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One end of a string 6.26 m long is moved up and down with simple harmonic motion at a frequency of 95 Hz . The waves reach the other end of the string in 0.5 s. Find the wavelength of the waves on the string. Answer in units of cm.

Respuesta :

Answer:

Explanation:

Given

length of string [tex]L=6.26\ m[/tex]

frequency [tex]f=95\ Hz[/tex]

time taken by wave to reach at other end [tex]t=0.5\ s[/tex]

speed of  wave is given by

[tex]v=\frac{length\ of\ string}{time\ taken}[/tex]

[tex]v=\frac{6.26}{0.5}[/tex]

[tex]v=12.52\ m/s[/tex]

wavelength of is given by

[tex]\lambda =\frac{velocity}{frequency}[/tex]

[tex]\lambda =\frac{12.52}{95}[/tex]

[tex]\lambda =0.131\ m[/tex]