A.) what is the minimum uncertainty in an electron's velocity (δmin) if the position is known within 13 å? b.) what is the minimum uncertainty in a helium atom's velocity (δmin) if the position is known within 1.0 å?

Answer :

(a) The minimum uncertainty in an electron's velocity is,

(b) The minimum uncertainty in a helium atom's velocity is,

Explanation :

According to the Heisenberg's uncertainty principle,

...........(1)

where,

= uncertainty in position

= uncertainty in momentum

h = Planck's constant

And as we know that the momentum is the product of mass and velocity of an object.

or,

     .......(2)

Equating 1 and 2, we get:

(a) Given:

m = mass of electron =

h = Planck's constant =

=

conversion used :

Now put all the given values in the above formula, we get:

The minimum uncertainty in an electron's velocity is,

(b) Given:

m = mass of helium atom =

h = Planck's constant =

=

conversion used :

Now put all the given values in the above formula, we get:

The minimum uncertainty in a helium atom's velocity is,

i don't see a text, but i am gonna assume this *orbit* the curved path, usually elliptical, described by a planet, satellite, spaceship, etc., around a celestial body, as the sun.

they all get energy from eating other animals, dead animals to be more precise.

hienas tends to steal pray from other animals. crows and vultures tend to eat dead animals and leftovers.

hope it ,

bioteacher101