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Welcome to PHYSICS –I (PH10001)

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Presentation on theme: "Welcome to PHYSICS –I (PH10001)"— Presentation transcript:

1 Welcome to PHYSICS –I (PH10001)
Sir Isaac Newton Thomas Young Christiaan Huygens Welcome to PHYSICS –I (PH10001) Werner Heisenberg Niels Bohr Albert Einstein

2 Course Content Oscillations – 8 lectures Waves - 8 lectures
Waves - 8 lectures Interference - 7 lectures Diffraction - 7 lectures Polarisation - 4 lectures Quantum Physics - 8 lectures L-T-P

3 Instructor: Dr. Anushree Roy
Contact number : 83856 Availability : Venue: Room No. C133 in main building Time : Thursday pm Slides other details available at:

4 Class Timings Monday: From 1.30 to 2.30 (door will close at 1.40)
Tuesday: From 3.30 to 5.30 (door will close at 3.45)

5 Marks Break-up Mid semester exam: 30 End semester exam: 50
Tutorial: 20

6 BOOKS FEYNMAN LECTURES ON PHYSICS VOL I
THE PHYSICS OF VIBRATIONS AND WAVES by H. J. PAIN FUNDAMENTALS OF OPTICS by JENKINS AND WHITE OPTICS by EUGENE HECHT

7 1. LECTURE NOTES & PROBLEMS BANK for PHYSICS by SARASWAT AND SASTRY
2. PHYSICS I: OSCILLATIONS AND WAVES by BHARADWAJ AND KHASTAGIR 3. LECTURE NOTE S AND PROBLEMS BANK by SAYAN KAR at Audio lecture:

8 Discussion Forum

9 OSCILLATION HARMONIC OSCILLATION

10 OSCILLATION

11 SPRING SIMPLE HARMONIC MOTION
Assumption : spring is perfectly linear force of pulling back  restoring force x HOOKE’S LAW m x m m max Equation of motion m x max k : stiffness constant

12 Second order ordinary homogenous linear differential eqn.
second order: because the highest derivative is second order. ordinary: because the derivatives are only with respect to one variable (t). homogeneous: because x or its derivatives appear in every term, and linear: because x and its derivatives appear separately and linearly in each term

13 One of the solutions of the differential equation
A is a constant : Amplitude of motion wo refers to natural motion the spring

14 Velocity : Acceleration :

15 Oscillation! For A=1

16 Physical significance of A
A is amplitude of motion Time pattern of the motion is independent A

17 Physical significance of w0
Motion repeats when changes by 2p : Phase of the motion

18 T: Time period of motion

19 Phase estimation For black curve For red curve

20 Shifting the beginning (origin) of the time
General solution t1 = some constant Form

21 w0: angular freq. (amount of phase change in 1 sec)
(w0t+f) : phase of the oscillation f: phase shift from some defined origin of time

22 Estimating Amplitude and Phase from Initial conditions
Initial conditions to determine D and E At t = x=x and v=v0 Hence find amplitude and phase

23 Velocity : Acceleration :

24 Potential energy of the spring-mass system

25 Kinetic energy of the spring-mass system

26 Total energy of the spring-mass system
Total energy = K.E + P.E

27 Simple Pendulum Assumption : massless unstretchable string q l g m

28 Harmonic and circular motion (only an Analogy)
v Acceleration (a)  R q X Geometrically x component of the displacement of a particle moving along a circular path with uniform speed is a SHM

29 Summary Every oscillatory motion or periodic motion has a frequency
w=2pf Unit of f : 1Hertz = 1Hz = 1 oscillation/sec =1sec-1 The period T is the time required for one complete oscillation or cycle Displacement during SHM as a function of time xmax: amplitude

30 xmax=A Velocity during SHM as a function of time
wxmax: velocity amplitude xmax=A Acceleration during SHM as a function of time w2xmax: acceleration amplitude

31 Reference FEYNMAN LECTURES ON PHYSICS VOL I
Author : RICHARD P FEYNMAN, IIT KGP Central Library : Class no.  530.4


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