Question

A uniform rope of mass 6 kg hangs vertically from a rigid support. A block of mass 2 kg is attached to the free end of the rope. A transverse pulse of wavelength 0.06 m is produced at the lower end of the rope. The wavelength of the pulse, when it reaches the top is ______. (in m) 

Options

• 0.06

• 0.12 

• 0.03

• 0.24

Answer 1

A uniform rope of mass 6 kg hangs vertically from a rigid support. A block of mass 2 kg is attached to the free end of the rope. A transverse pulse of wavelength 0.06 m is produced at the lower end of the rope. The wavelength of the pulse, when it reaches the top is 0.12. 

Explanation:

`"v" = sqrt("T"/m) = "f"lambda`

`"v"  alpha  lambda  sqrt"T" => "T"_1 = 2  "kg"  "T"_2` = 6 + 2 =8 kg

`"v"_2/"v" _1 = lambda_2/lambda_1 = sqrt("T"_2/"T"_1) = sqrt(8/2) = 2`

`lambda_2 = 2lambda_1 = 2xx 0.06` = 0.12 m