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]
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]
Asked by Shiksha User
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1 Answer
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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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