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De broglie equation / wave nature of matter / structure of atom - class 11
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DE BROGLIE DERIVATION
De Broglie's equation may be derived by combining mass energy relationships proposed by Max Planck and Einstein. According to Planck's quantum theory, photon is assumed to have wave character and its energy is given by
E=hv ........ (1)
Where v = frequency of the wave, h = Plank's constant.
According to Einstein equation, photon is supposed to have particle character and its energy is given by
E=mc2 ........ (2)
where m = mass of photon, c = velocity of light.
From equations (1) and (2), we get,
hv=mc2
But v=λc wavelengthvelocity=frequency
∴λhc=mc2
λ=mch λ=mch
The above equation is applicable to material particle like electron. We may write
λ=mvh or λ=ph
where mv = p is the momentum of the particle.
λ=ph is called de Broglie equation and 'λ' = de Broglie wavelength.
Q.how to calculated mass of photon by de broglie equation?
De Broglie's equation may be derived by combining mass energy relationships proposed by Max Planck and Einstein. According to Planck's quantum theory, photon is assumed to have wave character and its energy is given by
E=hv ........ (1)
Where v = frequency of the wave, h = Plank's constant.
According to Einstein equation, photon is supposed to have particle character and its energy is given by
E=mc2 ........ (2)
where m = mass of photon, c = velocity of light.
From equations (1) and (2), we get,
hv=mc2
But v=λc wavelengthvelocity=frequency
∴λhc=mc2
λ=mch λ=mch
The above equation is applicable to material particle like electron. We may write
λ=mvh or λ=ph
where mv = p is the momentum of the particle.
λ=ph is called de Broglie equation and 'λ' = de Broglie wavelength.
Q.how to calculated mass of photon by de broglie equation?
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