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A 600 W mercury lamp emits monochromatic...

A 600 W mercury lamp emits monochromatic radiation of wavelength 331.3 nm. How many photons are emitted from the lamp per second?

A

`1 xx 10^(19)`

B

`1 xx 10^(20)`

C

`1 xx 10^(21)`

D

`1 xx 10^(23)`

Text Solution

Verified by Experts

The correct Answer is:
C

`600 W = 600 J s^(-1)`
`:.` Energy emitted per second = 600 J
Energy of one photon `= (hc)/(lambda)`
`= (6.626 xx 10^(-34) Js xx 10^(8) ms^(-1))/(313.3 xx 10^(-9) m)`
`= 6.394 xx 10^(-19)`
Photon emiited per second `= (600 J)/(6.344 xx 10^(-9)) = 1 xx 10^(21)`
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