Answer:
The kinetic energy must the electrons have in order to resolve a protein molecule is E = 4.36 × [tex]10^{-21}[/tex] J
Explanation:
Given data
[tex]\lambda = 7.4[/tex] × [tex]10^{-9}[/tex] m
Mass of electron = 9.1 × [tex]10^{-31}[/tex] kg
From de-broglie theory
[tex]\lambda = \frac{h}{mv}[/tex]
[tex]v = \frac{h}{m \lambda}[/tex]
Put all the values in above formula we get
[tex]v = \frac{6.62 (10^{-34} )}{(7.4)(10^{-9} )(9.1)(10^{-31} )}[/tex]
v = 0.98 × [tex]10^{5} \frac{m}{s}[/tex]
Kinetic energy is given by
[tex]E = \frac{1}{2} m v^{2}[/tex]
[tex]E = \frac{1}{2} (9.1)0.98^{2}[/tex] × [tex]10^{-21}[/tex] J
E = 4.36 × [tex]10^{-21}[/tex] J
Therefore the kinetic energy must the electrons have in order to resolve a protein molecule is E = 4.36 × [tex]10^{-21}[/tex] J
