Question

Calculate the linear momentum of photons of wavelength 740 nm. What speed does anelectron need to travel to have the same linear momentum?

Answer 1

v = 9.824 x 10³ m/s

Step-by-step explanation:

given,

Linear momentum of photon,λ = 740 n m

for photon,

`p=(h)/(\lambda)`

h is the planks constant

P is the momentum

`p=(6.626* 10^(-34))/(740* 10^(-10))`

p = 8.95 x 10⁻²⁷ kg.m/s

For electron

p = m v

mass of electron = 9.11 x 10⁻³¹ Kg

`v = (8.95* 10^(-27))/(9.11* 10^(-31))`

v = 9.824 x 10³ m/s

hence, the velocity of electron is equal to v = 9.824 x 10³ m/s