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If alpha, beta and gamma rays carry same momentum, which has the longest wavelength?
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None, all have same wavelength.
If the momentum of $\alpha$ and $\beta$ particles are $p$, if this is also equal to $h v / c$ of the photon - $\gamma$-rays, $\lambda_{\text {de Broglie }}=h / p$
As $p$ is the same, the wavelength will be the same. For $\alpha$ and $\beta$ particles, they are de Broglie waves and in the case of photons ( $\gamma$-rays), it is the wavelength of the associated electromagnetic wave.
As $p$ is the same, the wavelength will be the same. For $\alpha$ and $\beta$ particles, they are de Broglie waves and in the case of photons ( $\gamma$-rays), it is the wavelength of the associated electromagnetic wave.
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