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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 xx10^(-34)" Js, velocity of light "=3xx10^(8)ms^(-1))`

A

`1xx10^(19)`

B

`1xx10^(20)`

C

`1xx10^(21)`

D

`1xx10^(23)`

Text Solution

Verified by Experts

The correct Answer is:
C
Given, power = 600 W
`lamda=331.3nm=331.3xx10^(-9)m,h=6.626xx10^(-34)Js`,
`c=3xx10^(8)ms^(-1),t=1sec`
Power = `"Energy"/"Time"=(nhc)/(lamdaxxt)`
`600=(nxx6.626xx10^(-34)xx3xx10^(8))/(331.3xx10^(-9)xx1)`
`rArrn=(600xx331.3xx10^(-9))/(6.626xx10^(-34)xx3xx10^(8))=1xx10^(21)`
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