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Dispersion refers to the frequency dependence of the properties of a wave.

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Why does the light passing through a prism get bent in the same direction twice?

($\phi_2 < \theta_2$) For a beam of light, dispersion will cause different wavelengths of light to bend in different angles, but they will all bend in the same sense. Hope this helps. Image source. …
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Dispersion of $E$ and $p$

No, $∆E^2$ is not $2\Delta E$: $$E^2 = p^2c^2 + (mc^2)^2$$ $$\delta(E^2) = \delta(p^2c^2) + \delta [(mc^2)^2]$$ $$ 2E.\delta(E) = c^2(2p.\delta(p)) + 0$$ $$\delta(E) = \frac{pc^2}{E} \delta(p)$$ Hope …
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