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Revision Notes for Class 11 Physics Chapter 14 Oscillations
Class 11 Physics students should refer to the following concepts and notes for Chapter 14 Oscillations in Class 11. These exam notes for Class 11 Physics will be very useful for upcoming class tests and examinations and help you to score good marks
Chapter 14 Oscillations Notes Class 11 Physics
Oscillations and Waves
•Periodic Motion: A motion which repeats itself over and over again after a regular interval of time.
• Oscillatory Motion: A motion in which a body moves back and forth repeatedly about a fixed point.
• Periodic function: A function that repeats its value at regular intervals of its argument is called periodic function. The following sine and cosine functions are periodic with period T.
f(t) =[ sin 2π /T] and g(t) = [cos 2π /T]
These are called Harmonic Functions.
Note :- All Harmonic functions are periodic but all periodic functions are not harmonic.
One of the simplest periodic functions is given by
f(t) = A cos ωt [ω = 2π/T]
If the argument of this function ωt is increased by an integral multiple of 2π radians, the value of the function remains the same. The function f(t) is then periodic and its period, T is given by
T = 2π /ω
Thus the function f(t) is periodic with period T
f(t) = f(t +T)
Linear combination of sine and cosine functions
f(t) = A sin ωt + B cos ωt
A periodic function with same period T is given as
A = D cos ø and B = D sin ø
f(t) = D sin (ωt + ø)
D = √ A2 + B2 and ø = tan-1 x /α
• Simple Harmonic Motion (SHM): A particle is said to execute SHM if it moves to and fro about a mean position under the action of a restoring force which is directly proportional to its displacement from mean position and is always directed towards mean position. Restoring Force Displacement
F α x
F= -kx
Where ‘k’ is force constant.
• Amplitude: Maximum displacement of oscillating particle from its mean position.
xMax = + A
•Time Period: Time taken to complete one oscillation.
• Frequency: 1 /r . Unit of frequency is Hertz (Hz).
1 Hz = 1 S-1
• Angular Frequency:
= 2π /T = 2πν
S.I unit ω = rad S-1
• Phase:
1. The Phase of Vibrating particle at any instant gives the state of the particle as regards its position and the direction of motion at that instant.
It is denoted by ø.
2. Initial phase or epoch: The phase of particle corresponding to time t = 0.
It is denoted by ø.
• Displacement in SHM :
X=A cos( ωt+ ø0)
Where,X= Displacement,
A = Amplitude
ωt = Angular Frequency
ø0 = Initial Phase.
Please click the link below to download pdf file for CBSE Class XI Physics Oscillations and Waves.
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CBSE Class 11 Physics Chapter 14 Oscillations Notes
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Notes for Physics CBSE Class 11 Chapter 14 Oscillations
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Chapter 14 Oscillations Notes for Physics CBSE Class 11
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Chapter 14 Oscillations CBSE Class 11 Physics Notes
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Notes for CBSE Physics Class 11 Chapter 14 Oscillations
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