Question

A dog tunes one string of a banjo to play at 366 Hz, while a second string is tuned to play at 500 Hz. The strings are made of the same material and thus have the same density. Determine the following. A. The frequency of the second harmonic of the first string. B. The ratio of the masses of the two strings (m1/m2) if the strings have the same length and are under the same tension. C. The ratio of the diameters of the two strings (d1/d2) if the strings have the same length and are under the same tension. D. The ratio of the lengths of the two strings (L1/L2) if the strings have the same mass per unit length and are under the same tension. E. The ratio of the tensions of the two strings (T1/T2) if the strings have the same mass and length.

          A dog tunes one string of a banjo to play at 366 Hz, while a second string is tuned to play at 500 Hz. The strings are made of the same material and thus have the same density. Determine the following.

A. The frequency of the second harmonic of the first string.
B. The ratio of the masses of the two strings (m1/m2) if the strings have the same length and are under the same tension.
C. The ratio of the diameters of the two strings (d1/d2) if the strings have the same length and are under the same tension.
D. The ratio of the lengths of the two strings (L1/L2) if the strings have the same mass per unit length and are under the same tension.
E. The ratio of the tensions of the two strings (T1/T2) if the strings have the same mass and length.

Added by Emilio F.

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