Decide whether each of the following statements are T-True, or F-False. (If the

Question

Decide whether each of the following statements are T-True, or F-False. (If the first is T and the rest are F, enter TFFFF)

A) If an ideal string can vibrate in a pure standing wave with fundamental frequency f, then (with no changes in length, tension, or material) it can also be made to vibrate in a pure standing wave with a frequency of f/4
B) If you decrease the tension in a string, the frequency of its fundamental vibration will get higher
C) If an ideal string can vibrate in a pure standing wave with frequency f, then (with no changes in length, tension, or material) it can also be made to vibrate in a pure standing wave with frequency of 3f
D) If the fundamental vibration of a string has wavelength lambda, then the next higher mode will have wavelength 2*lambda
E) If you have a standing wave with frequency 5 times the fundamental, there are 4 internal nodes (not counting nodes at the end of the string)

Explanation / Answer

(A) T f= 1/2pi (k/m)^1/2 the frequency depends on the spring constant and mass attached

(B) F

(C) T   f= 1/2pi (k/m)^1/2 the frequency depends on the spring constant and mass attached

(D) F in the fundamental case, lemda =2L, In next higher mode, lemda'=L=lemda/2

(E) T in fifth hormonic, number of antinodes is 5 and nodes is 5+1=6, if ends are exclused, then 4 internal nodes.

Related Questions

Navigate

• Browse (All)
• Browse D
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.