Q. A photon traveling in the positive x-direction collides with a stationary free electron. The incident photon has a wavelength of 0.0310 nm. Post-collision, the electron moves at an angle πΌ below the positive x-axis, and the photon deflects at an angle π = 66.3Β° above the positive x-axis. A) Calculate the angle πΌ (in degrees). B) Compute the velocity of the electron (in m/s). Solution:
What is a Periodic Function?
If the function π(π₯) repeats itβs value after equal interval of x, then π(π₯) is said to be a periodic function of x and the equal interval of x, is known as time period of the function π(π₯).
π(π₯) = π(π₯ + π) = π(π₯ + 2π )=. . . . . . . . . . = π(π₯ + ππ) =. . . . .
Here T is known as the time period of the function.
Types of Periodic Function :
Sinusoidal Periodic Function:
A sinusoidal function is a function that is like a sine or cosine functions. Sinusoidal functions are a specific type of periodic function. Period of Sine and Cosine is 2Ο.
If the function π(π₯) repeats itβs value after equal interval of x, then π(π₯) is said to be a periodic function of x and the equal interval of x, is known as time period of the function π(π₯).
π(π₯) = π(π₯ + π) = π(π₯ + 2π )=. . . . . . . . . . = π(π₯ + ππ) =. . . . .
Here T is known as the time period of the function.
Types of Periodic Function :
Sinusoidal Periodic Function:
A sinusoidal function is a function that is like a sine or cosine functions. Sinusoidal functions are a specific type of periodic function. Period of Sine and Cosine is 2Ο.
- Time Period of Sin (t) and cos (t) is T = 2π
- Time Period of Sin (mt) and cos (mt) is T = 2π/π
Non- Sinusoidal Periodic Function:
A non-sinusoidal waveform is typically a periodic oscillation. Some examples are square waves, rectangle waves, triangular waves, saw tooth waves and trapezoid waves .
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