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4. Energy corresponding to one of the lines in Paschen-series for H-atom is 18.16 x 1020 J. Find the possible quantum numbers for the e when it is present m the initial energy state Infrared lamps are used in restaurants and cafeterias to kcep food warm. The infrared radiation is strongly absorbed by water

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Q1

Infrared lamps are used in restaurants and cafeterias to keep fool warm. The infrared radiation is strongly absorbed by water raising its temperature and that of the food in which it is incorporated. How many photons per second of infrared radiation are produced by an infrared lamp that consumes energy at the rate of

100 w a t t (100 J S^{- 1}

and is 12% efficient in converting this energy to infrared radiation? Assume that infrared radiation has a Wavelength of 1500 nm.

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Q2

Infrared lamps are used in restaurants to keep the food warm. The infrared radiation is strongly absorbed by water, raising its temperature and that of the food. If the wavelength of infrared radiation is assumed to be

1500 n m

, then the number of photons per second of infrared radiation produced by an infrared lamp, that consumes energy at the rate of

100 W

and is

12 %

efficient only, is

(x \times 10^{19})

. The value of

x

is:
[Given:

h = 6.625 \times 10^{- 34} J - s

]

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Q3

Infrared lamps are used in restaurents to keep the food warm. The infrared radiation is strongly absorbed by water, raising its temperature and that of the food. If the wavelength of the infrared radiation is assumed to be 1500 nm, then the number of photons per second of infrared radiation produced by an infrared lamp that consumes energy at the rate of 100 W and is 12 % efficient only, is

x \times 10^{19}

. (Take h =

6 \times 10^{- 34}

x is .

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Q4

Energy corresponding to one of the lines in Paschen-series for

H - a t o m

is

18.16 \times 10^{- 20} J

. Find the possible quantum numbers for the

e^{-}

when it is present in the initial energy state.

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Q5

The energy corresponding to one of the lines in the Paschen series for

H

-atom is

18.16 \times 10^{- 20} J

. Find the quantum numbers for the transition which produce this line.

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