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Given that λ = h / p and λ = c / ν, calculate the frequency ν using v = c / λ = cP / h, where c = 3×10^8 m/s, P = 3.3×10^-29 kg·m/s, and h = 6.6×10^-34 J·s.

1. 1.5×10^13 Hz
2. 2.5×10^13 Hz
3. 3.5×10^13 Hz
4. None of these

Correct answer: 1.5×10^13 Hz

Solution

Using the given formula v = cP / h, substitute c = 3×10^8 m/s, P = 3.3×10^-29 kg·m/s, and h = 6.6×10^-34 J·s. The calculation gives v = (3×10^8 × 3.3×10^-29) / (6.6×10^-34) = 1.5×10^13 Hz.

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