Exam (elaborations)
XI PHYSICS NEW CHAPTER _13_ OSCILLATIONS
XI PHYSICS NEW CHAPTER _13_ OSCILLATIONS
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XI_PHYSICS_NEW CHAPTER_13_OSCILLATIONSIntroduction; 13.2 PERIODIC AND OSCILLATORY MOTIONS
S# False Statement True Statement
In our daily life, we come across various kinds of motions,
1 All motions are repetitive in nature.
including repetitive and non-repetitive ones.
Non-repetitive motions cannot be
2 Both non-repetitive and repetitive motions can be periodic.
periodic.
In a periodic motion, displacement is
3 In a periodic motion, displacement varies with time.
always proportional to time.
Oscillations always involve an equilibrium Every oscillatory motion is periodic, but not every periodic
4
position. motion is oscillatory.
Oscillatory motion is always circular in
5 Oscillatory motion can be linear or circular.
nature.
Oscillations are only observed in Oscillations can be observed in various systems, including
6
mechanical systems. mechanical, electrical, and biological.
The period of oscillation is dependent on
7 The period of oscillation is independent of the amplitude.
the amplitude.
8 Oscillations occur only in one dimension. Oscillations can occur in one, two, or three dimensions.
Every oscillatory motion is periodic, but not every periodic
9 All periodic motions are oscillatory.
motion is oscillatory.
10 An object in equilibrium is always at rest. An object in equilibrium may be at rest or in uniform motion.
The frequency of oscillation is directly The frequency of oscillation is inversely proportional to the
11
proportional to the displacement. displacement.
In an oscillatory motion, the restoring
In some oscillatory motions, the restoring force may not be
12 force is always proportional to the
proportional to the displacement.
displacement.
All periodic motions involve a to-and-fro Periodic motions can involve various repetitive patterns, not
13
movement. just to-and-fro movement.
Oscillations never encounter damping Oscillations can encounter damping effects that reduce their
14
effects. amplitude over time.
The frequency of oscillation is always The frequency of oscillation can change based on various
16
constant. factors.
Periodic motion and oscillatory motion While every oscillatory motion is periodic, not every periodic
17
are always the same. motion is oscillatory.
The amplitude of oscillation is determined
18 The amplitude of oscillation is independent of the frequency.
by the frequency.
Oscillations always require an external Oscillations can be maintained by internal forces or external
19
force to maintain them. periodic agencies.
Oscillations always fade away due to Oscillations can persist indefinitely, especially in idealized
20
internal friction. systems.
Periodic motion is the most complex form Periodic motion is a fundamental and often simple form of
21
of motion. motion.
Oscillatory motion is purely linear and Oscillatory motion can exhibit complex behaviors, including
22
predictable. nonlinear patterns.
All oscillations have a definite starting and
23 Oscillations can start and end at any point in their cycle.
ending point.
In oscillatory motion, the object is always In oscillatory motion, the object passes through the mean
24
at rest at the mean position. position with maximum speed
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, XI_PHYSICS_NEW CHAPTER_13_OSCILLATIONS
13.2.1 Period and Frequency; 13.2.2 Displacement
S# False Statement True Statement
Periodic motion always involves Every periodic motion may or may not have an equilibrium
1
equilibrium. position.
Oscillations are only caused by external
2 Oscillations can be caused by internal forces as well.
forces.
Frequency is always constant in Frequency in oscillations can vary depending on various
3
oscillations. factors.
Oscillations and vibrations have distinct characteristics and
4 Oscillations and vibrations are identical.
behaviors.
5 Damped oscillations persist indefinitely. Damped oscillations lose energy and eventually come to rest.
Waves cannot be represented by periodic Waves can be represented as superpositions of periodic sine
6
functions. and cosine functions.
Displacement is always measured from Displacement can be measured from any chosen point, not
7
the equilibrium position. just the equilibrium.
Period and frequency are inversely Frequency is the reciprocal of the period, demonstrating a
8
related. direct relationship.
All periodic functions can be expressed Not all periodic functions can be accurately represented
9
using only sine and cosine functions. using sine and cosine.
The argument of a periodic function The argument shift affects the phase but does not
10
determines its periodicity. fundamentally change the periodicity.
All periodic functions have the same Different periodic functions can have different periods based
11
period. on their nature.
Every periodic function repeats itself after A periodic function repeats its values, but not necessarily
12
every interval of time. after every interval.
The period of a function can be expressed Periods of different periodic functions can't be directly
13
as a multiple of another function's period. related in this manner.
Frequency can be a non-integer value depending on the type
14 Frequency is an integer value.
of periodic motion.
Oscillations and vibrations always cease Oscillations and vibrations can persist with or without
15
due to damping effects. damping effects.
Displacement can only have positive Displacement can have both positive and negative values
16
values. depending on the context.
Periodic motion always involves simple Periodic motion can involve various complexities beyond
17
harmonic motion. simple harmonic motion.
Amplitude is directly proportional to Amplitude is not directly proportional to frequency; the
18
frequency in oscillations. relationship is more complex.
Periodic functions can be represented by Periodic functions are often complex and require various
19
a single sinusoidal function. terms for accurate representation.
Displacement is always measured from a Displacement can be measured from any chosen reference
20
single reference point. point.
The frequency of oscillations is constant Frequency in oscillations can vary depending on factors such
21
for all amplitudes. as amplitude.
Damping in oscillations is solely due to Damping in oscillations can result from both external and
22
external factors. internal factors.
Oscillations always return to their starting Oscillations may return near the starting point but not
23
point. exactly to it.
The period of oscillations can be influenced by various
24 The period of oscillations is independent
factors like amplitude
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, XI_PHYSICS_NEW CHAPTER_13_OSCILLATIONS
13.3 SIMPLE HARMONIC MOTION
S# False Statement True Statement
Simple harmonic motion is any periodic
1 Simple harmonic motion is a specific type of periodic motion.
motion.
The amplitude in simple harmonic motion
2 The amplitude in simple harmonic motion is constant.
is not fixed.
The angular frequency (ω) is unrelated to The angular frequency (ω) and the period (T) in simple
3
the period (T) in simple harmonic motion. harmonic motion are related by ω = 2π/T.
A particle in simple harmonic motion has The displacement of a particle in simple harmonic motion
4
a linear displacement. follows a sinusoidal function.
Simple harmonic motion is only applicable Simple harmonic motion can be applicable to various
5
to linear systems. systems, not limited to linear systems.
The phase angle (φ) in simple harmonic The phase angle (φ) in simple harmonic motion can take
6
motion is always zero. various values, not limited to zero.
A particle in simple harmonic motion
A particle in simple harmonic motion reaches its maximum
7 reaches its maximum speed at the
speed at the equilibrium position.
extreme positions.
In simple harmonic motion, the frequency In simple harmonic motion, the frequency is inversely
8
is independent of the mass of the object. proportional to the square root of the mass of the object.
The period of simple harmonic motion is
The period of simple harmonic motion is constant for a given
9 always the same, regardless of the
amplitude.
amplitude.
Simple harmonic motion only occurs in Simple harmonic motion can occur in various real-world
10
idealized, frictionless environments. scenarios with some damping or friction.
Simple harmonic motion is always Simple harmonic motion can begin from any initial condition,
11
initiated from rest. not limited to rest.
Simple harmonic motion cannot occur in Simple harmonic motion can occur in rotational systems, like
12
rotational systems. a pendulum.
The frequency of simple harmonic motion The frequency of simple harmonic motion is directly
13 is not influenced by the stiffness of the proportional to the square root of the stiffness of the
restoring force. restoring force.
The period of simple harmonic motion The period of simple harmonic motion is halved if the mass
14 remains unchanged if the mass of the of the object is halved, assuming the force constant remains
object is halved. constant.
In simple harmonic motion, the restoring
In simple harmonic motion, the restoring force is
15 force is directly proportional to the
proportional to the negative of the displacement.
displacement.
Simple harmonic motion cannot occur in a Simple harmonic motion can occur in a damped system,
16
system with damping. although the amplitude decreases over time.
In simple harmonic motion, the potential
In simple harmonic motion, the potential energy is at its
17 energy is at its maximum at the
minimum at the equilibrium position.
equilibrium position.
The period of simple harmonic motion is
The period of simple harmonic motion is directly
18 inversely proportional to the square root
proportional to the square root of the restoring force.
of the restoring force.
Simple harmonic motion cannot occur in Simple harmonic motion can occur in systems with friction,
19
systems with friction. although it will eventually come to a stop.
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