Ratio of longest wavelengths corresponding to Lyman and Balmer series in hydrogen spectrum is

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12.Atoms

normal

Ratio of longest wavelengths corresponding to Lyman and Balmer series in hydrogen spectrum is

$\frac{9}{{31}}$

$\frac{5}{{27}}$

$\frac{3}{{23}}$

$\frac{7}{{29}}$

Solution

$\left(\frac{\lambda_{\text {Lyman }}}{\lambda_{\text {Balmer }}}\right)_{\max }=\frac{\left(\frac{1}{2^{2}}-\frac{1}{3^{2}}\right)}{\left(\frac{1}{1^{2}}-\frac{1}{2^{2}}\right)}=\frac{5 / 36}{3 / 4}=\frac{5}{27}$

Standard 12

Physics

In Bohr model of hydrogen atom, the force on the electron depends on the principal quantum number as

normal

Match List $- I$ (Experiment performed) with List $-II$ (Phenomena discovered/associated) and select the correct option from the options given the lists

List $- I$ List $- II$

$(1)$ Davisson and Genner $(i)$ Wave nature of electrons

$(2)$ Millikan's oil drop experiment $(ii)$ Charge of an electron

$(3)$ Rutherford experiment $(iii)$ Quantisation of energy levels

$(4)$ Franck-Hertz experiment $(iv)$ Existence of nucleus

medium

(JEE MAIN-2014)

Ratio of longest wavelengths corresponding to Lyman and Balmer series in hydrogen spectrum is

normal

An $\alpha$-particle of energy $4\ MeV$ is scattered through $180^o $ by a fixed uranium nucleus. The distance of the closest approach is of the order of

medium

The wavelengths of ${K_\alpha }$ $X-$ rays of two metals $'A'$ and $'B'$ $\frac{4}{{1875R}}$ and $\frac{1}{{675R}}$ respectively, where $'R'$ is Rydberg's constant. The number of elements lying between $'A'$ and $'B'$ according to their atomic numbers is

normal

List $- I$	List $- II$
$(1)$ Davisson and Genner	$(i)$ Wave nature of electrons
$(2)$ Millikan's oil drop experiment	$(ii)$ Charge of an electron
$(3)$ Rutherford experiment	$(iii)$ Quantisation of energy levels
$(4)$ Franck-Hertz experiment	$(iv)$ Existence of nucleus

Ratio of longest wavelengths corresponding to Lyman and Balmer series in hydrogen spectrum is

Solution

Similar Questions

In Bohr model of hydrogen atom, the force on the electron depends on the principal quantum number as

Ratio of longest wavelengths corresponding to Lyman and Balmer series in hydrogen spectrum is

An $\alpha$-particle of energy $4\ MeV$ is scattered through $180^o $ by a fixed uranium nucleus. The distance of the closest approach is of the order of

The wavelengths of ${K_\alpha }$ $X-$ rays of two metals $'A'$ and $'B'$ $\frac{4}{{1875R}}$ and $\frac{1}{{675R}}$ respectively, where $'R'$ is Rydberg's constant. The number of elements lying between $'A'$ and $'B'$ according to their atomic numbers is

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