Question

Calculate the uncertainty in velocity of electron present in nucleus

Answer 1

Δx . Δp = h/(4 π)

Δx . mΔv = h/(4 π)

Δv = h / (4 π × Δx × m)

= 6.626 × 10^-34 / (4 π × 10^-15 m × 9.1 × 10^-31)

= 5.8 × 10¹⁰ m/s

Uncertainty in velocity is 5.8 × 10¹⁰ m/s

This velocity is greater than velocity of light. That is the reason why electron can’t stay inside the nucleus.

Answer 2

Δx . Δp = h/(4 π)

Δx . mΔv = h/(4 π)

Δv = h / (4 π × Δx × m)

= 6.626 × 10^-34 / (4 π × 10^-15 m × 9.1 × 10^-31)

= 5.8 × 10¹⁰ m/s

Uncertainty in velocity is 5.8 × 10¹⁰ m/s

This velocity is greater than velocity of light. That is the reason why electron can’t stay inside the nucleus.

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