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ExamsNEETChemistry

The measurement of the electron position if associated with an uncertainty in momentum, which is equal to 1 × 10⁻¹⁸ g cm s⁻¹. The uncertainty in electron velocity is [mass of an electron is 9 × 10⁻²⁸ g]:

  1. 1 × 10⁹ cm s⁻¹
  2. 1 × 10⁶ cm s⁻¹
  3. 1 × 10⁵ cm s⁻¹
  4. 1 × 10¹¹ cm s⁻¹

Correct answer: 1 × 10⁵ cm s⁻¹

Solution

The uncertainty in velocity (Δv) is calculated using Δp = m × Δv, where Δp is the uncertainty in momentum and m is the mass of the electron. Substituting Δp = 1 × 10⁻¹⁸ g cm s⁻¹ and m = 9 × 10⁻²⁸ g, we get Δv = Δp / m = (1 × 10⁻¹⁸) / (9 × 10⁻²⁸) = 1 × 10⁵ cm s⁻¹.

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