Question

A uniform rope of length 12 m and mass 6 kg hangs vertically from a rigid support. A block of mass 2kg is attached at the free end of the rope. A transverse pulse of wavelength 0.06m is produced at the lower end of the rope. The wavelength of the pulse when it reaches the top of the rope is

• A. 0.06 m
• B. 0.12 m
• C. 0.24 m
• D. 0.03 m

Answer 1

Answer: (B)

0.12 m

Answer 2

Tension at the bottom =2kg.Wt = $T_h$ Tension at the top =(2+6)=8 kg wt = $T_t$ $\frac{V_t}{V_b} = \frac{n \lambda_t}{n\lambda_b} = \sqrt{\frac{T_t}{T_b}}$