Subjective Type

Estimate the difference in energy between I and II Bohr Orbit for a hydrogen atom. At what minimum at no. a transition from n=2 to n=1 energy level would result in the emission of X-rays with $$\lambda = 3.0 x 10^8m$$? Which hydrogen like species does this at no correspond to.

Solution

Energy of $$n^{th}$$ orbit $$=-E_0\times \cfrac{1}{n^2}$$
Energy of $$1$$ orbit $$=-E_0= -13.6$$ $$eV$$
Energy of $$2$$ orbit $$=\cfrac{-E_0}{4}= -3.4$$ $$eV$$
$$\therefore$$ energy of difference$$=10.2$$ $$eV$$.

SIMILAR QUESTIONS

Atomic Structure

When the electron jumps from $$5^{th}$$ orbit to ground state, the number of spectral lines produced in the hydrogen spectrum is:

Atomic Structure

In a hydrogen-like sample, two different types of photons $$A$$ and $$B$$ are produced by an electronic transition. Photon $$B$$ has it's wavelength in infrared region, if photon $$A$$ has more energy than $$B$$, then the photon $$A$$ may belong to the region:

Atomic Structure

The discovery of Balmer and Lyman series was made before _______ proposing model for structure of atom.

Atomic Structure

Total no .of lines in Lyman series of H spectrum will be (where n = no.of orbits) :

Atomic Structure

A certain transition in $$H$$ spectrum from an excited state to ground state in one or more steps gives rise to a total of 10 lines. How many of these belong to the visible region of the spectrum?

Atomic Structure

What will happen when an electron jumps from an excited energy state to a more stable energy state in a hydrogen atom?

Atomic Structure

For emission line of atomic hydrogen from $$n_i=8$$ to $$n_f$$- the plot of wave number $$(\bar{v})$$ against $$\left(\dfrac{1}{n^2}\right)$$ will be: (The Rydberg constnt, $$R_H$$ is in wave number unit).

Atomic Structure

Heat treatment of muscular pain involves radiation of wavelength of about 900 nm. Which spectral line of H-atom is suitable for this purpose ? $$[R_H = 1 \times 10^5 \, cm^{-1}, \, h = 6.6 \times 10^{-34} \, Js, \, c = 3 \times 10^8 ms^{-1}]$$

Atomic Structure

The ratio of the shortest wavelength of two spectral series of hydrogen spectrum is found to be about $$9$$. The spectral series is:

Atomic Structure

Which of the following series of transitions in the spectrum of hydrogen atom fall in visible region?

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