Chapter 16, Problem 042 Your answer is partially correct. Try again. A string un

Question

Chapter 16, Problem 042 Your answer is partially correct. Try again. A string under tension oscillates in the third harmonic at frequency f3, and the waves on the string have wavelength 3. If the tension is increased to Tf= 2.0T, and the string is again made to oscillate in the third harmonic, what then are (a) the ratio of frequency of oscillation to f3 and (b) the ratio of the wavelength of the waves to 3? (a) Number 2 No units Units (b) Number 0 No units Units LINK TO SAMPLE PROBLEM VIDE Question Attempts: 1 of 6 used SAVE FOR LATER

Explanation / Answer

frequency of oscillation

fn = (n/2L)*(T/(m/L))^0.5  

=> f3 = (3/2L)*(T/(m/L))^0.5

now if T2 = 2T1

f32 = (3/2L)*(2T/(m/L))^0.5

=> f32 = 1.414*f3

=> f32/f3 = 1.414 PART (A)

lembda32/lembda3  = 1 PART (B)  

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