Waves - Result Question 41

43. 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 λ1 is produced at the lower end of the rope. The wavelength of the pulse when it reaches the top of the rope is λ2 the ratio λ2/λ1 is

[2016]

(a) m1m2

(b) m1+m2m2

(c) m2m1

(d) m1+m2m1

Show Answer

Answer:

Correct Answer: 43. (b)

Solution:

  1. (b) From figure, tension T1=m2g

T2=(m1+m2)g

As we know

Rigid support

Velocity ∝T

So, λ∝T

⇒λ1λ2=T1T2

⇒λ2λ1=m1+m2m2◻m2

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