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The momentum of a particle having a de Broglie wavelength of 10⁻¹⁷ metres is [Given h = 6.625 × 10⁻³⁴ Js]:

  1. 3.3125 × 10⁻¹⁷ kg ms⁻¹
  2. 26.5 × 10⁻¹⁷ kg ms⁻¹
  3. 6.625 × 10⁻¹⁷ kg ms⁻¹
  4. 13.25 × 10⁻¹⁷ kg ms⁻¹

Correct answer: 6.625 × 10⁻¹⁷ kg ms⁻¹

Solution

The de Broglie wavelength (λ) is related to momentum (p) by the formula λ = h/p. Rearranging, p = h/λ. Substituting h = 6.625 × 10⁻³⁴ Js and λ = 10⁻¹⁷ m, we get p = (6.625 × 10⁻³⁴) / (10⁻¹⁷) = 6.625 × 10⁻¹⁷ kg ms⁻¹.

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