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Show that the radiation pressure exerted by an EM wave of intensity I on a surface kept in vacuum is `I//c`.

Text Solution

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Pressure `=("Force")/("Area") =(F)/(A)`
Force is the rate of change of momentum
`"i.e., "" "F=(dp)/(dt)`
`"Energy in time dt"" " U=p.C " or " p =U/c`
`:. " ""Pressure" = 1/A .(U)/(C.dt)`
`" prssure" =I/C " "[":." I = "Intensity" =(u)/(A.dt)]`
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Knowledge Check

  • An electromagnetic wave of intensity I falls on a surface kept in vacuum and exerts radiation pressure p on it.Which of the following are true ?

    A
    Radiation pressure is `I//c` if the wave is totally absorbed.
    B
    Radiation pressure is `I//c` if the wave is totally reflected.
    C
    Radiation pressure is 2 `I//c` if the wave is totally reflected.
    D
    Radiation pressure is in the range `I//cltplt2I//c` for real surfaces.

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