The constituent waves of a stationary wave have amplitude, frequency and velocity as 8cm, 25Hz and 150cm/s respectively. What is the amplitude of the stationary wave at x=2cm?
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9
ANSWER
_________________________
The question can be solved by drawing a graph or either by usin the below stated method :
Find the wavelength of the wave
Velocity = Wavelength × Frequency
150 cm/s = Wavelength × 25 Hz
Wavelength = 150 ÷ 25
=> Wavelength = 6 cm
A CREST AND A TROUGH MAKE ONE WAVELENGTH
On comparing with the sine wave,
180° = 6 cm and
hence value of 1 I.e. maximum value = 8 cm
=> 60° = 2cm
=> sin 60° = root (3) / 2
if 1 = 8cm
=> { sqrt (3) / 2 }= 8 × sqrt (3) / 2 cm
=> at x = 2cm
Amplitude = 4 × sqrt (3)
_________________________
Amplitude = 4 × sqrt (3)
_________________________
HOPE IT HELPS :):):):)
MARK AS BRAINLIEST ^_^
_________________________
The question can be solved by drawing a graph or either by usin the below stated method :
Find the wavelength of the wave
Velocity = Wavelength × Frequency
150 cm/s = Wavelength × 25 Hz
Wavelength = 150 ÷ 25
=> Wavelength = 6 cm
A CREST AND A TROUGH MAKE ONE WAVELENGTH
On comparing with the sine wave,
180° = 6 cm and
hence value of 1 I.e. maximum value = 8 cm
=> 60° = 2cm
=> sin 60° = root (3) / 2
if 1 = 8cm
=> { sqrt (3) / 2 }= 8 × sqrt (3) / 2 cm
=> at x = 2cm
Amplitude = 4 × sqrt (3)
_________________________
Amplitude = 4 × sqrt (3)
_________________________
HOPE IT HELPS :):):):)
MARK AS BRAINLIEST ^_^
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mandani23200:
The ans is 8 sqrt(3)
Sorry, On comparing the sine wave we will get 6 cm mark as 360°
But it will still yield the same answer
Asnwer : 8 sqrt (3) is not possible because as stated in your question the maximum amplitude is 8 cm but on the contrary 8 sqrt (3) > 8
Answer will be 8 sqrt (3) / 2
Thanks
Answered by
2
Answer is 8√3 cm
Explanation:
Refer attachment.
Hope it helps: )
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