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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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