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COMEDK2024Morning ShiftPhysicsDual Nature of MatterActual

The mass of a particle A is double that of the particle B and the kinetic energy of B is 1 8 th that of A then the ratio of the de- Broglie wavelength of A to that of B is:

Options

  1. A2 : 1
  2. B4 : 1
  3. C1 : 4
  4. D1 : 2

Correct answer

C. 1 : 4

Step-by-step solution

= h 2mK Given: m_A = 2m_B and K_B = 1 8 K_A K_A = 8K_B _A _B = m_B K_B m_A K_A = m_B K_B 2m_B 8K_B = 1 16 = 1 4 _A : _B = 1 : 4

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