# Chemistry

posted by .

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 must the electrons have in order to resolve a protein molecule that is 2.10 nm in diameter? Take the mass of an electron to be 9.11× 10–31 kg.

=_____J

• Chemistry -

wavelength = h/mv
Substitute and solve for v, then substitute v into KE = 1/2 mv^2 and solve for KE.

• Chemistry -

λ=h/mv
2.10*10^-9=(6.63*10^-34)/(9.11*10^-31)v
(1.91*10^-39)v=6.63*10^-34
v=347120.42

k=1/2mv^2
k=1/2(9.11*10^-31)(347120.42)^2
k=5.49*10^-20

## Similar Questions

1. ### General Chemistry

An electron microscope employs a beam of electrons to obtain an image of an object. What energy must be imparted to each electron of the beam to obtain a wavelength of 15.2 pm?
2. ### Physics

To what voltages must we accelerate electrons (as in an electron microscope, for example) if we wish to resolve; a) a virus of diameter 12 nm , b) an atom of 0.12 nm, c) a proton of diameter 1.2 fm?
3. ### physics modern

1. a) If a photon and an electron each have the same energy of 20.0 eV, find the wavelength of each. b) If a photon and an electron each have the same wavelength of 250 nm, find the energy of each. c) You want to study an organic molecule …
4. ### chem 101

. In an electron microscope the electrons generate the image. For one of the scanning electron microscopes in our Central Analytical Facility, the electrons are accelerated to have a kinetic energy of 200,000 eV. Electrons with this …
5. ### chemistry

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 must the electrons have in order to resolve a protein molecule that is 8.10 nm in diameter?
6. ### chemistry

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 must the electrons have in order to resolve a protein molecule that is 8.10 nm in diameter?
7. ### CHEMISTRY

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 must the electrons have in order to resolve a protein molecule that is 7.90 nm in diameter?
8. ### Chemistry

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 must the electrons have in order to resolve a protein molecule that is 5.40 nm in diameter?
9. ### chemistry

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 must the electrons have in order to resolve a protein molecule that is 4.70 nm in diameter?
10. ### chemistry

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 must the electrons have in order to resolve a protein molecule that is 7.00 nm in diameter?

More Similar Questions