The amplifying medium of a helium-neon laser has an amplification spectral band equal to (Delta v=1 mathrm{GHz})

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The amplifying medium of a helium-neon laser has an amplification spectral band equal to \(\Delta v=1 \mathrm{GHz}\) at \(\lambda=632.8 \mathrm{~nm}\). For simplicity, the spectral profile is assumed to be rectangular. The linear cavity is \(30 \mathrm{~cm}\) long. Calculate the number of longitudinal modes that can oscillate in this cavity.

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