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The wavelength of a photon is 1.4 Å. It ...

The wavelength of a photon is 1.4 Å. It collides with an electron. The energy of the scattered electron is `4.26xx10^(-16)` J. Find the wavelength of photon after collision.

Text Solution

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Initial wavelength of photon ` lambda_(1)`
Final wavelength of photo ` lambda_(2)`
` 4.26 xx 10^(-16) = (hc)/(lambda_(1)) - (hc)/(lambda_(2))`
` (hc)/(lambda_(2)) = (hc)/(lambda_(1) - 4.26 xx 10^(16)`
`( 6.63 xx 10^(-34) xx 3 xx 10^(8))/(lambda_(2)) = 14.21 xx 10^(-18) - 4.26xx 10^(-16)`
` lambda_(2) = 2 xx 10^(-10) m = 2.0 Å`
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