A uniform rope of length L and mass m1 hangs vertically from a rigid support. A block of mass m2 is attached to the free end of the rope. A transverse pulse of wavelength $\lambda $1 is produced at the lower end of the rope. The wavelength of the pulse when it reaches the top of the rope is $\lambda $2. The ratio $\lambda $2/$\lambda $1 is

Question

A uniform rope of length L and mass m₁ hangs vertically from a rigid support. A block of mass m₂ is attached to the free end of the rope. A transverse pulse of wavelength $\lambda $₁ is produced at the lower end of the rope. The wavelength of the pulse when it reaches the top of the rope is $\lambda $₂. The ratio $\lambda $₂/$\lambda $₁ is

$\sqrt {{{{m_2}} \over {{m_1}}}} $

$\sqrt {{{{m_1} + {m_2}} \over {{m_1}}}} $

$\sqrt {{{{m_1}} \over {{m_2}}}} $

$\sqrt {{{{m_1} + {m_2}} \over {{m_2}}}} $

Solution

Please login to view the detailed solution steps...

Go to DASH