Question

To resolve an object in an electron microscope, the wavelength of the electrons must be close to the diameter of the object. What kinetic energy, ????k , must the electrons have in order to resolve a protein molecule that is 2.80 nm in diameter? Take the mass of an electron to be 9.11×10−31 kg .

Answer 1

Answer:
`=3.54* 10^(-20) J`

Step-by-step explanation:

Wavelength
`\left ( \lambda \right )=2.80* 10^(-9) m`

De-broglie equation
`\lambda =(h)/(mv)`

`2.80* 10^(-9) =(6.626* 10^(-34))/(9.11* 10^(-31)* v)`

`v=2.79* 10^5 m/s`

Kinetic Energy =
`(1)/(2)mv^2`

`=3.54* 10^(-20) J`