^{+} \)
B. \( M g^{2+}<N a^{+}<F^{-}<O^{2} \)
C. \( O^{2-}<F^{-}<N a^{+}<M g^{2+} \)
D. \( O^{2-}<F^{-}<M g^{2+}<N a^{+} \)
| 1 |
Chemistry
|
Which of the following sequences of taxa and the animal kingdom is
correct?
A. Kingdom, Phylum, Class, Order, Family, Species and Genus
B. Kingdom, Phylum, Class, Order, Family, Genus and Species
C. Kingdom, Phylum, Class, Family, Order, Species and Genus
D. Phylum, Kingdom, Class, Family, Order, Genus and Species
| 0 |
Biology
|
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