Question

Calculate the mass of a photon with wave length 6.0 A°

Answer 1

Answer:

$\bigstar$ Given:

Wave length 6.0 A°

$\bigstar$ To Find:

The mass of a photon

$\bigstar$ Solution:

We Know That

$\boxed{\rm \lambda = \dfrac{h}{p} }$

Where,

λ = wavelength

h = planks constant

p = momentum = mv

$\rm \implies \lambda = \dfrac{h}{mv}$

Here,

λ = 6.0 A° = 6 × 10⁻¹⁰ m

h = 6.626 × 10 ⁻³⁴

v = 3 × 10⁸ m/s

Therefore,

$\rm \implies m = \dfrac{h}{v \times \lambda}$

$\implies \rm m = \dfrac{(6.626 \times 10 ^-34)}{(3 \times 10^8) \times (6 \times 10 ^-10)}$

$\implies \rm m = \dfrac{(6.626 \times 10^-34)}{(18 \times 10^-2)}$

$\implies \rm m = 0.3682 \times 10^-32 \;kg$

$\implies \rm m = 3.682 \times 10^-33 \;kg$

Hence,

The mass of a photon with wave length 6.0 A° is

3.682 x 10⁻³³