Answer
3.75 x 10^-36 kg
Work Step by Step
1
Step 1:
E = hc/λ
h = 6.626 x 10^-34 J*s ; c = 2.998 x 10^8 m/s
λ = (589 nm) x (10^-9 m / 1 nm) = 5.89 x 10^-7 m
E = (6.626 x 10^-34 J*s)(2.998 x 10^8 m/s) / (5.89 x 10^-7 m) = 3.37 x 10^-19 J
2
Step 2:
E = m*c^2, so m = E / c^2
E = 3.37 x 10^-19 J = 3.37 x 10^-19 kg*m^2 / s^2
c = 2.998 x 10^8 m/s
m = E / c^2 = (3.37 x 10^-19 kg*m^2 / s^2) / (2.998 x 10^8 m/s)^2 = 3.75 x 10^-36 kg
