Final answer:
The frequency of the radio wave with an energy of 1.55x10⁻³⁴ J is 2.343x10¹⁴ Hz.
Step-by-step explanation:
The frequency of a radio wave can be determined using the equation:
f = c/λ
where f is the frequency, c is the speed of light, and λ is the wavelength.
Since we are given the energy of the radio wave, we can use the equation:
E = hf
where E is the energy, h is Planck's constant, and f is the frequency.
By rearranging this equation, we can solve for the frequency:
f = E/h
Plugging in the given energy value of 1.55x10⁻³⁴ J and Planck's constant of 6.626x10⁻³⁴ J·s, we find:
f = (1.55x10⁻³⁴ J) / (6.626x10⁻³⁴ J·s) = 2.343x10¹⁴ Hz