Question

Violet light has a wavelength of 4.50 x 10-12 m. What is the frequency?*

3 points

1.5 x10^20 1/s

0.0135 1/s

6.77x10^19 1/5

3x10^8 1/s

Green light has a frequency of 6.73 x 1014 1/s. What is the wavelength?*

3 points

2.24x10^6 m

4.46x10^-7 m

2.02 x 10^23 m.

4.95 x 10^-24 m

3 points

What is the energy (Joules) of violet light with a frequency = 3.43 x 10^14

1/s? *

4.54x10^-19 J

1.99x10^-25 J

1.93 x 10^-48 J

2.27 x 10^-19 J

Answer 1

To find a light's frequency given its wavelength, use the formula f = c / λ. For energy calculation of a photon, the formula E = hf is used. Applying these formulas, violet light with a given wavelength corresponds to a frequency of 6.67 × 10¹¹ Hz, green light with a given frequency has a wavelength of 4.46 × 10⁻⁷ m, and the energy of violet light with a frequency of 3.43 × 10¹⁴ 1/s is 2.27 × 10⁻¹⁹ J.

Step-by-step explanation:

The relationship between the wavelength (λ) and frequency (f) of light is given by the equation c = fλ, where c represents the speed of light in a vacuum (approximately 3.00 × 10^8 m/s). To find the frequency when the wavelength is given, we can rearrange the equation to f = c / λ. Similarly, to find the energy (E) of a photon, we use the equation E = hf, where h is Planck's constant (6.626 × 10^-34 J·s).

For the violet light with a wavelength of 4.50 × 10-12 m, the frequency is calculated using f = c / λ, which yields 6.67 × 10^19 Hz (1/s). For green light with a frequency of 6.73 × 1014 Hz, the wavelength can be found using λ = c / f, giving a result of 4.46 × 10^-7 m. Lastly, the energy of violet light at a frequency of 3.43 × 10^14 1/s is found using E = hf, which results in an energy of 2.27 × 10^-19 J.

Answer 2

Frequency = 6.67x10¹⁹ s⁻¹

Wavelength = 4.46x10⁻⁷m

e = 2.27x10⁻¹⁹J

Step-by-step explanation:

To convert frequency to wavelength and vice versa we use the equation:

Wavelength = Speed of light / Frequency

Speed ligth is 3x10⁸m/s

For a wavelength of 4.50x10⁻¹²m:

4.50x10⁻¹²m = 3x10⁸m/s / Frequency

Frequency = 3x10⁸m/s / 4.5x10⁻¹²m

Frequency = 6.67x10¹⁹ s⁻¹

For a frequency of 6.73x10¹⁴s⁻¹:

Wavelength = 3x10⁸m/s / 6.73x10¹⁴s⁻¹

Wavelength = 4.46x10⁻⁷m

And energy, e, from frequency, is obtained as follows:

e = h ₓ frequency

Where h is Planck's constant, 6.626x10⁻³⁴J*s

e = 6.626x10⁻³⁴J*s*3.43x10¹⁴s⁻¹

e = 2.27x10⁻¹⁹J