Question

Calculate the momentum(in kg m/s) of a photon of wavelength 5000A o .

Answer 1

this is the formula for momentum and h is planks constant which is 6.63×10^-34

Answer 2

Given:

Wavelength of photon = 5000 A

To find:

Momentum of photon = ?

Formula to be used:

λ = $\frac{h}{p}$

Where:

λ = Wavelength

h = Plank's constant (6.63x$10^{-34}$ J-s)

p = Momentum

Calculation:

According to the De-Broglie relation for photon

λ = $\frac{h}{p}$

To solve the problem in easy way, the 5000A must be converted into meters.

As 1 A = $10^{-10}m$, ∴ 5000A = $5\times10^{-7}m$

As λ = $\frac{h}{p}$, to calculate momentum, the formula must be altered as:

p = $\frac{h}{\lambda}$

p = $\frac{6.63\times10^{-34} J-s}{5\times 10^{-7}} = 1.32\times 10^{-27}$

Conclusion:

The momentum(in kg m/s) of a photon of wavelength 5000A is calculated as $1.32\times10^{-27} kg m/s$.

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