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Question

A wave travelling on a string is transmitted to other string of different density, gets partially reflected at the junction. The reflected wave is inverted in shape as compared to the incident wave. If the incident wave has wavelength λ1 and the transmitted wave λ2, then
  1. λ2>λ1
  2. λ2=λ1
  3. λ2<λ1
  4. Cannot be predicted


Solution

The correct option is C λ2<λ1
As reflected wave is inverted in shape as compared to the incident wave, therefore, wave is travelling from rarer medium to comparatively denser medium.

So, v2<v1, v2 is velocity of transmitted wave and v1 is velocity of incident wave.
Also, we know frequency f will remain same in both medium.
v1λ1=v2λ2=f, where λ1 is wavelength of incident wave and λ2 is wavelength of transmitted wave. 
v1v2=λ1λ2
λ1>λ2         [ v1>v2 ]
 

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