A 600 W mercury lamp emits monochromatic radiation of wavelength 313.3 nm. How many photons are emitted from the lamp per second ? (h = 6.626 xx 10^(-34) Js, velocity of light = 3xx 10^(8) ms^(-1))

A 600 W mercury lamp emits monochromatic radiation of wavelength 313.3

1.	A 600 W mercury lamp emits monochromatic radiation of wavelength 313.3 nm. How many photons are emitted from the lamp per second ? (h = 6.626 xx 10^(-34) Js, velocity of light = 3xx 10^(8) ms^(-1))
Answer» <html><body><p>`1 xx 10^(19)`<br/>`1 xx 10^(20)`<br/>`1 xx 10^(21)`<br/>`1 xx 10^(23)`</p><a href="https://interviewquestions.tuteehub.com/tag/solution-25781" style="font-weight:bold;" target="_blank" title="Click to know more about SOLUTION">SOLUTION</a> :`600 W = 600 J s^(-1) (1 W = 1 Js^(-1))` <br/> i.e., Energy <a href="https://interviewquestions.tuteehub.com/tag/emitted-7679123" style="font-weight:bold;" target="_blank" title="Click to know more about EMITTED">EMITTED</a> per <a href="https://interviewquestions.tuteehub.com/tag/sec-1197209" style="font-weight:bold;" target="_blank" title="Click to know more about SEC">SEC</a> = 600 J <br/> Energy of one photon, `E = hv = h (<a href="https://interviewquestions.tuteehub.com/tag/c-7168" style="font-weight:bold;" target="_blank" title="Click to know more about C">C</a>)/(lamda)` <br/> `= (6.626 xx 10^(-34) Js xx 3 xx 10^(8) <a href="https://interviewquestions.tuteehub.com/tag/ms-549331" style="font-weight:bold;" target="_blank" title="Click to know more about MS">MS</a>^(-1))/(313.3 xx 10^(-9) m)` <br/> `= 6.344 xx 10^(-19) J` <br/> `:.` Photons emitted per sec `= (600)/(6.344 xx 10^(-19))` <br/> `~= 1 xx 10^(21)`</body></html>