I have the question: The speed of a certain proton is 0 45 Mm/s If the uncertainty in its - Chemistry - Atomic Structure

Question

I have the question: The speed of a certain proton is 0 45 Mm/s If
the uncertainty in its momentum is to be reduced to 0 0100 percent,
what uncertainty in its location must be tolerated?The ans is 0 70
nm Pls explain the solution

Garima Chaudhary · Accepted Answer

Dear student,

∆x ∆p≥h4π; where
∆p=(0 01%)mv ; where m= mass of proton (1 6726 x
10-27Kg) and v = speed of proton (0 45Mm/s), h =
planck's constant (6 626 x 10-34 Js)
∆x= 6 626×10-34 4×3 14×0
01×10-2×1 6726×10-27×0 45×106
∆x= 0 701nm

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I have the question: The speed of a certain proton is 0.45 Mm/s. If the uncertainty in its momentum is to be reduced to 0.0100 percent, what uncertainty in its location must be tolerated?The ans is 0.70 nm . Pls explain the solution