Q1/ Suppose a neutron has a wavelength of6.25pm.

v = 6.53010^4 What is the neutron's kinetic energy, in megaelectronvolts?

Q2/ Assume we have a material with a work function of4.56eV.

What is the maximum speed, in meters per second, of electrons ejected from this metal by photons of light with wavelength 81 nm?

Q3/ A metal with a work function of 1.5 eV is illuminated by visible light with the full range of wavelengths, which we take to be 400 nm to 700 nm.

What is the maximum kinetic energy, in electron volts, of the photoelectrons?

Q4/ Consider a photon with wavelength 0.013nm

Part (a)What is the momentum of the photon in kilogram meters per second?

Part (b)What is its energy in megaelectronvolts?

Q5/ Suppose a photon has a momentum of 5.110^29kgm/s

Part (a)What is the wavelength of such a photon in micrometers?

Part (b)Find its energy in electron volts.

Q6/ Suppose an electron is moving at3.6% of the speed of light.

What is the wavelength of the electron in meters?

Q7/ Consider a proton with a6.2fm wavelength.

What is the velocity of the proton in meters per second? Assume the proton is nonrelativistic. (1 femtometer = 10^-15 m. )

Q8/ Suppose the velocity of an electron in an atom is known to an accuracy of2.8 10³m/s.

Part (a)What is the electron's minimum uncertainty in position in nm?

Part (b)How many times larger is this compared with the approximate 0.1 nm size of the atom?

Q9/ Suppose the position of an electron in a membrane is measured to an accuracy of 1.1 micrometers.

Part (a)What is the electron's minimum uncertainty in velocity in meters per second?

Part (b)If the electron has this uncertainty in its velocity, what is its uncertainty in kinetic energy in electron volts? A typical value for the speed of an electron in an organic material is 4 104104 m/s.

Q10/ A hydrogen atom in an excited state can be ionized with less energy than when it is in its ground state.

What is the minimum energy level n of an electron in a a hydrogen atom if 0.875 eV of energy can ionize it?