1. Calculate the frequency and the energy of light that has a wavelength of 568 cm 2. Calculate the frequency and the energy of light that has a wavelength of 726 cm
3. Calculate the frequency and the energy of light that has a wavelength of 482 cm
4. Calculate the frequency and the energy of light that has a wavelength of 879 cm
5. Calculate the frequency and the energy of light that has a wavelength of 167 cm
6. Calculate the frequency and the energy of light that has a wavelength of 572 cm

Please find the answers to the frequency and energy to each question below

Explanation:

Using the formulas;

λ = v/f

E = hf

Where;

λ = wavelength (metres)

v = speed of light (2.998 × 10^8 m/s)

f = frequency (Hz)

E = Energy of photon (J)

h = Plancks constant (6.63 × 10^-34 J.s)

1.) λ = 568cm = 5.68m

f = v/λ

f = 2.998 × 10^8 ÷ 5.68

f = 0.5278 × 10^8

f = 5.278 × 10^7 Hz

E = hf

E = 6.63 × 10^-34 × 5.278 × 10^7

E = 34.99 × 10^(-34+7)

E = 3.499 × 10^-26 J

2). λ = 726cm = 7.26m

f = v/λ

f = 2.998 × 10^8 ÷ 7.26

f = 0.413 × 10^8

f = 4.13 × 10^7 Hz

E = hf

E = 6.63 × 10^-34 × 4.13 × 10^7

E = 27.38 × 10^(-34+7)

E = 2.74 × 10^-26 J

3). λ = 482cm = 4.82m

f = v/λ

f = 2.998 × 10^8 ÷ 4.82

f = 0.622 × 10^8

f = 6.22 × 10^7 Hz

E = hf

E = 6.63 × 10^-34 × 6.22 × 10^7

E = 41.24 × 10^(-34+7)

E = 4.124 × 10^-26 J

4). λ = 879cm = 8.79m

f = v/λ

f = 2.998 × 10^8 ÷ 8.79

f = 0.341 × 10^8

f = 3.41 × 10^7 Hz

E = hf

E = 6.63 × 10^-34 × 3.41 × 10^7

E = 22.61 × 10^(-34+7)

E = 2.26 × 10^-26 J

5). λ = 167cm = 1.67m

f = v/λ

f = 2.998 × 10^8 ÷ 1.67

f = 1.795 × 10^8

f = 1.795 × 10^8 Hz

E = hf

E = 6.63 × 10^-34 × 1.795 × 10^8

E = 11.9 × 10^(-34+8)

E = 1.19 × 10^-25 J

6). λ = 572cm = 5.72m

f = v/λ

f = 2.998 × 10^8 ÷ 5.72

f = 0.524 × 10^8

f = 5.24 × 10^7 Hz

E = hf

E = 6.63 × 10^-34 × 5.24 × 10^7

E = 34.74 × 10^(-34+7)

E = 3.474 × 10^-26 J

the answer is d.) potassium