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A car is traveling in plane curved road of radius 125 m. If the coefficient of
friction between the tyres and road is
0.5 and \( g=10 m / s^{2} . \) The maximum
speed to avoid skidding is:
A . \( 50 \mathrm{m} / \mathrm{s} \)
в. \( 25 \mathrm{m} / \mathrm{s} \)
c. \( 20 m / s \)
D. 10 \( m / s \)
| 3 |
Physics
|
Ocean thermal energy is due to
A. temperature difference at different levels in the ocean
B. tides in the ocean
C . energy stored by the water waves
D. pressure different at different levels in the ocean
| 3 |
Physics
|
In figure, if the current \( i \) decreases at a
rate \( \alpha, \) then \( V_{A}-V_{B} \) is
A. zero
в. \( -\alpha L \)
\( c \cdot \alpha L \)
D. No relation exists
| 3 |
Physics
|
A reaction in which there is a transfer of
electrons from one reactant to another
is called a (combustion/redox) reaction.
| 1 |
Chemistry
|
Find the value of \( x \) and \( y \). (Use
Pythagoras theorem)
A \( . x=12 \) and \( y=3 \)
3. \( x=10 \) and \( y=5 \)
c. \( x=12 \) and \( y=5 \)
\( x=11 \) and \( y=5 \)
| 2 |
Maths
|
Which type of hybridsation is present in carbon atom in fullerence?
| 1 |
Chemistry
|
Pressure depends on distance as, \( \mathbf{p}= \) \( \frac{\boldsymbol{\alpha}}{\boldsymbol{\beta}} \exp \left(-\frac{\boldsymbol{\alpha} \mathbf{z}}{\mathbf{k} \boldsymbol{\theta}}\right), \) where \( \boldsymbol{\alpha}, \boldsymbol{\beta} \) are constants
\( \mathbf{z} \) is distance, \( \mathbf{k} \) is Boltzman's constant
and \( \theta \) is temperature. The dimension of
\( \beta \) are
\( \mathbf{A} \cdot \mathbf{M}^{o} \mathrm{L}^{o} \mathrm{T}^{o} \)
B. \( \mathrm{M}^{-1} \mathrm{L}^{-1} \mathrm{T}^{-1} \)
c. \( \mathrm{M}^{\circ} \mathrm{L}^{2} \mathrm{T}^{\circ} \)
D. \( \mathrm{M}^{-1} \mathrm{L}^{1} \mathrm{T}^{2} \)
| 3 |
Physics
|
Choose the correct answers from the
alternatives given :
In alcoholic fermentation is the final
acceptor of the electrons stripped from glucose.
A. sulphate
B. pyruvate
c. acetaldehyde
D. oxygen
| 0 |
Biology
|
Let \( a, b, c, d \) and \( e \) be the observations
with mean \( m \) and standard deviation \( S \)
The standard deviation of
the observations \( a+k, b+k, c+k, d+ \)
\( k \) and \( e+k \) is
| 2 |
Maths
|
All halogenoalkanes contain a halogen
atom - fluorine, chlorine, bromine or
iodine - attached to a/an \( _{--}- \) group.
A . alky
B. aryl
c. benzyl
D. benzylic
| 1 |
Chemistry
|
Near and far points of healthy human eye respectively are:
A. \( 0,25 \mathrm{cm} \)
B. \( 0, \) infinity
\( \mathrm{c} .25 \mathrm{cm}, 100 \mathrm{cm} \)
D. \( 25 c m \), infinity
| 3 |
Physics
|
\( \mathbf{2} \boldsymbol{A} \boldsymbol{l}\left(\boldsymbol{N} \boldsymbol{O}_{3}\right)_{3} \stackrel{\boldsymbol{\Delta}}{\rightarrow} \boldsymbol{A} \boldsymbol{l}_{2} \boldsymbol{O}_{3}+\boldsymbol{6} \boldsymbol{N} \boldsymbol{O}_{3}+ \)
\( \mathbf{1 . 5 0}_{\mathbf{2}} \)
If reaction is correct enter 1 else 0
| 1 |
Chemistry
|
A card is thrown from a pack of 52 cards
so that each cards equally likely to be selected. In which of the following cases are the events \( A \) and \( B \) independent?
| 2 |
Maths
|
Which of the following charging methods work without ever touching the object to be charged to the object used to charge it?
A. charging by friction
B. charging by contact
c. charging by induction
D. all of these
| 3 |
Physics
|
Auto-reduction is employed in the
metallurgy of :
A. \( H g \)
в. \( A l \)
c. \( T i \)
D. \( Z n \)
| 1 |
Chemistry
|
The area of rectangle of size \( 1.23 \mathrm{cm} \times \)
\( 2.345 \mathrm{cm} \) is ?
A. \( 2.88 c m^{2} \)
2
B . \( 2.884 c m^{2} \)
\( \mathrm{c} \cdot 2.9 \mathrm{cm}^{2} \)
D . \( 2.88435 \mathrm{cm}^{2} \)
| 3 |
Physics
|
What does the slope of V-I graph for a conductor represent?
A. Capacitance
B. Power
c. Inductance
D. Resistance
| 3 |
Physics
|
What are the value of \( c \) for which Rolle's
theorem for the function \( f(x)=x^{3}- \)
\( 3 x^{2}+2 x \) in the interval [0,2] is
verified?
A \( . c=\pm 1 \)
B. \( _{c=1 \pm \frac{1}{\sqrt{3}}} \)
c. \( c=\pm 2 \)
D. None of these
| 2 |
Maths
|
A field is in the shape of a trapezium
whose parallel sides are \( 25 m \) and \( 13 m \) The non-parallel sides are \( 10 m \) and
10 \( m . \) Find the area of the field.
| 2 |
Maths
|
The potential energy (in Sl units) of a particle of mass \( 2 k g \) in a conservative
field is \( U=6 x-8 y . \) If the initial velocity of the particle is \( \vec{u}=-1.5 \hat{i}+ \) \( 2 \hat{j} \) then the total distance travelled by
the particle in first two seconds is:
A. \( 10 \mathrm{m} \)
B. 12m
\( c .15 \mathrm{m} \)
D. 18m
| 3 |
Physics
|
The range of the function \( f(x)= \)
\( \log _{e}\left(3 x^{2}-4 x+5\right) \)
\( ^{A} \cdot\left(-\infty, \log _{e} \frac{11}{3}\right] \)
B. \( \quad\left[\log _{e} \frac{11}{3}, \infty\right) \)
c. \( \left[-\log _{e} \frac{11}{3}, \log _{e} \frac{11}{3}\right. \)
D. None of these
| 2 |
Maths
|
A liquid boils at such a temperature at which the saturated vapour pressure, as compared to atmospheric pressure, is
A. one-third
B. equal
c. half
D. doubl
| 1 |
Chemistry
|
If an object is placed in a tunne running through the Earths centre, it does simple harmonic motion. Calculate the time period for this. If radius of Earth is \( 6.4 \times 10^{6} m \) and
\( \operatorname{mass} \) is \( 6 \times 10^{24} k g \)
| 3 |
Physics
|
Alka was making tea in a kettle. Suddenly she felt intense heat from the puff of steam gushing out of the spout of the kettle. She wondered whether the
temperature of the steam was higher than that of the water boiling in the
kettle. Comment.
| 3 |
Physics
|
Describe the role of the following in metallurgy:
lime Stone in blast furnace
| 1 |
Chemistry
|
If soldiers had the options to use guns of different weights but the bullets used are of a fixed weight, what would they
prefer and why?
A. Light guns, because handling them is easy
B. Heavy guns, because they can be held firmly
c. Heavy guns because they have less recoil
D. Light guns, because they can be carried easily
| 3 |
Physics
|
has an inductor of inductance \( L \) and a
resistor of resistance it connected in
series. Using the phasar diagram,
explain why the voltage in the circuit
will lead the current in phase.
(b) The potential difference across the
resistor is \( 160 \% \) and that across the
inductor is \( 120 V . \) Find the effective
value of the applied voltage. If the
effective current in the circuit be \( 1.0 A \)
calculate the total impedance of the circuit.
(c) What will be the potential difference
in the circuit when direct current is
passed through the circuit??
| 3 |
Physics
|
On passing \( 0.5 \mathrm{F} \) of electricity through molten sodium chloride, sodium deposited at cathode will be
A . \( 29.25 g \)
в. \( 11.50 g \)
c. \( 58.50 g \)
D. \( 0.00 g \)
| 1 |
Chemistry
|
A student conducted an experiment and obtained three values during three repetitive trials: \( 1.65,1.68,1.71 . \) Later, the student discovered that the true value
was \( 2.37 . \) In contrast to the real value,
the experimental results should be characterized as:
A. not accurate and not precise
B. accurate but not precise
c. not accurate but precise
D. accurate and precise
E. accurate, precise, but unrealiable
| 1 |
Chemistry
|
Pressure cannot be measured in:
\( \mathbf{A} \cdot \mathbf{N} m^{-2} \)
B. bar
c. Ра
D. kg wt tt
| 3 |
Physics
|
If a particle is thrown with velocity more than \( 10 m / s \) vertically upward, then the distance traveled by the particle in last second of its ascent is:
\( \mathbf{A} \cdot g \)
в. \( \frac{g}{2} \)
c. \( \frac{g}{4} \)
D. \( \frac{g}{8} \)
| 3 |
Physics
|
In a hypothetical H-atom the mass of
electron \( \& \) its charge is double of what we consider calculate the total energy
(in eV) of electron in the \( 1^{s t} \) orbit of such
a hypothetical H-atom?
| 1 |
Chemistry
|
Which family is represented by the largest number of species in Indian
flora?
A. Gramineae
B. Leguminosae
c. orchidaceae
D. Solanaceae
| 0 |
Biology
|
In which of the following pairs, hydrogen bonding is not possible?
A. \( N H_{3}, N H_{3} \)
в. \( N H_{3}, C H_{4} \)
с. \( H_{2} O, C H_{3} O H \)
D. \( H F, H_{2} O \)
| 1 |
Chemistry
|
A fly wheel of moment of inertia lis rotating at n revolutions per sec. The work needed to double the frequency would be -
\( \mathbf{A} \cdot 2 \pi^{2} I n^{2} \)
В. \( 4 \pi^{2} I n^{2} \)
\( \mathbf{c} \cdot 6 \pi^{2} I N^{2} \)
D. \( 8 \pi^{2} I n^{2} \)
| 3 |
Physics
|
How the adolescents gets safe and
nurturing environment?
| 0 |
Biology
|
Assertion
If the current in a solenoid is reversed in
direction while keeping the same magnitude, the magnetic field energy stored in the solenoid decreases.
Reason
Magnetic field energy density is proportional to square of current
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
|
The equation of directrix and latus
rectum of a parabola are \( 3 x-4 y+ \)
\( 27=0 \) and \( 3 x-4 y+2=0 . \) Then the
length of latus rectum is
\( \mathbf{A} \cdot \mathbf{5} \)
B . 10
c. 15
D. 20
| 2 |
Maths
|
Using the principle of mathematical induction, find \( \tan \alpha+2 \tan 2 \alpha+ \)
\( 2^{2} \tan 2^{2} \alpha+\ldots . \) to \( n \) terms:
A \( \cdot \tan \alpha-2^{n} \cdot \tan \left(2^{n} \cdot \alpha\right) \)
B. \( \cot \alpha-2^{n} \cdot \cot \left(2^{n} \cdot \alpha\right) \)
c. \( \sec \alpha-2^{n} \cdot \sec \left(2^{n} \cdot \alpha\right) \)
D. None of these
| 2 |
Maths
|
Identify the equation used to determine the amount of heat required to melt
10 grams of ice:
A \( \cdot Q=m C_{s p} \Delta T \)
в. \( Q=n \triangle H \)
c. \( K E=\frac{1}{2} m v^{2} \)
D. \( P E=m g h \)
E . \( P V=n R T \)
| 1 |
Chemistry
|
A disc is rotated about its axis with a
certain angular velocity and lowered
gently on a rough inclined plane as
shown in figure, then
A. It will rotate at the position where it is placed and then will move downwards
B. It will go downwards just after it is lowered
c. It will go downwards first and then climb up
D. It will climb upwards and then move downwards
| 3 |
Physics
|
If the far point of a myopic person is 75 \( \mathrm{cm}, \) what should be the focal length of
the lens used to rectify this defect?
| 3 |
Physics
|
Define the magnifying power of a compound microscope when the final image is formed at infinity. Why must both the objective and the eyepiece of a compound microscope have short focal lengths? Explain.
| 3 |
Physics
|
Polymers can be classified based on
molecular forces.
(a) Classify the following polymers into elastomers and fibres:
Rubber, Nylon 6,6, Buna-S, Terylene
(b) What do you mean by thermosetting polymers? Give one example.
| 1 |
Chemistry
|
Which one of the following is limiting
rate of photosynthesis in nature
A. Light
в. \( C O_{2} \)
\( c \cdot O_{2} \)
D. chlorophyll
| 0 |
Biology
|
The angle made by the tangent line at (1
3) on the curve \( y=4 x-x^{2} \) with \( \overline{O X} \) is
\( A \cdot \tan ^{-1} 2 \)
B. \( \tan ^{-1}(1 / 2) \)
\( c \cdot \tan ^{-1}-2 \)
D. None of these
| 2 |
Maths
|
If no force acts on a body, then what will
happen to it?
A. It does not change its shape.
B. It continues to move but with less speed.
c. It changes its direction.
D. It can either remain at rest or continue to move in a straight line.
| 3 |
Physics
|
Point masses 1,2,3 and \( 4 k g \) are lying at the points (0,0,0),(2,0,0),(0,3,0) and (-2,-2,0) respectively. The moment of inertia of this system about x-axis will
be:
A \( \cdot 43 k g-m^{2} \)
B . \( 34 \mathrm{kg}-\mathrm{m}^{2} \)
c. \( 27 \mathrm{kg}-\mathrm{m}^{2} \)
D. \( 72 \mathrm{kg}-\mathrm{m}^{2} \)
| 3 |
Physics
|
The \( \frac{B . E}{A} \) ratio for deuteron and \( \alpha \)
particle are \( X_{1} \) and \( X_{2} \) respectively. The energy released in the fusion of
deuteron into \( \alpha \) -particle is
\( \mathbf{A} \cdot 4\left(X_{2}-X_{1}\right) \)
B \( \cdot 2\left(X_{2}-X_{1}\right) \)
\( \mathbf{c} \cdot 4\left(X_{2}+X_{1}\right) \)
D. \( \frac{X_{2}-X 1}{4} \)
| 3 |
Physics
|
A firecracker exploding on the surface of a lake is heard as two sounds a time
interval \( t \) apart by a man on a boat close
to the water surface. Sound travels by a speed \( v \) in the air. The distance from the exploding firecracker to the boat is:
A \( \cdot \frac{u v t}{u+v} \)
в. \( \frac{t(u+v)}{u v} \)
c. \( \frac{t(u-v)}{u v} \)
D. \( \frac{u v t}{u-v} \)
| 3 |
Physics
|
Find the value of \( \cos ^{-1}\left(\cos \frac{5 \pi}{3}\right) \)
| 2 |
Maths
|
The reason for global warming is
A. Long wavelength radiation are absorbed by the atmosphere
B. Short wavelength radiation are absorbed by the atmosphere
C. Atmosphere traps radiations to increase the temperature
D. UV and infra red radiations
| 0 |
Biology
|
The pressure exerted by a liquid column of height h is given by (the symbols have their usual meanings).
\( ^{\mathrm{A}} \cdot \frac{h}{\rho g} \)
в. \( h \rho g \)
\( c \cdot \frac{h}{\rho} \)
D. \( h g \)
| 3 |
Physics
|
An element has 12 neutrons in its
nucleus. To which group of the periodic table it will belong?
\( A \)
B. 2
\( c \cdot 6 \)
D. Impossible to predict
| 1 |
Chemistry
|
\( \sin ^{-1}(\sin (4))=? \)
| 2 |
Maths
|
A car is traveling is blanked curved road
\( \operatorname{at} \theta=37^{\circ} \) of radius \( 125 \mathrm{m} \). If the
coefficient of friction between the tyres
and road is \( \mu=0.5 \) and \( g=10 m / s^{2} \)
The maximum speed to avoid skidding
is.
A. \( 50 \mathrm{m} / \mathrm{s} \)
B. 25 \( \mathrm{m} / \mathrm{s} \)
\( c \cdot 20 m / s \)
D. \( 10 \mathrm{m} / \mathrm{s} \)
| 3 |
Physics
|
The common name, "cream of tartar"
refers to:
\( \mathbf{A} \cdot K H C_{4} H_{4} O_{6} \)
\( \mathbf{B} \cdot K(S b O) C_{4} H_{4} O_{6} \)
\( \mathbf{c} \cdot K N a C_{4} H_{4} O_{6} \)
D. \( M g_{2}(O H)_{2}\left(C_{4} H_{4} O_{6}\right) H_{2} O \)
| 1 |
Chemistry
|
Show that the points \( A(1,2,7), B(2,6,3) \) and \( C(3,10,-1) \)
are collinear.
| 2 |
Maths
|
If \( f(x)=\int_{-1}^{x}|t| d t, x \geq-1, \) then
A. \( f \) and \( f^{\prime} \) are continuous for \( x+1>0 \)
B. \( f \) is continuous but \( f^{\prime} \) is not continuous for \( x+1>0 \)
\( \mathrm{c} \cdot f \) and \( f^{\prime} \) are not continuous at \( x=0 \)
D. \( f \) is continuous at \( x=0 \) but \( f^{\prime} \) is not so
| 2 |
Maths
|
Which row shows a quantity and an
incorrect unit?
\( \begin{array}{ll}\text { quantity } & \text { unit } \\ \text { A. efficiency } & \text { no unit } \\ \text { B. moment of force } & N m^{-1} \\ \text {C. momentum } & \text { Ns } \\ \text { D. work done } & \text { J }\end{array} \)
| 3 |
Physics
|
Given that \( -6 x=64-2(-x) \)
calculate the value of \( x \)
A . -8
B. -4
\( c \cdot 6 \)
D. 16
| 2 |
Maths
|
Solve the following inequality and show
it graphically:
\( \frac{\boldsymbol{x}+\mathbf{4}}{\boldsymbol{x}-\mathbf{3}}>\mathbf{0}, \boldsymbol{x} \in \boldsymbol{W} \)
\( ^{A} \cdot \underbrace{0}_{-3-2-1} \cdot 1,0 \)
в.
\( c_{1}+ \)\begin{tabular}{ccccccc}
\hline-5 & -4 & -3 & -2 & -1 & 0 & 1 & 2 & 3 & 4
\end{tabular}
| 2 |
Maths
|
The H. C. F. of 252,324 and 594 is
A . 36
B. 18
c. 12
D. 6
| 2 |
Maths
|
\( R-X \) bond polarity order is:
A. \( C-F>C-C l>C-B r>C-I \)
в. \( C-C l>C-F>C-B r>C-I \)
c. \( C-B r>C-F>C-I>C-C l \)
D. \( C-I>C-C l>C-B r>C-F \)
| 1 |
Chemistry
|
In effective resistance between \( C \) and \( B \)
is
A . \( 2 \Omega \)
B. 3\Omega
c. \( 1 \Omega \)
D.
| 3 |
Physics
|
Which are acidic salts?
\( \mathbf{A} \cdot N a H_{2} P O_{2}, N a_{2} H P O_{3} \)
B \( \cdot N a_{2} H P O_{3}, N a_{2} H P O_{4} \)
\( \mathbf{c} \cdot N a H C O_{3}, N a H_{2} P O_{4} \)
D. all of these
| 1 |
Chemistry
|
Gravitational potential energy of interaction of a system of two particles
of masses \( m_{1} \) and \( m_{2} \) separated by a
distance \( r \)
\( U=-\frac{G m_{1} m_{2}}{r} \)
| 3 |
Physics
|
Among \( \boldsymbol{C a} \boldsymbol{C l}_{2}, \boldsymbol{H}_{2} \boldsymbol{S} \boldsymbol{O}_{4} \) and \( \boldsymbol{C a O}, \) which
compound can be used for the drying of ammonia gas? Why?
| 1 |
Chemistry
|
Write minors and cofactors of the
elements of following determinants
(i) \( \left|\begin{array}{cc}2 & -4 \\ 0 & 3\end{array}\right| \)
(ii) \( \left|\begin{array}{ll}\boldsymbol{a} & \boldsymbol{c} \\ \boldsymbol{b} & \boldsymbol{d}\end{array}\right| \)
| 2 |
Maths
|
Consider the reaction: \( N_{2}+3 H_{2} \rightarrow \)
\( 2 N H_{3} . \) It is carried out at constant
temperature and pressure. If \( \Delta H \) and
\( \Delta U \) are the enthalpy and internal energy changes for the reaction respectively, then which of the following expression is true?
\( \mathbf{A} \cdot \Delta H>\Delta U \)
в. \( \Delta H<\Delta U \)
c. \( \Delta H=\Delta U \)
\( \mathbf{D} \cdot \Delta H=0 \)
| 1 |
Chemistry
|
A ray of light is incident on a plane
mirror and the angle of incidence is \( 25^{\circ} \)
What is the angle of reflection?
A. 0
B. \( 50^{\circ} \)
\( c .90^{\circ} \)
D. \( 25^{\circ} \)
| 3 |
Physics
|
Arrange the following in the increasing order of their basic character:
\( N H_{3}, P H_{3}, A S H_{3}, S b H_{3}, B i H_{3} \)
| 1 |
Chemistry
|
The question has a paragraph followed by two statements, Statement-1 and
Statement-2. Of the given four alternatives after the statements,
choose the one that describes the
statements.
A thin air film is formed by putting the convex surface of a piano-convex lens over a plane glass plate. With monochromatic light, this film gives an interference pattern due to light reflected from the top (convex) surface and the bottom (glass plate) surface of the film.
Statement 1: When light reflects from
the air-glass plate interface, the reflected wave suffers a phase change
of \( \pi \)
Statement 2: The centre of the
interference pattern is dark.
A. Both statements 1 and 2 are true and statement 2 is the correct explanation of statement 1.
B. Both statements 1 and 2 are true but statement 2 is not the correct explanation of statement 1
c. Statement 1 is true but statement 2 is false
D. Both statements 1 and 2 are false
| 3 |
Physics
|
If a specialised cell no longer divides, it is generally locked in which stage of the cell cycle?
A.
B.
\( \mathrm{c} \cdot G_{2} \)
D. \( G_{1} \)
| 0 |
Biology
|
Epithelial tissue with thin flat cells
appearing like packed tiles occur on
A. Inner lining of cheek
B. Inner lining of stomach
c. Inner lining of fallopian tubes
D. Outer surface of ovary
| 0 |
Biology
|
A 5 m potentiometer wire having \( 3 \Omega \) resistance per meter is connected to a storage cell of steady emf \( 2 V \) and internal resistance \( 1 \Omega . \) A primary cell is balanced against \( 3.5 m \) of it. When a resistance of \( \frac{32}{n} \Omega \) is put in series with the storage cell, the null point shifts to
the center of the last wire, i.e., 4.5 m.
What is 'n'?
| 3 |
Physics
|
Rekha borrowed Rs. 40,000 for 3 years
at \( 10 \% \) per annum compound interest. Calculate the interest earned in the
second year.
| 2 |
Maths
|
Two wires of diameter 0.25 cm. one
made of steel and the other made of
brass are loaded as shown in Fig. 9.13
The unloaded length of steel wire is
\( 1.5 m \) and that of load wire is \( 1.0 m \)
Compute the elongation of the steel and
the brass wires.
| 3 |
Physics
|
The range of \( \left|\tan ^{-1} x\right| \) is
\( \mathbf{A} \cdot\left[0, \frac{\pi}{2}\right] \)
В. \( \left[0, \frac{\pi}{2}\right) \)
c. \( \left(0, \frac{\pi}{2}\right) \)
D. \( \left(\frac{-\pi}{2}, \frac{\pi}{2}\right) \)
| 2 |
Maths
|
Internal energy of an ideal gas depends
on:
A. pressure
B. temperature
c. volume
D. none of these
| 1 |
Chemistry
|
A body of mass \( \mathrm{m} \) is kept on an inclined
plane of inclination \( 30^{0} \) to the
horizontal. If the angle of repose is \( 45^{0} \) static friction on the body is
A \( \cdot \frac{m g}{\sqrt{2}} \)
B. \( \frac{m g}{2} \)
\( \mathrm{c} \cdot \mathrm{mg} \)
D. \( \sqrt{2} m g \)
| 3 |
Physics
|
toppr
Q Type your question.
obtain expressions for impedance of the circuit and phase angle between voltage and current. Find the condition
when current will be in phase with the voltage. What is the circuit in this
condition called?
(ii) In a series LR circuit \( \boldsymbol{X}_{L}=\boldsymbol{R} \) and
power factor of the circuit is \( P_{1} \). When
capacitor with capacitance C such that
\( X_{L}=X_{C} \) is put in series, the power
factor becomes \( P_{2} \). Calculate \( P_{1} / P_{2} \)
OR
(i) Write the function of transformer.
state its principle of working with the help of a diagram. Mention various energy losses in this device.
(ii) The primary coil of an ideal step up transformer has 100 turns and
transformation ratio is also \( 100 . \) The
input voltage and power are respectively \( 220 \mathrm{V} \) and \( 1100 \mathrm{W} \). Calculate
(a) number of turns in secondary
(b) voltage across secondary
(c) current in primary
(d) current in secondary
(e) power in secondary
| 3 |
Physics
|
The wrong statement about colloids is:
A. colloids are heterogeneous mixture.
B. colloids show tyndall effect
C. colloids show Brownian movement
D. particle size in colloids is less than \( 1 \mathrm{nm} \).
| 1 |
Chemistry
|
Differentiate \( \boldsymbol{f}(\boldsymbol{x}) \) with respect to \( \boldsymbol{g}(\boldsymbol{x}) \)
for the following.
\( \boldsymbol{f}(\boldsymbol{x})=\log _{e} \boldsymbol{x}, \boldsymbol{g}(\boldsymbol{x})=\boldsymbol{e}^{\boldsymbol{x}} \)
| 2 |
Maths
|
Two bodies at different temperatures are kept in contact. If the body at higher temperature gets hotter than it violates which law of thermodynamics?
A. zeroth law of thermodynamics
B. First law of thermodynamics
c. second law of thermodynamics
D. Third law of thermodynamics
| 3 |
Physics
|
Which is called as Warburg's effect on photosynthesis?
A . Low rate of the process due to \( O_{2} \) supply
B. Low rate of the process due to \( C O_{2} \) supply
c. Both A and B
D. None of the above
| 0 |
Biology
|
What do all acids and bases have in
common?
| 1 |
Chemistry
|
Find the expansion \( \left(3 x^{2}-2 a x+3 a^{2}\right)^{3} \)
using binomial theorem.
| 2 |
Maths
|
Find the missing terms such that the given polynomial become a perfect square trinomial:
\[
-12 x+9
\]
| 2 |
Maths
|
What is the role of adsorption in froth floatation process used especially for
concentration of sulphide ores?
A. Shape selective catalysts
B. Adsorption of pine oil on sulphide ore particles
c. Adsorption of pine oil on impurities
D. Production of heat in the process of exothermic reaction
| 1 |
Chemistry
|
The number of value of \( x \) in \( [0,2 \pi] \)
satisfying the equation
\( |\cos x-\sin x| \geq \sqrt{2}, \) is
| 2 |
Maths
|
A cube has a side of length \( 1.2 \times \)
\( 10^{-2} \) m. Calculate its volume?
A \( \cdot 1.7 \times 10^{-6} \mathrm{m}^{3} \)
В. \( 1.73 \times 10^{-6} \mathrm{m}^{3} \)
c. \( 1.70 \times 10^{-6} \mathrm{m}^{3} \)
D. \( 1.732 \times 10^{-6} \mathrm{m}^{3} \)
| 3 |
Physics
|
Let \( \boldsymbol{f}(\boldsymbol{x})=\boldsymbol{a} \boldsymbol{x}^{2}+\boldsymbol{b} \boldsymbol{x}^{2}+\boldsymbol{c} \boldsymbol{x}+\boldsymbol{d} \) and
\( \boldsymbol{g}(\boldsymbol{x})=\boldsymbol{x}^{2}+\boldsymbol{x}-\boldsymbol{2} \)
If \( \lim _{x \rightarrow 1} \frac{f(x)}{g(x)}=1 \) and \( \lim _{x \rightarrow 2} \frac{f(x)}{g(x)}=4, \) then
find the value of \( \frac{c^{2}+d^{2}}{a^{2}+b^{2}} \)
| 2 |
Maths
|
\( \boldsymbol{f}: \boldsymbol{R} \rightarrow \boldsymbol{R} \) and \( \boldsymbol{f}(\boldsymbol{x})= \)
\( \frac{\boldsymbol{x}\left(\boldsymbol{x}^{4}+\mathbf{1}\right)(\boldsymbol{x}+\mathbf{1})+\boldsymbol{x}^{4}+\mathbf{2}}{\boldsymbol{x}^{2}+\boldsymbol{x}+\mathbf{1}}, \operatorname{then} \boldsymbol{f}(\boldsymbol{x}) \) is
A. one-one ito
B. many-one onto
c. one-one onto
D. many-one into
| 2 |
Maths
|
Three large plates are arranged as shown. How much charge will flow
through the key k if is closed?
A. \( \frac{5 Q}{6} \)
в. \( \frac{4 Q}{3} \)
\( c \cdot \frac{3 Q}{2} \)
D. None
| 3 |
Physics
|
litre of a sample of \( H_{2} \) is at \( 0^{\circ} C \) and 1
atm pressure.1 litre of another sample
of hydrogen is at \( 0^{\circ} \mathrm{C} \) and 2 atm
pressure. Kinetic energies of the gases are in the ratio of:
A \( \cdot 1: 2 \)
B. 2:1
c. 3:
D. 1:
| 1 |
Chemistry
|
The long stalk in the stamen is called
A. Pollen tube
B. Anther
c. style
D. Filament
| 0 |
Biology
|
Which of the following is considered as pioneer community in xerarch?
A. Annual herb
B. Perennial herb
c. Scrub stage
D. Lichen
| 0 |
Biology
|
To find the inverse of the matrix \( \boldsymbol{A}= \)
\( [121 ; 011 ; 311] \) by elementary
transformation method
| 2 |
Maths
|
Consider the sequence
\( 1,2,2,4,4,4,4,8,8,8,8,8,8,8,8, \dots \) and
so on. Then 1025 th terms will be
A \( \cdot 2^{9} \)
B . \( 2^{11} \)
\( c \cdot 2^{10} \)
D. \( 2^{12} \)
| 2 |
Maths
|
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