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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 ? (`h = 6.626 xx 10^(-34)` Js, velocity of light `= 3 xx 10^(8) ms^(-1)`)

A

`8.35 xx 10^(19)`

B

`8.35 xx 10^(21)`

C

`8.35 xx 10^(20)`

D

`8.35 xx 10^(23)`

Text Solution

Verified by Experts

The correct Answer is:
C
Power`=500W=500Js^(-1), lambda=331.3 nm=3.313xx10^(-7)m`
`E=(hc)/(lambda)=(6.62xx10^(-34)Js xx 3.0xx10^(8)ms^(-1))/(3.313xx10^(-7)m) =5.99 xx 10^(-19)J`
Number of photons emitted per second `=(500Js^(-1))/(5.99xx10^(-19)J) =8.35 xx 10^(20)`
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