Question

Physic calculation, And uncertainties calculations

Results: Original data Room temperature: 23.7, 1 0.5 °C Resonance point 2 3 4 5 Frequency #1 1950 Hz) 3.8cm 24.4 cm 44.7cm 65. 2cm - Frequency #2 1600 Hz) 0.9 cm 11.8cm 22-4 cm 33. 2cm 44.2 cm 55.1cm 65.9cm 78.8cm Frequency #3 (2350 Hz) 7.4 cm 14.9cm 22. 2cm 29.6cm 37.0cm 44.3cm 51.6cm 59. Icm 7 8 Calculated results 850 Hz Wavelength (m) Velocity (m/s) 1600 Hz Wavelength Velocity (m/s) 2350 Hz Wavelength (m) Velocity (m/s) Average wavelength(m) 1/average (m) Average velocity (m/s) Velocity from graph (m/s) Theoretical velocity (m/s)

The uncertainties are +,- 1J, +,- Hz, and and +,- cm. Thank you!!

Answer 1

The equations and methods for the problem at hand need to be submitted. However, we can try to answer assuming that the answer to be found is for wavelength and velocity of sound experiment using resonance tube.

(a) Considering there is no error in the frequency given.

(b) Considering that the resonance points are measured using a scale with least count 0.1 cm. The Uncertainity in the wavelength measurement is +/- 0.1 cm, because the wavelength and the resonance length are directly proportional to each other.

(c) Now v = frequency x wavelength. The velocity is also directly proportional to the wavelength and frequency and frequency has no error, so the error in velocity is directly proportional to that of wavelength.

Converting the units we get the error in velocity to be +/- 1 cm/s.

So the