A proton has momentum 10 raised to the power minus28 N s. and the uncertainty in the position is 10 raise d to the power minus18 m.Calculate the uncertainty in the momentum of the proton?
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CHEMISTRY
Calculate the uncertainty in the momentum of an electron if it is confined to a linear region of length 1×10
−10
metre.
November 22, 2019avatar
Sarah Karimikonda
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Answer:-
According to Heisenberg's uncertainty principle,
ΔxΔp≥
4π
h
Where Δx&Δp are the uncertainty in position and momentum respectively and h is Planck’s Constant.
Now, the uncertainty in position here is simply the region where your electron is confined. Here, it is 10
−10
∴Δp≥
4π×Δx
h
⇒Δp≥
4×3.14×10
−10
6.63×10
−34
⇒Δp≥5.27×10
−25
gms
−1
Hence, the uncertainty in the momentum is 5.27×10
−25
gms
−1
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sorry I don't know I will try my best
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