A photon has a frequency of

PHYSICS · Single correct · CBSE · Physics · Dual Nature of Radiation and Matter · Dual Nature of Radiation and Matter

Problem

A photon has a frequency of 7.9×1014 Hz7.9\times10^{14}\,\text{Hz}. Could this photon supply enough energy to bridge an electronic gap of 5.0×10−19 J5.0\times10^{-19}\,\text{J} in an atom? (a) No; calculating E=hνE=h\nu gives 5.2×10−20 J5.2\times10^{-20}\,\text{J}, which is smaller than 5.0×10−19 J5.0\times10^{-19}\,\text{J}. (b) Yes; the photon’s energy is about 5.2×10−19 J5.2\times10^{-19}\,\text{J}, slightly greater than 5.0×10−19 J5.0\times10^{-19}\,\text{J}, so the transition can occur. (c) No; since only the frequency is given and not the wavelength, the photon’s energy cannot be determined for comparison. (d) Yes; because any photon in the visible region necessarily carries more than 5.0×10−19 J5.0\times10^{-19}\,\text{J} of energy.

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