An accelerated electron has speed of 5*10⁶ ms⁻¹ with an uncertainty of 0.02%. The uncertainty in finding its location while in motion is x * 10⁻⁹m. The value of x is __________.
(Nearest integer)
[Use mass of electron = 9.1*10⁻³¹ kg, h = 6.63*10⁻³⁴ Js, π=3.14]

3 Views|Posted 7 months ago
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7 months ago

Δx . Δp = h/4π
Δx . mΔv = h/4π
Δv = 5 * 10? * 0.02/100 = 1000 m/s
∴ Δx = h/ (4πmΔv) = 6.63*10? ³? / (4*3.14*9.1*10? ³¹*1000)
= 5.8 * 10? m
= 58 * 10? m.

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