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1.
Equation of a wave of wavelength l, amplitude A and time period T, along xdirection
y = A sin 2p
t
T
±
x
l
2.
Equation of a stationary wave formed due to the interference of two progressive waves having same amplitude (A), wavelength (l) and speed but travelling in opposite directions.
y_{1} = A sin
2 p t
+
2 p x
y = 2 A sin
2pt
cos
y_{2} = A sin

y = y_{1} + y_{2}
3.
Amplitude of Stationary Waves (Resultant Wave)
R = 2 A cos
where, A: amplitude of the progressive waves l: wavelength of the progressive waves.
4. Distance between Two Successive Nodes
Distance between any two successive nodes (of stationary waves) = Distance between any two successive antinodes
=
2
5. Distance between a Node and its Adjacent Antinode
Distance between a node and an adjacent antinode =
4
6.
Velocity of Transverse Waves in a Vibrating String
V =
where, T:
tension applied to the wire
m:
mass per unit length (linear density) of the wire
7.
Fundamental Frequency of the Vibrating String
N =
1
2l
where, l:
vibrating length
mass per unit length of the string
T:
tension applied to the string