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A gas absorbs a photon of 355 nm and em...

A gas absorbs a photon of ` 355 nm` and emits at two wavelengths . If one of the emission is at ` 6 80` nm , the other is at :

A

325 nm

B

743 nm

C

518 nm

D

1035 nm

Text Solution

Verified by Experts

The correct Answer is:
B

As energies are additive, `E = E_(1) + E_(2)`
or `(hc)/(lamda) = (hc)/(lamda_(1)) + (hc)/(lamda_(2)) or (1)/(lamda) = (1)/(lamda_(1)) + (1)/(lamda_(2))`
But `lamda = 355 nm, lamda_(1) = 680nm,`
`:. (1)/(355) = (1)/(680) + (1)/(lamda_(2))`
or `(1)/(lamda_(2)) = (1)/(355) - (1)/(680) = (325)/(355 xx 680)`
or `lamda_(2) = (355 xx 680)/(325) = 745nm`
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Knowledge Check

  • A gas absorbs a photon fo 355nm and emits at two wavelengths . If one fo the emission is at 6 80 nm , the other si at :

    A
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    B
    ` n = 4, l=0`
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    ` n = 3, 1=2`
    D
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    The wave length of emitted photons is in the ratio `1: 2:1`
    B
    The wave length of emitted photons is in the ratio `2:1:2`
    C
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    D
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  • A gas emits two wavelengths on the absorption of a photon of 355 nm. If one of the emission is of 680 nm, calculate the second wavelength.

    A
    325 nm
    B
    743 nm
    C
    518 nm
    D
    1035 nm
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