Question

uncertainty in position is twice the uncertainty in momentum then uncertainty in velocity will be what?

Answer 1

Heya!

No worries

Here is your answer!.
------------------------------------------------------------------------------------------------------

Here is a principle known as Heisenberg uncertainty principle.


according to Heisenberg uncertainty principle

= Δx . ​Δp >= h / 2
h = h/2π 
​ Δx= uncertainty in position
Δp= uncertainty in momentum= m Δv

Let , Δx =​ Δv= y
​so, y2.m=h/4π
y=[h/(4mπ)]1/2
uncertainty in momentum= y.m= [mh/4π]1/2= 1/2.[mh/π]1/2
-----------------------------------------------------------------------------------------------------
Hope it helped!.