MHT-CET : Physics Entrance Exam

### MHT - CET : Physics - Stationary Waves Formulae Page 1

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1.

Equation of a wave of wavelength l, amplitude A and time period T, along x-direction

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.

 y1 = A sin 2 p t + 2 p x T l

y = 2 A sin

 2pt T

cos

 2 p x l

 y2 = A sin 2 p t - 2 p x T l

y = y1 + y2

3.

Amplitude of Stationary Waves (Resultant Wave)

R = 2 A cos

 2 p x l

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

=

 l 2

5. Distance between a Node and its Adjacent Antinode

Distance between a node and an adjacent antinode =

 l 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 m: mass per unit length of the string T: tension applied to the string

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