5 WORK, ENERGY AND POWER
Page 1
5.1 Work
The product of force and displacement ( in the direction of force ), during
which the force is acting, is defined as work.
When 1 N force is applied on a particle and the resulting displacement of the particle, in
Unit 7 Problem Set1: calculating a charge
Ocie Blackman
Charge A has a charge of +2C. Charge B has a charge of 3C and is located 1 meter to the right
of A. Charge C is located 1 meter to the right of Charge B and has a charge of 1C. If a fourth
charge (
14  PROBABILITY
Page 1
( Answers at the end of all questions )
(1)
Three houses are available in a locality. Three persons apply for the houses. Each
applies for one house without consulting others. The probability that all the three apply
for the same h
14  OSCILLATIONS
Page 1
14.1 Periodic and Oscillatory motion
Motion of a system at regular interval of time on a definite path about a definite point is
known as a periodic motion, e.g., uniform circular motion of a particle.
To and fro motion of a syste
PROBLEMS
14  INDEFINITE INTEGRATION
Page 1
( Answers at the end of all problems )
Integrate the following functions with respect to x:
(1)
2
4
x +x +1
2
x +1
(4)
2
log 1
2
(7)
(2)
1

x2 2
1
2
(8)
2
cos x sin x
1
( 10 )
( 11 )
x 1  x3
( 13 )
( 16 )
(
14  CURRENT ELECTRICITY
Page 1
( Answers at the end of all questions )
1)
In the circuit, the galvanometer G shows zero
deflection. If the batteries A and B have negligible
internal resistance, the value of the resistor R will
be
( a ) 100
( b ) 200
(
14  OSCILLATIONS
Page 1
1)
An oscillator having a mass of 0.2 kg is executing simple harmonic oscillations. After
th
of the original value. Find damping
100 oscillations the amplitude becomes 1 / 7
coefficient of this motion, if its periodic time is 2 se
13  ATOMS
Page 1
Introduction
i ) In 1895, Jean Perin proved that electrons ( known as cathode rays that time ) are
negatively charged.
ii ) Shortly thereafter, J. J. Thomson determined charge ( e ) to mass ( m ) ratio of electrons to
11
 11
be of the o
13  ELECTROSTATICS
Page 1
( Answers at the end of all questions )
1)
Two point charges + 8q and  2q are located at x = 0 and x = L respectively. The
location of a point on the x axis at which the net electric field due to these two point
charges is zero
PROBLEMS
13  APPLICATIONS OF DERIVATIVES
Page 1
( 1 ) Water seeps out of a conical filter at the constant rate of 5 cc / sec. When the height of
water level in the cone is 15 cm, find the rate at which the height decreases. The filter
is 20 cm high and t
12  DUAL NATURE OF RADIATION AND MATTER
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12.1 Birth of Modern Physics
By 1880, most physicists thought that important laws in physics were already discovered and
all that remained was their refined applications. During 1890 to 1920, new phenomena w
12  TRANSFERENCE OF HEAT
Page 1
( Answers at the end of all questions )
1)
The figure shows a system of two concentric spheres of radii r1 and
r2 and kept at temperatures T1 and T2 respectively. The radial rate
of flow of heat in a substance between the
12  THREE DIMENSIONAL GEOMETRY
Page 1
( Answers at the end of all questions )
(1)
y 1
x +1
z 2
=
=
and the plane
1
2
2
1
x + 4 = 0 is such that sin =
, then the value of is
3
If the angle between the line
2x  y +
(a)
(2)
5
3
(a)
10
9
[ AIEEE 2005 ]
r
12  THERMODYNAMICS
Page 1
Introduction
Thermodynamics is the study of mutual conversions of heat energy and other forms of
energies, its conditions and necessary devices.
12.1  Concept of thermodynamic system and environment
Thermodynamic system is a pa
11  KINETIC THEORY OF GASES
Page 1
Introduction
The constituent particles of the matter like atoms, molecules or ions are in continuous
motion.
In solids, the particles are very close and oscillate about their mean positions.
In gases, at low density, th
11  HEAT AND THERMODYNAMICS
( including ideal gas and kinetic theory of gases )
Page 1
( Answers at the end of all questions )
1)
Which
( a ) It
( b ) It
( c ) It
( d ) It
2)
A system goes from A to B via two processes and
as shown in figure. If U1 and
14  NUCLEUS
Page 1
14.1 Nucleus  General Information
A nucleus consists of electrically neutral neutrons and positively charged protons. The
nucleus of hydrogen has only one proton and no neutrons.
The charge of proton = the charge of electron = 1.6 10
15  WAVES
Page 1
1)
Two wires placed to each other are vibrating in their first harmonic. The sound produced
by the two wires produce 5 beats per second. If the longer wire is 25 cm long and the
velocity of waves in wire is 50 m / s, then find length of
Unit 9 Problem Set1: The Doppler Effect
Ocie Blackman
Assume that the pitch of a honking car horn is the F above middle C (f F= 349 Hz) and the
speed of sound in air
is 770 mph. How fast would a honking car need to be approaching you for you to hear a G (
24  SOLIDS AND SEMICONDUCTOR DEVICES
Page 1
( Answers at the end of all questions )
1)
In a common base amplifier, the phase difference between the input signal voltage and
output voltage is
(a)
(b)
/4
(c) /2
( d ) zero
[ AIEEE 2005 ]
2)
In a full wave
23  ATOMS, MOLECULES AND NUCLEI
Page 1
( Answers at the end of all questions )
27
125
1)
If the radius of the 13Al nucleus is estimated to be 3.6 fermi, then the radius of 52Te
nucleus will be nearly
( a ) 8 fermi
( b ) 6 fermi
( c ) 5 fermi
( d ) 4 ferm
22  ELECTRON AND PHOTONS
Page 1
( Answers at the end of all questions )
1)
A photocell is illuminated by a small source placed 1 m away. When the same source
of light is placed 1 / 2 m away, the number of electrons emitted by photocathode would
( a ) inc
20  WAVE OPTICS
Page 1
( Answers at the end of all questions )
1)
Two point white dots are 1 mm apart on a black paper. They are viewed by eye of
pupil diameter 3 mm. Approximately, what is the maximum distance at which these dots
can be resolved by the
19  RAY OPTICS
Page 1
( Answers at the end of all questions )
1)
A fish looking up through the water sees the outside world contained in a circular
horizon. If the refractive index of water is 4 / 3 and the fish is 12 cm below the surface,
the radius of
18  ELECTROMAGNETIC INDUCTION AND ALTERNATING CURRENTS
( Answers at the end of all questions )
Page 1
1)
The self inductance of the motor of an electric fan is 10 H. In order to impart maximum
power at 50 Hz, it should be connected to a capacitance of
(a
PROBLEMS
18  DYNAMICS ( APPLICATIONS OF Derivatives )
Page 1
( 1 ) A particle executing rectilinear motion travels distance x cm in t seconds where
3
2
2
x = 2t  9t + 5t + 8. Find its velocity at a time when its acceleration is 18 cm / s .
[ Ans: 5 cm /
PROBLEMS
(1)
17  DIFFERENTIAL EQUATIONS
Prove that y = A e
x
+ Be
2x
2
+ x + x is a solution of
d2 y
dx 2
+
Page 1
dy
 2y = 3  2x 2 ,
dx
( A, B are arbitrary constants )
2
2
2
y
Ans : log
cx
2
(2)
Solve ( x + yx ) dy + ( y  xy ) dx = 0.
(3)
1
1
+
x
16  MAGNETIC EFFECTS OF CURRENTS
Page 1
( Answers at the end of all questions )
1)
One conducting U tube can slide inside another as
shown in the figure, maintaining electrical contacts
between
the
tubes.
The
magnetic
field
B
is
perpendicular to the plan
PROBLEMS
(1)
16  APPLICATIONS OF INTEGRATION
Find the area of the region bounded by the circle x
2
2
Page 1
2
+ y =r.
2
[ Ans: r ]
(2)
Find the area of the region bounded by y = x
2
 5x + 4 and Xaxis.
9
Ans : 2
(3)
Find the area of the region enclose
15  SEMICONDUCTOR ELECTRONICS:
MATERIALS, DEVICES AND SIMPLE CIRCUITS
Page 1
15.1 Introduction
The word electronics is coined from the words electron mechanics. The subject of electronics
deals with the study of devices in which specific current ( ) vers