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Single slit diffraction

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Relative Velocity

V CP= V CE- V PE

Kinematics

Velocity

Acceleration

Displacement

S=S0+V0t+at2/2

SUVAT- Equations of motion (1 dimension)

Projectile’s Laws of Motion

• The horizontal component of the velocity is constant

Vx = Vo cosӨ

• The vertical component is given by

Vy = Vo sinӨ - gt

• The displacement along the x - axis is

X = Vo cosӨ * t

• The displacement in the y - direction is

Y = Vo sinӨ t – gt­2/2

 


Dynamics

Force. F = ma

Work Done

For constant force:

For variable force:

Instantaneous Power:

Average Power:

Kinetic Energy (K E):

Total mechanical energy

E = KE + PE

Momentum:

=m

Impulse

Conservation of momentum

Work Done by Conservative Force

Potential Energy

Conservative force vs Potential Energy

Torque

Conditions of equilibrium

Σ F = 0

Σ t = 0

Position of the Center of Mass

Friction

|Ff|= μ|N|

μk < μs.

Work Done by Friction

W = Ff d cosθ

 

Angular acceleration

ω(t) = dθ/dt

Radial vector

=cos θ

Tangential vector

= - sinθ

Radius vector

= r =

Tangential Velocity

=

Tangential Acceleration

=

Centripetal Force

Rotational Kinetic Energy

Angular acceleration

L = Iω

Torque

Work done by torque

W = τθ

Power by torque

Work – Kinetic Energy by torque

Linear and Angular Equations comparison table


Simple harmonic motion.

Force

Acceleration for spring and pendulum

Angular frequency

Equation of SHM

Equation for period for spring and pendulum

Frequency

Maximum speed and acceleration in SHM

vmax = Aω amax = Aω2

Energy in SHM

Total energy in SHM

Maximum KE and PE

Damping oscillations

Periodic Driving Force


Waves

The equation of a moving sine wave

Velocity of the wave

Travelling wave function

Propagation speed in string

Intensity of the sound wave

Intensity level (Loudness)

 

Standing waves function

Frequencies of the string

Path difference for constructive interference

δ = ml

Path difference for destructive interference

δ = (m + ½) l

Young’s double slit experiment and Diffraction grating

For bright fringe


For dark fringe

Single slit diffraction

Reflection

Refraction

Snell’s Law of Refraction

Wave moving from medium 1 to medium 2:


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