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Neon gas is generally used in the sign b...

Neon gas is generally used in the sign boards. If it emits strongly at 616 nm, calculate (a) the frequency of emission, (b) distance traveled by this radiation in 30 s (c). energy of quantum and (d) number of quanta present if it produces 2 J of energy

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`lambda_("neon") = 616 nm = 616 xx 10^(-9)m`
(i) `v_("Neon") = (c)/(lambda) = (3 xx 10^(8) m.s^(-1))/(616 xx 10^(-9) m) = 0.00487 xx 10^(17) s^(-1)`
`= 4.87 xx 10^(14) s^(-1)` (or Hertz)
(ii) `E = h V = 6.625 xx 10^(-34) J.s xx 4.87 xx 10^(14)s^(-1)`
`= 32.26 xx 10^(-20) J`
(iii) distance travelled = Velocity `xx` time `= 3 xx 10^(8) m.s^(-1) xx 30s = 90 xx 10^(8)m = 90 xx 10^(5)` km.
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