Question

Wave # Frequency Wavelength
Wave 1 6.66 × 1014 Hz 450 nm
Wave 2 5.77 × 1014 Hz 520 nm
Wave 3 4.61 × 1014 Hz 650 nm
Wave 4 4.28 × 1014 Hz 700 nm
Which wave contains the lowest energy?

(1 point)
Responses

wave 4
wave 4

wave 3
wave 3

wave 2
wave 2

wave 1

Answer 1

The energy of a photon can be calculated using the formula:

\[ E = h \cdot f \]

where:
- \( E \) is the energy,
- \( h \) is Planck's constant (\( 6.626 \times 10^{-34} \, \text{J s} \)),
- \( f \) is the frequency of the wave.

Since energy is directly proportional to frequency, the wave with the lowest frequency will have the lowest energy.

Now, let's examine the frequencies given:

- Wave 1: \( 6.66 \times 10^{14} \) Hz
- Wave 2: \( 5.77 \times 10^{14} \) Hz
- Wave 3: \( 4.61 \times 10^{14} \) Hz
- Wave 4: \( 4.28 \times 10^{14} \) Hz

Among these, Wave 4 has the lowest frequency (\( 4.28 \times 10^{14} \) Hz).

Therefore, the wave that contains the lowest energy is **wave 4**.