Part of JPH-01 — Modern Physics: Photoelectric Effect & Matter Waves

Photon Intensity, Pressure, and Force

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  • Tags: photon-pressure, radiation-pressure, force
  • Difficulty: Advanced

Radiation pressure arises from photon momentum. For a beam of power P and cross-section A:

  • Perfect absorption: Force = Pc\frac{P}{c}, Pressure = Ic\frac{I}{c} (where I = PA\frac{P}{A})
  • Perfect reflection: Force = 2P/c, Pressure = 2I/c (momentum change is doubled)
  • Partial reflection (coefficient r): Pressure = (1+r)I/c

For n photons per second: Force = n × Δp\Delta p. If each photon has momentum p = h/λ and is absorbed: F = nhfc\frac{nhf}{c} = Pc\frac{P}{c}. If reflected: F = 2nh/λ = 2P/c.

These concepts connect to solar sails and comet tails. JEE problems may ask about the force on a surface due to photon bombardment.

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