Homework problem 19

[505934309]

Hi all,

Could someone help me with the homework problem 19? I understand that we convert angstrom to m and plug that into the uncertainty equation but somewhere along the way I am messing up. Can someone walk me through what they did step by step because I do not know where I am going wrong.

[Arnav Ranade 2K]

You have the equation ∆x*∆p = h/4pi. ∆p can be broken down into ∆v times m. The problem asks to solve for uncertainty in velocity, so you wanna isolate ∆v. So you divide the equation ∆x*∆v*m = h/4pi to get ∆x = h/(4pi*∆x*m). Then you just substitute all the variables in (h=6.626x10^-34 J, ∆x = 1.5x10^-9m, m=9.11x10^-31 kg. Plugging in everything you would get the mass in m/s.