The Compton effect supports the fact that

  • A
    $X$-rays are transverse waves
  • B
    $X$-rays have a higher frequency compared to visible light
  • C
    $X$-rays can easily penetrate matter
  • D
    Photons have momentum

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$A$ sensor is exposed for time $t$ to a lamp of power $P$ placed at a distance $l$. The sensor has a circular opening that is $4d$ in diameter. Assuming all energy of the lamp is given off as light,the number of photons entering the sensor if the wavelength of light is $\lambda$ is (given $l >> d$):

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