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AP EAMCET202315 May 2023Evening ShiftChemistryStructure of AtomActual

The de Broglie wavelength of an electron travelling with 20 % of velocity of light is ( h =6.626 10⁻³⁴ JS ; m _ e =9.1 10⁻³¹ ~kg )

Options

  1. A2.4 10⁻¹¹ ~m
  2. B1.2 10⁻¹¹ ~m
  3. C3.6 10⁻¹¹ ~m
  4. D4.8 10⁻¹¹ ~m

Correct answer

B. 1.2 10⁻¹¹ ~m

Step-by-step solution

C =3 10^8 ~ms ⁻¹ Velocity (V)= 20 3 10^8 100 =6 10^7 ~ms ⁻¹ Thus, = h m _ e V = 6.626 10⁻³⁴ (9.1 10⁻³¹ ) (6 10^7 ) =1.2 10⁻¹¹ ~m .

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