Many varieties of lasers emit light in the form of pulses rather than a steady beam. A tellurium–sapphire laser can produce light at a wavelength of 800 nm in ultrashort pulses that last only 3.75 × 10^−15 s. The energy in a single pulse produced by one such laser is 2.50 × 10^−6 joules, and the pulses propagate in the positive x-direction. Find the: (a) frequency of the light;
(b) energy and minimum energy uncertainty of a single photon in the pulse;
(c) minimum frequency uncertainty of the light in the pulse;
(d) spatial length of the pulse, in meters and as a multiple of the wavelength;
(e) momentum and minimum momentum uncertainty of a single photon in the pulse.