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Olympiad workbook

Exam: Olympiad workbook
Subject: NSEP
Chapter: Waves and Sound

Olympiad workbook · NSEP · Waves and Sound

A rope of mass m and length L is suspended vertically. A mas M is...

A rope of mass

m

and length L is suspended vertically. A mas

M

is suspended from bottom of the rope. A transverse wave is produced on the rope, which travels the length of rope in time

t

choose the correct statement (s)

Options

A $\mathrm{t}=2 \sqrt{\frac{L}{\mathrm{mg}}}(\sqrt{\mathrm{M}+\mathrm{m}}-\sqrt{\mathrm{M}})$
BFor $\mathrm{m} \ll \mathrm{M}$ The time $\mathrm{t}=\sqrt{\frac{\mathrm{mL}}{\mathrm{Mg}}}$
CFor $M=0$ (i.e. no mass hanging) the time $\mathrm{t}=\sqrt{\frac{\mathrm{L}}{\mathrm{g}}}$
DTime to travel the lower half of the rope by the wave is less than that to travel the upper half.

Correct answer

B. For $\mathrm{m} \ll \mathrm{M}$ The time $\mathrm{t}=\sqrt{\frac{\mathrm{mL}}{\mathrm{Mg}}}$

Step-by-step solution

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