Answer:
Energy and frequency are directly related to each other.
Step-by-step explanation:
Energy of photon is directly related to each other. The wave with high frequency have high energy.
Mathematical expression:
E = h.f
f = frequency
h = plancks constant
while wavelength and energy are inversely related to each other. The wave with higher wavelength have low energy.
Mathematical relationship:
f = c/λ
F = h. c/λ
Example:
Frequency of wave = 1.0 ×10¹¹ Hz
Wavelength of wave = ?
Energy of wave = ?
Solution:
speed of wave = wavelength × frequency
wavelength = speed of wave/ frequency
wavelength = 3×10⁸ m/s / 1.0 ×10¹¹ s⁻¹
wavelength = 3×10⁻³ m
Energy:
E = h. f
E = 6.63×10⁻³⁴ Kg.m²/s × 1.0 ×10¹¹ s⁻¹
E = 6.63×10⁻²³ Kg.m²/s²
Kg.m²/s² = j
E = 6.63×10⁻²³ j