Answer:
Please find the answers to the frequency and energy to each question below
Step-by-step 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