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Physics

 Physics Competency Focused Practice Questions Class 10 Solutions.

What is the ratio of wavelengths between P, Q and R?

  1. 3:2:1
  2. 1:2:3
  3. 6:3:2
  4. 2:3:6

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Answer

2:3:6

Reason— A loop corresponds to half a wavelength, let length of string be ll.

  • Pattern P has 3 loops, so P has l=3λ12λ1=2l3l = \dfrac{3λ1}{2} ⇒ λ1= \dfrac{2l}{3}
  • Pattern Q has 2 loops, so Q has l=2λ22λ2=ll = \dfrac{2λ2}{2} ⇒ λ2=l
  • Pattern R has 1 loops, so R has l=λ32λ3=2ll = \dfrac{λ3}{2} ⇒ λ3=2l

ratio λ1:λ2:λ3=2l3:l:2lλ1 : λ2 : λ3=\dfrac{2l}{3}:l:2lλ1:λ2:λ3=2:3:6λ1 : λ2 : λ3=2:3:6

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