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JEE Advanced2024PhysicsElectromagnetic WavesActual

A metal target with atomic number Z=46 is bombarded with a high energy electron beam. The emission of X-rays from the target is analyzed. The ratio r of the wavelengths of the K_ -line and the cut-off is found to be r=2 . If the same electron beam bombards another metal target with Z=41 , the value of r will be

Options

  1. A2.53
  2. B1.27
  3. C2.24
  4. D1.58

Correct answer

A. 2.53

Step-by-step solution

( aligned & 1 _ = 3 4 R(Z-1)^2 p & _ cut = h c e V & Ratio 1 (Z-1)^2 for same beam & Z x = 40^2 45^2 & x= 45^2 40^2 .2 2.53 aligned )

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