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A String with a length of 100 cm and mass of 4 grams emits a frequency of 250 Hz. Another 100 cm string with a mass of 1 gram, experienced the same tension as the first string. Determine the frequency on the second string.​

Sagot :

100 Hz if there's a 1gram in 100 cm

= 100 Hz

Explanation:

The speed of a wave on a string can be found by multiplying the wavelength by the frequency or by dividing the wavelength by the period.

  1. speed = frequency • wavelength. frequency = speed / wavelength. frequency = (425 m/s) / (1.53 m) frequency = 278 Hz.
  2. speed = frequency • wavelength. wavelength = speed / frequency. wavelength = (405 m/s) / (256 Hz) ...
  3. Length = (1/2) • Wavelength. Length = (1/2) • Wavelength. Length = 0.791 m.

Their wavelength is given by λ = v/f. Since the frequency is fixed, the wavelength of the waves can only be changed by changing the speed of the waves. Students will adjust the tension in the string until 1, 2, or 3 half wavelength of a wave with f = 120 Hz fit into the length of the string.

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