In an experimental acoustics laboratory, a stationary wave is set up on a high-tension carbon-fiber monofilament (String A) of length LAL_ALA and diameter DAD_ADA, under a tension TAT_ATA.
A second monofilament (String B) is made from the same carbon-fiber material but has a length LB=1.6LAL_B = 1.6 L_ALB=1.6LA and is subjected to a tension TB=1.44TAT_B = 1.44 T_ATB=1.44TA.
Determine the ratio of the diameter of String B to String A, DBDA\frac{D_B}{D_A}DADB, required for String B to vibrate with the same fundamental (first-harmonic) frequency as String A.
25 exam-style questions on AQA A Level Physics Progressive and stationary waves, covering Progressive waves, Longitudinal and transverse waves, and Principle of superposition of waves and formation of stationary waves. Each one has a worked solution and a mark scheme showing where the marks go.