Calculate the uncertainty in velocity of electron present in nucleus
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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.
Answered by
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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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