2. To "observe" small objects, one measures the diffraction of particles whose de Broglie wavelength is approximately equal to the object's size. Find the kinetic energy (in electron volts) required for electrons to resolve (a) a large organic molecule of size 10.0 nm, (b) atomic features of size 0.100 nm, and (c) a nucleus of size 10.0 fm.
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- 73. When a metal is illuminated with light of wavelength 420 nm, the stopping potential is 0.65 V; when the wavelength of incident light is changed to 310 nm, the stopping potential is 1.69 V. Use these given data to find the work function of this metal in eV and a value of Planck's constant h (speed of light = 3 × 10® m/s, electronic charge = -1.6 x 10-19 C).1. Louis de Broglie postulated all matter has both a particle and wave nature. The wavelength of any matter wave is given by λ = h/p, where p is the linear momentum p = mv and both p and v are vectors. a) World class marathon runners can run at an average pace of about 3.00 min/km. What is the wavelength, momentum and kinetic energy of a 55 kg runner racing at this average speed? b) What is the uncertainty in the runner's velocity if the position is to be determined within one wavelength?
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