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Question 98 - The Planck-Einstein relation connects the particulate photon energy E with its associated wave frequency f to produce E = hf. Let h to be the Planck constant. The frequency f, wavelength L and speed of light c are related by E = hc / L. With p denoting the linear momentum of a particle, the de Broglie wavelength L of the particle is given by L = h / p. (a) Find the equation of E as a function of p and c. (b) If E has a unit of electron-volt and f has a unit of 1 / second, then what is the unit of h?
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Answer Posted / kangchuentat
Answer 98 - (a) Let first equation : E = hc / L, second equation : L = h / p. Substitute the second equation into first equation will produce E = hc / L = hc / (h / p) = pc. (b) E = hf then h = E / f. Dimensional analysis of h will produce E / f of electron-volt / (1 / second) or electron-volt-second. The answer is given by Kang Chuen Tat; PO Box 6263, Dandenong, Victoria VIC 3175, Australia; SMS +61405421706; chuentat@hotmail.com; http://kangchuentat.wordpress.com.
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