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Physics - Wave on String Question with Solution | TestHub

PhysicsWave on StringVelocityMedium3 minQB

PhysicsMediumsingle choice

A uniform rope of length 12 m and 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. What is the wavelength of the pulse when it reaches the top of the rope?

Options:

Answer:

Solution:

The pulse frequency stays constant along the rope, so $λ \propto v \propto T$ .

Tension at the lower end = weight of the block = $2 g$ ; tension at the top = weight of rope + block = $(6 + 2) g = 8 g$ .

$λ_{t o p} = 0.06 \times \frac{8 g}{2 g} = 0.06 \times 2 = 0.12$ m. Answer: (D).

Stream:JEESubject:PhysicsTopic:Wave on StringSubtopic:Velocity

⏱ 3mℹ️ Source: QB

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