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Chemistry · Structure of atom

हिन्दी

Calculate the uncertainty in velocity (\( \Delta v \)) of an electron if the uncertainty in its position (\( \Delta x \)) is \( 10^{-8} \text{ m} \). (Given: mass of electron \( m = 9.11 \times 10^{-31} \text{ kg} \), Planck's constant \( h = 6.626 \times 10^{-34} \text{ J s} \))

  1. A
    \( 5.79 \times 10^6 \text{ m s}^{-1} \)
  2. B
    \( 7.21 \times 10^3 \text{ m s}^{-1} \)
  3. C
    \( 3.16 \times 10^4 \text{ m s}^{-1} \)
  4. D
    \( 1.04 \times 10^5 \text{ m s}^{-1} \)
View Answer & Solution

Correct answer · Option D

\( 1.04 \times 10^5 \text{ m s}^{-1} \)

Explanation

Using Heisenberg's formula \( \Delta v = \frac{h}{4\pi m \Delta x} \), substituting the given values yields \( 1.04 \times 10^5 \text{ m s}^{-1} \).
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