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Structure Of Atom

Question
CBSEENCH11005267

Lifetimes of the molecules in the excited states are often measured by using pulsed radiation source of duration nearly in the nano second range. If the radiation source has the duration of 2 ns and the number of photons emitted during the pulse source is 2.5 x 1015, calculate the energy of the source.

Solution

Frequency = fraction numerator 1 over denominator 2 cross times 10 to the power of negative 9 end exponent straight s end fraction space equals 0.5 space cross times space 10 to the power of 9 straight s to the power of negative 1 end exponent
Energy  = nhv
equals left parenthesis 2.5 space cross times space 10 to the power of 5 right parenthesis thin space left parenthesis 6.626 space cross times 10 to the power of negative 34 end exponent Js right parenthesis space left parenthesis 0.5 cross times 10 to the power of 9 straight s to the power of negative 1 end exponent right parenthesis
equals space 8.28 space cross times space 10 to the power of negative 10 end exponent straight J