Relativistic addition of velocities

Suppose a pulsar with a speed of 0.96c approaches Earth, and a rocket with a speed of 0.995c heads toward the pulsar (both speeds measured n Earth's fram of reference). If the pulsar emits 10 ulses per second in its own fram of reference at what rate are the pulses emitted in the rocket's frame of reference?

Photoelectric Effect and Particle theorry of light

Ultraviolet light is incident normally on the surface of a certain substance. The binding energy of the electrons in this substance is 3.44 eV. The incident light has an intensity of 0.055 W/m2. The electrons are photoelectrically emitted with a maximum speed of 4.2 X 105 m/s. How many electrons are emitted from a square centimeter of the surface each second? Assume that the absorption of every photon ejects an electron.

Wave properties of particles

The resolving power of a microscope is proportional to the wavelength used. A resolution of approximately 1.0 x 10-11 m (0.01 nm) would be required in order to "see" an atom. (a) If electrons were used (electron microscope), what minimum kinetic energy would be required for the electrons? (b) If phtons were used, what minimum photon energy would be needed to obtain 1.0 x 10-11 m resolution?

Uncertainty principle

(a) Show that the kinetic energy of a nonrelativistic particle can be written in terms of its momentum as KE = P2 (squared)/2m. (b) Use the results of (a) to find the minimum kinetic energy of a proton confined withinna nucleus haveing a diamter of 1.0 x 10-15 m.

Electrons and magnetic field

Photons of wavelength 450 nm are incident on a metal. The most energetic electrons ejected from the metal are bent into a circular arc of radius 20.0 cm by a magnetic field with a magnitude of 2 x 10-5 T. What is the work function of the metal?