Given below are somefamous numbers associated with electromagnetic radiations indifferent contexts in physics. State the part of the electromagneticspectrum to which each belongs.
(a) 21 cm(wavelength emitted by atomic hydrogen in interstellar space).
(b) 1057 MHz (frequency of radiation arising from two closeenergy levels in hydrogen; known as Lamb shift).
(c) 2.7 K [temperature associated with the isotropicradiation filling all space-thought to be a relic of the ‘big-bang’origin of the universe].
(d) 5890 Å- 5896 Å [double lines of sodium]
(e) 14.4 keV [energy of a particular transition in ⁵⁷Fenucleus associated with a famous high resolution spectroscopic method
(Mössbauerspectroscopy)].

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Solution

(a) Radio waves; it belongs to the short wavelength end of theelectromagnetic spectrum.
(b) Radio waves; it belongs to the short wavelength end.
(c) Temperature, T = 2.7 °K
λ_mis given by Planck’s law as:
Thiswavelength corresponds to microwaves.
(d) This is the yellow light of the visible spectrum.
(e) Transition energy is given by the relation,
E= hν
Where,
h= Planck’s constant = 6.6 × 10⁻³⁴Js
ν= Frequency of radiation
Energy,E = 14.4 K eV
Thiscorresponds to X-rays.

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Similar questions

Given below are some famous numbers associated with electromagnetic radiations in different contexts in physics. State the part of the electromagnetic spectrum to which each belongs.

(a) 21 cm (wavelength emitted by atomic hydrogen in interstellar space).

(b) 1057 MHz (frequency of radiation arising from two close energy levels in hydrogen; known as Lamb shift).

(c) 2.7 K [temperature associated with the isotropic radiation filling all space thought to be a relic of the big-bang origin of the universe].

(d)

5890 ˚ A - 5896 ˚ A

[double lines of sodium]

(e) 14.4 ke V [energy of a particular transition in

^{57}

Fe nucleus associated with a famous high resolution spectroscopic method (

M ¨ o ssbauer spectroscopy

)].

Given below are some famous numbers associated with electromagnetic radiations in different contexts in physics. State the part of the electromagnetic spectrum to which each belongs.

(a) 21 cm (wavelength emitted by atomic hydrogen in interstellar space).

(b) 1057 MHz (frequency of radiation arising from two close energy levels in hydrogen; known as Lamb shift).

(c) 2.7 K [temperature associated with the isotropic radiation filling all space-thought to be a relic of the ‘big-bang’ origin of the universe].

(d) 5890 Å - 5896 Å [double lines of sodium]

(e) 14.4 keV [energy of a particular transition in ⁵⁷Fe nucleus associated with a famous high resolution spectroscopic method

(Mössbauer spectroscopy)].

Q. Match the List -I (Phenomenon associated with electromagnetic radiation) with List - II (Part of electromagnetic spectrum) and select the correct code from the choices given below the

	List - I		List - II
I	Doublet of sodium	A	Visible radiation
II	Wavelength corresponding to temperature associated with the isotropic radiation filling all space	B	Microwave
III	Wavelength emitted by atomic hydrogen in interstellar space	C	Short radiowave
IV	Wavelength of radiation arising from two close energy levels in hydrogen	D	X-rays

Q. The frequency of radiations arising from two close energy levels in hydrogen, known as lamb shift is

1057 M H z

. This frequency falls in which range of electromagnetic waves?

Q. Calculate the wavelength of the radiations emitted when an electron in a hydrogen atom undergoes a transition from

4^{t h}

energy level to the

2^{n d}

energy level. In which part of the electromagnetic spectrum does this line lie?

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