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A ball of 100 g mass is thrown with a velocity of \( 100 m s^{-1} . \) The wavelength of
the de Broglie wave associated with the ball is about:
A. \( 6.63 \times 10^{-35} \mathrm{m} \)
В \( \cdot 6.63 \times 10^{-30} \mathrm{m} \)
c. \( 6.63 \times 10^{-33} \mathrm{cm} \)
D. \( 6.63 \times 10^{-33} \mathrm{m} \)
| 3 |
Physics
|
Find the fraction of 25 paise to \( R s 2 \)
A \( \cdot \frac{9}{8} \)
B. \( \frac{3}{8} \)
\( c \cdot \frac{5}{8} \)
D.
| 2 |
Maths
|
White phosphorus can be removed from
red phosphorus by:
This question has multiple correct options
A. sublimation
B. dissolving in \( C S_{2} \)
c. distillation
D. heating with alkali solution
| 1 |
Chemistry
|
To draw a pair of tangents to a circle which are at right angles to each other it is required to draw tangents at end points of two radii which are inclined at an angle of
\( \mathbf{A} \cdot 60^{\circ} \)
B. \( 90^{\circ} \)
\( c \cdot 120^{\circ} \)
D. \( 45^{\circ} \)
| 2 |
Maths
|
Find the differentiation of \( \sec \left(\tan ^{-1} x\right) \)
w.r.t. \( \boldsymbol{x} \)
| 2 |
Maths
|
In the laboratory, \( M n O_{2} \) is made by:
A. heating \( M n \) in \( O_{2} \)
B. oxidising \( M n^{2+} \)
C. electrolytic oxidation of \( M n S O_{4} \)
D. titration of \( K M n O_{4} \) in alkaline medium
| 1 |
Chemistry
|
\( 12 x y\left(9 x^{2}-16 y^{2}\right) \div 4 x y(3 x+4 y) \)
| 2 |
Maths
|
The values of \( A \) and \( B \) represented on
the number line are
\begin{tabular}{cccccccccc}
\hline & & & & & & & & & \\
\( \frac{-6}{1} \) & \( \frac{-5}{1} \) & \( \frac{-4}{1} \) & \( \frac{-3}{\mathrm{A}} \) & \( \frac{-2}{1} \) & \( \frac{-1}{1} \) & \( \frac{0}{1} \) & \( \frac{1}{\mathrm{B}} \) & \( \frac{2}{1} \) & \( \frac{3}{1} \)
\end{tabular}
A . 1,1
B. -1,1
\( c \cdot 1,-1 \)
D. -1,-1
| 2 |
Maths
|
Which acids/ bases are used for the
following?
(i) To neutralize sting of wasps
(ii) In alkaline batteries
(iii) Manufacturing of soap
A \( \cdot \) (i) \( C H_{3} C H O \) (ii) \( C s O H \) (iii) \( C a(O H)_{2} \)
B . (i) \( C H_{3} C O O H \) (ii) \( C u S O_{4} \) (iii) \( B a(O H)_{2} \)
c. \( \left(\text { i) } C H_{3} \text { COOH (ii) } K O H \text { (iii) } N a O H\right. \)
D. None of these
| 1 |
Chemistry
|
The electronegativites of the following
elements \( H, O, F, S \) and \( C l \) increase in
the order:
A. \( H<O<F<S<C l \)
в. \( S<H<C l<O<F \)
c. \( H<S<O<C l<F \)
D. \( H<S<C l<O<F \)
| 1 |
Chemistry
|
A weak electrolyte having the limiting equivalent conductance of \( 400 S \mathrm{cm}^{2} g \)
equiv \( ^{-1} \) at \( 298 K \) is \( 2 \% \) ionized in its \( 0.1 N \) solution. The resistance of this
solution (in ohm) in an electrolytic cell of cell constant \( 0.4 \mathrm{cm}^{-1} \) at this
temperature is:
A . 200
в. 300
c. 400
D. 500
E. 600
| 1 |
Chemistry
|
If \( \sin \theta=\frac{8}{17} \) and \( 90^{\circ}<\theta<180^{\circ}, \) then
the value of the expression \( \frac{2 \sin \theta+\cos \theta}{3 \cos \theta+5 \sin \theta} \) is :
\( A \cdot \frac{1}{5} \)
B. \( -\frac{1}{5} \)
c. \( \frac{31}{85} \)
D. \( -\frac{31}{85} \)
| 2 |
Maths
|
Let \( \vec{a}=\hat{j}-\hat{k} \) and \( \vec{c}=\hat{i}-\hat{j}-\hat{k}, \) then
the vector \( \overrightarrow{\boldsymbol{b}} \) satisfying \( \overrightarrow{\boldsymbol{a}} \times \overrightarrow{\boldsymbol{b}}+\overrightarrow{\boldsymbol{c}}=\mathbf{0} \)
and \( \vec{a} \cdot \vec{b}=3 \) is
\( \mathbf{A} \cdot-\hat{i}+\hat{j}-2 \hat{k} \)
B . \( 2 \hat{i}-\hat{j}+2 \hat{k} \)
c. \( \hat{i}-\hat{j}-2 \hat{k} \)
D. \( \hat{i}+\hat{j}-2 \hat{k} \)
| 2 |
Maths
|
Bryophytes resemble algae in which of the following aspects?
A. Filamentous body, presence of vascular tissues and autotrophic nutrition
B. Differentiation of plant body into root, stem and leaves and autotrophic nutrition
c. Thallus like plant body, presence of root and autotrophic nutrition
D. Thallus-like plant body, lack of vascular tissues and autotrophic nutrition
| 0 |
Biology
|
Given a parallelogram \( \boldsymbol{A B C D} \). If \( |\overrightarrow{A B}|=a,|\overrightarrow{A D}|=b \&|\overrightarrow{A C}|=c, \) then
\( \overrightarrow{D B} \cdot \overrightarrow{A B} \) has the value
\( ^{\text {A } \cdot} \frac{3 a^{2}+b^{2}-c^{2}}{2} \)
B. \( \frac{a^{2}+3 b^{2}-c^{2}}{2} \)
c. \( \frac{a^{2}+b^{2}-3 c^{2}}{2} \)
D. None
| 2 |
Maths
|
Two concentric co-planar circular loops
of radii \( r_{1} \) and \( r_{2} \) carry currents of
respectively \( i_{1} \) and \( i_{2} \) in opposite
directions (one clockwise and the other
anticlockwise.) The magnetic induction
at the centre of loops is half that due to
\( i_{1} \) alone at the centre. If \( r_{2}=2 r_{1} . \) the
value of \( i_{2} / i_{1} \) is
\( \mathbf{A} \cdot 2 \)
B. \( \frac{1}{2} \)
\( c \cdot \frac{1}{4} \)
D.
| 3 |
Physics
|
A lead ball of radius \( 24 \mathrm{cm} \) is melted down and recast into smaller balls of
radius \( 6 \mathrm{cm} . \) Assuming that no metal is lost in this process, number of complete smaller balls that can be made, is -
A . 4
B . 16
\( c .36 \)
D. 64
| 2 |
Maths
|
Select incorrect statement.
A. Mellitic acid is benzene hexa-carboxylic acid.
B. \( P b \) dissolves in conc. \( H C l \) forming \( P b C l_{2} \)
C \( . P b \) dissolves in hot \( N a O H \) forming \( N a_{2}\left[P b(O H)_{6}\right] \)
D. Diamond is unreactive but graphite forms \( (C H)_{n} \) with
\( F_{2} \)
| 1 |
Chemistry
|
Evaluate \( \int_{0}^{5}(2-x) d x \)
| 2 |
Maths
|
The increase in length of a wire on stretching is \( 0.025 \% \). If its Poisson's ratio is \( 0.4, \) then the percentage
decrease in diameter is:
A . \( 0.01 \% \)
B . 0.02\%
c. \( 0.03 \% \)
D . 0.04\%
| 3 |
Physics
|
State true or false.
Soft soaps are potassium salts of higher fatty acids.
A. True
B. False
| 1 |
Chemistry
|
Which of the following diseases is cured by sulpha drug?
A. Diptheria
B. Dysentry
c. Tuberculosis
D. all of these
| 1 |
Chemistry
|
The value of \( \int_{1 / 2}^{1} \frac{d x}{x \sqrt{3 x^{2}+2 x-1}} \) is?
\( \mathbf{A} \cdot \pi / 2 \)
в. \( \pi / 3 \)
c. \( \pi / 6 \)
D. \( \pi / \sqrt{2} \)
| 2 |
Maths
|
Select the correct statement.
A. Carbon-carbon bond order in graphite is more than diamond
B. Carbon-carbon bond order in graphite is less than diamond
C. Hybridization of each carbon in diamonds is \( S p_{3} \)
D. Hybridization of each carbon in graphite is \( S p_{3} \)
| 1 |
Chemistry
|
A body of mass \( 60 k g \) is dragged with
just enough force to start moving on a rough surface with coefficients of static
and kinetic friction 0.5 and 0.4
respectively. On applying the same force what is the acceleration?
A \( \cdot 0.98 m / s^{2} \)
в. \( 9.8 m / s^{2} \)
\( \mathbf{c} \cdot 0.54 m / s^{2} \)
D. \( 5.292 \mathrm{m} / \mathrm{s}^{2} \)
| 3 |
Physics
|
Prove that: \( \sin \left(\frac{\pi}{2}-\theta\right)=\cos \theta \)
| 2 |
Maths
|
The extent of the ionization depends on
the
A. nature of the solvent
B. temperature of the solution
c. concentration of the solution
D. nature of the solute
E. all of the above
| 1 |
Chemistry
|
Ozone is a rare gas found in the outer reaches of the atmosphere. Small quantities are sometimes produced by:
A. Electrical heaters
B. Electric sparks of electric trains
c. Heating rusted iron
D. Melting ice from glaciers
| 1 |
Chemistry
|
Which of the following is a satellite of Neptune?
\( A \). Titon
B. Phobos
c. Deimos
D. Triton
| 3 |
Physics
|
The high boiling point water is due to the presence of:
A. dative bond
B. covalent bond
c. hydrogen bond
D. vander waals bond
| 1 |
Chemistry
|
While keeping area of cross-section of a solenoid same, the number of turns and length of solenoid one both doubled. The
self inductance of the coil will be?
A. Halved
B. Doubled
c. \( 1 / 4 \) times the original value
D. Unaffected
| 3 |
Physics
|
A projectile is thrown in the upward
direction making an angle of \( 60^{\circ} \) with the horizontal direction with a velocity
of \( 147 m s^{-1} . \) Then the time after which
its inclination with the horizontal is \( 45^{\circ} \)
is (Take \( \boldsymbol{g}=\mathbf{9 . 8} \boldsymbol{m} / \boldsymbol{s}^{2} \) )
A . \( 15 s \)
B. \( 10.98 s \)
c. \( 5.49 s \)
D. 2.745 \( s \)
| 3 |
Physics
|
Distinguish between Phellem and phelloderm.
| 0 |
Biology
|
The orbital that has one radial node is:
A \( .2 p \)
в. \( 3 p \)
c. \( 4 p \)
D. \( 5 p \)
| 1 |
Chemistry
|
Whether Photorespiration is present at low light intensities.
| 0 |
Biology
|
Rate law for the reaction, \( \boldsymbol{A}+\boldsymbol{B} \longrightarrow \)
product is rate \( =\boldsymbol{k}[\boldsymbol{A}]^{2}[\boldsymbol{B}] . \) What is the
rate constant; if rate of reaction at a
given temperature is \( 0.22 M s^{-1}, \) when
\( [\boldsymbol{A}]=\mathbf{1} \boldsymbol{M} \) and \( [\boldsymbol{B}]=\mathbf{0 . 2 5} \boldsymbol{M} ? \)
\( \mathbf{A} \cdot 3.52 M^{-2} s^{-1} \)
B . \( 0.88 M^{-2} s^{-1} \)
c. \( 1.136 M^{-2} s^{-1} \)
D. \( 0.05 M^{-2} s^{-1} \)
| 1 |
Chemistry
|
Assertion
The rate of reaction increases generally
by 2 to 3 times for every \( 10^{\circ} \mathrm{C} \) rise in temperature.
Reason
An increase in temperature increases the coliision frequency.
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
|
\( 5 \% \) solution of cane sugar is isotonic
with \( 0.877 \% \) of \( X . \) The molecular weight
of substance \( \boldsymbol{X} \) is:
A . 126.98
B. 119.96
c. 95.5
D. 59.98
| 1 |
Chemistry
|
Write the balanced equations for the reaction occurring when gold is dissolved in aqua regia.
A \( \cdot 2 A u+3 H N O_{3}+11 H C l \rightarrow 2 H A u C l_{4}+3 N O C l+ \)
\( 6 H_{2} O \)
B . \( 2 A u+3 H N O_{3}+13 H C l \rightarrow 2 H A u C l_{4}+2 N O C l+ \)
\( 8 H_{2} O \)
c. \( 2 A u+5 H N O_{3}+11 H C l \rightarrow 2 H A u C l_{4}+2 N O C l+ \)
\( 8 H_{2} O \)
D. None of these
| 1 |
Chemistry
|
Let \( z_{1} \) and \( z_{2} \) be complex numbers, then
\( \left|z_{1}+z_{2}\right|^{2}+\left|z_{1}-z_{2}\right|^{2} \) is equal to
A \( \cdot\left|z_{1}\right|^{2}+\left|z_{2}\right|^{2} \)
B \( \cdot 2\left(\left|z_{1}\right|^{2}+\left|z_{2}\right|^{2}\right) \)
c. \( 2\left(z_{1}^{2}+z_{2}^{2}\right) \)
D. \( 4 z_{1} z_{2} \)
| 2 |
Maths
|
If the \( m^{t h} \) term of an \( A . P . \) is \( \frac{1}{n} \) and \( n^{t h} \) term is \( \frac{1}{m}, \) then the sum of first \( m n \)
terms is
A \( . m n+1 \)
в. \( \frac{m n+1}{2} \)
c. \( \frac{m n-1}{2} \)
D. \( \frac{m n-1}{3} \)
| 2 |
Maths
|
Assertion
The force exerted by the fluid is due to
the collisions of molecules with their
surroundings.
Reason
The normal force exerted by the fluid
particles on the walls of the container
results pressure.
A. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
B. Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion
C. Assertion is incorrect but Reason is correct
D. Both Assertion and Reason are incorrect
| 3 |
Physics
|
Which of the following process is/are irreversible?
This question has multiple correct options
A. Combustion reaction of a mixture of petrol and air ignited by a spark
B. Diffusion of cooking gas in air
c. Temperature change in atmosphere
D. None of these
| 3 |
Physics
|
A simple telescope used to view distant objects has eyepiece and objective lens
of focal lengths \( f_{e} \) and \( f, \) respectively.
Then
| 3 |
Physics
|
Compare the traditional water harvesting system with portable system in hilly/mountains areas or plains or plateau regions.
| 0 |
Biology
|
The type of bond formed by \( C a \) with \( O \) is:
A. ionic
B. covalent
c. coordinate
D. none of these
| 1 |
Chemistry
|
A spherical ball of mass \( 1 k g \) moving
with a uniform speed of \( 1 \mathrm{m} / \mathrm{s} \) collides symmetrically with two identical spherical balls of mass \( 1 k g \) each at rest touching each other. If the two balls move with \( 0.5 m / s \) in two directions at
the same angle of \( 60^{\circ} \) with the direction of the first ball, the loss of kinetic
energy on account of the collision is:
в. \( 0.5 \mathrm{J} \)
c. \( 1.0 \mathrm{J} \)
D. \( 0.75 J \)
| 3 |
Physics
|
A radioactive sample has \( 8.0 \times 10^{18} \)
active nuclei at a certain instant. How
many of these nuclei will still be in the
active state after two half-lives (in
\( \left.\times 10^{18}\right) ? \)
| 3 |
Physics
|
Nitrolim is a mixture of :
A. \( C a C_{2} \) and graphite
B. \( C a C N_{2} \) and graphite
c. \( C a(C N)_{2} \) and graphite
D. \( C a C N_{2}+N_{2} \)
| 1 |
Chemistry
|
In a sewage plant, BOD is indicated as high. After sometime it shows a
decrease then
A. There is increase in bacterial growth but decrease in oxygen.
B. There is decrease in bacterial growth but increase in oxygen.
c. There is increase in bacterial growth but increase in oxygen
D. There is decrease in bacterial growth but decrease in oxygen
| 0 |
Biology
|
Malleolus is a
A. Prominence between metacarpal and proximal phalanges.
B. Knee prominence.
C. Prominence of femur
D. Prominence at end of tibia and fibula.
| 0 |
Biology
|
The oscillations represented by curve 1
in the graph are expressed by equation
\( x= \) Asinwt. The equation for the
oscillations represented by curve 2 is expressed as:
A. \( x=2 A \sin (\omega t-\pi / 2) \)
B. \( x=2 A \sin (\omega t+\pi / 2) \)
c. \( x=-2 \operatorname{Asin}(\omega t-\pi / 2) \)
D. \( x=\operatorname{Asin}(\omega t-\pi / 2) \)
| 3 |
Physics
|
What is angular displacement in radian
of a second hand of a clock in 10 second
\( ? \)
| 3 |
Physics
|
Circinate vernation is seen in
A. Equisteum, Nephrolepis, Psilotum
B. Nephrolepis, Adiantum, Pteris
C . Lycopodium, Nephrolepis
D. Psilotum, Nephrolepis, Adiantum
| 0 |
Biology
|
Resistor is coloured as green - orange -
yellow - gold,its resistance will be:
A. \( 53 \times 10^{4} \pm 10 \% \)
В. \( 54 \times 10^{4} \pm 10 \% \)
c. \( 42 \times 10^{4} \pm 10 \% \)
D. \( 53 \times 10^{4} \pm 5 \% \)
| 3 |
Physics
|
Assertion
The maximum value of
\( (\sqrt{-3+4 x-x^{2}}+4)^{2}+(x-5)^{2} \)
(where \( 1 \leq x \leq 3 \) ) is 36
Reason
The maximum distance between the
point (5,-4) and the point on the circle
\( (x-2)^{2}+y^{2}=1 \) is 6
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
| 2 |
Maths
|
Define angiosperms.
| 0 |
Biology
|
Among the following the most basic compound is :
A. p-nitroaniline
B. acetanilide
c. aniline
D. benzylamine
| 1 |
Chemistry
|
Find the coordinate of the points which trisect the line segment joining the points \( \boldsymbol{A}(\mathbf{2}, \mathbf{1},-\mathbf{3}) \) and \( \boldsymbol{B}(\mathbf{5},-\mathbf{8}, \mathbf{3}) \)
| 2 |
Maths
|
Which condition favours the bond format
ion?
A. Maximum attraction and maximum potential energy
B. Minimum attraction and minimum potential energy
C. Minimum potential energy and maximum attraction
D. None of the above
| 1 |
Chemistry
|
A \( 10 g \) bullet is fired at a plank of wood
with a speed of \( 200 m s^{-1} . \) After passing
through the plank, which is \( 1 m \) thick, the speed of the bullet reduces to
\( 100 m s^{-1} . \) Find the average resistance offered by the plank.
| 3 |
Physics
|
Which of the hydrated species can
exist?
\( \boldsymbol{I}: \boldsymbol{H}_{5} \boldsymbol{O}_{2}^{+} \boldsymbol{I I}: \boldsymbol{H}_{3} \boldsymbol{O}^{+} \boldsymbol{I I I} \)
\( \boldsymbol{H}_{3} \boldsymbol{O}_{2}^{-} \quad \boldsymbol{I} \boldsymbol{V}: \boldsymbol{H}_{7} \boldsymbol{O}_{3}^{+} \)
Select alternate from:
A . II only
B. \( I \) and \( I I \)
c. \( I, I I \) and \( I V \)
D. \( I, I I, I I I \) and \( I V \)
| 1 |
Chemistry
|
\( 10^{t h} \) term of \( \mathrm{AP}: 2,7,12, \ldots . . \) is
A . 35
B. 47
c. 55
D. None of the above
| 2 |
Maths
|
In the reaction given below, the product \( \boldsymbol{X} \) is:
\( 4 H N O_{3}+P_{4} O_{10} \rightarrow 4 H P O_{3}+X \)
A. \( N_{2} O_{5} \)
в. \( N_{2} O_{3} \)
\( c \cdot N O_{2} \)
D. \( H_{2} O \)
| 1 |
Chemistry
|
Explain why the deflection occurs in
the galvanometer
| 3 |
Physics
|
In a series \( L C R \) circuit the frequency of
a \( 10 V, A C \) voltage source id adjusted in such a fashion that the reluctance of
the inductor or measures \( 15 \Omega \) and that
of the capacitor \( 11 \Omega . \) If \( R=3 \Omega, \) the
potential difference across the series combination of \( L \) and \( C \) will be:
\( A \cdot 8 V \)
B. \( 10 V \)
\( c \cdot 22 V \)
D. \( 52 V \)
| 3 |
Physics
|
The major product of the reaction of 2 butene with alkaline \( K M n O_{4} \) solution
is
\( A \)
в.
\( c \)
D.
| 1 |
Chemistry
|
Which of the following does not result in an increase in entropy?
A. crystallisation of sucrose from solution
B. rusting of iron
c. conversion of ice to water
D. vapourisation of camphor
| 1 |
Chemistry
|
In a cyclic process, which of the following statement is correct?
A. Change in internal energy is not zero.
B. The system returns to its initial state and it is is is reversible
c. The total heat absorbed by the system is not equal to work done by the system
D. Change in internal energy is zero.
| 1 |
Chemistry
|
If \( \boldsymbol{f}: \boldsymbol{R} \rightarrow \boldsymbol{R}, \boldsymbol{g}: \boldsymbol{R} \rightarrow \boldsymbol{R} \) are defined by
\( f(x)=x^{2}, g(x)=\cos x \) then
\( (g o f)(x)= \)
\( \mathbf{A} \cdot \cos 2 x \)
B. \( x^{2} \cos x \)
\( \mathbf{c} \cdot \cos x^{2} \)
D. \( \cos ^{2} x^{2} \)
| 2 |
Maths
|
A coin is tossed until a head appears or
it has been tossed 3 times. Given that
head does not appear on the first toss, the probability that the coin is tossed 3 times is
A \( \cdot \frac{1}{4} \)
B. \( \frac{3}{8} \)
\( c \cdot \frac{1}{8} \)
D.
| 2 |
Maths
|
In a group, if \( 60 \% \) of people drink tea and \( 70 \% \) drink coffee. What is the
maximum possible percentage of people drinking either tea or coffee but
not both?
\( \mathbf{A} \cdot 100 \% \)
B. \( 70 \% \)
\( c .30 \% \)
D. \( 10 \% \)
| 2 |
Maths
|
In a metal, the separation between conduction band and valence band is of
the order
A . 100 eV
B. 10 eV
\( c \cdot 0 e V \)
D. 1 eV
| 3 |
Physics
|
The experimental curve obtained when the rate of a reaction is plotted against
time, appeared parallel to the time axis
some time after the reaction started.
This indicates that:
A. the reaction has stopped
B. the equilibrium is established
c. the concentration of the reactants is negligible
D. the reaction is complex
| 1 |
Chemistry
|
One integer is greater than the other by \( +4 . \) If one number is \( -16, \) then the other
will be
A. +12
B. 0
c. -1
D. -12
| 2 |
Maths
|
State whether the following statement is true or false.
If \( Z_{r}=\cos \frac{\pi}{3^{r}}+i \sin \frac{\pi}{3^{r}}, r= \)
\( \mathbf{1}, \mathbf{2}, \mathbf{3}, \dots \dots \operatorname{then} z_{1} z_{2} z_{3} \dots \dots \dots=i \)
A. True
B. False
| 2 |
Maths
|
Sonar is an instrument used for finding
the depth of sea. State true or false.
A. True
B. False
| 3 |
Physics
|
Assertion
When monochromatic light falls on a photosensitive material, the number of
photo electrons emitted per second is \( n \)
and their maximum kinetic energy is
\( K_{m a x} . \) If the intensity \( I \) of the incident
light is doubled, \( n \) is doubled but \( K_{m a x} \)
remains the same.
Reason
The value of \( n \) is directly proportional to
\( I \) but \( K_{\max } \) is independent of \( I \)
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
|
Evaluate \( -12 \times 21 \)
A \( .-2412 \)
B . -242
\( \mathbf{c} .-252 \)
D. +252
| 2 |
Maths
|
In three test tubes \( P, Q, \) and \( R \) iron
nails, water, oil and anhydrous calcium
chloride is taken. Among these test
tubes, in which test tubes corrosion of
nails will not take place?
\( A \cdot P, Q \) and \( R \)
B. \( P \) and \( R \)
\( c . P \) and \( Q \)
D. \( Q \) and \( R \)
| 1 |
Chemistry
|
State which surface of a plane mirror reflects most of the light incidents on it:
the front smooth surface or the back
silvered surface?
A. Back silvered surface
B. Front smooth surface
c. Both refract equally
D. Both reflect no light
| 3 |
Physics
|
The rate of interest
| 2 |
Maths
|
Which of the following statement is/are true for \( _{1} \boldsymbol{H}^{1},_{1} \boldsymbol{H}^{2} \) and \( _{1} \boldsymbol{H}^{3} \)
respectively? This question has multiple correct options
A. They are isotopes of each other
B. They have similar electronic configuration
c. They exist in the nature in the ratio 1: 2: 3
D. Their atomic masses are in the ratio 1: 2: 3
| 1 |
Chemistry
|
The boiling point of the hydrochloric acid varies with its concentration.
A. True
B. False
| 1 |
Chemistry
|
Among the VA(15) group elements one of them forms a compound sold under the name 'Pearl White'. the element
used is :
A .
B. P
\( c \cdot s b \)
D. Bi
| 1 |
Chemistry
|
On acid hydrolysis, propane nitrile gives
A. Propanal
B. Acetic acid
c. Propionamide
D. Propanoic acid
| 1 |
Chemistry
|
The gravitational force acting on a
particle of \( 1 g \) due to a similar particle is
equal to \( 6.67 \times 10^{-11} \). Calculate the
seperation between the particles.
| 3 |
Physics
|
solve
\( x y \frac{d y}{d x}=x^{2}+2 y^{2} \)
| 2 |
Maths
|
Write down name of functional group
\( -\boldsymbol{X} \)
| 1 |
Chemistry
|
The water is reabsorbed under the
influence of ADH. it is
A. Active reabsorption
B. obligatory reabsorption
c. Facultative
D. All of the above
| 0 |
Biology
|
A emulsifier is a substance which:
A. stabilises the emulsion
B. homogenises the emulsion
C . coagulates the emulsion
D. accelerates the dispersion of liquid in liquid
| 1 |
Chemistry
|
Consider the following statements:
(a) High blood pressure is an infectious disease.
(b) Penicillin is effective against
bacteria because it inhibits their wall
formation.
(c) AlDS spreads, through sex, blood to blood contact and from mother to child.
Which of the above statements are
correct?
\( A \cdot(a) \) and \( (b) \)
B. (b) and (c)
\( c \cdot(a),(b) \) and \( (c) \)
D. None of the above
| 0 |
Biology
|
A particle moving in straight line
diverse a distance \( x \) in that straight line
from a fixed point in time \( t . \) If \( \boldsymbol{x}= \) \( a \cos \sqrt{\mu} t\{\text { Where } \mu>0) . \) Find the
acceleration of the particle in time \( t \)
A. \( -\mu x \)
B. \( \mu x \)
c. \( -\sqrt{\mu} x \)
D. \( \sqrt{\mu} x \)
| 2 |
Maths
|
Thermal radiations are similar to
A . \( \alpha \) rays
B. X-rays
c. cathode rays
D. none of these
| 3 |
Physics
|
What is the area of the region bounded
by the lines \( x=y, y=0 \) and \( x=4 ? \)
A. 4 square units
B. 8 square units
c. 12 square units
D. 16 square units
| 2 |
Maths
|
The total magnification produced by a compound microscope is \( 20 . \) The magnification produced by the eye piece along is \( 5 . \) The microscope is focused on a certain object. The distance between the objective and
eyepiece is observed to be \( 14 \mathrm{cm} . \) Then the focal lengths of the objective and eyepiece are respectively, if final image formed at near point \( (D=20 \mathrm{cm}) \)
A. \( 2 \mathrm{cm}, 5 \mathrm{cm} \)
B. \( 5 \mathrm{cm}, 10 \mathrm{cm} \)
\( \mathrm{c} \cdot 3 \mathrm{cm}, 9 \mathrm{cm} \)
D. \( 4 \mathrm{cm}, 12 \mathrm{cm} \)
| 3 |
Physics
|
Which of the following is called
Westron?
A \( . C H_{3} C l \)
в. \( C H C l_{3} \)
c. \( C H C l_{2} . C H C l_{2} \)
D. \( C C l_{2}=C H C l \)
| 1 |
Chemistry
|
The term that would apply to \( ^{16} \mathrm{O} \) and \( 170 ? \)
A. Isotopes
B. Isobars
c. Isoelectronics
D. Isotones
| 3 |
Physics
|
If the angle of projection is \( 60^{\circ}, \) the height of the projectile when it has travelled a distance \( \frac{3 R}{4} \) is \( (R \) is the range)
A \( \cdot \frac{3 \sqrt{3} R}{16} \)
в. \( \frac{2}{3} R \)
c. \( \frac{\sqrt{3} R}{16} \)
D. \( \frac{4}{5} R \)
| 3 |
Physics
|
Write down the set represented by the
shaded region in figure (ii)
| 2 |
Maths
|
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