Answer:
1.99 x 10⁻¹³J
Explanation:
Data Given
wavelength of the gamma radiation = 1.00x10⁻³ nm
Convert nm to m
1 nm = 1 x 10⁻⁹
1.00x10⁻³ nm = 1.00x10⁻³ x 1 x 10⁻⁹ = 1.00 x 10⁻¹²m
Energy of photon = ?
Solution
Formula used
E = hc/λ
where
E = energy of photon
h = Planck's Constant
Planck's Constant = 6.626 x 10⁻³⁴ Js
c = speed of light
speed of light = 3 × 10⁸ ms⁻¹
λ = wavelength of radiation
Put values in above equation
E = hc/λ
E = 6.626 x 10⁻³⁴ Js ( 3 × 10⁸ ms⁻¹ / 1.00 x 10⁻¹²m)
E = 6.626 x 10⁻³⁴ Js (3 x 10²⁰ s⁻¹)
E = 1.99 x 10⁻¹³J
1.99 x 10⁻¹³J is energy of photon
