Finding wavelength from counting crest

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The discussion focuses on calculating the distance a wave group extends after a stone is tossed into water, with a wave speed of 25 cm/s over a duration of 4.0 seconds, resulting in a distance of 100 cm. An observer counts 12 wave crests, leading to a preliminary calculation of wavelength by dividing the distance by the number of crests. However, a key point raised is that counting crests does not directly equate to counting wavelengths, suggesting a need for clarification on the relationship between crests and wavelengths. The classical uncertainty relationship is mentioned as a method to estimate the precision of the wavelength determination. The conversation emphasizes the importance of accurately interpreting wave characteristics in calculations.
aryan
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Homework Statement

[/B]
A stone tossed into a body of water creates a disturbance at the point of impact that lasts for Dt = 4.0s. Measurements indicates that the wave speed is v = 25 cm/s. (a) Over what distance on the surface of water does the wave group extend? (b) An observer counts 12 wave crests in the group.Use the classical uncertainty relationship to estimate the precision with which the wavelength could be determined.

Homework Equations


delta(x) * delta (k) >= PI[/B]

The Attempt at a Solution


the group distance is calculated by multiplying wave speed*the time impact (b) there are 12 crest over the distance of 100 cm hence the wavelength will be 100/12. I am not sure about this is there any mistake in this?[/B]
 
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Welcome to PF;
The only thing I can think of is that 12 crests is not always the same as 12 wavelengths ... sketch a wave with 12 crests and count the wavelengths.
 

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