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The process of mineralisation by microorganisms helps in the release of
A. Inorganic nutrients from humus
B. Both organic and inorganic nutrients from detritus
c. organic nutrients from humus
D. Inorganic nutrients from detritus and formation of humus
| 0 |
Biology
|
Find the area of the regular hexagon
PQRST in which each side measures
\( 17 \mathrm{m} \) and its height is \( 33 \mathrm{m} \)
| 2 |
Maths
|
Solve the following equations. \( \sin ^{-1} \frac{5}{x}+\sin ^{-1} \frac{x}{2}=\frac{\pi}{2} \)
| 2 |
Maths
|
A metal rod moves at a constant
velocity in a direction perpendicular to its length. A constant uniform magnetic
field exists in space in a direction perpendicular to the rod as well its
velocity. Select correct statements from the following
A. the entire rod is at the same potential
B. there is an electric field in the rod
c. the electric potential is highest at the centre
D. the electric potential is lowest at its centre and increases towards its ends
| 3 |
Physics
|
If a non-degradable and fat soluble pollutant, such as DDT enters the food
chain, the pollutant
A. Magnifies in concentraition at each tropic level
B. Degrades at first trophic level
c. Accumulates in the body fat of organism at first trophic level and does not pass to second trophic level
D. Decreases inconcentration at each trophic level
| 0 |
Biology
|
The constant speed with which the wire
slides after applying the external force
must be
\( 4.16 \mathrm{ms} \)
В. \( 8 m s^{\text {- }} \)
\( c \cdot 24 m s^{-} \)
. 32
2
| 3 |
Physics
|
The energy required to melt 1 g ice is \( 33 J . \) The number of quanta of radiation
of frequency \( 4.67 \times 10^{13} \) sec \( ^{-1} \) that
must be absorbed to melt \( 10 \mathrm{g} \) ice is:
A \( \cdot 1.065 \times 10^{22} \)
B. \( 3.205 \times 10^{23} \)
c. \( 9.076 \times 10^{20} \)
D. none of the above
| 1 |
Chemistry
|
A spring mass system oscillates with a
time period \( T_{1} \) when a certain mass is
attached to the spring. When a different mass is attached after removing the
first mass the time period becomes \( T_{2} \)
When both the masses are attached to
the free end of the spring with the other end fixed, the time period of oscillation is :
\( \mathbf{A} \cdot \sqrt{T_{1} T_{2}} \)
в. \( T_{1}+T_{2} \)
c. \( \frac{T_{1}+T_{2}}{2} \)
D. \( \sqrt{T_{1}^{2}+T_{2}^{2}} \)
| 3 |
Physics
|
What is the magnetomotive force \( (m m f) \) of a wire with 8 turns carrying three amperes of current?
A. 2,400 At
B. 240 At
\( c \cdot 24 \mathrm{At} \)
D. 2.4 At
| 3 |
Physics
|
A piece of thread folded 6 times is placed along a \( 15 \mathrm{cm} \) long measuring scale as shown in the figure. The length of the thread is between
A. \( 0.15-0.50 \mathrm{m} \)
B. \( 0.50 \mathrm{m}-1.0 \mathrm{m} \)
c. \( 1.0 \mathrm{m}-1.5 \mathrm{m} \)
D. \( 1.5 \mathrm{m}-2.0 \mathrm{m} \)
| 3 |
Physics
|
If the roots of the equation \( \frac{\alpha}{x-\alpha}+ \) \( \frac{\beta}{\boldsymbol{x}-\beta}=1 \) be equal in magnitude but
opposite in \( \operatorname{sign}, \) then \( \alpha+\beta \) is equal to:
A.
B. 1
\( c \cdot 2 \)
D.
| 2 |
Maths
|
Distance of \( 5^{t h} \) dark fringe from centres
is 4 mm. If \( D=2 m, \lambda=600 n m, \) then
distance between slits is
A. \( 1.35 \mathrm{mm} \)
B . \( 2.00 \mathrm{mm} \)
c. \( 3.25 \mathrm{mm} \)
D. \( 10.35 \mathrm{mm} \)
| 3 |
Physics
|
Show that the function \( \boldsymbol{f}(\boldsymbol{x})= \)
\( \left[\cos \left(x^{10}+1\right)\right]^{1 / 3}, x \in R \) is a continuous
function.
| 2 |
Maths
|
A solution that is at equilibrium and contains the maximum amount of
solute for a given amount of solvent at constant temperature and pressure. What type of solution is it?
A. Miscible
B. Suspension
c. colloid
D. Saturated
| 1 |
Chemistry
|
Which of the following is not an actinoid
\( ? \)
\( A \cdot A m \)
B. \( \mathrm{cm} \)
\( c . F m \)
D. Tm
| 1 |
Chemistry
|
\( \frac{\frac{\sqrt{1}}{12}}{\frac{11}{12}} \)
| 1 |
Chemistry
|
The coal tar fraction which contains
phenol is:
\( A . \) middle oil
B. green oil
c. heavy oil
D. light oil
| 1 |
Chemistry
|
Assertion
A rectangular current loop is in an arbitrary orientation in an external
uniform magnetic field. No work is
required to rotate the loop about an axis
perpendicular to its plane.
Reason
All positions represent the same level of
energy.
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
| 3 |
Physics
|
Bile secretion is proportional to the concentration of
A. Protein
B. Fatt
c. carbohydrate
D. None of the above
| 0 |
Biology
|
Sum of \( n \) terms of \( A \) is \( n^{2}+2 n . \) Find
the first term and common difference
| 2 |
Maths
|
\( \boldsymbol{C a}+\boldsymbol{C}_{2} \rightarrow \boldsymbol{C a} \boldsymbol{C}_{2} \stackrel{N_{2}}{\longrightarrow} \boldsymbol{A} \)
Compound \( (A) \) is used as a / an :
A. fertilizer
B. dehydrating agent
c. oxidising agent
D. reducing agent
| 1 |
Chemistry
|
The electric field outside the plates of
two oppositely charged plane sheets of charge density \( \sigma \) is :
A \( \cdot+\frac{\sigma}{2 \varepsilon_{0}} \)
В. \( -\frac{\sigma}{2 \varepsilon_{0}} \)
c. zero
D. \( \frac{\sigma}{\varepsilon_{0}} \)
| 3 |
Physics
|
Suppose that \( f(n+1)=\frac{2 f(n)+1}{2} \) for \( \boldsymbol{n}=\mathbf{1}, \mathbf{2}, \mathbf{3}, \ldots \) and \( (\mathbf{1})=\mathbf{2} \) Then \( \boldsymbol{f}(\mathbf{1 0 1}) \)
equals
A . 50
B. 52
c. 54
D. none of these
| 2 |
Maths
|
For which order reaction, the unit of rate
constant is \( \operatorname{tim} e^{-1} ? \)
A. Zero order
B. First order
c. Second order
D. Third order
| 1 |
Chemistry
|
Find the average of \( \frac{2}{3}, \frac{1}{5} \)
| 2 |
Maths
|
A baby boy aged two years is admitted to play school and passes through a dental check-up. The dentist observed that the boy had twenty teeth. Which teeth were absent?
A. Molars
B. Incisors
c. canines
D. Pre-molars
| 0 |
Biology
|
Expand to 4 terms the following expressions:
\( (1+x)^{\frac{2}{5}} \)
| 2 |
Maths
|
Non vascular land plants are called as
A. Bryophtyes
B. Pteridophytes
c. Fungi
D. Algae
| 0 |
Biology
|
The distances of the point \( \boldsymbol{P}(\mathbf{1}, \mathbf{2}, \mathbf{3}) \)
from the coordinates axes are:
A \( \cdot \sqrt{13}, \sqrt{10}, \sqrt{5} \)
в. \( \sqrt{11}, \sqrt{10}, \sqrt{5} \)
c. \( \sqrt{13}, \sqrt{20}, \sqrt{15} \)
D. \( \sqrt{23}, \sqrt{10}, \sqrt{5} \)
| 2 |
Maths
|
In a wind mill the electric energy is converted into mechanical energy.
A. True
B. False
c. Ambiguous
D. Data insufficient
| 3 |
Physics
|
Which of the two switches \( S_{1} \) and \( S_{2} \)
shown in figure will produce short-
circuiting?
\( A \cdot S_{1} \)
B. \( S_{2} \)
c. Both \( S_{1} \) and \( S_{2} \)
D. Neither \( S_{1} \) nor \( S_{2} \)
| 3 |
Physics
|
A particle having mass 1 g and electric
charge \( 10^{-8} \mathrm{C} \) travels from a point \( \mathrm{A} \)
having electric potential \( 600 \mathrm{V} \) to the point B having zero potential. What would be the change in its kinetic
energy?
A . \( -6 \times 10^{-6} \) erg
В. \( -6 \times 10^{-6} \) j
c. \( 6 \times 10^{-6} \) j
D. \( 6 \times 10^{-6} \) erg
| 3 |
Physics
|
Write a short note on gangue and anode
mud.
| 1 |
Chemistry
|
Fill in the blank.
The heat generated in calorie is equal to
A. \( V I t \)
B. \( (V I t) / 4.2 \)
C \( \cdot\left(V^{2} R t\right) / 4.2 \)
D. \( V I^{2} t \)
| 3 |
Physics
|
Diffusion current in a p-njunction is greater than the drift current in
magnitude
A. if the junction is forward-biased
B. if the junction is reverse-biased
c. if the junction is unbiased
D. in no case
| 3 |
Physics
|
Draw the structure which shows
synergic bonding interaction in a carbonyl complex?
| 1 |
Chemistry
|
If the density of earth increases by \( 20 \% \) and radius decreases by \( 20 \% \) then the new value of "g" on the surface of earth will be:
A. \( 0.8 \mathrm{g} \)
B. \( 0.90 \mathrm{g} \)
c. \( 0.96 \mathrm{g} \)
D.
| 3 |
Physics
|
Two person each of mass \( m \$ \) are
standing at the two extremes of a
railroad car of mass left \( M \) resting on a
smooth track. The person on the left
jumps to with a velocity \( u \). Find the velocity of the train when both the person have jumped off.
A \( \cdot \frac{m^{2} u}{m(m+M)} \) towards left
B. \( \frac{m^{2} u}{M(m+M)} \) towards left
c. \( \frac{m^{2} u}{M(m+M)} \) towards right
D. \( \frac{m^{2} u}{m(m+M)} \) towards right
| 3 |
Physics
|
Four charges \( +\boldsymbol{Q},-\boldsymbol{Q},+\boldsymbol{Q} \) and \( -\boldsymbol{Q} \) are
situated at the corners of a square; in a
sequence then at the centre of the
square:
A. \( E=0, V=0 \)
в. \( E=0, V \neq 0 \)
c. \( E \neq 0, V=0 \)
D. \( E \neq 0, V \neq 0 \)
| 3 |
Physics
|
If \( \boldsymbol{y}=\boldsymbol{a} e^{4 x}+\boldsymbol{b} e^{5 x}, \) then prove \( \boldsymbol{y}_{2}- \)
\( \mathbf{9} \boldsymbol{y}_{1}+\mathbf{2 0} \boldsymbol{y}=\mathbf{0} \)
| 2 |
Maths
|
Two thin wire rings each having a radius R are placed at a distance d apart with their axes coinciding. The charges on the two rings are \( +q \) and \( -q \) The potential difference between the centres of the two rings is -
A \( . Q R / 4 \pi \varepsilon 0 d^{2} \)
B. \( \frac{Q}{2 \pi_{c \theta}}\left[\frac{1}{R}-\frac{1}{\sqrt{R^{2}+\alpha^{2}}}\right. \)
c. zero
D. \( \frac{Q}{4 \pi \varepsilon_{0}}\left[\frac{1}{R}-\frac{1}{\sqrt{R^{2}+\bar{d}^{2}}}\right] \)
| 3 |
Physics
|
Examine whether the given function \( f(x) \) is continuous at \( x=3 \)
\[
\begin{array}{c}
\boldsymbol{f}(\boldsymbol{x})= \\
\frac{\boldsymbol{x}^{4}-\boldsymbol{8} \boldsymbol{x}}{\sqrt{\boldsymbol{x}^{2}+\mathbf{5}}-\mathbf{3}}, \quad \text { for } \quad \boldsymbol{x} \neq \boldsymbol{3} \\
\boldsymbol{3} \quad \text { for } \quad \boldsymbol{x}=\mathbf{3}
\end{array}
\]
\[
\boldsymbol{f}(\boldsymbol{x})=\mathbf{3}
\]
| 2 |
Maths
|
The equilibrium constant has no unit if \( \Delta n=\dots \dots \dots \dots \dots \)
| 1 |
Chemistry
|
1
| 0 |
Biology
|
If an ecosystem is composed of only three trophic levels, then how much
energy will be conserved at the III \( ^{r d} \)
trophic level?
A . 30\%
B. 20\%
c. \( 10 \% \)
D. 1\%
| 0 |
Biology
|
An incandescent lamp is operated at
\( 240 V \) and the current is \( 0.5 A . \) What is
the resistance of the lamp?
| 3 |
Physics
|
What is pseudocoelom? Where is it located?
| 0 |
Biology
|
Solve the following Linear programming problems graphically:
Maximize \( z=3 x+4 y \) subject to the
constraints \( : \boldsymbol{x}+\boldsymbol{y} \leq \mathbf{4}, \boldsymbol{x} \geq \mathbf{0}, \boldsymbol{y} \geq \mathbf{0} \)
| 2 |
Maths
|
\( \frac{\pi}{k} \)
| 3 |
Physics
|
Let \( E_{1}, E_{2}, E_{3} \dots E_{N} \) be the 'n' exhaustive
events in a random experiment then
\( \boldsymbol{p}\left(\boldsymbol{E}_{1}\right) \boldsymbol{p}\left(, \boldsymbol{E}_{2}\right), \boldsymbol{p}\left(\boldsymbol{E}_{3}\right) \ldots \boldsymbol{p}\left(\boldsymbol{E}_{N}\right) \) is
A. less than
B. equal to
c. greater than 1
D. none
| 2 |
Maths
|
Verify Lagrange's Mean Value Theorem for the following function:
\( \boldsymbol{f}(\boldsymbol{x})=2 \sin \boldsymbol{x}+\sin 2 \boldsymbol{x} \) on \( [\mathbf{0}, \boldsymbol{\pi}] \)
| 2 |
Maths
|
The incident photon involved in the photo-electric effect experiment
\( \nu>\nu_{o} \)
A. Completely disappears
B. Comes out with increased frequency
c. comes out with a decreased frequency
D. Comes out with out change in frequency
| 3 |
Physics
|
The value of \( \lim _{x \rightarrow 2} \frac{\sqrt{1+\sqrt{2+x}}-\sqrt{3}}{x-2} \) is
\( A \cdot \frac{1}{8 \sqrt{3}} \)
в. \( \frac{1}{4 \sqrt{3}} \)
c. 0
D. None of these
| 2 |
Maths
|
The intercept made by the plane \( \vec{r} \cdot \vec{n}= \) \( q \) on the \( x \) -axis is
A \( \cdot \frac{q}{\hat{i} \cdot \vec{n}} \)
в. \( \frac{\hat{i} \cdot \vec{n}}{q} \)
\( c \cdot \frac{\hat{i} \cdot q}{n} \)
D. \( \frac{q}{|\vec{n}|} \)
| 2 |
Maths
|
Which of the following atoms does the electron configuration \( 1 s^{2} 2 s^{2} 2 p^{6} 3 s^{2} 3 p^{6} 3 d^{2} \) represent?
A. An excited state \( C a \) atom
B. A ground state \( C a \) atom
c. An excited state \( S c \) atom
D. An excited state \( K \) atom
| 1 |
Chemistry
|
The triangle formed by the lines \( x- \)
\( 7 y+12=0,7 x+y-16=0 \) and
\( \mathbf{3} \boldsymbol{x}+\mathbf{4} \boldsymbol{y}=\mathbf{0} \) is right-angled triangle
A. True
B. False
| 2 |
Maths
|
Enumerate the salient features of
bryophytes.
| 0 |
Biology
|
Show that sequence of following \( n^{t h} \)
terms, are not in A.P. \( \frac{n}{n+1} \)
| 2 |
Maths
|
One of the following is an exception to the 'cell theory'.
A. Bacteria
B. Fungi
c. virus
D. Lichens
| 0 |
Biology
|
Identify the following substances which are underlined:
A dilute mineral acid which forms a
white precipitate when treated with barium chloride solution.
| 1 |
Chemistry
|
If \( A, B \) and \( C \) are three events, then
This question has multiple correct options
A \( . P(\text { exactly two of } A, B, C \text { occur }) \leq P(A \cap B)+P(B \cap \)
\( C)+P(C \cap A) \)
B \( . P(A \cup B \cup C) \leq P(A)+P(B)+P(C) \)
C. \( P(\text { exactly one of } A, B, C \text { occur }) \leq P(A)+P(B)+ \)
\( P(C)-P(B \cap C)-P(C \cap A)-P(A \cap B) \)
D. \( P(A \text { and at least one of } B, C \text { occurs }) \leq P(A \cap B)+ \)
\( P(A \cap C) \)
| 2 |
Maths
|
In birds, males carry two identical sex chromosomes \( (\mathrm{ZZ}) \) and females carry two different sex chromosomes \( (\mathrm{ZW}) . \) A
gene in parakeets called cinnamon is
sex-linked recessive on the \( z \)
chromosome.
If a cinnamon male is crossed with a
normal female, what percentage of the offspring will be cinnamon?
A. All of the males only
B. All of the females only
c. All of the offspring
D. None of the offspring
| 0 |
Biology
|
With of the following statements about
Euglena is correct?
A. Euglena is a flagellate organism.
B. Euglena when placed in continuous darkness, loses its photosynthetic activity and dies.
C. The pigments of Eugene are quite different from those of green plants.
D. Euglena is a marine protist.
| 0 |
Biology
|
For some constants \( a \) and \( b \) find the
derivative of
\( \left(a x^{2}+b\right)^{2} \)
| 2 |
Maths
|
\( 100 \mathrm{ml} \mathrm{CuSO}_{4} \) (aq) was electrolyzed using inert electrodes by passing 0.965 A till the \( p H \) of the resulting solution was \( 1 . \) The solution after electrolysis was
neutralized, treated with excess \( K I \)
and titrated with \( 0.04 \mathrm{M} N a_{2} S_{2} O_{3} \)
Volume of \( N a_{2} S_{2} O_{3} \) required was 35
ml. Assume no volume change
during electrolysis. If the initial
concentration \( (\mathrm{M}) \) of \( \mathrm{CuSO}_{4} \) was \( 64 \times \)
\( 10^{-x}, \) then what is the value of \( x ? \)
| 1 |
Chemistry
|
Complete the following equation:
\( \boldsymbol{C l}_{2}+\boldsymbol{H}_{2} \boldsymbol{O} \rightarrow \)
A. \( H C l+H C l O \)
в. \( H C l+O_{2} \)
c. \( H C l O+O_{2} \)
D. None of the above
| 1 |
Chemistry
|
Which of the following triads does not follow Dobereiner's law of triads?
A. \( \mathrm{Li}, \mathrm{Na}, \mathrm{K} \)
B. Ca, Sr, Ba
c. вe, мg, са
D. Cu, Ag, Au
| 1 |
Chemistry
|
Which of the following is an random
experiment?
This question has multiple correct options
A. Rolling a pair of dice
B. Choosing 2 marbles from a jar
C. Choosing a number at random from 1 to 10
D. Tossing two coins
| 2 |
Maths
|
The ratio in which the line joining points (2,4,5) and (3,5,-4) divide YZ -plane is
\( \mathbf{A} \cdot-2: 3 \)
B. 2: 3
c. -3: 2
D. 3: 2
| 2 |
Maths
|
f \( l= \)
\( \lim _{n \rightarrow \infty} \sum_{r=2}^{n}\left((r+1) \sin \frac{\pi}{r+1}-r \sin \frac{\pi}{r}\right) \)
then find \( \{l\} . \) (where \{\} denotes the
fractional part function
| 2 |
Maths
|
Assertion
Ultrasonic waves are longitudinal waves of frequency grater than \( 20,000 H z \)
Reason
The maximum frequency of audible sound waves is \( 20,000 H z \)
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
|
Divides and write the quotient and the remainder.
\( \left(6 x^{5}-4 x^{4}+8 x^{3}+2 x^{2}\right) \div 2 x^{2} \)
| 2 |
Maths
|
In human being, secondary constrictions II are found on
A. \( x \) chromosome
B. Y chromosome
c. \( 13,14,15,21, \) 22 chromosome
D. 1,10,13,16 and \( Y \) chromosome
| 0 |
Biology
|
Which of the following is not malleable?
A. Sulphur
B. Selenium
c. Phosphorus
D. All of the above
| 1 |
Chemistry
|
If \( R s .64 \) amounts to Rs. 83.20 in 2 years
what will Rs.86 amount to in 4 years at
the same rate percent per annum?
\( A \cdot \) Rs 137.60
B. Rs 124.70
c. Rs 114.80
D. Rs 127.40
| 2 |
Maths
|
A plano-convex lens, when silvered at its plane surface is equivalent to a concave mirror of focal length \( 28 \mathrm{cm} \). When its
curved surface is silvered and the plane
surface is not silvered, it is equivalent
to a concave mirror of focal length 10 \( \mathrm{cm}, \) then the refractive index of the
material of the lens is:
\( \mathbf{A} \cdot \frac{9}{14} \)
B. \( \frac{14}{9} \)
c. \( \frac{17}{9} \)
D. None of these
| 3 |
Physics
|
In a Newton's Ring experiment, the diameter of the \( 20^{t h} \) dark ring was
found to be 5.82 mm and that the \( 10 t h \)
ring 3.36 mm. If the radius of the
planoconvex lens is \( 1 m, \) calculate the wavelength of light used
| 3 |
Physics
|
Prove that \( \frac{\tan \mathbf{A}}{\mathbf{1 + \operatorname { s e c } A}}-\frac{\tan A}{\mathbf{1 - \operatorname { s e c } A}}= \)
\( 2 \operatorname{cosec} A \)
| 2 |
Maths
|
What will be the ratio of \( C l^{35} \) and \( C l^{37} \)
respectively in ordinary chlorine if the atomic weight of chlorine is \( 35.5 ? \)
A . 1: 3
B. 3:
c. 1: 2
D. 2:
| 1 |
Chemistry
|
\( 4.28 \mathrm{g} \) of \( \mathrm{NaOH} \) is dissolved in water and the solution is made to 250 cc. What
will be the molarity of the solution?
A . 0.615 mol \( L^{-1} \)
B. 0.428 mol \( L^{-1} \)
c. 0.99 mol \( L^{-1} \)
D. 0.301 mol \( L^{-1} \)
| 1 |
Chemistry
|
Increase in the stability of the complex due to presence of multidentate ligands (which causes ring formation) is called chelation effect.
If true enter 1 , else enter 0 .
| 1 |
Chemistry
|
Pure water is a
of electricity.
A. good
B. badd
c. either could be possible
D. none of the above
| 1 |
Chemistry
|
For which colour is the fringe width minimum?
A . violet
B. red
c. green
D. yellow
| 3 |
Physics
|
Purine base of DNA molecule has
A. A and
B. c and T
c. A and a
D. None of the above
| 0 |
Biology
|
To determine the Young modulus of a wire, several measurements are taken.
In which row can the measurement not
be taken directly with the stated apparatus?
A. measurement: area of cross-section of wire apparatus : micrometer screw gauge
B. measurement: extension of wire ; apparatus: vernier scale
c. measurement: mass of load applied to wire ; apparatus : electronic balance
D. measurement: original length of wire ; apparatus metre rule
| 3 |
Physics
|
Assertion
\( A l(O H)_{3} \) is amphoteric in nature.
Reason
Al-O and O-H bonds can be broken with
equal ease in \( A l(O H)_{3} \)
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
| 1 |
Chemistry
|
The table below shows the daily expenditure on food of 25 households in a locality.
Daily expenditure (in Rs.) \( \quad \) No. of households
\( 100-150 \)
150-200
200-250
250-300 2
300-350
Find the mean daily expenditure on food by a suitable method.
A . 211
B. 201
c. 215
D. 209
| 2 |
Maths
|
Differentiate between \( ^{\prime} Z Z^{\prime} \) and \( ^{\prime} X Y^{\prime} \)
type of sex-determination mechanisms.
| 0 |
Biology
|
State whether given statement is True or False
A reflective load is a load as it appears
to the source in the primary of a transformer.
A. True
B. False
| 3 |
Physics
|
Find out which of the following sequences are arithmetic progressions. For those which are arithmetic
progressions, find out the common
difference.10 \( +10+2^{5}, 10+2^{6}, 10+ \)
\( \mathbf{2}^{7}, \ldots . . \)
| 2 |
Maths
|
If the radius of a sphere is increased by \( 2 \mathrm{cm}, \) then its surface area increases by
\( 352 c m^{2} . \) The radius of the sphere before
the increase was
A. \( 3 \mathrm{cm} \)
B. \( 4 \mathrm{cm} \)
\( c .5 \mathrm{cm} \)
D. \( 6 \mathrm{cm} \)
| 2 |
Maths
|
Electric potential at a point \( P, r \) distance away due to a point charge \( q \) at \( A \) is \( V \) volts. If twice of this charge is distributed uniformly on the surface of a hollow sphere of radius \( 4 r \) with center
at point \( A, \) the potential at \( P \) now is :
\( A \cdot v \)
B. V/2
\( c \cdot v / 4 \)
D. v/8
| 3 |
Physics
|
Assertion (A): The principal amplitude
of complex number \( \boldsymbol{x}+\boldsymbol{i} \boldsymbol{x} \) is \( \frac{\boldsymbol{\pi}}{\boldsymbol{4}} \)
Reason (R): The principal amplitude of a
complex number \( \boldsymbol{x}+\boldsymbol{i} \boldsymbol{y} \) is \( \frac{\boldsymbol{\pi}}{\boldsymbol{4}} \) if \( \boldsymbol{y}=\boldsymbol{x} \)
A. Both A and R are true and R is the correct explanation of A
B. A is true R is false
c. A is false, R is true
D. Both A and R are false
| 2 |
Maths
|
Leaves of a healthy potted plant were coated with vaseline; will this plant remain healthy for long?
| 0 |
Biology
|
Describe the mass flow hypothesis for translocation of organic solutes (food) in plants. What is the major criticism against this hypothesis?
| 0 |
Biology
|
The passage of an electric current through a conducting solution causes:
A. mechanical effect
B. electrical effect
c. chemical effect
D. all of the above
| 1 |
Chemistry
|
Let \( f(x) \) be defined by \( f(x)= \) \( \left\{\begin{array}{cl}\sin 2 x & \text { if } 0<x \leq \frac{\pi}{6} \\ a x+b & \text { if } \frac{\pi}{6}<x \leq 1\end{array} . \text { The values of } a\right. \)
and \( b \) such that \( f \) and \( f^{\prime} \) are
continuous, are
A \( \cdot a=1, b=\frac{1}{\sqrt{2}}+\frac{\pi}{6} \)
в. \( a=\frac{1}{\sqrt{2}}, b=\frac{1}{\sqrt{2}} \)
c. \( _{a=1, b}=\frac{\sqrt{3}}{2}-\frac{\pi}{6} \)
D. None of these
| 2 |
Maths
|
The displacement of a particle
executing SMH is given by \( \boldsymbol{x}= \) \( 0.01 \sin 100 \pi(t+0.05) . \) The time
period is
A . 0.01 sec
B. 0.02 sec
c. \( 0.1 \mathrm{sec} \)
D. \( 0.2 \sec \)
| 3 |
Physics
|
A magnetic needle oscillates in a horizontal plane with a period T at a
place where the angle of dip is \( 60^{0} \) When the same needle is made to
oscillate in a vertical plane coinciding with the magnetic meridian, its period will be
A \( \cdot \frac{T}{\sqrt{2}} \)
B. T
c. \( \sqrt{2 T} \)
D. 2T
| 3 |
Physics
|
The instantaneous emf and current
equations of an RLC series circuit are \( e=200 \sin \left(\omega t-\frac{\pi}{6}\right) \)
\( i=20 \sin \left(\omega t+\frac{\pi}{6}\right) \)
The average power consumed per cycle is
A. zero
в. \( 2000 \mathrm{W} \)
c. \( 1000 W \)
D. \( 500 W \)
| 3 |
Physics
|
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