Bohr’s Model; Matter Waves (Sections)Calculate the

Problem 52E

Bohr’s Model; Matter Waves (Sections)

Calculate the uncertainty in the position of (a) an electron moving at a speed of , (b) a neutron moving at this same speed (The masses of an electron and a neutron are given in the table of fundamental constants in the inside cover of the text.) (c) Based on your answers to parts (a) and (b), which can we know with greater precision, the position of the electron or of the neutron?

                                                               Step by Step Solution

Step 1 of 3

(a)

The uncertainty in position of a particle is given by the following equation.

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

From the given

Mass of electron =
Speed of electron =

Let’s calculate the speed;

And

Planck's constant =

Let’s calculate the uncertainty position of the electron.

Substitute the values in the equation (1)

Also

Therefore, the uncertainty in position of an electron is .

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