Question

the mass of photon having wavelength 0.1nm is

Answer 1

Given,

The wavelength of the photon particle = 0.1 nm

To find,

The mass of the given photon particle.

Solution,

We can easily solve this mathematical problem, by using the following mathematical formula.

hc/λ = mc²

(Here, h = Planck Constant, c = speed of light , λ= wavelength , m = mass)

The above mentioned equation is derived from the Planck Einstein relation.

Now,

h = 6.626×10-³⁴ JS

c = 3×10⁸ ms-¹

λ = 0.1 nm = 1 × 10-¹⁰ m

By putting the values, we get the following mathematical equation,

mc² = hc/λ

m = hc/λc²

m = h/λc

m = (6.626×10-³⁴)/(1 × 10-¹⁰×3×10⁸)

m = (6.626/3) × 10-³²

m = 2.21 × 10-³² kg

Hence, the approximate mass of the photon particle is 2.21 × 10-³² kg

Answer 2

Given : Wavelength =0.1nm =10⁻¹⁰ m

mass of photon=m=?

de-Broglie Wavelength = λ=h/mv

where h= Planck's constant=6.626 × 10⁻³⁴ m² kg / s

speed=v= 3x10⁸ m/s

m=h/vX λ

=6.626 x 10⁻³⁴ / 3 x 10⁸x10⁻¹⁰

m=2.208 x 10⁻³²  kg

∴ mass of photon =2.208 x 10⁻³²  kg