Q154 / 160 · TS EAMCET 2019 (03 May Shift 2) · Physics

A photodiode sensor is used to measure the output of a 300 W lamp kept 10 m away The sensor has an opening of 2 cm in diameter. How many photons enter the sensor if the wavelength of the light is 660 nm and the exposure time is 100 m s. (Assume that all the energy of the lamp is given off as light and h=6.6×10-34 J s )

  • A
    3.6×1013
  • B
    2.8×1013
  • Correct answer
    C
    2.5×1013
  • D
    1.8×1013

Solution

Energy of photon is 

E=hcλ=6.6×10-34×3×108660×10-9=3×10-9

The number of photons emitted is given by,

n=Eenergy of lampPhoton energy×Area of sensorExposure area of lamp

∴   n=300×100×10-33×10-9×π×10-224π×102=2.5×1013

Hence, the correct answer is option: 'C'.

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