Answer:
5.68×10¯¹⁰ m
Explanation:
From the question given above, the following data were obtained:
Energy (E) = 3.50×10¯¹⁶ J
Wavelength (λ) =?
Energy (E) and wavelength (λ) are related according to the following formula:
E = hv/λ
Where
E => is the energy
h => is the Planck's constant
v => is the velocity of electromagnetic radiation
λ => is the wavelength of the radiation.
With the above formula, we can obtain the wavelength of the radiation as follow:
Energy (E) = 3.50×10¯¹⁶ J
Planck's constant (h) = 6.63×10¯³⁴ Js
Velocity (v) = 3×10⁸ m/s
Wavelength (λ) =?
E = hv/λ
3.50×10¯¹⁶ = 6.63×10¯³⁴ × 3×10⁸ / λ
3.50×10¯¹⁶ = 1.989×10¯²⁵/ λ
Cross multiply
3.50×10¯¹⁶ × λ = 1.989×10¯²⁵
Divide both side by 3.50×10¯¹⁶
λ = 1.989×10¯²⁵ / 3.50×10¯¹⁶
λ = 5.68×10¯¹⁰ m
Thus, the wavelength of the radiation is
5.68×10¯¹⁰ m
