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Simplify \( \tan ^{-1}\left[\frac{\boldsymbol{a} \cos \boldsymbol{x}-\boldsymbol{b} \sin \boldsymbol{x}}{\boldsymbol{b} \cos \boldsymbol{x}+\boldsymbol{a} \sin \boldsymbol{x}}\right], \) if
\( \frac{\boldsymbol{a}}{\boldsymbol{b}} \tan \boldsymbol{x}>-1 \) | 2 | Maths |
The lengths of two wires made of the same material are in the ratio \( 2: 1 . \) If
the masses of the two wires are in the
ratio \( 1: 8, \) find the ratio of their
resistances
\( \mathbf{A} \cdot 1: 16 \)
B. 32: 1
\( \mathbf{c} \cdot 16: 1 \)
D. 1: 32 | 3 | Physics |
Assertion
To unscrew a rusted nut, we need a
wrench with a longer arm
Reason
Wrench with longer arm reduces the
torque applied by the arm
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 |
RQ is more than one indicating
A. Aerobic respiration
B. Anaerobic respiration.
c. Both A and B
D. None of the above. | 0 | Biology |
Which of the following pair consists of ore of the same metal?
This question has multiple correct options
A. Magnesite, Cerussite
B. Chalcocite, Copper pyrites
c. Bauxite, Corundum
D. Anglesitc, Cerussite | 1 | Chemistry |
Select the incorrect statement.
A. In metallurgy, flux is a substance used to convert infusible impurities to fusible mass.
B. Cryolite is \( N a_{3} A l F_{6} \) and is used in the electrolysis of alumina for lowering the melting point of alumina.
C. Extraction of iron metal from ores of iron oxides is
carried out by heating with coke.
D. The chemical composition of carnallite is \( K_{2} M g_{2}\left(S O_{4}\right)_{3} \) | 1 | Chemistry |
An unsaturated hydrocarbon is
A \( . C H_{4} \)
в. \( C_{2} H_{6} \)
\( \mathbf{c} \cdot C_{2} H_{4} \)
D. \( C_{2} H_{5} O H \) | 1 | Chemistry |
Elements are impure matter
A. True
B. False | 1 | Chemistry |
Factorise the following \( : 27(a-b)^{3}+ \)
\( (2 a-b)^{3}+(4 b-5 a)^{3} \)
A \( \cdot(a-b)(a-b)(4 b-8 a) \)
В. \( 9(a-b)(2 a-b)(4 b-5 a) \)
c. \( 9(a-b)(a-2 b)(4 b-a) \)
D. \( 94-b)(2 a-b)(b-a) \) | 2 | Maths |
Suggest a sequence of reactions
suitable for preparing propanol from \( 2- \) propanol. | 1 | Chemistry |
A body is dropped from a height \( h \)
number acceleration due to gravity \( \boldsymbol{g} \). If
\( t_{1} \) and \( t_{2} \) are time intervals for its fall for
first half and the second half distance,
the relation between them is :
в. \( t_{1}=2 t \)
c. \( _{t_{1}}=\frac{t_{2}}{\sqrt{2}-1} \)
D. \( t_{1}=4 t_{2} \) | 3 | Physics |
First life consisted of
A. Protovirus
B. Provirus
C. Bacteria
D. Virus | 0 | Biology |
toppr
Q Type your question
around the spool through which a mass
\( \mathrm{m} \) is hanging. There exists no friction at
point \( A, \) while the coefficient of friction
between spool and point \( B \) is \( \mu . \) The
angle between two surfaces is \( \theta \)
This question has multiple correct options
A. the magnitude of force on the spool at B in order to maintain equilibrium is \( m g \sqrt{\left(\frac{r}{R}\right)^{2}+\left(1-\frac{r}{R}\right)^{2}} \frac{1}{\tan ^{2} \theta} \)
B. the magnitude of force on the spool at \( B \) in order to maintain equilibrium is \( m g\left(1-\frac{r}{R}\right) \frac{1}{\tan \theta} \)
C. the maintain value of \( \mu \) for the system to remain in equilibrium is \( \frac{\cot \theta}{(R / r)-1} \)
D. the maintain value of \( \mu \) for the system to remain in equilibrium is \( \frac{\tan \theta}{(R / r)-1} \) | 3 | Physics |
A sphere has to purely roll upwards. At an instant when the velocity of sphere is
\( v, \) frictional force acting on it is
A. downwards and \( \mu \) mg cos \( \theta \)
B. downwards and \( \frac{2 m g \sin \theta}{7} \)
c. upwards and \( \mu m g \cos \theta \)
D. upwards and \( \frac{2 m g \sin \theta}{7} \) | 3 | Physics |
A boy swims a lake and initially dives \( 0.5 m \) beneath the surface. When he
dives \( 1 m \) beneath the surface, how does
the absolute pressure change?
A. It doubles
B. It quadruples
c. It slightly increases
D. It cut to a half | 3 | Physics |
Consider the following alkane and answer the following questions:
\( \left(\boldsymbol{C H}_{3}\right)_{2} \boldsymbol{C H} \boldsymbol{C H}_{2}\left(\boldsymbol{C}_{2} \boldsymbol{H}_{5}\right) \boldsymbol{C H}\left(\boldsymbol{C H}_{3}\right) \boldsymbol{C I} \)
The molecular formula is:
\( \mathbf{A} \cdot C_{10} H_{24} \)
в. \( C_{10} H_{21} \)
c. \( C_{10} H_{22} \)
D. \( C_{9} H_{22} \) | 1 | Chemistry |
Which of the following condition is correct for operation of electrolytic cell?
A. \( \triangle G=0, E=0 \)
в. \( \triangle G<0, E>0 \)
c. \( \triangle G>0, E<0 \)
D. \( \Delta G>0, E>0 \) | 1 | Chemistry |
In a ripple tank, 10 full ripples/s are produced. The distance between peaks of consecutive trough and crest is 15 \( c m \). Calculate the velocity of the
ripples.
\( A \cdot 2 m / s \)
в. \( 3 m / s \)
c. \( 4 m / s \)
D. \( 6 m / s \) | 3 | Physics |
In Brownian movement or motion the
paths of the particles are:
A . linear
c. uncertain
D. curvedd | 1 | Chemistry |
The sky is blue because
A. There is more blue light in the sunlight
B. Of scattering of sunlight by air molecules in the atmosphere
C. Of scattering of sunlight by dust particles in the atmosphere
D. Other colours are absorbed by heavenly bodies | 3 | Physics |
Show graphically that the pair of
equations \( 3 x+4 y=6,6 x+8 y=12 \)
represents coincident lines | 2 | Maths |
A body moves in a circle covers equal distance in equal intervals of time.
Which of the following remains
constant
A. Velocity
B. Acceleration
c. speed
D. Displacement | 3 | Physics |
On rusting of iron it completely converts in \( F e_{2} O_{3} . \) If a sample of pure gains \( 10 \% \) in weight due to partial rusting. Calculate the fraction of iron rusted.
A \( .5 / 30 \)
в. \( 8 / 30 \)
c. \( 7 / 30 \)
D. \( 9 / 30 \) | 1 | Chemistry |
The percentage of formaldehyde in
formalin is:
A . \( 40 \% \)
B. 30\%
c. \( 20 \% \)
D. 10\% | 1 | Chemistry |
A ball of mass 0.5 gram is hit by battery switch giving an impulse of \( 0.075 \mathrm{N} \) with what velocity does the ball move? | 3 | Physics |
Write whether the following statements are True or False. Justify your answer The degree of \( x^{2}+2 x y+y^{2} \) is 2
A . True
B. False | 2 | Maths |
If the Rolle's theorem holds for the
function \( \boldsymbol{f}(\boldsymbol{x})=\mathbf{2} \boldsymbol{x}^{\mathbf{3}}+\boldsymbol{a} \boldsymbol{x}^{2}+\boldsymbol{b} \boldsymbol{x} \) in
interval [-1,1] for the point \( c=\frac{1}{2}, \) then
find the value of \( 2 a+b ? \)
A
B. -
\( c \cdot 2 \)
\( D \cdot-2 \) | 2 | Maths |
Find electric field
A \( \cdot \frac{2 m a V^{2}}{e d^{2}} \)
B. \( \frac{m a V^{2}}{e d^{2}} \)
c. \( \frac{2 m a V^{2}}{2 e d^{2}} \)
D. \( \frac{2 m a V^{3}}{e d^{3}} \) | 3 | Physics |
1000 g aqueous solution of \( C a C O_{3} \) contains 10 g of calcium carbonate. \( \mathbf{A} \) concentration of the solution is:
A. 10 ppm
B. 100 ppm
c. 1000 ppm
D. 10000 ppm | 1 | Chemistry |
Why is manganese more stable in the
+2 state than the +3 state and the
revers is true for iron? | 1 | Chemistry |
The resistance of \( 0.5 \mathrm{M} \) solution of an
electrolyte in a cell was found to be 50
\Omega. If the electrodes in the cell are \( 2.2 \mathrm{cm} \)
a part and have an area of \( 4.4 \mathrm{cm}^{2} \) than
the molar conductivity \( \left(\operatorname{in} S m^{2} m o l^{-1}\right) \)
of the solution is:
A . 0.2
B. 0.02
c. 0.002
D. None of these | 1 | Chemistry |
If longitudinal strain for a wire is 0.03
and its poisson ratio is \( 0.5, \) then its lateral strain is
\( \mathbf{A} \cdot 0.003 \)
в. 0.0075
c. 0.015
D. 0.4 | 3 | Physics |
Which of the following is/are true statement(s) for the preparation of Teflon?
A. It is produced by condensation polymerization
B. Water acts as catalyst
c. The monomer used is tetrafluoroethane
D. The monomer is obtained from carbon tetrachloride | 1 | Chemistry |
The AM of two given positive number is
3. If the larger number is increased by 1 the GM of a numbers becomes equal to
AM of the given numbers. Then the HM of the given numbers is
A \( \cdot \frac{3}{2} \)
B. \( \frac{2}{3} \)
\( c \cdot \frac{1}{2} \)
D. None of these | 2 | Maths |
An emf of \( 15 V \) is applied in a circuit of inductance \( 5 H \) and resistance \( 10 \Omega \)
The ratio of currents flowing at \( t=\infty \)
and \( t=1 s \) will be
A \( \cdot 1-e^{-1} \)
B \( \cdot e^{-1} \)
c. \( \frac{e^{2}}{e^{2}-1} \)
D. \( \frac{e^{1 / 2}}{e^{1 / 2}-1} \) | 3 | Physics |
If one litre of air is passed repeatedly
over heated copper and magnesium till no further reduction in volume takes
place, the volume finally obtained would be approximately:
A. 800 m!
B. 200 m
c. \( 10 \mathrm{ml} \)
D. 20 m | 1 | Chemistry |
What make(s) water conducting?
A. Salts
B. Hydrogen
c. oxygen
D. None of the above | 1 | Chemistry |
Oxidation number of \( \boldsymbol{F} \) in \( \boldsymbol{H} \boldsymbol{F} \)
\( A \cdot+1 \)
B. - -
\( c \cdot 0 \)
\( D \cdot+2 \)
\( E \cdot+3 \) | 1 | Chemistry |
Which reaction sequence below can
convert \( p \) -bromoaniline into \( p \)
bromophenol?
\( A \)
\[
\mathbf{h}_{2} \mathrm{N}-\langle\sqrt{\quad}\rangle=\mathrm{Br} \frac{\mathrm{NaNO}_{2}}{\mathrm{HCl}, \mathrm{H}_{2} \mathrm{O}, 0^{\circ} \mathrm{C}}
\]
B.
\( c \)
\( \mathrm{H}_{2} \mathrm{N} \longrightarrow\langle\underbrace{\mathrm{o}}_{\mathrm{Pyridine}} \mathrm{N}_{2} \mathrm{O}=\frac{\mathrm{NaOH}}{\mathrm{B}} \)
\( D \) | 1 | Chemistry |
Number of chromosomes in an
angiospermic plant is \( 14 . \) Number of chromosomes in synergid cells will be
A . 28
B . 21
c. 14
D. | 0 | Biology |
One mole of an ideal monatomic gas undergoes the following four reversible
processes:
Step1 - it is first compressed adiabatically from volume \( 8.0 m^{3} \) to
\( 1.0 m^{3} \)
Step 2 - then expanded isothermally at temperature \( T_{1} \) to volume \( 10.0 m^{3} \)
Step3 - then expanded adiabatically to
volume \( 80.0 m^{3} \)
Step 4 - then compressed isothermally
at temperature \( T_{2} \) to volume \( 8.0 m^{3} \)
Then \( \boldsymbol{T}_{\mathbf{1}} / \boldsymbol{T}_{\mathbf{2}} \) is
A .2
B. 4
\( c .6 \)
D. | 3 | Physics |
For the reaction \( \boldsymbol{R} \rightarrow \boldsymbol{P}, \) the
concentration of a reactant changes from \( 0.03 \mathrm{M} \) to \( 0.02 \mathrm{M} \) in 25 minutes. Calculate the average rate of reaction both in minutes and seconds. | 1 | Chemistry |
Matte is a mixture of :
\( \mathbf{A} \cdot C u_{2} S+F e S(\mathrm{small} \text { amount }) \)
B \( \cdot F e S+C u_{2} S \) (small amount)
\( \mathrm{c} \cdot \mathrm{Cu}_{2} \mathrm{O}+\mathrm{FeO} \) (small amount)
D. \( F e O+C u_{2} O \) (small amount) | 1 | Chemistry |
Density of a gas is found to be 5.46 \( \mathrm{gm} / \) lit at \( 27^{\circ} \mathrm{C} \) and 2 atm pressure. what will be its density at STP?
A. 3 gm/lit
B. 2 gm/lit
c. \( 1.5 \mathrm{gm} / \) lit
D. \( 1 \mathrm{gm} / \) lit | 1 | Chemistry |
Living organisms on the Earth have evolved gradually from one form to another over the million years. This
statement was given by
A. Darwin
B. Robert Hook
c. Linneaus
D. None of the above | 0 | Biology |
An element X occurs in short period
having configuration \( n s^{2} n p^{1} . \) What is the formula and nature of its oxide? | 1 | Chemistry |
(A) : Newton's corpuscular theory of light could not explain refraction of light.
(B) : Huygen's wave theory fails to
explain polarization property of light.
A. A is true B is false
B. A is false B is true
c. Both \( A \) and \( B \) are true
D. Both A and B are false | 3 | Physics |
Which of the following pairs has the
same size?
A. \( Z n^{2+}, H f^{4} \)
B. \( F e^{2+}, N i^{4+} \)
\( \mathbf{c} \cdot Z n^{4+}, T i^{4+} \)
D. \( Z r^{4+}, H i^{4+} \) | 1 | Chemistry |
An equiconcave diverging lens of local length \( F \) is cut into two equal halves.
The two halves are turned around the
joined with some liquid between them.
The lens obtained is converging with focal length \( F \). If the refractive index of
the liquid is 3 then what is the refractive index of the lens?
\( A \cdot 4 \)
B. 2
\( c \)
D. 1.5 | 3 | Physics |
If the angle of incidence is \( 50^{\circ} \)
then calculate the angle between the incidence ray and the reflected ray.
A .50
B. 100
c. \( 130^{\circ} \)
D. \( 80^{\circ} \) | 3 | Physics |
If \( \cos \theta=-\frac{3}{5}, \pi^{c}<\theta<\frac{3 \pi^{c}}{2}, \) find the
value of \( \frac{\csc \theta+\cot \theta}{\sec \theta-\tan \theta} \) | 2 | Maths |
In which of the compound sulphur exhibits an oxidation state of \( -2 ? \)
A. \( H_{2} S \)
B. \( S O_{2} \)
\( \mathbf{c} \cdot H_{2} S_{2} O_{3} \)
D. \( H_{2} S O_{5} \) | 1 | Chemistry |
Detergents used for cleaning clothes and utensils contain?
A. bicarbonates
B. sulphonates
c. nitrates
D. bismuthates | 1 | Chemistry |
What is salting out of soap?
A. Formation of salt
B. Formation of acids in aqueous medium
C. Melting if soap
D. Precipitation of soap in solid form | 1 | Chemistry |
What is the source of receptor proteins?
A. Interior of a cell
B. Cell wall
C. Out of cell wall
D. Fixed in the cell membrane partially inside and partially projected outward | 1 | Chemistry |
Convert \( \left(\frac{5 \pi}{6}\right)^{c} \) into degrees. | 2 | Maths |
A body is projected at \( t=0 \) with a
velocity \( 10 m s^{1} \) at an angle of 60 with
the horizontal.The radius of curvature of
its trajectory at \( t=1 s \) is \( R . \) Neglecting
air resistance and taking acceleration due to gravity \( g=10 \) ms2, the value of
\( \boldsymbol{R} \) is :
A \( .2 .4 m \)
B. \( 10.3 m \)
\( c .2 .8 m \)
D. \( 5.1 \mathrm{m} \) | 3 | Physics |
The blue zone in an LPG flame indicates:
A. unburnt vapours
B. partial decomposition
c. moderately hot
D. hottest and complete combustion | 1 | Chemistry |
The mass of a beaker is found to be
\( \mathbf{1 0 . 1} \pm \mathbf{0 . 1} \) ) gm when empty and
\( (17.3 \pm 0.1) g m \) when partially filled
with a liquid. What is the best value for the mass of the liquid together with the possible limits of accuracy?
A \( .(7.2 \pm 0.2) g m \)
в. \( (7.2 \pm 0.1) g m \)
\( \mathbf{c} .(7.1 \pm 0.2) g m \)
D. \( (7.2 \pm 0.3) g m \) | 3 | Physics |
Two cars \( A \) and \( B \) are running at
velocities of \( 60 \mathrm{km} h^{-1} \) and \( 45 \mathrm{km} h^{-1} \)
What is the relative velocity of car \( A \) with respect to car \( \mathrm{B} \), if both are moving eastward?
A \( \cdot 15 \mathrm{km} h^{-1} \)
B. \( 45 \mathrm{km} h^{-1} \)
\( c \cdot 60 \mathrm{km} h^{-1} \)
D. \( 105 \mathrm{km} h^{-1} \) | 3 | Physics |
Number of solutions of equation \( 5 x+ \)
\( 20 x-3 x=7 \) are
\( \mathbf{A} \cdot \mathbf{1} \)
B. 10
\( c .9 \)
D. | 2 | Maths |
The "lock and key" model of enzyme action illustrates that a particular
enzyme molecule
A. May be destroyed and resynthesised several times.
B. Interacts with a specific type of substrate molecule
c. Reacts at identical rates under all conditions
D. Forms a permanent enzyme -substrate complex | 0 | Biology |
In an LCR circuit having \( \mathrm{L}=\mathbf{8 H}, \mathbf{C}= \)
\( 0.5 \mu F \) and \( R=100 \Omega \) in series, the
resonance frequency rad/s is?
A. 600
в. 200
c. \( 250 / \pi \)
D. 500 | 3 | Physics |
The vapour pressure of pure water at
\( 20^{\circ} C \) is \( 20 \mathrm{mm} \) Hg. A solution of
sucrose whose molar mass is 342
g/mole is prepared by dissolving 75 gof it in 1000 g of water. The relative lowering of the vapor pressure of the solution was measured as \( 0.0039 . \) What
is the vapour pressure of the solution when the solute was added?
A. \( 14.660 \mathrm{mm} \)
B. \( 10.005 \mathrm{mm} \)
c. \( 25.220 \mathrm{mm} \)
D. \( 19.922 \mathrm{mm} \) | 1 | Chemistry |
The first excitation potential energy or the minimum energy required to excite the atom from ground state of hydrogen
atom is
A. 13.6 eV
B. 10.2 eV
c. \( 3.4 e V \)
D. \( 1.89 \mathrm{eV} \) | 3 | Physics |
Two elements \( P(\text { at.wt. } 39) \) and \( Q \) (at.wt
80) contain 20 and 45 neutrons
respectively in their nucleus:
What type of bonds are \( \boldsymbol{P}-\boldsymbol{Q} \) and \( \boldsymbol{Q}- \)
\( Q ? \)
A. \( P-Q \) bond is Covalent and \( Q-Q \) bond is covalent.
B. \( P-Q \) bond is ionic and \( Q-Q \) bond is covalent
c. \( P-Q \) bond is Covalent and \( Q-Q \) bond is metallic.
D. \( P-Q \) bond is ionic and \( Q-Q \) bond does not form. | 1 | Chemistry |
n a thin spherical fish bowl of radius
\( 10 \mathrm{cm} \) filled with water of refractive
ndex \( \frac{4}{3}, \) there is a fish at a distance of
\( 4 \mathrm{cm} \) there is a small fish at a distance
of \( 4 \mathrm{cm} \) form the center \( C \) as shown. The
mage of the fish appears, when seen
from the point \( D \) would be
\( A \cdot 5.2 \mathrm{cm} \)
в. 4.8 ст
\( c .2 .6 \mathrm{cm} \)
\( 0.7 .4 \mathrm{cm} \) | 3 | Physics |
A rod lies across frictionless rails in a
uniform magnetic field \( \vec{B} \) as shown in
figure. The rid moves to the right with speed \( V . \) In order to make the induced
emf in the circuit to be zero, the
magnitude of the magnetic field should
A. not change
B. increase linearly with time
c. decrease linearly with time
D. decrease nonlinearly with time
E. answer required | 3 | Physics |
Bakelite is a
A. phenol-formaldehyde resin
B. phenol-acetaldehyde resin
C . phenol-propanaldehyde resin
D. resin in alcohol | 1 | Chemistry |
A uniform circular disc placed on a
rough horizontal surface has initially
velocity \( v_{0} \) and an angular velocity \( \omega_{0} \) as
shown in the figure. The disc comes to
rest after moving some distance in the direction of motion. Then \( \frac{v_{0}}{r \omega_{0}} \) is
A . \( 1 / 2 \)
B.
\( c \cdot 3 / 2 \)
D. 2 | 3 | Physics |
The Sl unit of electric flux is
\( \begin{array}{ll}\text { A. } N & C^{-1} m^{2} \\ \end{array} \)
\( \begin{array}{lll}\text { В. } N & C & m^{-2}\end{array} \)
\begin{tabular}{ll}
c. \( N \) & \( C^{-2} m^{2} \) \\
\hline
\end{tabular}
D. \( N \quad C^{-1} m^{-2} \) | 3 | Physics |
A certain radioactive material can
undergo three different types of decay, each with a different decay constant \( \lambda, 2 \lambda \) and \( 3 \lambda . \) Then, the effective decay
constant \( \lambda_{e f f} \) is
\( A \cdot 6 \lambda \)
B. \( 4 \lambda \)
\( c \cdot 2 \lambda \)
D. \( 3 \lambda \) | 3 | Physics |
Calculate \( \left(\frac{\mathbf{3} \boldsymbol{x}}{\boldsymbol{x}+\mathbf{5}}\right) \div\left(\frac{\mathbf{6}}{\mathbf{4} \boldsymbol{x}+\mathbf{2 0}}\right) \)
given that \( \boldsymbol{x} \neq-\mathbf{5} \)
\( \mathbf{A} \cdot 2 x \)
в. \( \frac{x}{2} \)
c. \( \frac{9 x}{2} \)
D. \( 2 x+4 \) | 2 | Maths |
Construct a right-angled triangle whose
base is \( 12 \mathrm{cm} \) and the sum of its
hypotenuse and another side is \( 18 \mathrm{cm} \) | 2 | Maths |
Draw the number line and represent the following rational numbers on it:
\( \frac{3}{4} \) | 2 | Maths |
Which is correct about \( \Delta G ? \)
This question has multiple correct options
\( \mathbf{A} \cdot \Delta G=\Delta H-T \Delta G \)
B. at equilibrium, \( \Delta G^{\ominus}=0 \)
C . at equilibrium \( \Delta G=-R T l o g K \)
\( \mathbf{D} \cdot \Delta G=\Delta G^{\ominus}+R T \log K \) | 1 | Chemistry |
\( f t_{n}=3 n+5, \) then find A.P. | 2 | Maths |
A uniform rod of mass \( M \) and length \( L \)
is pivoted at one end such that it can
rotate in a vertical plane. There is negligible friction at the pivot. The free end of the rod is held vertically above the pivot and then released. The angular
acceleration of the rod when it makes
an angle \( \theta \) with the vertical is
\( \mathbf{A} \cdot g \sin \theta \)
B.
\( c \)
D. \( 6 q L \sin \theta \) | 3 | Physics |
\( K_{m} \) value of enzyme is substrate
concentration at
A \( \cdot 1 / 4 V_{\max } \)
B. \( 2 V_{\max } \)
c. \( 1 / 2 V_{\max } \)
D. \( 4 V_{\max } \) | 0 | Biology |
What is rectification? With relevant
circuit diagram and waveforms explain
the working of a P-N junction diode as a full-wave rectifier. | 3 | Physics |
The rate of a reaction quadruples when
the temperature changes from 300 to
310K. What is the activation energy of
this reaction?
(Assume activation energy and preexponential factor are independent of temperature ; \( \ln 2=0.693 ; \mathrm{R}=8.314 \)
\( \left.\boldsymbol{m o l}^{-1} \boldsymbol{K}^{-1}\right) \) | 1 | Chemistry |
Solve the following pair of equations by cross multiplication rule.
\( \frac{x}{a}+\frac{y}{b}=0, \frac{x}{a}-\frac{y}{b}=4 \)
A. \( x=2 a, y=-2 b \)
в. \( x=-3 a, y=-b \)
c. \( x=a, y=2 b \)
D. None of these | 2 | Maths |
For a sustained chain reaction, the reproduction factor should be:
A . zero
B. one
c. two
D. three | 3 | Physics |
An integer is chosen at random from the
first 200 numbers.What is the
probability that the integer chosen is divisible by 6 or 8. | 2 | Maths |
The phosphorus present in an organic compound of mass \( 0.2 \mathrm{g} \) is oxidized to phosphoric acid by heating with fuming nitric acid. The phosphoric acid so obtained is precipitated as
\( M g N H_{4} P O_{4}, \) which on ignition is
converted into \( M g_{2} P_{2} O_{7} \). If the mass of
\( M g_{2} P_{2} O_{7} \) is \( 0.1 \mathrm{g} \), the percentage composition of phosphorus present in the sample of the organic compound is:
A . 12.96
в. 13.96
\( c \cdot 14.96 \)
D. 11.96 | 1 | Chemistry |
In a cathode ray tube, what is the effect on the beam of particles if a hotter filament is used?
A. Rate of electron emission remains unchanged
B. Rate of electron emission decreases
c. Rate of electron emission increases
D. Rate of electron emission increases then decreases | 3 | Physics |
If the function \( f(x)=\frac{a x+b}{(x-1)(x-4)} \)
has a local maxima at \( (2,-1), \) then
A. \( b=1, a=0 \)
В. \( a=1, b=0 \)
c. \( b=-1, a=0 \)
D. \( a=-1, b=0 \) | 2 | Maths |
Which of the following metals are extracted by electrolytic reduction? This question has multiple correct options
A. \( C u \)
в. \( A l \)
\( \mathrm{c} \cdot M g \)
D. \( A g \) | 1 | Chemistry |
In a biprism experiment, the distance of 20 th bright bandfrom the center of the
interference pattern is \( 8 \mathrm{mm} . \) The distance of 30 th bright band from the center is
A . \( 11.8 \mathrm{mm} \)
B. 12mm
c. \( 14 \mathrm{mm} \)
D. \( 16 \mathrm{mm} \) | 3 | Physics |
Respiratory distress syndrome occur in patients which lack
A . Larynx
B. Dipalmitoy| lecithin
c. surfactant
D. Both b and c | 0 | Biology |
A particle moves along the \( x \) -axis obeying the equation \( \boldsymbol{x}=\boldsymbol{t}(\boldsymbol{t}-\mathbf{1})(\boldsymbol{t}- \)
2), where \( x \) is in meter and \( t \) is in
second
Find the acceleration of the particle when its velocity is zero. | 2 | Maths |
Temporary hardness of water is removed in Clark's process by adding:
A. caustic soda
B. calgon
c. borax
D. lime | 1 | Chemistry |
Assertion
The images formed by total internal reflections are much brighter than those formed by mirrors or lenses
Reason
There is no loss of intensity in total
internal reflection.
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 |
The percentage of s-character of the hybrid orbital of \( C \) involved in the bond
formation of \( >\boldsymbol{C}=\boldsymbol{C}<\mathbf{i s} \)
A . \( 25 \% \)
B. 50\%
c. \( 33.33 \% \)
D. 100\% | 1 | Chemistry |
If a mirror reverses right and left, why
does not it reverse up and down? | 3 | Physics |
What will be the reduction potential for the following half-cell reaction at \( 298 \mathrm{K} ? \)
(Given: \( \left[\boldsymbol{A} \boldsymbol{g}^{+}\right]=\mathbf{0 . 1} \mathbf{M} \) and \( \boldsymbol{E}_{c e l l}^{o}=+\mathbf{0 . 8 0} \)
\( \mathbf{V}) \)
A . \( 0.741 \mathrm{v} \)
B. \( 0.80 v \)
c. \( -0.80 v \)
D. \( -0.741 \mathrm{V} \) | 1 | Chemistry |
Why must both the \( f_{0} \) and the \( f_{e} \) of \( a \) compound microscope have short focal length? | 3 | Physics |
Which of the following is called as natural water purifier?
A. Bacteria
B. Algae
c. Protozoa
D. Virus | 0 | Biology |
Find the sum of the following \( \boldsymbol{A P} \) \( \frac{1}{15}, \frac{1}{12}, \frac{1}{10}, \dots ., \) to 11 terms | 2 | Maths |
What is the colour of a solution of
\( \mathbf{A l}_{2}\left(\mathbf{S O}_{4}\right)_{3} \) in water?
A. blue
B. pink
c. green
D. colourless | 1 | Chemistry |
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