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Light with an energy flux of 18W//cm^(2)...

Light with an energy flux of `18W//cm^(2)` falls on a non-reflecting surface at normal incidence. If the surface has an area of `20cm^(2)`, find the average force exerted on the surface during a 30 minute time span.

Text Solution

Verified by Experts

The total energy falling on the surface is
`U=(18 W//cm^(2))xx(20 cm^(2))xx(30xx60 s)`
`=6.48 xx10^(5) J`
Therefore, the total momentum delivered (for complete absorption) is
`p=(U)/(c )=(6.48xx10^(5) J)/(3xx10^(8) m//s)=2.16 xx10^(-3) kg m//s`
The average force exerted on the surface is
`F=(p)/(t) =(2.16 xx10^(-3)/(0.18xx10^(4))=1.2xx10^(-6) N`
How will your result be modified if the surface is a perfect reflector?
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Knowledge Check

  • Light with an energy flux of 9 W cm^(-2) ? falls on a nonreflecting surface at normal incidence. If the surface has an area of 20 cm^(2) . The total momentum delivered for complete absorption in one hour is

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    B
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    C
    `2.16xx 10^(-3)kg ms^(-1)`
    D
    `3.16xx10^(-4)kg ms^(-1)`
  • A flashlight of intensity 9 W/ cm^(2) illuminates a perfectly reflective surface of area 300cm^(2) . The average force exerted on the surface due to the incident light photons is

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