A photon has 8.6×10^-30 kg , calculate it's wave length
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Answer:
0.25 x 10^12
Explanation:
We consider photon's speed as same as of light because photon is massless.
Applying de-broglie's formula for wavelength.
lamda is plancks constant = 6.63 x 10^-34
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The wavelength of the photon is 0.25x10⁻¹² m.
Given,
The mass of the photon is 8.6x10⁻³⁰ kg.
To Find,
The wavelength of the photon.
Solution,
Using the de Broglie's formula
λ = h/mv
where
λ is the wavelength of the photon
h is the Planck's constant = 6.6x10⁻³⁴
m is the mass of the photon = 8.6x10⁻³⁰ kg
v is the velocity = 3x10⁸ m/s.
Now,
λ = 6.6x10⁻³⁴/(8.6x10⁻³⁰*3x10⁸)
λ = 0.25x10⁻¹² m
Hence, the wavelength of the photon is 0.25x10⁻¹² m.
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